Final answer:
Cole spent 7/12 hours on history homework after spending 5/12 hours on Spanish homework, with the total homework time being 1 hour.
Explanation:
The student asked: Cole spent some time working on his history homework. Then, he spent 5/12 hour working on his Spanish homework. Cole spent 1 hour on homework. What fraction of an hour did Cole spend on history? To find the time Cole spent on history homework, we subtract the time he spent on Spanish homework from the total homework time. Cole's total homework time is 1 hour, which is equivalent to 12/12 hours.
Therefore, the time spent on history homework is: 12/12 hours (total time) - 5/12 hours (Spanish homework) = 7/12 hours on history homework. So, the correct answer is C) 7/12.
Simplify the expression 4x+10+6x+2x
Answer:
12X+10
Step-by-step explanation:
It's easy. Just combine like terms. Like terms must have the same variable and to the same power in this case all the terms have a power of 1, but it doesnt show it because it doesn't really matter. So 4x,6x, and 2x all have the same variable so add them together. That gets you 10x. Since nothing else in the expression has the same variable with 10, you leave the 10 at the end resolving in 12x+10
Answer:
12x+10
Step-by-step explanation:
Collect the like terms to one side.
a person is standing 15 feet away from a basketball hoop and randomly shoots a basketball four times.
What are the random variables in this situation? Select all that apply.
The random variables in this situation will be:
The distance the basketball lands from the hoop.The distance the basketball lands from the person.What is a random variable?It should be noted that a random variable simply means the numerical description of the outcome of a statistical experiment.
In this case, the distance that the basketball lands from the hoop and the distance the basketball lands from the person are the random variables.
Learn more about variables on:
https://brainly.com/question/15246027
Answer:
The distance the basketball lands from the hoop.
The distance the basketball lands from the person.
Joyce paid $98.00 for an item at the store that was 30 percent off the original price. What was the original price?
Answer:
$68.60
Step-by-step explanation:
If the original price is $98
30% = 0.03
0.30*98=29.40
Then, 98−29.40=$68.60
Is this a function or not a function
(1, 3) (2, 5) ( 3, -4) (4, -3) (5, -1)
Answer:
is a function
Step-by-step explanation:
You want to know if the given set of ordered pairs represents a function.
FunctionA function cannot map an input value to more than one output value. That means the x-coordinates in a set of ordered pairs must all be different.
No x-values are repeated, so this relation is a function.
9. Find the length of the arc shown in brown. Leave your answer in terms of 2 (1 point)
4pi in.
8pi ft
16pi in.
48pi in.
The length of the arc is 4π.
Step-by-step explanation:
Given,
Diameter = 24 ftradius, r = diameter/2 r = 24/2 = 12 ftcentral angle, ∅ = 60°Arc length = ∅/360° (2πr)
⇒ 60°/360° (2π[tex]\times[/tex]12)
⇒ 24π/6
⇒ 4π
∴ The length of the arc is 4π.
what is the answer to 7(2m + 6)+ 8m
Answer:22m+42
Step-by-step explanation:
7•2m =14m + 8m = 22m
7•6=42
List all the factors of each number.
81
Answer:
Step-by-step explanation:
1,3,9,27, and 81
Acellus... can you help please
Based on the image we can see that angle B and angle E will be the same so we can write this into an equation.
x + 4 = 48°
Now, we can solve for x.
x + 4 - 4 = 48 - 4
x = 44 (answer)
Best of Luck!
Answer:
x=44
Step-by-step explanation:
I know because I had it!
x+4=48
x=48-4
x=44
What is 7 7/9 divided by 4/7
Answer:
4 44/49
Step-by-step explanation:
7 7/9 is 70/9
then u use 70/9 multiply by 7/4(I call it keep, change, flip method for division of fraction)
You keep the 1st fraction and because it is a mixed fraction, changing it to improper fraction is easier to solve it later on.
after that, you change the division sign to multiply sign(÷ to ×)
then you flip the 2nd fraction, which means 7/4 becomes 4/7
So overall it becomes 60/7 × 4/7 =240/49,4 44/49 as a mixed fraction.
Answer is 4 44/49
Is 5/8 greater than 6/16
Jethro has to pay his annual taxes,he knows his tax rate is 27% of his taxable income . If he made $68,000 last year,which proportion should he use to determine how much he owes in taxes
Answer:
Step-by-step explanation:
Step-by-step explanation:
Let he owes x amount in taxes
He made amount last year = $68,000
His tax rate = 27%
So, he pays tax = 27% of the earning
So, A.T.Q.
27% times 68000 = x
{27}{100} times 68000 = x
27times 68000 = 100 times x
Name the sides,angles and vertices of the triangle below
The given image is a triangle.
Property of triangle:
A triangle has three sides.
A triangle has three angles.
A triangle has three vertices.
To find the sides, angles and vertices of the triangle RST:
Sides of the triangle SRT:
RS, ST and RT
Angles of the triangle RST:
∠A, ∠B and ∠C
Vertices of the triangle RST:
A, B and C
These are sides, angles and vertices of the triangle.
A large bag of marbles contains equal amounts of each of 5 colors (red,
orange, yellow, green, and blue). Keisha selects 1 marble, looks at it, puts it
back, and then selects another. Find the probability of Keisha first picking a
yellow marble and then an orange marble.
O A. 0.5
O B. 0.008
O c. 0.04
OD. 0.2
Answer:
The answer would be 0.2
Step-by-step explanation:
Because there is five numbers and if you split 1 into five equal parts there is 0.2 which leads to the answer being 0.2
The required probability of Keisha first picking a yellow marble and then an orange marble is 0.04. Option c is correct.
A bag contains marbles and has an equal number of marbles in 5 colors.
The probability of Keisha first picking a yellow marble and then an orange marble is to be determined.
Probability is the ratio of a favorable number of events to the total number of events.
The total number of samples is = 5
Probability for yellow marble = 1/5 = 0.2
Probability for orange marble = 1/5 = 0.2
Probability for first picking yellow than orange = 0.2*0.2
= 0.04
Thus, the required probability of Keisha first picking a yellow marble and then an orange marble is 0.04.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
Choose ALL that give an interval where the function is increasing.
A. (-infinity, -3)
B. (-3,-1)
C. (-1,2)
D. (2,4)
E. (4, infinity)
Answer:
(-∞,-3), (-1,2), and (4,∞)
Step-by-step explanation:
If f(x) is increasing on (a,b), then f(a)<f(b) on (a,b).
From the given graph, the graph is increasing on (-∞,-3), (-1,2), and (4,∞).
Think of it as the portion of the graph that slopes forward.
The correct options are A, C, an E
Answer:
(-∞,-3), (-1,2), and (4,∞)
The rectangle shown has a perimeter of 86 cm and the given area. Its length is 7 more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle
Length = 34 cm
Width= 9 cm
Step-by-step explanation:
Let the width of the rectangle to be.........w
Length is 7 more than three times the width..........3w+7
Perimeter = 86 cm
Perimeter of a rectangle = 2(l+w)
Perimeter of the rectangle = 2 (w + 3w +7)
= 2w +6w + 14
86= 8w +14
86-14 =8w
72=8w
72/8 =8/8w
9=w
Width= 9 cm
Length = 3*9 + 7= 27+7 = 34 cm
Learn More
Perimeter of a rectangle :https://brainly.com/question/13220601
Keywords: rectangle,perimeter,length, equation, dimensions
#LearnwithBrainly
is 20/31 closer to 66% or 75% Explain and show why
Step-by-step explanation:
We have,
[tex]\dfrac{20}{31}[/tex]
Show that [tex]\dfrac{20}{31}[/tex] is closer 66 % or 75 %.
∴ The percentage of [tex]\dfrac{20}{31}[/tex]
= [tex]\dfrac{20}{31}\times 100[/tex]
= [tex]\dfrac{2000}{31}[/tex]
= 64.516 %
≈ 66 %, shown.
Because the percentage of [tex]\dfrac{20}{31}[/tex] is 66 percent (%).
Thus, [tex]\dfrac{20}{31}[/tex] is closer 66 percent (%) , shown.
The fraction 20/31 is closer to 66%.
To determine which percentage 20/31 is closer to, we first need to convert the percentages into fractions and then compare them with 20/31.
66% can be written as a fraction as 66/100. Simplifying this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case:
[tex]\[ \frac{66}{100} = \frac{66 \div 2}{100 \div 2} = \frac{33}{50} \][/tex]
Further simplifying by dividing both by 11, we get:
[tex]\[ \frac{33}{50} = \frac{33 \div 11}{50 \div 11} = \frac{3}{5} \][/tex]
75% as a fraction is 75/100. Simplifying this fraction by dividing both the numerator and the denominator by 25, we get:
[tex]\[ \frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \][/tex]
Now we compare the fraction 20/31 with 3/5 and 3/4. To compare these fractions, we can find a common denominator or convert them to decimal form.
Converting to decimal form:
[tex]\[ \frac{20}{31} \approx 0.645 \] \[ \frac{3}{5} = 0.6 \] \[ \frac{3}{4} = 0.75 \][/tex]
Now we can see that 0.645 is closer to 0.6 than it is to 0.75. Therefore, 20/31 is closer to 66% (or 3/5) than it is to 75% (or 3/4).
Alternatively, we could also cross-multiply to compare the fractions directly:
For 20/31 and 3/5:
[tex]\[ 20 \times 5 = 100 \] \[ 31 \times 3 = 93 \][/tex]
Since 100 is greater than 93, 20/31 is greater than 3/5, but not by much.
For 20/31 and 3/4:
[tex]\[ 20 \times 4 = 80 \] \[ 31 \times 3 = 93 \][/tex]
Since 93 is much greater than 80, 20/31 is less than 3/4 by a larger margin than its difference with 3/5.
Thus, by both methods, we conclude that 20/31 is closer to 66%.
Included angle between SW and WA
< A
< S
< W
Answer:
The answer is W
Step-by-step explanation:
The answer is W because it is included in both angles.
Answer:
< WStep-by-step explanation:
What is the measure x? Enter your answer in the box .
X=
Answer: X= 83°
Step-by-step explanation: If we observe closely, the angle between 41° and X° is an angle opposite angle 56° (opposite angles are equal)
So what we have are three angles on a straight line, which are
41°, 56° and X.
Sum of angles on a straight line = 180°
Therefore,
41 + 56 + X = 180
97 + X = 180
Subtract 97 from both sides of the equation
X = 180 - 97
X = 83°
A new car is purchased for 17900 dollars. The value of the car depreciates at 12.25%
per year. What will the value of the car be, to the nearest cent, after 10 years?
Answer:
Therefore the value of the car after 10 year will be = $4,845.34
Step-by-step explanation:
A new car is purchased for $17900. the value of the car depreciates at 12.25% per year.
Since the value of the car depreciates therefore the amount of the car is
[tex]A= P(1-\frac{r}{100})^n}[/tex]
[tex]=17900(1-\frac{12.25}{100})^{10}[/tex] [ p = $17900, r = 12.25% and n =10 years]
= $ 4,845.34
Therefore the value of the car after 10 year will be = $4,845.34
The value of the car be, after 10 years will be $4845.34.
Given that,
A new car is purchased for 17900 dollars.
The value of the car depreciates at 12.25% per year.
We have to determine,
What will the value of the car be, after 10 years.
According to the question,
The value of the car depreciates therefore the amount of the car is determined by the formula,
[tex]A = P (1 -\dfrac{r}{100})^n[/tex]
Where, P = $17900, r = 12.25% and n =10 years
Substitute all the values in the formula,
[tex]A = P (1 -\frac{r}{100})^n\\\\A = 17900(1 -\frac{12.25}{100})^{10}\\\\A = 17900( 1- 0.1225)^{10}\\\\A = 17900(0.8775)^{10}\\\\A = 17900 \times 0.270\\\\A = 4845.34[/tex]
Hence, The value of the car be, after 10 years will be $4845.34.
To know more about Percentage click the link given below.
https://brainly.com/question/15091161
A woman is throwing a party and has $200 to spend on snacks. She is purchasing packages of chips, c, for $1 each and Oreos, o, for $3 each. She needs to have 100 packages of snacks total. How many packages of chips and Oreos should she buy if she spends exactly $200?
Use your words to explain how you would solve the question and express your answer.
Ramond is putting a fence around his rectangular garden shown above. Before he can build the fence, he needs to find the perimeter of the garden. If the garden is 4 meters long by 2 meters wide, what is the perimeter of the garden?
The gardens perimeter is 12 meters.
Explanation:
The garden has a 4m length and a 2m width. The perimeter of any given rectangle is two times the sum of the length and the width of the same rectangle.Perimeter = 2 × (length of the rectange + width of the rectangle)Perimeter = 2 × (4m + 2m) = 2 × (6m) = 12 meters.
So the gardens perimeter is equal to 12 meters.Ramond needs to buy a fence for a garden whose parameter is 12 meters.Please answer my question please answer my please show work and answer it correctly please please show work answer number 17 and 19
17)
Find how many more pencils are needed:
250 - 108 = 142
Divide by the number of pencils in a box:
142 / 16 = 8.875 = 9 more boxes.
18) 5/4x - 3(8x-1/4)
Use the distributive property:
5/4x - 24x - 3/4
Rewrite 24x as 96/4x
Now you have:
5/4x - 96/4x-3/4
Combine like terms:
-91/4x - 3/4
19)
Car: 3 feet in 4 seconds
60 seconds / 4 = 15
3 feet x 15 = 45 feet per minute
Truck: 2 feet in 6 seconds
60 seconds / 6 = 10
2 feet x 10 = 20 feet per minute
45 - 20 = 25 feet
The car travels 25 feet per minute faster.
What is the mean of the data set?
66, 71, 75, 83, 88, 89, 90, 91
Express your answer to three decimal places.
Enter your answer in the box.
Answer:
81.625
Step-by-step explanation:
a mean is the average. an average is calculated by adding up all the numbers and then dividing the sum by the amount of numbers there are. these numbers added up = 653. 653 divided by 8 = 81.625. since it only goes up to three decimal places, no need to round.
Final answer:
The mean of the given data set is calculated by summing all the values and then dividing by the number of values. The calculated mean for this data set is 81.625.
Explanation:
To find the mean of the data set, we need to add all the data values together and then divide by the number of data values.
Add all the data values together: 66 + 71 + 75 + 83 + 88 + 89 + 90 + 91 = 653.Divide the sum by the number of data values: 653 ÷ 8 = 81.625.Thus, the mean of the data set is 81.625, which when expressed to three decimal places is 81.625.
Don’t understand which expression represents the perimeter of the rectangle
Answer:
The perimeter of a rectangle is found by using this equation: P = 2 (L + W)
Step-by-step explanation:
I cannot see the picture that you posted, but that is the above equation. Take the length of the rectangle, and the width... plug that in for (L and W), and you have your formula! :)
Hope this helps!
2x - 3y = 45 and x + y = 10 what is the x - value of the solution of the system
Answer:
x=15
Step-by-step explanation:
This is a simultaneous equation
2x-3y=45 ------------------------------ equation i
x+y=10 -------------------------------equation ii
from equation ii
x+y=10
make x the subject of the matter
we have,
x=10-y
in equation i
substitute x for 10-y
2x-3y=45----------------------i
since x=10-y
we have,
2(10-y) - 3y=45
20-2y=3y=45
collect like terms
-2y-3y=45-20
-5y=25
divide both sides by -5
we have y=-5
substitute y for-5 in equation i
x+y=10
x+-5=10
collect like terms
x=10+5
x=15
therefore
x=15
Answer:
x = 15
Step-by-step explanation:
Use the second equation to write an expression for y:
y = 10 -x
Then, substitute this into the first equation and solve for x.
2x -3(10 -x) = 45
5x -30 = 45 . . . . . eliminate parentheses
x -6 = 9 . . . . . . . . .divide by 5
x = 15 . . . . . . . . . . .add 6
6x + 4y = 6
3x = -15
x = ____ y = ____
Answers:
x = -5
y = 9
============================================
Work Shown:
Start by solving the second equation for x.
3x = -15
3x/3 = -15/3 .... divide both sides by 3
x = -5
Then plug this into the first equation and isolate y.
6x + 4y = 6
6(-5) + 4y = 6 .... every x replaced with -5
-30 + 4y = 6
-30+4y+30 = 6+30 .... add 30 to both sides
4y = 36
4y/4 = 36/4 .... divide both sides by 4
y = 9
Machine a has a fixed daily cost of $40 and variable cost of one dollar per item produced. machine B has a fixed daily cost of $30 and a variable cost of $1.50 per item produced. A) what is the number of Items X for which the total daily cost C in dollars of each machine will be the same x items? B) what is the total daily cost per machine for this number of items?
To find the number of items, x, for which the total daily cost, C, of each machine will be the same, we can set up an equation and solve for x. The number of items x for which the total daily cost C of each machine will be the same is 20. For 20 items produced, the total daily cost per machine is $60.
Explanation:To find the number of items, x, for which the total daily cost, C, of each machine will be the same, we can set up the following equation:
40 + 1x = 30 + 1.5x
Simplifying, we get:
0.5x = 10
Dividing both sides by 0.5, we find:
x = 20
Therefore, the number of items x for which the total daily cost C of each machine will be the same is 20.
To find the total daily cost per machine for this number of items, we can substitute x = 20 into the equations for each machine:
Machine A: C = 40 + 1(20) = 60
Machine B: C = 30 + 1.5(20) = 60
So, for 20 items produced, the total daily cost per machine is $60.
Write two division expressions that have the same value as 61.12 divided by 3.2
the following are choice you can pick 2 from
611.2÷32
6112÷32
6.112÷32
6112÷320
6.112÷0.32
Two division expressions equivalent to 61.12 divided by 3.2 are 611.2 divided by 32 and 6.112 divided by 0.32. These are derived by scaling both numbers by the same power of 10, and such scaling does not change the value of the quotient.
Explanation:When looking for division expressions that have the same value as 61.12 divided by 3.2, we want to maintain the ratio between the dividend and the divisor.
By multiplying both the dividend and the divisor by the same power of ten, we can create equivalent expressions without changing the actual value of the division.
For the given problem, 61.12 ÷ 3.2, two equivalent division expressions from the choices provided are:
611.2 ÷ 326.112 ÷ 0.32Both of these are arrived at by multiplying the original dividend and divisor by 10 and 100 respectively. This operation does not change the value of the quotient but simply scales the numbers involved.
The expressions that have the same value as 61.12 divided by 3.2 are Option1. 611.2÷32 and Option 3. 6.112÷0.32
Given the choices, let's identify the equivalent expressions that will have the same value as [tex]\( 61.12 \div 3.2 \)[/tex]
The original division:
[tex]\[ 61.12 \div 3.2 = 19.1 \][/tex]
We need to find two expressions that also equal 19.1
Let's test the given options:
1. [tex]\( 611.2 \div 32 \)[/tex]
[tex]\[ 611.2 \div 32 = 19.1 \][/tex]
2. [tex]\( 6.112 \div 0.32 \)[/tex]
[tex]\[ 6.112 \div 0.32 = 19.1 \][/tex]
So, the two division expressions that have the same value as are:
[tex]\[ 611.2 \div 32 \quad \text{and} \quad 6.112 \div 0.32 \][/tex]
Thus, the answers are: [tex]\[ \boxed{611.2 \div 32 \quad \text{and} \quad 6.112 \div 0.32} \][/tex]
Full question
Write two division expressions that have the same value as 61.12 divided by 3.2
the following are choice you can pick 2 from
611.2÷326112÷326.112÷326112÷3206.112÷0.32What is the value of x in the equation 1,331x^3 -216=0
Answer:
x = 6/1.1
Step-by-step explanation:
hello :
1,331x^3 -216=0 means : x^3 = 216/1.331
x^3 = (6^3)/(1.1)^3 because : 216 = 6^3 and 1.331 = (1.1)^3
so : x^3 = (6/1.1)^3
x = 6/1.1
in a fundraiser, Mrs. Smith pledges $1 for each mile walked . if Sam walks 20 miles how much will Mrs. Smith donate? what is yhe constant proportionality of the problen
Final answer:
Mrs. Smith will donate $20 for Sam walking 20 miles, illustrating a direct proportional relationship with a constant of proportionality of $1 per mile, which is a simple yet effective example of how constants of proportionality function in everyday scenarios.
Explanation:
In the fundraiser mentioned, Mrs. Smith pledges $1 for each mile walked. If Sam walks 20 miles, Mrs. Smith will donate $20. The constant of proportionality in this problem is $1 per mile.
You can see this relationship as a simple formula: total donation = $1 × number of miles walked. So, if we replace "number of miles walked" with 20, the formula would be total donation = $1 × 20 = $20. This illustrates how the initial pledge creates a directly proportional relationship between the money donated and the miles walked.
The constant of proportionality here is crucial because it tells us how much money will be donated per mile that Sam walks. It is a straightforward example of how constants of proportionality work in real-life scenarios, similar to being paid for each call made in a phone drive or being charged per hour of tutoring.