The owner of a grocery store wants to mix two kinds of condy together to make 15lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.
Step-by-step explanation:
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Answer:
9 pounds of chocolate candy
6 pounds of sugar candy
Step-by-step explanation:
x will represent pounds of chocolate candies used
y will represent pounds of sugar candies used
x + y = 15
x · $7.00 + $2.00 · y = $5.00 · 15
x = 15 - y
(15 - y) · $7.00 + $2.00 · y = $5.00 · 15
105 - $5.00 · y = 75
105 - 75 = $5.00 · y
$30 = $5.00 · y
$30 ÷ $5 = y
$30 ÷ $5 = 6
y = 6
x + y = 15
x + 6 = 15
x + 6 - 6 = 15 - 6
x = 9
Does the graph represent a function?
Step-by-step explanation:
yes dear. .............
PLEASE HELP ASAP!!!!
Answer:
The correct Option is Option A
Account B because the principal of Account B is $300 and the principal for Account A is $150
Step-by-step explanation:
Interest earned from Account A = $ 4.50
Interest earned from Account B = $22.50
Time t = 18 months
Interest rate for Account A = 2%
Interest rate for Account B = 5%
We need to find which account has greater principal
The formula used to calculate principal is: [tex]Interest=Principal\times r \times t[/tex]
where r is rate and t is time
Finding Principal for Account A:
Interest earned from Account A = $ 4.50
Time t = 18 months = 1.5 years
Interest rate for Account A = 2% = 0.02
Putting values and finding Principal
[tex]Interest=Principal\times r \times t\\4.50=Principal\times0.02\times1.5\\Principal=\frac{4.50}{0.02\times1.5} \\Principal=\frac{4.50}{0.03} \\Principal=150[/tex]
So, The Principal Amount for Account A = $150
Finding Principal for Account B:
Interest earned from Account B = $ 22.50
Time t = 18 months = 1.5 years
Interest rate for Account A = 5% = 0.05
Putting values and finding Principal
[tex]Interest=Principal\times r \times t\\22.50=Principal\times0.05\times1.5\\Principal=\frac{22.50}{0.05\times1.5} \\Principal=\frac{22.50}{0.075} \\Principal=300[/tex]
So, The Principal Amount for Account B = $300
So, the correct Option is Option A
Account B because the principal of Account B is $300 and the principal for Account A is $150
Plz help me I need help
I'm not too sure but I think it's option
1. No, because only one angle of the triangle is congruent.
helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee
Answer: I think the answer is x = 4
Step-by-step explanation: 28 = 7x
/7 /7
4 = x
What is this answer?
Answer:
X intercepts (-30,0)
Y intercepts (0,-3)
PLEASE HELP!!!!
Which expression is a simplified form of
[tex]3x^{2} - 4x + 5 - x^{2} + 2x - 1[/tex]
[tex]a) \: 2x^{4} - 2x^{2} + 4 \\ b) \: 2x^{4} + 6x^{2} + 4 \\ c) \: 2x^{2} - 2x + 4 \: \: \\ d) \: 4x^{2} - 2x + 4 \: \: [/tex]
Answer: c) 2x² - 2x + 4
Step-by-step explanation:
What's the mean median and range of 5, 15, 10, 20,15 10, 15
Answer:
Mean = 12.85714
Median = 15
Range = 15
Step-by-step explanation:
Mean:
5 + 15 + 10 + 20 + 15 + 10 + 15 = 90
90 / 7 = 12.85714
Median:
5, 10, 10, 15, 15, 15, 20
Median = 15
Range:
20 - 5 = 15
Can someone help please I’ll give brainliest!
with what question???
Answer:
What do you need help with. i will help you.
i
Step-by-step explanation:
Find the distance between the points (7,5) and (7,-3)
Answer:
its eight on the y axis
Step-by-step explanation:
PLsss Someone help I can't figure it out?
Help please fast ahh
Answer:
the 2nd one
Step-by-step explanation:
-12 may be more in positive numbers but it is less in negative numbers
Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
i need help fast plsss
Write expressions for the following scenarios.
Albert, Bill and Carl are brothers.
Bill is 4 years older than Albert.
Carl is twice the age of Albert.
Write an expression for the sum of their ages.
Answer:
flaimgo/albert
Step-by-step explanation:
I don't understand this either what's this
Answer:
It's called a transversal lol
Step-by-step explanation:
I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol
Pls mark Brainliest.
help plsssssssss. cm.
Solve for m.
94 = 31 + 7m
Answer:
M = 9
Step-by-step explanation:
94 = 31 + 7m
63 = 7m
9 = m
Hope this helps. Pls give brainliest.
Tyler has $4.50 in a bank in his bedroom. Each day he adds $1.50 to it. Which equation can be used to find out how many days it will take for Tyler to save $30.00?
a
4.5 + 1.5x = 30.00
b
(4.5 + 1.5)x = 30.00
c
30.00 + 4.5 = 1.5x
d
4.5 × 1.5 × x = 30.00
Answer:
A
Step-by-step explanation:
From 83 hours to 76 hours? And is it a increase or decrease?
Answer:
decrease
Step-by-step explanation:
Answer:
decrease
Step-by-step explanation:
Solve linear equations
Solve for x
3х – 10 = 16
Answer:
x=26/3
Step-by-step explanation:
3x-10=16
add 10 to both sides
3x=16+10
simplify
3x=26
divide both sides by 3
x=26/3
Plsss. Help plalssssssa
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4 ?
Answer:
The property used here is: Multiplication property of Equality
Step-by-step explanation:
Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways
Way 1: Solving using proportion:
[tex]\frac{x}{4}=\frac{36}{16}[/tex]
By cross multiplying:
[tex]16x=144[/tex]
Divide both sides by 16
[tex]x=9[/tex]
Way 2:
She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps
Multiply both sides by 4
[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]
We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]
The property used here is: Multiplication property of Equality
The property states that if A , B and C are real numbers then
A = B and AC = BC are equivalent.
Answer:
C
Step-by-step explanation:
hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)
Answer:
I believe the answer is D
Step-by-step explanation:
after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver
Answer:
The answer seems to be D
Step-by-step explanation:
I cannot really confirm but I am most certain it is D.
Find the unit rate.
6,840 customers in 45 days.
UNIT RATE:
customers per day.
Answer:
152
Step-by-step explanation:
6840 divided by 45 is 152
To pass a quiz, students need a score of at least 32 points out of a total of 40 points. At least what percent do the students need to pass the quiz
Answer:
80%
Step-by-step explanation:
Hope this helps :)
Which expression is equivalent to (x⁶y⁸)³/x²y²
The equivalent expression is [tex]x^{16}y^{22}[/tex]
Create an equivalent expression without parentheses
-2(3x+4)
Answer:
-6x - 8
Step-by-step explanation:
-2(3x+4) = -6x - 8
this means the -6x - 8 is equivalent
Helppp ahhhhhhhh. Plzzzz
Answer:
15-67X/30X
Step-by-step explanation:
Solve the inequality x + 2 ≥ 8
Answer:
the answer is x ≥ 6
Step-by-step explanation:
x ≥ 8 - 2
x ≥ 6
