Question:
Here are five sums. Use the distributive property to write each sum as a product with two factors.
[tex](a)\ 2a + 7a[/tex] [tex](b)\ 5z - 10[/tex] [tex](c)\ c - c^2[/tex] [tex](d)\ r + r+ r+ r[/tex] [tex](e)\ 2x - \frac{1}{2}[/tex]
Answer:
[tex](a)\ 2a + 7a = 9a[/tex]
[tex](b)\ 5z - 10 = 5(z - 2)[/tex]
[tex](c)\ c - c^2 = c(1 - c)[/tex]
[tex](d)\ r + r + r + r = 4r[/tex]
[tex](e)\ 2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]
Step-by-step explanation:
Required
Apply distributive property
[tex](a)\ 2a + 7a[/tex]
Apply distributive property [Factor out a]
[tex]2a + 7a = a(2 + 7)[/tex]
[tex]2a + 7a = a(9)[/tex]
Open bracket
[tex]2a + 7a = a*9[/tex]
[tex]2a + 7a = 9a[/tex]
[tex](b)\ 5z - 10[/tex]
Express 10 as 5 * 2
[tex]5z - 10 = 5z - 5*2[/tex]
Apply distributive property [Factor out 5]
[tex]5z - 10 = 5(z - 2)[/tex]
[tex](c)\ c - c^2[/tex]
Express c as c * c
[tex]c - c^2 = c - c * c[/tex]
Apply distributive property [Factor out c]
[tex]c - c^2 = c(1 - c)[/tex]
[tex](d)\ r + r+ r+ r[/tex]
Express r as r * 1
[tex]r + r + r + r = r * 1 + r * 1 + r * 1 + r *1[/tex]
Apply distributive property [Factor out 1]
[tex]r + r + r + r = r(1+1+1+1)[/tex]
[tex]r + r + r + r = r * 4[/tex]
[tex]r + r + r + r = 4r[/tex]
[tex](e)\ 2x - \frac{1}{2}[/tex]
Express 2x as 4x/2
[tex]2x - \frac{1}{2} = \frac{4x}{2} - \frac{1}{2}[/tex]
Apply distributive property [Factor out 1/2]
[tex]2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]
Important help asap.
Answer: y = 5x
Step-by-step explanation:
(check to make sure it matches the graph)
y = 5(0) = 0
y = 5(2) = 10
y = 5(4) = 20
y = 5(6) = 30
y = 5(20) = 100 dollars
A rectangle has and area of 55 Square inches and a length of 5 inches what is the width
Answer:
11 inches
Step-by-step explanation:
55/5 = 11
Tyler is simplifying the expression 6−2x+5+4x . Here is his work:
6−2x+5+4x
(6−2)x+(5+4)x
4x+9x
13x
a. Tyler’s work is incorrect. Explain the error he made.
email
I need some help please it’s due in 20 minutes!
Answer:C
Step-by-step explanation:
I am not that sure.. but I think the answer is C.
Helpppppppppp meeee please
Answer:
<2 and <8
<3 and <5
Step-by-step explanation:
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
This is my 100th question answered!
If a town with a population of 1,000 doubles in size every 46 years, what will the population be 92 years from now?
Answer:
3,000 or 2,000 depends of where it starts at zero or 1,000
Step-by-step explanation:
Hiiiooo! Can somebody please help with this:)❤️❤️❤️
Answer:
25
Step-by-step explanation:
A number cube is tossed and the spinner below is spun. Find P(3 and C).
Answer:
[tex]P(3\ and\ C) = \frac{1}{24}[/tex]
Step-by-step explanation:
Given
Cube and Spinner (See attachment for spinner)
Required
Find P(3 and C)
In the attached spinner, there are 8 partitions and C = 2
So:
[tex]P(C) = \frac{2}{8}[/tex]
[tex]P(C) = \frac{1}{4}[/tex]
In a number cube, there are 6 faces and 1 side is 3.
So:
[tex]P(3) = \frac{1}{6}[/tex]
P(3 and C) is calculated as:
[tex]P(3\ and\ C) = P(3) * P(C)[/tex]
[tex]P(3\ and\ C) = \frac{1}{6} * \frac{1}{4}[/tex]
[tex]P(3\ and\ C) = \frac{1}{24}[/tex]
factorise completely 5x²-5
Factor:
5x^2 − 5
5x^2 − 5
= 5 ( x + 1 ) ( x − 1 )
Answer:
5 ( x + 1 ) ( x − 1 )
heyyy please help FACTORISE (x-x)
Answer:
The answer is death :/
LOL JK JK JK
The answer is 0
Brainiliest tho?
A local theater is selling tickets for a play. Student tickets cost $4.50 and adult tickets cost $7.50 each. The theater can hold at most 800 people and would like to make at least $3000.
Write a system of inequalities
A truck travels 90 miles on 6 gallons of gas.
What is the rate the truck travels in miles per gallon?
Answer:
15 miles per gallon
Step-by-step explanation:
Divide miles travelled by gallons used, that is
90 ÷ 6 = 15 miles per gallon
The rate of the truck is 15 miles per gallon.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a truck travels 90 miles on 6 gallons of gas. The rate of truck will be calculated as:-
Divide miles travelled by gallons used, that is
Rate = 90 ÷ 6
Rate = 15 miles per gallon
Hence, the rateis 15 miles per gallon.
To know more about an expression follow
https://brainly.com/question/11924940
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William bought some cashews and walnuts. Spending the same amount of money as William, his twin Jillian bought twice as many cashews and 10 less walnuts. If the cost of one walnut is 2 more than the cost of cashew, then what is the minimum possible number of cashews bought by the twins together?
Answer: 33
Step-by-step explanation:
Given
The cost of one walnut is 2 more than the cost of a cashew
Jillian bought twice the amount of cashew as William and 10 fewer walnuts
Suppose the price of cashew and walnuts be x and x+2
Assume William bought a cashew and b walnuts
Money spent by Willian
[tex]\Rightarrow W=a(x)+b(x+2)[/tex]
Money spent by Jillian
[tex]\Rightarrow J=2a(x)+(b-10)(x+2)[/tex]
They spent equal money i.e.
[tex]\Rightarrow ax+bx+2b=2ax+bx+2b-10x-20\\\Rightarrow ax-10x-20=0\\\Rightarrow (a-10)x=20\\\text{Here product of two number is 20 , so both must be greater than 0}\\\therefore a-10>0\\\Rightarrow a>10\\\text{i.e. minimum value of a is 11}[/tex]
The amount of cashew both twins bought is a+2a=3a
[tex]\Rightarrow 3a=3\times 11=33[/tex]
Write the linear equation in slope-intercept form given the following: (-4, 6); slope = -3/4
Answer:
6=-3/4x+(-4)
Step-by-step explanation:
The equation of any straight line, called a linear equation, can be written as: y= mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. So for the given information you can see that they gave you your slope of -3/4 so you fill that in under the m. The point that would cross the y axis would be -4 because when you think of it on a graph you would see it as (-4 y) and (6 x). When you are writing linear equations you use the form y=mx+b.
Hope this helps
Indicate in standard form the equation of the line passing through the given point and having the given slope.
R = (4, 0), m = 5
Can someone help with this?
Priscilla is 24 inches tall. There are 2.54 centimeters in 1 inch. What is Priscilla's height in centimeters?
please help me with this i don’t understand it
Answer:
62
Step-by-step explanation:
119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62
i hope this helped!
Someone plz help me!!! I will give brainliest
Answer:
Step-by-step explanation:
the 2nd one
that's easy, the last choice
a=1/2b*h
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.
Answer:47.5
Step-by-step explanation:
5000 at 9% for 4 years. pls help me
Answer:
$5,024
Step-by-step explanation:
01:48:05
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
(x2 – 7)(x – 5)
(x2 – 7)(x + 5)
(x2 – 5)(x – 7)
(x2 + 5)(x – 7)
Answer:
Step-by-step explanation:
x^2(x - 7) - 5(x - 7)
(x^2 - 5)(x - 7)
Answer:
It’s C on ed 2021
Angle measures and segment lengths - find x do not round
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Five more than twice a number is less than one more six times the number.
Manny is reading a book. The book has 180 pages. On Sunday he read
1/3 of it. On Monday, he read 44 pages. How many pages does he have left to read?
Answer:
He has 76 pages left
....how do you solve this? 5 √6 ( 4 - √10 )
Answer:
10.29
Step-by-step explanation:
5 √6 ( 4 - √10 )
√6= 2.45
5x2.45=12.25
√10=3.16
4-3.16=0.84
12.25(0.84)=10.29
the circle shown below has chords XY XZ with XY =XZ. The measure of XY is 130 as shown. What is the measure of
. A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. An urban forest has 1,650 large and small trees. Together, these trees remove 1,818 kg of pollution each year. Which system of equations could be used to find the number of large and small trees in the forest?
Answer:
The system of equations are:
s + b = 1650.... Equation 1
0.04s + 1.5b = 1818........ Equation 2
The number of
Small trees = 450 trees
The number of Big trees = 1200 trees
Step-by-step explanation:
From the above question
Small trees = s
Large trees = b
An urban forest has 1,650 large and small trees.
Hence,
s + b = 1650.... Equation 1
s = 1650 -b
A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.
Hence:
0.04s + 1.5b = 1818........ Equation 2
We substitute 1650 - b for s
0.04(1650 - b) + 1.5b = 1818
66 - 0.04b + 1.5b = 1818
- 0.04b + 1.5b = 1818 - 66
1.46b = 1752
b = 1752 ÷ 1.46
b = 1200 trees
Solving for x
1650 - b = s
s = 1650 - 1200
s = 450 trees
8. You are building a word bank for math word problems. A synonym that may be
used in a word problem involving additions might be:
A) sum
B) product
Ο Ο Ο Ο
C) quotient.
D) difference
Emma has collected information about the cats and dogs that children in her class have as pets
there are 30 pupils total
find the number of children having both cats and dogs as pets
a.4
b.8
c.12
d.16
Answer:
c. 12
Step-by-step explanation:
the answer is c.12 due to the table
(8.4x10^3)-(6.4x10^2)
Write anserr in scientific notation