30 m
Step-by-step explanation:
Step 1 :
Let x be the distance traveled.
Speed taken while going is given as 60mph.
Hence time taken for the onward journey =x/60
Speed for the return journey is 20mph
Hence time for the return journey is x/20
Step 2:
Total time is from 10 m to 2 pm. Deducting the 2 hours taken for lunch, time spent for the onward and return journey is 2 hrs
=> X/60 + x/20 = 2.
Solving for x we get x = 30
Hence the distance between the office and Valerie's is 30 m
Multiply. Write as a mixed number in simplest form 2 1/5 X 2 2/9
Answer:
4 4/9
Step-by-step explanation:
2 1/5 X 2 2/9
= 11/5 * 20/9
= 11/1 * 4/9
= 44/9
= 4 4/9
answer the question Please ASAP
The independent variable is
A: Number of friends (f)
B: Number of cost (c)
The dependent variable is
A: c = 20f
B: f = 20c
C: c = 10f
D: f = 10c
What is 4 1/3 ft. In inches
Answer:
52 inches
Step-by-step explanation:
1ft= 12inches
4times 12=48 1/3of 12=4 48+4=52
1. This season, a basketball player has made 34 of 47 free
throws. What is his free throw percentage?
The free throw percentage is 72.34 %
Solution:
Given that, This season, a basketball player has made 34 of 47 free throws
To find: Free throw percentage
The formula used is:
[tex]\text{Free throw percentage} = \frac{\text{number of throws by basketball player}}{\text{total number of throws}} \times 100[/tex]
From given,
Number of throws by basket player = 34
Total number of throws = 47
Therefore,
[tex]\text{Free throw percentage} = \frac{34}{47} \times 100\\\\\text{Free throw percentage} = 0.7234 \times 100\\\\\text{Free throw percentage} =72.34[/tex]
Thus free throw percentage is 72.34 %
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 7 pencils for $1.68 p pencils for $2.88 a. 7.1.68 = p/2.88; p = 10 c. 1.68/7 = p/2.88; p = 0.7 b. 7/1.68 = p/2.88; p = 12 d. 7/2.88 = p/1.68; p = 4
The proportion that could be used to solve for the variable is:
[tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex] ; p = 12 ⇒ b
Step-by-step explanation:
Direct proportion means that two (or more) quantities increase or decrease in the same ratio
y = k x is the equation of direct proportion, where k is the constant of proportionality[tex]\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k[/tex] is the another way to write a proportionThe number of pencils and the cost of them is increased together or decreased together
∴ The number of the pencils and their costs are in direct proportion
- By using the 2nd rule above
∵ The cost of the 7 pencils is $1.68
∵ The cost of p pencils is $2.88
∴ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
The proportion that could be used to solve for the variable is: [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
∵ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
- By using cross multiplication
∴ p × 1.68 = 7 × 2.88
∴ 1.68 p = 20.16
- Divide both sides by 1.68
∴ p = 12
The value of variable p is 12
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Cristina is painting the playhouse she made for her sister. She intends to paint only the outside of the house that does not include the floor. The paint she chose must be purchased in full gallons. Each gallon covers 200ft² and costs $15.95 a gallon. How much will it cost cristina to paint the playhouse?
You go to a basketball game and buy 3 waters that cost x dollars each. Your brother buys a bottle of water and a bag of peanuts that costs $4.5O. Write an expression in simplest form that represents the total amount of money spent altogether.
Answer: y=3x+4.50
Step-by-step explanation:
Answer:
4.50- 10.50/ 3x
6/3x= 2
How to find the area of 9 inches times 3 inches times 3 inches times 3 inches times 2 inches
Answer:
486
Step-by-step explanation:
Just multiply them by each other
Answer:
The answer is 486 in. squared! :)
Step-by-step explanation:
With PEMDAS, you multiply 9 x 3 which equals 27 x 3 = 81 x 3 = 243 x 2 = 486!
I hope this helped, sorry I answered so late.
Good Luck! :)
Sophia pays a
$19.99 membership fee for an online music store. If Sophia purchases
il songs for
S0.99 each, write an expression for the total cost.
A0.991 - 19.99
B0.997 + 19.99
C0.991 x 19.99
D0.99
Part B
If she buys two songs from a new album, what is the total cost?
Answer:
Answer:
19.99 + 0.99x ; 21.97
Step-by-step explanation:
19.99 + 0.99x
19.99 + 0.99(2)
19.99 + 1.98
21.97
A triangle has sides with lengths of 35 meters, 84 meters, and 91 meters. Is it a right triangle?
Yes or No
Answer: No
Step-by-step explanation:
The reason that it is not a right triangle is because there isn't an angle that is equal to 90 degrees
Answer:
ANswer is YES i trued it On IXL and it was yes
Step-by-step explanation:
Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33, Mean= Median= Range= interquartile range= I need help please
Answer:
Mean=23
Median =23.5
Range=22
Interquartile range = 14
Step-by-step explanation:
Given set of data
11,13,17,20,22,25,27,31,31,33
Mean [tex]=\frac{11+13+17+20+22+25+27+31+31+33}{10}[/tex]
[tex]=\frac{230}{10}[/tex]
=23
The[tex](\frac{n}{2})[/tex] th term= the 5th term
=22
The [tex](\frac{n}{2}+1)^{th}[/tex] term = The [tex]6^{th[/tex] term
= 25
The median = [tex]\frac{22+25}{2}[/tex]
=23.5
Range = Highest term - lowest term
=33- 11
=22
Here lower half {11,13,17,20,22}
The middle number of lower half is first quartile.
Q₁ = 17
And lower half is{25,27,31,31,33}
The middle number of upper half is third quartile.
Q₃=31
Interquartile Range =Q₃-Q₁
=31-17
=14
Answer:
Mean = 23
Median = 23.5
Range = 22
Interquartile range = 14
Is the 161 rounded to the nearest 10 or to the nearest 100
Answer:
161 to the nearest 10 = 160
161 to the nearest 100 = 200
Step-by-step explanation:
161 to the nearest 10:
Since you know that 60 is the tenth unit in this number, and 1 is the one unit, the one unit will indicate if it should be rounded up or down. If the one unit it 4 and below, the number will be rounded down. If the one unit is 5 and above, the number will be rounded up.
With this information, we know that he one unit in this number is "1", which will make the 61, be rounded down to 60, resulting in 160.
Using the same information with rounding to the nearest 100, since the tenth unit is above 5, the number will be rounded to the nearest 100, which is 200.
You use the number before the number you are trying to round, to find the nearest "_th".
Answer:
if its rounded to the nearest 10 it would be = 160
if its rounded to the nearest 100 it would be = 200
Step-by-step explanation:
7. If 40% of a given number is 8, then what is 15% of the
given number?
Answer:
3
Step-by-step explanation:
First find the given number(x)
40% : 40/100 × x = 8
the value of x is 20.
Next find 15% of 20
15/100 × 20 = 3
The 15% of 20 is 3.
What is percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.
Given:
40% of a given number is 8
let the number be x
So, 40% of x = 8
40/100*x= 8
x= 8*100/40
x= 800/40
x= 20
and 15 % of 20
=0.15*20
= 3
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Please help! Give the answer and how you got it, i have a test tomorrow!!
Answer:
56.25
Step-by-step explanation:
We know that both of the angles m<KPN and m<OPN must add up to 90 degrees
We can create an equation as follows
[tex]90=(3x)+(x+15)\\90=4x+15\\75=4x\\x=75/4\\m<KPN = 3x = 3*\frac{75}{4} = 56.25[/tex]
7th Grade Math Help. I keep getting a different answer than from the ones on there.
Answer:
100 apples are covered in sprinkles
what is 5/2 as a decimal
Answer:
the decimal is 2.5
Answer: 5/2=2.5
Step-by-step explanation:
How I got this answer is how many times 5 can go into 2 or 5 divided by 2. So 5 divided by 2 is 2.5.
A 5-column table with 10 rows titled Table 2, Fastest growing occupations, 2006-16 (numbers in thousands). Column 1 is labeled 2006 National Employment matrix code and title with entries Network systems and data communications analysts, 15-1081; personal and home care aides, 39-9021; home health aides, 31-1011; computer software engineers, applications, 15-1031; veterinary technologists and technicians, 29-2056; personal financial advisors, 13-2052; makeup artists, theatrical and performance, 39-5091; medical assistants, 31-9092; veterinarians, 29-1131; substance abuse and behavioral disorder counselors, 21-1011. Column 2 is labeled employment number for 2006 with entries 262, 767, 787, 507, 71, 176, 2, 417, 62, 83. Column 3 is labeled employment number for 2016 with entries 402, 1,156, 1,171, 733, 100, 248, 3, 565, 84 112. Column 4 is labeled percent change with entries 53.4, 50.6, 48.7, 44.6, 41, 41, 39.8, 35.4, 35, 34.3. Column 5 is labeled numeric change with entries 140, 389, 384, 226, 29, 72, 1, 148, 22, 29.
Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?
a.
Substance abuse and behavioral disorder counselors
b.
Personal finance advisors
c.
Home health aides
d.
Makeup artists
Answer:
The correct answer is D. Makeup artists
Step-by-step explanation:
Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?
These are the total number of jobs expected in 2016:
A. Substance abuse and behavioral disorder counselors : 112,000
B. Personal finance advisers : 248,000
C. Home health aides : 1'171,000
D. Makeup artists: 3,000
The correct answer is D. Makeup artists
Answer:
d on edg
Step-by-step explanation:
solve the equation
k + 22 = 29
Answer:
K=7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
k + 22 = 29
collect like terms
k = 29 - 22
k = 7
81 is 18% of what number? Enter your answer in the box.
Answer:
450
Step-by-step explanation:
If 81 is 18% of a number then we can say that:
x × 0.18 = 81
We multiply by 0.18 because 18% is 0.18 as a decimal. So to work out the real number we divide 81 by 0.18:
81 ÷ 0.18 = 450
a school had 1,200 students last year and only 1080 this year what was the percentage decrease in the number of students
Answer:
10%
Step-by-step explanation:
1200-1080= 120 , 1200/10 is 120 which means 10% is 120 students , so if you subtract 120 from 1200 you get 1080.
The percentage decrease in the number of students is -10%.
Given that,
The school has 1,200 students last year.And, this year it is 1,080.Based on the above information, the calculation is as follows:
[tex]= \frac{1080 - 1200}{1200} \\\\= -10\%[/tex]
Therefore we can conclude that the percentage decrease in the number of students is -10%.
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The farmers holdings are in two separate parcels she has planted corn on 30% of the first parcel and 60% on the other supposed the first person I was twice as big as the second what percentage of the farmers turtle land is planted explain your answer with a math drawing
3/5x
= 60%
Step-by-step explanation:
Assume that Parcel 2 is assigned x acres; Parcel 1 will be 2x (because its twice as large as parcel 2).
Therefore if the farmer has planted on 30% on parcel 2;
30/100 * 2x area
60/100x
=3/5x
Parcel 1 ;
60/100 * x area
60/100x
3/5x
The total area planted =
(3/5x + 3/5x ) /2
= 3/5x
3/5 * 100
= 60%
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What is -3.45 minus positive 2.2
Answer:
-5.65
Step-by-step explanation:
A straight slide in a playground design makes an isosceles triangle with the
ground and its platform, with area 32 square feet. What is the length of the slide?
A 412 feet 32 © 8/2 feet 126
B 8 feet 6
0 16 feet 256
Answer:
Option D.
Step-by-step explanation:
First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side. Next, we know that the formula for calculating the area of a right angled triangle is given by:A = 1/2 (base × perpendicular height)
The perpendicular height is equal to the base. Let's say the base is x. It means that the height is also x, since height = base. Therefore, the formula will be:A = 1/2 (x.x)
=1/2 (x²)
32 = 1/2 (x²)
Multiplying both sides by 2 gives:
32×2 = x²
64 = x²
8 = x
To find the third side, we use the Pythagoras theorem:
C² = A² + B²
= 8² + 8²
= 128
C = √128
= 8√2
However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)
Repeating the steps above gives C = √ (16)² + (16)²
= √256
This corresponds to option D.
The volume (show work
Let us find the area of the trapezoid first and then multiply by the height.
Area of trapezoid: 1/2(leg 1 + leg 2)h = 1/2(9+13)6 = 66 m²
Volume: area of the base x height = 66 x 14 = 924 m³
answer: 924 m³
I don’t know how to solve this
Answer:
y = [tex]\frac{1}{4}[/tex] x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m = [tex]\frac{-5+3}{0-8}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex]
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = [tex]\frac{1}{4}[/tex] x - 5 ← equation of line
[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - ( - 3)}{ - 5 - ( - 3)} = \frac{x - 8}{0 - 8} \\ \frac{y + 3}{ - 2} = \frac{x - 8}{ - 8} \\ - 8(y + 3) = - 2(x - 8) \\ - 8y - 24 = - 2x + 16 \\ 2x - 8y = 40[/tex]
The number −6 is 2 more than an unknown number. Find the unknown number.
The unknown number is -8.
To find the unknown number, we can set up an equation based on the given information.
We are told that -6 is 2 more than the unknown number, so we can represent this as:
Unknown number + 2 = -6
To isolate the unknown number, we need to subtract 2 from both sides of the equation:
Unknown number = -6 - 2
Unknown number = -8
So, the unknown number is -8. This means that when you add 2 to -8, you get -6, which satisfies the condition given in the problem.
In summary, by setting up and solving the equation Unknown number + 2 = -6, we determined that the unknown number is -8.
This equation represents the relationship between the unknown number and the given value of -6, where -6 is 2 more than the unknown number, as specified in the problem statement.
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how do you simplify this expression (x+2)-(x-2)-12x
Answer:
−12x + 4
Step-by-step explanation:
1. Remove parentheses
x + 2 − x + 2 − 12x
2. Collect like terms.
(x − x − 12x) + (2 + 2)
3. Simplify.
−12x + 4
Answer:
Step-by-step explanation:
(x+2)-(x-2)-12x
x+2-x+2-12x
x+4-13x
-12x+4
=4(3x-1)
1/3 of 5th grade class absent there were 4 students absent. How many students in class
Answer:
8
Step-by-step explanation:
3x4=12
12x1/3=4
12-4=8
Answer:
12 students are in that class, 8 of them are present
Step-by-step explanation:
1/3 of the class = 4
1/3 * 3 = the whole class
4 * 3 = 12 = the whole class
Billy pays $46 for a meal at restaurant the ratio of the cost of the meal to the amount of tip given is 20 : 3. Find the amount of the tip he gives.
please help asap! ty
The amount of tip is $6
Step-by-step explanation:
Step 1: Given total bill amount = $46. Ratio of cost of meal to tip = 20:3So let cost of meal be 20 x and the tip be 3 x.
⇒ 3x + 20x = 46
⇒ 23x = 46
⇒ x = 2
Step 2: Calculate the tip.⇒ 3x = 3 × 2 = $6
Use similar triangles ABC and XYZ to find the missing height h. around to the nearest tenth if necessary.
Answer:
Therefore,
The height is 23.3 ft.
Step-by-step explanation:
Given:
ΔABC ~ ΔXYZ
AC = 108.5 ft
BC = h
XZ = 14 ft
YZ = 3ft
To Find:
h = ?
Solution:
Δ ABC ~ Δ XYZ….Given
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{AB}{XY} =\dfrac{BC}{YZ}=\dfrac{AC}{XZ} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]
[tex]\dfrac{h}{3}=\dfrac{108.5}{14}\\\\h=\dfrac{325.5}{14}=23.25=23.3[/tex](nearest tenth)
Therefore,
The height is 23.3 ft.