On a​ team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. 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.

Each girl scored (BLANK) points.

Answers

Answer 1

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

hope this helps .


Related Questions

please help :,)) an explained answer would be nice but if not that's ok :)

Answers

Answer:

3.75

Step-by-step explanation:

First we need to get the numbers into decimal form

3/4 can be written into 75

So the mittens weighed 2.75

So we subtract 6.5 and 2.75

Which is 3.75

So the mitten gained 3.75 pounds

Hope this helps!

Answer:

3.75

Step-by-step explanation:

Subtract to find the difference

2 3/4 is 2.75 as a decimal

6.5 - 2.75 = 3.75

Check the answer

2.75 + 3.75 = 6.5

So u can see Mittens gained 3.75 pounds between the time he was a kitten and his 6-month check up.

How do u solve this?

Answers

Answer:

first you need a problem to solve.

Step-by-step explanation:

what is the question here?

A bag of mixed nuts contains cashews, pistachios, and almonds. There are 4000 total nuts in the
bag, and there are 400 fewer almonds than pistachios. Cashews weigh 2 g, pistachios weigh 3 g, and almonds weigh 5 g. If the bag weighs 9.7 kg, find out how many of each type of nut is in the bag.
Cashews:
Pistachios:
Almonds:

Answers

Answer :

Cashews : 2950

Pistachios : 725

Almonds : 325

( credits to FB person : Moni )

6w+8+4w-3=_w
What’s the awsner

Answers

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.


Consider a group of 800 newborn babies:


1. How many would you expect to weigh between 3 and 8 pounds?


2. How many would you expect to weigh less than 6 pounds?


3. How many would you expect to weigh more than 5 pounds?


4. How many would you expect to weigh between 5.5 and 9 pounds?

Please help and STEP BY STEP PLZ.

Answers

Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule

X = 5.5 + 1.6 Z

or

Z = (X - 5.5)/1.6

then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.

1.

Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]

… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]

… ≈ 0.8818

Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.

2.

Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]

… = Pr[Z ≤ 0.3125]

… ≈ 0.6227

Out of 800 babies, around 498 will weigh less than 6 pounds.

3.

Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]

… = Pr[Z > -0.3125]

… ≈ 0.6227

same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.

4.

Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]

… = Pr[0 ≤ Z ≤ 2.1875]

… ≈ 0.4857

Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.

746 divided by 40 with remainder

Answers

It would be 18.65 with a remainder of 1

Answer:

Quotient: 18; Remainder: 26

Step-by-step explanation:

Please open the PDF file for work.

Hoped this helped.

[tex]GeniusUser[/tex]

A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card

Answers

Answer:

so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%

Hope This Helps!!!

In a randomly generated list of numbers from 0 to 4, the chance that each
number can occur is 1/5? True or false

Answers

true. you can get 5 digits. 0, 1, 2, 3, 4, or a 5.

Which statement is true about the value of 1-5/?
O It is the distance that -5 is from 0 on the number line.
O It is the distance that -5 is from 5 on the number line.
O It is less than 5.
0 It is greater than 5.

Answers

Answer:

O It is less than 5.

Step-by-Step

OK so, first u check if it has a negative. It does, so its at the left of 0. SO you know its less than.

If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answers

Answer:

17 and a half days OR 18 days

Step-by-step explanation:

7 books : 8 days

20 books: x days

cross multiply

x = (8×20)÷ 7

x = 17.5

therefore

17 and a half days or 18 days

Solve by factoring
5x2-8=-6x

Answers

Answer:

x= 4/5 or x = -2

Step-by-step explanation:

Step 1: Subtract -6x from both sides.

5x^2 -8 - -6x = -6x -6x

5x^2 + 6x - 8 = 0

Step 2: Factor left side of equation.

(5x - 4) (x + 2) = 0

Step 3: Set factors equal to 0.

5x - 4 = 0 or x + 2 = 0

Hense the Answer is x= 4/5 or x = -2

Please help me as soon as possible.

Answers

[tex]\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill[/tex]

whats -6-10k if k=-1​

Answers

Answer:

The answer would be 4

Step-by-step explanation:

Calculate it

Answer:

4 is the answer.

Step-by-step explanation:

-6 - 10k

=> -6 - 10(-1)

=> -6 + 10

=> 4

Therefore, 4 is the answer.

Hoped this helped.

The Greens are moving. Their real estate agent located 79 houses listed for sale in their price range. Of those bouses listed for sale: 49 had a finished basement. 56 had a three car garage. 37 had a finished basement. How many had a finished bsement but not a three car garage?

Answers

I think 5 steps is right I hope it help if it is not right I am sorry

Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone and accessories. Enter your answer in the box.

Answers

Answer:

495-75=m m=420

Step-by-step explanation:

He needs to save 495 dollars, and hes already saved 75

and needs to find out how much more he needs to save to have 495 dollars

To do this, take 495 and subtract 75. This is how we get the inequality

495-75=m

From here it is simple, just subtract 75 from 495 to get 420

Write 0.511 as a fraction.

Answers

Answer:

511 / 1000

Step-by-step explanation:

0.511 = 511 / 1000

Answer:

511/1000

Step-by-step explanation:

Steps to convert 0.511 into a fraction:  

Write 0.511 as 0.511/1

For each digit following the decimal point, multiply both the numerator and denominator by ten:

0.511/1

          = 0.511 * 1000/ 1 * 1000 = 511/1000

As an aside, the entire number-integral section is: blank.

The decimal component is as follows: 0.511 = 511/1000

The following is the complete breakdown of simple fractions: 511/1000

 

Multiply the two fractions. Simplify your answer. 1/2 x 4/7

Answers

Answer:

2/7

Step-by-step explanation:

The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].

Given that,

Multiply the two fractions,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

Used the concept of multiplication which states that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, simplify the fractions by multiplying,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

[tex]\dfrac{4}{14}[/tex]

Simplify for the simplest form,

[tex]\dfrac{2}{7}[/tex]

So, the solution is [tex]\dfrac{2}{7}[/tex].

To learn more about multiplication visit:

https://brainly.com/question/10873737

#SPJ6

find the mean of 100​

Answers

Answer:

100.

Step-by-step explanation:

100 + 0 = 100

100 ÷ 1 = 100

The answer is 100 explanation=

a playground is 750 M long and 250 m broad find the cost of levelling at rupees 16 per 100 square metres​

Answers

Answer:

Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000 

The segments shown below could form a triangle.
A. True
B. False

Answers

False

When completing something like this, the Phythagoream Therom comes into focus. It states that:

A^2 + B^2 = C^2

According to my calculations, A^2 + B^2 = 130 whereas C^2 is 320. This is incorrect and therefore is false.

what is
The lines shown below are parallel. If the green line has a slope of -3/7
the slope of the red line?

Answers

if the lines were parallel they would have the same slope. if the lines were perpendicular then the slope would be the negative reciprocal slope. The answer to your question would be -3/7.

Is 111111 divisible by 37?

Answers

Answer:

Yes

Step-by-step explanation:

3003 woooow

Answer:

yes

Step-by-step explanation:

A is divisible by  B, if after dividing them, A ÷ B, the remainder is zero.

Please help me ASAPPPPP

Answers

Answer:

20 0-6

Step-by-step explanation:

x= (2,0)

y= (0,-6)


On a game show, a contestant wins $200 by answering questions correctly but loses $300 for
each question answered incorrectly. How much money would a contestant win if she
answered 14 questions correct and I question incorrect?

Answers

Answer:

$2500

Step-by-step explanation:

$200×14=$2800

$2800-$300=$2500

Extended Problems, Extraneous Solutions
I need help asap please, this is due in 1 day!
100 POINTS

Answers

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

1.

[tex](x + 2 = \sqrt{3x + 10} [/tex]

Square both sides

[tex](x + 2) {}^{2} = 3x + 10[/tex]

Remeber perfect square Rule

[tex](x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2} [/tex]

So now we got

[tex]x {}^{2} + 4x + 4 = 3x + 10[/tex]

[tex] {x}^{2} + x + 4 = 10[/tex]

[tex] {x}^{2} + x - 6 = 0[/tex]

Factor into binomial.

[tex](x + 3)(x - 2) = 0[/tex]

So our solution is 3 or 2. However, let's check our work.

[tex] - 3 + 2 = \sqrt{3( - 3) + 10} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

[tex]2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4[/tex]

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.


Need help please asap

Answers

Answer:

A=√26

-

2

Step-by-step explanation:

thank me later bye

Nora sold a dozen roses in eAch of the 1,000 sales 6 months ago. How many roses did she sale

Answers

Nora sold 12,000 roses

A washer and a dryer cost $686 combined.The washer cost $64 less than the dryer.What is the cost of the dryer?

Answers

Answer:

Step-by-step explanation:

375

Step-by-step explanation:

the washer cost is 311 the dryer 375

Andre draws a tape diagram for 3÷2/3

Andre says that 3÷2/3= 4 1/3 because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre? Explain your reasoning

Answers

Answer:

No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3

3 ÷ 2/3

= 3 × 3/2

= 9/2

= 4 1/2

Therefore, 3 divided by 2/3 is 4 1/2

Andre's reasoning is wrong.

Step-by-step explanation:

It is incorrect

Let's divide and compare the sum

3 : 2/3 = 3*3/2 = 9/2 = 4 1/2

and

There are four 2/3 fractions and one 1/3 fraction

The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2

simplest form of 45/120

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 120 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

120 ÷ 15

Reduced fraction:

3

8

Therefore, 45/120 simplified to lowest terms is 3/8.

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