Jean and Sarah are buying tubs of ice cream. 2 scoops of ice cream are twice the price of 1 scoop of ice cream. Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. Sarah spends 2.50 € less than Jean.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x
Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:
Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x
Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:
Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x
Sarah spends 2.50 € less than Jean. Therefore:
Money spent by Sarah = Money spent by Jean - 2.5
8x = 10x - 2.5
2x = 2.5
x = €1.25
Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.
Money spent by Jean = 10x = 10(1.25) = €12.5
Money spent by Sarah = 8x = 8(1.25) = €10
how to factorise
25x²- 64y²
Answer:
(5x + 8y)(5x - 8y)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.
~Hoped this helped~
The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
Kim got to the store at 11:19 in the morning. She spent 24 minuets in the store how many minuets after she got to the store and left?
Answer:
11:43 am
Step-by-step explanation:
Given data
Time of arrival= 11:19 am
We are told that she spent 24 minutes in the store
Based on this, we can estimate the time she left the store
The time she left
=11:19+ 24
=11:43 am
Hence she left 11:43 am
Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm
Answer:
1196
Step-by-step explanation:
trust me i checked the answer!
can someone please help me??
Answer:
There is only one solution and it is the point of intersection
Step-by-step explanation:
Can somebody help me solve for x?
Answer:
x = 18
Step-by-step explanation:
80 / 48 = 30 / x
80x = 1440
x = 18
josh has 1/4 gallon of orange juice he wants to share it equally between to friends and himself. how much orange juice will each person drink? a 1/12 b 1/8 c 1/3 d 3/4
Answer:
a
Step-by-step explanation:
1/4 divided by 3 = 1/(4*3) = 1/12
Convert to equation: four times a number increased by 8 is 24
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
The triangles below are similar. 410R 85° 540 859 Which similarity statements describe the relationship between the two triangles? Check all that apply.
The candy store has a stock of candy. They have 15 bags of tootsie rolls, 10 boxes of nerds, 12 bags of gummy
bears, 5 bags of M&M's and 22 bags of skittles. Find the ratio of nerds to skittles. Be sure to simplify.
Answer:
ratio of nerds to Skittles
= 10:22
= 5:11
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
The cheerleading squad at Kensington High School had 18 members with the old coach. Now, with the new coach, there are 50% more members on the squad, how many members are on the squad now
Answer:
27 members
Step-by-step explanation:
So we have 18 members and we see a 50% increase in members.
So:
Now the squad is 150% of 18
We can set up a percent proportion
x/150=18/100
To solve, we do:
(150*18)/100 = x
27 = x
There is an easier way to do this with benchmark fractions.
We find 50% of 18 which is 9
And since it's a 50% increase, we add 9 to 18 and get 27
Let me know if you have any questions
Answer:
B) 8 + J
(It's saying my answer is too short, not too sure why)
Mae Ling earns a weekly salary of $345 plus a 7.0% commission on sales at a gift shop. How much would she make in a work week If she stood $4,300 worth of merchandise?
She would make $________?
Answer:
She would make $646.00
What is the recursive formula for the following sequence? 3,9,27,81
Answer:
243
Step-by-step explanation:
multiply each number by 3
Jennifer has 12 nickels and dimes. The value of her coins is $1
Answer:
4 dimes, 12 nickels
Step-by-step explanation:
nickels are worth 5 cents,
12x5=60
$1 is worth 100 cents
100-60 is 40
dimes are worth 10 cents
40 / 10 is 4
so 4 dimes
The number of dimes = 8 dimes
The number of nickels = 4 nickels
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of nickels be = x
Let the number of dimes be = y
Now , the total number of coins = 12
So , the equation will be
x + y = 12 be equation (1)
Now , the total value of coins = $ 1
The value of 1 dime = $ 0.10
The value of 1 nickel = $ 0.05
So , the equation will be 0.05x + 0.10y = 1 be equation (2)
Multiply equation (2) by 100 , we get
5x + 10y = 100 be equation (3)
Multiply equation (1) by 5 , we get
5x + 5y = 60 be equation (4)
Subtracting equation (4) from equation (3) , we get
5y = 40
Divide by 5 on both sides of the equation , we get
y = 8
Therefore , the value of y = 8
Substitute the value of y in equation (1) , we get
x + y = 12
x + 8 = 12
Subtracting 8 on both sides of the equation , we get
x = 4
Therefore , the value of x is 4 and value of y is 8
Hence , The number of dimes = 8 dimes
The number of nickels = 4 nickels
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Kindle wrote a five page report with 250 words per page how many words are in the report ?
Answer:
The answer is 1250
Step-by-step explanation:
5×250=1250
Answer:
1250
Step-by-step explanation:
number of words on one page= 250
number of pages= 5
total number of words=250 x 5
=1250
There 1250 words in the report
PLEASE MARK ME AS BRAINLIEST!!!!!
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
10 per bottle and Reyna Puti is priced at Php 15 per bottle. If he needs a
total sales of Php 600.00, how many bottles of Reyna Puti should he sell if
there were already 30 bottles of Silver duck sold?
Answer:
Reyna Puti sold = 20 bottles
Step-by-step explanation:
Silver duck = Php 10 per bottle
Reyna Puti = Php 15 per bottle
Silver duck sold = 30 bottles
Reyna Puti sold = x bottles
Total sales = Php 600.00
Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold
600 = 10 * 30 + 15 * x
600 = 300 + 15x
600 - 300 = 15x
300 = 15x
x = 300/15
x = 20 bottles
Reyna Puti sold = 20 bottles
solve -3 (x + 1) - 2x= -6
A x=1
B x=5
C x = -7
D x = -9
Answer: C
Step-by-step explanation:
Please help me I am struggling I’m only 11
Answer:
-1/3(b+21)
Step-by-step explanation:
Answer:
Hope this helps, thank you !!
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Step-by-step explanation:
Write multiplication and division equations to model and solve the problem. Use m for the unknown
The table shows how many hours Sara spent at several activities one Saturday.
Activity "Hours
Soccer practice 2
Birthday party 3
Science project 1
What is the ratio of hours spent at soccer practice to hours spent at a birthday party?
Choose 1 answer:
1 for every 2
B
2 for every 1
2 for every 3
3 for every 2
Answer:
Its2 for every 3
Step-by-step explanation:
Giovanni is heating up mini frozen pizzas in the microwave. Each pizza takes 3 ¾ minutes to cook. How long will it take Giovanni to heat up 3 pizzas? *
Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]
Number of pizzas with Giovanni = 3
Time that will be taken to heat up 3 pizzas :
[tex] =\tt 3 \frac{3}{4} \times 3[/tex]
[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]
[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]
[tex] = \tt\frac{15}{4} \times 3[/tex]
[tex] = \tt \frac{15 \times 3}{4} [/tex]
[tex] = \tt \frac{45}{4} [/tex]
[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]
Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.
will mark brainliest
(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work
Y=-x-2
2x-3y=-9
Solve for x and y
Answer:
y = - x - 2
2x - 3y = - 9
put value of y
2x - 3(-x - 2)= -9
2x +3x +6 = - 9
5x = - 9 - 6
5x = - 15
x = - 3
now put x in y = - x - 2
y = - (-3)-2
= 3-2
y = 1
I’m stuck I need help please.
Answer:
6
Step-by-step explanation:
30+25n=90+15n
10n=60
n=6
Answer:
She would have to buy 4 personal training sessions
Step-by-step explanation:
30 + 25 + 25 + 25 (3 training sessions)
= 105
90 + 15 (1 training session)
= 105
pls help. i really need help on this!!
(pls dont waste my time or just take away points for fun. Whoever gets the correct answer will be marked brainliest. I need explanation how to do it)(i would apresiate your help)
a, b, c, d, h, and i.
Answer:
a.) $10.50
b.) $45.00
c.) about 66.67%
Step-by-step explanation:
a.) regular price = 15.00
discount = 30% or 0.3
15 x 0.3 = 4.50 ----------> this is the amount that you will have off
15.00 - 4.50 ---------> by subtracting from original price, you have sale price
= $10.50
b.) bought price = 25.00
marked up = 80% or 0.8
25.00 x 0.8 = 20 -------> this will give you 80% of 25
25.00 + 20.00 ------> she sells for 80% higher, so add the numbers
= $45.00
c.) original price = 36.00
bought price = 36.00 - 12.00
= 24
24 / 36 -----> divide bought price by original to find what percentage it is
= .66666 which is rewritten as 66.667%
you can check this by multiplying that percentage by the original price
hopefully this helps a little bit
(2x + 1, XS-5
f(x)= x?, -5
3-x, x5
f(-10) =
f(2) =
f(-5) =
f(-1) =
f(8) =
Answer:
Step-by-step explanation:
The value of the function is given by the relation
f ( x = -10 ) = -19
f ( 2 ) = 4
f ( -5 ) = 25
f ( -1 ) = 1
f ( 8 ) = -5
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = { 2x + 1 when x ≤ 5
x² when -5 ≤ x ≤ 5
3 - x when x ≥ 5 }
Now , the value of the function is given by
when x = -10
f ( -10 ) = 2 ( -10 ) + 1
f ( -10 ) = -19
f ( 2 ) = 2²
f ( 2 ) = 4
f ( -5 ) = ( -5 )²
f ( -5 ) = 25
f ( -1 ) = ( -1 )²
f ( -1 ) = 1
f ( 8 ) = 3 - 8
f ( 8 ) = -5
Hence , the function is solved
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