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3 years ago

What is the answer to: 2(4z-1) = 3(z+2)

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

Use cymath it gives you the answer and shows you how to do it step by step

Veseljchak [2.6K]3 years ago

3 0

8z-2=3z+6
5z=8
z= 8/5

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12. At an ice cream shop, there are two bowl choices, a cone or a cylinder. Both have the same height and the diameter of their

Iteru [2.4K]

Jus i think is cylindrical

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2 years ago

What is fixed perimeter

lesya [120]

Maximizing the Area of a rectangle. Drag the locators to vary the width of the rectangle and see the effect on its area. For a rectangle with a perimeter of 40, the height is always 20 minus the width. This allows you to reduce the formula for the area. I hope this helps you

6 0

3 years ago

phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

Answer:

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

Solution:

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago

Find the perimeter of the given triangle

trasher [3.6K]

Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that

corresponding sides of similar triangles are in same proprtion .

$\frac{AB}{DC} = \frac{BP}{CR}$

that gives

7/10 = BP/11

7*11=10BP

BP=7.7

Again using the ratio rule

$\frac{AB}{DC} = \frac{AP}{DR}$

7/10 = AP/6

42 = 10AP

AP = 4.2

Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9

Correct option is A.

8 0

3 years ago

4. What is the slope of the line that passes through the given points? (3, 2) and (5, 12)

valina [46]

Answer:5

Step-by-step explanation:

y2-y1/x2-x1

12-2/5-3

10/2

8 0

2 years ago