All categories

3 years ago

What is the answer of 9-2x= -23

1 answer:

8 0

X=7
Step 1: add nine to both sides it becomes
-2x=-23+9 —> -2x=-14
Step 2: divide by -2 on both sides it becomes
X=-14/-2 —> x=7

You might be interested in

The formula of the volume of a pyramid is 1/3BH, where B represents the area of the base of the pyramid and H represents the hei

zysi [14]

Answer:

It depends on the relation between the heights of both pyramids

Step-by-step explanation:

We know the volume of a pyramid of base b and height h is

$V=\frac{1}{3}bh$

If the volume of the pyramid A is 3 times the volume of the pyramid B, then

$\frac{1}{3}b_ah_a=3*\frac{1}{3}b_bh_b=b_bh_b$

Which means

$b_ah_a=3*b_bh_b$

If we knew both heights are the same, we could conclude that

$b_a=3*b_b$

In which case the base of the pyramid A would be greater than the other base

But if, for example, the height of the pyramid A is 3 times the height of the other height, then

$3*b_a=3*b_b=>b_a=b_b$

Both bases would be the same.

If we choose that

$h_a >3*h_b$

it would mean

$b_a$

In which case the base of the pyramid A would be less than the other base

So the answer entirely depends on the relation between the heights of both pyramids

3 0

2 years ago

1. A supermarket display consists of boxes of soda. The bottom row has 38 boxes. Each row has four fewer boxes than the row belo

Andreas93 [3]

Answer:

10 boxes in the top row.

192 boxes in entire display.

Step-by-step explanation:

Let n be the number of rows.

Given:

Total number of rows = 8

Boxes in bottom row = 38

And each row has four fewer boxes than the row below it.

Solution:

Part A:

We know that the bottom row has 38 boxes and each row has four fewer boxes than the row below it.

Using below function for determining the number of boxes in each rows.

$f(n)=38-(8-n)4$

Where:

n = Number of row.

We need to find the boxes in the first row.

So, substitute n = 1 in above function.

$f(1)=38-(8-1)4$

$f(1)=38-7\times 4$

$f(1)=38-28$

$f(1)=10$

Therefore, 10 boxes in the top row.

Part B:

Total boxes in the entire display.

Using formula as given below to determine the sum of the boxes in entire display.

$S_{n} = \frac{n}{2}(f(1)+f(n))$

Substitute n = 8, f(1) = 10 and f(8) = 38 in the above equation.

$S_{8} = \frac{8}{2}(10+38)$

$S_{8} = 4(48)$

$S_{8} = 4\times 48$

$S_{8} = 192\ boxes$

Therefore, 192 boxes in the entire display.

5 0

2 years ago

Find a polynomial f(x) of degree 5 that has the following zeros.

lara [203]

Answer:

Step-by-step explanation:

F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)

4 0

2 years ago

(8.6x107)-(9.1x10-8)simplify

natima [27]

Answer:

85,999,999.999 999 909

Step-by-step explanation:

The expression represents the difference of a relatively large number and one that is relatively small. That difference is approximately the value of the large number. The exact value requires 17 digits for its proper expression. Most calculators and spreadsheets cannot display this many digits.

<h3>Standard form</h3>

The numbers in standard form are ...

86,000,000 = 8.6×10^7

0.000000091 = 9.1×10^-8

<h3>Difference</h3>

Their difference is ...

86,000,000 -0.000000091 = 85,999,999.999 999 909

In scientific notation, this is ...

8.599 999 999 999 990 9×10^7

4 0

1 year ago

A cable repair person has 7.9 meters of wire. Suppose each meter of the wire weighs 3.2 ounces. Find the weight of the wire.

Maslowich

3.2 x 7.9 = 25.28
Hope this helps:D

8 0

2 years ago