Mason and Laney run laps. The ratio of the number of laps Mason ran to the number Laney ran was 2:3.
If Laney ran 930 meters, how far did Mason run? Draw a tape diagram to determine how you fou your answer.

Answers

Answer 1

Using proportions, it is found that Mason ran 620 meters.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the ratio, the rule of three is given as follows:

2 laps for Mason - 3 laps for Laney.

n meters for Mason - 930 meters for Mason.

Applying cross multiplication:

3n = 930 x 2

n = 930 x 2/3

n = 620

Mason ran 620 meters.

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Related Questions

PLEASE HELP URGENT

B Pick the inequality that matches the graph shown. Show all of your work to explain the
choice you selected. (See Ex. 1)

Answers

Answer:

  B.  y > 3x -7

Step-by-step explanation:

We can choose the correct inequality based on the y-intercept and the shading.

Y-intercept

The dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.

Shading

The shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...

  y > ( ) . . . . eliminates choice A

and

  x < ( )  or  ( ) > x . . . . eliminates choice C, confirms choice B

The inequality that matches the graph is y > 3x -7.

__

Additional comment

For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a positive coefficient. If the coefficient is negative, you can do either of ...

add the opposite of that variable term to both sides of the equationreverse the inequality symbol

That is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.

PLEASE HELP ASAP. I WILL MARK AS BRAINLIEST

Answers

You must go 45 miles per hour to reach the longest distance.

Number of hours the car can run

The given parameters are:

Speed = 60 miles per hourTime = 5 hours

When the speed increases by 1 mile per hour, the time reduces by 10 minutes.

This means that:

When

Speed = (60 + x) miles per hour

The time is:

Time = 5 hours - 10 minutes * x

Convert minutes to hour

Time = 5 hours - 1/6 * x hour

This gives

Time = 5 - x/6 hour

Hence, the car can run for (5 - x/6) hours

The distance for 1 tank of gas

We have:

Speed = (60 + x) miles per hour Time = (5 - x/6) hours

The distance is calculated using

Distance = Speed * Time

This gives

Distance = (60 + x)(5 - x/6)

Expand

Distance = 300 - 10x + 5x - x^2/6

Evaluate the like terms

Distance = 300 - 5x - x^2/6

Hence, the distance for 1 tank of gas is 300 - 5x - x^2/6 miles

The longest distance

We have:

D = 300 - 5x - x^2/6

Differentiate

D' = -5 - x/3

Set to 0

-x/3 = 5

Solve for x

x = -15

Substitute x = -15 in D = 300 - 5x - x^2/6

D = 300 - 5(-15) - (-15)^2/6

Evaluate

D = 337.5

Hence, the longest distance is 337.5 miles

The speed for the longest distance

We have:

x = -15

Substitute x = -15 in Time = (5 - x/6) hours

Time = (5 + 15/6) hours

Evaluate

Time = 7.5 hours

The speed is calculated as:

Speed = Distance/Time

This gives

Speed = 337.5/7.5

Evaluate

Speed = 45

Hence, you must go 45 miles per hour to reach the longest distance.

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Identify each of the following as rational or irrational.

Answers

Answer:A rational number can be written as a fraction of two integers. √23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction. 104.42 is rational because it can be expressed as 10442/100 . We can express it as this because.

Step-by-step explanation:

Simplify 4a - 2a + a

Answers

Answer:

=> 3a

Step-by-step explanation:

=> 4a - 2a + a

=> 2a + a

=> 3a

Answer:

[tex]\boxed{\bf 3a}[/tex]

Step-by-step explanation:

[tex]\bf 4a - 2a + a[/tex]

Combine 4a and -2a = 2a.

[tex]\bf 2a+a[/tex]

Combine 2a and a = 3a

[tex]\bf 3a[/tex]

---------------------------------------

-2x
10. What is the least common denominator of 21+2+³=1?
+3
O(x - 1)(x+1)
Ox(x - 1)2(x + 1)
O(x-1)2(x + 1)
Ox(x - 1)(x + 1)

Answers

Answer:

O(x-1)2(x + 1)

Step-by-step explanation:

Miss Goh bought 6 blouses, 2 skirts and 2 dresses for $560. A blouse and a skirt cost $107. A blouse and a dress cost $134. What was the cost of a dress?

Answers

Answer:

$95 FOR A DRESS

Step-by-step explanation:

Let's rearrange the given:

  She bought a blouse and skirt for two, a blouse and a dress for two, and a blouse for two.

     A blouse and a skirt cost $107

     A blouse and a dress cost $134

     blouse cost x dollars

The equation:

     2($107) + 2($134) + 2x = $560

SOLUTION:

   $214 + $268 + 2x = $560

   2x = $560 - $214 - $268

   2x = $78

   x = $39 for a single blouse

FIND THE COST OF DRESS:

   A blouse and a dress cost $134 - $39 for a single blouse

      $134 - $39 = $95

$95 IS THE COST OF DRESS

   

Which is the graph of f(x) = 4( 1 /2)x

Answers

Answer:

I don't see any option to choose from.

Step-by-step explanation:

See attached graph.

f(x) = 4( 1 /2)x can be rewritten as y = 2x.  This is a straight line with slope 2 and a y-intercept of 0.

Trini rode her bike 12 miles on Friday. She rode 14 miles on Saturday and 15 miles on Sunday. How many miles did she ride in all?​

Answers

Answer: 41

Step-by-step explanation:

12+14+15= 41

The interior angle of a regular polygon is twice the exterior angle how many sides has the polygon

Answers

Answer:

6 sides

Step-by-step explanation:

the interior angle + the exterior angle = 180°

let x be the exterior angle then 2x is the interior angle and

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

the exterior angle = 60°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular the the exterior angles are congruent, then

number of sides = 360° ÷ 60° = 6

PLEASE HELP!!!!
Use the following set of data:

78, 78, 83, 85, 89, 91, 95, 98
What is the median for the set of data?
(A) 85
(B) 89
(C) 87
(D) 98

Answers

Answer:

87

Step-by-step explanation:

The median of a data set is the value that is exactly in the middle of all other values.

To find the median of a data set, we typically list the values in order of greatest to least, and we look for the number in the middle.

Here, the list-maker has already provided the list in this order!

78, 78, 83, 85, 89, 91, 95, 98

we can see two numbers exactly in the middle here--when this happens, we take the mean/average of the two:

85 + 89 = 174

174 / 2 = 87

So, the median of this data set is 87

hope this helps! have a lovely day :)

87, add all numbers together

To get 697, then divide by amount on numbers (8)

To get 87.125 then round to the nearest whole number

To get 87

How many sandwiches do
you think would be supplied by this
market if the price were $3.50?

Answers

Answer:  675

=========================================================

Explanation:

Start at $3.50 on the vertical y axis. Draw a horizontal line until you reach the supply curve. Then drop straight down to land somewhere between 650 and 700 units supplied per day. Check out the diagram below.

A good estimate may be to use the midpoint. Add up those values and divide in half.

(650+700)/2 = 1350/2 = 675

Therefore, we estimate that 675 sandwiches per day would be supplied if the price was $3.50 per sandwich.

An inequality is shown below:
−np − 3 ≥ 7(c − 4)
Which of the following solves for n?

Answers

The solution of n is [tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

How to solve for n?

The inequality is given as:

−np − 3 ≥ 7(c − 4)

Add 3 to both sides

−np  ≥ 7(c − 4) + 3

Divide through by -p;

This changes the inequality sign.

So, we have:

[tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

Hence, the solution of n is [tex]n \le -\frac 1p(7(c - 4) + 3)[/tex]

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Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was 2.5, and the standard deviation was 0.5. What is the margin of error, assuming a 95% confidence level

Answers

The margin of error is ±0.1706

What is the margin of error?

The margin of error is a statistical solution for the amount of random sampling error in the survey results.

What is 95% of a confidence level?

The 95% confidence interval means from 100 different samples computing a 95% of confidence for each sample. From this, we get the approximate value 95 of the 100 confidence intervals will contain the true mean value.

We have a sample size of n=33

The critical value of the significance level is [tex]\alpha =0.05\\z_{\frac{\alpha }{2} }=1.96[/tex]

Then our sample mean will be 2.5

then the standard deviation is 0.5

from this, we can assume that this is a normal distribution.

then our margin of error will be

[tex]E=[/tex]±[tex]z_{\frac{\alpha }{2} }\frac{deviation}{\sqrt{n} }[/tex]

⇒[tex]E=[/tex]±[tex](1.96)\frac{0.5}{\sqrt{33} }\\[/tex]

≅±0.1706 is the margin of error.

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I need answer quickly

Answers

Answer:

√85

Step-by-step explanation:

a² + b² = c²

6² + b² = 11²

36 + b² = 121

b² = 121 - 36

b² = 85

b = √85

Answer:

Hello! The answer is [tex]b = \sqrt{85}[/tex].

Step-by-step explanation:

To solve this question, we have to use the Pythagorean theorem. We are given one of the legs and the hypotenuse. (The hypotenuse is opposite the right angle).

a^2 and b^2 represent our legs while c^2 represents the hypotenuse.

We have to substitute our values in for a^2 and c^2:

6^2 + b^2 = 11^2

This leaves us with 36 + b^2 = 121

To get b^2 by itself, we have to subtract 36 from both sides:

36 + b^2 = 121

-36             -36


This leaves us with b^2 = 85

To get just b, we have to take the square root:

√b^2 = √85

This leaves us with [tex]b = \sqrt{85}[/tex].

find the values of x work 10% of my grade

Answers

Answer:

x = 35

Step-by-step explanation:

1. Add all angles

[tex]115+(x+36)+24+(2x+10)+2x[/tex]

= [tex]5x+185[/tex]

2. Match 360 and fix

[tex]5x+185=360[/tex]

[tex]5x=360-185[/tex]

[tex]5x=175[/tex]

[tex]x=175/5[/tex]

[tex]x=35[/tex]

Hope this helps

Answer:

[tex]\boxed{\sf x = 35^o}[/tex]

Step-by-step explanation:

Let's find the value of x :-

[tex]\sf 115 + x + 36 + 24 + 2x + 10 + 2x = 360^o[/tex]

Add the numbers.

[tex]\sf 185 + x + 2x + 2x = 360[/tex]

Combine like terms.

[tex]\sf 5x + 185 = 360[/tex]

Subtract 185 from both sides.

[tex]\sf 5x = 175[/tex]

Divide both sides by 5.

[tex]\sf x = 35^o[/tex]

--------------------------------------


2. Find four consecutive integers such that six times the sum of the first and third is 12
greater than 9 times the fourth.

Answers

Answer:

9

Step-by-step explanation:

a,a+1,a+2,a+3,...

6(a+(a+2))=12+9(a+3)

6(2a+2)=12+9a+27

12a+12=12+9a+27

12a-9a=27

3a=27

a=9

I need to find the restrictions for this equation:

Answers

Answer:

Simplify 2x^2-5x-3/x^2-9

The answer is 2x+1 / x+3

Step-by-step explanation:

Simplify the expression.

what is 2,104.50 divided by 122

Answers

2104.50 ÷ 122 = 17.25

...

The French army stayed behind in Egypt—and so did the scholars. In late August, shortly after Napoleon's departure, a large, heavy package arrived at the scholars' palace in Cairo. When they opened it, they found it contained a black stone slab covered with writing in three different scripts.

A note from a French army officer accompanied the package. He told the scholars that the stone had been unearthed in an old fort near the town of Rosetta, thirty-five miles north of Alexandria. French soldiers were tearing down a ruined wall in the fort when they came upon the slab.

Which statement accurately describes a cause-and-effect relationship described in this excerpt?

Because Napoleon departs for France, the French army and scholars decide to stay in Egypt.
Because the French army and scholars decide to stay in Egypt, Napoleon decides to depart for France.
Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.
Because the French soldiers are searching for the Rosetta Stone, they tear down a ruined wall in a fort.

Answers

The statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.

What is a cause-and-effect relationship?

A cause-and-effect relationship occurs when:

Two events occur at the same time and in the same place.One event immediately precedes the other.The second event appears unlikely to have happened without the first event occurring.

Thus, the statement that accurately describes a cause-and-effect relationship described in this excerpt is C. Because the French soldiers are tearing down a ruined wall in a fort, they discover the Rosetta Stone.

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60 POINTS PLEASEEEEEEEEEEEE

Answers

Answer:

A.) Two

Step-by-step explanation:

You can determine the amount of solutions the functions have by counting the number of intersections they have. Since the functions cross each other at two different points, there are two solutions.

The answer is A, twosolutions

A sum of Rs. 500 is in the form of denominations of Rs. 10 and Rs. 20. If total number of notes are 35, find the number of notes of each denomination.​

Answers

Answer: 20 of banknotes, denomination of Rs. 10 and 15 of banknotes, denomination of Rs. 20.

Step-by-step explanation:

Let the number of banknotes, denomination of Rs. 10 will be equal to x,

and the number of banknotes, denomination of Rs. 20 will be equal to y.

Hence;   [tex]\left \{ {{x+y=35\ \ \ \ } \atop {10*x+20*y=500\ |:10 \ \ }} \right. \ \ \ \ \left \{ {{x+y=35\ \ (1)} \atop {x+2y=50\ \ (2)}} \right. \\[/tex]

From (2) subtract (1):

[tex]y=15\ \ \ \ \ \Rightarrow\\x+15=35\\x=20.[/tex]

Can someone help me out on this problem

Answers

The correlation is a strong negative correlation, because as the weights increases the city MPG decreases

The graph of the table of values

To do this, we plot the weights on the x-axis, and the city MPG on the y-axis

See attachment for graph

Type of correlation

The correlation is a strong negative correlation, because as the weights increases the city MPG decreases

The equation of the line of best fit

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 463Sum of Y = 388Mean X = 28.9375Mean Y = 24.25Sum of squares (SSX) = 862.9375Sum of products (SP) = -857.75

The line of best fit equation is

y = bx + a

Where

b = SP/SSX = -857.75/862.94 = -0.99399

a = MY - bMX = 24.25 - (-0.99*28.94) = 53.01354

So, we have:

y = -0.99399x + 53.01354

Approximate

y = -0.99x + 53

Hence, the equation of the line of best fit is y = -0.99x + 53

The weight for 30 MPG

This means that y = 30

So, we have:

-0.99x + 53 = 30

Subtract 53 from both sides

-0.99x = -23

Divide by -0.99

x = 23.23

Approximate

x =23

Hence, the predicted weight is 23 pounds

The city MPG for 1500 pounds

This means that x = 1500

So, we have:

y = -0.99 * 1500 + 53

Evaluate

y = -1432

Hence, the city MPG for 1500 pounds is -1432

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35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
35. Passes through (-2, 8) and (4, 6)

Answers

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as [tex]$y=-\frac{1}{3} x-\frac{26}{3}$[/tex].

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

Substitute [tex]$6 \& 8$[/tex] for [tex]$y_{2}$[/tex] and [tex]$y_{1}$[/tex] respectively, and 4&-2 for [tex]$x_{2}$[/tex] and [tex]$x_{1}$[/tex] respectively in the above formula. Then simplify to get the slope as follows, [tex]$m=\frac{6-8}{4-(-2)}$[/tex]

[tex]$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$[/tex]

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

[tex]$y-y_{1}=m\left(x-x_{1}\right)$[/tex]

Substitute [tex]$-\frac{1}{3}$[/tex] for m,-2 for [tex]$x_{1}$[/tex], and 8 for [tex]$y_{1}$[/tex] in the above equation and simplify using the distributive property as follows, [tex]y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex]

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation [tex]$y-8=-\frac{1}{3} x-\frac{2}{3}$[/tex], and simplify as follows, [tex]$y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$[/tex]

[tex]$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$[/tex]

This is the required linear equation.

In the parallelogram below, solve for x and y.
I have y but i can’t figure out x

Answers

Step-by-step explanation:

how did you get y, when you don't know how to get x ?

the easiest way to solve this is to base on the fact that the opposite angles must be identical.

so,

2x + 32 = 4x - 12

32 = 2x - 12

44 = 2x

x = 22

and the to be sure

-8y - 14 = -5y + 4

-3y = 18

y = -18/3 = -6

or, the sum of 2 consecutive angles must be 180°.

2x + 32 - 5y + 4 = 180

2x - 5y + 36 = 180

2x - 5y = 144

-8y - 14 + 4x - 12 = 180

-8y + 4x = 206

-4y + 2x = 103

-5y + 2x = 144

- -4y + 2x = 103

------------------------

- y 0 = 41

y = -41

-4×-41 + 2x = 103

164 + 2x = 103

2x = -61

x = -30.5

ha, your teacher either set a trap or made a mistake.

these given angles do not belong to a parallelogram.

there is no solution for x and y with these angle expressions to create a parallelogram.

every condition that has to be true creates a different and inconsistent set of solutions (and implausible ones at that creating single angles larger than 200° and even 300°, or smaller than 0°).

The endpoints of FG are F(3.75,9) and G (2,-12).
If point E divides FG in the ratio 3:4, the coordinates of point E are what?
If point H divides FE in the ratio 2:3, the coordinates of point H are what?

Answers

Using proportions, it is found that:

The coordinates of point E are (3,0).The coordinates of point H are (3.45, 5.4).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point E divides FG in the ratio 3:4, hence:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

[tex]x - 3.75 = \frac{3}{7}(2 - 3.75)[/tex]

x - 3.75 = -0.75.

x = 3.

For the y-coordinate:

[tex]E - F = \frac{3}{7}(G - F)[/tex]

[tex]y - 9 = \frac{3}{7}(-12 - 9)[/tex]

y - 9 = -9

y = 0.

The coordinates of point E are (3,0).

Point H divides FE in the ratio 2:3, hence:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

This is used to find both the x and y coordinates.

For the x-coordinate, we have that:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

[tex]x - 3.75 = \frac{2}{5}(3 - 3.75)[/tex]

x - 3.75 = -0.3.

x = 3.45.

For the y-coordinate, we have that:

[tex]H - F = \frac{2}{5}(E - F)[/tex]

[tex]y - 9 = \frac{2}{5}(0 - 9)[/tex]

y - 9 = -3.6

y = 5.4.

The coordinates of point H are (3.45,5.4).

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Answer:

The coordinates of point E are (3,0).

The coordinates of point H are (3.45, 5.4).

Step-by-step explanation:

I just got it right on the test

Which expressions are equivalent to 12r-5
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
6(2r+(-1))+1

(Choice B)
B
-4(2+(-3r))+3

(Choice C)
C
None of the above

Answers

The expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 12r - 5

A) 6(2r+(-1))+1

= 12r + 6(-1) + 1

= 12r -5

B) -4(2+(-3r))+3

= -8 -4(-3r) + 3

= -5 + 12r

or

= 12r - 5

Thus, the expression 12r - 5 are equivalent to 6(2r+(-1))+1 and -4(2+(-3r))+3 option (A) and (B) are correct.

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You enter a room. 2 dogs, 4 horses, one giraffe, and a duck are laying on a bed. 3 chicken are flying over a chair. How many legs are on the ground?.

Answers

Answer: the answer is 28

Step-by-step explanation:

Y=
Help me please thank u

Answers

Answer:

Y≈4.6

Step-by-step explanation:

Because the hypotenuse is 9rad2 and the angle opposite of it is a 90. You can deduce it is a 90-45-45. From this you can tell the legs are 9. You then do 9 tan 26 to get about 4.4, and after this you subtract it from 9.

find the area of a circle whose radius is 'x', unit. ​

Answers

3.14 x² units

Step-by-step explanation:

Radius = x units. ----(given)

π = 3.14

Area of cirlce = πr²

= 3.14 * x²

= 3.14 x² units.

Hope it helps you!!

Answer:

area = πx² square units

Step-by-step explanation:

Formula for the area of a circle:

area = πr²,

where r = radius.

In this problem, the radius is x, so we substitute r in the formula with x.

area = πx² square units

Solve for t 16−2t=t+9+4t

Answers

Answer:

Step-by-step explanation:

16-2t=t+9+4t  

7=7t  
t=1

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ascorbic acid is a diprotic acid (Ka= 8.0x10^-5 and Ka2= 1.6x10^-12). What is the pH of a 0.260 M solution of ascorbic acid Help!! I have no clue what to do. Im struggling and stuck on this whole problem. Can you please explain how you got the answers? Thank you! What information does the Client Intake Form gather? Medications a client is taking and the associated health conditions Nutrition logs for three consecutive days Previous exercise experience, nutrition, and health conditions Demographic information like address, email, and phone number During the previous year he had introduced Kahlo to a whole new worldthe group that assembled weekly at the home of the Italian-born American photographer Tina Modotti.Modotti became Kahlos role model. She had come to Mexico a few years earlier as the protge of the famous American photographer Edward Weston. When Weston went home, Modotti stayed, photographing the peasants of Mexico and posing for Diego Rivera. . . .Modotti was unlike any woman Kahlo had ever met. Independent, daring, revolutionary, Modotti befriended the young painter and sponsored her membership in the Mexican Communist party.Which response to the excerpt is an opinion?Modotti came to Mexico from the United States.Modotti took pictures of Mexican peasants.Modotti created art through her photography.Modotti was a negative influence on Frida Kahlo. write a sentence on each of the tenses ans their subtypes Please Help Me Asap I Need Units Too An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.What is the largest possible volume of the box? Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning. Question 19 options: A) Yes, because the sum of any two side lengths is greater than the third side length. B) No, because the third side length is greater than the sum of the other two side lengths. C) Yes, because the sum of all three side lengths is greater than 20. D) No, because 4 + 8 is greater than 10. 7(x + 1) -2 =5 (x + 1) +2 What conclusion should be drawn from the graph? Trade has minimal impact on GDP. Trade increased between 1980 and 1990. Trade between nations declined between 1990 and 2000. Trade increases create higher GDP percentage rates. By what percent does the braking distance of a car decrease, when the speed of the car is reduced by 10.3 percent? Braking distance is the distance a car travels from the point when the brakes are applied to when the car comes to a complete stop. (Hint: it's not 10.3%)91.5% is incorrect. Tom changed the rotating speed of his cement mixer from 6 1/3 rpms to 10 rpms . By how many revolutions per minute did the speed of the mixer increase Write an equation for the nth term of the arithmetic sequence 8, 3, -2, -7,... Find the 9th term of the sequence. Danika is 25 years old. She smokes constantly and chews her fingernails. According to Freud's theory, Danika likely is ________ at the _____ psychosexual stage of developmen A wall of a building is 30 inches wide. 14 inches is concrete,10 inches is brick, and 6 inches is like stone. What fraction of the wall is concrete Which of these are examples of advancements made during China's many dynasties? Domestication of oxen and goats Architectural domes and columns Silk and paper making Ziggurats and pyramids Consider the polynomial function h(x)= -7x^6+3x^4-5x^2 A girl ran from her home to a store at the rate of 6 mph, and she walked back home at the rate of 4 mph. if it took 15 minutes for the round trip, how far away is the home from the store? Question 1 of 10Which number sentence below matches this word problem?Jen and Marcus got 15 miles up river before they ran out of gas. They floated9 miles back down river before they reached the shore. How far did they get?A. 1359 = 15B. 15-9=6C. 15-6=9D. 9+15=24 Crane Company took a physical inventory on December 31 and determined that goods costing $199,100 were on hand. Not included in the physical count were $24,470 of goods purchased from Pelzer Corporation, f.o.b. shipping point, and $21,670 of goods sold to Alvarez Company for $30,420, f.o.b. destination. Both the Pelzer purchase and the Alvarez sale were in transit at year-end. What amount should Crane report as its December 31 inventory