Three boys spent the afternoon playing a video game and then compared their best scores. Al says, "My best today is 1800 points more than yours, Bob." Carlo says, "I was having a good day. My 7200 points is 2/3 as much as your two scores combined, Al and Bob." How many points did each boy get in his best game that afternoon?

Answers

Answer 1

Answer:

Bob = 4500

Al = 6300

carlo = 7200

Step-by-step explanation:

the following equations can be derived from the question

A = B + 1800 equation 1  or A - B = 1800

C = 7200 = 2/3 (A + B)  equation 2

where A = Al's score

B = Bob's score

C = Carlo's score

Make A + B the subject of the formula in  equation 2

A + B = 10,800  equation 3

subtract equation 1 from 3

2B = 9000

B = 4500

Substitute for B in equation 1

A = 4500 + 1800 = 6300


Related Questions

What is the value of the expression below when m = 9 and n = 3?
m2 ÷ (n + 6)

Answers

Answer:

Step-by-step explanation:

m2 ÷ (n + 6)

Putting values of m = 9 and n = 3 in the equation

(9)^2 ÷ (3 + 6)

81 ÷ 9

= 9

Find the volume of each square pyramid given its slant height. Round to the nearest tenth. It looks like a normal pyramid with a slant height of 2.8 and a base of one of the triangles is 1.2.

Answers

Answer:

1.344 cubic units

Step-by-step explanation:

Given data

Base edge a= 1.2

Hieght= 2.8

The expression for the volume of a pyramid is

V= a^2h/3

substitute

V= 1.2^2* 2.8/3

V= 1.44*2.8/3

V= 4.032/3

V= 1.34cubic units

The graph of the equation y = 4x + 8 is shown. Which TWO statements are correct?
es )
A)
The coordinate pair (0, 10) represents a point on the graph and a solution
to the equation.
B)
The coordinate pair (-1, 4) represents a point on the graph and a solution
to the equation.
0
The coordinate pair (-2, 1) represents a point on the graph and a solution
to the equation.
D)
The coordinate pair (-3, 2) represents a point on the graph and a solution
to the equation
E)
The coordinate pair (-4,-8) represents a point on the graph and a solution
to the equation.

Answers

b and e if you plug it in desmos it gives you direct coordinates

The correct statements are:

- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.

-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.

Options C and E are the correct answer.

We have,

The equation y = 4x + 8 represents a linear relationship between x and y.

To determine which statements are correct, we need to substitute the x-coordinate of each given coordinate pair into the equation and see if it satisfies the equation.

A) The coordinate pair (0, 10)

Substituting x = 0 into the equation: y = 4(0) + 8 = 8

So, (0, 10) does not satisfy the equation.

Statement A is incorrect.

B) The coordinate pair (-1, 4)

Substituting x = -1 into the equation: y = 4(-1) + 8 = 4 + 8 = 12

So, (−1, 4) does not satisfy the equation.

Statement B is incorrect.

C) The coordinate pair (-2, 1)

Substituting x = -2 into the equation: y = 4(-2) + 8 = -8 + 8 = 0

So, (−2, 1) does satisfy the equation.

Statement C is correct.

D) The coordinate pair (-3, 2)

Substituting x = -3 into the equation: y = 4(-3) + 8 = -12 + 8 = -4

So, (−3, 2) does not satisfy the equation.

Statement D is incorrect.

E) The coordinate pair (-4, -8)

Substituting x = -4 into the equation: y = 4(-4) + 8 = -16 + 8 = -8

So, (−4, -8) does satisfy the equation.

Statement E is correct.

Therefore,

The correct statements are:

- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.

-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ6

15.48 rounded to the nearest whole number

Answers

Answer:

15

Hope that this helps!

Answer And explanation only please ..

Answers

Answer:

[tex]B. -4C[/tex]

Step-by-step explanation:

0 kilometers = 2 C100 kilometers = 2 - 3 = -1 C200 kilometers = -1 - 3 = -4 C

This is a simple ratio: after 100 kilometers, the Celsius (temperature) decreases by 3 degrees!

Answer:

-4°c

Step-by-step explanation:

This is the answer because the bear travel's 200km and that amounts to a decrease of 6° total , and if the temp starts at 2 and you subtract 2-6 it equals -4.

this is an answer not a question btw if u have this same question
4 2/3 divided by 1/2 = 9 1/3

Answers

Thanks for the answer

A rectangle has a length of 8.5 inches and a width of 6 inches. This rectangle is dilated by a scale factor of 3.2 to create a new rectangle. Which figure represents the new rectangle?

Answers

4.7 or 7.5 try both they should be right

Why do we need logs to solve exponential equations?

Answers

Answer:

Step-by-step explanation:

Logarithms can be used to solve exponential equations and to explore the properties of exponential functions.

Given m/n
find the value of x.

106°
470

Answers

Answer:

x = 106

Step-by-step explanation:

The angle with a measure of 106 degrees and the angle labeled "x" are opposite exterior angles

Opposite exterior angles are congruent

Hence, x = 106

What is the square root of 200 in a whole

Plz answer

Answers

Answer:

The square root of 200 can be simplified as 10√2.

Step-by-step explanation:

hope i helped

Answer:

10[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2^{3} * 5^{2} }[/tex]

[tex]\sqrt{2^{2} *2*5^{2} }[/tex]

[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]

[tex]2\sqrt{2} *5[/tex]

10[tex]\sqrt{2}[/tex]

yeah i really need help i have been at it for hours o btw u get brainly if u get it right

Answers

Answer:

(-5,-5)

Step-by-step explanation:

Connect The points H and F so it forms a right angle

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

G = (-5,-5)

Step-by-step explanation:

d = sqrt (x^2 - x^1)^2 + (y^2 - y^1)^2

Let's use the coordinate pairs: (6,4) and (6,-5).

Input.

d = sqrt (6 - 6)^2 + (-5 - 4)^2

Solve.

d = sqrt 0 + (-9)^2

d = sqrt 0 + 81

d = sqrt 81

d = 9

Count 9 places back from (6, -5) , then you will arrive at (-5,-5).

Thus, the fourth vertex of the rectangle "EFGH" is (-5,-5) for G.

Help ASAP on a timer ⏱

Answers

Answer:

B: 395

Step-by-step explanation:

Answer:400

Step-by-step explanation:

11. Which pair of angles is always congruent?
A two complementary angles
B two supplementary angles
C two vertical angles
D two acute angles

Answers

Answer:

C. Two vertical angles

This is your answer mate

Priya, variable "p", jumped 3 inches more than Xeno, “x”, in a high jump contest. Mai, “m”, jumped three times as many inches higher than Priya. If Mai jumped 14 inches, how many inches did Xeno reach? (You can use a tape diagram or hanger diagram to help solve this problem). ***EXPLAIN how you found your answer below:

Answers

Answer:

Xeno jumped 1 2/3 in

Step-by-step explanation:

if Mai jumped 3 times higher than Priya dividing Mai's 14 by 3 would get Priya's height. Then by subtracting 3 from Priya's height, which is 4 2/3, you get Xeno's height which is 1 2/3 in

If the image below is a dart board, find the probability of landing
your dart in the circle. Give your answer as a percent, Round to
one decimal place.

Answers

your answer is going to be 16

Answer and explanation

Answers

Answer: c

Step-by-step explanation: because you add the x's and then add the fractions

Look at the graph. Write and equation to describe the relationship between x and y.



The equation that can used to describe the relationship between x and y is

Answers

Answer:

y= -2x +3

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

Here

Slope of line m=-2 (for every one step on x-axis line going down 2 step on y-axis)

y-intercept b=3

Rang of the number 12,9,24,24,37,18,9,6,24

Answers

Answer:

it is 15

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Range = Largest number ( in terms of value ) - smallest number ( in terms of value )

The largest number of the set is 37 and the smallest number is 6

Range = 37 - 6

37 - 6 = 31

Hence, the range is 31

ASAP!! ILL GIVE BRAINLEST
In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the volumes is...

A:B
A^3:B^
A^-1:B^-1
A^2:B^2

Answers

Answer:

A^-1:B^-1

Step-by-step explanation:

im not 100% sure but i think this is the right answer :)

Mr porter had eight parties at her house last year the number of guest at each party is shown below 15,19,9,27,21,21,10,14

Answers

Answer:

17

Step-by-step explanation:

Complete question

Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties

The median value is the value at the middle after rearrangement

On rearranging in ascending order

9, 10, 14, (15, 19), 21, 21, 27

Since there are two values in the middle, we will take the average of the numbers

Median = 15+19/2

Median = 34/2

Median = 17

Hence the median value is 17

hello! i'll mark the best answer brainliest (:

Tatiana opens a bank account that pays interest compounded annually. Which of the following are reasonable interpretations of the expression 500(1.0325)^t in this context?
Select all that apply.

A. The account earns about 1.03% interest each year.
B. The account earns 3.25% interest each year.
C. The account earns 5% interest each year.
D. Tatiana's starting balance was $500.
E. After 1 year the account will be worth $500.

Answers

I believe the answers are A. The account earns about 1.03% interest each year. and D. Tatiana's starting balance was $500.

I hope this helps

Answer:

A and E

Step-by-step explanation:

The length of one leg of a right triangle is 20.3 centimeters. The length of the hypotenuse is
30.7 centimeters. Which is closest to the length of the other leg?

Answers

Answer:  Approximately 23.0 cm

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

Work Shown:

a = 20.3

b = unknown

c = 30.7

Apply the pythagorean theorem to find b

a^2 + b^2 = c^2

(20.3)^2 + b^2 = (30.7)^2

412.09 + b^2 = 942.49

b^2 = 942.49-412.09

b^2 = 530.4

b = sqrt(530.4)

b = 23.0304146727757  value is approximate

b = 23.0

I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.

evaluate the expression 3 times 2 to the power of 2

Answers

Answer:12

Step-by-step explanation: 3x2 to the power of 2 will be 2x2x3= 12

Someone help me please

Answers

Answer:::::::

-6

-3

0

3

6

10. RECREATION In a game of kickball, Rickie has to kick the
ball through a semicircular goal to score. If m XZ = 58 and
the m XY = 122, at what angle must Rickie kick the ball to
score? Explain.

Answers

Answer:

The angle Rick must kick the ball to score is an angle between the lines BX and BZY which is less than or equal to 32°

Step-by-step explanation:

The given measures of the of the angle formed by the tangent to the given circle at X and the secant passing through the circle at Z and Y are;

[tex]m\widehat{XZ} = 58^{\circ}[/tex]

[tex]m\widehat{XY} = 122^{\circ}[/tex]

The direction Rick must kick the ball to score is therefore, between the lines BX and BXY

The angle between the lines BX and BXY = ∠XBZ = ∠XBY

The goal is an angle between [tex]m\widehat{XY}[/tex]

Let 'θ' represent the angle Rick must kick the ball to score

Therefore the angle Rick must kick the ball to score is an angle less than or equal to ∠XBZ = ∠XBY

By the Angle Outside the Circle Theorem, we have;

The angle formed outside the circle = (1/2) × The difference of the arcs intercepted by the tangent and the secant

[tex]\therefore \angle XBZ = \dfrac{1}{2} \times \left (m\widehat{XY} -m\widehat{XZ} \right)[/tex]

We get;

∠XBZ = (1/2) × (122° - 58°) = 32°

The angle Rick must kick the ball to score, θ = ∠XBZ ≤ 32°

Plz help with number 6 this is due today

Answers

y=5.3 I might be wrong but that’s what I got.
Nope you’re not wrong _ the solution have to be the highest

What is the SURFACE AREA of the 3D solid shown below? * 13 mm 14 mm 13 mm 12 mm 10 mm

Answers

Answer:

94640

Step-by-step explanation:

when you use a scientific calculator

Do you think two students who made no computation errors would get different values for this numerical expression> explain (4x35)+(36x8

Answers

Answer:

Yes, they would get different values

Step-by-step explanation:

Given

[tex](4 * 35) + (36 * 8)[/tex]

Required

Would there be different value for the expression?

From the question, we understand that both students made no computational errors. This doesn't mean that the students cannot make other errors.

For instance, the expression can be solved (wrongly) in the following ways;

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 140 + 36 * 8 \to 176 * 8 = 1408[/tex]

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 4 * 71 * 8 \to = 2272[/tex]

While the correct solution is:

[tex](4 * 35) + (36 * 8) \to 140 + 288 =428[/tex]

Hence, it is possible for two students to get different values

write -8, -3 and -24,1 in the simplest form

Answers

Answer:

they are already in simplest form

Step-by-step explanation:

they are whole numbers not decimals or fractions

Find the area.

A. 178.5 in2
B. 85 in2
C. 84 in2
D. 105 in2

***SHOW WORK***

Answers

Answer:

C) 84 in^2

Step-by-step explanation:

Find the area of each triangle, than add them together.

First, you'll need to find the height, illustrated by the dotted line. Since it is a right triangle use

[tex]a^{2} +b^{2} =c^{2} \\15^{2} +b^{2} =17^{2}\\b^{2}=17^{2}-15^{2}\\b=8[/tex]

Use this height for your area of each triangle

[tex]A=h\frac{b}{2} \\A=8\frac{15}{2} \\A=60\\\\\\A=8\frac{6}{2} \\A=24[/tex]

Now add both together 60+24

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