BC
-
Round your answer to the nearest hundredth.
B
70°
5
?
A

Answer:

4k - 8

Step-by-step explanation:

Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.

Hope this helps!

Answer:

37.5%

Step-by-step explanation:

let 15 is X % of 40,

now,

x% of 40 =15

or,X/100 ×40 =15

or,X=(15×100)/40

or,X=1500/40

orX=37.5%

Answer:

62°

Step-by-step explanation:

Angle KPO = 90°. If you add angles KPN and NPO together, you will get 90°. Set up an equation and solve for x.

2x + x - 3 = 90

3x - 3 = 90

3x - 3 + 3 = 90 + 3

3x = 93

3x/3 = 93/3

x = 31

Now solve for the measure of KPN by substituting 31 for x.

KPN = 2x

KPN = 2(31)

KPN = 62°

Answer:

D 62

Step-by-step explanation:

Good luck

Step-by-step explanation:

okay hold up a sec

Answer:

31

Step-by-step explanation:

hope this helps

Answer:

Prime numbers:

11, 61, 43, and 29.

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

For example:

13 has only two factors, itself and 1. So, it is a prime number.

4 has three factors, itself, 1, and 2. So, it is not a prime number.

Your other answers are correct.

Hope this helped!

Answer:

m=7 z=-12

Step-by-step explanation:

expand brackets:

8m+24=5m+45

Change sides:

8m-5m=45-24

3m=21

m=7

z-6    =  3

2z         4

Coss multiply:

4z-24=6z

4z-6z=24

-2z=24

Divide both sides by -2:

z=-12

Answer:

30 feet

Step-by-step explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet

Answer:

y=2x+5

Step-by-step explanation:

The slope-intercept form of a linear equation is:

y=mx+b

Where m is the slope and b is the y-intercept.

We can start by finding the slope...

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can use any two x, y pairs to solve for the slope. In this case let's use (0,5) and (2,9)...

[tex]Slope=\frac{9-5}{2-0}=\frac{4}{2}=2[/tex]

The y-intercept is where the line intersects the y-axis. This means that the x value is 0. In the table we can see when the x value is 0, the y value is 5 meaning the y-intercept is 5...

y=2x+5

Answer:

x = 2, y = -3

Step-by-step explanation:

Add them together and get

9x + 8y - 9x - 9y = -6 + 9

-y = 3

so y = -3.

Sub it into the first equation and get

9x + 8(-3) = -6

9x - 24 = -6

9x = -6 + 24 = 18

x = 18/9 = 2

Answer:

Step-by-step explanation:

Divide 5 percent by One Hundred,

5/100 = 0.05

Multiply 0.05 by 64

0.05x64= 3.2

Answer:

The constant of proportionality is [tex]k=\frac{7}{9}[/tex]

Step-by-step explanation:

Recall that the equation for direct variation is [tex]y=kx[/tex] where [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]k[/tex] is the constant of proportionality.

Here, [tex]k=\frac{7}{9}[/tex] since [tex]2(\frac{7}{9})=\frac{14}{9}=1\frac{5}{9}[/tex], [tex]3(\frac{7}{9})=\frac{21}{9}=2\frac{3}{9}[/tex], and so on.

The following statement are true about the given function

Statements i,ii, and iv

Given Data

We have the following function to analyse

y = 3x

The following statement are true/false about the given function

Learn more about variation here:

https://brainly.com/question/6499629

Answer:

I,II, and IV

Step-by-step explanation:

Answer:

2 6 12

Step-by-step explanation:

there are the only factor of 12 there

Answer:

120/97

Step-by-step explanation:

When you're turning a mixed fraction into an improper fraction, you keep the denominator (bottem number) the same, but you times the numerator (top number) by the whole number (non-fraction number/left number)

6 * 20 = 120

Therefore it should be 120/97

This can not be simplified though (if I recall)

Answer:

ready. took me 2 minutes

x=224/8

x=25+3=28

So: 28

Answer:

Their angles are equal and the sides are the same ratio

Step-by-step explanation:

Hope this helps (doesn't need much explanation)

Answer:

Option B

Step-by-step explanation:

Given the following question:

[tex]5^2\times5^4[/tex]

In order to find the answer, we simply apply the exponent rule and add the exponents.

[tex]5^2\times5^4[/tex]
[tex]2+4=6[/tex]
[tex]=5^6[/tex]

The answer is option B or "5^6."

Hope this helps.

Answer: x = -8

Step-by-step explanation:

Move all terms that don't contain x to the right side and then solve

The Length of the fence in the example doubles as the perimeter of the circular garden. Hence the largest whole number of the radius is 8 feet

Given Data

Length of Fence = 50 feet

Largest Whole number Radius = ??

In this exercise, the Length of the fence is the same as the perimeter of the circular vegetable garden.

We know that the expression for the perimeter of a circle is given as

Perimeter of Circle = 2πr

From here we can solve for the Radius r

50 = 2*3.142*r

50 = 6.284r

divide both sides by 6.284

r = 50/6.284

r = 7.956 feet

r = 8 feet

Learn more about circle here:

https://brainly.com/question/24375372

Answer:

1. This is a Quadrilateral.

(There're 4 sides)

2. This is a Pentagon.

(There're 5 sides)

The first polygon is a quadrilateral.

The second polygon is a pentagon.

Polygons are  flat or plane, two-dimensional closed shape with straight sides.

Polygons are classified base on the number of side they possess. For example polygon with 4 sides are called quadrilaterals, the ones with 8 sides are referred to as octagons.

Therefore, the  polygons above have 4 sides and 5 sides respectively.

The polygon with 4 sides is know as a quadrilateral.

The polygon with 5 sides is known as a pentagon

learn more on polygons here: https://brainly.com/question/7921826

Answer:

5 over 13

Step-by-step explanation:

adjacent over hypotenuse use trigo rules

(Toa Cah Soh)

Answer: 12/13

Step-by-step explanation:

Answer:

1¹/₈ hours

Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.

To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:

= 1¹/₂ = 3/2

= 3/2 * 3/4

= 9/8

= 1¹/₈ hours

Step-by-step explanation:

Answer:

Note: Any number or variable(unknown) raised to the index or power zero (0)* is equal to one (1)*.

3. Solution

Given: x = 2 and y = 5

-4x^-2 + 3y^0

by substituting the values of x and y,

> -4(2)^-2 + 3(5)^0

> -4/(2)^2 + 3(5)^0

> -4/4 + 3(1)*

> -1 + 3 = 2

4. Solution

Given: x = 2 and y = 5

2x^0y^-2

by substituting the values of x and y

> 2(2)^0(5)^-2

>2(2)^0×1/(5)^2

>2(1)×1/25

>2×1/25

>2/25