What is the product?
(-3s+2t)(4s-t

Answer:

6, -4

Step-by-step explanation:

abs(-1+x)=5

-1+x=5 and -1+x=-5

-------------------------

-1+x=5

x=5-(-1)=5+1=6

-------------------

-1+x=-5

x=-5-(-1)=-5+1=-4

Answer:

Jared offer $6,000.

Step-by-step explanation:

Given:

A used car is for sale for $24,000. Jared took a chance and offered the owner 1/4 of the selling price.

Now, to find the price Jared offer.

Selling price = $24,000.

Jared offer = [tex]\frac{1}{4}[/tex]  of selling price.

So, to get the price Jared offer:

[tex]\frac{1}{4}\ of\ \$24000[/tex]

[tex]=\frac{1}{4} \times 24000[/tex]

[tex]=\frac{24000}{4}[/tex]

[tex]=\$6000.[/tex]

Therefore, Jared offer $6,000.

Answer:

73.12 yd²

Step-by-step explanation:

Find the triangle first

A=½bh

a=½×12×8

a=6×8

a=48->triangle

semicircle=

a=½×pi×r²

a=½×3.14×4²

a=½×3.14×16

a=8×3.14

a=25.12

add these two

48+25.12=73.12 yd²

Answer:

Step-by-step explanation:

Rent cost 7.50

For x days the rent to pay = 7.50×n

= 7.50n

Answer:

Step-by-step explanation:

each box is 375 grams...and there are 28 boxes

total mass(m) = 28 * 375 = 10,500 grams

The weight of all the boxes of cereals can be found by the equation (C) "28 x 375 = m" and the weight is 10,500 grams.

So, the total mass of all the boxes:

Then, calculate as follows:

So, option (C) is correct.

Therefore, the weight of all the boxes of cereals can be found by the equation (C) "28 x 375 = m" and the weight is 10,500 grams.

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Answer:

2x^3 + 3x - 10

Step-by-step explanation:

Answer:

 = $ 49.5

Step-by-step explanation:

We are given;

Required to determine the amount paid

Taking the retail price as 100%

Then, amount paid will be (100 % - 10%) 90% of the retail price

Therefore;

Amount paid = 90% × $ 55

                     = 0.9 × $ 55

                     = $ 49.5

Thus, the employee paid $ 49.5 for the book.

Subtract the entire equation by 3: 3x = 12

Lastly, divide by 3 to get x alone: x = 4

Answer: 4

Step-by-step explanation:

3x+3=15

    -3 -3

3x    12

3      3

x= 4

The perimeter of the garden is 57.14 m and

the total area of the garden is 178.28 sq. m.

Solution:

Given length of the rectangle = 16 m

Width of the rectangle = 8 m

Radius of the semi-circle = half of the width of the rectangle

Radius = 4 cm

Perimeter of the garden is two lengths of the rectangle and 2 curve sides of the semi-circle.

Perimeter = [tex]2l+2(\frac{2\pi r}{2} )[/tex]

               = [tex]2l+2\pi r[/tex]

               = [tex]2(16)+2\times\frac{22}{7}\times4[/tex]

               = 32 + 25.14

               = 57.14 m

Total area of the garden is the area of the rectangle and area of the two semi-circles.

Area of the garden = [tex](l\times w)+ 2(\frac{\pi r^2}{2})[/tex]

                              = [tex](l\times w)+ \pi r^2[/tex]

                              = [tex]16\times8+\frac{22}{7} \times 4\times 4[/tex]

                              = 128 + 50.28

                              = 178.28 square meter

Hence, the perimeter of the garden is 57.14 m and

the total area of the garden is 178.28 sq. m.

1/4=.25

3/12=.25

yes they are equal

=================================================

Explanation:

In general if

u = < a, b > and v = < c, d >

then,

u+v = < a+c, b+d >

Basically we add the x coordinates separately and the y coordinates are added separately.

----------

So,

u = < -3, 4 >

v = < 8, 2 >

u + v = < -3+8, 4+2 >

u + v = < 5, 6 >

Answer:

The answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]

Step-by-step explanation:

Given:

Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.

Now, to find the acres per hour it takes to harvest.

Darcy harvest = [tex]8\frac{3}{4}=\frac{35}{4}\ acres.[/tex]

The time he took to harvest = [tex]\frac{5}{6}\ hour.[/tex]

So, to get the acres per hour we put formula:

[tex]Distance = \frac{35}{4}\ acres.[/tex]

[tex]Time=\frac{5}{6}\ hour.[/tex]

[tex]Speed=\frac{distance}{time}[/tex]

[tex]Speed=\frac{\frac{35}{4}}{\frac{5}{6}}[/tex]

[tex]Speed=\frac{35}{4}\times \frac{6}{5}[/tex]

[tex]Speed=\frac{210}{20}[/tex]

[tex]Speed=\frac{21}{2}[/tex]

[tex]Speed=10\frac{1}{2}\ per\ hour.[/tex]

Therefore, the answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]

Answer:

34/5

Step-by-step explanation:

6*5=30 + 4 = 34

34/5

The mixed number 6 4/5 can be converted into an improper fraction by multiplying the whole part by the denominator and adding the numerator to the result, giving us 34/5.

To convert the mixed number 6 4/5 into an improper fraction, you follow these steps:

So, (6*5)+ 4 = 34. Therefore, the mixed number 6 4/5 can be written as the improper fraction 34/5.

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Answer:

B salary

Step-by-step explanation:

Your employment status, salary, and bank account balances are never disclosed on your report and have no bearing on your rating.

Although your income has no bearing on your credit score, it's still crucial to understand the five key components of a FICO credit score, the most widely used credit score by lenders.

History of payments (35%): Your credit score is mostly influenced by whether you have a history of making on-time payments on your credit accounts.

Your salary does not directly affect your credit score, but it does affect your ability to pay off credit card debt.

Therefore, Your race, gender, marital status, level of education, religion, political party, or source of income are all factors that are never taken into account when calculating your credit ratings.

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answer x = 8

because 3/4 times 2 equals 6/8 so the solution is 6/8

Answer:

The second choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.971

This is the correct answer.

Answer:

2/4 of his money was spent on dinner

Step-by-step explanation:

Answer:

2/4 or 1/2 of his money of dinner

Step-by-step explanation:

When using your brain you come to the conclusion that the pizza and the salad is his dinner because it is food, so we add those two fractions together to get 2 out of 4 or 1 out of 2.

Answer:

The graph that passes through (-3,-3), (-3,0), and (-3,3) does not represents a linear function.

Step-by-step explanation:

The graph that passes through (-3,-3), (-3,0), and (-3,3) does not represents a linear function. Because if we tried to find the slope for either two pairs of these coordinates. The slope would equal infinity

Lets say we find the slope of (-3,-3) and (-3,0)

[tex]\frac{-3-0}{(-3)-(-3)} =\frac{-3}{0}[/tex]  Slope = [tex]\infty}[/tex]

Now lets say we find the slope of (-3,0) and (-3,3)

[tex]\frac{0-3}{(-3)-(-3)} =\frac{-3}{0}[/tex] Slope = [tex]\infty[/tex]

So now we can see that both lines of each slope is parallel to the y-axis which means that the lines a Undefined Slope (also known as Infinite Slope).

If the caterpillar crawled 22cm farther than the ant, then we are adding 53 and 22 to get 75cm.

Answer:

75cm

Step-by-step explanation:

53 + 22 = 75

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = 4x + 6 ← equation of line

Answer Problem 1: 3*(y+4)

Show Work:

1) y = (1/3)*x-4 // - (1/3)*x-4

2)  y-((1/3)*x)+4 = 0

3) (-1/3)*x+y+4 = 0

4)  y-1/3*x+4 = 0 // - y+4

5)  -1/3*x = -(y+4) // : -1/3

6)  x = (-(y+4))/(-1/3)

7)  x = 3*(y+4)

8) x = 3*(y+4)

Answer Problem 2: Y=-7/12

Show Work:

Step 1: Flip the equation.

7/3 x+4=y

Step 2: Add -4 to both sides.

7/3x+4+−4=y+−4

7/3x=y−4

Step 3: Divide both sides by 7/3.

Answer:

3,600 from $26 tickets  and  1,400 from $40 tickets.  

Step-by-step explanation:

Let x = number of $26 tickets and y= number of $40 tickets

x + y = 5000  ⇒ x = 5000 - y

26x + 40y = 149,600

26(5000 - y) + 40y = 149600

130,000 - 26y + 40y = 149600

14y = 19600

y = 19600/14 = 1,400

x = 5000 - 1400 = 3,600

So, 3,600 from $26 tickets  and  1,400 from $40 tickets.

To determine the number of tickets sold at each price, set up a system of equations using the given information and solve for the variables.

To determine how many tickets should be sold at each price, we can set up a system of equations using the given information.

Let's assume the number of $26 tickets sold is x and the number of $40 tickets sold is y.

The total number of tickets sold is x + y, so we have the equation x + y = 5000.

The revenue generated from $26 tickets is 26x, and the revenue generated from $40 tickets is 40y. The total revenue

is given as $149,600, so we have the equation 26x + 40y = 149600.

Solving this system of equations will give us the values of x and y.

The complete question is:

Trapezoid JKLM is shown below.

What is the length, in centimeters, of KL ?

A. 12 cm

B. 10 cm

C. 9 cm

D.  6 cm

The mentioned figure is attached.

Answer:

[tex]\large\boxed{option\text{ B. }(\overline{KL})=10cm}[/tex]

Explanation:

1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.

2. The height 8 cm is one leg of the right triangle.

3. The other leg may be found by difference:

     [tex]\overline{ML} -\overline{JK}=15cm-9cm=6cm[/tex]

4. Now you can use Pythagora's theorem:

[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm[/tex]

Answer:

22

Step-by-step explanation:

7+7+4+4=22

Answer: 3.12 x 10^-3

Step-by-step explanation:

[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]

Solution:

Given expression is [tex]2\frac{3}{4}+3 \frac{5}{8}[/tex].

To simplify the expression [tex]2\frac{3}{4}+3 \frac{5}{8}.[/tex]

Let us first convert the mixed fraction into improper fraction.

[tex]2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}[/tex]

            [tex]=\frac{8+ 3}{4}+ \frac{24+5}{8}[/tex]

            [tex]=\frac{11}{4}+ \frac{29}{8}[/tex]

Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

            [tex]=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}[/tex]

            [tex]=\frac{22}{8}+ \frac{29}{8}[/tex]

            [tex]=\frac{51}{8}[/tex]

Now, divide 51 by 8 and again write it in the mixed fraction.

             [tex]=6\frac{3}{8}[/tex]

[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]

Hence, the simplified answer is [tex]6\frac{3}{8}[/tex].

Answer:

1. 192 books.

2. 96 books.

3. 24 books.

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.

Greatest number of layers = Height of the box/Width of a book

Greatest number of layers = 8/1 = 8

Minimum number of layers = Height of the box/Height of a book

Minimum number of layers = 8/4 = 2

Upon saying that, we have:

Number of books per layer = Greatest number of books/Minimum number of layers

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8

Number of books per layer = 24

Answer:

These rates DO NOT  form a proportion.

Step-by-step explanation:

Two quantities P and Q are said to be in proportion is and only if:

[tex]\frac{P}{Q} = k[/tex]  for all values of P and Q.

here, k = Proportionality Constant.

Case 1: when P =  21 miles , Q  = 6 hours

[tex]\frac{P}{Q} = \frac{21}{6} = 3.5[/tex]

⇒  k 1 = 3.5

Case 2: when P =  14.3 miles , Q  = 3 hours

[tex]\frac{P}{Q} = \frac{14.3}{3} = 4.76[/tex]

⇒  k 2 = 4.76

As we can see in both the cases, k 1 ≠ k 2

Hence, P is NOT PROPORTIONAL to Q.

So, these rates DO NOT  form a proportion.

Answer:

  $1343

Step-by-step explanation:

After subtracting 15% from 100% of the original price, the price Mr. Quick paid is 85% of the original price.

  0.85 × 1580 = 1343

Mr. Quick paid 1343 for his computer.