The total amount of money that he had deposited into his account at the end of March is .
Solve 2(x+5) using distributive properties simplify the following expression
Answer:
Although the image has two terms inside the parenthesis rather than three terms in the question, we can apply it to this question.
The
2
multiplies to everything inside the parenthesis:
(
2
⋅
x
)
+
(
2
⋅
−
5
)
+
(
2
⋅
2
)
=
6
Now simplify by multiplying:
2
x
−
10
+
4
=
6
Combine
−
10
+
4
:
2
x
−
6
=
6
Add
6
to both sides:
2
x
−
6
+
6
=
6
+
6
2
x
=
12
Divide both sides by
2
2
x
2
=
12
2
x
=
6
Hope this helps!
Answer:
[tex]\huge\boxed{\sf{2x+10}}[/tex]
Step-by-step explanation:
Hello.
Please remember the formula for the Distributive Property:
a(b+c)=ab+ac, where a, b, and c can be variables (letters) or constants (numbers)
Now that we know the formula for the Distributive Property, let's distribute:
2(x+5)
2x+10
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
144kg in the ratio of 9:8:7
Step-by-step explanation:
Hey there!
Given;
Ratio = 9:8:7
Let "x" be the common factor. So,
9x+8x+7x = 144
or, 24x = 144
or, x = 144/24
or, x= 6
It's like;
= 9*6:8*6:7*6
= 54:48:42
Therefore, their ratio is 54:48:42.
Hope it helps...
Which expression represents the phrase: “3 fewer than a number, p”?
Answer:
p - 3
Step-by-step explanation:
"fewer than" means subtract from, in this case 3, from an unknown number represented by p
The expression represents the phrase: “3 fewer than a number, p" is
(p-3).
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
Statement - “3 fewer than a number, p”
We know that the symbol for fewer would subtraction.
Then, the mathematical expression for 3 fewer than a number, p is
= (p - 3)
Thus, the required expression is (p-3).
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(2) 3a-3b (3) 2ab+cd
Answer:
2: 4
3:32
Step-by-step explanation:
so you are first going to solve in the parentheses and then solve the exponents
Delicious bakeshop sells a ratio of 3 powdered donuts to 5 glazed donuts. Which of the follow represents the ratio of powdered donuts to glazed donuts? Question 1 options: 15 to 30 15 to 18 18 to 24 21 to 35
Answer:
21 to 35
Step-by-step explanation
I aced the test
A student bought 11 pencils and a pad of paper.
The pencils each cost the same amount.
The pad of paper costs $4.99.
The student spent a total of $18.74, not including tax
Answer:
Each pencil costs $1.25
Step-by-step explanation:
$18.74 - 4.99=13.75
13.75/11=$1.25
You have to take the total amount and subtract how much the paper pad costs then you get 13.75 and that is how much the student paid for all 11 pencils so you divide it by 11 and you get $1.25
3x-5 (2x+6) = 4(2x+3)+18
Answer:
= − 4
Step-by-step explanation:
What makes 3+7+2 = +2
Answer:
21 because it all postive and equls
Step-by-step explanation:
Please!!! Help me :((((
Answer:
1 mile
Step-by-step explanation:
Points A , B , and C are collinear and AB : AC = 3 : 5. Point A is located at (2, 4), point B is located at ( x, 4), and point C is located at (12, 4).
What is the value of the x coordinate of point B ?
Answer:
x = 8
Step-by-step explanation:
[tex]xp = 2 + \frac{3}{5} (12 - 2) [/tex]
I did 12 -2 which equals 10
10 times 3/5 equals 6
6 plus 2 equals 8
A state forest service is conducting a study of the people who use state-operated camping facilities. The state has two camping areas, one located in the mountains and one located along the coast. The forest service wishes to estimate the average number of people per campsite during a popular weekend when all sites are expected to be used. There are 50 campsites in the mountains and 100 along the coast. From experience, the forest service knows that most sites in the mountains contain from 1-6 people and most sites along the coast contain from 1-10 people. Suppose the forest service can afford to conduct 20 interviews (e.g. they can select 20 campsites) (because they are asking many other questions in addition to number of people using the campsite and they want to do the interviews in person).
Using Neyman allocation, how would you suggest they allocate the 20 interviews among these 2 strata to minimize the standard error of the estimate of the overall average number of people per campsite?
Answer:
Allocation: 4 samples should be from the mountain and 16 from along the coast.
Step-by-step explanation:
Neyman allocation is technique of sample allocation used in cases of stratified sampling.
The formula to compute the best sample size of each stratum is:
[tex]n_{h}=n\times \frac{(N_{h}\times SD_{h})}{\sum\limits^{k}_{i=1}(N_{i}\times SD_{i})}[/tex]
The information provided is:
[tex]N_{m}=50\\N_{c}=100\\n=20\\[/tex]
Compute the range for the number of people at the mountain campsite as follows:
[tex]R_{m}=6-1=5[/tex]
Then the standard deviation for the number of people at the mountain campsite will be:
[tex]SD_{m}=\frac{R_{m}}{4}=\frac{5}{4}[/tex]
Compute the range for the number of people along the coast campsite as follows:
[tex]R_{c}=10-1=9[/tex]
Then the standard deviation for the number of people along the coast campsite will be:
[tex]SD_{c}=\frac{R_{c}}{4}=\frac{9}{4}[/tex]
Compute the sample size for the mountain campsite as follows:
[tex]n_{m}=n\times \frac{(N_{m}\times SD_{m})}{(N_{m}\times SD_{m})+(N_{c}\times SD_{c})}[/tex]
[tex]=20\times \frac{(50\times (5/4))}{(50\times (5/4))+(100\times (9/4))}\\\\=20\times 0.2174\\\\=4.348\\\\\approx 4[/tex]
Compute the sample size for along the coast campsite as follows:
[tex]n_{c}=n-n_{m}=20-4=16[/tex]
Thus, 4 samples should be from the mountain and 16 from along the coast.
Find the perimeter of the figure below, composed of an isoceles trapezoid and one semicircle. Rounded to the nearest tenths place
I can't see the semi circle is that image. From what I see, the perimeter of the trapezoid is 41.
Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls now?
Answer:
15 and 26
Step-by-step explanation:
Answer:
Rita is 17 years old and Cheryl is 7
Hope this Helps :)
Step-by-step explanation:
PLEASE HELP ITS DUE TODAY IN LESS THAN 2 HOURS PLEASEEE!!!
Answer:
Range is y>= -3. That is all I know for sure, sorry!
Step-by-step explanation:
Emma and Clair are planning to sell lemonade on their street. They have two recipes to choose from. Emma’s recipe calls for the juice of 5 lemons and 2 cups of water. Clair’s recipe calls for the juice of 2 lemons and 1 cup of water. Why will the first recipe taste more “lemony”?
Answer:
lemons is greater ratio
Step-by-step explanation:
cause the ratio is larger
lemons to water
5:2
2:1
simplify....
2.5:1
2:1
lemons is greater ratio
Answer:
Emma's recipe will be more "lemony"
Step-by-step explanation:
If you are to take Clair's recipe and multiply it x2 so that the common denominator (cups of water) is equal, it will show you that Emma's recipe has more lemons in it; therefore will be more "lemony"
Please will give brainliest and thanks
Answer:
a
Step-by-step explanation:
Double negatives make a positive. Hope this helps!
Zach is playing a video game. A penalty in Jupiter Battle is a loss of 7 power points. Zach lost a total of 49 power points. How many
times was Zach penalized?
es.)
Answer:
7
Step-by-step explanation:
Mark me brainlist
Add. Simplify your answer.
4 4
— + — =
9 9
Solve for x: |x + 2| + 16 = 14
is V81 a rational number
Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of mike and randys age
Answer:
5:8 po ba ang ratio kasi 5mike
and 8randy old
The proportional relationships that have the same ratio to that of mike and randys age include:
Sarah is 40 years old and her mother is 64 years old.Phill is 40 years old and Moleka is 25 years old.Since Mike is 5 years old and Randy is 8 years old, their ratio is 5:8.
Also, since Sarah is 40 years old and her mother is 64 years old. We can divide their ages by 8. Then the ratio will be 5:8.
Phill is 40 years old and Moleka is 25 years old. We can divide their ages by 5. Then the ratio will be 5:8.
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Find Volume
A sphere has a radius of 1.5 feet.
Answer:
V=14.14ft^3
Step-by-step explanation:
V=4/3(π)1.5^3
=4/3(π)3.375
=14.14ft^3
Answer:
14.1 ft³ (to 3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3}π{r}^{3} }[/tex]
Given that the radius is 1.5 feet, substitute r= 1.5 into the formula above:
Volume of sphere
[tex] = \frac{4}{3} (π)( {1.5}^{3} ) \\ = 14.1 \: ft^{3} [/tex]
(to 3 s.f.)
what is the slope of this line ((2,3) (5,5) (8,7)
Answer:
[tex]\huge\boxed{\text{the slope}=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
The formula of a slope
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coorcinates of the points:
(2, 3); (5, 5)
[tex]m=\dfrac{5-3}{5-2}=\dfrac{2}{3}[/tex]
(2, 3); (8, 7)
[tex]m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]
The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.
4. Write two different ways you can find 125% of 8.
Answer: METHOD 1 Determine the part by multiplying the percent and the whole:METHOD 2 Determine 25% of 8:
125\% \times 8=1.25\times 8=10
125%×8=1.25×8=10
Step-by-step explanation:
What is the product?
(x4)(3x2 - 2) (4x2 + 5x)?
Answer:
1 Remove parentheses.
{x}^{4}(3{x}^{2}-2)(4{x}^{2}+5x)x
4
(3x
2
−2)(4x
2
+5x)
2 Expand by distributing terms.
(3{x}^{6}-2{x}^{4})(4{x}^{2}+5x)(3x
6
−2x
4
)(4x
2
+5x)
3 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
12{x}^{8}+15{x}^{7}-8{x}^{6}-10{x}^{5}12x
8
+15x
7
−8x
6
−10x
5
There are 16 squares and 4 circles. What is the simplest ratio of circles to squares?
the simplest ratio of the Squares to the circle is 4:1.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, There are 16 squares and 4 circles.
Since there are 16 squares for 4 circles
The ratio of the Squares to the circle = 16/4
The ratio of the Squares to the circle = 4/1
Therefore, the simplest ratio of the Squares to the circle is 4:1.
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PLS HELP ASAP‼️‼️ i need pleaseeeeeee
Answer:
-2x^4 - 6x^3 - 8x^2
Step-by-step explanation:
Write an equation for the line that passes through (4, 5) and (6, 7).
|
Answer:
y=x+1
Step-by-step explanation:
The first step I took was to find the slope. A slope is equal to the rise over the run. The equation goes up 2 for every 2 it goes over, which means that the slope is 2/2 or 1. Then you need to determine the y intercept. I usually go about this by thinking logically about the problem. Because there is a point at (4,5) and the slope is 1, there must also be a point at (3,4) (2,3) (1,2) and (0,1) Because the x value in (0,1) is 0, we know that the y intercept must be 1, so I added 1 to the equation. The last step is putting it all together. We know that a linear equation is y=mx+b (m being the slope, b being the y-intercept) so the final equation is y=x+1
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure. What is the sample size for this poll? Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.) Discuss the poll in terms of the population and sample framework that we have studied in this chapter. This random sample of responses collects the opinions of a random group of users across all users of the Internet. This voluntary response sample collects only the opinions of those that visit this site every day. This random sample of responses collects the opinions of a random group of users of the particular site. This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Complete Question
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.
a)
What is the sample size for this poll?
b)
Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)
c)
Discuss the poll in terms of the population and sample framework that we have studied in this chapter.
i)
This random sample of responses collects the opinions of a random group of users across all users of the Internet.
ii)
This voluntary response sample collects only the opinions of those that visit this site every day.
iii)
This random sample of responses collects the opinions of a random group of users of the particular site.
iv)
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Answer:
a
[tex]n = 1324[/tex]
b
YES [tex]y = 48.03 \% [/tex]
NO [tex]m =44.94 \% [/tex]
NOT SURE [tex]m =7.02\% [/tex]
c
The correct option is (iv)
Step-by-step explanation:
From the question we are told that
The voting options are "Yes, " "No, " "Not sure, " or "Don't care."
The number of people that said is [tex]Y = 636[/tex]
The number of people that said No is [tex]N = 595 [/tex]
The number that indicated Not sure is [tex]S = 93[/tex]
Generally the sample size is mathematically represented as
[tex]n = Y + N + S[/tex]
=> [tex]n = 636 + 595 + 93[/tex]
=> [tex]n = 1324[/tex]
Generally the percentage of responses that was Yes is mathematically represented as
[tex]y = \frac{636}{ 1324} * 100[/tex]
=> [tex]y = 48.03 \% [/tex]
Generally the percentage of responses that was No is mathematically represented as
[tex]m = \frac{595}{ 1324} * 100[/tex]
[tex]m =44.94 \% [/tex]
Generally the percentage of responses that was Not sure is mathematically represented as
[tex]s = \frac{93}{ 1324} * 100[/tex]
[tex]m =7.02\% [/tex]
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.