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3 years ago

What expression is equivalent to 24+30

Mathematics

1 answer:

worty [1.4K]3 years ago

6 0

1) 2(30x-24)
60x-48
2) 3(20x-16)
60x-48
3) 4(15x-12)
60x-48
Simplify
60x-48
12(5x-4)
Answer: 12(5x-4)

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Find the surface area of the figure below.

gayaneshka [121]

Answer:

261 cm²

Step-by-step explanation:

To find the surface area of a square pyramid, you must first recognize all of the shapes.

There are four triangles and one square.

To find the area of a square, multiply the side by itself twice.
To find the area of a triangle, multiply the base and the height, then multiply the product by 1/2.

The triangles have a base of 9 and a height of 10.

$9*10=90$

Multiply the product by 1/2.

$90*1/2 = 45$

There are four triangles.

$45*4=180$

The area of all three triangles is 180 centimeters; the area of a single triangle is 45 centimeters.

There square has sides of 9 centimeters.

$9*9=81$

The area of the square is 81 centimeters.

Lastly, we add the areas of the shapes.

$45+45+45+45+81 = 261.$

Therefore, the surface area of this square prism is 261 cm².

You can use this layout to find the surface area of a square pyramid.

6 0

2 years ago

Using coupons, you spend $135 grocery shopping. this is 75% of the total retail price of the groceries. how much would you have

Usimov [2.4K]

Let x be the total price. And you paid 75% of it which is $135.

x * 75/100 = 135
x = 180
You would have paid $180 if you had not used coupons.

4 0

2 years ago

Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

2 years ago

Read 2 more answers

What is the answer for 4x + 2y = 12

sesenic [268]

Answer:

(1,4), (2,2) (3,0)

Step-by-step explanation:

adjust the equation so that the y is isolated so subtract 4 x

2y=4x +12

Every number is divisible by 2 so you can further isolate the y

y=-2x+6

Plug your x coordinates into the equation so get the y coordinates

6 0

3 years ago

Read 2 more answers

9th grade math please help

Leni [432]

Answer:

Only:

B. x=7

D. x=0

Step-by-step explanation:

Substitute the answers in the formula and only 7 and 0 will work.

6 0

2 years ago