Answer:
C = 7x + 5y
Step-by-step explanation:
Algebraic Expressions
Erica purchased tickets for a movie. It's given each adult ticket cost $7 and each youth ticket cost $5.
If each adult ticket cost $7 and she bought x tickets, then she spent 7x dollars on adult tickets.
Similarly, if each youth ticket cost $5 and she bought y tickets, then she spent 5y dollars on youth tickets.
The total cost C is the sum of the individual costs, thus:
C = 7x + 5y
Enter the solution to the equation in the box.
2(x−3)=8(x−6)
Answer:
x=7
Step-by-step explanation:
2(x−3)=8(x−6)
2x-6=8x-48
2x-8x=-48+6
-6x=-42
x=7
If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4
Find an equation connecting ‘c’ and ‘d’
Find ‘c’ when d = 8
Find ‘d’ when c = 54
Answer:
When d = 8
c = 48
when c = 54
d = 9
Step-by-step explanation:
We have the equation c is proportional to d
[tex]c \: \: \: \alpha \: \: d[/tex]
ie
[tex]\frac{c}{d} = \: a \: constant[/tex]
here given that c = 24 and d = 4 so,
[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]
so we have to find values for c and d which gives
c/d = 6
so when d = 8
[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]
Answer:
c = 6dc = 48 when d=8d = 9 when c=54Step-by-step explanation:
We know:
‘c’ is directly proportional to‘d’
and
c = 24 when d = 4
W can write this in mathematical form as:
c∝d
Removing the proportionality symbol, k is the constant of proportionality
c = kd
To find the value of k, putting the known values of c and d
[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]
So the equation becomes
[tex]c = 6d[/tex]
To find the value of c when d = 8
[tex]c = 6*8\\c = 48[/tex]
To find the value of d when c=54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
c = 6dc = 48 when d=8d = 9 when c=54Preston uses 2 cups of nuts for every 3 cups of raisins to make trail mix. How many cups of
nuts will he need if he uses 12 cups of raisins?
9 Cups
8 Cups
10 Cups
5 Cups
Answer:
I'm pretty sure it's B. 8 cups
The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?
Answer:
15.243125
Step-by-step explanation:
we need to calculate how much would be the tax for 14.5$
so 14.5 * 5.125% = 0.743125
and then we will add that to 14.50
i dont feel like doing this i have to
Solve for X
17
47
34
13
Answer:
So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°
Step-by-step explanation:
Sorry if that’s confusing
Answer:
x = 17
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
94° is an exterior angle of the triangle, thus
2x + 60 = 94 ( subtract 60 from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.
Answer:
(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]
Step-by-step explanation:
[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]
Pls help fast will give brainliest
Answer:
23
Step-by-step explanation:
6×3+5(3-2)
6×3+5×1
18+5
23
find the least number that must be added to 1400 so as to get a perfect squre. full explanation
Answer:
so what is the next perfect square after 1400? That's what they are asking.. so I used my calculator to find it..
Step-by-step explanation:
the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is 1444 so now we know.. to add 44 to 1400 .... that's your answer 44
Gina will pay $14 for the
fabric at a craft store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
Answer:
$15.19
Hope this helped!
Step-by-step explanation:
Write an equation
8.5% of 14 =
Convert percent into decimal:
8.5% = 0.085
"Of" means to multiply so multiply 0.085 to 14
0.085 x 14 = $1.19
14 + 1.19 = 15.19
Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is =
Answer/Step-by-step explanation:
The equation that relates the proportional quantities would take the following form ---› [tex] y = kx [/tex], where,
y = amount of Grape juice (dependent variable)
x = amount of Apple juice (independent variable)
k = constant of proportionality (y/x)
✔️Using any of the given pair, say, (5, 8),
Constant of proportionality = [tex] k = \frac{y}{x} = \frac{8}{5} = 1.6 [/tex]
Substitute k = 1.6 in [tex] y = kx [/tex].
An equation that represents the proportional relationship would be:
[tex] y = 1.6x [/tex]
Or
[tex] y = \frac{8}{5}x [/tex]
How the equation would change if:
y = amount of Apple juice (dependent variable)
x = amount of Grape juice (independent variable)
The constant of proportionality would change, that is using a pair, say, (8, 5),
[tex] k = \frac{y}{x} = \frac{5}{8} = 0.625 [/tex]
Substitute k = 0.625 in [tex] y = kx [/tex].
The equation would now be:
[tex] y = 0.625x [/tex].
Or
[tex] y = \frac{5}{8}x [/tex]
A circular region has a population of about 250,000 people and a population density of about 125 people per square mile. Find the radius of the
region. Round your answer to the nearest hundredth.
The radius of the region is about
miles
Answer:
2.5 km
Step-by-step explanation:
1/7 (63n-77)=11+9n please answer
Step-by-step explanation:
if you are satisfied with the results then plz make me genius
A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150
Answer:
A
Step-by-step explanation:
y = -3x + 150
I hope this is right.
If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21
simplify and express in a + bi form: (12 + 3i) - (3 - 1)
Answer:
10+3i
Step-by-step explanation:
Subtract 3 and 1 which is 2, Now the equation looks like this:
(12+3i)-(2)
Multiply the negative with 2:
12+3i-2
Subtract 12 and 2:
10+3i
Answer: 10+3i
Hope this helps!
Need help ASAP!!
Find the unknown side of the triangle below.
A.) 24.5 in
B.) 13 in
C.) 20 in
D.) 25 in
Answer: B.
Explanation: That side is shorter than the other known sizes so it can’t be above 20
Answeruse pitaghora theorema
a2+b2=c2
21^2+x^2=29^2
441+x^2=841
x^2=400x=√400=20
any questions?why 3 stars tho
QUESTION ONE:
Solve for h.
Answer:
h = - 105
Step-by-step explanation:
Given
[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )
h = - 105
Answer:1.86
Step-by-step explanation:
ahhahanvm? shushaha bruh what do i do
\u gotta ask ur question
Step-by-step explanation:
Solve the equation
9x^2 - 64= 0
9x^2 + 64= 0
Answer:
x1= - 8/3 , x2= 8/3
Step-by-step explanation:
I will mark you and plz help me!!
Answer:
x f(x)
-9 9
-6 4
-3 -1
0 -6
Step-by-step explanation:
plz help asap i need help fast asap i will mark you brainlist
Answer:
What do you need help with?
Ricardo borrows $1850 for 8 months at 12% interest.
What is the amount he will pay back at the end of the
loan period?
How do you know?
Answer:
Ricardo will have to pay $1776 at the end of the loan period.
I know this because if you multiply 12% to 1850 you get 222.
Now you multiply 222 to 8 which gives you an answer of 1776.
Hope this helps. :)
Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?
a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake
Answer:
1/9 Is the answer
Step-by-step explanation:
Answer: C is the anwer ヾ(≧▽≦*)o
random...............
ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
An unbiased dice with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum value is not less than 2 and the maximum value is not
greater than 5 is:
a) 1/81 b) 80/81
c) 16/81 d) 65/81
Solution with some explanation
Step-by-step explanation:
Let us intepret this condition in our context:
"...that the minimum value is not less than 2 and the maximum value is not greater than 5"
This means that when we roll the dice, we do not want 1 or 6 to appear. Instead we wish for 2/3/4/5 to appear.
The probability of getting these four sides out of six in a roll is 4/6, or 2/3.
We have to roll this dice 4 times. Hence we raise the probability to a power of 4:
Total probability = (2/3)⁴
= (2)⁴ / (3)⁴
= 16/81. (C)
write 15% as a fraction step by step
Answer:
15/100
Step-by-step explanation:
15% is out of 100% so when writing it into a fraction it is 15 over 100, because 15% is out of 100%
Hint:If you want to put it into a decimal it will be 0.15 so when turning it into a fraction, the 1 is in the tenths place and the 5 is in the hundredths place.
Mario’s pizzeria makes an average of 23 pizzas per hour during this week. What is the probability that Mario will make 21 pizzas during an hour this week?
0.079
0.076
0.0000000027
0.073
PLZ HELP ME I BEG YOU!!!!!!!!!!!!!!
Sam has $92 and spends $5 every day. William has $41 and spends $2 every day. On what day will they have the same amount of money? Show work.
please help i’ll give brainliest! thank you!
Answer:
no correlation
Step-by-step explanation:
the dots are scattered randomly and not in a positive or negative correlation
2.5 years = (how many weeks)
Answer:
130.357 weeks
Step-by-step explanation: