Answer:
The price of the cake is $24 and the price of the Pie is $15
Step-by-step explanation:
Given
Represent price of Cake with C and Price of Pie with P
[tex]C = 9 + P[/tex]
Cakes sold = 8
Pies sold = 14
[tex]Total = \$402[/tex]
Required
Determine C and P
To represent the cakes and pies sold, we have the following expression
[tex]8C + 14P = 402[/tex]
Substitute 9 + P for C
[tex]8(9+P) + 14P = 402[/tex]
Open the bracket
[tex]72 + 8P + 14P = 402[/tex]
Collect Like Terms
[tex]8P + 14P = 402 - 72[/tex]
[tex]22P= 330[/tex]
Divide both sides by 22
[tex]P = \frac{330}{22}[/tex]
[tex]P = 15[/tex]
Recall that
[tex]C = 9 + P[/tex]
[tex]C = 9 + 15[/tex]
[tex]C = 24[/tex]
Hence, the price of the cake is $24 and the price of the Pie is $15
company a operates stores under multiple banners in 34 states in the us a. how many states do not have a store operated by company a? b. what fraction of states do not have a store operated by company a?
Answers: 16 states and [tex]\frac{16}{50}[/tex]
Explanation:
Question A involves finding the number of states that do not have a store operated by company A. This can be easily found by subtracting the number of states where the company operates stores, which is 34 states, from the total of states, which is 50.
50 - 34 = 16
This means 16 states do not have a store operated by this company
Question B involves writing a fraction to represent the number of states that do not have a store operated by the company. A fraction includes a numerator (top number) that represents the parts selected (number of states without a store: 16), and a denominator, which is the total of parts (total of states: 50). Thus, the fraction is [tex]\frac{16}{50}[/tex]. Moreover, this can be simplified as [tex]\frac{8}{25}[/tex] by dividing both numbers by the seame number (2).
A 3-gallon bottle of bleach costs $14.88. What is the price per quart?
Answer:
1.24
Step-by-step explanation:
there are 4 quarts to a gallon. you have 3 gallons. so you have 12 quarts. 14.88 divided by 12 is 1.24! hope this helps! :)
The radius of the circle has a length of units.
Answer: 10 units
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
Edg 2021
Help me
What is 1/2 divided by 2/3
Answer: 0.75 = 3/4
Step-by-step explanation: To solve, flip the second fraction and multiply the numerators and denominators together and simplify.
Answer:
3/4Step-by-step explanation:
[tex]\frac{1}{2}\div \frac{2}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=\frac{1}{2}\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}=\frac{1\times \:3}{2\times \:2}\\\\=\frac{3}{4}[/tex]
What vector points from the origin to the point (3, -2, 3)?
PLEASE PLEASE HELP
Answer:
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
Step-by-step explanation:
Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:
[tex]\vec v = (3,-2,3)-(0,0,0)[/tex]
[tex]\vec v = (3-0,-2-0,3-0)[/tex]
[tex]\vec v = (3,-2,3)[/tex]
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
To solve the problem we must know about Vector points.
PointA point is a position in space. It is represented by a dot.
VectorA vector is something that has both magnitude and direction but no fixed position in space. it is represented by an arrow pointing in a particular direction.
Vector pointsWhen we draw vectors, we attach them to specific points, but we should remember that the vector has no fixed position. These points are known as vector points.
The vector will point toward the point (3, -2, 3) in space.
Given to usvector points = (3, -2, 3)Origin, (0, 0, 0)SolutionAs we know a vector has no fixed position in space, but it points towards its final condition starting from the initial condition. Therefore, its tail is towards the initial condition while its arrowhead is towards the final condition. Thus,
Vector calculationFinal condition - Initial Condition
= (3, -2, 3) - (0, 0, 0)
= (3-0, -2-0, 3-0)
= (3, -2, 3)
Hence, the vector will point toward the point (3, -2, 3) in space.
Learn more about Vector Points:
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A reflection will _________ change the size of a figure. * A Always B Sometimes C Never
Answer:
never
Step-by-step explanation:
Reflections do not change the size or shape, just the location of the figure
Write 7.96 as a mixed number in simplest form
Answer:
199/25
Step-by-step explanation:
Answer:
7 24/25
Step-by-step explanation:
The whole number, 7, does not change. The decimal becomes 96/100 which simplifies to 24/25 when you divide by 4.
Hope this helps :-)
Algebraic Proofs CC
Fill in the Reason for #1
Statements
1. 5(x + 3) = 2x + 3
Reasons
HELP!!!IT IS MY WORST ENEMY.....MATH!!!!!!!!I WILL GIVE THE CROWN TO THE FIRST PERSON
WHO ANSWERS MY NEXT 2-3 EASY QUESTIONS!!!!
Answer:
Step-by-step explanation:
Answer:
i kill math for u
Step-by-step explanation:
What is the probability of rolling a 6 sided die and it lands on a 5 or 6
Answer:
1/3 or 33.3%
Step-by-step explanation:
You can roll a 1 2 3 4 5 or 6
If you want a 5 or 6 there is a 2 in 6 chance which is the same as 1 in 3.
1/3 = .333333 which can be expressed at 33.3%
Please please help !
Identify the slope, m, and y-intercept, b, of the equation. Then graph the line described by the equation.
y=1/4x
Part A
Identify the slope, m, and y-intercept, b, of the equation.
y=1/4x
Identify the slope, m, and y-intercept, b, of the equation y=1/4x Enter the correct values in the boxes.
m=_;b=_
Answer:
m = 1/4 b = 0
Step-by-step explanation:
We know that the slope-intercept form of a line is y=mx+b and that our equation is y=1/4x or y=1/4x+0 so m = 1/4 and b = 0
I need help with my math
Answer:
okNeed more practice? Just not getting it? Get Math help
Read each sentence. Then, use the drop-down menus to identify the types of figurative language used. I must be popular because my phone is blowing up. Her smile lit up my day. The dog continued to bark, speaking with authority. He wept like a faucet.
Answer:
I must be popular because my phone is blowing up.
✔ hyperbole
Her smile lit up my day.
✔ metaphor
The dog continued to bark, speaking with authority.
✔ personification
He wept like a faucet.
✔ simile
Step-by-step explanation:
Answer:
I must be popular because my phone is blowing up. hyperbole
Her smile lit up my day. metaphor
The dog continued to bark, speaking with authority. personification
He wept like a faucet. simile
Step-by-step explanation:
Sean set a lure while playing Pokemon Go. He caught 12 Pokemon in 30 minutes. On
average, how many Pokemon did he catch each minute?
HELPPPPPP
Answer:
0.4 pokemons per min
Step-by-step explanation:
12/30=0.4
Answer:
i thought u played pokemon go
Step-by-step explanation:
What is equation of a line that is parallel to the line y=5x+8 and passes through the point (1,-3)
Answer:
The answer is
[tex]y = 5x - 8[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line.
From the question , the original line is
y = 5x + 8
Comparing with the general equation above
Slope / m = 5
Since the lines are parallel their slope are also the same
Slope of parallel line = 5
Equation of the line using point (1,-3) and slope 5 is
[tex]y + 3 = 5(x - 1) \\ y + 3 = 5x - 5 \\ y = 5x - 5 - 3[/tex]We have the final answer as
[tex]y = 5x - 8[/tex]Hope this helps you
How many combinations are possible on a 4 number computer cable lock. each space can be any number 0-9 . The only exception is that all four numbers cannot be the same. How many combinations are possible ?
Answer:
5040
Step-by-step explanation:
Given
Digits: 0 - 9
Required
Number of combinations of 4 digits where no repetition is allowed
First, we need to count the number of digits
[tex]Number = 10[/tex]
Then, we perform the following analysis.
The first space can contain any of the 10 digits;
The second space can contain any of the remaining 9 digits;
The third space can contain any of the remaining 8 digits;
The fourth space can contain any of the 7 digits;
Hence; the umber of combination is
[tex]Number = 10 * 9 * 8 * 7[/tex]
[tex]Number = 5040[/tex]
Hence, there are 5040 possible combinations
A radio station is having a T-shirt design contest. The first prize is four times the second prize. The second price is four times the third prize. The third price is $50. How much is the first prize?
Does anybody understand this?
Click on the graphic to find the correct line of reflection.
Answer:
that one is already correct
please help me i’m struggling over her
Answer:
Step-by-step explanation:
Its the last graph.
The blue graph is the function y = |x|.
The red one is the graph of y = 5|x|.
This is a vertical stretch of factor 5.
How many places after the decimal point does the equivalent decimal have if: a. the denominator of the fraction is 10 b. the denominator of the fraction is 100? Look at your answers to problem 4. Explain the reasoning you used to find the answers.
Answer:I think A is the answer sorry if I’m wrong
Step-by-step explanation:
The equivalent decimal have 1 places right after the decimal point, if
the denominator of the fraction is 10.
And, The equivalent decimal have 2 places right after the decimal point, if
the denominator of the fraction is 100.
Here,
We have to determine places after the decimal point does the equivalent decimal have,
The denominator of the fraction is 10 and the denominator of the fraction is 100.
What is Decimal representation?
A decimal number is a number where the integer part is separated from the fractional part with the help of a decimal point.
Now,
Let the number 2 in numerator,
Denominator = 10
Then, Fraction = 2/10 = 0.2
Hence, The equivalent decimal have 1 places right after the decimal point.
Let the number 3 in numerator,
Denominator = 100
Then, Fraction = 3/100 = 0.03
Hence, The equivalent decimal have 2 places right after the decimal point.
So, The equivalent decimal have 1 places right after the decimal point, if
the denominator of the fraction is 10.
And, The equivalent decimal have 2 places right after the decimal point, if
the denominator of the fraction is 100.
Learn more about the Decimal representation visit:
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need asap! solve for x
Answer:
It's 15
Step-by-step explanation:
(5x+12) (6x+3)=180
5x+6x+12+3=180
11x+15=180
11x=180-15
11x=165
x=165/11
x=15
hope this helps :)
can you help me find this ans
Answer:
Step-by-step explanation:
50 = 19 + 8 + x
50 - 27 = x
x = 23
Number of students = 50
Apples = 19
Bananas = 8
Other fruits = 23
Percentage of students who chose apples =
19/50 × 100 =
38%
Percentage of students who chose bananas =
8/50 × 100 =
16%
Students that didn't chose apples =
50 - 8 = 42
42/50 × 100 =
84%
Students that didn't chose apples or bananas = 23
23/50 × 100 =
46%
Rashad works at an appliance store. He earns 10
percent of the total amount he sells. The table shows
the amount of sales he made in one day.
Answer: what is the total amount of Rashad's sales? 1,380
How much does Rashad earn from his sales? 138
Edg.
Step-by-step explanation:
Answer:
1,380 , 138
Step-by-step explanation:
Edge 2021
Can someone answer these questions please I been stuck on this all day
Answer: Carpet required: 35 square yards. Cost: $700.
Wallpaper required 185 square feet, 4.2 double rolls needed, but you must buy full rolls. So 5 rolls will cost $125.
Step-by-step explanation:
Multiply the dimensions of the floor to get total square footage. Divide by 9 to convert to square yards.
314.5 ÷ 9 = 34.944. Round to 35 square yards. Multiply by $20 to get the cost of the carpet.
Multiply the dimensions of the wall to get total square footage.
Divide by 44 to get the number of rolls needed. Partial rolls not allowed. So it's 5 rolls times the $25 per "double roll." $125 is the cost.
Factor the expressions.
Step by step please.
x^(2)+34x+120
Answer:
(x+4)(x+30)
Step-by-step explanation:
when the equation is x^2+bx+c=0
-b is the sum of the zeroes and c the product
so -34=-30-4 is the sum of the zeroes
120=30*4 is the product
so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)
Answer:
(x+4)(x+30)
Step-by-step explanation:
sorry i am late...
A box has dimensions of 17 inches long, 1.3 feet wide, and 8 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h. Please show how you got the answer. 2121.6 cubic inches (in3) 176.8 cubic inches (in3) 14.7 cubic inches (in3) 1.2 cubic inches (in3)
Answer:
176.8
Step-by-step explanation:
If you multiply all three numbers you get 176.8
The boiling point of water is 212°F. The boiling point of helium is –452°F. How would you compare the temperatures using an inequality?
Answer:
-452°F < 212°F
Step-by-step explanation:
Please help me asap!! anything helps I'm really lost in this question if you know part of the question pleas answer. thank you!<3
1.
term number sequence A sequence B
0 -1 ¹/₂
1 2 1
2 5 2
3 8 4
4 11 8
5 14 16
6 17 32
2.
Every new term of sequence A is produced by adding 3 to the previous term
3.
Every new term of sequence B is produced by multipling the previous term by 2
4.
In a geometric sequence each term is found by multiplying the previous term by a constant. It means the sequence B is geometric, the constant is 2.
ΔABC ~ ΔDEF. What is the length DF?
ΔABC ~ ΔDEF
that means the ratio of DF to AC = the ratio of DE to AB
[tex]x:3.5 \\6:4[/tex]
cross multiply
[tex]4x=6(3.5)\\4x=21\\x=\frac{21}{4}\\ x= 5.25[/tex]
so DF = 5.25 cm
-3 squared + (-4 + 7) (2)
Steps:
Add
−9 and 6.
Answer:
−3
Hope this helps (●'◡'●)