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2 years ago

Katherine earned $105.00 at her job when she worked for 7 hours. How much money did she make earn each hour?

Mathematics

1 answer:

Bond [772]2 years ago

8 0

Katherine earned $15 an hour, divide $105 by the seven hours she worked

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saw5 [17]

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

$(9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)$

First of all, let's open the parentheses to combine the like terms for simplifying.

$9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2$

Arranging the like terms, x² with x², x with x and constant terms near to each other.

$9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2$

Simplying further,

$(9 - 3) {x}^{2} - 3x + 9$

$6 {x}^{2} - 3x + 9$

So, the correct option is C

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8 0

2 years ago

A student bought 3 shirts at $12.25 each and 2 pairs of pants at $25.50 each. How much money

4vir4ik [10]

Answer: 87.75

Step-by-step explanation:

Multiply 12.25 times 3 because the student bought 3 shirts

Then multiply 25.50 times 2 because the student bought two pairs of pants

Then add up both your multiplication together and you will get 87.75

3 0

2 years ago

Find the unit rate, and then use it to solve the problem.

rusak2 [61]

Rate = 10/2 = 5 trees per hour

150trees/5 trees per hour = 30 hours

the answer is D = 30 hours

3 0

2 years ago

The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of

Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

$\cos(60 \degree) = \frac{altitude}{hypotenuse}$

$\cos(60 \degree) = \frac{altitude}{8}$

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

$\sin(60 \degree) = \frac{4 - y}{y}$

$y\sin(60 \degree) = 4 - y$

$y\sin(60 \degree) + y= 4$

$(\sin(60 \degree) + 1)y= 4$

$y= \frac{4}{\sin(60 \degree) + 1}$

$y = 16 - 8 \sqrt{3}$

y=1.857

The diameter is 2y

$d = 32 - 16 \sqrt{3}$

=2(1.875)

The length of a Diameter is 3.714

7 0

2 years ago

Read 2 more answers

in the bag, there are certain number of toy- blocks with alphabets A,B,C and D written on them. The ratio of blocks A:B:C:D is 4

Svet_ta [14]

Given, the ratio of blocks A, B, C,D are in the ratio 4:7:3:1

Let us consider the common ratio to be ‘x’.

So, toy blocks with alphabet A is 4x and

toy blocks with alphabet B is 7x and

toy blocks with alphabet C is 3x and

toy blocks with alphabet D is x

Again, the number of ‘A’ blocks is 50 more than the number of ‘C’ blocks.

As no. of ‘A’ and ‘C’ blocks are 4x and 3x respectively.

So,

4x=50 + 3x

x=50

Thus, the number of ‘B’ blocks is 7x = 7(50) = 350

350 is the required number.

7 0

2 years ago

Read 2 more answers