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Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Answer:

Gordon types at 76 wpm

Step-by-step explanation:

You can find this by dividing the number of words typed by the number of minutes:

[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]

Answer:

78 Words per minute

Step-by-step explanation:

Unit Rate = 3666 Words in 47 minutes

Unit Rate = 78 Words per minute

Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

Answer:

so what is the question?

Answer:

y=5/3x+5

Step-by-step explanation:

change slope in equation given to the negative reciprocal since the line is perpendicular:

-3/5 to 5/3

put values into point slope form y-y1=m(x-x1)

     y1 = y in the point given, which is 25

     m = slope, which is 5/3

     x1 = x in point given, which is 12

y-25=5/3(x-12)

then solve for slope intercept form y=mx+b to get

y=5/3x+5

Answer:

110, 880 feet

Step-by-step explanation:

5,280 feet in one mile x 21 miles

Answer:

110, 880 feet

Step-by-step explanation:

Answer:

The area of the square ABCD is 25 square units

Step-by-step explanation:

The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.

The area of the square is

[tex]A = a^2[/tex]

Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):

[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]

[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]

a = 5

Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:

[tex]A = 5^2 = 25[/tex]

The area of the square ABCD is 25 square units

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Answer:

90

Step-by-step explanation:

This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90

Answer:

0.0006

Step-by-step explanation:

Answer:

y=6

Step-by-step explanation:

y=3x     x=2

y=3(2)

y=6

For the given expression, the value of y is 6.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ y = 3x

Now, For value of x = 2;

The value of y is,

⇒ y = 3x

Substitute x = 2;

⇒ y = 3 × 2

⇒ y = 6

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Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!

Answer:

D. (2, -3) and E. (4,-1)

Step-by-step explanation:

In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).

Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)

Answer:

You have two brackets..divide them as

x-3=0 and x-2=0

so x=3, x=2

The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.

To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.

Setting ( x – 3 ) = 0:

x – 3 = 0

x = 3

Setting ( x − 2 ) = 0:

x − 2 = 0

x = 2

Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.

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Answer: the square root of 9 is 3.

Answer:

Step-by-step explanation:

The difference is 130-150 = -20, a decrease.

-20/150 ≅ -0.133, a decrease of 13.3%

Answer:

A

Step-by-step explanation:

48x^2-8x-18x=3

8x(6x-1)-3(6x-1)

(8x-3)(6x-1)

8x-3

Answer:

Step-by-step explanation:

48x2 - 26x + 3

48x2 - 18x - 8x + 3

6x( 8x - 3) - 1(8x - 3)

(8x - 3) and (6x - 1) are the factors

Option A is the correct answer

Answer:

2 1/4 pints

Step-by-step explanation:

create a ratio with the fact there are 16 ounces in 1 cup

let 'p' = number of pints

16 = 36

 1         p

cross-multiply:  16p = 36

                            p = 36/ 16, which is 9/ 4, or 2 1/4

Answer:

The answer is 5 Kilos.

Step-by-step explanation:

There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.

Answer:

its 3kg

Step-by-step explanation:

Answer: 0.500001

Step-by-step explanation: Hope that helps!

Answer:

$416.00

Step-by-step explanation:

Leslie's 10% and her employer's 3% total 13% of her salary:

0.13 · $3200 = $416

The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.

A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.

Monthly salary = $3,200

Leslie's maximum contribution = 10% of salary

Employer's matching contribution = 3% of salary

Total contributions to the 401(k) plan = 13% of salary

= $416 ($3,200 x 13%)

Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.

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Answer:

it's b

Step-by-step explanation:

literally twelve minus m

Answer:

B

Step-by-step explanation:

12 minus m is, 12 - m

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

You can replace % with /100 to make it a fraction.

  12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8

__

Or, you can reduce the decimal fraction.

  12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8

Answer:

2/5.

Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.

Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.

Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.

Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15

Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

Answer:

x=45

Step-by-step explanation:

An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.

You then divide each side by 2 to get the x by itself which leaves you with x=45.

Answer:

if I did my math right it's 45 if not please fix me

Step-by-step explanation:

First thing is the the sides are congruent meant the angles have to be the same.

Next is the box indicates 90°.

Last thing is that every triangle is 180°

so if I did this right the equation is 2x+90=180

and using algebra in this you eliminate the 90 by subtract because - is the opposite of + which cancels itself and leaving the total with 90.

Then divide the 90 by 2 as it cancels out 2x leaving the answer with x=45

I hope this helps you

Simple answer.

-1 x 3 = -3

3 is your x and -3 is your y.

Answer:

500,000

2

(3)

10.5%

Activity 2

Directions: Find the unknown principal P, maturity