Increase £120 by 12.5 percent

Answer:  (15) see below    (16) 284    (17) option 1     (18) option 3    

               (19) see below    (20) 33     (21) L = 50, w = 10

Step-by-step explanation:

15)  7xy + 3x + 5

      ↓       ↓      ↓

      ↓       ↓       5 is a term with no variable so is a constant

      ↓       3x is a term with a coefficient of 3

      7xy is a term with a coefficient of 7

         Constant         Coefficient        Term

7                                      X

3x                                                           X

5            X                                              X

16)  12a²  - 3 |b|  +  2a       ; a = -5,  b = -2

    12(-5)² - 3 |-2| + 2(-5)

 = 12(25)  - 3(2)  - 10

 = 300    - 6      - 10

 =     294         - 10

 = 284

17) 4(k + 5) = -2(9k - 4)

    4k + 20 = -18k + 8              Distributed 4 and -2

   22k + 20 =           8               Added 18k to both sides

   22k         =  -12                      Subtracted 20 from both sides    

              k = -12/22                  Divided 21 from both sides

              k = -6/11                    Simplified (GCF = 2)

18) V = π r²h

    V/(π r²) = h                Divided π r² from both sides

19) v = s² + (1/2)sh

     v - s² = (1/2)sh             Subtracted s² from both sides

   2(v - s²) = sh                 Multiplied both sides by 2

   2(v - s²)/s = h                Divided s from both sides

                            1         2       3

subtract s²          X

divide by s                                  X

multiply by 2                   X

20) F = (9/5)C + 32     ; F = 91

     91 = (9/5)C + 32

     59 = (9/5)C                          Subtracted 32 from both sides

    295 = 9C                              Multiplied both sides by 5

    32.8 = C                                Divided 9 from both sides

       33 = C                              Rounded to the nearest whole number

21) Perimeter (P) = 2Length (L) + 2width (w)

Given: P = 120,    L = 5w

               P = 2L + 2w

           120 = 2(5w) + 2w

           120 = 10w + 2w

           120 = 12w

            10 = w

                                L = 5w

                                   = 5(10)

                                    = 50

Answer:

The region of the [tex]|x|<5[/tex] is the common area between -5 and 5.

But there is no common area for the solution of [tex]|x|>5[/tex].

Step-by-step explanation:

Given two modulus functions:

[tex]1.\ |x|<5\\2.\ |x|>5[/tex]

Let us have a look at the definition of modulus function first:

[tex]|x|=\left \{ {-{x}\ if\ x<0 \atop {x}\ if\ x>0} \right.[/tex]

Now, solving the above given modulus functions one by one using the definition of modulus function.

Solution 1 :

[tex]\pm x <5\\\Rightarrow x<5, -x<5\\OR\\\Rightarrow x<5, x>-5[/tex]

Kindly refer to the attached diagram for solution.

The area shaded in the green color shows the solution for this equation.

Solution 2 :

[tex]\pm x >5\\\Rightarrow x>5, -x>5\\OR\\\Rightarrow x>5, x<-5[/tex]

Kindly refer to the attached diagram for solution.

The area shaded in the blue color shows the solution for this equation.

We can clearly observe that the region of the first equation is the common area between -5 and 5.

But there is no common area for the solution of the second equation.

Therefore, solution of [tex]|x|<5[/tex] has intersection and

solution of [tex]|x|>5[/tex] has union.

Answer:

The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true.

Step-by-step explanation:

The correct statement is Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.

Students need cosigners in order to qualify for a student loan or student loan refinance. This is because many students don't have an extensive credit history of their own. The other person cosigns the loan application so that the lender will consider their credit and income as well as yours.

Hence, Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

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Answer:

[tex]x = \frac{W}{16y} [/tex]

Step-by-step explanation:

To solve for x, we need to arrive at the equation of x=___.

[tex]16xy = W[/tex]

Divide by 16y on both sides:

[tex]x = \frac{W}{16y} [/tex]

Answer:

ok the number you have you mulitiply it then you add the number you multipled then you will get you answer

Step-by-step explanation:

hope this works

Answer:

g = 1

Step-by-step explanation:

equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides

The measure of each new angle is 26°

Answer:

d. grams per cubic centimeter

Step-by-step explanation:

The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.

Answer:a=-8

Step-by-step explanation:

4+7a=12+8a

So first you want to have the variables on the same side

4+7a-7a=12+8a-7a

This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes

4=12+a

Now there are two ways of doing this.

1. 4-12=12-12+a

You moved the 12 to the left side so you have the same variable on one side

4-12=-8

So then a=-8

Or

2. 4-4=12-4+a

0=8+a

then you would have to subtract 8 to keep 'a' by itself

-8=8-8+a

simplify it

-8=a

same thing

Answer:

8 is the right answer

Step-by-step explanation:

because 40 devided by 5 is 8

I'm not sure if you dont know maybe put C

Answer:

i think it would be fx9x5

Step-by-step explanation:

sorry if its not write

Answer:

75 cents (.75)

Step-by-step explanation:

It's easier to figure this out if you turn the fractions into decimals.

4 3/4=4.75

5 1/2=5.5

Now, subtract 5.5-4.75.

5.5-4.75=.75

Have an amazing day!! Hope this helps you :3

The evaluation of of the expression -(2⁻⁶)(2³) is - 1 / 8(-1 over 8)

The expression can be evaluated as follows:

-(2⁻⁶)(2³)

The expression can be evaluated using the law of indices,

[tex](x^{a} )^{b} = x^{ab}[/tex] and [tex](x^{-b} )=\frac{1}{x^{b} }[/tex]

Therefore,

-(2⁻⁶)(2³)

2⁻⁶ = 1 / 2⁶ = 1 / 64

2³ = 2 × 2 × 2 = 8

Hence,

-(1 / 64)(8) = -  8 / 64 = - 1 / 8

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Answer:

[tex]\sqrt{.06}[/tex]

Used a calculator to find all the square roots, .06's is 0.24, which is the closest out of all of the options to the graph.

Answer:24 dogs

Step-by-step explanation:8x3

Answer: slope = -3

Step-by-step explanation:

m = y2 - y1 / x2- x1

m = -6 -3 / 2+1

m = -9 / 3

m = -3

Answer:

27

Step-by-step explanation:

Let the no. of points scored in third game x

given that

A volleyball team scored 14 more points in its first game than in its third game

Then

no. of points scored in First game = x + 14

no. of points scored in Second game = 28

Total no of points scored in three games = x + x + 14 + 28 = 2x + 42

given that The total number of points scored was less than 80

thus

2x + 42 < 80

2x < 80 -42

2x < 28

x < 14

now we know that x is less than

and since x is point scored it will be integer as point cannot be in fraction

and greatest integer less than 14 will be 13

Thus, greatest point scored in third game will be 13

similarly greatest number of points the team could have scored in its first game will be x + 14 = 13 + 14 = 27

Answer:

Step-by-step explanation:

Y=-1/7x-30/7

Answer:

5/6

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Answer:

5/6

Step-by-step explanation:

Keep the first fraction the same, then flip the second fraction, then multiply

2/3 * 5/4

10/12

simplify: divide numerator and denominator by 2

5/6

Answer:

1/x^10

Step-by-step explanation:

hope that helps:)

Answer:

1. (7, 0)

2. (11, 3)

4. (−1, −6)

These are correct

Answer:

i think its D

Step-by-step explanation:

Answer:

a) $165

b) $4180

Step-by-step explanation:

15×11=165

4,345-165=4180

a) The sum of these monthly payments is $165

b) Chris pay in the last month of this plan is $4180

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?

For example

Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Price for furniture set = $4,345

a) The sum of these monthly payments

=15×11

=$165

b) Chris pay in the last month of this plan

=4,345-165

= $4180

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Answer:

b is -8

Step-by-step explanation:

Answer:

b=-8

Step-by-step explanation:

14+b=6

b=6-14

b=-8

Answer:

92 1/15

Step-by-step explanation:

74=19=92

3/5 and 2/5

3times 5 is 15

denominator is 15

9-10=1

92 1/15

Answer:

−3n−26

Step-by-step explanation:

−24−3−3n+1

=−24+−3+−3n+1

Combine Like Terms:

=−24+−3+−3n+1

=(−3n)+(−24+−3+1)

=−3n+(−26)