How can unit rates and proportional reasoning be used to solve problems?

Answer:4

Step-by-step explanation:

Answer:

10 Hours

Step-by-step explanation:

1300mi divided by 2

= 650 Miles/65mph

= 10 Hours

Answer:

We have the system:

x ≤ 7

x ≥ a

Now we want to find the possible values of a such that the system has, at least, one solution.

First, we should look at the value of a where the system has only one solution:

We can write the 2 sets as:

a ≤ x

x ≥ 7

So, writing both together:

a ≤ x ≤ 7

if a is larger than 7, we do not have solutions.

then a = 7 gives:

7 ≤ x ≤ 7

Here the only solution is 7.

Now, if a is smaller than 7, for example 5, we have:

5 ≤ x ≤ 7

Now x can take different values, so we have a lot of solutions.

Then the restrictions for a, such that the system has at least one solution, is:

a ≤ 7.

Answer:

(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)

Ok, we have a rectangle of length x by r.

At the extremes of length r, we add two semicircles.

So the perimeter will be equal to:

Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).

The radius of the semicircles is r, and the perimeter of a circle is:

C = 2*pi*r

where pi = 3.14

Then the perimeter of the track is:

P = 2*x + 2*pi*r.

b) now we want to solve this for x, this means isolating x in one side of the equation.

P - 2*pi*r = 2*x

P/2 - pi*r = x.

c) now we have:

P = 660ft

r = 50ft

then we can replace the values and find x.

x = 660ft/2 - 3.14*50ft = 173ft

Answer:

-5

Step-by-step explanation:

Answer: -5

Answer if it is multiplication: 1.5555...(If it is additon don't pay attention to this answer)

Step-by-step explanation: -9 + -5 = -14.

Answer:

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

180

What are the numerical measures of the angles?

x = 14.5

m∠DEA = 39.5°

m∠AEB =  140.5°

Step-by-step explanation:

x + 25 + 9x + 10 = 180

Subtract 35 from both sides and you get,

10x = 145

The divide both sides by 10 and you get,

x = 14.5

To get the angle measurements you plug x back into the angle equations which in this case is 14.5.

It would look like,

m∠DEA = (14.5 + 25) = 39.5

and,

m∠AEB = (9 (14.5) + 10) = 140.5

The numerical sum of ∠DEA and ∠AEB  is 180°.

Numerical value of x is 14.5°.

Measure of ∠DEA is 39.5°.

Measure of ∠AEB is 140.5°.

Given: Two lines intersect.

Points D, E and B lie on a horizontal line and point E is intersected by line AC.

∠DEA = x + 25

∠AEB = 9x + 10

Now, from the given information we can deduce that to obtain the angles ∠AED and ∠AEB, point E should lie in between points D and B.

Since, points D, E and B lie on the horizontal line, then the ∠DEA and ∠AEB should form the supplementary angles (Figure 1).

⇒ ∠DEA + ∠AEB = 180°

⇒ (x + 25) + (9x + 10) = 180°

⇒ 10x + 35° = 180°

⇒ 10x = 145°

⇒ x = 14.5°

Now, we will substitute the value of x = 14.5° in the ∠DEA and ∠AEB, hence we get:

⇒ ∠DEA = x + 25°

⇒ ∠DEA = 14.5° + 25°

⇒ ∠DEA = 39.5°

Also,

⇒ ∠AEB = 9x + 10°

⇒ ∠AEB = 9 × 14.5° + 10°

⇒ ∠AEB = 130.5° + 10°

⇒ ∠AEB = 140.5°

Therefore, the numerical sum of the degree measures of ∠DEA and ∠AEB is 180°; The numerical measures of the angles is, x = 14.5°, m∠DEA = 39.5° and m∠AEB = 140.5°.

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Answer:

- 2 8/25

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)

Answer:

-2.32 as a mixed number is -2 32/100 = -2 8/25

Answer:

15

Step-by-step explanation:

The product of the prime factors of 3375 are

3375 = 3³ × 5³, then

[tex]\sqrt[3]{3375}[/tex]

= [tex]\sqrt[3]{3^3(5^3)}[/tex]

= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]

= 3 × 5

= 15

Answer:

z=8/5

Step-by-step explanation:

2(4z-1)=3(z+2)

distribute the 2 and 3

8z-2=3z+6

move 2 to the other side by adding 2

8z=3z+8

move 3 to the other side by subtracting 3

5z=8

divide both sides by 5

z= 8/5

The equivalent value of the expression is z = 8/5 = 1.6

Given data ,

Let the equation be represented as A

Now , the value of A is

2 ( 4z - 1 ) = 3 ( z + 2 )

On simplifying the equation , we get

2 ( 4z - 1 ) = 3 ( z + 2 )

So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )

Opening the parenthesis on both sides , we get

2 ( 4z ) - 2 = 3z + 6

8z - 2 = 3z + 6

Subtracting 3z on both sides , we get

5z - 2 = 6

Adding 2 on both sides , we get

5z = 8

Divide by 5 on both sides , we get

z = 8/5

z = 1.6

Therefore , the value of z = 8/5 = 1.6

Hence , the expression is z = 8/5 = 1.6

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Answer:

x = 12

Step-by-step explanation:

From the question given above, the following data were obtained:

m < EDG = 112°

m < EDH = 6x – 9

m < HDG = 4x + 1

x =.?

Thus, we can obtain the value of x as shown below:

m < EDG = m < EDH + m < HDG

112 = 6x – 9 + 4x + 1

112 = 6x + 4x – 9 + 1

112 = 10x – 8

Collect like terms

112 + 8 = 10x

120 = 10x

Divide both side by 10

x = 120/10

x = 12

Therefore, the value of x is 12.

Answer:

6=[tex]\frac{c}{2}[/tex]+1

Step-by-step explanation:

anderson's $6 per hour is one half of carey's hourly rate, plus one.

Answer:

A)

6 = c/2 + 1

Step-by-step explanation:

edg2020

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 2) and (6, 8)

The slope is

[tex]m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ [/tex]

We have the final answer as

[tex] \frac{3}{5} \\ [/tex]

Hope this helps you

Answer:

this the answer 4.5m

Step-by-step explanation:

formula 1/2(a+b)h

9514 1404 393

Answer:

  18 square meters

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

The bases are the parallel line segments, and the height is the perpendicular distance between them.

  A = (1/2)(7 m + 5 m)(3 m) = 1/2(12 m)(3 m) = 18 m^2

The area of the trapezoid is 18 square meters.

The simplified form of the given expression is 75.

The given expression is 675 ÷ (6 + 9 ÷ 3).

We need to simplify the given expression.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction

Now, in the given expression simplify the bracket.

That is, (6 + 9 ÷ 3)=(6+3)

=9

Now, 675 ÷ 9=75

Therefore, the simplified form of the given expression is 75.

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Answer:

X = 6.

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

since you want to solve for x, you want to get it by itself

to start, you want to try to get (x+2) by itself, and you can do this by multiplying both sides by the reciprocal of 3/4

[tex](\frac{4}{3}) \frac{3}{4}(x+2) = 6 (\frac{4}{3})[/tex]

since a number multiplied by its reciprocal is equal to 1, this leaves you with

[tex](x+2) = \frac{24}{3}[/tex]

[tex](x+2) = 8[/tex]

now, you can subtract 2 from both sides in order to get x by itself

[tex](x+2)-2 = 8-2[/tex]

[tex]x = 8-2=6[/tex]

and then you have your answer

x = 6

hope this helps :)

Answer:

0.49 = [tex]\frac{49}{100}[/tex]

4.542 = 4 [tex]\frac{542}{1,000}[/tex]

Step-by-step explanation:

0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.

4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.

Hope this helps!

Answer:

w=13

Step-by-step explanation:

Answer:

w =13

Step-by-step explanation:

[tex]15+w=3w-11[/tex]

Collect like terms

[tex]15+11 =3w-w\\[/tex]

Simplify

[tex]26 = 2w[/tex]

Divide both sides of the equation by 2

[tex]\frac{26}{2} = \frac{2w}{2}[/tex]

Simplify

[tex]13 = w[/tex]

Switch sides

[tex]w =13[/tex]

Answer:

A 6.930

Step-by-step explanation:

Answer: The midpoint  is MZ midpoint = (0.5,1)

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-4+3}{2}),(\frac{-1+3}{2} )\\MP= (\frac{-1}{2}),(\frac{2}{2} ) \\\\MP= (-0.5 ,1)[/tex]

Answer:

3/12

=1/4

your answer is 1/4

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

if you're asking how long each task takes, it should take 37.5 minutes per task.

Answer: 6.3

Step-by-step explanation:

1.8 + 45 tenths equal 6.3

Answer:

No (unless it happens to have a vinculum on top of any digit image attached is an example of a vinculum)

Step-by-step explanation:

0.63 just stops at 0.63

Answer:

[tex]y=\frac{-7x}{5} -7[/tex]

Step-by-step explanation:

[tex]7x+5y=-35\\5y=-35-7x\\y=\frac{-35-7x}{5} \\y=-7-\frac{7}{5} x\\[/tex]

Answer:

-15

Step-by-step explanation:

[tex]2(4m-5)-(6m+11)=33[/tex]

[tex]8m-5-12m-22=33[/tex]

[tex]-4m-27=33[/tex]

[tex]-4m=60[/tex]        

[tex]m=-15[/tex]

Hope this helps, have a great day:)

Answer:

262.5 messages per month

Step-by-step explanation:

Cost of plan = $34.99

Cost per message = $0.16

Maximum bill = $42

Maximum # of messages = $42/$0.16 = 262.5

Answer:

lemme guess algebra test?

Step-by-step explanation: