There are 24 kids in Hillary’s fourth grade class. 3/4 of the class is male. How many girls are there in Hillary’s class?

The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.

nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches .... correct

when h = -6inches

A = 18 * -6 ≠ 216 square inches

So height is 12 inches

5 0

4 years ago

Find the slope of the line passing through the points (8,-3) and (4,-1)

docker41 [41]

$\rm \to m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$\\ \\$

$\rm \to m = \dfrac{ - 1 - 3}{4 - 8}$

$\\ \\$

$\rm \to m = \dfrac{ - 4}{4 - 8}$

$\\ \\$

$\rm \to m = \dfrac{ - 4}{ - 4}$

$\\ \\$

$\rm \to m = \cancel \dfrac{ - 4}{ - 4}$

$\\ \\$

$\rm \to m = 1$

7 0

3 years ago

Read 2 more answers

Pls help me!

Marianna [84]

Answer:

500-25x ≥ 200 (inequality is ≥)

Step-by-step explanation:

500 to start

-25 per week (or x)

wants at least (≥) 200

meaning greater than or equal to 200

3 0

3 years ago

What is the value of log 7 343?–3 -1/3 1/3 3

xeze [42]

Answer: 3

Step-by-step explanation:

Given :

$Log_{7}$ 343

We need to write 343 in index form of 7.

343 is the same as $7^{3}$ , replacing 343 with $7^{3}$ , we have

$Log_{7}$ $7^{3}$

Recall one on the law of Logarithm :

$Log_{a}$ $b^{c}$ can be written as c $Log_{a}$ b

So, $Log_{7}$ $7^{3}$ can be written as ;

3 $Log_{7}$ 7

Also from the laws of Logarithms , $Log_{a}$ a = 1

so , Log_{7}[/tex] 7 = 1

The solution then becomes

3 x 1 = 3

Therefore :

$Log_{7}$ 343 = 3

8 0

3 years ago

A science class has 3 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. the teacher randomly sele

brilliants [131]

In the science class,
there are 3 girls and 1 boy (grade 7)
and 5 girls and 5 boys (grade 8)
There is a total of 14 pupils being 8 girls and 6 boys
The probability of choosing a boy will be $\frac{6}{14}$
Which can be simplified into $\frac{3}{7}$ by dividing 2 from the numerator as well as the denominator.

8 0

3 years ago