A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
g + a = 24. g + 2 a = 42.
g + a = 24. 2 g + a = 42.
g + a = 42. g + 2 a = 24.
g + a = 42. 2 g + a = 24.

Answers

Answer 1

Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation:

Each goal gets 2 points and each assist gets 1 point

If # of goals = g , and you get 2 points for each goal, then points acquired by goals can be represented by 2g

If # of assists = a, and you get 1 point for each assist, then points acquired by assists can be represented by a

The total # of points the player had was 42. This means that 2g + a = 42 (this is the first equation)

We are also told the player scored a total of 24 goals and assists. If g = # of goals and a = of assists, then g + a = 24 (this is the second equations)

So the two equations are g + a = 24. 2 g + a = 42.

Answer 2

Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation

trust


Related Questions

Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?

Answers

Answer:

the answer is k= -12

Step-by-step explanation:

use x-5= 0

x=5

The number 3 represents of the class.

Answers

Answer:

WE CANT ANSWER WITH THAT LITTLE OF INFORMATION

A farmer has an equal number of horses in 4 different fields on his farm. Which choice could be the total
number of horses?

205
232
253
289

Answers

Answer:

B -- 232

Step-by-step explanation:

because you can divide 232 by 4 and get a whole number.

Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.

Answers

Answer:

C

Step-by-step explanation:

d / rate = time

d / 90  + d/60  = 6 hours

(2d+ 3d)/180 = 6

5d = 1080

d = 216 miles

The distance from NYC to Boston is 216 miles.

We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.

We have to determine distance between NYC and Boston.

What is the formula to calculate the distance travelled by the body moving with speed ' v mph '  for  ' t hours '.

The distance covered by the body will be -

d = v x t

According to question, we have -

Assume that the distance travelled by Steve from NYC to Boston be x.

Then, total distance covered for the round trip = 2x.

From NYC to Boston -

Suppose that in going from NYC to Boston, Steve takes t hours. Then

x =  90 x t            (1)

From Boston to NYC -

Steve will take (6 - t) hours to travel the distance. Then -

x = 60 x (6 - t)         (2)

Now, Equating the equations (1) and (2), we get -

90 x t = 60 x (6 - t)

1.5t = 6 - t

1.5t + t = 6

2.5 t = 6

t = [tex]\frac{12}{5}[/tex] = 2.4 hours

Therefore -

x = 90 x 2.4 = 216 miles

Hence, the distance from NYC to Boston is 216 miles.

To solve more questions on Speed, time and Distance visit the link below -

https://brainly.com/question/24999473

#SPJ2

If the point (-4,b) is on the line what is the value of b

Answers

Answer: if you are talking about a grid than the answer is 0.

Step-by-step explanation: this is becasuse the y coordinate is the elevation of the x coordinate. B is 0 because it is on the line meaning it has no elevation

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.

Answers

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

What are the coordinates of vertex for a quadratic function?

For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:

[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]

For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)

Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:

[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]

Thus, the coordinates of vertex of  [tex]y = ax^2 + bx + c[/tex] is:

[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]

The missing steps of work of Jan'ai are:

Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) =  -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.

[tex]y = 5x^2-20x-25[/tex]

[tex]y = 5(-2)^2-20(-2)-25[/tex]

[tex]y = 35[/tex]

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],

Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

https://brainly.com/question/9912128

Answer:

The answer is D on edge

Step-by-step explanation:

. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?

Answers

Step-by-step explanation:

the formula is distance/time

since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer

please help its geometry. Solve for x

Answers

Answer

the answer is x = 9 root 3

Match the following, cylinder rectangular prism cone triangular prism square prism

Answers

Surface Area of following shapes

Cylinder = 2πrh + 2πr²

where "h" - height, "r" - radius

Rectangular Prism = 2lw + 2lh + 2wh    also      2B + Ph

"l" - length, "w" - width, "h" - height

Cone = πrl + πr²

"l" - slant height, "r" - radius

Triangular Prism = 2B + Ph

"B" - area of one base, "P" - perimeter of base, "h" - height

Square Pyramid = 2l l + l²

"l " is height, "l" is side length

A triangle has sides of length 6 8 and 10. Do the sides form A Pythagorean triple? Explain

Answers

6*6=36 + 8*8=64
36+64 and 10*10 =100
B is correct

I need help with these 2 problems Please and thank you :)

Answers

Answer:

the answer for the first is 3/4

and the answer for the second is 2x/x+5

PLEASE HELPP ITS DUE IN A HOUR


Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.

The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.

Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches

Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.

Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture​

Answers

Answer:

what happening to you

please answer your very

Which polynomial represents the area of the rectangle?
44-6
x +1
O 4x2 - 2x - 6
O 4.2 - 6
O 4.c+ 2x - 6
0422 - 10.2 - 6

Answers

Answer:

4x2 - 2x - 6

LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.

Answers

Answer: 7 cm

Step-by-step explanation:

pls helppppppppppppp​

Answers

So I will be giving you the formula

[tex]a^{2} +b^{2} =c^{2}[/tex]

This [tex]c^{2}[/tex] is the hypothenuse which is opposite to 90 degrees

ill start from B

so [tex]a^{2}[/tex] and [tex]b^{2}[/tex] can be any side except the side opposite to 90 degrees it shouldn't change.

Answer for B with steps:

=> [tex]11^{2} +13^{2} =c^{2}[/tex]

=>simplify [tex]290=c^{2}[/tex]

=> get square root using your calculator [tex]\sqrt{290} =\sqrt{c^{2}[/tex]

=>the answer to B is 17.0 which is just 17

Answer for C

=>[tex]7^{2} +x^{2} =12^{2}[/tex]

=>[tex]49+x^{2} = 144[/tex]

=> subtract 49 on both sides 95 so its [tex]x^{2} = 95[/tex]

=> take square root [tex]\sqrt{x} ^{2} = \sqrt{95}[/tex]

=> Its 9.7

For the rest of the hard questions you have to know whats width is and height and the properties of rectangles they are very easy

As long as you understand the concept-

follow the steps I provided.

plss help me noww if you can

Answers

Answer:

i cant see the picture at all

Step-by-step explanation:

What is 7 less than y
In math

Answers

Answer:

The algebraic expression is "y - 7".

Step-by-step explanation:

"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".

Answer:

y-7

Solution:7 less means we subtract 7.Therefore, the expression "7 less than y" looks like so:y-7So we take a number y and subtract 7 from it.

Hope it helps.

Do comment if you have any query.

Mary sells fruit with four of her friends. If the earnings are divided evenly, how
much must the business make in order for each person to earn $30?
What is the variable for this problem?
A. friends
ООО
B. profit ratio
C. expenditures
D. total earnings
E, fruit

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let the total money earned be x

since each of them get equal share, therefore :

[tex]\qquad \tt \dashrightarrow \:5 \times 30 = x[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \$150[/tex]

And here, we used Total earning as the variable in the problem ~

So, correct choice is D

Total persons including Mary=4+1=5

Earnings per person =$30

Total earnings

5(30)150$

Option D

How many members did not vote for the art club the percent is 75% and there are 60 people?

Answers

Answer:

45 people

Step-by-step explanation:

Find what 1/4 (25%) of 60 is by dividing it by 4.

You get 15, then multiply that (25%) by 3 to get 75%.

15x3 = 45

45 is your answer.

Number of members who voted
75 / 100 × 60 = 45 members

Number of members who did not vote

60 - 45 = 15 members

Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.

Answers

Answer:

k>1 1/3

Step-by-step explanation:

i have rsm too bro

The given equation has no solution when K is any real number  and k>12

We have given that

3x^2−4x+k=0

△=b^2−4ac=k^2−4(3)(12)=k^2−144.

What is the condition for a solution?

If Δ=0, it has 1 real solution,

Δ<0 it has no real solution,

Δ>0 it has 2 real solutions.

We get,

Δ=k^2−144 here Δ is not zero.

It is either >0 or <0

Δ<0 it has no real solution,

Therefore the given equation has no solution when K is any real number.

To learn more about the solution visit:

https://brainly.com/question/1397278

hurry !!! not much time left

Answers

The correct answer would be:

-10x + y = 4

10x - y = -4

Marla is making a tree skirt out of fabric. She is using a pattern based on the circle below. Marla will need to remove a sector of the circular fabric. The sector has a central angle of 60° and the radius of the circle is 3 feet.

Answers

Answer:

The area of sector is 4.71mi^2

Step-by-step explanation:

The area of the sector that Marla needs to remove is (3/2)π square feet.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.

We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.

Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.

We are given that;

Central angle = 60°

The radius of the circle = 3 feet.

Now,

To find the area of the sector that Marla needs to remove, we can use the formula:

A = (θ/360)πr^2

where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).

Plugging in the values we know, we get:

A = (60/360)π(3)^2 A

= (1/6)π(9) A

= (3/2)π

Therefore, the area of the fabric will be (3/2)π square feet.

Learn more about surface area here:

https://brainly.com/question/15096475

#SPJ3

What is a radian?



A) an angle measure with an arc length equal to one radius length

B) an angle measure with an arc length equal to one diameter length

C) an arc length that is the length of one diameter

D) a radius that is 3.14 inches long

Answers

Answer:

The answer is A

Step-by-step explanation:

An angle measure with an arc length equal to one radius length.

Given,

Radian.

Here,

Radian : An angle measure with an arc length equal to one radius length.

Radian is a measure of angle .

Degree measurements can be converted into radians.

For example,

30° = 30° × π/180°

30° = π/6

Thus radians can be converted into degrees by vice versa .

Know more about radians,

https://brainly.com/question/30398954

#SPJ2

Find the distance between the points

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]

Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?

Answers

Answer:

67.85 kph

Step-by-step explanation:

Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85

Which type of function best models the data in the table?
A. linear
B. exponential
C. quadratic
D. inverse variation

Answers

Answer: Your answer is indeed D. Inverse variation.

Hope this helped!

Answer:

first question:

inverse variation

second question:

for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.

Step-by-step explanation:

hope this helps!! have an amazing day <3

Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

inactivity fee

Step-by-step explanation:

Find the mean absolute deviation of the data below:

7,4,7,7,2,10,12,8,7,5

Answers

mean formula number of values divided by the total of all the values

so

100 divided by 10

ans 10


Please help me please

Answers

Answer: x is 125

Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.

Please answer quick its due soon!!

Answers

Answer:

50000000 HAIII OK YA IS WRONG BYY GL

Step-by-step explanation:

Answer/Step-by-step explanation:

A. constant rate is y = 2x

(Since it goes up by 2 and over one)

B. unit rate is 2 dollars per pound

C. y = 2 (10)

y = 20

$20 per 10 pounds of pears

Hope this helps :)

Other Questions
What is the area, in square meters, of the shaded part of the rectangle shown below? Which is not a major insect body segment? multiplication problem What is the median of the data represented by the box plot?A number line ranging from 0 to 143.75 with a box encompassing the numbers 12.5, 20, and 65.Enter your answer in the box. pls help!!! Three resistors are arranged in parallel with a voltage source. The values are 2 , 5 , and 7 . Which branch will have the MOST current? Should legislation and enforcement efforts focus on the gun or on the individual? Find the solutions to x2 = 12.The answer is B~ c=+2{3} The first excited state of Ca is reached by absorption of 422.7 nm light. Find the energy difference (kJ/mole) between the ground and first excited state. Watch your units. A. 2.83 x 10-7 B. 4.70 x 10-22 C. 283 D. 4.70 x 10-19 E. 457 Dr. Navarre investigates the link between coping strategies and immune system functioning during stressful situations. Dr. Navarre is BEST described as a: What process describes how pollen is produced and moved during plant reproduction? F(x)=3x^4-2x^3-12x^2-x; k=4 Using your textbook, describe the historical context or the historical period, that produced the Gettysburg Address. Solve for x as well as rounding to nearest tenth please 2 ft.4 ft.What is the perimeter? If necessary, round to the nearest tenth. Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 i).a = and b = A spaceship moves at a constant velocity of 0.400c relative to an Earth observer. The pilot of the spaceship is holding a rod, which he measures to be 1.00 m long. The rod is held perpendicular to the direction of motion of the spaceship. How long is the rod according to the Earth observer Find SU, TU, and ST. Summer in the Siberian _____ lasts only two months. A spinner is divided into 5 sections of equal area, with numbers 1, 3, 5, 7, and 9 in it. What is the probability of the spinner landing on 7? find 60% of 40 gallons.