Answer:
k = 21
Step-by-step explanation:
Daniela, Kieu, and Cameron decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of$37.50. Use systems of equations to find the price of a large soft drink and the price of a large bucket of popcorn!
Answer:
Price of a large soft drink = $3
Price of large bucket of popcorn = $4.5
Step-by-step explanation:
Let the cost of one large popcorn = $P
And the cost of one large soft drink = $S
If Daniela, Kieu and Cameron avail the deal of Three Go Free,
3P + 3S = 22.50
P + S = 7.5 -----(1)
Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.
This trip cost them = $37.50
Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50
(3 × 8) + (3 × S) + P = 37.5
24 + 3S + P = 37.5
3S + P = 13.5 -----(2)
By subtracting equation (1) from equation (2),
(3S + P) - (P + S) = 13.5 - 7.5
2S = 6
S = $3
From equation (1),
P + 3 = 7.5
P = $4.5
Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5
Hi, I need help with this equation
[tex]9^7/9^n = 9^2[/tex]
what is the value of n?
Will give brainliest to accurate answer.
Distribute 3(x^2+2x)
Answer:3
3[tex]x^{2}[/tex]+6x
is this what you want?
Step-by-step explanation:
What is the slope of the line that contains these points?
Pls help
Answer:
-1
Step-by-step explanation:
m=y2-y1/x2-x1
-6-(-5)=(-1)
6-5=1
-1/1=(-1)
hope this helps :3
if it did pls mark brainliest
The sum of two numbers is 32 their difference is 10. Find the numbers.
The two numbers are: 21 and 11
Step-by-step explanation:
Let x and y be the two numbers.
x+y = 32
x-y = 10 Rewrite this as x = y+10 and substitute for x in the first equation.
(y+10) + y = 32 Simplify and solve for y.
2y+10 = 32 Subtract 10 from both sides.
2y = 22 Divide both sides by 2.
y = 11
x = y+10
x = 11+10
x = 21
Answer:
y = 11
Step-by-step explanation:
x + y = 32
10 + y + y = 32
10 + 2y = 32
2y = 22
y = 11
I think this is it plz don't get mad if it is wrong
if you answer this your really cool B)
Answer:
5
Step-by-step explanation:
they are vertical angles
Answer:
5
Step-by-step explanation:
8 is the opposite and therefore the same angle across the line m
Which number sentence has the solution of a = 16?
1.) a/2 + 2 = 6
2.) a/4-3 = 1
3.) a/6 + 4 = 2
4.) a/2 - 12 = 20
The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The monitoring equipment reveals that the mean daily discharge per factory (calculated as total areal discharge divided by total areal factories) is 30.2 tons with a standard deviation of 9.1 tons. Construct a confidence interval for the true population mean of pollutant discharge using a 95% level of confidence.
Answer:
The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).
Step-by-step explanation:
Let X represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.
The monitoring equipment reveals that for the 28 days of the February month
Mean daily discharge per factory, ([tex]\bar x[/tex]) = 30.2 tons
Standard deviation daily discharge per factory, (s) = 9.1 tons
Compute the critical value of t for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:
[tex]t_{0.05/2, 27}=2.052[/tex]
*Use a t-table.
Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)[/tex]
Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).
is it proportional or non proportional
Answer:
proportional
Step-by-step explanation:
13/2=6.5
19.5/3=6.5
26/4=6.5
32.5/5=6.5
so if all equal the same they are proportional
Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.
Given:
Fixed fee = $40
Additional fee = $15 per hour
To find:
The equation to represent Bob's cost to repair his refrigerator.
Solution:
Let y be the total cost for x hours.
Additional fee for one hour = $15
Additional fee for x hour = $15x
Total cost = Fixed fee + Additional fee
[tex]y=40+15x[/tex]
Therefore, the required equation is [tex]y=40+15x[/tex].
a line in point-slope form that goes through the points (8,-9) and (-4,15).
Answer: The answer is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
5=45 ÷
What is the answer
45 ÷ 5 = 9
So, 5 = 45 ÷ 9
Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?
Answer:
5 yards
Step-by-step explanation:
7y+3y=10yards
15yards-10yards=5yards
The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?
Answer:
it was decreased by 67%
Step-by-step explanation:
Answer:
67 %
Step-by-step explanation:
Use the distributive property to simplify the following expression-(8+b)
Do you see the negative sign in front of the parentheses? That is -1.
Multiply each term inside the parentheses by -1.
Doing so, we get -8 -b.
please help me 30 points
Answer:
Hope your having a great day.
Step-by-step explanation:
God Bless, and try not to stress to much about school your doing great :)
What are some Integers that are not whole numbers? Please help its due tomorrow!! and its currently 8pm. I need this! I'll give you brainliest.
Answer:
0,-1,-2,-3,-4,-5,-6,-7
Step-by-step explanation:
Any negative number is an integer, that is not a whole number
Please help me solve this problem
Answer:
x=2
Step-by-step explanation:
because if you put the equation as in x+11=6x+1 and do the equation you'll get x=2
What is the additive Inverse (zero pair) of 3k
Answer:
-3000
Step-by-step explanation:
an additive inverse of a number is a number, when added to, makes zero. So if its 3000 than the inverse would be -3000 since it equal 0
Please find X. I need help!
There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have
2/3 = (2 + x) / (3 + (x + 7))
Solve for x :
2/3 = (2 + x) / (10 + x)
2 (10 + x) = 3 (2 + x)
20 + 2x = 6 + 3x
14 = x
I have a riddle for you I have 31 82,400,060 tens and 100 hundreds
Answer: 31824010600
Step-by-step explanation: 3182400060 tens and 100 hundreds = 31824010600.
Which algebraic expression represents the perimeter of the rectangle?
2x + 2
4x + 3
Answer:
12x + 10
Step-by-step explanation:
Combine the like terms. 4x + 2x and 2 + 3. Parallel sides, 6x times 2 which is 12x. 5 times 2 which is 10. Therefore, your answer is 12x + 10
hi someone pls help me with #2
Answer:
B
Step-by-step explanation:
STORAGE COSTS According to a certain prediction equation, the cost of 200 square feet of storage space is $60. The cost of 325 square feet of storage space is $160. Find the slope of the prediction equation (in decimal form). Use the prediction equation to calculate the cost of 520 square feet. (use slash symbol to separate both answers, do not space)
Answer: for the first one it would be y=.8x-100 and the other answer would be 180
Let me know ASAP pls if it’s correct I found the answer online
Answer:
Full answer is
.8 for 1st one
and 360 for 2nd one
Step-by-step explanation:
Correct answer was given after wrong one.
i need help with this
Answer:
answer is A
Step-by-step explanation:
This symbol is called a tilde. In symbolic logic (a field of math
used a lot in computer sciences) it is used to denote "not." For
example, ~A means "not A." In some other contexts, it means
"approximately." For example, pi ~= 3.1416. (Note that sometimes it is
written above the equal sign, and sometimes it is used without an
equal sign - it depends on the situation and the publisher.)
A large spherical balloon is being deflated. When the radius of the balloon decreases from 10 ft to 5 ft, approximately how much
volume has it lost?
A)
825 ft
B)
3665 ft?
C)
5726 ft3
D)
7259 ft
Answer:
d. 7258
Step-by-step explanation:
:)
if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money)
$13.35 rougly around that
A ball thrown straight up in the air travels 90 inches in the first tenth of a second. In the next tenth of a second the ball travels 85 inches. After each additional tenth of a second, the ball travels 5 inches less than it did during the preceding tenth of a second. How long will it take before the ball starts coming back down? What is the total distance that the ball has traveled once it reaches its maximum height?
Answer:
855
Step-by-step explanation:
1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:
Time | Inches traveled
0.1 | 90
0.2 | 85
0.3 | 80
0.4 | 75
0.5 | 70
0.6 | 65
0.7 | 60
0.8 | 55
0.9 | 50
1.0 | 45
1.1 | 40
1.2 | 35
1.3 | 30
1.4 | 25
1.5 | 20
1.6 | 15
1.7 | 10
1.8 | 5
1.9 | 0
90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855
Use the dropdowns to fill in the outputs for the given inputs, using the function y=-2x+1
x y
-3 ?
-1 ?
2 ?
0 ?
pls help
Guys i need it asap
Carter is hying to guess his friend Abby s middle initial. Abby said her middle initial has exactly two lines of
symmetry. Which letter could be Abby s middle initial?
Answer:did u get the answer...
Step-by-step explanation: