Translate the following phrase to a mathematical expression.

a number times fifteen

(A) 15 n
(B) 15 + n
(D) 15 ÷ n
(C) n15

Answer:

one paperback = 0.6 pounds

one textbook = 3.6 pounds

Explanation:

Let the mass of one paperback be 'p' and one textbook be 't'.

Equation one:

sum of mass = total mass in box

Equation two:

make 't' subject

Insert this into equation one:

20p + 9(5.1 - 2.5p) = 44.4

20p + 45.9 - 22.5p = 44.4

20p - 22.5p = 44.4 - 45.9

-2.5p = -1.5

p = 0.6

The weight of 1 paperback is 0.6 pounds.

The weight of 1 textbook:

t = 5.1 - 2.5p

t = 5.1 - 2.5(0.6)

t = 3.6

The weight of 1 textbook is 3.6 pounds.

Answer:

2

Step-by-step explanation:

ist you have to lind the lcd of each fraction. that would be 10.

1/2x5/5=5/10 of the boys have brown eyes

1/5x2/2=2/10 of the boys have blue eyes

3/10=3/10 of the boys have hazel eyes

The question is asking to see how many more boys have brown eyes than hazel eyes.

Subtract 3/10 from 5/10

and that gives you 2/10

The answer is 1/5.

We know that half of the boys in Jason's class has brown eyes, while three-tenths of the boys in his class have hazel eyes. Therefore, if we subtract the two values, you should get your answer.

[tex]\frac{1}{2} -\frac{3}{10} =\frac{2}{10}[/tex]

1/5 is the simplified version of 2/10. Therefore, 1/5 is your answer.

Answer:

well, both numbers are odd, so their sum will be even.

2 is the smallest prime divisor.

Answer:

79.8 cm²

Explanation:

surface area of triangular prism: (a + b + c) × length + base × height

Here given:

a = 3 cm, b = 3 cm, c = 3 cm, length = 8 cm, base = 3 cm, height = 2.6 cm

Inserting the values:

(a + b + c) × length + base × height

(3 + 3 + 3) × 8 + 3 × 2.6

79.8 cm²

More on surface area of triangular prism: https://brainly.com/question/27970162

Answer:

68.42

Step-by-step explanation:

We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!

Answer:

68.42

Step-by-step explanation:

We know that when we add the lengths of all of the desks together, the total is 214.62. Based on that information, we can set up the following equation: 67.94 + 78.26 + x = 214.62. From there, all you have to do is add 67.94 + 78.26 to get 146.2. Lastly, you simply do 214.62 - 146.2 to get 68.42. Hope this helps!

Answer:

A) (x+10)(x+4) = ?

B) (x+10)(x+4) = 112, solve for x

Step-by-step explanation: you multiply the two equations to get the area.

Answer:

a)[tex](x^{2} +14x+40)ft^{2}[/tex]

b)14ft, 8ft

Step-by-step explanation:

a) Area of Rectangle = Length x Breadth

= [tex](x+10)(x+4)\\=x^{2} +4x+10x+40\\=(x^{2} +14x+40) ft^{2}[/tex]

b) Given Area of rectangle = [tex]112ft^{2}[/tex]

[tex]x^{2} +14x+40=112\\x^{2} +14x-72=0 (Quadratic Equation)\\\\[/tex]

Quadratic Equations: [tex]ax^{2} +bx+c = 0\\[/tex]

In this case, a = 1, b = 14, c = -72

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a} \\= \frac{-14+/-\sqrt{14^{2} 4(1)(-72)} }{2(1)} \\= 4 or - 18 (reject)[/tex]

We reject negative values.

so x = 4,

The length of table = (x+10) ft = 4+10 = 14ft

The breadth of the table = (x+4) ft = 4 + 4 = 8ft

Answer: Vertex : Maximum (2, 0)

Rules:

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

Answer: C

Step-by-step explanation:

A says the polygon's measurements are 283 inches by 283 inches. Is it Correct? No. If we multiply these numbers we get 80,089 inches squared, which is not equal to our actual surface of 283 inches squared.

B says the polygon's volume is 283 inches cubed, which is not correct because it says that a certain measurement of a polygon is 283 inches squared, not cubed, which means we got a surface/area, not a volume.

C says that our 283 inches squared area could fit 283 one-inch by one-inch squares, which is correct because one-inch by one-inch is an one inch squared area, if we multiply this one-inch squared by the number 283, we get 283 inch squared area.

And D couldn't be because the answer is C.

Hope I Helped!

Answer:

-3.5 < 1.5 and |-3.5| > |1.5|

Answer:

Capital Gains

Capital gain calculation in four steps

Determine your basis.

Determine your realized amount.

Subtract your basis (what you paid) from the realized amount (how much you sold it for) to determine the difference.

Review the descriptions in the section below to know which tax rate may apply to your capital gains

To calculate the taxable gain on the sale of an asset, an individual takes the difference between the original purchase price and the sale price of the investment.

Answer:

C (√34)

Step-by-step explanation:

Pythagoras' theorem states that: a² + b² = c², where c is the hypotenuse and what we are trying to figure out.

So, 3² + 5² = c²

9 + 25 = 34 = c²

c = √34

:)

Answer:

C (√34)

Step-by-step explanation:

Answer:

First for example let's say

your going to doing what you do normally for gcf but then make an l and times it if that makes sense

Step-by-step explanation:

Answer:

The zeros of a rational expression are the places where the numerator is zero:

4x = 0

x = 0

divide by 4

Answer:

refer to the above attachment !

Step-by-step explanation:

Mark as brainlest answer to This answer!

Answer:

Greater than

Step-by-step explanation:

you are adding exponent with the same denominator if its easier for you in this example you can set the denominator equal to 10.

Sum= adding

2/5 +4/5 =6/5 or 1 1/5

if you want to do it with the denominator equal to 10 just multiply each side by 2.

(2/5 +4/5)x 2

4/10 + 8/10 = 12/10