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 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

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

a DJ has a total of 1075

Answers

Yes. Very well. Where is the full question

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

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:

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

PLEASE ASAP QUICK THX​

Answers

Step-by-step explanation:

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

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

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

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

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

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

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.

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

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:

Simplify
hurry please !! :)

Answers

Answer:

4 square root of 5

Step-by-step explanation:

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

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.

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

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)

help please lol lol lol

Answers

Answer:

C

Step-by-step explanation:

Answer:

i think its C

Step-by-step explanation:

lol

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!

:)

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 !

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))

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 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

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

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]

Find the value of x.

Answers

You have to combine your liked terms first
Other Questions
how does reducing the temperature of chemical reaction affect the rate at which it occurs? What is a volcano? A. a tall mountain B. a chemical reaction that produces fire C. an atmospheric condition D. an opening in Earths crust Which one of these is an acronym? what is 8 5/6 x 15/20 Which statement is the most likely result of the passage of Title IXGroup of answer choicesFewer educational opportunities for women related to athletic scholarshipsLess opportunity for women in high school athletics but more in collegegreater advantage for women over men in getting athletic scholarshipsMore professional opportunities for women in athetics PLEASE HELP ME!! IM TAKING A FINAL AND HATE THESE TYPE OF QUESTIONS!! PLS HELP. 4. Which of the following represents a function?(8,3), (8,3), (-8, -3), (-8, -3)0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)O (3,9), (-7, 1), (6, 12), (-3, -9)O (5, 1), (5,2), (5, 3), (5, 4) Why did the Far West attract many freedmen?O A. They were looking for family members.B. There were more city jobs available.O C. It was a change from plantation life.O D. All of the above Pls solve this...need help thanks :) In humans type A blood is caused by the antigen A in the red cells resulting from gene A. Type B is caused by a gene B for antigen B. Type O blood results from the absence of either gene while the presence of both genes causes both antigens to be formed resulting in type AB blood. If a person of blood group AB marries one belonging to blood group O what will be the blood groups of their children? Show the Punnett square for this cross. The price level equals 4, the real GDP is $6 trillion in base-year dollars, and income velocity of money is 12. Then the money supply increases by $200 billion, while real GDP and income velocity of money remain unchanged. According to the quantity theory of money and prices, calculate the new price level after the increase in money supply Calculate the percentage increase in money supply Calculate the percentage change in the price level The percentage changes in the money supply is ______________ percentage changes in the price level. (pick one from below) less than the greater than the equal to the A block of ice has little thermal energy. If you place it in a warm room, it melts into warm liquid water, which has muchmore energy. Where did the energy to turn the ice into water come from?BIXFont SizesA- A -E Characters used: 0/15000Submit Who has the best health care system in the USA? this is a long question... modernize the following. using the following: places 1. Argos Colorado1. Sepherus Arizona2. Valley California3. Gorgons Lair Utah4. Thessaly Texas5. Tiryns New Mexicopeople: medusa-maryperseus-prestionadronima-anniedanea-dianapoledecties-peteracrisius-andrewhermes-harry:section 5 that need modernizied Section 5They came to Seriphus. No one knew Perseus; he heard his name spoken of as that ofa youth who had gone on a foolish quest and who would never again be heard of. Helearned that Polydectes had a new plan to marryand this time, he would marry Danae.He had walled her up in a temple.Perseus took Andromeda to the hut of Dictys, the shepherd, so she would be safe. ThenPerseus went to the temple and heard his mother's voice wailing: "Walled up here andgiven over to hunger, I shall be made go to Polydectes's house and become his wife. Oye gods, have ye no pity for Danae, the mother of Perseus?"Perseus cried aloud, and his mother heard his voice and her moans ceased. He turnedaround and he went to the palace of Polydectes, the king.The king received him with mockeries. "I will let you stay in Seriphus for a day," he said,"because I would have you attend a marriage feast. I have vowed that Danae, yourmother, will be my wife by to-morrow's sunset."So Polydectes said, and the lords and princes who were around him mocked Perseusand flattered the king. Perseus went from them then. The next day he came back to thepalace. But in his hands now there was a dreadful thingthe bag made from the hide ofthe sea monster that had in it the Gorgon's head.He saw his mother. She was brought in white and fainting, thinking that she would nowhave to wed the harsh and overbearing king. Then she saw her son, and hope came intoher face.The king seeing Perseus, said: "Step forward, O youngling, and see your mother wed toa mighty man. Step forward to witness a marriage, and then depart, for it is not right thata youth that makes promises and does not keep them should stay in a land that I ruleover. Step forward now, you with the empty hands."But not with empty hands did Perseus step forward. He shouted out: "I have broughtsomething to you at last, O kinga present to you and your mocking friends. But you, Omy mother, hide your face from what I have brought." Saying this Perseus drew out theGorgon's head. Holding it by the snaky locks he stood before the company. His motherturned away her face. But Polydectes and his insolent friends looked full upon whatPerseus showed. "This youth would try to frighten us with some magicians trick!" theyDiscovery Education Discovery Communications, LLC 5said. They said no more, for they became as stones, and as stone images they stillstand in that hall in Seriphus.Perseus went to Dictys the shepherd's hut, and he asked the kind shepherd to rule asking in his brothers place. Then with his wife, Andromeda, and his mother, Danae, hewent from Seriphus.He did not go to Argos, the country that his grandfather had ruled over, although thepeople there wanted Perseus to come and be their king. He took the kingdom of Tirynsin exchange for that of Argos, and there he ruled with Andromeda by his side.He gave the sickle-sword that had slain the Gorgon, and Medusa's head, back toHermes. That head Hermes's divine sister, Athena, goddess of wisdom, set upon hershield. O, may Athena guard us all! WiltingStimulus = _______________ Response = ____________________________________________ A not enough water or overwatered, plant stem and leaves are flaccid or droopy B excessive watering, plant cell vacuole shrinks C too much sunlight, roots grow downwards D too much light, plant leaves turn brown Help! What are the answers?!! I'll give a brainlist. "He's sweet just like choc'late candy, and just like honey from the bee" How does this figurative language convey Jessie's opinion of Harry? A. He is wonderful. B. He gives nice gifts. C. He looks nice but acts mean. D. He is irresistible but bad for her.The poem Is I'm just Wild about Harry Evaluate:5^-1 6^-1with explanation please!! What breaks down decaying organism? Beckenworth had cost of goods sold of $11,121 million, ending inventory of $3,789 million, and average inventory of $2,135 million. Its days' sales in inventory equals:________. (Use 365 days a year.)