Answer:
r=9/2 or 4.5
Step-by-step explanation:
First of all our goal is to get R by itself
by cross multiplying we get,
(r+3)*3=5r
by distributive property we get
3r+9=5r
substracting 3r from both sides we get
9=2r
by dividing by 2 in both sides we get
r=9/2 or 4.5
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 %
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:
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
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answer:
the answer is D
Step-by-step explanation:
the answer is D
Answer: Yeah It's D
Step-by-step explanation: It's D
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.
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
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.
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
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! :)
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
Simplify this expression 1-c+4c-29
Answer:
3c-28
Step-by-step explanation:
Answer:-28+3c
Step-by-step explanation:
1)combine like factors
1-29=-28
-c+4c=3c
-28+3c
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]
Which equation is modeled below
Answer:
what equation there isn't one
Answer:
A or -x + 1 = 2 x + 3
Step-by-step explanation:
I got this for one of my test answers, but you did not include a picture so I'm not sure is this is the correct one
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
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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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
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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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 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:
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]
What is -3.45 minus positive 2.2
Answer:
-5.65
Step-by-step explanation:
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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There are 22 people in a room, if everyone shakes everyone else’s hand exactly one time, how many handshakes would that be total?
There will be 231 handshakes in total
Solution:
There are 22 people in a room
Everyone shakes everyone else’s hand exactly one time
To find: Total number of handshakes in total
Let,
n = total number of people that will shake hands
but since all (total) can't shake hands with themselves, hence we subtract one individual to start the handshaking
(n - 1) = people would each shake hands
hence we multiply both total number persons with people that will shake hands;
n(n - 1)
but that counts every handshake twice, so we have to divide by 2
Therefore;
[tex]\frac{n(n-1)}{2}[/tex]
Here, n = 22
[tex]\frac{n(n-1)}{2} = \frac{22(22-1)}{2} = 11 \times 21 = 231[/tex]
Thus there will be 231 handshakes in total
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:
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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7th Grade Math Help. I keep getting a different answer than from the ones on there.
Answer:
100 apples are covered in sprinkles
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
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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Please help. A 32-pound box of cantaloupe costs 24.40. How much would a 12-pound box cost?
Answer:
I believe it should be $9.15
Step-by-step explanation:
Answer:
$9.15
Step-by-step explanation:
lets find the cost of 1-pound box first
is 32-pound box cost $24.40
then 1-pound box will cost $ 24.40 / 32 = $0.7625
To find how much a 12-pound box will cost, we'll simply multiply the cost of 1-pound box by 12
$0.7625 * 12= $9.15
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)