Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
It's takes Mario 1/4 hour to mow mr Harris's lawn. It takes him 3 times as long to mow mrs Carter's . How long does it take Mario to mow mrs Carter's lawn
Answer:
670
Step-by-step explanation:
First you have to fined the unit rate
1,500/25= 60
a do
300x60= 18,00-98
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.
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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.
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!
2 3/4 +1 1/4+3 1/2 
Solve for z:
-0.25z = -1.25
Answer:
the answer is 5
Step-by-step explanation:
-0.25/(-0.25)=-1.25/(-0.25)
z=5
Answer:
5
Step-by-step explanation:
A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has the following help in covering the costs of school. An academic scholarship of $8,200. Other scholarships and grants of $7,400. Grandparents pay $1,000. What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?
Answer:
Answer is 690 every month
Step-by-step explanation:
The total cost is $23,500
Scholarship:8200$
2nd scholarship:7400$
Grandparents: 1000$
23,500-8,200-7400-1000=6900÷10=690
He will have to save up 690 every month for 10 months
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
Solve the Equation 4x^2-5x-6=0
Answer: = 2
Step-by-step explanation: Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
7 times the quantity y divided by 4
What is the inverse of the following statement? If the measurement of an angle is 90 degrees, then it is a right angle
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:
I am stugling with algebra (because of zoom classes) and have multiple questions, please answer as many as you can. Thank you!
3x + 7 = 4x X=
x + 2 + 2x = x + 10 X=
x + 3x = x + x + 10 X=
2x + 3 + 3x = x + 11 X=
(oh and PLEASE explain this to me!)
9514 1404 393
Answer:
x = 7x = 4x = 5x = 2Step-by-step explanation:
The general steps are ...
look at what you haverewrite the equation so the variable terms are on one side and the constant terms are on the other side of the equal sign; collect termsdivide by the coefficient of the variableIt is generally convenient to put the variable terms on the side of the equation having the largest (most positive) variable term. You do the rearranging by subtracting the terms you don't want. Any operation is performed on both sides of the equation.
__
1) 3x + 7 = 4x
We observe the largest x-term is on the right, and the only constant term is on the left. We can subtract the x-term 3x to eliminate it from the left side
3x +7 -3x = 4x -3x
Combining like terms gives ...
7 = x . . . . . this is the solution
__
2) x +2 +2x = x + 10
We observe x-terms and constants on both sides of the equation. First of all, we will combine like terms.
3x +2 = x +10
The largest x-term is on the left, so we choose to subtract x (the x-term on the right)
3x -x +2 = x -x +10
2x +2 = 10
We don't want the constant on the left, so we subtract 2.
2x +2 -2 = 10 -2
2x = 8 . . . . . . . . . . combine like terms
Now, we divide by the coefficient of x.
2x/2 = 8/2
x = 4 . . . . . . the solution
__
3) x +3x = x + x + 10
4x = 2x +10 . . . . . . . combine like terms
2x = 10 . . . . . . . . . . . subtract 2x
x = 5 . . . . . . . . . . . . . divide by 2
__
4) 2x +3 + 3x = x + 11
5x +3 = x +11 . . . . . . . . combine like terms
4x +3 = 11 . . . . . . . . . . . subtract x
4x = 8 . . . . . . . . . . . . . . subtract 3
x = 2 . . . . . . . . . . . . . . .divide by 4
_____
Learn to identify and combine like terms. Use addition or subtraction to eliminate terms you don't want. Use multiplication or division to eliminate coefficients you don't want. Whatever you do to one side of the equation must also be done to the other side of the equation. (In the above, we use "subtract ..." to mean "subtract ... from both sides of the equation," for example.)
What is the answer using substitution X+(x-178)=676
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
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
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
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.
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
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Press the hotspot next to the name of the learner who wrote an incorrect expression.
Answer:
Luis
Step-by-step explanation:
why is no one answering me me??? :(
Answer:
hewo
Step-by-step explanation:
i dont know- probably bc they don't want to
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:
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
how many two digits divisible by 6
Answer:
The first two digit number divisible by 6 is 12 and The last two digit divisible by 6 is 96 Let a=12, d=6, an=96
Step-by-step explanation:
Answer:
15.There are 15 2 digit numbers which are divisible by 6.
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
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.
The arithmetic sequence ; is defined by the a i formula : a 1 =-4910 a i =a i-1 +8 Find the sum of the first 575 terms in the sequence.
Answer:
- 1,503,050
Step-by-step explanation:
Given that the sum of arithmetic sequence =
n/2[2a + (n-1)d]
Where;
n = 575
a = -4910
d = a i - a i-1 = 8
Substituting values;
575/2 [2(-4910) + (575 -1) 8]
575/2 [(-9820) + 4592]
= - 1,503,050
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