Use the distributive property to write and equivalent experssion to 5 (y-8) pls help

when the whole is the same,how many eights does it take to make 1 fourth? draw a model to support your answer

cricket20 [7]

2/8. 2/8 can be simplified to 1/4 if you divide by 2 in both the numerator and the denominator. Draw two pies. Make one pie cut into 8 even pieces and one cut into 4. Shade in two of the slices on the pie with 8 pieces (side by side) and shade in one on the pie that's cut into four slices (in the same spot as on the other pie). You should see how you shaded the same total area of each pie.

3 0

3 years ago

The ratio of the girls to boys in the school

Alisiya [41]

B.40
Because 32/8=4. So you have to multiply 10x4 to get 40 girls

6 0

3 years ago

Read 2 more answers

Write the following inequality in slope-intercept form: 4x – 2y < 10

Aleks04 [339]

Answer:

y>2x-5

Step-by-step explanation:

-2y+4x<10

-2y<10-4x

divide by -2 to isolate the y

y>-5+2x

Since we are dividing by a negative the sign flips.

Our final answer is y>2x-5

5 0

3 years ago

Please check for me and if any are incorrect please explain!

Anika [276]

Answer: (1) 14.4% (2) 3.78% (3) $222.48 (4) 21,176.47

(5) $425 (6) 14.3 cents per mile

Step-by-step explanation:

1) This is a calculator question. I = 0.144 --> 14.4%

$A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\bullet \text{A = Accrued amount (total amount paid)}\\\bullet \text{P = Principal (initial cost of the car)}\\\bullet \text{r = rate (interest rate in decimal form)}\\\bullet \text{n = number of times in a year (number of months)}\\\bullet \text{t = number of years}\\\\A = m \times nt\\\bullet \text{m = monthly payment amount}\\\bullet \text{nt = number of payments made}\\\implies m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

2) m = 93.33

nt = 36

P = 3000

n = 12

$m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\\93.33\times 36=3000\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\3359.88=3000\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\1.11996=\bigg(1+\dfrac{r}{12}\bigg)^{36}\\\\\\1.00315198=1+\dfrac{r}{12}\\\\\\0.00315198=\dfrac{r}{12}\\\\\\0.0378=r\\\\\\\large\boxed{3.78\%}=r$

3) same equation as #2 but deduct the down payment from the Principal

nt = 42

P - d = 5,555 - 555 = 5,000

r = 18% --> 0.18

n = 12

$m\times nt=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\\m\times 42=(5,555-555)\bigg(1+\dfrac{.18}{12}\bigg)^{42}\\\\\\42m=5000(1.015)^{42}\\\\\\42m=5000(1.868847)\\\\\\42m=9344.23557\\\\\\m=\large\boxed{222.48}$

4) Gas + Oil = cost per mile × number of miles

1000 + 800 = 0.085x

1800 = 0.085x

$\large\boxed{21,176.47}=x$

5) $\text{Annual Depreciation}=\dfrac{\text{Cost of car - Trade-in value}}{\text{Years driven}}$

$.\qquad =\dfrac{3800-1250}{6}\\\\\\.\qquad =\dfrac{2550}{6}\\\\\\.\qquad = \large\boxed{425}$

6) $\dfrac{\text{(Cost of car - Market value) + Gas & Oil + Parts, Maintenance + Insurance}}{\text{Miles driven}}$

$=\dfrac{(5000-3800)+750+250+300}{17,500}\\\\\\=\dfrac{2500}{17,500}\\\\\\=0.142857\\\\=\large\boxed{14.3\ cents\ per\ mile}$

4 0

3 years ago

Which points are the solutions to y<0.5+2?

Ilia_Sergeevich [38]

Answer:

all the points below this line towards (0, 0) on the whole plain will work

Step-by-step explanation:

This line passes through (0, 2) and (-4, 0) which puts it in the fourth quadrant

y < 0.5x + 2 i.e. 0 < 2 which is true

all the points below this line towards (0, 0) on the whole plain will work

5 0

3 years ago