If UV = 13, VW = 3x − 5, and UW = 5x − 18, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer.
I got stuck here. If you could (or not) type step by step.
Answers
Since UV and VW make up UW, we can set add together UV and VW and set them equal to UW.
5x - 18 = 13 + 3x - 5
Let's combine like terms on the right side.
5x - 18 = 3x + 8
Subtract 3x from both sides and add 18 to both sides.
2x = 26
Divide both sides by 2
x = 13
We know that UW = 5x - 18. Let's plug 13 in for x.
UW = 5(13) - 18 = 65 - 18 = 47.
Related Questions
A self-serve car wash charges $5.20 to use its facilities, plus an additional $0.66 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 9 minutes, how much was she charged?
A.$11.14
B.$14.20
C.$5.94
D.$5.86
Answers
The required amount charged to Tiffany for 9 minutes of the car wash is $11.14. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The additional charge for the time Tiffany was at the car wash was $0.66 per minute, so the total charge for 9 minutes would be
= $0.66 * 9
= $5.94.
Adding this to the original charge of $5.20 gives a total charge,
= $5.20 + $5.94
= $11.14.
Therefore, Tiffany was charged A) $11.14.
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Yoko has a rectangular poster that is 15centimeters long and 12 centimeters wide. What is the area of the poster in square meters.
Answers
Answer:
44
Step-by-step explanation:
you would add 15+15 and 12+12 because it is rectangular meaning there are 4 sides 2 for the y angle and 2 for the x angle
solve for x). -1/3x < -6 . Enter the solution to the inequality
Answers
Answer
x≥18
Step-by-step explanation:
Name a line by any two points on the line, or a lowercase script letter.
Answers
Answer:
Step-by-step explanation: A B
Lines can be named using any two points on the line or using a single cusive lowercase letter.
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?
Answers
Answer:
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
7933 parts
b) How many would have a tensile strength in excess of 48 pounds?
2739.95 parts
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
z = (x-μ)/σ
x = 35 μ = 40 , σ = 5
z = 35 - 40/5
= -5/-5
= -1
Determining the Probability value from Z-Table:
P(x<35) = 0.15866
Converting to percentage = 15.866%
We are asked how many will fail to meet this specification
We have 50,000 parts
Hence,
15.866% of 50,000 parts will fail to meet the specification
= 15.866% of 50,000
= 7933 parts
Therefore, 7933 parts will fail to meet the specifications.
b) How many would have a tensile strength in excess of 48 pounds?
z = (x-μ)/σ
x = 48 μ = 40 , σ = 5
z = 48 - 40/5
z = 8/5
z = 1.6
P-value from Z-Table:
P(x<48) = 0.9452
P(x>48) = 1 - P(x<48)
1 - 0.9452
= 0.054799
Converting to percentage
= 5.4799%
Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds
We are asked, how many would have a tensile strength in excess of 48 pounds?
This would be 5.4799% of 50,000 parts
= 5.4799% × 50,000
= 2739.95
Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds
Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked 3:10. In the fifth week the ration ran to walked is 8:5. How many miles did nash run in week 5
Answers
Answer:
16 miles
Step-by-step explanation:
From the question given above, the following data were obtained:
Miles per week for training = 26 miles.
In the 5th week:
Ratio of miles ran to miles Walked is 8:5
Thus, we can obtain the miles ran by Nash in the 5th week as follow:
Ratio ran = 8
Ratio walked = 5
Total ratio = 8 + 5 = 13
Miles per week for training = 26 mile
Mile ran in the 5th week = 8/13 × 26
Mile ran in the 5th week = 8 × 2
Mile ran in the 5th week = 16 miles
Therefore, Nash ran 16 miles in the 5th week of training.
On Monday, you swim 12 laps in 30 minutes. On Tuesday, you swim 15 laps in 45 minutes. Are these rates proportional?
Answers
Answer:
no.
Step-by-step explanation:
12/30 = 0.4
15/45 = 1/3
Using exponents, what is the simplified form of 12x 6x7 оа 23 Ob 2x3 ос 63 6x 6x3
Answers
12x^5 / 6x^2 = 2x^3
Answer choice B is correct.
2a−1/2a and 3a−1/3a , where a is a positive number.
Answers
Answer:
3/2a8/3aStep-by-step explanation:
Maybe you want to simplify each of these expressions.
2a -1/2a = (2 -1/2)a = (3/2)a
__
3a -1/3a = (3 -1/3)a = (8/3)a
Find (a) the number of subsets and (b) the number of proper subsets of the set.
The set of days of the week.
(a) The number of subsets is
(b) The number of proper subsets is
Answers
Answer:
(a) Total No. of Subsets = 128
(b) Total No. of Proper Subsets = 127
Step-by-step explanation:
First we need to define the set of days of the week.
Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
It is evident from the set of days of the week, that it contains 7 elements.
(a)
The total no. of subsets of a given set is given by the following formula:
Total No. of Subsets = 2^n
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Subsets = 2^n
Total No. of Subsets = 2^7
Total No. of Subsets = 128
(b)
The total no. of proper subsets of a given set is given by the following formula:
Total No. of Proper Subsets = (2^n) - 1
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Proper Subsets = (2^n) - 1
Total No. of Proper Subsets = (2^7) - 1 = 128 - 1
Total No. of Proper Subsets = 127
The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.
Given :
The set of days of the week.
The following steps can be used in order to determine the number of subsets and the number of proper subsets:
Step 1 - According to the given data, the set is given below:
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Step 2 - Now, the total number of subsets is given by the formula [tex]2^n[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128[/tex]
Step 3 - Now, the total number of proper subsets is given by the formula [tex](2^n-1)[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127[/tex]
a) The total number of subsets is 128.
b) The total number of proper subsets is 127.
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Angle RST below is a right angle. What is the measure, in degrees, of
Answers
Answer:
RSM = 56.4
Step-by-step explanation:
RSM + MST = RST
RSM + 33.6= 90
Subtract 33.6 from each side
RSM + 33.6 - 33.6= 90-33.6
RSM= 90-33.6
RSM = 56.4
RST is a right angle, and right angles are 90 degrees
RST = 90 degrees
MST = 33.6 degrees
RSM = ?
The angles MST and RSM add up to 90 degrees
90 = 33.6 + RSM
Subtract 33.6 from both sides
56.4 degrees = RSM
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answers
Answer:1933
Step-by-step explanation:
Felisha has 34 nickels 26 dimes 21 quarters and 13 fifty cent prices. How much money does she have?
Answers
Find a ratio that is equivalent to 9 to 15
Answers
The required equivalent ratio of the given ratio is 3/5.
Given that,
The ratio that is equivalent to 9 to 15 is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5
Thus, the required equivalent ratio of the given ratio is 3/5.
Learn more about ratios here:
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Matthew is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answers
225 + 65 = 290
290°
12(p - 5) - 12 = 0
Please help quick!!!!! This is due at 8:00 AM!!!!!
Answers
You add 12 to both sides
12(p-5)=12
Divide both sides by 12
P-5=1
Then we add both sides by 5
P=1+5
Which gives us P=6
PLZ FAST I DONT WANNA DIE
Answers
Answer:
x=15
Step-by-step explanation:
<GCB=180-5x
<EBA=9x
<DAC=8x
The sum of the three exterior angles equals 360.
(180-5x)+9x+8x=360
180-5x+9x+8x=360
-5x+9x+8x=360-180
12x=180
x=15
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday? How did the temperature change? This is an easy question but a little bit harder to work out! This was a question on a recent quiz I had and I wanted to see if you guys could figure it out?!
Answers
Answer:
85 F
Step-by-step explanation: Subtract and add the increase and decrease along each day.
Friday: 82 F
Saturday: 80 F
Sunday: 85 F
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110
Answers
Answer: 9h+15 > 110
Step-by-step explanation: ed 2020
10 POINTS : What is the solution? (the x-value)
-0.41x + 2.9 = 8.1x + 45.64
Answers
Answer:
x= - 4274/851 or -5.02
Step-by-step explanation:
Un comerciante compró 6 camionetas por $2310000. si quiere obtener una ganancia total de $577500 ¿en cuanto debe vender cada camión?
Answers
1.5 es la respuesta!!!!!!!!!
A hot air balloon has a height of 50 feet and is rising at a rate of 5 feet per minute. Another hot air balloon has a height of 70 feet and is rising at a rate of 3 feet per minute. After how many minutes will the balloons be at the same height?
If the number of minutes is represented by the variable x, then choose the equation that can be used to solve the problem.
Answers
Find the SUM of the first 20 terms in the following sequence.
2, 5, 8...
Answers
Step-by-step explanation:
2+3=5+3=8
2+5+8+11+14+17+20+23+26+29+32+35+38+41+44+47+50+53+56+59=
610
hope it helps!
9.63 repeating as a mixed number
Answers
Answer:
9 and 7/11
Step-by-step explanation:
i hope this helps
6. What is the density of water?
Answers
Answer:
997 kg/m³
Step-by-step explanation:
I just looked it up, hopefully it's the right answer
Four relatives are going to give you money for your birthday. The amount each relative gives you is equally likely to be any number between $0 and $200. The chance that the total amount of money you receive is at most $300 is
Answers
write a number in which the value of the 8 is ten times greater than the value of the 8 in 8,304. I think it's 80,304. However, the 3 people who gave answers on this app gave 3 others answers, all different. How can I be sure which is correct?
Answers
Answer: 80,304
Step-by-step explanation:
You are correct because in 8,304, the 8 is 8,000, and in 80,304, the 8 is 80,000.
8,000 x 10 = 80,000 so there you go. Also, the answer can be any 5 digit number with 8 as the ten thousands place(examples. 89,192, 83,026, 80,000)
You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 25 houses. Island A and Island C have a total of 10 houses. Island B and Island C have a total of 25 houses. A total of 30 houses is to be built on the three islands. Determine how many houses are to be built on each island.
Answers
Answer:
Island A=5
Island B=20
Island C=5
Step-by-step explanation:
Island AB=25 house
Island AC=10 house
Island BC=25 house
Total =30 house
30-25 to get the house on island C which is 5
30-10 to get the house on island B which is 20
30 -25 to get the house on island A which is 5
Determine the unit rate then determine which is a better buy.
Option A: A 4 pack of 3.2-ounce servings of applesauce for $2.50 or Option B: 24 ounces of applesauce for $3.69
Answers
Answer:
Option B
Step-by-step explanation:
For option A:
4 pack of 3.2-ounce servings of applesauce cost $2.50. This implies that 4 × 3.2 ounce = 12.8 ounce servings of applesauce cost $2.50. Hence:
The unit rate = $2.50 / 12.8 ounce = $0.1953 per ounce
For option B:
24-ounce servings of applesauce cost $3.69. Hence:
The unit rate = $3.69 / 24 ounce = $0.15375 per ounce
From the unit rates of option A and option B, option B has a lesser unit rate, hence option B is a better buy.
A jug contains 20 3/8 cups of lemonade. If you are serving guests at a summer picnic, how many glasses can you fill if each guest gets 1 1/2 cups of lemonade?
Answers
Answer:
13 glasses
Step-by-step explanation:
Given:
Amount of of lemonade available = 20⅜ cups
Amount of lemonade per guest = 1½ cups
Required:
Number of glasses to be filled
SOLUTION:
Number of glass to be filled = amount of lemonade available ÷ amount of lemonade per guest
= 20⅜ ÷ 1½
Change both mixed fractions to improper fractions
= [tex] \frac{163}{8} [/tex] ÷ [tex] \frac{3}{2} [/tex]
Flip the fraction on your right upside down and change the division to multiplication
[tex] = \frac{163}{8} * \frac{2}{3} [/tex]
[tex] = \frac{163*2}{8*3} [/tex]
[tex] = \frac{163*1}{4*3} [/tex]
[tex] = \frac{163}{12} = 13.58 [/tex]
Number of glasses that would be filled is roughly 13 glasses.