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3 years ago

Solve for a - 8a = 24

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

8 0

Answer:

a = -3 to find this answer divide both sides by -8

Amanda [17]3 years ago

6 0

Answer:

a = -3

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other.

Divide -8 from both sides:

(-8a)/-8 = (24)/-8

a = 24/-8

a = -3

a = -3 is your answer.

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Help find the area and perimeter for these two shapes! explain your reasoning aswell

a_sh-v [17]

Answer:

1.179.17

Step-by-step explanation:

area of triangle= height*base/2=25.48

there are 4 triangles so multiply 25.48*4=101.92

Since it’s a regular octagon, all the sides are equal to = 4cm

Like shown above in the diagram, the sides of the octagon can be extended such that it forms a square.

According to Pythagorean theorem, x2 + x2 = 42; 2x2 = 16

x = √8cm

Total side length for the square= 4 + √8 + √8 = 9.657cm

Area of square= (9.657cm) 2 = 93.25cm2

Area of 4 triangles= 4 (1/2 * √8 * √8) = 16.0cm

Area of octagon, A = Area of square – Area of 4 triangles = 93.25 – 16.0 = 77.25cm2

now add 101.92+77.25=179.17

3 0

3 years ago

The sale price of the sword was $20. It had been marked down 23% for the sale. What was the original

Viefleur [7K]

Answer:

$24.60

Step-by-step explanation:

8 0

3 years ago

Abby's credit card statement shows a balance of $135.50 at the beginning of the month. During the month she makes purchases of $

REY [17]

Answer:

Step-by-step explanation:

Step one:

given data

initial balance= $135.50

1.5% interest charge=0.015 of 135.5= $2.03

purchases= $63.83

payment=$50.00

Step two:

at the beginning of the month, the balance after the %1.5 tax will be

=135.5-2.03=133.47

Also the purchase and the payment amount to 63.83+50=$113.83

the new balance after purchases and payment is

=133.47-113.83

=$19.64

3 0

3 years ago

Find the volume of the figures.A. 907.5 cmB. 126ncmC. 605 cmD. 55 cm

-BARSIC- [3]

We have the next formula to calculate the volume

$V=\frac{1}{3}\cdot a^2\cdot h$

where a is the length of the side in the base and h is the height

a=11cm

h=15cm

we substitue the values in the formula

$V=\frac{1}{3}\cdot11^2\cdot15=605\operatorname{cm}^3$

8 0

1 year ago

Answer this question.

balu736 [363]

Answer:

B) Both functions have a y-intercept of -2.

Step-by-step explanation:

Hi there!

A) Both functions are always increasing.

⇒ False

Let's first take a look at the given equation, $y=3x-2$ . This is a linear equation, and it is organized in slope-intercept form: $y=mx+b$ . m is the slope and b is the y-intercept. When m is positive, it is always increasing.

In $y=3x-2$ , 3 is m, and because it's positive, this line is always increasing on a graph.

However, when we take a look at the given graph, this isn't the case. It is decreasing for values of x below 0 (on the left side of the y-axis).

B) Both functions have a y-intercept of -2.

⇒ True

In the given equation $y=3x-2$ , this is true. -2 is the y-intercept.

On the given graph, we can see that the graph intercepts the y-axis at -2, so this is also true for the graph.

C) Both functions are symmetric about the y-axis.

⇒ False

The given graph is symmetric about the y-axis, but the line is not. Any line that would be symmetric about the y-axis would be in the form $y=b$ , which isn't the case here with $y=3x-2$ . $y=3x-2$ has a slope.

D) Both functions are linear relationships.

⇒ False

Sure, $y=3x-2$ is a linear equation, making it a line, but not the given graph. The graph does not resemble a straight line, so it is not a linear relationship.

I hope this helps!

5 0

3 years ago