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2 years ago

Martin can run 1 mile in 7 minutes. What proportions can be written from this information?

Mathematics

2 answers:

jeka57 [31]2 years ago

8 0

Answer:

$\frac{1}{7}=\frac{3}{21}$

$\frac{7}{1}=\frac{21}{3}$

Step-by-step explanation:

Verify each case

case 1) $\frac{1}{7}=\frac{3}{21}$

Multiply in cross and then compare both sides

$1*21=7*3$

$21=21$ ----> is true

therefore

Is a valid proportion

case 2) $\frac{1}{21}=\frac{3}{7}$

Multiply in cross and then compare both sides

$7*1=21*3$

$7=63$ ----> is not true

therefore

Is not a valid proportion

case 3) $\frac{7}{1}=\frac{3}{21}$

Multiply in cross and then compare both sides

$21*7=1*3$

$147=3$ ----> is not true

therefore

Is not a valid proportion

case 4) $\frac{7}{1}=\frac{21}{3}$

Multiply in cross and then compare both sides

$3*7=1*21$

$21=21$ ----> is true

therefore

Is a valid proportion

case 5) $\frac{1}{7}=\frac{21}{3}$

Multiply in cross and then compare both sides

$3*1=7*21$

$3=147$ ----> is not true

therefore

Is not a valid proportion

Lynna [10]2 years ago

5 0

Answer:

a and d

Step-by-step explanation:

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Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these

ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0

3 years ago

Read 2 more answers

An appliance company uses the function f(h) = 40h + 120 to calculate the total repair bill, f(h), for h number of hours worked.

Verdich [7]

Answer:

fh. = 40h + 120, fh. = $200

200 = 40h + 120

200 - 120 = 40h

80 = 40h

80/40 = h

2 = h

h = 2 hours.

Step-by-step explanation:

4 0

3 years ago

What is the term of a 7-term geometric series if the first term is -11 the last term is -45,056 and the common ratio is -4

shutvik [7]

I assume you mean to ask how to find the sum of the seven terms?

You have

$a_2=ra_1$
$a_3=ra_2=r^2a_1$
$a_4=ra_3=r^3a_1$
...
$a_7=ra_6=r^6a_1$

So the sum is

$a_1+ra_1+r^2a_1+\cdots+r^6a_1=a_1(1+r+r^2+\cdots+r^6)=a_1\times\dfrac{1-r^7}{1-r}$

You know that $a_1=-11$ and $r=-4$ , so the sum is equal to

$-4\times\dfrac{1-(-4)^7}{1-(-4)}=-13108$

8 0

3 years ago

Alpha bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each member of the

Gnesinka [82]

There are 24 people, there are 4 pies and they each get 1/6th, 4x6=26

The entire race was 8 hours. If 3/4th of the race was 6 hours, 6/3=2 meaning 1/4th of the race is 2 hours and the full thing being 8.

6 0

3 years ago

Find the value of the expression

Karolina [17]

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Arithmetic Operation.

====> 5(3+6) + 5*3/ 5(4-1)

=====> 5(9) + 15 / 5(3)

=====> 45+15 / 15

=====> 60/15

======> 4

answer is 4

4 0

3 years ago