Mathematics High School

On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)

Answers

Answer 1

Answer:

Each girl scored 9 points

Each boy scored 7 points

Step-by-step explanation:

Let the number of points each girl scored = a

Let the number of points each boy scored = b

7 girls and 6 boys scored a total of 105 points.

7a + 6b = 105......... Equation 1

The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21

7a - 6b = 21........... Equation 2

7a + 6b = 105......... Equation 1

7a - 6b = 21........... Equation 2

Subtract Equation 2 from Equation 1

12b = 84

b = 84/12

b = 7

Therefore, each boy scored 7 points

7a + 6b = 105......... Equation 1

b = 7

7a+ 6b = 105

7a + 6(7) = 105

7a + 42 = 105

7a = 105 - 42

7a = 63

a = 63/7

a = 9

Therefore, each girl scored 9 points.

Related Questions

XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.

Answers

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

are the terms 2x^3 and 2yx^2 like terms

Answers

No. If you organize them into: 2x^3 and 2xy^2, you see they look like they have the same base but they don’t have the same exponents nor the variables.

No it is not because it has an extra letter. That makes them not like terms 2x and 4x would be like terms. But when you add the next letter, it makes them unalike.

-4( -3 )+ (6-2)/64 = ?

Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.

?
Save
nswer
estions
Not Graded
ws
SpiR
creen
50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (-4,-3).
Split
creen
250 character(s) left
AO
Save
Unit
burces
Not Graded
42
nter
endly
Type here to search
O
I

Answers

Answer:

x+2y=-8

Step-by-step explanation:

Slope of given line = 2

Slope of the perpendicular line = -1/2

Equation of perpendicular line is (y-y1)=m(x-x1)

y-(-3)=-1/2(x-(-4))

y+3=-1/2(x+4)

2y+6=-x-2

x+2y=-8

0.05 is 1/10 value of what number

Answers

Answer:

1/2=x

0.5

Step-by-step explanation:

x will be the number

5/100=(1/10)x

5/10=x

1/2=x

1/2=0.5

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answers

Answer:

ok u need to list the numbers in the journal

Step-by-step explanation:

Given m 1= 65, find the measure of each missing angle.Givd your reasoning

Answers

Answer:

Step-by-step explanation:

Given:

m∠1 = 65°

Since. ∠1 and ∠2 are the angles of linear pair,

m∠1 + m∠2 = 180°

65° + m∠2 = 180°

m∠2 = 115°

m∠1 = m∠3 [Vertical angles]

m∠3 = 115°

Since, ∠1 and ∠4 is the linear pair of angles,

m∠1 + m∠4 = 180°

65° + m∠4 = 180°

m∠4 = 180 - 65 = 115°

m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]

115° + m∠5 = 180°

m∠5 = 180° - 115° = 65°

m∠5 + m∠6 = 180° [Linear pair of angles]

65° + m∠6 = 180°

m∠6 = 115°

m∠5 = m∠7 [Vertical angles]

m∠5 = m∠7 = 65°

m∠6 = m∠8 [Vertical angles]

m∠6 = m∠8 = 115°

that doesn't give the answer

Answers

Answer:

what doesnt give the answer??

Step-by-step explanation:

A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?

Answers

the average speed is about 40

Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.

Answers

Answer: Well I believe the answer is Y= x - 55

Step-by-step explanation:Hope that works :)

Evaluate
p
+
(
−
q
)
−
2
p

Answers

Can you put it more bettet in the comments!

Solve proportion 2/4.5=t/0.5

Answers

0.2 or 2/9 in fraction form I believe.

How do I solve |x-1|-1.4 = 6.2

Answers

Answer:

x1= -6.6 x2= 8.6

Step-by-step explanation:

Answer:

x1= -6.6, x2= 8.6

Step-by-step explanation:

|x-1|-1.4=6.2

|x-1|=6.2+1.4

|x-1|= 7.6

x-1=7.6 or x-1= -7.6

x= 8.6 and x= -6.6

plz plz plz help me quick i got 10 mins

Answers

Answer:

y=x+6

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 30

2. 0.83333333

3. 1.2

4. 30

Step-by-step explanation:

H is the only reasinable decimal

A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?

Answers

Answer:

The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.

Step-by-step explanation:

According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:

[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)

Where:

[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.

[tex]f[/tex] - Kinetic friction force, mesured in newtons.

From (Eq. 1), we get that horizontal force is:

[tex]P = f[/tex]

On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:

[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)

Where:

[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.

[tex]W[/tex] - Weight of the bag, measured in newtons.

Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):

[tex]P = \mu_{k}\cdot W[/tex]

If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:

[tex]P =0.2\cdot (80\,N)[/tex]

[tex]P = 16\,N[/tex]

The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.

Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6

Answers

Answer:

x = 6

Step-by-step explanation:

4 − 2(2x − 7) = −6.

Distribute

4 -4x +14 = -6

Combine like terms

18-4x = -6

Subtract 18 from each side

18 -4x-18 = -6-18

-4x = -24

Divide each side by -4

-4x/-4 = -24/-4

x = 6

what's 4 divided by 5 as a fraction

Answers

Answer:

four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths

Multiply. Enter the product in simplest form.
2/7 x 4/5

Answers

The answer is 8/35 ;)

Tony drove 792 miles in 11 hours at the same rate how many miles would he drive in 13 hours

Answers

Answer:

936 miles in 13 hours.

Step-by-step explanation:

if you divide 792 by 11 you get 72, which is the unit rate. You multiply that by thirteen and it is the answer 936.

Answer:

936 miles

Step-by-step explanation:

Could someone show me how to do this?

Answers

Step-by-step explanation:

b - no:of students on bus

V - " " on van

so the eqtn is

12v+10b=698

14v+2b=244

so when you solve these two eqtns you get

V=9

b=59

Find the equation of the line.

Y=__x + __

Answers

to find the slope (m), count how many units vertically and horizontally it takes to get from any one point to the other (rise/run)

i’ll use (0,-6) and (-4,-5)
it takes 1 vertical unit and 4 horizontal units to the left to get there, so the slope is 1/-4

to find the y intercept (b), it’s simply the point where the line intercepts the y axis (vertical line). in this case it’s at (0,-6). the y intercept would then be -6

now just plug those into the slope intercept form: y = mx + b

the equation of the line is y = 1/-4x - 6

Answer: y= -1/4x - 6

Directions: Solve the problem Label your final answers. Show all work.

Tickets to the Haunted House are $6.50 for adults and $4.30 for children.

How much would it cost for two adults and four children?

How much change would you get if you pay for the tickets with a $50 bill?

Answers

Answer:

The total cost for two adults and four children is $30.2

The change that you would get if you pay for the tickets with a $50 bill is $19.2

Step-by-step explanation:

$6.5 * 2 adults = $13

$4.3 * 4 children = $17.2

$13 + $17.2 = $30.2

$50 - $30.2 = $19.8

Hope this helps and pls do mark me brainliest if you can:)

1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *

Answers

Answer:

$105.22

Step-by-step explanation:

Solve for x and y, please help!

Answers

Answer:

x = 37, y = 9

Step-by-step explanation:

3x + 11 and x + 21 are same- side interior angles and are supplementary, thus

3x + 11 + x + 21 = 189 , that is

4x + 32 = 180 ( subtract 32 from both sides )

4x = 148 ( divide both sides by 4 )

x = 37

--------------------------------

3x + 11 = 3(37) + 11 = 111 + 11 = 122

14y - 4 and 3x + 11 are vertical angles and congruent, thus

14y - 4 = 122 ( add 4 to both sides )

14y = 126 ( divide both sides by 14 )

y = 9

What is the least common multiple (LCM) of 5 and 20?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

When you make a list it will look something like this::

5-5,10,15,20

20-20

Cuantos ejes de simetría tiene un vaso una hoja de árbol piñata de 6 picos florero sin flores escalera y un árbol

Answers

Answer:

Una taza de vidrio tiene líneas verticales de simetría que pasan por la mitad del ancho perpendicular a la base.

Por lo tanto, una copa de vidrio bidimensional tiene una línea de simetría

Un par de anteojos tiene una línea de simetría que pasa por el punto medio del puente y es perpendicular al puente.

Una piñata de 6 puntas tiene tres ejes de simetría que atraviesan los tres pares lineales de piñatas.

Un jarrón bidimensional sin flores tiene líneas de simetría que pasan por el punto medio de la base y son perpendiculares a la base.

Una escalera simple tiene dos líneas de simetría, una que pasa por el punto medio y es perpendicular a la base, la otra es la línea de simetría horizontal que pasa por el punto medio de la longitud de la escalera y es perpendicular a la longitud de la escalera.

Step-by-step explanation:

What is the slope line through (0,4) and (3,2)?

Answers

Answer:

The answer is -2/Trust

Step-by-step explanation:

Answer:

Its D 100%

Step-by-step explanation:

expand (2a +36) (2a-3b

Answers

Use the binomial expansion theorem to find each term. The binomial theorem states
(
a
+
b
)
n
=
n
∑
k
=
0

n
C
k
⋅
(
a
n
−
k
b
k
)
(
a
+
b
)
n
=
∑
k
=
0
n
⁡
n
C
k
⋅
(
a
n
-
k
b
k
)
.
3
∑
k
=
0

3
!
(
3
−
k
)
!
k
!
⋅
(
2
a
)
3
−
k
⋅
(
−
3
b
)
k
∑
k
=
0
3
⁡
3
!
(
3
-
k
)
!
k
!
⋅
(
2
a
)
3
-
k
⋅
(
-
3
b
)
k
Expand the summation.
3
!
(
3
−
0
)
!
0
!
⋅
(
2
a
)
3
−
0
⋅
(
−
3
b
)
0
+
3
!
(
3
−
1
)
!
1
!
⋅
(
2
a
)
3
−
1
⋅
(
−
3
b
)
+
3
!
(
3
−
2
)
!
2
!
⋅
(
2
a
)
3
−
2
⋅
(
−
3
b
)
2
+
3
!
(
3
−
3
)
!
3
!
⋅
(
2
a
)
3
−
3
⋅
(
−
3
b
)
3
3
!
(
3
-
0
)
!
0
!
⋅
(
2
a
)
3
-
0
⋅
(
-
3
b
)
0
+
3
!
(
3
-
1
)
!
1
!
⋅
(
2
a
)
3
-
1
⋅
(
-
3
b
)
+
3
!
(
3
-
2
)
!
2
!
⋅
(
2
a
)
3
-
2
⋅
(
-
3
b
)
2
+
3
!
(
3
-
3
)
!
3
!
⋅
(
2
a
)
3
-
3
⋅
(
-
3
b
)
3
Simplify the exponents for each term of the expansion.
1
⋅
(
2
a
)
3
⋅
(
−
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
−
3
b
)
+
3
⋅
(
2
a
)
⋅
(
−
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
−
3
b
)
3
1
⋅
(
2
a
)
3
⋅
(
-
3
b
)
0
+
3
⋅
(
2
a
)
2
⋅
(
-
3
b
)
+
3
⋅
(
2
a
)
⋅
(
-
3
b
)
2
+
1
⋅
(
2
a
)
0
⋅
(
-
3
b
)
3
Simplify each term.
Tap for more steps...
8
a
3
−
36
a
2
b
+
54
a
b
2
−
27
b
3
8
a
3
-
36
a
2
b
+
54
a
b
2
-
27
b
3

True or False: Every number has a limited amount of factors, but an unlimited amount of multiples.

Answers

Answer:

False

Step-by-step explanation:

0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.

Other Questions

Pls help! will give brainly!!!! plsDescribe how in a democracy, the government gains its power from the people. p 5- x.9Use square roots Geometry Question: Image is provided below.Please show all work and your steps.25 points The given statements pertain to aggregate supply and aggregate demand. Label each statement as being either true or false. Statement 1: An increase in the cost of energy affects both aggregate supply and aggregate demand. A. TrueB. FalseStatement 2: One of the factors that increase aggregate demand is the consumption of more imports.A. TrueB. False Statement 3: If the value of people's stock portfolios increases or if peoples houses appreciate in value, then this very easily could lead to an increase in aggregated demand.A. TrueB. False At a grocery store, you want to buy 2 9/10 lb of. What decimal should the digital scale show? Which expression shows the COMMUTATIVE PROPERTY of addition? A. 3 + 5 + 2 = 3 + (5 + 2)B. 3 + 5 + 2 = 8 + 2C. 3 + 5 + 2 = 5 + 2 + 3D. 3 + 5 + 2 = 10 With respect to one another, galaxies have been found to be 1. moving closer together 2.moving farther apart 3.moving in random directions 4.stationary List out Units For: Acceleration 14. In paragraph 1, Madison supports his claim that America is within thelimits necessary for forming a republic withBDmisleading evidence.three interrelated reasons.examples taken from antiquity.a comparison of a democracy to a republic. solve for x(3/x-c)=(4/x-d) A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice? Rhonda has a hard time accepting compliments. She often thinks that someone has an ulterior motive or only compliments her tobe polite. The likely phenomenon affecting her iscommunication apprehensionthe self-fulfilling prophesythe theory of the the looking glass selfDthe self-serving bias An ion formed from an atom has a 1- charge. The number of electrons present in the ion is 36 and the number of neutrons is 46. Identify the element by typing the name. For example: Hydrogen or Sodium. g The company charges a flat fee of $20 plus $0.48 for every mile the car is driven. Find the cost c c of renting a car from Rent-A-Wreck for a day when x x number of miles are driven. Check the statements that are true.A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers. B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers. C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers. D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers. Read this excerpt from the English Bill of Rights.That the freedom of speech and debates or proceedings in Parliament ought not to be impeached orquestioned in any court or place out of Parliament.According to this excerpt, members of Parliament are allowed toO practice any religion they choose.O have a trial by jury.O communicate opinions and ideas.O share power with the monarchy. NEED HELP!!!!!!!!!!!!!!The pieces of colored stone or glass that make the design in a mosaic are called fresco True FalseIn-the-round sculpture is a freestanding sculpture you can see from all sides. The opposite of relief sculpture. True FalsePax Romana is the name of the Roman city that was buried under meters of ash and pumice after the catastrophic eruption of Mount Vesuvius in 79 A.D. True False In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ? How would you convince your teacher to change your grade using pathos Evaluate the expression when b= 2.12 - b =