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4 years ago

The equation y = 7x represents a proportional relationship. What is the constant of proportionality?

Mathematics

1 answer:

Assoli18 [71]4 years ago

3 0

Answer: c. 7

Step-by-step explanation: it’s 7. I got that answer

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There are 364 first-grade students in Park Elementary School. If there are 26 more girls than boys, how many girls are there?

wlad13 [49]

Answer:

195

Step-by-step explanation:

If there are x boys, then there are x+26 girls. Hence, we write the equation,

x+(x+26)=364

Solve for x:

2x+26=364

2x-338

x=169

So there are 169+26 =195 girls

5 0

3 years ago

A 7m wide path is to be constructed all around and outside a circular park of diameter

Assoli18 [71]

Answer:

392m^2

Step-by-step explanation:

as the length = diameter of the circular park

then

Area = length * width = 56 * 7 = 392m^2

8 0

3 years ago

Read 2 more answers

Simply the following 2m⁵×5m³×7m²

Ganezh [65]

Answer:

$2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}$

Step-by-step explanation:

Simplify the expression

$2m^5\cdot 5m^3\cdot 7m^2$

Calculate the product of the coefficients:

2*5*7=70

Compute the product of the variables. Since they are all the same letter, sum their exponents:

$m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}$

Combine the results:

$\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}$

3 0

3 years ago

How do I find the values of these

skad [1K]

Since the triangles are similar, then 32 = x+7 those two angles are too
solve for "x"

now using proportions $\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{JK}{18}=\cfrac{12}{12+10}$

solve for JK

$\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{12}{12+10}=\cfrac{9}{9+KG}\implies 12(9+KG)=(22)9
\\\\\\
108+9KG=198$

solve for KG

the scale factor of the perimeter of both triangles is just the same as the ratio of the sides, or $\bf \cfrac{12}{12+10}$

3 0

3 years ago

Find the length of the third side. If necessary, write in simplest radical form. 9 5

tigry1 [53]

Step-by-step explanation:

$(9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4$

7 0

3 years ago