Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
an event that cannot happen is
a certain
b possible
c impossible
Evaluate the expression for a = 10 and b = 12.
a+4(b−3)
Answer:
46
Step-by-step explanation:
a + 4(b - 3)
Substitute the values for a and b.
10 + 4(12 - 3)
Subtract inside the parenthesis.
10 + 4(9)
Multiply.
10 + 36
Add.
46
Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.
Answer:
coupon A
Step-by-step explanation:
coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15
HELP IM GOING TO HAVE A MENTAL BREAKDOWN
Find the values of x and y that make these triangles congruent by the HL Theorem.
Answer:
x = 3 ; y=2
Step-by-step explanation:
to simplify the work we can build a system of two equations
2x+3 = 3y+3
x = y+1
we can now substitute the value of x in the first equation
2(y+1)+3 = 3y+3
2y + 2 + 3 = 3y+3
2y + 5 = 3y+3
y = 2
now we can subisitute the value of y in the first equation
x = 2 + 1 = 3
Verify
2(3)+3 = 6+3 = 9
3(2) + 3 = 6 + 3 = 9
3
2+1 = 3
Gerardo makes $18 per hour at Starbucks. Tomorrow he is going to receive a raise totalling 20% of his hourly wage. What will he be making per hour straying tomorrow.
to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.
Solve log2 x = log5 3+1 by graphing. round to the nearest tenth
Answer:
the answer is 3.2
Step-by-step explanation:
x≈3.2
Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.
Answer:
A maximum of 4 days
Step-by-step explanation:
Inequality: 95 + 11.50x ≤ 150
Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.
95 + 11.50x ≤ 150
-95 -95
11.50x ≤ 55
/11.50 /11.50
X=4.78260869565
You would round down since he has a budget.
A. 65
B. 30
C. 10
D. 50
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
Write an exponential function in the form y=b^x that goes through the points (0,9) and (3,4608)
Answer:
y = 9 * bˣ
Step-by-step explanation:
y = a * bˣ
9 = a * b⁰ = a * 1
a = 9
4608 = 9 * b³
b³ = 512
b = 8
y = 9 * bˣ
Help me plsssssssssssssssss
Help me ASAP!!
Find the area of the whole blue triangle.
8.5 m
10 m
8 m
3 m
6 m
Which ones the right answer?
The answer is D. (7,8)
You are able to count from 0 to ten, and you always put the x number first!
Hope this helps :)
if A={1,2,3,4} and B={3,4,5,6} are two sets,find (A-B).
Step-by-step explanation:
[tex](A-B) = ( - 2, \: - 2, \: - 2, \: - 2)[/tex]
Logan has $63 and would like to purchase as many packs of baseball cards as possible to add to her collection. Part A An advertisement in the newspaper shows that each pack of cards costs $1.75. At this price, how many packs of cards can Logan buy? Write the answer in the box. packs
Answer:
36 card
Step-by-step explanation:
because 1 card cost $1.75 and Logan has $63, just divide 63 by 1.75 to get the answer
63÷1.75 =36
What is the distance between (-2,-8)(7,-3)
Answer:
[tex]\sqrt{106}[/tex] or 10.29563
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer:
[tex]\displaystyle d = \sqrt{106}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-2, -8)
Point (7, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(7--2)^2+(-3--8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(9)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{106}[/tex]problem of volume that equals 9 work please
Step-by-step explanation:
l=1
b=3
h=3
l×b×h
9 is the vol
Melissa built a square pyramid out of sand. The base of the pyramid has a side length of 18 centimeters. The height of the pyramid is 26
centimeters.
What is the volume of the pyramid?
A. 624 cm3
B. 1,872 cm
C. 2, 808 cm
D. 4,212 cm
E. 8, 424 cm
Answer:
C. 2, 808 cm^3
Step-by-step explanation:
Given that
The base of the pyramid is 18 centimeters
And, the height of the pyramid is 26 centimeters
We need to find out the volume of the pyramid
As we know that
The volume of the pyramid is
= 1 ÷ 3 × base^2 × height
= 1 ÷3 × 18^2 × 26
= 2,808 centimeter^3
Hence, the correct option is c.
please help me with full calculations
9514 1404 393
Answer:
see attached
Step-by-step explanation:
When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.
1.On field day, the P.E. coach divides the students into two groups, Positives and Negatives. He wants to have the same amount of students of each group on each side of a rope, to play Tug-of-War.
He uses the following expression to figure out how many students of a certain group he still needs to create an even match.
–5 + 20
Evaluate the expression and write the answer below. Write only a number, either positive or negative. No letters
Answer:
-15
Step-by-step explanation:
because -5 + 20 = -15.
The coach needs 15 negative players to join the negative team in order to get 20 players (which would make the teams even)
With Company A, you can take a 2.25 hour helicopter ride for $ 270.
With Company B, you can take a 90-minute helicopter ride for $ 180.
Which of the two helicopter companies gives you the best ride for your money?
Answer:
B
Step-by-step explanation:
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
A) An odd number of factors were negative.
B) None of the factors were negative.
C) An even number of factors were negative.
D) All of the factors were negative.
Answer:
c
Step-by-step explanation:
Someone answer this for me
Answer:
I think it is B or 17 ft
Step-by-step explanation:
Hope this helps. Tell me if I'm wrong
Answer: Probably 30
Step-by-step explanation: If you multiply 12 x 5 = 60, which we don't see that answer. I'll say C because 12 + 12 is 24. Add 5 and you get 29. The closer answer to 29 is 30. I could be wrong because I'm only in Middle School and kinda get confused with questions like these.
Someone help me with this pls
answer:
=y^(-4+3)
=y^ (-1)
please help me dont add a link you'll get reported
Answer:
D, 245.0 in^2
Step-by-step explanation:
Formula for the surface area of a cylinder: A=2πrh+2πr^2
A = 2πrh + 2πr^2
A = 2π(3)(10) + 2π(3)^2
A = 60π + 18π
A = 245.044
Answer:
???/
Step-by-step explanation:
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
Can you solve this for x? 7x-1
Which is a number that can be written as a fraction in the form /?
Answer:
the third one/second one
Step-by-step explanation:
find the volume of the figure
Answer:
1920
Step-by-step explanation:
Volume of larger rectangular prism: 10 * 8 * 14 = 1120
Volume of smaller rectangular prism: 10 * 10 * 8 = 800
Volume of whole prism: 1120 + 800 = 1920
Hence, your answer is 1920
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108.
The question is incomplete. Kindly see the correct question below
Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this
Answer:
9D +6C < 108
Step-by-step explanation:
Let the price of Dvd be D
Let the price of CDs be C
Hence the inequality can be represented as follows
9D + 6C < 108
it is multiple choice and i know 100% that the answer is no, but i dont know the answer for the solution part
Answer:
NO
NO SOLUTION
Step-by-step explanation:
2t + 2e = 11 eqn 1
t + e = 6.5 eqn 2
this can be solved using simultaneous equation
Multiply eqn 2 by 2
2t + 2e = 13
subtract eqn 1 from2
0 + 0 = 2
there is no solution