Ed takes five 100-point tests in his algebra class. He scores 87, 85 and 87 points on the first three tests. If the scores of his last two tests differ by three points and he has a 90% average on his five tests, what was his highest test score?
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Answers

Answer 1

Answer:

Step-by-step explanation:

When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.

If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:

[tex]\frac{87+85+87+x+(x-3)}{5}=90[/tex] and simplfiying a bit:

[tex]\frac{256+2x}{5}=90[/tex]. Multiply both sides by 5 to get

256 + 2x = 450; subtract 256 from both sides to get

2x = 194 and divide by 2:

x = 97

The one test score was a 97 and the other one, which was 3 less than that, was a 94.


Related Questions

ok please help i don't understand part of the question, I will try and give brainly

Answers

Answer:

j' = (1,-2)   k'=(3,-1) L' = (3,-3)

Step-by-step explanation:

I think that you just multiply all the x,y values for the three points by 1/5?

5 1

-10 -2

j' = (1,-2)

~~~~~~~~~~~~~~~~~~  

15 3

-5 -1

k'=(3,-1)

~~~~~~~~~~~~~~~

 

15 3

-15 -3

l' = (3,-3)

Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was higher than Jan's score and higher than Maxim's score. What could be peters least possible score?

Answers

Answer:

91

Step-by-step explanation:

P>J and P>M

269 -> split into 3 parts

Approx is 90

IF Peter's score is 90, then the other 2 scores could be 90 and 89

+ 1 to Peter's score

Hence Peter's least possible score could be 91.

Find the value of x.
A. 5
B. 31
C. 7
D. 11

Answers

Answer:

5

Step-by-step explanation:

EB is the median so it is the average of the top and bottom lengths

(38 + 6x-6) /2 = 7x-4

Combine like terms

(32+6x)/2 = 7x-4

Multiply by 2

32+6x = 14x-8

Subtract 6x from each side

32+6x-6x = 14x-6x -8

32 = 8x-8

Add 8 to each side

32+8 = 8x-8

40 = 8x

Divide by 8

40/8 = 8x/8

5 =x

A father is 51 years old and his son is 19. How many years ago was the father 5 times his son's age? ​

Answers

Answer:

x=11

Step-by-step explanation:

51-x-5*19= -5x

51-5*19= -4x

4x=5*19-51

4x=95-51

4x=44

x=11

Step-by-step explanation:

let x year ago son age was 5 time his father age.

age of son before x year = 19-x

age of father before x year = 51-x

NOW

according to the question

5(19-x) =51-x

95-5x =51-x

95-51 = -X-5x

44 = 4x

x=11

so your ans is 11years ago

Trash-A-Way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage-No-More charges a flat fee of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal?

Answers

Answer:

look at the explanation

Step-by-step explanation:

Write an equation:

Trash a way : $25 + 0.25x

Garbage No More : $45 per month

so to make them equal we need to have enough trash in Trash A Way that it equals $45

25  + 0.25x =45

0.25x = 20

x = 80

So, you need to have 80 pounds of trash to make them equal

hope this helps!

please vote and heart!

There are j cars at the Rockford dealership and k cars at the Robinson dealership. The Robinson dealership has 6 more than three times as many cars as the Crockford dealership. What is the value of k in terms of j?

Answers

Answer:

[tex]k=3j+6[/tex]

Step-by-step explanation:

We can setup an equation in terms of k and j:

[tex]k=3j+6[/tex]

We get this equation because there are 6 more than 3 times the Crockford cars in the Robinson dealership. We see that the equation already is the value of k in terms of k, so we have our answer.

Find the perimeter of a quadrilateral with vertices at C (−2, 1), D (2, 4), E (5, 0), and F (1, −3). Round your answer to the nearest hundredth when necessary.

Answers

Answer: the perimeter is 20

Step-by-step explanation:

Distance between C and D

Sqrt (-2-1)^2 + (1- -3)^2=

Sqrt -3^2 + 4^2=

Sqrt 25 = 5

Between D and E

Sqrt(5-2)^2+(0-4)^2=

Sqrt 25 = 5

Between E and F

Sqrt(1-5)^2+(-3-0)^2=

Sqrt 25=5

It is a square

The value of the perimeter of a quadrilateral is, 20 units

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Vertices are,

C (- 2, 1), D (2, 4), E (5, 0), and F (1, - 3).

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

CD = √(- 2 - 2)² + (1 - 4)²

CD = √16 + 9

CD = √25

CD = 5

DE = √( 2 - 5)² + (4 - 0)²

DE = √9 + 16

DE = √25

DE = 5

EF = √(5 - 1)² + (0 + 3)²

EF = √16 + 9

EF = √25

EF = 5

FC = √(- 2 - 1)² + (1 + 3)²

FC = √9 + 16

FC = 5

Thus, The value of the perimeter of a quadrilateral is,

CD + DE + EF + FC

5 + 5 + 5 + 5

20 units

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Gabby piggy bank contains dimes and quarters worth $8.55. If she has 63 coins in all how much does she have

Answers

Answer: 48 dimes, 15 quarter

Step-by-step explanation:

Given

The money is of the net worth of [tex]\$8.55[/tex]

If there is total of 63 coins

Suppose there are [tex]x[/tex] dimes and [tex]y[/tex] quarter

[tex]\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)[/tex]

Solve (i) and (ii)

[tex]x=48,y=15[/tex]

Thus, there are 48 dimes and 15 quarters

Use inductive reasoning to predict the next three numbers in the pattern.
9 ,3 ,1 ,1/3, 1/9
Predict the next three numbers in the pattern.

Answers

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]

[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]

[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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Help solve both of these questions

Answers

Let's solve for a.
p
x
=
x
3

4
x
2
+
a
Step 1: Flip the equation.
x
3

4
x
2
+
a
=
p
x
Step 2: Add -x^3 to both sides.
x
3

4
x
2
+
a
+

x
3
=
p
x
+

x
3

4
x
2
+
a
=

x
3
+
p
x
Step 3: Add 4x^2 to both sides.

4
x
2
+
a
+
4
x
2
=

x
3
+
p
x
+
4
x
2
a
=

x
3
+
p
x
+
4
x
2

Answer:
a
=

x
3
+
p
x
+
4
x
2

Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scouts on the west coast of a town versus those sold on the east coast of the town naming the different car brands seen in a school's parking lot assessing students' ratings of their professors' performance on a five-point scale ranging from poor to excellent ranking the participants of a race based on their performance

Answers

Answer:

students' ratings of their professors' performance on a five-point scale ranging from poor to excellent

Step-by-step explanation:

There are four type of scales in mathematics. They include:

1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot

2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance

3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.

Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.

4. Ratio scale :  this scale has the property of order, a meaningful zero and equal intervals.

if two similar rectangles have a scale factor of 5:2 and the area of the smaller rectangle is 45 cm^2, what will be the area of the larger rectangle?

Answers

Answer:

281.25 cm^2

Step-by-step explanation:

Given that,

The scale factor of Two similar triangles = 5:2

Area of the smaller rectangle = 45 cm^2

To find,

The Area of the larger rectangle = ?

Procedure:

As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.

(5)^2/(2)^2 = a/45

∵ The area of the larger rectangle = 25/4 * 45

= 281.25 cm^2

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?

Answers

Answer:

The length of one side of the hot tub is 4.8ft

Step-by-step explanation:

Given

Shape: Square

[tex]k = 5[/tex] -- scale factor

[tex]B'C' = 24[/tex]

Required

Side length of ABCD (the hot tub)

From the question, we understand that

[tex]ABCD \to D_5 \to A'B'C'D[/tex]  ABCD dilated by 5 to A'B'C'D

This implies that:

[tex]BC * 5 = B'C'[/tex] i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D

So, we have:

[tex]BC * 5 = 24[/tex]

Divide by 5

[tex]BC = 4.8[/tex]

Please help me find those two boxes guys

Answers

Answer:

y=113505(1+0.012)^(x)

y=120481. Answered by Gauthmath

Find the volume of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

1.92

hopefully this answer can help you to answer the next question.

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Question 3: 220 centimeters

Question 4: 31.4 millimeters

Step-by-step explanation:

Question 3:

Formula for circumference: 2πr

2πr

Exchange π for 22/7

2 · (22/7) · r

Exchange r (radius) for 35

2 · (22/7) · 35

Simplify:

2 · (22/7) · 35

44/7 · 35

220; 220 centimeters

Question 4:

Formula for circumference: 2πr

2πr

Exchange π for 3.14

2 · 3.14 · r

Exchange r (radius) for 5

2 · 3.14 · 5

Simplify:

2 · 3.14 · 5

6.28 · 5

31.4; 31.4 millimeters

Answer:

220 cm31.4 mm

Step-by-step explanation:

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

Solve:

Question # 1

r = 35 cm

π = 22/7

Circumference = 2πr

Circumference = 2 (22/7) (35)

Circumference = 2 (110)

Circumference = 220 cm

Question # 2

r = 5 mm

π = 3.14

Circumference = 2πr

Circumference = 2 (3.14) (5)

Circumference = 10 (3.14)

Circumference = 31.4 mm

Hope this helps!! :)

Please let me know if you have any questions

HELP PLEASE ! it keep saying its wrong ​

Answers

Answer:

x=24 y=33

Step-by-step explanation:

If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.

Help pls will give brainliest

Answers

Answer:

195.06

Step-by-step explanation:

area of circle = πr^2 = π8^2 = 64π

area of triangle = 1/2 x 4 x 3 = 6

area of shape = 64π-6 = 195.061929 = 195.06

Put the following equation below in function notation and evaluate, using x as the independent
variable.
3x + 5y = 15; x=2

Answers

Answer:

1st option

Step-by-step explanation:

3×2+5y=15

5y=15-6

y=9/5

Answered by GAUTHMATH

Heyyyy
Here it is
Hope it helps

Are the triangle below similar

Answers

Answer:

Yes ,because of SAS similarity theorem

Step-by-step explanation:

In ΔYOM , ΔTON

∠YOM = ∠TON        

[tex]\frac{OY}{OT}=\frac{96}{84}=\frac{8}{7}\\\\\frac{OM}{ON}=\frac{104}{91}=\frac{8}{7}[/tex]

SAS similarity theorem

Answer:

Hello,

Answer C

Step-by-step explanation:

[tex]\dfrac{96}{104}=? \dfrac{84}{91} \\\\Calculating\ crossed\ products\\96*91=8736\\104*84=8736\\they\ are\ equals\\\\\\\dfrac{YO}{MO} =\dfrac{OT}{ON} \\\\\\Triangles\ are\ similar\ because \ SAS \theorem\\\\[/tex]

6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and their difference is 10 find the two integers ​

Answers

Answer:

20, 30

Step-by-step explanation:

let the intergers be x and y

x = 2/3y

from this eqn, we know that y is larger.

hence, y-x=10

y-2/3y=10

1/3y=10

y=30

x=2/3y =2/3(30) = 20

Please help will give brainliest

Answers

Answer:

16p - 2

Step-by-step explanation:

Answer:

20p - 2

Step-by-step explanation:

To find a perimeter, you take the values of each side and add them together.

Let's start there.

[tex](p-8)+(9p-7)+(p-8)+(9p-7)[/tex]

Bring all values with a p to one side

[tex]p+9p+9p+p-8+7-8+7[/tex]

Simplify, knowing values with an attached variable cannot be added to values without an attached variable.

[tex]20p-8+7-8+7[/tex]

Simplify the other numbers.

[tex]20p-2[/tex]

An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?

Answers

Step-by-step explanation:

Against the wind, the wind works against the speed. With the wind, the wind aids the speed.

4(p - w) = 2416

4(p + w) = 2896

p - w = 604

p + w = 724

2p = 1328

p = 664 mph

664 + w = 724

w = 60 mph

tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem

Answers

Answer:

3 a + 4 b

Step-by-step explanation:

Biểu thức đại số biểu thị bạn Cúc mua  3  ly trà sữa và  4  ly kem là:

3 a + 4 b

pls help asap no wrong answers------------

Answers

Answer:

0.75, 1.25

Step-by-step explanation:

first we bring the line equation into the same format as the parabola equation (y = ...)

3x - y = 1

=>

y = 3x - 1

now we can say for the intersection points both equations must have the same result.

4x² - 1 = 3x - 1

4x² - 3x = 0

x(4x - 3) = 0

there are only 2 possible cases to make this true :

x = 0

and 4x - 3 = 0

4x = 3

x = 3/4 = 0.75

for the y value let's use the easier equation (line) :

y = 3×3/4 - 1 = 9/4 - 4/4 = 5/4 = 1.25

What is the sum of the angles 'a' and 'b' from the diagram below.

Answers

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?

Answers

Answer:

firstly find the gradient given by the equation

m=y2-y1/x2-x1

in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16

m=-16+8/-17+12

=-8/-5 or1.6

then use the equation

y-y1=m(x-x1)

y+8=1.6(x+12)

y+8=1.6x+19.2

y=1.6x+11.2

I hope this helps and sorry if it's wrong

Round 2.577681 to four decimal places

Answers

Answer:

2.5777

Step-by-step explanation:

The 6 in "2.577681" is greater than 5, so the value increases by 1.

What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?

Answers

Answer:

a₁₉ = 99

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 5 , then

a₁₉ = 9 + (18 × 5) = 9 + 90 = 99

The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given an AP series

First term(a) = 9

Common difference (d) = 5

The nth term is given by

⇒ a + (n - 1)d

So,

19th term = 9 + (19-1)5

⇒ 99

Hence "The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99".

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If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number

Answers

Answer:

should I fild the length of third side in this question ?

Answer:

If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.

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