1. In a study of how college education costs have changed since 1980,
each year's average cost of tuition is expressed as a percentage of the
1980 cost. Which term refers to the 1980 cost?
(a) Reference value
(c) Rate of inflation
(b) Index number
(d) Price index

Step-by-step explanation:

If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.

Answer:

5x-16

Step-by-step explanation:

-(16 - 5x)

Use distributive property to open parenthesis.

-(16 - 5x)=

=(-1*16)+(-1*-5x)=

=(-16)+(5x)=

=5x-16

Finding x.

5x-16=0

5x=16

x=3.2

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Answer:

x = 27

Step-by-step explanation:

You need to cube each side.

[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]

x = 27

Answer:

2.1/5

3.7/5

4.7/20

Step-by-step explanation:

2.1/5

3.7/5

4.7/20

Greetings from Brasil...

A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators

B - fraction addition/subtraction with different denominators = we have to use LCM

2)

(10/15) - (7/15) - case A

(10 - 7)/15 = 3/15

3)

(8/10) + (3/5) - we can simplify the first fraction

(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5

4)

(3/4) - (2/5) - case B

LCM 4 and 5 = 20

(3/4) - (2/5) = 7/20

Answer: 5.175

Step-by-step explanation: 18 - 9.7 - 3 1/8 = 5.175

The value of k(10) is 6.

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Peaches, beans, spinach, and pistachios are dietary sources of iron. We get iodine via seaweed, shrimp, eggs, salt, and dairy products in our diet.

What do dietary trace elements do?

What are trace elements give two examples?

Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).

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We're given:

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

[tex]3m+6[/tex]

Answer:

493%

Step-by-step explanation:

To convert a decimal to percentage, muiltiply the decimal by 100.

Answer:

SK: 32

Step-by-step explanation:

Subtract SY - KY to find SK

45 - 13 = 32

Answer:

Step-by-step explanation:

30 feet.

Answer:

√18 is between 4.2 and 4.3

√52 is equivalent to 2√13

......

There are 7 rabbits sold for $7 and 13 rabbits sold for $11.

Substitution method:

In the substitution method, we must substitute the value of one given variable in terms of the other given variable and find the solution.

Given,

A pet shop sold 20 rabbits for $192.

Some of the rabbits sold for $7 each and the rest for $11 each.

Here we need to find the number of rabbits sold in each case.

Let us consider x be the number of rabbits sold for $7 and y be the number of rabbits sold for $11.

We know that, the total number of rabbits sold = 20.

So, it can be written as,

=> x + y = 20

Here we have to rewritten this equation as,

=> x = 20 - y ----------------------(1)

We know that, total amount for sold rabbits = 192

So, it can be written as,

=> 7x + 11y = 192 -----------------------(2)

Apply the value of x to equation (2),

Then we get,

=> 7(20 - y) + 11y = 192

=> 140 - 7y + 11y = 192

=> 4y + 140 = 192

=> 4y = 192 - 140

=> 4y = 52

=> y = 52/4

=> y = 13.

Apply the value of y on the equation (1),

Then we get,

=> x = 20 - y

=> x = 20 - 13

=> x = 7

Therefore, there are 7 $7 rabbits and 13 $11 rabbits are sold.

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Answer:

[tex]{ \tt{ \angle4 + \angle3 = 180}} \\ { \boxed{ \tt{ \angle3 \equiv \angle7}}} \\ { \tt{\angle4 + 114 = 180}} \\ { \tt{\angle4 = 180 - 114}} \\ { \underline{ \tt{ \: \angle4 \: = 66 \: }}}[/tex]

Answer:

1. x = 9

2. x = 4

3 x =

4. x = 10

5. x =

6. x = 11

7. x = -1

8.x =

9. x = -4

10. x =

11. x = 10

12.x = -10

Sam pays 680$ per year for his current car and will pay 544$ per year if he buys the new car as per dealer's claim.

According to the question statement, A car dealer claims that buying a new car Sam will have to pay 20% less for gas than for the car he currently owns. The car Sam currently drives costs 15% less to gas than Don's car. Don pays 800$ per year for gas car. It is assumed that all cars will be travelling the same distance.

We are supposed to find out how much will Sam pay for his current car.

To solve this question, we need to know about the concept of percentage of any number.

Don currently pays 800$ per year on gas.

Sam pays 15% less than what Don pays, Therefore the money Sam is paying currently will be 800$ minus 15% of 800$ i.e.,

= [tex]800 - \frac{15}{100} *800[/tex]

= [tex]800-120[/tex]

= [tex]680[/tex]$

680$ per year is the money Sam is spending currently.

If he buys the new car, according to the claim of dealer, he will pay 20% less than what he is paying currently i.e., 680$ - 20% of 680$

= [tex]680-\frac{20}{100} *680\\[/tex]

= [tex]680 - 136[/tex]

= [tex]544[/tex]$

Therefore, Sam pays 680$ per year on gas on his current car but if he buys the new car he will pay 544$ per year on gas.

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When Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

Milgram's experiment examined if authority affected submission. Stanley Milgram, a Yale University psychologist, carried out several obedience tests in the 1960s that produced some providing more opportunities.

Milgram discovered that more than 60% of the men in his sample of 20 to 50-year-olds who participated in his initial series of trials reached 450 volts.

As a result, when Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

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The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

Equilateral triangle:

An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.

Given:

the perpendicular of the triangle = 5

Let the side of the equilateral triangle = a

Solution :

Now all the side of the triangle is is equal, so that a=x

The base of an equilateral triangle is divided into 2 equal parts,  due to the perpendicular.  

Now by Pythagoras equation :

[tex]p^{2} +b^{2} =h^{2}[/tex]

[tex]5^{2} +(\frac{x}{2} )^{2} =x^{2}[/tex]

[tex]25=x^{2} -\frac{x^{2} }{4}[/tex]

[tex]25 (4)=4x^{2} -x^{2} \\100=3x^{2}[/tex]

[tex]\frac{100}{3}=x^{2} \\\\\sqrt \frac{100}{3} } =x[/tex]

[tex]\frac{10}{\sqrt{3} } =x[/tex]

Simple radical form with rational denominator :

Radical form: An expression that uses a root, such as a square root, or cube root is known as a radical notation, Therefore, [tex]3^{\frac{3}{2} }[/tex] in radical form is = √27.

Convert [tex]\frac{10}{\sqrt{3} }[/tex] into radical form with rational denominator:

[tex]\frac{10}{\sqrt{3} } =\frac{10}{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\[/tex]

[tex]\frac{10\sqrt{3} }{3}[/tex]

The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

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Answer:

1. -3x^2 +2x -5

a= -3 b= 2 c= -5

4. 2x^2 -2x -6

a= 2 ...

Step-by-step explanation:

Standard form: Ax^2 +bx +c

Answer:

2

Step-by-step explanation:

Answer:

$1020.00

Step-by-step explanation:

15% means 15/100 divide by 100 and you get .15

.15 x 1200 gives us the rebate.  The rebate is 180.  We subtract that from 1200. 1200 -180 = 1020

Another way to think about this, is that we are taking 15% off we are leaving on 85%

.85 x 1200 = 1020

Answer:60*10-8*6

Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6

The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

The equation is given as:

60* 10-8* (3* 2)

Using PEMDAS, the first step is to open the brackets by multiplication So, we have:

60* 10-8* (3* 2)

60* 10-8*6

Then multiply the rest and subtract.

600- 48 = 552

Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

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No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.

Here,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Because 4+8=12 and 1+8=9.

We have to find that Kareem is correct or not.

What is a ratio?

Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Now,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Calculate the ratio as;

12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3

So,

12 / 9 = 4 / 3

Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.

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The equation is 547.75 = 4.25a + 144 so the tape diagram in option D is the correct answer.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

It has one or more variables and equal to symbol.

Example: 3x – 5 = 5

We have,

Time spent fixing the computer = 4.25 hours

Cost of parts = $144

Total cost = $547.75

Cost of labor per hour = a

Since the cost of labor per hour is 'a' cost of labor for 4.25 hours is:

= 4.25 x a

= 4.25a

We can write an equation as:

547.75 = 4.25a + 144

Thus the tape diagram in option D is the correct answer.

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Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= [tex]\frac{(\frac{2}{3} )}{8}[/tex]

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

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Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where

a and b are the legs

and

c is the hypotenuse

.

the problem gives the "legs" because the LONGEST leg is always the hypotenuse.

a^2 + b^2 = c^2

1071^2 + 1840^2 = c^2

1147041 + 3385600 = c^2

4532641 = c^2

Answer:

y = 2x - 2

Step-by-step explanation:

y = 2x + 2

4 = 2(3) + c

4 = 6 + c

c = -2

y = 2x - 2

The line is parallel so slope remains same but intercept changes.