On a​ team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Answers

Answer 1

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a​ team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points


Related Questions

A fair, six-sided dice is thrown twice.
What is the probability that a 1 is thrown on both occasions?

Answers

Answer. 1/36

Step-by-step explanation:

1/6 chance 6 sides 6^2 cause gotta hit 1 twice so 6 Squared is 36 so 1 in 36 chance

HELPPPPPPPPPPPPPPPPPPPPPPP T^T PLEASE ANSWER!!!!

Answers

Answer:

7 miles per hour.

Step-by-step explanation:

Right now, the relationship in the problem represents 3[tex]\frac{1}{2}[/tex] miles in  hours. To find out what the unit rate is (number of miles per mile), we need to multiply both sides of the equation show BeLoW:

3[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

7 miles = 1 hour

Therefore, Doug's average speed in miles per hour is 7 (7 miles per hour).

:3))

Simplify
hurry please !! :)

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Answer:

4 square root of 5

Step-by-step explanation:

Reba used 12 centimeters of tape to wrap 3 presents.How much tape will Reba need in all if she has wrap 6 presents?

Answers

Answer:

24

Step-by-step explanation: We have to find out how much centimeters of tape we need to wrap one present, so you have to divide 12 by 3=4

so you need 4 centimeters of tape to wrap one present. Now we have to find out how much tape we need for 6 presents, so we do 4x6=24.

PLEASE HELP ME WITH THIS!

Answers

Answer:

B

Step-by-step explanation:

You use FOIL (first, inner, outer, last). You then see what answer would get 47x for the middle...

(x-6)(8x+1) is the only one that gets 47x.

Then finish solving (x-6)(8x+1)  to get 8x - 47x - 6

a DJ has a total of 1075

Answers

Yes. Very well. Where is the full question

Help Please <3
Brainly!!!

Answers

Answer:

I think question 11 is 115?

Step-by-step explanation: Tell me if im wrong

Answer:

352 for number 10

Step-by-step explanation:

PLEASE ASAP QUICK THX​

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Step-by-step explanation:

[tex] \bf \huge \red{Answer:-}[/tex]

If a recipe calls for 2 tablespoons of fresh parsley and you only have dried parsley on
hand, how much parsley should you use?

Answers

Answer:

2.666

Step-by-step explanation:

Just use a third the amount your recipe calls for if you're swapping dried herbs for fresh.

In sixth grade at Elk Grove Middle School, there are 6 girls for every 5 boys..
If there are 35 boys in sixth grade, how many sixth-grade students are there altogether?
sixth-grade students

Questions

Answers

Answer: 77 students

Step-by-step explanation:

Which statement accurately describes the vector shown?

magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 11 EndRoot and direction angle equal to approximately 50°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 40°
magnitude of StartRoot 61 EndRoot and direction angle equal to approximately 50°

Answers

Answer:

The magnitude is definitely sqrt 61

Step-by-step explanation:

I am unsure how to mathematically solve for the direction angle but my educated guess would be C magnitude of sqrt 61 and direction angle equal to approximately 40° because the vector is below halfway of the 90 degree angle.

The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

From the graph, we can see that the coordinate points of the vector that is given as (0, 0) and (5, 6)

Let a be the vector.

Then the magnitude of the vector will be

[tex]\rm \overrightarrow{a} =\sqrt{(6-0)^2 + (5-0)^2 } \\\\\overrightarrow{a} =\sqrt{6^2 + 5^2 }\\\\\overrightarrow{a} =\sqrt{36 + 25}\\\\\overrightarrow{a} =\sqrt{61}[/tex]

The direction will be

[tex]\rm \theta = tan^{-1} \dfrac{5}{6}\\\\\theta = tan^{-1} 0.833\\\\\theta = 39.80 \approx 40^o[/tex]

The magnitude and the direction of vector a are √61 and 40°. Then the correct option is C.

More about the vector link is given below.

https://brainly.com/question/13188123

On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?

Answers

Answer:

plz make it brainlisted

Step-by-step explanation:

Since the total is 300 and the ratio is 4:1,

Let us suppose the number of adults be 4x and children be x;

According to the question,

4x+x=300

or,5x=300

or,x=(300/5)

or,x=60

So, 60 students attended the show.

Answer:

75

Step-by-step explanation:

4:1 children meaning 1/4 of the population of 300 is 75

How i do this and please give me answer too

Answers

3/4 is your answer luv !

Evaluate y = 2x + 1 when x= -1

Answers

y = 2x + 1
y = 2(-1) + 1
y= -2 + 1
y= -1

Answer:

y = -1

Step-by-step explanation:

We Know:

y = 2x + 1, and x= -1.

Substitute:

y = 2(-1) + 1

Multiply:

2 * -1 = -2

y = -2 + 1

Add:

-2 + 1 = -1

So,

y = -1.

What is the value of r in the equation −43r−1=−2 ?

Answers

Answer:

r = 1/43

-43r = -2 + 1

43r = -1

r = -1/-43

r=1/43

Middle School has 700 students. 70% of its students are remote
learners. How many students are remote learners?

Answers

Answer:

490 students are remote learners

Step-by-step explanation:

Answer:

490

Step-by-step explanation:

hope this helps

have a nice day!

:)

The area of a rectangle is 36 square meters. If the length of the rectangle is 3, what is the width?

Answers

Answer:

12

Step-by-step explanation:

Answer:12

Step-by-step explanation:36 / 3

pls help!!

and pls explain as well, thank you!

Answers

2) triangle FSH and DOG are congruent by ASA because they have two congruent angles and a congruent side in the middle which is where the included side is.

3)CAF and GDZ are congruent by AAS because the two angles are congruent but the congruent side is not in the included side. The other triangle follows the ASA congruence theorem not the AAS one.

(Sorry of this sounds confusing)

The product of a number and -7 is greater than 42

Answers

-7x > 42
divide by -7
x < -6

Answer:

-7*x>42

Step-by-step explanation:

-7 times any negative number greater than 6 is equal to more than 42

A dog eats 7 oz. Of dog food in 20 minutes. At this rate, how much food can the dog eat in 2 hours?​

Answers

Answer:

bts

Step-by-step explanation:

BTSSS SSSSSSSTU6T

The dog can eat 42 oz. in 2 hours. You simply find the hourly rate, which is 21 and multiply it by 2

A drawing has a scale of 1:40 on the drawing a bedroom is a rectangle measuring 10 cm x 18 cm a kitchen has an actual area of 300,000 cm² which has the bigger actual area of the kitchen or the bedroom

Answers

Answer:

The kitchen has a bigger actual area than the bedroom

Step-by-step explanation:

Here, we want to know the compartment with the bigger area

Since the bedroom has a drawing measure of 1 to 40; compared to the actual measurement;

The real dimensions will be;

10 * 40 and 18 * 40

= 400 by 720

So, its area which is length * width will be;

400 cm * 720 cm = 288,000 cm^2

we can see that the kitchen with an area of 300,000 cm^2 is bigger than this area of the bedroom

Find the value of x.

Answers

You have to combine your liked terms first

hey please help me with the answer​

Answers

The answer would be 6 because when you plug it in it becomes 3+7-4 which is 6

Select the correct answer from the each drop-down menu. if 0

Answers

Answer:

You didn't provide a image of the problem how am I suppose to help you

Help me solve this equation and show work

11d + 17b = 95
d + b = 7

Answers

Answer:

{d,b}={4,3}

Step-by-step explanation:

[1]    11d + 17b = 95

  [2]    d + b = 7

Graphic Representation of the Equations :

   17b + 11d = 95        b + d = 7  

 

Solve by Substitution :

// Solve equation [2] for the variable  b

 [2]    b = -d + 7

// Plug this in for variable  b  in equation [1]

  [1]    11d + 17•(-d +7) = 95

  [1]    -6d = -24

// Solve equation [1] for the variable  d

  [1]    6d = 24

  [1]    d = 4

// By now we know this much :

   d = 4

   b = -d+7

// Use the  d  value to solve for  b

   b = -(4)+7 = 3

Solution :

{d,b} = {4,3}

Answer:

B = 3

d = 4

Step-by-step explanation:

You can use elimination method. Multiply (d + b = 7) by -11.

11d + 17b = 95

-11d - 11b = -77

add together. D’s will cancel

6b = 18

divide by 6

b = 3

plug in 3 for b in the equation of your choice

d + (3) = 7

subtract 3

d = 4

Pleaseeeeeeee!!!!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

2x10=20

2+10=12

20-12=8

10 is 8 more than 2

help please lol lol lol

Answers

Answer:

C

Step-by-step explanation:

Answer:

i think its C

Step-by-step explanation:

lol

What is$$\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}?$$

Answers

Answer:

[tex]\frac{39}{70}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}[/tex] we are to find the value of x as shown below;

[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}\\= \dfrac{\dfrac{6-5}{30} }{\dfrac{4+3}{12} } + \dfrac{1}{2}\\\\= \dfrac{\dfrac{1}{30} }{\dfrac{7}{12} } + \dfrac{1}{2} \\\\= \frac{1}{30} * \frac{12}{7} + \frac{1}{2}\\\\= \frac{2}{35} + \frac{1}{2} \\\\= \frac{4+35}{70} \\\\= \frac{39}{70}[/tex]

What is the probability of rolling a 3? ASAP!!!!

Answers

Answer:

im sure its [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

hope it helps and Merry Christmas xx

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Proabability = favorable outcomes / total outcomes

A die has a total of 6 possible outcomes: 1 to 6

You want to roll a 3, so the number of favourable outcomes is 1.

[tex]\therefore[/tex] P(3) = [tex]\frac{1}{6}[/tex]

Hope this helps :)

What is m<XYZ? I don't know how to solve

Answers

Answer:

<XYZ = 83

Step-by-step explanation:

we can see that the line XY is tangent to point Y

we can also the see that <XYZ intersects the line that forms arc 166

when a tangent line intersect the line that forms an arc, the angle formed by the tangent will be equal to half of the arc

so in other words angle XYZ is 0.5 of Arc 166

so <XYZ = 83

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