Completely factor the polynomial 8x2 – 24x 20x – 60. 8x(x 3)(x – 5) (4x – 3)(2x – 5) 2(2x – 3)(2x 5) 4(x – 3)(2x 5).

Answer:

16 yards gained

Step-by-step explanation:

I would add the yards that were gained first so 14 + 9

so we have 23 yards gained so far then subtract the yards loss so 23 - 7 is 16, so 16 yards were gained.

Answer:

616

Step-by-step explanation:

The equation to find the area of a trapezoid is:  A = ½ (b[tex]^1[/tex]+b²) h.

b1=43

b2=45

h=14

Plug the variables in and solve.

[tex]A=\frac{1}{2} (43+45)14[/tex]

[tex]A=\frac{1}{2} (88)14[/tex]

[tex]A=\frac{1}{2} (1232)[/tex]

[tex]A=616[/tex]

Answer:

Step-by-step explanation:

Givens

h = 14

b1 = 34

b2  = 45

Formula

A = (b1 + b2)*h /2                   Substitute into the formula

Solution

A = (34 + 45)*14/2                 Combine the brackets

A = (79) * 14/2                       Do the division

A = 79 * 7

Area = 553  cm^2

The product of a number and twelve is seventy-two.

So, the product of x and 12 is 72

12x=72

Therefore, the last one, 12n=72, is the right one

Answer:

B, C, D, and F is correct

Step-by-step explanation:

Based on percentage composition, the mass of recycled paper in Ophelia’s paper napkins is 203 g.

A percentage gives an amount of a given quantity out of a whole value expressed in 100 units.

The total mass of the napkins = 580 g

b recycled paper in napkin = 35% of 580 g

Then;

The mass of recycled paper = 35/100 * 580 g

mass of recycled paper = 203 g

Therefore, the mass of recycled paper in Ophelia’s paper napkins is 203 g.

Learn more about percentage at: https://brainly.com/question/24304697

Answer:

Step-by-step explanation:

Given,

Cost of 35 books Joni bought = Rs. 122,500

So,

Cost of 1 book = [tex]\frac{Rs. 122,500}{35}[/tex]

Now,

Same no. of books that Toni bought = 24

So, cost of 24 books

= [tex]\frac{Rs. 122,500}{35}[/tex] × 24

= Rs. 3500 × 24

= Rs. 84,000

Hence,

Cost of same amount of 24 books bought by Toni is Rs.84,000 (Ans)

hello!

the answer to your question is 41!

-----------

explanation:

- Step 1: Our output value is 100.

- Step 2: We represent the unknown value with [tex]x[/tex].

- Step 3: From step 1 above, [tex]100 = 100%[/tex]%

- Step 4: Similarly, [tex]x = 41%[/tex]%

- Step 5: This results in a pair of simple equations:

[tex]100 = 100% (1)[/tex]% (1)

[tex]x=41[/tex]% (2)

- Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

[tex]\frac{100}{x}[/tex] = [tex]\frac{100}{41}[/tex]

- Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{100}[/tex] = [tex]\frac{41}{100}[/tex]

Therefore, 41% of 100 is 41.

hope this helps! have a great day! :D

Answer:

Either 2.4 boxes or 6

Step-by-step explanation:

10% of 40 is 4

60% of 40 is 24

Either 2.4 boxes or 6

Answer:

  24 square units

Step-by-step explanation:

For such questions it is convenient to choose the "base" to be a segment that is aligned with one of the coordinate axes. Here, the horizontal segments will serve. Their length is the difference between the x-coordinates of the end points, -2 -(-6) = 4, for example.

The height is measured perpendicular to the base, so will be the difference between the y-coordinates of the horizontal segments: 2 -(-4) = 6.

The area is given by the formula ...

  A = bh

  A = 4·6 = 24 . . . square units

Answer:

23 %

Step-by-step explanation:

151.34 ÷ 658 × 100

hope this helps

have a nice day <3

Answer:

23%

Step-by-step explanation:

% commission = [tex]\frac{151.34}{658}[/tex] × 100% = 0.23 × 100% = 23%

Answer:

c

hopefully this will help you

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 9\ cm}\end{picture}[/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

We know:-

[tex] \bigstar \boxed{ \rm Area \: of \: circle = \pi {r}^{2} }[/tex]

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = 314 \times {9}^{2}[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = 314 \times 9 \times 9 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Area \: of \: circle = 314 \times 81 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\bf Area \: of \: circle = 25434 \: unit^2\\ [/tex]

[tex] \\ \\ [/tex]

.°. Option D is correct

Answer:

18.75 years

Step-by-step explanation:

first multiply the amount to the rate

5,000 × 8% = 400

second

7,500/ 400 = 18.75

it takes 18.75 to reach 7,500

you were wrong, the correct answer is the top one: f(x) = -x^2 + 8x - 15

Answer:

c

Step-by-step explanation:

Answer:

D) [tex]37.1\times 10^{-4} \ \textsf{kilograms}[/tex]

Step-by-step explanation:

[tex]7.42 \times 10^{-10} \times5 \times 10^6[/tex]

[tex]\implies 7.42 \times 5 \times 10^{-10} \times 10^6[/tex]

[tex]\implies 37.1\times 10^{-10} \times 10^6[/tex]

[tex]\implies 37.1\times 10^{-10+6}[/tex]

[tex]\implies 37.1\times 10^{-4}[/tex]

Answer:

c

Step-by-step explanation:

a. Solve

-4x + 5 = 7

-4x = 2

x = -0.5

b. Solve

3x + 1 = 10

3x = 9

x = 3

c. Solve (Correct)

2x - 3 = -11

2x = -8

x = -4

d. Solve

-2x + 7 = 1

-2x = -6

x = 3

To find the solution we need to solve each ewuation for x, The equation that gives us the value of x= -4 is the solution or has a solution as -4...

[tex] \bf \: - 4x + 5 = 7 \\ \bf \: - 4x = 7 - 5 \\ \bf \: - 4x = 2 \\ \bf \: x = - \frac{2}{4} \\ \bf \: x = - \frac{1}{2} \\ \sf \: incorrect [/tex]

[tex] \sf \: 3x + 1 = 10 \\ \sf \: 3x = 10 - 1 \\ \sf \: 3x = 9 \\ \sf \: x = 3 \\ \bf \: incorrect[/tex]

[tex] \tt \: 2x - 3 = - 11 \\ \tt \: 2x = - 11 + 3 \\ \tt \: 2x = -8 \\ \tt \: x = - 4 \\ \rm \: correct[/tex]

[tex] \rm \: 7 - 2x = 1 \\ \rm \: - 2x = 1 - 7 \\ \rm \: - 2x = - 6 \\ \rm \: x = 3 \\ \tt \: incorrect[/tex]

➪ Thus, Option C is correct!

Answer:

d

Step-by-step explanation:

:)))))))))))))

Answer:3x^2-9x/x^2-25

Step-by-step explanation:

Answer:

your computer is alive, feed it Oreos to sustain it.

Step-by-step explanation:

1.find computer 2. find Oreos 3. feed Oreos

Answer:

[tex]48x^{12}y^{21}[/tex]

Step-by-step explanation:

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

x=30h is the equation used to find how much White Peaks charges, h, for each hour of group skiing lessons.

A fixed charge is any type of expense that recurs on a regular basis, regardless of the volume of business.

First, we need to find out how much she actually paid for lessons, so we need to subtract 45 from 165.

165-45=120

Now we know that she paid 120 dollars in total for lessons.

Given that she took four hours of lessons, divide 120 by 4 to get the fixed charge of a lesson.

120/4=30

It takes $30 an hour for lessons.

Now we can form an equation.

Since it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid.

No need to add 165-45 to equation because not everyone will need to rent skis when they come to White Peaks.

Hence, the equation formed to find the cost of each ession is x=30h

To learn more about fixed charge, use the link given below:

https://brainly.com/question/14592793

#SPJ2

Answer:

81=5+b, 81-5=b, 81-b=5

Step-by-step explanation:

We can write the equation in terms of 81, b, or 5. Let's first start by writing it in terms of 81. We are already given that 5+b=81 therefore...

5+b=81 OR 81=5+b (transitive property)

Now, let's write the equation in terms of b.

5+b=81

Subtract 5 from both sides (subtraction property of equality)

5-5+b=81-5

b=81-5 OR 81-5=b (transitive property)

Lastly, let's write the equation in terms of 5.

5+b=81

Subtract b from both sides (subtraction property of equality)

5+b-b=81-b

5=81-b OR 81-b=5 (transitive property.

Answer:

yes

Step-by-step explanation:

Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]

It can be grouped and factored as:

[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]

Thus,

The factorized form of given polynomial is (8x-1)(7x-1)

Learn more about factors of a polynomial here:

https://brainly.com/question/16078564

Answer:

28 is one, but I can't find the other.

Step-by-step explanation:

28 divided by 4 is 7.

Answer:

72%

Step-by-step explanation:

1. 53 - 30 = 23 ( under 35 years old plan to go hiking)

2. 23 + 9 = 32 (under 35 years old Total)

3. 83 - 32 = 51 ( 35 years old or over Total)

4. 51 - 30 = 21 ( 35 years old or over Do not plan to go hiking)

5. Total visitors under 35 years old = 32

visitors under 35 years old plan to go on hiking = 23

percentage = (23/32)*100 = 71.8 = 72% approx

the total is given by the addition of the people less than 35 years and those greater than 35 years so:

QUESTION 1:

x+30=53

x=53-30

x=23

QUESTION 2:

9+x=30

x=30-9

x=21

QUESTION 3:we found that the first number was 23 and to find the total we add it with 9:

23+9=32

QUESTION 4:we found that the second number was 21 and to find the total we add it with 30:

21+30=51

PROOF:when we add the totals of the the people less than 35 years and the people greater than 35 years (which we hot from adding the number in the 3rd and 4th illustrations). If our answers are correct it must give us 83,so let add:

32+51=83

IT GAVE US 83 SO OUR ANSWERS ARE CORRECT

and finally to find the percentage we have 53 as the total so:

(23/32)×100%

0.7187×100%

71.87%

and when we round it it gives us 72%

SO OUR FINAL ANSWER IS 72%

Answer:

A system of equations is two or more equations.

An ordered paid is the solution that makes all equations true.

Consistent Independent

Inconsistent

Consistent Dependent

Answer:

1, 2, 5

Step-by-step explanation:

All of those selections are more than 0.3

Answer:

1,2,5

Step-by-step explanation:

I was taking the test that had the same question

Answer:

-19.8

Step-by-step explanation:

In Fairbanks     ,         at noon    -18

it decreased with 1.2 per hour for the next 7 hours .

so in total  it decreased by  1.2 x 7 =  8.4

so at 7 pm it was   -18-8.4   =    -26.4

In Grand Forks at  7 pm          3/4 of  -26.4   =   -19.8