Given quadrilateral DEFG is an isosceles trapezoid. Find DE.
D
4x - 2
E
2x + 5
3x + 2
G
5x - 3

Answer:

Length= 13in

Width= 10 in

Step-by-step explanation:

Let x=length

Let y=width

x=3+y

xy=130in^2

(3+y)y=130in^2

3y+y^2=130in^2

y^2+3y-130=0

y=10

x=3+10

x=13

Answer:

3

Step-by-step explanation:

Step 1:

2x + y = 9          Equation

Step 2:

2 ( 3 ) + y = 9    Input x

Step 3:

6 + y = 9     Multiply

Step 4:

y = 9 - 6     Subtract 6 on both sides

Answer:

y = 3

Hope This Helps :)

Answer:

The correct answer is A) -19 1/2

Step-by-step explanation:

Using operations with fractions, it is found that the possible steps are:

The equation given is:

[tex]5\frac{1}{2}x + \frac{2}{3}x = 37[/tex]

The improper fraction can be written as:

[tex]5\frac{1}{2} = \frac{5\times 1 + 2}{2} = \frac{11}{2}[/tex]

Then:

[tex]\frac{11}{2}x + \frac{2}{3}x = 37[/tex]

Applying the least common multiple:

[tex]\frac{33x + 4x}{6} = 37[/tex]

[tex]\frac{37x}{6} = 37[/tex]

[tex]37x = 37 \times 6[/tex]

[tex]x = \frac{37 \times 6}{37}[/tex]

[tex]x = 6[/tex]

Hence, options B, D and E are correct.

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Answer:

  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.                                    

Step-by-step explanation:

Let we invest $500 with the interest rate of  14% ,

Now we will find the time it is going to take to double the money

here, we use the formula of compound interest [tex]A= P( 1+\frac{r}{n}) ^{nt}[/tex]

Here, A = the amount yielded,

P = principal,

r = interest rate ,

n = number of times per year,

and t =  time invested.

Now, put A= 1000 , P= 500 , R= 0.14   T= x and N= 1

      [tex]1000=500(1+ 0.14)^x[/tex]      

      [tex]1000=500(1.14)^x[/tex]

       [tex]2=1.14^x[/tex]

     [tex]\log_{1.14} (2)=x[/tex]

      [tex]x=5.29[/tex]

so ,  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.    

Hence , the answer is 5.29 years .                  

Answer:

8.2 × 10-3

Step-by-step explanation:

Uh I don't know the step by step but I know the exponent is a negative because the 0's are on the left and if they are on the right it is not negative.

HOPE THIS HELPS

Answer:

answer is A

Step-by-step explanation:

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

Answer:

0.25

Step-by-step explanation:

Answer:

You can buy 12 gallons of gas.

Step-by-step explanation:

I took 40 and 3.25, then divided them.

I got a very large ugly decimal. When simplified it is 12.

Answer:

3 ounces of the seed and 7 ounces of the dried fruit.

Step-by-step explanation:

Answer: y= 2x+9

have a good day!

Answer:

2A/b = h

Step-by-step explanation:

A=1/2bh

Multiply each side by 2

2A = 2 * 1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A/b = h

Answer: 9/2

......................

Answer:

C.  The value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days

Step-by-step explanation:

So 5 time 4 equals 20...!

80 minus 20= 60

The value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days, which is the correct answer would be option (C).

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

A student works 80 hours per month and plans to work 5 hours each day, but only on days when work is planned. After working for d days, the function / (d) - 80 — 5d shows the number of hours of work remaining for the month.

⇒ f (d) = 80 - 5d ....(i)

According to option (C),

Substitute the value of d = 4 in equation (i),

⇒ f (4) = 80 - 5(4)

⇒ f (4) = 80 - 20

⇒ f (4) = 60

Thus, the value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days

Hence, the correct answer would be option (C).

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Answer:

26 weeks!

Step-by-step explanation:

Hello there!

There are 52 weeks in a year, believe it or not! So, if 1 bag of food was 10 lbs, then it would be 1 bag of 10lbs x 52 weeks, so it would be 52 bags. However, we are dealing with 20 lb bags, which will last twice as long as the 10 lb bag! So, if 1 bag will last 2 weeks, and there are 52 weeks in a year, then it is weeks divided by number of weeks it takes to consume 1 bag, 52 divided by 2. 52 divided by 2 is 26.

So in 1 year, the shelter will need 26 bags of 20 lb cat food!

Hope I helped!

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Answer:

x = -23

Step-by-step explanation:

1st we can isolate x to get it by its self. so we have to subtract 8 on both sides. so now we get

x = -23

Brainiest would be appreciated

High Hopes^^

Barry-

Answer:

Passive

Step-by-step explanation:

Active voice means that a sentence has a subject that acts upon its verb. Passive voice means that a subject is a recipient of a verb's action.

Answer:

5 cups

Step-by-step explanation:

hi! to find the sum of the soup mix, we have to add all the fractions together.

7/4 + 1/2 + 5/3 + 1/3 +1/4 + 1/2

we have to find a common denominator for each, which is the LCM of the denominators. this would be 12. let's change the fractions so we can add them up.

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

add the numerators and keep the denominators the same.

(21+6+20+4+3+6)/12

60/12

this simplifies to 5.

the total amount of soup mix is 5 cups.

Answer:

5 cups of soup mix

Step-by-step explanation:

Make all the denominators equal. The lowest common denominator is 12 so multiple the denominators with 4 by 3, 2 by 6, and 3 by 4.

[tex]\frac{7}{4} *3=\frac{21}{12}[/tex]

[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]

[tex]\frac{5}{3} *4=\frac{20}{12}[/tex]

[tex]\frac{1}{3} *4=\frac{4}{12}[/tex]

[tex]\frac{1}{4} *3=\frac{3}{12}[/tex]

[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]

Now that all the fractions have the same denominator you can add them all together.

[tex]\frac{21}{12} +\frac{6}{12} +\frac{20}{12} +\frac{4}{12} +\frac{3}{12} +\frac{6}{12}=\frac{60}{12}[/tex]

Then simplify the fraction to find out how many total cups of soup mix you have.

[tex]\frac{60}{12} =5[/tex]

5 cups of soup mix

Answer:10x + 26

Step-by-step explanation:

Answer:

$20,400.00

Step-by-step explanation:

so, they're paying 4.25% of $5,000 every month for 8 years.

well, first lets see how many payments were made.

8 x 12 = 96 payments

4.25% of 5,000 is 212.5

so 96 payments of $212.5 is...

$20,400.00

dang, that's a lot of money.

Answer:

4 years

Step-by-step explanation:

65+12x= 113

12x=113-65

x = 48/12=4

Answer:

-21/4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

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Answer:

The answer is x = 7

Step-by-step explanation:

Divide each term by  3  and simplify. Move all terms not containing  x  to the right side of the equation.

Answer:

[tex]\huge\boxed{x=7}[/tex]

Step-by-step explanation:

In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.

Let's apply the distributive property on the left side:

[tex](3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9[/tex]

Add 30 to both sides:

[tex]3x - 30 + 30 = -9 + 30\\\\3x = 21[/tex]

Divide both sides by 3:

[tex]3x \div 3 = 21 \div 3\\\\x = 7[/tex]

So x = 7.

Hope this helped!