Answers
9514 1404 393
Answer:
9(x +y)
Step-by-step explanation:
You observe that both terms have a coefficient of 9. The distributive property lets you factor that out, so you can rewrite the expression as ...
9x +9y = 9(x +y)
_____
It might help to think of parentheses as a "bag." The expression 9(x+y) tells you the contents of one bag is (x+y) and you have 9 of them. You could think of x, and y as representing two different physical objects, for example, perhaps a ball and a cube.
The first expression, 9x +9y, tells you that you have 9 of each of these objects. The distributive property says this could be the result of dumping the contents of 9 bags, each containing one each of the objects. The expression 9(x+y) is the version of the expression that shows these objects as being grouped into 9 bags.
Related Questions
What is the determinant of the image shown?
–74
–51
51
69
Answers
The determinant of the matrix given in the image is -61
Determinant of matrixA = -2 2 -5
4 -1. -2
1 3 -5
A = -2{(-5× -1) - (3 × -2)} + -2{(-5×4) - (-2×1)} + -5{(4×3) - (-1×2)}
= -2{(5-(-6)} + -2{(-20 -(-2)} + -5{(12-(-2)}
= -2(5 + 6) + -2(-20+2) + -5(12+2)
= -2(11) + -2(-18) + -5(14)
= -22 + 36 -75
= -61
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Answer:
b)-51
Step-by-step explanation:
just took test.
If x = 2 , y = 3 and z = 4 , find the value of y2 Z2 -x2
Answers
Answer:
y²z²-x²
3*3*4*4-2*2
3*16-4
48-4
44
Step-by-step explanation:
* means multiply
Answer:
[tex]here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you[/tex]
In October the amount of snowfall was 1/2feet in January the amount of snowfall was 5 3/8 feet what was the amount of snowfall in the two months combined
Answers
The radius of a circle is 8cm. What is the circumference?
Answers
C=2πr=2·π·8≈50.26548
Select two ratios that are equivalent to 27 : 9.
Answers
Answer:
the ratio are missing
Step-by-step explanation:
27 : 9 can be written as
3:1
54 :18
Answers:
3 : 1
54 : 16
What was the first inverse operation to find the answer of -4(3x -5) < 2(3x+ 4)
Answers
Answer:
First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation
Step-by-step explanation:
which property is illustrated by the following ?
if a = b + 7 and b + 7 = 9, then a = 9
Answers
Step-by-step explanation:
Associative property
We know
a + (b + c) = (a + b) + c
a = b + 7
b + 7 = 9
Rearrange Eq. 2
9 = b + 7
a = b + 7
Hence,
Value of a is 9
Based on the data which table shows a constant of proportionality of 3 for the ratio of Amos and guitars?
Answers
what is the difference between 2/3 - 1/2
Answers
You purchase a stock at $100 per share. It drops 40% the next day; however, a week later, it increases in value by 40%. If you sell it, will you break even? Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
You start off with $400 and it drops 40%. Then the price dropped all the way down to $240. If it goes up another 40% of 240, that'll be $336. So you lost around $64
In this exercise we have to use our knowledge of finance to analyze the given situation and identify if a break even occurs, so we have:
Yes, you will have a break even, as you lose 16 dollars per sale.
First we have to analyze what the break even is, this would be:
In commerce and trade, particularly cost accounting, the break-even point (BEP) exist the point at that cost or expense and profit exist equal: there happen no total amount of money lost or gain, and individual bear "crushed even". In the linear case the break-even point happen effective the established costs detached for one contribution room around something for one.Returning to the question, we have that:
[tex]100-40\%= 60\\60+40\%=84\\100-84=16[/tex]
See more about finances at brainly.com/question/10024737
Solve the equation.
6(x + 7) = 5(x - 7) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answers
Answer:C
Step-by-step explanation:
6(x+7)=5(x-7)+x
⇔6x+42=5x-35+x
⇔6x-5x-x=-35-42
⇔0x=-77
Can someone that's very good at math please help me?
35: Problem Solving:You deposit $2000 in an account that earns simple interest at an annual rate of 4%.How long must you leave the money in the account to earn $500 in interest?
36: Problem Solving: A flight averages 460 miles per hour.The return flight averages 500 miles per hour due to a tailwind.The total flying time is 4.8 hours.How long is each flight?
Answers
Answer:
35 :
t = 6.25 years
(about 6 years 3 months)
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((2500/2000) - 1) = 6.25
t = 6.25 years
The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).
36:
The two distances are the same (out and back), so set them equal.
That is done by having a (rate)(time) equal a (rate)(time).
One time is “x” and the other is “4.8-x.”
One rate is 460 and the other is 500.
460 x = 500 (4.8 -x)
460 x = 2400 - 500x
900 x = 2400
x = 2.5 hours for the slower plane.
4.8- x = 2.3 hours for the faster plane.
8 more than the product of 7 and a number t
Write an algebraic expression
Answers
Answer:
7t + 8
Step-by-step explanation:
I got 12 for this but can someone go over it and show the steps please & thanks!!
Answers
Answer:
=12
Step-by-step explanation:
2 × {4 ÷ 2 -5}^2 -6
Solve the brackets first
2 × { 2 -5}^2 -6
2 ×{ [tex]-3^{2}[/tex]} -6
2 × 9 -6
18 -6
= 12
Answer:
12
Step-by-step explanation:
Solve the bracket
2* (4÷2-5)^2 -6
2× (2-5)^2 -6
2×(-3)^2 -6
2×(-3×-3)-6 (- × - = +) Negative × Negative = Positive
2×(9)-6
18-6
12 is the final answer
Erin is buying produce at a store. She buys c cucumbers at $0.69 each and a apples at $0.89 each. What does the expression 0.69c + 0.89a represent?
The expression represents the
(select)
.
Answers
Answer:
It represents the total amount that Erin is going to spend at the store.
Step-by-step explanation:
Round the following numbers to the nearest
tenth:
3.568409
-1.293857291
Answer:
Answer:
I
110.254
2.932789
Answer:
Answer:
Answers
Answer:
3.6
- 1.3
110.3
2.9
Step-by-step explanation:
[tex]-3c+8=-10[/tex]
Answers
[tex] - 3c + 8 = - 10 \\ \\ - 3c = - 10 - 8 \\ \\ - 3c = - 18 \\ \\ c = - 18 + 3 \\ \\ c = - 15[/tex]
Hope it help youAnswer:
c = 6
Step-by-step explanation:
[tex] - 3c + 8 = - 10[/tex]
[tex] - 3c + 8 - 8 = - 10 - 8[/tex]
[tex] - 3c = - 10 - 8[/tex]
[tex] - (10 + 8) = - 18[/tex]
[tex]c =-18÷(-3)= 18 \div 3[/tex]
[tex]\boxed{\green{c = 6}}[/tex]
Factor by using the perfect square trinomial formula
x^2+4x+4
A. x^2 +4x+4=__
B. The poly. is prime
Answers
When multiplying 16 by a number greater than 1 which of the following is always true? When multiplying 16 by a number greater than 1 which of the following is always true?
A
The product will be less than 16.
B
The product will equal the first factor.
C
The product will be greater than 16.
D
The product will be between 1 and 16.
Answers
Answer:
c
Step-by-step explanation:
16* a number greater than one will increase the number to a number higher than 16. the product is the result of multiplication and multiplication increases your value.
Answer:
C
Step-by-step explanation:
for example if you do 16n (n=2)
the answer would be 32
Or another example is 16y (y=12)
the answer is 192
pleaseeeee answer fast
Answers
A triangle has side lengths of (7n-2p)(7n−2p) centimeters, (2n+4q)(2n+4q) centimeters, and (q-5p)(q−5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR
53n² +29p² +17q² -14np +8nq -10pq
Step-by-step explanation:
The perimeter is found by adding all the side lengths.
P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)
We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²
P = (7n-2p)² + (2n+4q)² + (q-5p)²
We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab
P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq
Combine like terms
P = 53n² +29p² +17q² -14np +8nq -10pq Please simplify 6p-2q+4r-2p+3s+5q
Answers
Answer:
[tex]6p - 2q + 4r - 2p + 3s + 5q[/tex]
group the like terms together:
[tex] = (6p - 2p) + ( - 2q + 5q) + 4r + 3s[/tex]
simplify:
[tex] = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}[/tex]
Find the third term in the expansion of (a+b)^9 in the simplest form
Answers
Answer:
[tex]The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
Step-by-step explanation:
[tex]\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\[/tex]
The given expression is:
[tex](a+b)^9[/tex]According to the question,
→ [tex]\binom{9}{1} = \frac{9}{1}[/tex]
[tex]= 9[/tex]
→ [tex]\binom{9}{2} = \frac{9\times 8}{2\times 1}[/tex]
[tex]= \frac{72}{2}[/tex]
[tex]= 36[/tex]
Now,
→ [tex](a+b)^9 = a^9+\binom{9}{1}a^8b+\binom{9}{2}a^7b^2+...+b^9[/tex]
hence,
The third term is "[tex]36a^7b^2[/tex]".
Thus the approach above is appropriate.
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People who have a vitamin D deficiency also tend to have high blood pressure.
1. Identify the correct interpretation of the statement.
a. Vitamin D deficiency and high blood pressure have a cause-effect relationship in both directions.
b. Taking vitamin D will decrease your likelihood of developing high blood pressure.
c. Vitamin D deficiency causes high blood pressure.
d. Among people who have a vitamin D deficiency, a larger proportion have high blood pressure than not.
2. If there were something genetic which made people simultaneously more susceptible to both vitamin D deficiency an' high blood pressure, that would be an instance of : _________
a. the placebo effect.
b. common response.
c. confounding.
d. direct causation.
Answers
Two poles, A and B, are 12 meters apart. Pole A is 5 meters high. A rope 20 meters long is tied to the top of pole A and stretches to the top of pole B. What is the height of pole B? Assume that pole B is taller than pole A.
Hint: Use the Pythagorean theorem to find the value of x.
A.
19
B.
20
C.
21
D.
13
E.
15
Answers
Which digit is in the ten billions place? 163,097,000,452
Answers
Answer:
The digit 6 is in the ten billions place.
It's value is 60,000,000,000
Hope it helps :)
Triangle A’ B’ C’ is the image of triangle A B C under a rotation about the origin, (0,0)
Answers
Answer:
The triangle A B C will be the image of triangle of A B C in origin (0,0)
3x2 + 5x - 7(x2 + 4)
Answers
Answer:
-4x^2+5x-28
Step-by-step explanation:
Expand -7(x^2 +4) = 3x^2+5x-7x^2-28
Simplify 3x^2+5x-7x^2-28 = -4x^2+5x-28
Answer: -4x² + 5x - 28
Step-by-step explanation:
Given expression
3x² + 5x - 7 (x² + 4)
Expand parentheses and apply the distributive property
=3x² + 5x - 7x² - 28
Combine like terms
=(3x² - 7x²) + 5x - 28
=[tex]\boxed{-4x^2+5x-28}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
helppppppppppppppppppppppppppp
Answers
Answer:
14 cm
Step-by-step explanation:
One side of the composite has a length of 6 and the other side has a length of 8.
If we add these two numbers, we'll get the missing side length of the rectangle
6 + 8 = 14 cm
The relationship between adult dog weight x in pounds and the daily recommended amount of dog food y in cups is proportional.
Write an equation for the relationship. How much dog food is recommended for a 25- pound adult dog?
please help me
no links or files
thank you !
Answers
Using proportional relations, it is found that:
The equation for the relationship is [tex]\frac{x}{60}[/tex].[tex]\frac{5}{12}[/tex] cups is recommended for a 25- pound adult dog.-------------------------------
The amount of cups of food y is proportional to the weight of a dog, which is of x pounds, and thus, the following equation models the situation:
[tex]y = cx[/tex]
In which c is the constant of proportionality.
-------------------------------
[tex]\frac{1}{6}[/tex] of a cup is needed to feed a dog of 10 lbs.This means that when [tex]x = 10, y = \frac{1}{6}[/tex]This is used to find c.[tex]y = cx[/tex]
[tex]\frac{1}{6} = 10c[/tex]
[tex]60c = 1[/tex]
[tex]c = \frac{1}{60}[/tex]
Thus, the equation for the relationship is:
[tex]y = \frac{x}{60}[/tex]
-------------------------------
The amount of cups needed for a 25-pound dog is y when x = 25, thus:
[tex]y = \frac{25}{60} = \frac{5}{12}[/tex]
[tex]\frac{5}{12}[/tex] cups is recommended for a 25- pound adult dog.
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