John's Mathematics exam mark this year is increased by 5% to 84. Find his Mathematics exam mark
last year. ​

Answers

Answer 1

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

Answer 2

Answer:

80

Step-by-step explanation:

new value = 84

old value = n

can use percent change formula:  (new value - old value) / old value = 5/100

[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]

cross-multiply (you can simplify 5/100 to be 1/20 first):  20(84 - n) = n

1680 - 20n = n

1680 = 21n

n = 80


Related Questions

Question
The heights of five adults are 62, 72, 73, 69, and 71 inches. What is the average height, in inches, of the
five adults?
O 68.6
O 68.8
O 69.2
O 69.4

Answers

Answer:

69.4 inches

Step-by-step explanation:

62 + 72 + 73 + 69 + 71 = 347

347 / 5 = 69.4

Gabby borrowed $95.00 from her aunt to purchase a season pass to the Augusta Green Jackets baseball games.. After saving up her allowance for one month, she is able to pay them $33.65. How much does Gabby still owe her aunt? PLEASE I NEED AN ANSWER FAST!!

Answers

Answer:

$61.35

Step-by-step explanation:

95-33.65

$61.35 is the correct answer

5x - 4y = 34 find y when x= -3

Answers

Answer: Y = -12.25

Step-by-step explanation:

Answer:

-4.75

Step-by-step explanation:

5(-3) - 4y = 34

-15 - 4y = 34

-4y = 19

y = -4.75

Drag the tiles to the correct boxes to complete the palrs. Not all tiles will be used. Match the rates with their equivalent unit rates. 8 4 7. 5 9 6 40 10 > 7 56 64 8 60 12(tell me if you don't understand.) ​

Answers

Answer:

I tldon?t really understand but I think The answer is

Step-by-step explanation:

8 goes with 56, 4 goes with 8, 7 goes with 7, 5 goes with 60, 9 goes with 64 I think. That Is all I understand Of the Question Sorry .

The volume of a substance in the gaseous state is about 1,000 times the volume of the same substance in the liquid state. How much space would 18 mL of water take up if it evaporated?​

Answers

Answer:

18000ml or you an also say 18000[tex]cm^{2}[/tex] and 18 [tex]dm^{2}[/tex]

Step-by-step explanation:

In order to solve this question we will just have to multiply the current volume of the water by 1000. So we get....

18 x 1000 = 18000ml

If you will need to give the answer in [tex]cm^{2}[/tex] or in [tex]dm^{2}[/tex], then if we know that [tex]1ml = 1cm^{2}[/tex]. We can say that the volume of 18 ml of water is equal to.....

18000ml = 18000[tex]cm^{2}[/tex]

18000ml = 18 [tex]dm^{2}[/tex]

Lena made $209 for 11 hours of work.
At the same rate, how much would she make for 5 hours of work?

Answers

Answer:

Concept: Constant time

209/11= $19 per hour Henxe 5 × 19= 95

Answer:

$95

Step-by-step explanation:

Divide.

209 / 11 = 19

Multiply.

19 * 5 = 95

Best of Luck!

find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))

Answers

Answer:

how many of these you got lol?

2 is same as 68 because isosceles triangle

1 is 90-68 = 22

3=2

4= 90

Answer:

[tex]\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\The\ quadrilateral\ is\ a\ rhombus.\\We\ know\ that,\\A\ rhombus\ is\ a\ parallelogram\ with\ all\ sides\ equal.\\As\ it\ is\ a\ parallelogram,\ the\ opposite\ sides\ are\ parallel\ too.\\Hence,\\\angle 3\ and\ \angle68\ form\ alternate\ interior\ angles\ to\ one\ pair\ of\\ opposite\ parallel\ sides\ in\ the\ rhombus,\ and\ are\ equal\ in\ measure.\\Hence,\\\angle 3=68\\[/tex]

[tex]As\ we\ know\ that\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors\ to\ each\ other:\\\angle 4\ forms\ a\ 90.\\Hence,\\\angle 4=90[/tex]

[tex]Now,\ lets\ consider\ the\ isosceles\ triangle\ created\ by\ two\ equal\ sides\ of\\ the\ rhombus\ with\ one\ of\ its\ base\ angles\ \angle 2.\\Now,\\We\ know\ that,\\Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too.\\Hence,\\As\ the\ two\ sides\ are\ equal,\\Base\ angles\ \angle 68\ and\ \angle 2\ are\ equal\ too.\\Hence,\\\angle 2=68[/tex]

[tex]Now,\ lets\ consider\ the\ triangle\ made\ up\ of\ \angle 1\ and\ \angle 2:\\We\ know\ that,\\\angle 2=68 [Proven]\\The\ third\ angle\ is\ 90\ as\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors.\\Hence,\\\angle 1+ \angle 2 +90=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\\angle 1+ \angle 2=90\\\angle 1+68=90\\\angle 1=90-68\\\angle 1=22[/tex]

[tex]By\ putting\ it\ all\ together\ we\ have:\\\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]

Gerry borrowed $7500 at a simple interest rate of 9% for 4 1/2 years to buy a car. How much simple interest did Gerry pay?

Answers

Answer:

the answer is $3037.50

Step-by-step explanation:

%9 = 0.9

by multiplying 0.9 to 7500 we get 675

once we get this we must multiply it by the number of years

4 and 1 half or 4.5 times 675 gives us our answer my friend ;)

Help will give brainist

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Marshall Middle School is planning a field trip to see Romeo and Juliet at the local theater. The cost of a teacher ticket is $25 and the cost of a student ticket is $13. Write an expression to show the cost of t teacher tickets and s student tickets.

Answers

Answer:

25t + 13s

Step-by-step explanation:

Teacher ticket =  $25Student ticket = $13

Expression to show the cost of t teacher tickets and s student tickets:

25t + 13s

-8 \cdot f(0) + 4 \cdot g(-8) =−8⋅f(0)+4⋅g(−8)=

Answers

Answer:

[tex]-8f(0) +4g(-8)=-32[/tex]

Step-by-step explanation:

Given

See attachment

Required

[tex]-8f(0) +4g(-8)[/tex]

From the attachment;

[tex]f(0) = 1[/tex]

and

[tex]g(-8) = -6[/tex]

Substitute these values in [tex]-8f(0) +4g(-8)[/tex]

[tex]-8 * 1 + 4 * -6[/tex]

[tex]-8 -24[/tex]

[tex]-32[/tex]

Hence:

[tex]-8f(0) +4g(-8)=-32[/tex]

(HELP ASAP) Use numerals instead of words.

What is the equation of the parabola passing through the points 2,3 , 6,9and 8,0?

Answers

Answers:

-1 in the first box19/2 or 9.5 in the second box-12 in the third box

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

Work Shown:

We'll use the template y = ax^2 + bx + c

If (x,y) = (2,3) is on the parabola, then y = ax^2+bx+c turns into 3 = a(2)^2 + b(2) + c. That simplifies to 4a+2b+c = 3If (x,y) = (6,9) is on the parabola, then y = ax^2+bx+c turns into 9 = a(6)^2 + b(6) + c. That simplifies to 36a+6b+c = 9If (x,y) = (8,0) is on the parabola, then y = ax^2+bx+c turns into 0 = a(8)^2 + b(8) + c. That simplifies to 64a+8b+c = 0

The system of equations is

[tex]\begin{cases}4a+2b+c = 3\\36a+6b+c = 9\\64a+8b+c = 0\end{cases}[/tex]

We have 3 equations and 3 unknowns.

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

Let's solve the first equation for c

4a+2b+c = 3

2b+c = 3-4a

c = 3-4a-2b

c = -4a-2b+3

Plug that into the second equation and simplify

36a+6b+c = 9

36a+6b+(-4a-2b+3) = 9

32a+4b+3 = 9

32a+4b = 9-3

32a+4b = 6

2(16a+2b) = 6

16a+2b = 6/2

16a+2b = 3 .... we'll use this later

Plug that value of c into the third equation as well

64a+8b+c = 0

64a+8b+(-4a-2b+3) = 0

60a+6b+3 = 0

3(20a+2b+1) = 0

20a+2b+1 = 0

20a+2b = -1

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

We have a new system of equations. This time it deals with 2 variables instead of 3. We can think of this as a reduced equivalent system.

[tex]\begin{cases}16a+2b = 3\\20a+2b = -1\end{cases}[/tex]

Note how subtracting the terms straight down has the b terms canceling (since 2b-2b = 0b = 0)

The 'a' terms subtract to 16a-20a = -4a

The terms on the right hand side subtract to 3-(-1) = 3+1 = 4

We end up with the equation -4a = 4 which solves to a = -1

Use this value of 'a' to find b

16a+2b = 3

16(-1)+2b = 3

-16+2b = 3

2b = 3+16

2b = 19

b = 19/2

b = 9.5

Now use the values of a and b to find c

4a+2b+c = 3

4(-1)+2(9.5)+c = 3

-4+19+c = 3

15+c = 3

c = 3-15

c = -12

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

Summary:

The values of a,b,c we found were

a = -1b = 19/2 = 9.5c = -12

So the function is

f(x) = -x^2 + (19/2)x - 12

which is equivalent to

f(x) = -x^2 + 9.5x - 12

To check this answer, plug in x = 2, x = 6, x = 8 one at a time. You should get y = 3, y = 9 and y = 0 in that order.

Answer:

f(x)=-x^2+9.5-12

Step-by-step explanation:

- for the first box

9.5 for the second box

-12 for the third box

Solve for y
*show your work*

1. 3x + y = 5

2. Y + x = -4

3. 4x + 4y = -36

4. 6x + 2y = 22

5. 3y = 6x = 15

Answers

Answer:

1. Y= 5-3x

2. Y= -4-x

3. Y= -9-x

4. Y= 11-3x

5. Y=2x=5

What is a correct name for the angle shown?

Answers

Answer:

SRT

Step-by-step explanation:

Answer:

obtuse angle

Step-by-step explanation:

a L is a right angle, a right angle is 90 degrees.  if the angle is more then 90 degrees and looks like its being stretched it is obtuse. and if it is smaller then 90% and looks like it is being squashed it an acute angle.

. If n(A)=2 n(B)=3 n(AՈB) =24, what is the value of n(AUB)?​

Answers

Step-by-step explanation:

The answer is is the picture..

Tom is 13 years old. Brad is 10 yrs old. which number sentence can be used to find how much older Tom is than Brad ​

Answers

Answer:

is there a multipe choice?

Answer: 13-10=3

Step-by-step explanation:

Help easy math problems!!!!!

Answers

Answer:

Answer Below

Step-by-step explanation:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Answer:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Step-by-step explanation: Solve for values of all, then check if the equation makes sense.

Find the unknown side length x. ​

Answers

Answer:

x = [tex]\sqrt{65}[/tex]

Step-by-step explanation:

The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)

Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)

[tex]4^{2}[/tex] + [tex]7^{2}[/tex] = [tex]x^{2}[/tex]

16 + 49 = [tex]x^{2}[/tex]

65 = [tex]x^{2}[/tex]

x = sq rt 65

1+y=-4/5x-2

Solve for Y

Answers

Step-by-step explanation:

y=-4/5x-2-1

y=-4/5x-3

y/4=5x-3

(y/4)-3 =5x

(y-12)/4=5x

The solution for y will be y = -4/5x-3

What is expression?

Numbers, symbols and operators grouped together that show the value of something.

Given an expression, 1+y=-4/5x-2

Solving for y, we get

1+y=-4/5x-2

y = -4/5x-2-1

y = -4/5x-3

Hence, The solution for y will be y = -4/5x-3

For more references on expression, click;

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what is the answer 6a+5a-b-5b+2a

Answers

Answer: 13a-6b

Step-by-step explanation:

Answer:

13a - 6b

Step-by-step explanation:

6a + 5a - b - 5b + 2a

~Combine like terms

13a - 6b

Best of Luck!

Enter the expression using exponents. 13 × 13 × 13 × 13 × 13 × 13 × 13

Answers

13 BY THE POWER OF 7  

Step-by-step explanation:

Answer:

13^7

Step-by-step explanation:

13^7 is equal to multiplying the same number 7 times ,/////,

find the value of X if 8x-6 and 32

Answers

Answer:

4.75

Step-by-step explanation:

Equation:8x-6=32

8x=38

x=4.75

The value of x from the equation 8x - 6 = 32 is x = 4.75

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

8x - 6 = 32   be equation (1)

On simplifying the equation , we get

Adding 6 on both sides of the equation , we get

8x = 38

Divide by 8 on both sides of the equation , we get

The value of x = 4.75

Therefore , the value of x is 4.75

Hence , The value of x from the equation 8x - 6 = 32 is x = 4.75

To learn more about equations click :

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Which of the following is the axis of symmetry

Answers

where are the options?
What are the options?

5. Which one choice is written in scientific notation.
A. 0.2 x 107
B. 11 x 10-8
C. 1.01 x 10-2
D. 82 x 10°

Answers

Answer: A is

Step-by-step explanation: its the only one that follows the rules

IXL- 8th grade math W.14

A person can pay $11 for a membership to the art museum and then go to the museum for just $5 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $31?

Answer In the number of visits. (Step by step if you could please I’m doing this IXL having no idea how to do these)

Answers

Answer:

4 visits.

Step-by-step explanation:

First make an equation to represent the cost of the museum stuff using the formula y=mx+b

y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)

Now we need to figure out how many visits a bill of $31 would represent.

We plug in 31 for y because y represents the total cost.

31=5x+11

Now solve for x.

Subtract 11 from both sides: 20=5x

Divide each side by 5: 4=x

Since x=4, it means that a bill of $31 would represent four visits.

Answer:

The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.

Step-by-step explanation:

Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.

$31 - $11 = $20

Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.

$20 / $5 = 4

So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.

Liam makes a poster for the carnival. Kate says the price per ticket decreases the more tickets a customer buys. Liam disagrees.

Answers

Answer:

Is it full question?????

Given that triangle ABC ~ triangle DEF, solve for x and y

Answers

Y would be 8 X would be 10

The value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have two triangles shown in the picture.

By using the property of a similar triangle:

y/7 = 11/x = 6/5

y/7 = 6/5

y = 42/5

11/x = 6/5

x = 55/6

Thus, the value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

Learn more about the similarity of triangles here:

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For the polynomial below, what is the power of the term with the coefficient of
1? x3 + 1/3x4+8x +5

Answers

Answer:

3

Step-by-step explanation:

Look at the 3 above the term x^3. Before x is basically a 1. 1x^3. Hence, the answer is 3.

Dilate the figure by a scale factor 1/2 of with the origin as the center of Gilation. What are the coordinates of the image ABC?

Answers

Answer:

The coordinates of the image ABC will be:

A'(3, 3)B'(6, 6)C'(15, 12)

Step-by-step explanation:

Given the vertices of an original triangle

A(6, 6)B(12, 12)C(30, 24)

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/2 centered at the origin

P(x, y) → P'(1/2x, 1/2y)

so

A(6, 6) → A'(1/2(6), 1/2(6))  → A'(3, 3)

B(12, 12) → B'(1/2(12), 1/2(12))  → B'(6, 6)

C(30, 24) → C'(1/2(30), 1/2(24))  → C'(15, 12)

Therefore, the coordinates of the image ABC will be:

A'(3, 3)B'(6, 6)C'(15, 12)

I dont even know where to start

Answers

Answer:

Step-by-step explanation:

( -1, 14 ) and (9, 14) notice the y coordinate is the same and the distance between points is 10 (from -1 to 0 is 1 and from 0 to 9 is 9 , 1+9 =10)

The axis of symetry is in the middle between the points so is at

x= (9- 10/2) = 9-5 =4

x=4

point (2, 2), vertex (5, -2.5), equation y= a(x-h)²+k

where h=5, k= -2.5, x=2, y=2 so substitute

2= a( 2-5)² -2.5

2= 9a -2.5

2+2.5 = 9a

4.5/9 =a

0.5 = a

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