PLZ HELP LAST QUESTION

3/4(x+5 1/2) = 5/8 Distributive Property Brainly

Talja [164]

Answer:

x = - $\frac{14}{3}$

Step-by-step explanation:

Given

$\frac{3}{4}$ (x + 5 $\frac{1}{2}$ ) = $\frac{5}{8}$

Multiply both sides by 8 to clear the fractions

6(x + 5 $\frac{1}{2}$ ) = 5 ← distribute parenthesis on left side

6x + 33 = 5 ( subtract 33 from both sides )

6x = - 28 ( divide both sides by 6 )

x = $\frac{-28}{6}$ = - $\frac{14}{3}$

3 0

3 years ago

What function equation is represented by the graph?

larisa [96]

Answer:

f(x)=1/4x-3

Step-by-step explanation:

y=mx+b

y-intercept is -3

-3=b

rise over round to find the slope

up 1 over 4

m=1/4

5 0

3 years ago

Two girls scout troops are completing a wilderness campout. Use the information to answer the questions. The Blue Tripp hikes 2/

Nikitich [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Blue tripp:

Hikes 2/3 miles every 1/2 hour

Yellow troop:

Hikes 3/4 miles every 1/3 hour

How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

To hike 1 1/2 miles

Blue troop:

2/3 miles = 1/2 hours

3/2 miles = x

2/3x = 3/4

x = 3/4 * 3/2

x = 9/8 = 1 1/8 hours

Yellow troop:

3/4 = 1/3 hours

3/2 = x

3/4x = 3/6

x = 3/6 * 4/3

x = 12/18 = 2/3 hours

To hike 1/2 mile :

Blue troop:

2/3 miles = 1/2 hours

1/2 miles = x

2/3x = 1/4

x = 1/4 * 3/2

x = 3/8 hours

Yellow troop:

3/4 = 1/3 hours

1/2 = x

3/4x = 1/6

x = 1/6 * 4/3

x = 4/18 = 2/9 hours

To hike 3/4 miles :

Blue troop:

2/3 miles = 1/2 hours

3/4 miles = x

2/3x = 3/8

x = 3/8 * 3/2

x = 9/16 hours

Yellow troop:

3/4 = 1/3 hours

3/4 = x

3/4x = 3/12

x = 1/4 * 4/3

x = 4/12

x = 1/3 hours

4 0

3 years ago

The diameter of a planet is about 1420 mi. Find the volume of the planet. Round to the nearest thousand cubic miles. Use 3.14 fo

Ainat [17]

Answer:

1,498,454,000 sq. miles

Step-by-step explanation:

Volume of a sphere = 4/3 (3.14) r^3

So since the diameter is 1420 miles, the radius would be half.

V = 4/3 x (3.14) x 710^3

V=4.18666667 x 357,911,000

V = 1,498,454,054.5 but if you want it rounded to the nearest thousand then it'd be 1,498,454,000.

8 0

3 years ago

Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The sta

Nonamiya [84]

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of $\overline{x} = 146$ .

Population standard deviation of $\sigma = 12$ .

Sample size of $n = 65$ .

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

$\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143$

$\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149$

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at brainly.com/question/16807970

8 0

2 years ago