Finding the value of x
Use the given diagram to help answer the question.
Sam found a tent in his garage, and he needs to find
the center height. The sides are both 5 feet long, and
the bottom is 6 feet wide. What is the center height of
Sam's tent, to the nearest tenth?
X 3 feet
O
4 feet
5 feet
5 feet
5.5 feet
7.8 feet
6 feet
Intro
V Done​

Answer:

  see below

Step-by-step explanation:

Use the distributive property:

  (y^2 +3y +7)(8y^2 +y +1)

  = y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)

  = 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7

  = 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7

  = 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice

Answer:

Step-by-step explanation:

8.40 ×10°

Answer:

eight and four tenths

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

A system of equations is written to represent this scenario, where s represents the number of sweatshirts ordered and t represents the number of t-shirts ordered.

s + t = 934

8s + 5t = 5,933

The solution to the system is (421, 513).

So, The number of sweatshirts = 421

And the number of t-shirts = 513

Because 8 * 421 + 5 * 513 = $5,933

We will check the options:

A. The store ordered 513 sweatshirts and 421 t-shirts.  ⇒Wrong

B. The store ordered 421 sweatshirts and 513 t-shirts.  ⇒True

C. The store spent $513.00 on sweatshirts and $421.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

D. The store spent $421.00 on sweatshirts and $513.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

So, the answer is option B.

Answer:

20%

Step-by-step explanation:

If 10 goes to 12, that means there was an increase of 2. 2/10 is, in decimal form, 0.2. To change a decimal into a percentage, you multiply it by 100, giving you 20.

Answer:

yes (if no payments are made)

Step-by-step explanation:

If you have no new charges and you make no payments, you will incur interest costs every month.

Hence yes, you balance will increase by amount of interest owed.

Answer:

192

Step-by-step explanation:

You can form a rectangle from sides 15 and 3, another rectangle with dimensions 10 and 9, another rectangle with dimensions 6 and 5, and a triangle with sides 9 and 6 (all formed by extending lines inside the figure, don't want to go into detail). Add all the areas and the answer would be 192:

15*3 =45

10*9=90

6*5=30

0.5*9*6=27;

45 + 90 +30 + 27 = 192 units squared

Answer:

y= 12x-16

Step-by-step explanation:

Given that you have a slope of 12 and a point of (3, 20), you are most obligated to using the Slope-Intercept form, or y=mx+b.

What this allows you to find is the y-intercept if your line has one. You take your point, (3,20), and you insert the values at the appropriate places. You should now have 20=12(3)+b. You will then solve for b by multiplying 12 and 3 to get 36 and subtract that from both sides of the equal sign. You should have 20-36=b. 20-36 is -16, which is your y-intercept.

Now you know all your needed values, you would write the Slope-Intercept form without the values for y and x, to represent your equation.

Since 12 is your slope, it will be 'm' and -16 will be 'b'.

You will end with y = 12x - 16.

Given:

Line passing through,

Slope,

The equation will be:

→ [tex]y - y_1 = m(x-x_1)[/tex]

By substituting the values,

→ [tex]y-20=12(x-3)[/tex]

→ [tex]y-20=12x-36[/tex]

          [tex]y = 12x-16[/tex]

Thus the above answer is right.

Learn more about intercept here:

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Answer:

[tex]\angle ACD = 130 ^\circ[/tex].

Step-by-step explanation:

[tex]\angle ABC[/tex] and [tex]\angle EBC[/tex] are supplementary angles. Their sum should be [tex]180^\circ[/tex].  [tex]\angle EBC = 120^\circ[/tex] [tex]\implies \angle ABC = 180^\circ - \angle EBC = 180^\circ - 120^\circ = 60^\circ[/tex].

The sum of the three angles in triangle [tex]\triangle ABC[/tex]: [tex](\angle ABC + \angle BAC + \angle ACB)[/tex] should be equal to [tex]180^\circ[/tex].

[tex]\angle ABC = 60^\circ[/tex] and [tex]\angle BAC = 70^\circ[/tex] [tex]\implies \angle ACB = 180^\circ - \angle ABC - \angle ACB = 180^\circ - 70^\circ - 60^\circ = 50^\circ[/tex].

[tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] form another pair of supplementary angles. Their sum should also be [tex]180^\circ[/tex]. [tex]\angle ACB = 50^\circ[/tex] [tex]\implies \angle ACD = 180^\circ - \angle ACB = 180^\circ - 50^\circ = 130^\circ[/tex].

Answer:

sum should also be . .

Step-by-step explanation:

Final answer:

To find the ratio of green to total skittles, divide the number of green skittles by the total number of skittles and simplify the fraction. The ratio of green to total skittles is 1:5.

Explanation:

To find the ratio of green to total skittles, we need to divide the number of green skittles by the total number of skittles and simplify the fraction.

Ratio = Number of green skittles / Total number of skittles

Ratio = 13 / 65

Since 13 and 65 are both divisible by 13, we can simplify the fraction to:

Ratio = 1 / 5

Therefore, the ratio of green to total skittles is 1:5.

Answer:

x=12, y=[tex]12 \sqrt{3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

sinθ= opp/hyp

cosθ= adj/hyp

Answer:

Radius is 5/2 or 2.5 inches

Step-by-step explanation:

C = 2πr

5π/2π = 2πr/2π

5/2 = r

Answer:  Radius is 5/2 or 2.5 inches

Answer:

55°

Step-by-step explanation:

The angle 305° is in the fourth quadrant

To find the related acute angle ( the reference angle ) subtract from 360°

reference angle = 360° - 305° = 55°

Equation is y = -1/4x + 5

Step-by-step explanation:

⇒ y = -1/4x + 5

Answer:

D

Step-by-step explanation:

The specific answer is

7.74596669241

Answer:

So, the answer is 175 but in an expression it is 25x where x would be the height in this situation it is 7.

Step-by-step explanation:

So basicly if there is 25 units and there are 7 layers of that 25 units you would multiply 7 by 25 to get 175.

Hence, in an expression it would be 25x where x would be 7

Answer:

1436

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

$2.50 x 12 equals 30

2.50 x 20 equals 50

x10= 2.50 x 20 =$50

Answer:

Step-by-step explanation:

Independent Variable (IV):  Special college preparation program

How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.

Dependent variables (DV): Math placement scores of college applicants

How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.

Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).

Hypothesis:

If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.

Final answer:

The independent variable in the study is whether college applicants have taken a special college preparation program or not, with the dependent variable being the math placement scores. A potential hypothesis could be that applicants who took the program will achieve higher math scores.

Explanation:

Independent Variable (IV): The independent variable in this study is whether college applicants have taken a special college preparation program or not.

Dependent Variable (DV): The dependent variable is the math placement scores of the college applicants.

Hypothesis: A possible hypothesis could be 'College applicants who have taken a special college preparation program will have higher math placement scores compared to those who have not taken the program.'

Answer:

yes it is

Step-by-step explanation:

f(x) or g(x) are functions

Answer:

It is False

Step-by-step explanation:

I tried true and got it wrong

That would be the line of best fit.

The line of best fit is a straight line that best represents the data on a scatter plot.

Hope that helps, :)

Answer:

Yes, it could be a triangle.

Step-by-step explanation:

If the Pythagorean Theorem is satisfied, then these three side lengths represent a right triangle:  

21^2 + 28^2 = 36^2  =>  1225 = 1296  FALSE; we don't have a right triangle here.

However, the sum 21 + 28 is greater than 36, so we could indeed construct a triangle from these 3 side lengths.  It just wouldn't be a right triangle.

Answer:

(5m^3+4)(5m^3-4)

Step-by-step explanation:

(*) A^2 - B^2 =(A+B) (A-B)

25m^6-16=

(5m^3)^2 - 4^2=(*)

(5m^3+4)(5m^3-4)

Hence the value of x is 8

Answer:

8

Step-by-step explanation:

12/x = 3/2

(x)(12/x)=3/2x

12=3/2x

(12)(2/3)=x

8=x

Each drink costs $3.25 and each popcorn costs $8.

Step-by-step explanation:

Step 1:

Assume each drink costs x dollars and each popcorn costs y dollars.

From the given data, we can write the following equations;

[tex]12x + y = 47[/tex], take this as equation 1,

[tex]3x+9y=81.75[/tex], take this as equation 2.

Step 2:

We multiply equation 2 with 4 so we can cancel out the variable x in both equations. By doing this we get

[tex]3x+9y = 81.75[/tex], take this as equation 3. When we subtract 3 from 1, the x variable is canceled out and y can be calculated.

[tex]-35y = -280, y = \frac{280}{35} = 8[/tex]

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y is substituted in equation 1.

[tex]12x+8 = 47, 12x= 39[/tex],

[tex]x=\frac{39}{12} = 3.25[/tex]

So we have x = $3.25 and y = $8. So each drink costs $3.25 and each popcorn costs $8.

Michelle will have $28200 in account after one year.

Step-by-step explanation:

Given ,

P ( Principle amount )= $2000

r ( rate of interest)= 2.10% per month

n (number of times rate of interest is applied) = 12

t ( time period ) = 1 years

Compound Interest = P ( 1 + r/n ) * n*t

⇒  [tex]2000 (1+2.10/12) * 12*1[/tex]

⇒ [tex]2000*12*1.175[/tex]

⇒ 28200

Michelle will have $28200 in account after one year.

Answer:

The amount of thistle bird seed she purchased was 7.5 pounds

Step-by-step explanation:

Let

x ----> the amount in pounds of thistle bird seed she purchased

x ----> the amount in pounds of wild bird seed she purchased

we know that

Kate bought $23.40 worth of two types of bird seed.

so

[tex]1.60x+0.95y=23.40[/tex] ----> equation A

She bought 12 pounds of wild bird seed

so

[tex]y=12\ pounds[/tex]

substitute the value of y in the equation A

[tex]1.60x+0.95(12)=23.40[/tex]

solve for x

[tex]1.60x=23.40-11.40\\1.60x=12\\x=7.5\ pounds[/tex]

therefore

The amount of thistle bird seed she purchased was 7.5 pounds

Kate bought 7.5 pounds of thistle bird seed.

Since Kate bought $ 23.40 worth of two types of bird seed, thistle bird seed sells for $ 1.60 per pound and wild bird seed sells for $ 0.95 per pound, if she bought 12 pounds of wild bird seed, to find the amount of thistle bird seed she purchased, the following calculation must be performed, through a linear function:

Therefore, Kate bought 7.5 pounds of thistle bird seed.

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