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
1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
In Jefferson Middle School, 5% of the sixth graders have red hair. If there are 100 sixth graders, how many have red hair?
5
20
50
95
help im am i n a test !!!!
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
[tex] \frac{5}{100} \times 100[/tex]
If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help
Answer:
64
Step-by-step explanation:
he's 64 inches tall
- multiply 12 by 5, which is 60
- then add four, 60 + 4 = 64
What is the measure of AXG
Answer:
angle AXG will be 40°
because AXG is vertically opposite to FXD
so they both will be equal
can someone help me with this please? 10 points!
Answer:
The answer is D.
Step-by-step explanation:
The car travels 16 miles in 1 hour, then stops for 3 hours, and finally travels 1 hour again for 32 miles.
Consider this quadratic equation:
6x2+9x-10=0
Comparing it to the standard form, name a, b, and c
a-
b=
C=
2. How many solutions does the system have?
y = 2x - 5
y = 2x + 3
a. One solution
b. Two solutions
c. No solutions
d. Infinitely many solutions
Answer:
I think it is b or d I'm not sure though
factor the expression -20x - 15
Answer:
−5(4x+3)
Step-by-step explanation:
Are these triangles similar?
Answer:
B. Yes, by the AA Similarity Postulate
Step-by-step explanation:
This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...
m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)
m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°
Then from here we know that
m∠BDC = 180° - 85° - m∠CBD
m∠BDC = 95° - 42°
m∠BDC = 53°
From here we see that they are similar because of the AA Similarity Postulate, since
m∠ABE = m∠CBD = 42°
m∠BDC = m∠EAB = 53°
m∠AEB = m∠BCD = 85°
please answer fast this is a test question
Which value for d makes the expressions 3d−4 and 12d÷6 equivalent?
Answer:
4
Step-by-step explanation:
We can actually make the two equal each other like so:
3d-4=12d/6
Multiply both sides by 6:
18d-24=12d
Add 24 to both sides:
18d=12d+24
Subtract 12d from both sides:
6d=24
Divide by 6:
d=4
4
A can of soda weighs 336 grams. Find the weight in kilograms of 15 cans.
Answer:
5.04
Step-by-step explanation:
1 can equals to 336 grams
so 15 cans will equal to 336 X 15
which is 5040grams
now covert it into kg by dividing it by 1000
which 5.04
What is the ratio of 3 to 5 to 7 susan shared amounts to 3500 calculate the total s of the number Brian's share and tye percentage of the total amount that mark receives
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?
Answer:
£1430
Step-by-step explanation:
Given data
Principal =£1100
Rate= 5%
time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=1100(1+0.05*6)
A=1100(1+0.3)
A=1100(1.3)
A=1100*1.3
A=£1430
Hence the balance is £1430
pls help will give brainlist
Answer:
95π
Step-by-step explanation:
area of a circle=πr²
radius of the big circle = 24/2=12
area of big circle = π(12)² = 144π
are of small circle = π(7)² = 49π
shaded area = area of big circle - area of small circle
= 144π-49π
= 95π
the diagram shows an isosceles triangle. the area of the triangle is 12cm squared. workout of the perimeter of the triangle
Answer: X= 2.4cm
Step-by-step explanation:
Take half the triangles base which is 2.5 CM
draw a line up through the middle, and get half the area which would be 6cm^2
now divide 6cm by 2.5 and get 2.4 Cm
So x=2.4 CM
The Perimeter of the isosceles triangle is 15.8 cm
Let h represent the height of the triangle. Using Pythagoras theorem:
x² = h² + 2.5²
h² = x² - 6.25
h = √(x² - 6.25)
The area of the triangle is 12 cm², hence:
12 = (1/2) * 5 * √(x² - 6.25)
√(x² - 6.25) = 4.8
x = 5.41 cm
Perimeter of triangle = 5 cm + 5.41 cm + 5.41 cm = 15.8 cm
The Perimeter of the isosceles triangle is 15.8 cm
Find out more on triangle at: https://brainly.com/question/24382052
14) Find the slope of the line containing the points (5, 3) and (-7, 2).
A. −52
B. 112
C. -4
D. 12
Answer:
1/12
Step-by-step explanation:
Step one:
given data
the line containing the points (5, 3) and (-7, 2).
x1= 5
y1= 3
x2= -7
y2=2
Step two:
The slope is given as
Slope= y2-y1/x2-x1
substitute
Slope= 2-3/-7-5
Slope= -1/-12
Slope = 1/12
Find the area of the figure. Round your answer to the nearest tenth.
Answer:
[tex]17.3\:\mathrm{m^2}[/tex]
Step-by-step explanation:
Solution 1:
As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be [tex]\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}[/tex]. The area of this figure can be given as [tex]b\cdot h[/tex], therefore our answer is [tex]5\cdot 2\sqrt{3}\approx \fbox{$17.3$}[/tex].
Solution 2:
The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by [tex]\frac{1}{2}ab\sin C[/tex]. Since there are 2 of these triangles, the area of the entire figure is [tex]2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}[/tex].
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =115/2=d−2/4 solve the proportion
Answer:
5/2+2/4=d
or d=3
Step-by-step explanation:
its all
how many feet tall is the building
Answer:
Height of the building = 77 ft.
Step-by-step explanation:
Let the height of the building (AB) = h feet
It's given that height of a woman (ED) = 5 feet 3 inches
≈ 5 feet + [tex]\frac{3}{12}[/tex] ft
≈ 5.25 ft
Length of the shadow (BC) of the building = 55 ft
Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft
Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.
By the property of similar triangles,
[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]
[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]
h = [tex]\frac{55\times 5.25}{3.75}[/tex]
h = 77 ft
Therefore, height of the building will be 77 ft.
Find the new amount given the original amount and the percent of change. $35,000; 7% decrease
Answer:
7%=50
34950 7% decrease
35050 7% increase
Step-by-step explanation:
if 35000 is before the 7% decrease then it would be 34950
if after 35050
hi i’ll give you brainliest if you answer my question.
Given the function f (x)=2^x
determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 5 united down
is it b or d pls help
ekusysnyeyuejteyjdjgdyjd
Answer:
a. < less than
b. > greater than
c. > greater than
d. > greater than
e. < less than
Plzzzzz give me Brainliest!
13
A new business is hiring managers and employees. The company needs at least 20 managers and no more than 500 employees. A total of at least 400 people
must be hired. Complete the table to show a system of linear inequalities representing the constraints of this situation. Let a represent the number of
managers and let y represent the number of employees. Enter your answer in the box provided.
Constraint
Inequality
A total of at least 400 people must be hired
No more than 500 employees
At least 20 managers
Find the measure of each angle indicated
Please hurry it’s 100 points
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
Find the inequality represented by the graph
Answer:y<3/4x
Step-by-step explanation:
Its proportional
y intercept is 0 which means nothing
slope is 3/4
so
y<3/4x
BTW dotted lines are < not ≤
Your school is going to have a free dress day if 80% of students do their homework. There are 300 students at your school and 210 of them did their homework. What percent of students did their homework last week?
Answer: 70 % of students did their homework last week.
Step-by-step explanation:
Given :
Total students = 300
Students who did their homework = 210
Percentage of students who did their homework = [tex]\frac{\text {Students who did their homework}}{\text {Total students}}\times 100\%[/tex]
Putting the values we get:
Percentage of students who did their homework = [tex]\frac{210}{300}\times 100\%=70\%[/tex]
Thus 70 % of students did their homework last week.
2x² + 3 × (-x²) + 6x + 2
Answer:
1x²+5 x 6x
Step-by-step explanation: