Step-by-step explanation:
given data:
gained = $1,570
amount invested = $29,000
0.11x – 0.07( $29,000 – x ) = 1540
0.11x – ( 2030 – 0.07x ) = 1540
0.11x + 0.07 = 1540 +2030
0.18x = 3570
divide both sides by 0.18
x = 19833.33 ( amount invested at 11%.
$29,000 – 19833.33
= $9166.7 ( amount invested at 7%)
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75
Answer:
A ) $1.75 x ≤ $25
Step-by-step explanation:
the cost of x boxes of crayons = 1.75x dollars
If there is a budget of only $ 25,
So, the cost of x boxes of crayons ≤ $25
Answer:
Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.
2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°
Answer:
90°
Step-by-step explanation:
33+57=90
180-90=90
Use the Distributive Property to simplify 17(2b + 3)
Answer:
34b+51
Step-by-step explanation:
When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...
17(2b+3)
34b+51
Because you can't tell what x is, this is the most simplifying you can do.
Hopefully this helped you out...have an amazing day :3
WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served
Answer:
There were 135 adults that were served.
Step-by-step explanation:
Let's use c for child's cost and a for adult's cost.
The total amount is 1347.50. With this, we can create an equation to solve for adults.
a + c = 250
3.50c + 7a = 1347.50
Using system of equations, we can plug in values to get our answer.
c = 250 - a
3.50(250 - a) + 7a =
875 - 3.5a + 7a =
3.5a = 472.5
135 = a
115 = c (when you plug a into the equations)
There were 135 adults that were served.
Answer:
135
Step-by-step explanation:
x = number of child's plate
y= number of adult's plate
x+y=250 => 1
3.50x+7y=1347.50 => 2
Multiplying equation 1 by 3.50,
3.50x+3.50y=875 =>
Subtracting equation 3 from equation 2,
3.50x +7y - 3.50x - 3.50y = 1347.50 - 875
3.50y = 472.50
y= 135
cghmfhjvghvjvhjvhjvgnmvgvhvgmvgnmvg i need answer
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
I’m not very great a math and I’m a bit rush so yeah
Answer:
y=1/10x -9
Step-by-step explanation:
slope intercept formula - y=mx+b
Answer this problem
-3+(-2)
Answer:
-5
Explaination:
Because -3-2 is -5.
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
Min Jee wants to build a small patio. It will be 70 inches long and 49 inches wide. She can't decide whether to use brick or concrete paver stones. Each brick covers an area of 3 1/2inches by 7 1/2 inches and costs $0.59. Each paver covers an area 8.4 inches by 8.4 inches and costs $1.88. Which would be less expensive to use, and by how much?
Step-by-step explanation:
firstly, let us solve for the area of the patio, from the information given the patio we have a rectangular orientation.
Area of patio
length=70in
width=49in
Area=70x49
Area=3430in^2
Area of brick
length=7.5in
width=3.5in
Area=7.5x3.5
Area=26.25in^2
Amount of brick needed =3430/26.25
Amount of brick needed =130.66
The Total cost of brick=130.66x0.59
The Total cost of brick=$77.09
Area of paver
length=8.4in
width=8.4in
Area=8.4x8.4
Area=70.56in^2
Amount of brick needed =3430/70.56
Amount of brick needed =48.61
The Total cost of brick=48.61x1.88
The Total cost of brick=$91.38
Brick would be less expensive by =91.38-77.09= $14.29
the height of one mountain is 199 yards. Another mountain is 6 times as tall.
What is the height of the second mountain?
Answer:
1194
Step-by-step explanation:
because 199 is the height of the first mountain so just times that number by 6 to get the second mountains height.
Aline's
y -intercept
is 10, and its slope is 9
. What
is its equation in
slope -intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
7(x−5)−9=334 what is the answer of x
Answer:
[tex]\boxed {x = 54}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]7(x - 5) - 9 = 334[/tex]
-Use Distributive Property:
[tex]7(x - 5) - 9 = 334[/tex]
[tex]7x - 35 - 9 = 334[/tex]
-Combine like terms:
[tex]7x - 35 - 9 = 334[/tex]
[tex]7x - 44 = 334[/tex]
-Add both sides by [tex]44[/tex]:
[tex]7x - 44 + 44 = 334 + 44[/tex]
[tex]7x = 378[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7}= \frac{378}{7}[/tex]
[tex]\boxed {x = 54}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]54[/tex].
Which values of a, b, and c correctly represent the answer in simplest form? PLEASE HELP I AM BEING TIMED TRYING TO HELP OUT MY LITTLE SISTER, I WILL MARK BRAINLIEST!!!!!!!!!
4 1/2 division sign 1 1/4 = a b/c?
A. a=3, b=6, c=10
B. a=3, b= 3, c=5
C. a= 5, b= 3, c=3
D. a=10, b=6, c=
[tex]4 \frac{1}{2} \div 1 \frac{1}{4} [/tex]
[tex] \frac{9}{2} \div \frac{5}{4} [/tex]
[tex] \frac{9}{2} \times \frac{4}{5} [/tex]
[tex] \frac{36}{10} [/tex]
[tex] \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : [/tex]
[tex]3 \frac{6}{10} [/tex]
In place of A , 3 is there , in place of B , 6 is there and in place of C , 10 is there .Therefore , the correct option is :-[tex]A. a = 3 , b = 6 , c = 10
[/tex]
At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?
$234.00
$357.00
$637.50
$994.50
Answer: $994.50
Step-by-step explanation:
From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:
= 150 × $4.25
= $637.5
We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:
= $637.5 + (56% × $637.5)
= $637.5 + (0.56 × $637.5)
= $637.5 + $357
= $994.50
Find the slope of the line.
The slope of the line is =
(Simplify your answer. Type an integer or a fraction.
1.which of the following would save more fuel?
a.Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b.Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c.Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.
9514 1404 393
Answer:
1. b
2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons
Step-by-step explanation:
The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...
gallons = miles/(miles/gallon)
18 mpg: 1000/18 = 55.6 gallons
28 mpg: 1000/28 = 35.7 gallons
34 mpg: 1000/34 = 29.4 gallons
54 mpg: 1000/54 = 18.5 gallons
So, ...
replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.
replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.
Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.
__
The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.
5a+12 = 9A-12
Can anybody help me ?
Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
Determine the distance from point (2,4) to (4,-2) Plz help asap
Answer:
Step-by-step explanation:
PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
A cubic function is stretched by a factor of 0.4, opening downward and
shifted 10 units down and 5 units left.
Answer:
the answer is in the link
Step-by-step explanation:
https
bxaha zshkkkvxxxkvvvvwuqgceuuuegieg DONT KNO
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?
Answer:
19/24 pounds
Step-by-step explanation:
To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).
[tex] \frac{3}{8} + \frac{5}{12} [/tex]
[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]
[tex] \frac{9}{24} + \frac{10}{24} [/tex]
[tex] \frac{19}{24} [/tex]
4x - 5y = 10 solve for y=mx+b
Please help me solve this problem!! I WILL GIVE YOU BRAINLIEST!
(Algebra 1)
m≥5m-4
Answer:
m≤1
Step-by-step explanation:
Move the variable to the left,
m-5m≥-4
Collect like terms so you would have,
-4m≥-4
Then divide and switch the sign because you divided,
m≤1
Jackson Elementary School ordered 25 pizzas for an awards ceremony. At the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over. What is a reasonable estimate for the number of pizzas the students ate at the awards ceremony?
Answer: 9 pizzas
Step-by-step explanation:
From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.
A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:
= 25 - (8 1/4 + 7 3/4)
= 25 - 16
= 9 pizzas
Will hand out brainliest to the best answer! (+100 pts)
Answer:
6
Step-by-step explanation:
If the x is 2 in f(x) the answer should be 6 according to your table.
Answer:
6
Step-by-step explanation:
if the X is to in f(x) answerr will be 6 according to your table
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?
x=____
-1, it's fairly clear just from the table...
Answer:
-1
Step-by-step explanation:
Write an expression for: The sum of 5 times a number and twice a number is 42.
Answer:
42
Step-by-step explanation:
5x5=40 ----> 40+2=42