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]
Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?
Step-by-step explanation:
48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.
Divide 48 by 300 to get what she would pick in one second.
This equals 0.16
Multiply 0.16 by 120 seconds [how many seconds are in two minutes].
This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.
what is x? plz help :)
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
what is 20 divided by 10 but to the power or 2
- The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank charges an annual fee of $17 plus $2.50 per game rented.
Write an equation in y=mx+b form describing the total cost to rent x games at each store.
Fun Guys:
Game Bank:
given right triangle abc and sin A= 1/2, cos A = √3/2
Answer:
true
Step-by-step explanation:
sinA² + cosA²=1
⇔(1/2)² + cosA²=1
⇔cosA=±(√3/2)
Yes, the triangle is a right triangle.
What is a right triangle?A triangle is called a right triangle if it has an angle measuring 90°.
Given that in a triangle if Sin A = 1/2 and Cos A = √3/2, then the triangle is a right triangle,
So,
Sin A = 1/2
Sin A = Sin 60°
A = 60°
Also, we know that the sine and cosine of an angle is complementary,
So,
Sin A = Cos (90-A)
Therefore, Cos(90-30)° = Cos 30° = √3/2
Therefore, ABC is a right triangle.
Hence the triangle is a right triangle.
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What is the measure of E in degrees?
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x
Find the product of 0.75 x 2.1
Answer:
1.575
Step-by-step explanation:
0.75 x 2.1 = 1.575
Hope that helps!
Answer:
1.575
Step-by-step explanation:
I'm honestly sorry that I'm asking so many questions.
Solve for X in the Diagram.
Answer:
[tex]\Huge\boxed{x=8}[/tex]
Step-by-step explanation:
Hello There!
Remember the sum of all of the angles in a triangle is 180
so we can use this equation to solve for x
180 = 50 + 60 + 8x + 6
now we solve for x
step 1 combine like terms
50 + 60 + 6 = 116
now we have
180=8x+116
step 2 subtract 116 from each side
116 - 116 cancels out
180 - 116 = 64
now we have
8x = 64
step 3 divide each side by 8
8x/8=x
64/8=8
we're left with x = 8
I NEED HELP ASAP!!!
Chose one answer form the picture below.
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I am not so sure tho it's either b or d
If triangle ABC triangle EDF , what is the perimeter of triangle EDF ?
Answer:
I'm guessing 25.
Step-by-step explanation:
i don't know the relation between those two triangles, but they look like they're congruent so the side lengths would be the same and 3+12+10=25
An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?
Answer:
66°
Step-by-step explanation:
Given that :
Right angle measure of a triangle are used in a design :
A right angles triangle has one of its angle equals 90 ;a
Since the second angle is given as 24 ; b
The measure of the third angle ; c will be :
Sum of angles in a triangle = 180
(a + b + c) = 180
(90 + 24 + c) = 180
c = 180 - 114
c = 66°
what is the price of 6000 brick if the price of 1000 brick is rs 3500 pls give me properly ans
Answer:
Step-by-step explanation:
Price of 1000 bricks = Rs. 3500
Price of 1 brick = 3500 / 1000
= Rs. 3.5
Price of 6000 bricks = Rs. 3.5 * 6000
= Rs. 21000
Hope it will help :)
Step-by-step explanation:
let the bricks be x
Bricks
6000 x
1000 3500
3500×6000=1000×x
21000000/1000=X
21000 Answer
Mary spent $45 at the mall. She bought lunch for $9 . She bought 3 shirts at x dollars
each. Which of the following equations could be used to find x ?
Answer:
3x + 9 = 45
Step-by-step explanation:
3 shirts at x dollars each cost 3x
lunch costs 9
altogether she spent 3x + 9
she spent 45
3x + 9 = 45
Help me it due 30 minutes
Estimate each product
1/5x22
Answer:
I say its 4.4
Step-by-step explanation:
This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w.
d ≥ 36
w < 68
d ≤ 4 + 2w
Which statements must be true about their heights? Select three options.
Darius is at least 36 inches tall.
Darius is at most 36 inches tall.
William’s height is less than 68 inches.
William’s height is at least 68 inches.
Darius is less than 4 inches taller than twice William’s height.
Darius is no more than 4 inches taller than twice William’s height.
(A) Darius is at least 36 inches tall.
(C) William’s height is less than 68 inches.
(F) Darius is no more than 4 inches taller than twice William’s height.
Step-by-step explanation:
edge2022
The inequality w < 68 can be written as William’s height is less than 68 inches.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.
Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')
Here, d ≥ 36
Darius is at least 36 inches tall.
w < 68
William’s height is less than 68 inches.
d ≤ 4 + 2w
Darius is no more than 4 inches taller than twice William’s height.
Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.
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PLZ HELP ME LOL
A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning
¿Cuál es el valor absoluto de 9?
how do i find the x and y intercepts of x+y-5=0
Answer:
To find x intercept. Substitute y=0 in the given equation, and solve for x . x−0=5. x=5. Therefore, x intercept =(5,0)
To find y intercept. Substitute x=0 in the given equation, and solve for y . 0−y=5. y=−5. Therefore, y intercept =(0,−5)
Step-by-step explanation:
Answer:
y intercept = -5
x intercept cordinate= (5,0)
Step-by-step explanation:
Identify the error in the student solution shown below. Find the correct answer
Answer:
question please can't see any question
how to solve 5x+20=5
Answer:
x= -3
Step-by-step explanation:
if u want explain let me know
Answer:
x = -3
Step-by-step explanation:
5x + 20 = 5
Subtract 20 from both sides
5x + 20 - 20 = 5 -20
{If two numbers have different sign, subtract and the result will have the sign of the bigger number. 20 -5 = 15, bigger number is 20, so -15}
5x = - 15
Divide both sides by 5
5x/5 = -15/5
x = - 3
What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
This line is a horizontal line [HOY] - horizontal, 0 slope, and the equation starts with y = ___ , since it crosses at -7, then the line is y = -7
Gavin is 5 years older than David. Bridget is 4 years younger than David. If the total of their ages is 61, how old is the youngest of them?
Answer:
I belive the awnser is 16
Step-by-step explanation:
You are planning a flower garden consisting of three square plots surrounded by a 1-ft border. The total area of the garden is 150 ft^2. What is the side length x of each plot
Answer:
56
Step-by-step explanation:
56 is the answer
Find the area of the following
parallelogram:
5 cm
8 cm
7.5 cm
A= [?] cm?
Enter the exact answer as a decimal.
Answer:
37.5
Step-by-step explanation:
Question 1 of 5 A home has an original value of $249,000. Each year, the value of the home decreases by 7.1%. Select the equation that models the situation after t years. V = 249,000(1.071)t V = 249,000(0.929)t V = 249,000(0.071)t V = 249,000(0.29)t
Answer:
V = 249,000(0.929)^t
Step-by-step explanation:
100% - 7.1% = 92.9% = 0.929
0.929 must be raised to t, the number of years.
V = 249,000(0.929)^t
PLEASE PLEASE ANSWER THIS WILL GIVE BRAINLY
Write the following expression using symbolic language.
1) Five less than the product of seven and a number x
2) The difference of nine times a number y and eighteen
3) Half a number n increased by four times the number
4) Twice the sum of a number w cubed and twenty-three
Answer:
1) 7+x-5
2)9y-18
3)(n/2)(4n)
2(w^3+23)
Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1). What are the coordinates of point S'? (2, 1) (1, –2) (–1, –2) (2, –1)
Answer:
(-2,-1)
Step-by-step explanation:
Given
[tex]Q =(-4,1)[/tex]
[tex]R = (-4,4)[/tex]
[tex]S = (2,1)[/tex]
180 degrees rotation
Required
Determine the coordinate point S'
For a 180-degree rotation, the transformation rule is: (x, y) to (-x, -y)
So:
[tex]S = (2,1)[/tex] ==> [tex]S' = (-2,-1)[/tex]
Hence, the coordinate point of S' is (-2,-1)
Answer:
1,-2 did it right
Step-by-step explanation:
i need help asap, i need the answer!!!
Answer:
33/100
Step-by-step explanation:
3/10 × 10 = 33/100
Answer: 30 correct me if I'm wrong
Step-by-step explanation:
how do you graph x≤−5 on a number line??
Answer:
Step-by-step explanation:
x ≤ −5 means that x is less than or equal to -5, which means that -5 is a close circle.