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3 years ago

10

Mr. Garcia needs at least 60 paintbrushes for his art classes. He has 22 paintbrushes already and will buy more paintbrushes of

8. Which inequality can be used to find how many packages of paintbrushes, p, Mr. Garcia needs to buy in order to have at least 60 paintbrushes?

1 answer:

elena-s [515]3 years ago

4 0

Answer:

60≥22+8x

Step-by-step explanation:

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

so

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

so

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago

Identify the initial amount a and the growth or decay factor b in the exponential function. y = 0.01025^x

Nastasia [14]

Answer:

The initial amount a = 1

The growth or decay factor = 0.01025

Step-by-step explanation:

The exponential function.

y = 0.01025^x

The initial amount a = 1

The growth or decay factor = 0.01025

The exponential equation can be rewritten as Y = 1(0.01025)^x

8 0

2 years ago

To estimate the number of people in Springfield, population 10,000, who have a swimming pool in their backyard, 250 people were

Andrei [34K]

Answer:

2400 people

Step-by-step explanation:

Let x be the number of people who had a swimming pool in the population of 10,000,

Thus, the ratio of people who had swimming pool to the total population = $\frac{x}{10000}$

Since, out of 250 people 60 had swimming pool,

So, the ratio of the people who had swimming pool to the total population = $\frac{60}{250}$

$\because \frac{x}{10000}=\frac{60}{250}$

$\implies 250x=600000$

$\implies x=\frac{600000}{250}=2400$

Hence, 2400 people in the city might one expect to have a swimming pool.

First option is correct.

8 0

3 years ago

For the line above, is the slope positive or negative? *

nadya68 [22]

The slope is positive
(2)

4 0

2 years ago

Read 2 more answers

A rectangle has a length of 5 inches and a width of x inches.

Mice21 [21]

Here is your answer

Given

length of rectangle= 5 inch

its width= x inch

Perimeter= 2 (l+b)

= 2 (5+x)

= 10+2x inches

HOPE IT IS USEFUL

6 0

2 years ago