Answer key for middle school math with pizzazz! book d d-47

A baker needs 4 3⁄4 cups of flour. if she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have

notsponge [240]

3 scoops and a quarter? not really sure if you were saying one and a half cups or if the Baker was using ONE half cup scoop

1 1/2+1 1/2+1 1/2+ 1/4 =4.75

7 0

3 years ago

Can someone please explain what I have to do

Pepsi [2]

Answer:

16.7 cm

Step-by-step explanation:

Area of a triangle = ½*base*height

Area of the shaded region = area of triangle = 100.2 cm³

base = w

height = 12 cm

Plug in the value into the equation:

½*w*12 = 100.2

6w = 100.2

w = 100.2/6

w = 16.7 cm

4 0

3 years ago

A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

$\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}$

We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

According to the question,

$\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}$

Taking LCM and 6 common

$6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}$

Take 6 to another side,

$\frac{9}{9x-x^2}=\frac{8}{3\times 6}$

Cross multiply,

$9\times 18=8\times(9x-x^2)$

$162=72x-8x^2$

Taking 4 common and cancel out

$4x^2-36x+81=0$

Solve quadratic equation by middle term split,

$4x^2-18x-18x+81=0$

$2x(2x-9)-9(2x-9)=0$

$(2x-9)(2x-9)=0$

$\Rightarrow 2x-9=0$

$\Rightarrow x=\frac{9}{2}=4.5$

Therefore, The speed of the river's current is 4.5 km/hr.

6 0

3 years ago

2/3x=10 help please and explain

stira [4]

Solutions

Simplify 2/3x to 2x/3

2x/3=10

2) Multiply both sides by 3

2x=10×3

3) Simplify 10×3 to 30

2x=30

4) Divide both sides by 2

x=30 ÷ 2

5) Simplify 30 ÷ 2 to 15

x=15

Answer = 15

Also can be written as 1/15

3 0

3 years ago

Read 2 more answers

DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of

gtnhenbr [62]

Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

5 0

3 years ago