Answer:
22
Step-by-step explanation:
Let x be a number
Other number = 39 -x
x - (39 - x) =5
x - 39 + x = 5
2x = 5 + 39 = 44
x = 44/2
x = 22
Other number = 39 - 22 = 17
Answer:
The larger number = 22
Step-by-step explanation:
Let the two number x and y
The sum of two numbers is 39 can be represented as:
x + y = 39----------------1
The difference of two numbers is 5 can be represented as:
x - y = 5------------------2
x + y = 39----------------1
x - y = 5------------------2
Using Elimination Method and subtracting 2 from 1
x-x + y-(-y) = 39 - 5
0+y+y=34
2y=34
y=34/2
y=17
substituting y=17 in 1
x+17=39
x=39-17
x=22
∴ The larger number = 22
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÷0.32Is 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.
How many teaspoons are in 1/4 cups
Answer:
12 U.S teaspoons are in 1/4 cups.
The Formula is to multiply the volume value by 48.
So Since a 1/4 us cup=0.25 we can multiply this by 48.
0.25*48=12
So our awnser is 12 teaspoons
There are 12 teaspoons in 1/4 cups.
To understand this conversion, we need to know the standard conversion factors for cups and teaspoons. There are 16 teaspoons in 1 cup. Therefore, to find out how many teaspoons are in 1/4 cup, we divide the number of teaspoons in a full cup by 4.
Here is the calculation:
1 cup = 48 teaspoons
[tex]\( \frac{1}{4} \times 48 \)[/tex] teaspoons
[tex]\( = \frac{1}{4} \times \frac{48}{1} \)[/tex]
[tex]\( = \frac{48}{4} \)[/tex]
[tex]\( = 12 \)[/tex]
Therefore, there are 12 teaspoons in 1/4 cups.
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.Which two points are on the graph of y = -x + 3
Answer:
[tex](3,0),(0,3)[/tex]
Step-by-step explanation:
y-intercept:
[tex]Substitute\ x=0\\\\y=0+3\\\\y=3\\\\Hence\ (0,3)\ is\ on\ the\ graph.[/tex]
x-intercept:
[tex]Substitute\ y=0\\\\0=-x+3\\\\x=3\\\\Hence\ graph\ passes\ through\ (3,0)[/tex]
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
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.
List all the factors of each number.
81
Answer:
Step-by-step explanation:
1,3,9,27, and 81
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
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.
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Use a Pythagorean Triple to find x.
27
36
x
PLEASE I NEED IT FOR TEST
Answer: 45
Step-by-step explanation:
A^2 + B^2 = C^2
27^2 + 36^2 = x^2
729 + 1296 = 2025
square root of 2025 = 45
X = 45
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.
Is 5/8 greater than 6/16
What is the percent decrease in the number of students enrolled in the photography club
Answer:
The percent of decrease is [tex]30\%[/tex]
Step-by-step explanation:
Assuming the number of students enrolled in the photography club decrease from 50 to 35.
Then the change in student enrollment is 35-50=-15.
The percent of change is given by:
[tex]\frac{Change\:in\:enrollment}{Original\:number}\times 100\%[/tex]
[tex]\frac{-15}{50}\times 100\%[/tex]
[tex]-15*2\%=-30\%[/tex]
Answer: 30
Step-by-step explanation:
i got it right
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.
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
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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.
What 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
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%.
The original scale factor for a scale drawing of a house plan is 1/80 , and the length of the original scale drawing is
12 inches. What is the length of a new scale drawing if the scale factor of the new scale drawing to actual length
of the house is 1/180?
HELP NOW PLEASE
Answer:
[tex]5\frac{1}{3}\ in[/tex]
Step-by-step explanation:
we know that
The original scale factor is 1/80
That means
1 unit in the drawing represent 80 units in the actual
or
1 inch in the drawing represent 80 inches in the actual
step 1
Find the actual length with the original scale
using proportion
[tex]\frac{1}{80}=\frac{12}{x}\\\\x=80(12)\\\\x= 960\ in[/tex]
step 2
The new scale drawing is
[tex]\frac{1}{180}[/tex]
That means
1 unit in the drawing represent 180 units in the actual
or
1 inch in the drawing represent 180 inches in the actual
step 3
Find the length of a new scale drawing
using proportion
[tex]\frac{1}{180}=\frac{x}{960}\\\\x=960/180\\\\x= 5.33\ in[/tex]
Convert to mixed number
[tex]5.33\ in=5\frac{1}{3}\ in[/tex]
The actual length of the house if the scale is 1/80 is = 5 1/3 inches
What is a scale drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Scale of the drawing = dimensions of the scale drawing / dimensions of the original image.
Actual length when the scale was 1/80 = 80 x 12 = 960 inches
Actual length when the scale was 1/180 = 960 / 180 = 5 1/3 inches
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5. Find mEG.
Answer:
24
Step-by-step explanation:
mEG = 24 units
Hope it helps
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°
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.
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
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.
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2 times 5 with a expont of 2 minus (4+1)
Answer:
2([tex]5^{2}[/tex])-5
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
2x5^2-(4+1)
2x25-5
50-5
45
Paulina gets on an elevator. At the first stop, 4 people get off and 3 get on.At the second stop, 5 people get off and 1 gets on. At the third stop, Paulina gets off. If 4 people are still in the elevator when Paulina gets off, how many people were on the elevator when she got on?
Answer:
There were 8 people on the bus when Paulina got on.
Step-by-step explanation:
what is the answer to 7(2m + 6)+ 8m
Answer:22m+42
Step-by-step explanation:
7•2m =14m + 8m = 22m
7•6=42
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!