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Mekhanik [1.2K]

3 years ago

13

In a class of 40 students, 75% returned their permission slips for the school field trip. HowIn a class of 40 students, 75% retu

rned their permission slips for the school field trip. How many students returned their permission slips

1 answer:

Semmy [17]3 years ago

6 0

Answer:

30 students

Step-by-step explanation:

Given

$Students = 40$

$\% = 75\%$ ---- percentage of those that returned their slips

Required

Determine the number of those that returned their slips

Represent the number with n

To calculate n, we simply multiply the number of students by the percentage of those that returned their slips

i.e.

$n = 40 * 75\%$

Convert % to decimal

$n = 40 * 0.75$

$n = 30$

<em>Hence, 30 students returned their slips</em>

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Work out the size of the angle marked t

tiny-mole [99]

Answer:

<h2>35°</h2>

Step-by-step explanation:

This is an isoceles triangle

And as we all know an isoceles triangle has two equal base angles.

And we also know that the sum of all interior angles of the triangle is 180°

So based on this we can form an algebraic equation of solve for angke t (Let's do it :))

$110 + 2t = 180 \\ 2t = 180 - 110 \\ 2t = 70 \\ t = \frac{70}{2} \\ t = 35$

So the base angle is 35°

3 0

3 years ago

Read 2 more answers

The zeros of a parabola are 6 and −5. If (-1, 3) is a point on the graph, which equation can be solved to find the value of a in

svp [43]

For roots, r1 and r2 the factors are
(x-r1)(x-r2)
roots are 6 and -5
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and a point is (-1,3)
(x,y)
y=a(x-6)(x+5)
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B is the answer

3 0

4 years ago

Read 2 more answers

I’m confused on this answer anyone know it?

slamgirl [31]

Answer:

$y=\frac{26}{7},\:x=-\frac{15}{7}$

Step-by-step explanation:

$\begin{bmatrix}4x+5y=10\\ -2x+y=8\end{bmatrix}\\\\\begin{bmatrix}-2\cdot \frac{10-5y}{4}+y=8\end{bmatrix}\\\\$

$-5+\frac{7y}{2}=8\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\-5\cdot \:2+\frac{7y}{2}\cdot \:2=8\cdot \:2\\-10+7y=16\\y=\frac{26}{7}\\$

$\mathrm{For\:}x=\frac{10-5y}{4}\\\mathrm{Subsititute\:}y=\frac{26}{7}\\x=\frac{10-5\cdot \frac{26}{7}}{4}\\\\$

$x=-\frac{15}{7}\\$

7 0

3 years ago

If the equation of a line containing the midsegment of a triangle is y = -1/4x -11, what is the slope of the triangle side that

antiseptic1488 [7]

Answer:2.75

Step-by-step explanation:

-.25×-11=2.75

6 0

3 years ago

The graph of a function g is shown below.

AveGali [126]

Answer:

$g^{-1}(x)=2.5x+5$

Step-by-step explanation:

step 1

Find the equation of the function g(x)

Let

A(0,-2) and B(5,0)

Find the slope m

$m=(0+2)/(5-0)\\m=2/5$

Find the equation of the line into slope intercept form

$g(x)=mx+b$

we have

$m=2/5\\b=-2$

substitute

$g(x)=(2/5)x-2$

step 2

Find the inverse of g(x)

Let

y=g(x)

$y=(2/5)x-2$

Exchange the variables, x for y and y for x

$x=(2/5)y-2$

Isolate the variable y

Multiply by 5 both sides to remove the fraction

$5x=2y-10$

$2y=5x+10$

$y=2.5x+5$

Let

$g^{-1}(x)=y$

so

$g^{-1}(x)=2.5x+5$

6 0

4 years ago