Answers
Step-by-step explanation:
See the attached for the proof
Related Questions
The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
meter. (V = 53)
** Round to one decimal place.
Answers
The length of an edge is the cubic root of the volume.
Cubic root 1.8 = 1.2 meters
There are 7 trucks for every 5 cars . If there are 21 trucks, how many cars are there?
Answers
Answer:
15 cars
Step-by-step explanation:
If there are 7 trucks for every 5 cars, the ratio is 7:5. So if there are 21 trucks, that's 7 x 3, which means we also multiply 5 by 3 = 15
describe and correct the error in writing an equation of the line with a slope of 2 and a y intercept of 7
Answers
Answer:
An equation of the line with a slope of 2 and a is inercept of 7
Step-by-step explanation:
I think this is what you are saying?
3 4/5 • 3 1/2 divide reduce to the lowest term
Answers
Answer:
133/10
Step-by-step explanation:
first turn into proper fraction
19/5 * 7/2 = 133/10
David canoes 20km downstream in 2.5 hours his return trip takes 4 hours find the rate of his current. A 1.5 km/h B 1 km/h C 0.5 km/h D 2.5 km/h
Answers
Answer:
1.5 km/hour
Step-by-step explanation:
d is the David's speed in still water
c is the speed of the current
Going with the current, he travels d+c km per hour.
Going against the current, he travels d-c km per hour.
d+c = (20 km)/(2.5 hours) = 8 km/hour
d-c = (20 km)/(4 hours) = 5 km/hour
Add the equations to eliminate the c terms
d+c = 8
d-c = 5
----------
2d = 13
d = 6.5 km/hour
c = 8-d = 1.5 km/hour
را آزرا
What is the value of x in the proportion?
Answers
Answer:
Step-by-step explanation:
Cross multiply on both sides
= (x + 1) (21) = 15(x + 3)
= 21x + 21 = 15x + 45
Bringing like terms on one side
21x - 15x = 45 - 21
= 6x = 24
x = 24/6 = 4
Option A is the correct answer
[tex] =\tt (a) \: 4[/tex]
Steps to derive correct option :[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]
[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]
[tex] = 21x + 21 = 15x + 45[/tex]
[tex] = 21x + 21 - 15x = 45[/tex]
[tex] = 6x + 21 = 45[/tex]
[tex] = 6x = 45 - 21[/tex]
[tex] = 6x = 24[/tex]
[tex] = x = \frac{24}{6} [/tex]
[tex] =\color{plum} \bold{x = 4}[/tex]
Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :
[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]
[tex] = \frac{5}{7} = \frac{15}{21} [/tex]
[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]
[tex] = \frac{5}{7} = \frac{5}{7} [/tex]
Therefore, the value of x in this proportion = 4
Money is borrowed at 10% simple interest. After one year, $597.30 pays off the loan. How much was originally borrowed?
Answers
Answer:
$543
Step-by-step explanation:
597.3/1.10 =543
543*.10 = 54.3
597.3-54.3 = 543
graph y < X- 2, Y > -4X-1
Answers
Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)
6x + 7
Answers
a ship sails 400km in 18hours.how many days will it take to cover 1600km at the same rate?
Answers
Answer:
72 hours
Step-by-step explanation:
1600/400=4
so 4 x 18= 72 hours
1600km=xhrs
4xkmhrs = 288kmhrs
xhrs = 288kmhrs/4km
xhrs = 72 hours
On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school
Answers
Answer:
35.2 ft
Step-by-step explanation:
Multiply the scale factor and the height.
You need to multiplying the scale factor and the height
10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6
Answers
Answer:
it's times 4 every time
Step-by-step explanation:
4.5 times 4 is 18 etc
Can someone help!!!!
Answers
Answer:
12.7=x
Step-by-step explanation:
y=mx+b
10=.65x+1.75
-1.75 -1.75
8.25=.65x
.65 .65
12.69=x round up
12.7=x
Is 15 ft 20 ft 24 ft a right triangle
Answers
Answer:
No
Step-by-step explanation:
If:
a=15
b=20 then
c (hypotenuse)=25
Answer:
No
Step-by-step explanation:
A right angle is always 90°
u add up all the sides, if it doesn't equal 90 then it's not a right triangle.
so 15 + 20 + 24 = 59 so this is not a right triangle.
Find the missing value in the ratio table.. Please help me
Answers
Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?
A. 2 1/2 inches
B. 4 1/4 inches
C. 7 3/4 inches
D. 8 1/2 inches
Answers
Answer:
B 4 1/4
Step-by-step explanation:
Answer:
Its B. 4 1/4
Step-by-step explanation:
How it helps!
7/8 divided by 1/16 in simplest form?
Answers
Answer:
14
Step-by-step explanation:
Keep, change, flip!
7/8 / 1/16
7/8 x 1/16
7/8 x 16/1
Equals...
112/8
Which can be simplified to...
14!
Hope this helped!
Answer:
14
Step-by-step explanation:
(7/8)/(1/16) = 7/8 × 16/1
7 × 16/8 = 7 × 2 = 14
Select the correct symbol
Answers
Answer:
The answer is <
I need help... plssss :))
Answers
Answer:
(1, -1), (1, -2), (2, -3), (2, -4)
NO
Step-by-step explanation:
✔️Each ordered pair is written as (input, output).
Thus, we would have the following:
(1, -1), (1, -2), (2, -3), (2, -4)
✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.
So, the answer is NO. It is not a function.
Evaluate.
1 to the power of 3
Answers
Answer:
3
Step-by-step explanation:
ndnsjsjwnanaksodbsjcif
(2) Janie has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number of grapes. Mark all that apply. A) 8 to 5 B) 8:13 C) 8/13
Answers
Answer:
B
Step-by-step explanation:
Both B and C are right btw. Ratios can be both fractions and in the (x:Y) format.
8 red grapes to 13 total grapes=
8:13 or 8/13
Stella is saving money for a P750
.00 schoolbag. if she saved 25% of the money she needed,how many money did she save?
Answers
Answer:
Stella saved $187.5
Step-by-step explanation:
She needs $750.00 to buy the schoolbag.
She has saved 25% of the money she needs. So
0.25*750 = $187.5
Stella saved $187.5
Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall.
Write and evaluate an expression to find how many balloons Sarah has left.
Answers
Answer:
(8 × 20) ÷ 4
40
Step-by-step explanation:
8 × 20 = 160
160/4 = 40
The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.
What is a Fraction?A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.
The total number of packages = 8
Number of balloons in each package = 20.
The portion of balloons use to decorate hall = 1/4.
Suppose the remaining balloons are x.
Thus the expression for remaining balloons can be written as,
x = 20 × 8 - 1/4×(20 × 8)
x = 160 - 40
= 120.
Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).
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Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x
Answers
Answer:
x² + x + 1 and remainder 2Step-by-step explanation:
Given
(x³ + 1) ÷ (x - 1)Without using a synthetic division, we can use easier method to find the quotient.
We know the formula:
x³ - 1 = (x - 1)(x² + x + 1)Rewrite the given as:
x³ + 1 = x³ - 1 + 2 = (x - 1)(x² + x + 1) + 2This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2
The quotient of the equation is A = x³ + x + 1 + ( 2/x + 1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first equation be p = x³ + 1
Let the second equation be q = x - 1
A = p / q
On simplifying , we get
A = x³ + 1 / ( x - 1 )
On dividing , we get the quotient as
A = x² + ( x² + 1 ) / ( x - 1 )
A = x³ + x + 1 + ( 2/x + 1 )
Hence , the quotient is A = x³ + x + 1 + ( 2/x + 1 )
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80.6 divided by 6 please answer
Answers
Answer:
13.433333333
Step-by-step explanation:
when do you go to soccer 4:00 A.M. or 4:00 P.M.
Answers
Answer:
4:00 pm for me because its right after school
Step-by-step explanation:
HURRY i have 42:12 min left
Point A is located in which quadrant?
Quadrant l
Quadrant ll
Quadrant lll
Quadrant lV
Answers
Answer:
point a is located Quadrant11
Step-by-step explanation:
Answer:
Need picture to give correct quadrant
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope
intercept form
Answers
Answer:
y=x+2.
Step-by-step explanation:
1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:
[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]
2. if to evaluate the equation, then
x+3=y+1; ⇔ y=x+2 (slope-interseption form).
A scientist digs near an ancient city.
She finds a cup buried at -7 feet. She finds a plate buried at -4 feet.
Use absolute value to show which was buried farther from the surface.
A. The cup is farther from the surface, because |-7 is less than 1-4).
B. The cup is farther from the surface, because |-71 is greater than |-
4.
C. The plate is farther from the surface, because (-71 is greater than
1-41.
D. The plate is farther from the surface, because -7 is greater than -
4.
My
Answers
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Useless people all races ages 8-30 go do something with your life and do something that is worth of memory before its all gone the after life is a very nice place to go to but if you guys keep acting so foolish you will have to go to hell unless you want to replenish those sins and bad things you have done even if god does not exist a bad and good place will.
Answers
Answer:
i agree 100%
Step-by-step explanation: