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].
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
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:
5=45 ÷
What is the answer
45 ÷ 5 = 9
So, 5 = 45 ÷ 9
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.
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
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:
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
I’ll mark brainliest
Evaluate the following expression for
m= -3
N= 4
P= 2
(4) / (2) + (-3)
4/2 - 3
4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )
4/2 - 6/2
-2/2 ( simplify )
-1 is the answer
Please help me answer this question!
Answer:
D. -3 and 3
Step-by-step explanation:
We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.
Option A:
If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.
Option B:
As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.
Option C:
If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.
Option D:
We know that -3 is a possible input so we just need to check 3 as an input.
If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.
Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.
Best of Luck!
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).
Nick's phone bill is $50 per month plus $0.25 for every text message. If his bill was $108 this month, how many
text messages did he send?
Answer:
232 text messages
Step-by-step explanation:
108 - 50 = 58
[tex]58 \div .25[/tex]
232 text messages
Yw :)
The two angles below are complementary. Solve for r and round your
answer to the nearest tenth.
Answer:
70
Step-by-step explanation:
During an investigation on speed, a ball rolls down a ramp a distance of 8 m in a time of 2 seconds. What is the average speed of the ball in m/s?
Answer:
4 m/s
Step-by-step explanation:
To find the average speed of the ball, divide the number of meters by the number of seconds:
8/2
= 4
So, the average speed of the ball is 4 m/s
Distribute 3(x^2+2x)
Answer:3
3[tex]x^{2}[/tex]+6x
is this what you want?
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
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 :)
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
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.)
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.
A bakery sold a total of 80 cupcakes in a day, and 95% of them were chocolate
flavored. How many of the cupcakes sold that day were chocolate flavored?
Answer:76
Step-by-step explanation:
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:
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
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
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:
:)
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.
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
Vincent counts 30 dimes and 87 pennies in a bowl. How many more pennies
than dimes are in the bowl?
Answer:
57
Step-by-step explanation:
87-30=57. That means that there are 57 more pennies than dimes in the bowl.
Answer:
subtract 30 from 87
Step-by-step explanation:
87-30
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