Answer:
Well 3/4 & 5/12 are already simplified and in fraction form, if youre
looking for decimal form its gonna be .75 &.41
Step-by-step explanation:
Write the fraction that would land on point A on the number line.
Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)
Here are a list of the properties-
Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation
Answer:
[tex]3(x-2)+5x=26[/tex] (Given Equation)
[tex]3x-6+5x=26[/tex] (Distributive Property)
[tex]8x-6=26[/tex] (Combine Like Terms)
[tex]8x=32[/tex] (Addition Property of Equality)
[tex]x=4[/tex] (Division Property of Equality)
Step-by-step explanation:
To justify the solution paths of linear equations.
[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)
Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.
Therefore, [tex]3x-6+5x=26[/tex]
Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.
Therefore, [tex]8x-6=26[/tex]
Here, we add 6 to both sides.
[tex]8x=32[/tex]
Now, divide the both sides with 8.
[tex]x=4[/tex]
Therefore, the answer is:
[tex]3(x-2)+5x=26[/tex] (Given Equation)
[tex]3x-6+5x=26[/tex] (Distributive Property)
[tex]8x-6=26[/tex] (Combine Like Terms)
[tex]8x=32[/tex] (Addition Property of Equality)
[tex]x=4[/tex] (Division Property of Equality)
One number is 5 greater than another. The product of the numbers is 36.
Find the numbers.
Answer:4 and 9 are the numbers
Step-by-step explanation:
Answer:
4 and 9
Step-by-step explanation:
Factors of 36 are:
(1x36), (2x18), (3x12), (4x9), (6x6)
The ones with a difference of 5 are 4 and 9, and so therefore they are your answers.
Auto sales in a country increased from 16.5 million in 2014 to 17.5 million in 2015. Find the percent increase in auto sales from 2014 to 2015. Round to the nearest tenth of a percent._______%
Answer:
6.1%
Step-by-step explanation:
Amount increase=17.5-16.5
=1million
% increase= amount increase/original×100% amount
= 1/16.5×100%
= 6.1%
The percentage increase in auto sales is 6.1 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The auto sales of the country in 2014 = 16.5 million
The auto sales of the country in 2015 = 17.5 million
The increase in auto sales in 2015 from 2014 =
Auto sales of the country in 2015 - Auto sales of the country in 2014
The increase in auto sales in 2015 from 2014 = 17.5 million - 16.5 million
= 1 million
Now , the percentage increase in auto sales =
( Increase in auto sales / Auto sales of the country in 2014 ) x 100
The percentage increase in auto sales = ( 1 / 16.5 ) x 100
= 6.06 %
Therefore , the percentage increase is 6.1 %
Hence , the percentage increase in auto sales if 6.1 %
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The length of a rectangular deck is 5 times its width. If the deck’s perimeter is 24 feet, what is the deck’s area?
Answer:
20ft²
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 5W .......equation 1
2L + 2W = 24 ........equation 2
To find the width
Substituting equation 1 into equation 2, we have;
2(5W) + 2W = 24
10W + 2W = 24
12W = 24
W = 24/12
Width, W = 2 ft
To find the length;
Substituting the value of "W" into equation 1, we have;
L = 5W
L = 5*2
L = 10 ft
To find the area of the rectangle;
Area = LW
Area = 10*2
Area = 20 ft²
Therefore, the deck's area is 20 feet square.
What is the equivalent ratios of 4:12
Answer:
8:24
Step-by-step explanation:
Just multiply 4*2 and 12*2
Hope it helps
Answer:
8:24, 24: 72, 16:48
Step-by-step explanation:
There's a lot just multiply them by the same number
1. Adding decimals is very similar to adding___________.
2.Line up the number vertically so that all the decimal points are_______.
3. Add extra______to the right of the number so that each number has the same number of digits to the right of the decimal point.
4. Place the______________of the result in line with the other decimal points.
Answers:
1. Adding decimals is very similar to adding whole numbers.
2. Line up the number vertically so that all the decimal points are aligned.
3. Add extra zeros to the right of he number so that each number has the same number of digits the right of the decimal point.
4. Place the decimal point of the result in line with the other decimal points.
I hope this helped you. If it is please click the thanks button. Thank You, Bye! ;-D
1. Adding decimals is very similar to adding whole numbers.
2. Line up the number vertically so that all the decimal points are aligned.
3. Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal point.
4. Place the decimal point of the result in line with the other decimal points.
While adding two decimals.
First, the decimals numbers are written under each other so that decimal points are lined up.The numbers are converted to like decimals by attaching the zeros. The number of zeros attached depends on the number with the maximum digits after the decimal point. The digits of each numbers are lined up so that each column contains digits in the same place. Addition is carried out the normal way by starting from the right to the left. The decimal point is then placed in the place as the numbers above it.Learn more about decimal form here:
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Learn more about decimal addition here:
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Compare using <,> or = 5 3/4 _ 6 1/4
Answer:
5 3/4 > 6 1/4
Step-by-step explanation:
Why do plants provide animals with fruits such as strawberries, apples, and mangoes?
Answer:
For seed transfer. If an animal gathers fruit and eats it or just carries it away for later consumption, it will move the seed further away from the parent plant. That way, the new plants do not take from the parent plant's resources.
About 1/5 of all adults in the United States have type O blood. If four randomly selected adults donate blood, find the probability of each of the following events.
a. All four are type O.
b. None of them is type O.
c. Two out of the four are type O .
Answer:
We know that:
1/5 = 0.2 of all adults in US have type O blood.
Then: 4/5 = 0.8 of all adults in US do not have type O blood.
a) All four are type O.
Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8
Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:
P =0.2^4 = 0.0016
b) None of them is type O.
Similar to the above case, but this time we work with four times the probability 0.8
P = 0.8^4 = 04096
c) Two of the four are type O.
Here we will have two times the probability 0.2, and two times the probability 0.8.
p = 0.2^2*0.8^2
But, if the people is ordered, the two persons with type O blood can be:
first and second
first and third
first and fourth.
second and third
second and fourth
third and fourth.
6 different combinations, then the actual probability for this case will be:
P = 6*p = 6*(0.2^2*0.8^2) = 0.1536
The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
About 1/5 of all adults in the United States have type O blood.
p = 0.2
q = 1 - p = 1 - 0.2 = 0.8
a. All four are type O. The probability will be
P = p⁴
P = 0.2⁴
P = 0.0016
b. None of them is type O. The probability will be
P = q⁴
P = 0.8⁴
P = 0.4096
c. Two out of the four are type O. The probability will be
P = p² × q²
P = 0.2² × 0.8²
P = 0.04 × 0.64
P = 0.0256
More about the probability link is given below.
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A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects.A. TrueB. False
Answer:
The statement provided is False.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
The statement provided is:
"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."
Thus, the statement provided is False.
What is 15 divided by 7.4?
Brandon is landscaping his backyard. He bought 2 7\8tons of decorative rock and 1 2\5 tons of boulders. How many total tons of rock did he buy?
Answer:
4 11/40 hope this helps :)
Step-by-step explanation:
Answer:
4 11/40
Step-by-step explanation:
I had this question
ATA movie theater the size of popcorn has decreased by 10%. If the old bag held 14 cups how much does the new bag hold
I think
Step-by-step explanation:
12.5 since it decreases 10% and the old bag had 14 cups and 10% is 1.4
Plz help!
In order for the parallelogram to
be a rectangle, x = [? ]°
13x+349
10x+10°
Answer:
pretty sure its 2
Step-by-step explanation:
ignore the messing hand writing but I think this is why
Who ever gets this question right is BRAINLIEST. Answer For 15 Points
Answer:
ITS C:D pls give brainliest
Step-by-step explanation:
add all it equals C, 16.25
What is the u equal to -4=u/2-8
Answer:12. V is not needed, and just substitute the letters with the numbers the correspond to.
Step-by-step explanation:
are the triangles congruent? if they are, state how they are congruent.
Answer: Yes
Step-by-step explanation: by SAS
Answer:
Step-by-step explanation:
ASA postulate of congruence.
Mr. G drove a total of 252 miles and used 42
used dia
gallons of gas last weekend. What is the unit
rate of miles to 1 gallon?
R
Answer: 890
Step-by-step explanation:
A 3-pound bag of carrots costs $11.52. What is the price per ounce?
Answer:
3.75
Step-by-step explanation:
Just divide it in the future!! :)
Answer:
$0.24
Step-by-step explanation:
There are 48 ounces in 3 pounds. Divide 48 by 11.52 to get the unit rate, and the unit rate is $0.24 per ounce
f(x) = 4x + 2 and g(x) = x2–2, find the value of f(2) +g(3)
Answer:
14
Step-by-step explanation:
f(2)=4(2)+2
f(2)=10
g(3)=2(3)-2
g(3)=6-2
g(3)=4
10+4=14
Answer:
17
Step-by-step explanation:
f(x) = 4x + 2
g(x) = x² - 2
f(2) = 4(2) + 2 = 10
g(3) = 3² - 2 = 7
10 + 7 = 17
In retailing there is a direct interaction with *
O producer
O
customer
O wholesaler
all of the above
Anne’s potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answer:
4 lbs
Step-by-step explanation:
1:4=4:16
16 is bigger than 14
So 4 lbs
Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars and cents did charli pay for the pears and grapes?
Answer:
[tex]Total = \$5.94[/tex] ---- in dollars
[tex]Total = 594\ cents[/tex] ---- in cents
5 dollars 94 cents
Step-by-step explanation:
Given
Pears
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$0.76[/tex] per pound
Grapes
[tex]Weight = 2\frac{3}{4}\ lb[/tex]
[tex]Amount = \$1.40[/tex] per pound
Required
Determine the amount paid for the fruit in dollar and cents
First, we need to calculate the amount paid for each fruit.
This is calculated by multiplying the amount per pound by the number of pounds bought.
For Pears:
[tex]Total_{Pears} = 2\frac{3}{4} * \$0.76[/tex]
Convert fraction to decimal
[tex]Total_{Pears} = 2.75 * \$0.76[/tex]
[tex]Total_{Pears} = \$2.09[/tex]
For Grapes
[tex]Total_{Grapes} = 2\frac{3}{4} * \$1.40[/tex]
Convert fraction to decimal
[tex]Total_{Grapes} = 2.75 * \$1.40[/tex]
[tex]Total_{Grapes} = \$3.85[/tex]
Next, we add both amounts together to get the total amount spent in dollars.
[tex]Total = Total_{Pears} + Total_{Grapes}[/tex]
[tex]Total = \$2.09 + \$3.85[/tex]
[tex]Total = \$5.94[/tex]
Multiply by 100 to convert this amount to cents
[tex]Total = 5.94 * 100\ cents[/tex]
[tex]Total = 594\ cents[/tex]
And it can be represented as dollars and cents as:
5 dollars 94 cents
A car travels 180 miles in 4 hours. What is
the car’s speed in feet per minute?
Answer:
3,960 feet per minute, brainliest pls
Step-by-step explanation:
Answer:
3960 feet per minute
Step-by-step explanation:
1 mile = 5280 feet
Therefore,
180 miles = 180*5280
180 miles = 950400 feet
1 hour = 60 minutes
So, 4 hours = 240 minutes
Speed if the car
= 950400/240
= 3960 feet per minute
Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60
A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.
Answer:
B
Step-by-step explanation:
The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.
The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.
5x+3y=210
The total number of chocolate boxes will be expressed as:-
x + y = 60
Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
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Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y / 4 x - Z
Answer:
5
Step-by-step explanation:
12 x - 3y / 4 x - Z
=12×3-3×1/3÷4×3-5
=36-1/12-5
=35/7
=5
So the final answer is 5.
Help please it’s math
If his truck pulls forward with a force of 2,750 newtons and the weight of the trailer pulls backward with a force of 2,790 newtons, which of the following statement is true?
A.
The truck will experience a net force of 2,750 newtons forward.
B.
The forces acting on the truck and trailer are balanced.
C.
The truck and trailer will experience a net force of 40 newtons backward.
D.
The truck and trailer will experience a net force of 40 newtons forward.
Answer:
The answer is c
Step-by-step explanation: