Two rectangles share a common side as shown.
Determine whether each expression can be used to determine the
total area, in square feet, of the two combined rectangles.
ft
Select Yes or No for each expression.
7.52 + 20
o Yes
Ο Νο
*
7.5 ft
x ft
27.5 + 2
Yes
Ο Νο
20 (7.5 + x)
o Yes
Ο Νο
150 + 3
Yes
Ο Νο
202 + 150
O Yes
No

Answer:

Step-by-step explanation:

You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.

__

The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...

  1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft

24 feet of baseboard are needed.

__

Additional comment

The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².

Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².

Answer:

See below.

Step-by-step explanation:

23,492,349

            /\

This is the hundreds place.

The place after it has a 4, so normally, we would round down. But, there is a 9 after the 4, so we round up the 4 to 5, and we round up again to the 3.

23,492,400

-hope it helps

Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

A proportion is a fraction of a total amount.

In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:

M = $6 x 9 = $54.

Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078

Answer:

volume = 138 cm³

Step-by-step explanation:

Equation

volume of a prism = base area × height

Given:

Substituting given values into the equation:

⇒ volume = 23 × 6

                 = 138 cm³

Answer:

Step-by-step explanation:

Answer:

Option b is the answer.

Step-by-step explanation:

As you can see in the image you have given, the x values that are less than or equal to 4.5 are the elements of the solution set.

Answer:

A'=(-3,6)

B'=(-5,5)

C'=(-4,2)

D'=(-2,2)

E'=(-1,4)

Step-by-step explanation:

Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.

Hope this helps!!!

Answer:

x=-1

Step-by-step explanation:

First we can square both sides to remove the square roots:

[tex](\sqrt{x+7})^{2} +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}[/tex]

Simplify:

[tex]x+7+x+2=6x+13[/tex]

Now we simplify further:

[tex]2x+9=6x+13[/tex]

Now we subtract 13 from both sides:

[tex]2x+9-13=6x+13-13[/tex]

Simplify:

[tex]2x-4=6x[/tex]

Subtract 2x from both sides:

[tex]2x-4-2x=6x-2x[/tex]

Simplify:

[tex]-4=4x[/tex]

Divide both sides by 4:

[tex]\frac{-4}{4} = \frac{4x}{4}[/tex]

Simplify:

-1=x

x=-1

Answer: AAS

Step-by-step explanation:

The probability that out of 20, 14 agree to answer is:

P(14) = 0.109

We know that the 80% of the respondents will agree to answer the opinion poll (and 20% don't).

Then the probability that a random respondent agrees to answer the poll is 0.8

Now, the probability that out of 20, 14 agree to answer, is:

[tex]P(14) = C(20, 14)*(0.8)^{14}*(0.2)^6[/tex]

Where C(20, 14) is the number of different combinations of 14 elements that we can make out of the 20 elements (the number of permutations).

[tex]C(20, 14) = \frac{20!}{(20 - 14)!*14!} = \frac{20*19*18*17*16*15}{6*5*4*3*2} = 38,760[/tex]

Replacing that in the probability, we get:

[tex]P(14) = 38,760*(0.8)^{14}*(0.2)^6 = 0.109[/tex]

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

As the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.

A histogram graph is a graphical representation of given data. It is a bar graph that represents a frequency distribution by rectangles separated from each other with equal spaces.

A graph shows several dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis.

here, we can see from a given data that as the number of dogs increases the frequency on the vertical axis decreases. At 0 dogs the frequency is 20, at 1 dog the frequency is 15, At 2 dogs the frequency is 12.

The histogram is skewed to the right because there is less data on the right side as the frequency decreases.

Therefore, the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.

Learn more about histograms here:

https://brainly.com/question/1230107

Answer:

d

Step-by-step explanation:

Answer: He uses two litres of water for one litre of flour.

Step-by-step explanation:

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Step-by-step explanation:

lol it’s on wassa name ;) mark me brainliest? Btw

Here you go, your equation should look a lot like this:

x²-16 -----> (x+4)(x-4).

Answer:

30 tons of concrete

There are 2000 pounds in 1 ton

So 2000 pounds * 30 tons

30 * 2000 = 60000

60,000 pounds

Answer:

Step-by-step explanation:

Exponential function has the form

Where a- initial value, b- growth rate

Find the growth rate b

The function is

Answer:

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

Step-by-step explanation:

recall exponential function:

[tex]y = a \cdot {b}^{x} [/tex]

where:

Finding the exponential function:

firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,

secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus

finally, just plug in the value of a and b into the function,

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

and we're done!

Answer:

4.04

Step-by-step explanation:

I like to turn my fractions into decimals when I do this. Volume is found by length*width*height. In this case, it would be 3.5*1.75*4.66

The volume would be about    [tex]4ft^2[/tex]

In the case of multiplication in exponents, if the numbers are the same, their exponents are added.

7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.

Answer:

(a) Kaylee earns $19.50 per hour.

(b) Kaylee earns more per hour.

Step-by-step explanation:

a)

[tex]m[/tex] = $ per hour

[tex]y = mx[/tex]

[tex](39) = m(2)[/tex]

[tex](39 = m(2)) = 19.50 = m[/tex]

b) Kaylee earns more per hour

Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.

Answer:

You need to find what X= then put the answer in the box to the left

Step-by-step explanation:

Answer:

Solution:

The length of the arc part:

365 -60/360

x2x2x15=5/6 x2x2x15=252

Two segments: 2x15 = 30

All perimeter: (252 + 30) m

{divide into two parts?

Step-by-step explanation:

Is this what you wanted?

Answer:

total - given, 360 -139 = 221

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

An equation is an expression that shows the relationship between two or more numbers and variables.

Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:

Monthly payment = $3250 / 12 = $270.83

Money owed = $3,766 - $3,250 = $516

The Castillo family made a monthly payment of $270.83 and they owed the utility company $516

Find out more on equation at: https://brainly.com/question/2972832

Answer:

The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

Function A

For every increase of 1 unit in x-values, the y-values increase by 3 units.

[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]

Function B

For every increase of 1 unit in x-values, the y-values increase by 2 units.

[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]

As 3 > 2, the rate of change of function A is greater than the rate of change of function B

Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.

We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.

Hope this helps!

Answer:

yes

Step-by-step explanation:

If the line only goes through one point once than yes. Vertical line test.

Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"

Answer:

Step-by-step explanation:

The length of LM is 24√(3)

the short leg is 24

the hypotenuse is 24*2 = 48

Step-by-step explanation:

please mark me as brainlest

[tex]===================================[/tex]

Step 1:

Use the Distributive Property:

[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]

Hence, the equation is

[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]

Move 8w to the left side

[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]

Combine Like Terms

[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]

Simplify

[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]

Move 6 and 1 to the right

[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]

[tex]\hookrightarrow\sf{-11w=-7[/tex]

Divide both sides by -11

[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]