Determine whether the following rates are equal or not using unit rates: 60 units in 3 minutes and 80 units in 4 minutes
Answer:
The rates are equal
Step-by-step explanation:
To see if the rates are equal, divide both of the units by the number of minutes:
60/3
= 20
80/4
= 20
This means both rates are equal, since we got 20 for both of them
This means the rate is 20 units per 1 minute, for both rates.
So, the rates are equal.
Answer:
They are equal
1=20
2=40
3=60
4=80
Step-by-step explanation:
Please help! Three step linear equations
(Please don’t answer with links)
5х + 6 = 8х + 12
Answer:
I solved it and my answer is - 2
Step-by-step explanation:
5x+6=8x+12
5x-8x =12 - 6
-3x =6
Divide by - 3
X=-2
what is the y-intercept?
Answer:
the y intercept is -2
Step-by-step explanation:
If you look at the pattern of the y values, it's just adding one every time. so when x=o y=-2
Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?
Answer:
$ 8,695.35
Step-by-step explanation:
This is a compound interest question
Amount after t years = A = P(1 + r/n)^nt
Where P = Initial Amount saved
r = interest rate
t = time in years
n = compounding frequency
A = 10,000
r = 3.5 %
t = 21 - 17 = 4 years
n = Compounded monthly = 12
Step 1
Converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
P = A / (1 + r/n)^nt
Solving our equation:
P = 10000 / ( 1 + (0.035/12)^12 ×4 =
P = $8,695.35
The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.
whas does 16g+3<-17+15g equal
Answer:
g∠-20
Step-by-step explanation:
What is 3y-5=6-4x in standard form
what's the slope of these two lines
Answer:
the green line is 3/4 and the blue line is-3/4
Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest side is twice the smallest and the other side is four less than three times the smallest, find the length of each side of the triangular collage
Answer:
The length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
Step-by-step explanation:
She has 14 feet of edging to go around the collage.
14 feet = Perimeter of the triangle
The Perimeter of a Triangle = a + b + c where
a = smallest side
b = other side(second side)
c = Longest side
From the question, we are told that:
If the longest side is twice the smallest
c = 2a
The other side is four less than three times the smallest,
The other side = b
b = 3 × a - 4
b = 3a - 4
Hence,
P = a + b + c
14 = a + 3a - 4 + 2a
14 = a + 3a + 2a -4
14 = 6a - 4
Collect like terms
14 + 4 = 6a
18 = 6a
a = 18/6
a = 3ft
Therefore the smallest side = 3
The Longest side(c) = 2a
c = 2 × 3
c = 6ft
The other side(b) = 3a - 4
= 3(3) - 4
= 9 - 4
= 5 feet.
Therefore, the length of each side of the triangular collage:
a = smallest side = 3 feet
b = other side(second side) = 5 feet
c = Longest side = 6 feet
PLZ HELP ASAP.....Your dad is researching landscaping companies to come put new mulch out for the year. The first company charges $100 just to come out, plus $10 per bag of mulch, m, needed. The second company doesn’t charge to come out but charges $30 per bag of mulch. After how many bags of mulch will the total cost of each company be the same?
Answer: After 5 bags of mulch, the cost for both companies will be the same.
Step-by-step explanation:
The cost for Company can be represented by the equation: y= 10m+100
The cost for Company B can be represented by the equation: y= 30m
To find the amount of mulch, their cost needs to be the same, I will solve for m
10m+100=30m
-10m 10m
100=20m
Divide both side by 20
100/20=20m/20
5=m or m=5
So after 5 bags of mulch, the total cost for both companies is the same.
Tisha orders a carpet for a room that measures 270 square feet. The salesman says the carpet costs $12.00 per square yard. He explains that since there are 3 square feet for every square yard, tisha needs 90 square yards of carpeting, which cost $1,080. What error did the salesman make? What should be the actual cost of the carpet?
Answer:
What error did the salesman make?
The salesman made an error when convert 270 square feet to yards.
What should be the actual cost of the carpet?
The actual cost of the carpet is $360
Step-by-step explanation:
From the question, we are told that:Tisha orders a carpet for a room that measures 270 square feet.
This means the room needs 270 square feet of carpet
But from the question, we know that the carpet is sold in square yards
We convert square feet to square yards
For our conversion rates
3 ft = 1 yard
9 ft² = 1 square yards(yd²)
270 ft² = x
Cross Multiply
9 ft² × x = 270ft² × 1 yd²
x yd²= 270ft² × 1 yd²/9 ft²
x = 30 yd²
Hence, 270ft² = 30yd²
Cost of carpet =
1 yd² = $12.00
30 yd² =
Cross Multiply
= 30 × $12.00
= $360.00
The actual cost of the carpet is $360
What error did the salesman make?
The salesman made an error when convert 270 square feet to square yards.
He said 270 square feet = 90 square yards
But he was wrong.
270 square feet = 30 square yards.
What should be the actual cost of the carpet?
The actual cost of the carpet is $360
Answer:360 for the actual cost
Step-by-step explanation:
brainlest thats it man/
-3 3/7 x 3/8. Explain step by step.
1.28571428571 this is the answer thank you please give me 5 stars.plis
What is 35/80 in lowest terms
Answer:
7/16
Step-by-step explanation:
Divide each side by 5
4x−3/2 - 5-2x/3 - 3x-4/3 = 5
Answer:
Simplify the expression.
2x-47
=6
Step-by-step explanation:
Answer:
x= -8.5
Step-by-step explanation:
combine like terms1/3x - 47/6 =5
2. Get x onone side
1/3x = -17/6
3. Multiply for x
x= -8.5
a scale drawing of a school bus has a scale of 0.5 inch to 5 feet. if the length of the school bus is 4.5 inches on the scale drawing, what is the actual length of the school bus
Answer:
45 Feet
Step-by-step explanation:
0.5 goes into 4.5 9 times so 9 times 5 = 45
Identify the correct expression.
Tricia is saving money for her summer vacation. She started with $10.25 and adds $5.15 to her savings every month.
Jessica has collected bead all
Summer She started with 50
summer this summer then she was able to add 34
To her cullection she wanted to give 4 friend some beads how many beads will each friend get
Solving Inequalities
-2x+3=-5
(WILL MARK BRAINLIEST)
Answer:
x = 4
Step-by-step explanation:
This is an equation but solving inequalities is very similar to solving equations.
[tex] - 2x + 3 = - 5[/tex]
Subtract 3 from both sides.
[tex] - 2x = - 8[/tex]
Divide by - 2 from both sides.
[tex]x = 4[/tex]
(I originally typed the equation as - 2x + 3 = 5, my bad.)
Answer:
x=4
Step-by-step explanation:
m
a
t
h
w
a
y
Here are six number cards.
-4-2-1,5,6,8
Arrange the cards into three pairs with the same total
Answer:
-1+5=4(so-1and5)
-2+6=4(so-2and6)
-4+8=4(so-4and8)
A dancer took forward and backward steps of equal length during a dance. After taking 16 steps total, she was back at her starting position. How many steps did the dancer take in the forward and backward directions?
8 steps
this is because when she moves front, she takes 1 step back, so 16/2=8
What is the angle relationship ?
Answer:
x and y are Vertical angles
What is the degree measure of V?
A) 31 (degrees)
B) 34 (degrees
C) 58 (degrees)
D) 74 (degrees)
Please help me !! 20 points!
Answer: the answer is $3,084
Step-by-step explanation:
The reason i got this answer is because i added $329 + $699 x 3 = $3,084
Answer:
$3,084Step-by-step explanation:
add the cost of ipad and iphone
$329 + $6991028 x 3 people$3,084Segment AB has endpoints on the coordinate grid where A is (-18,5) and B is (-4,5). Point Z is located exactly 1/8 of the distance from A to B. Determine the value of the x-coordinate of point Z.
Answer:
The coordinates of point Z is (-16.25, 5)
Step-by-step explanation:
The given information are;
The coordinates of the endpoint A on segment AB = (-18, 5)
The coordinates of the endpoint B on segment AB = (-4, 5)
Therefore, given that the endpoints A and B have the same y-coordinate value, (5), then segment AB is horizontal, and the length of segment AB = -4 - (-18) = -4 + 18 = 14
The point Z located at exactly 1/8 from A to B is given as follows;
[tex]Z = \left (-18 + (-4 - (-18)) \times \dfrac{1}{8} , \ 5 + (5 - 5)\times \dfrac{1}{8} \right ) = (-16.25, \ 5)[/tex]
The coordinates of point Z = (-16.25, 5).
what is fourteen less than three fourths of a number is negative eight written as a equation
FIND X
NEED HELP ASAP
Answer: x = 3
Step-by-step explanation:
Subtract 15 from both sides
2/3x = 2
Divide each side by 2/3
x = 3
Answer:
welp to bad its like -4 tho
Step-by-step explanation:
. What is the measure of in nearest degree, If Sin 0 = 4/9
a) 70°
b) 26°
b) 64°
d) 83
Answer:
think I would be ....... b) 64°
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?
A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answer:
In the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.
Step-by-step explanation:
Choose the correct answer :
0,2444... and 0,244
1 ) 0,2444...=0,244
2) 0,2444...<0,244
3) 0,2444...>0,244
Answer:
2
Step-by-step explanation:
12
Paul Simmons earns $47,500 as an office manager. If his company issues
weekly paychecks, how much is each check?*
Answer:
$913.46
Step-by-step explanation:
$47,500 / 52 = 913.46
