Answer:
Number of students who got grade A = [tex]\frac{8y}{x}[/tex]
Step-by-step explanation:
Number of students who got grade B = 8
Ratio of the students that got A to the students who got B = [tex]y:x[/tex]
That is
Number of students who got grade A : Number of students who got grade B =
[tex]y:x[/tex]
Number of students who got grade A : 8 = [tex]y:x[/tex]
Therefore,
Number of students who got grade A = [tex]\frac{8y}{x}[/tex]
A golf team's 6 members had the scores below in their most recent tournament: 70, 72, 74, 76, 78, 72 Find the median score.
Answer:
73.67
Step-by-step explanation:
Question 8 - Find the mean
Answer:
3.6
Step-by-step explanation:
WE can add 0+2+2+2+2+3+3+3+4+4+4+4+4+5+5+5+5+5+5+5 to get 72. WE then divide by 20 and get 3.6
The length of a rectangle is 2x inches. The width is x + 4 inches. Find the value of the x if the perimeter
of the rectangle is 50 inches.
full Remember that nerimeter is the sum of sides or distance around)
Help ASAP pleaseeee
Answer:
17/6
Step-by-step explanation:
We know that,
perimeter of rectangle=2(l+b)
or,50=2(2x+x+4)
or,50=2(3x+4)
or,25=6x+8
or,17=6x
•x=17/6
7 times the quantity y divided by 4
[tex]3(6 + 7) [/tex]
Answer:
39
Step-by-step explanation:
3(6+7)
=18+21
=39
or
3(6+7)
=3(13)
=39
The lengths of the sides of ABC are 4, 5,
and 6. If the length of the longest side of similar
ADEF is 18, find the length of the shortest side
of DEF
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
jim an joe ran a relay race Jim had a time of 9.2 seconds Joe head at time of 10.32 seconds together how long did it take them to complete the race?
Answer: 19.52 seconds
Step-by-step explanation:
9.2 seconds + 10.32 seconds = 19.52 seconds
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
why is no one answering me me??? :(
Answer:
hewo
Step-by-step explanation:
i dont know- probably bc they don't want to
Tell whether the angles are adjacent or vertical. Then find the value of x.
On Friday 1/3 of 180 bottles of water on a supermarket shelf were dold. On Saturday 3/5 of the remainder were sold. All the remaining bottles were sold on Sunday. a) How many bottles were sold on Sunday. b) How many more bottles of water were sold on Saturday than on Friday?
To find 1/3 of 180, we need to multiply 180 by 1/3, or divide 180 by 3. For this one, we will try both methods.
180/1 x 1/3 = 180/3 or 60
180 / 3 =60
Since we now know how much was sold, we need to find what is left. We need to subtract 180 by 60.
180-60=120
So 120 bottles are left. Now, since 3/5 of 120 were sold the next day, we need to multiply 120 by 3/5.
120/1 x 3/5 = 360/5 or 72.
Now we know that 72 bottles were sold on Saturday. Subtract 120 by 72 to know how much is left in total.
120-72=48
60 bottles of water were sold on Friday.
72 bottles of water were sold on Saturday.
There were 12 more bottles sold on Saturday than Friday.
---
hope it helps
please help me solve this.
Answer:
X=7 X=-1
Step-by-step explanation:
4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.
(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those
X=7 X=1 equating those parenthesis to 0 gives you that
Press the hotspot next to the name of the learner who wrote an incorrect expression.
Answer:
Luis
Step-by-step explanation:
What is the inverse of the following statement? If the measurement of an angle is 90 degrees, then it is a right angle
What is the radius of a cylinder with a volume of 60,750πcm3
and a height of 750cm
?
Answer:
60,000
Step-by-step explanation:
I may be wrong hope not.
Hola plz answer
Give points n thanks
Answer:
460 pounds.
Step-by-step explanation:
5% of 2,300 is 115. Since it is in there for four years, you multiply 115 by 4 to get 460.
Mr. Smith is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30º. What is his horizontal distance to the cornfield?
Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
2. Lena can finish 2 math homework problems in 15 minutes. At this rate, how many problems can she finish in 75 minutes? Use the rate table below to find the answer.
10.
Because the ratio is how many problems:How much time so it is 2:15
Multiply each side by 5 10:75
So that means 10 problems in 75 minuets.
HOPE THIS HELPED!!!
Answer:
10
Step-by-step explanation:
Set up the following proportion.
2 questions /15 minutes = x questions / 75 minutes.
Notice that both ratios are set up the same way -- questions / time. All proportions are set up the same way.
Mulltiply both sides by 75
2 * 75 / 15 = x
2 * 5 = x
x = 10
She would be able to solve 10 problems in 75 minutes.
What is the value of x rounded to the nearest hundredth?
Question 4 options:
67
94
73
59
Answer:
73 could be wrong
Step-by-step explanation:
55x55+48x48=5329
✓5329
73
The school librarian ordered 180 books. The order included 36 history books, 62 science books , and 34 English books. The rest of the books in the order are math books how many books did the librarian order"
Answer:
180
or if your looking for math books then
48
Step-by-step explanation:
36+62=98
98+34=132
180-132=48
Answer:
180
Step-by-step explanation:
Heather purchased a new $1,500 laptop by using a credit card with a 17% interest rate. She will pay off the balance in 2 years by paying monthly payments of $74.16. Calculate Heather’s total cost of repayment.
12 months in a year
2 years
2x12=24
74.16x24=1779.84
Heather's total cost of repayment is $1,779.84.
What exactly is a monthly payment?A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.
Given,
Principal = $1,500
Rate = 17% per year (or 0.17 as a decimal)
Time = 2 years
Total interest = (principal × rate × time) / 12
Substitute the given values, and we get:
Total interest = (1500 × 0.17 × 2) / 12 = $51
So, Heather will pay a total of $51 in interest over the two years.
Total repayment = monthly payment × number of months
Here,
Monthly payment = $74.16
Number of months = 2 years × 12 months/year = 24 months
Substitute these values, and we get:
Total repayment = $74.16 × 24 = $1,779.84
Therefore, Heather's total cost of repayment is $1,779.84.
Learn more about the monthly payments here:
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Which of the following expressions are equivalent to -4/7 - 8/9 + 4/7 + 9/8?
Answer:
C and D
Step-by-step explanation:
I'm too braindead to explain this, read comments
Answer:
-2 1/72
Step-by-step explanation:
Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.
Hope this helps!
Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of
$48,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $12,000 down payment be?
Their down payment is
% of the purchase price.
Answer:
Part A
The down payment of $48,000 is 20% of the purchase price
Part B
A $12,000 down payment will be 5% of the purchase price
Step-by-step explanation:
A percentage is the expression of the product of the ratio of two numbers and 100
The amount the investors buy the studio apartment = $240,000
The amount the investors have as down payment = $48,000
Part A
The ratio of the down payment the investors have and the amount the investors buy the apartment = 45,000/240,00 = 0.2
Therefore, their down payment is 0.2×100 = 20% percentage of their purchase price
Their $48,000 down payment is 20% of their purchase price
Part B
The percentage of the purchase price a $12,000 down payment would be is given as follows;
12,000/240,000 × 100 = 5%
Therefore, a $12,000 down payment will be 5% of the purchase price.
which expression would be easier to simplify if you used the associative property to change the grouping?
Answer:
The real answer is D
Step-by-step explanation:
6Type the statement or reason the fits in each box. Write your answer as a list. For example: 1. Addition Property of Equality 2. X+5=y+5 3. Simplifying Choose from this word bank. - Subtraction Property of Equality - Division Property of Equality - Distributive Property of Equality - x + 1 = -4 - x = -5Immersive Reader (4 Points)
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given
[tex]-x + 1 = -4[/tex]
[tex]-x = -5[/tex]
Required
State which property is used
The word that describes the operation is; subtraction property of equality.
This property states that:
if [tex]x = y[/tex] then
[tex]x - a = y - a[/tex]
So, for the given equation:
[tex]-x + 1 = -4[/tex]
When the subtraction property of equality is applied
[tex]-x + 1 - 1 = -4 - 1[/tex]
[tex]-x = -5[/tex]
So:
(a) Subtraction Property of Equality is correct
Patrice found a book that was 2 1/4 inches thick. She stacked it with another book that was the same thickness. How tall was the stack ?
Answer:
4.5. inches
Step-by-step explanation:
Given that:
Thickness of first book = 2 1/4 inches
Thickness of second book = same as first = 2 1/4 Inches
Stacking both books together, height of stack will be :
2 1/4 inches * 2
Height of stack = 9/4 * 2
Height of stack = 18 /4 = 4.5 inches
Solve forn. (7^2)^4=n^8
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7/n-(8/7)=0
Step by step solution :
STEP 1:
8
Simplify —
7
The equation at the end of step
1:
7 8
— - — = 0
n 7
STEP 2:
7
Simplify —
n
The equation at the end of step
2:
7 8
— - — = 0
n 7
STEP 3:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : n
The right denominator is : 7
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 0 1 1
Product of all
Prime Factors 1 7 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
n 1 0 1
Least Common Multiple:
7n
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 7
Right_M = L.C.M / R_Deno = n
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7 • 7
—————————————————— = —————
L.C.M 7n
R. Mult. • R. Num. 8 • n
—————————————————— = —————
L.C.M 7n
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • 7 - (8 • n) 49 - 8n
——————————————— = ———————
7n 7n
The equation at the end of step
3
:
49 - 8n
——————— = 0
7n
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.
Here's how:
49-8n
————— • 7n = 0 • 7n
7n
Now, on the left-hand side, the 7n cancels out the denominator, while, on the right-hand side, zero times anything is still zero.
The equation now takes the shape :
49-8n = 0
Solving a Single Variable Equation:
4.2 Solve : -8n+49 = 0
Subtract 49 from both sides of the equation :
-8n = -49
Multiply both sides of the equation by (-1) : 8n = 49
Divide both sides of the equation by 8:
n = 49/8 = 6.125
One solution was found :
n = 49/8 = 6.125
Step-by-step explanation:
hope this helps...
The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
What is an algebraic expression?"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
What is exponent?"It refers to the number of times a number is multiplied by itself.""For non-zero real numbers a, b, c, [tex](a^b)^c=a^{b\times c}[/tex]"For given question,
We have been given an equation [tex](7^2)^4=n^8[/tex]
Consider an algebraic expression on the left side of the above equation.
[tex](7^2)^4[/tex]
Using the properties of exponents we can write it as,
[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]
So, given equation becomes,
[tex]7^8=n^8[/tex]
Since power is same, base of above exponents is equal.
⇒ n = 7
Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
Learn more about the exponents here:
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Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
4. A carpenter is building a unique jewelry box in the shape of a triangular prism. How much wood will it take to complete the project? 9.5 m 10m 16 m 6 m
Answer:
9.5 m
Step-by-step explanation: