The right presentation of the question is:
(a) Write 32 + 24 as a product of the two factors using the GCF and the distributive property.
(b) Write 32 + 23 as a product of the two factors using the GCF and the distributive property.
Answer:
[tex](a)\ 32 + 24 = 8*7[/tex]
[tex](b)\ 32 + 23 = 5*11[/tex]
Step-by-step explanation:
Solving (a):
First, we take the GCF of 32 and 24
[tex]32 = 2 * 2 * 2 * 2 * 2[/tex]
[tex]24 = 2 * 2 * 2 * 3[/tex]
Take common factors:
[tex]GCF = 2 * 2 * 2[/tex]
[tex]GCF = 8[/tex]
So, we factorize 32 and 24 using 8.
The expression becomes:
[tex]32 + 24 = 8(4 + 3)[/tex]
Simplify the expression in bracket
[tex]32 + 24 = 8(7)[/tex]
Remove bracket
[tex]32 + 24 = 8*7[/tex]
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Solving (b):
[tex]32 + 23 =[/tex]
32 and 23 do not have a common factor, so we have to start by writing 32 as 30 + 2
[tex]32 + 23 = 30 + 2 + 23[/tex]
Add 2 to 23
[tex]32 + 23 = 30 + 25[/tex]
Take the GCF of 30 and 25
[tex]30 = 2 * 3 * 5[/tex]
[tex]25 = 5 * 5[/tex]
Take common factors:
[tex]GCF = 5[/tex]
So, we factorize 30 and 25 using 5.
[tex]32 + 23 = 5(6 + 5)[/tex]
Simplify the expression in bracket
[tex]32 + 23 = 5(11)[/tex]
Remove bracket
[tex]32 + 23 = 5*11[/tex]
Hello if you can please help me with this i will make you brainlliest.?
Write the answer in simplest form.
1 5/6×2 3/8=
Answer:
209/48 or mixed number 4 [tex]\frac{17} \frac{48}[/tex]
Step-by-step explanation:
The expression 42 plus 57 shows how much money Nate spent at a store. Which expression also shows how much money Nate spent?
A $900 sound system decreases in value by 996
each year . What will the value at 3 years
Answer:
947
Step-by-step explanation:
subtrac 6 from 3 then add what you get back to the number then subtract what you get 3x
I need to figure out how to solve this and the answer
Answer:
C=13
Step-by-step explanation:
Ok, so those to angles are going to equal 90*.
First, you wan to setup your equation,
(2c-4) + (5c+3) = 90
now you want to add the angles
7c -1 = 90
isolate the variable .
Add 1 to both sides
7c=91
Now divide 7 from both sides
c=13.
To check our work we will plug in for C.
2(13)-4 + 5(13)+3=90
26 - 4 + 65 + 3=90
90=90
What is the exact and approximate area of a circle with a diameter of 6 feet? For the approximate area, round your answer to the nearest tenths place.
Answer:
C = pi * d calculates the circumference (distance around the outside of the circle). D in the formula refers to the diameter which is the width of the circle. The formula for the area of a circle is A = pi * r * r where r is the radius (diameter / 2).
Step-by-step explanation
hopefully this helps
how far can you run in 5/7 of a hour if you run at a speed of 8 2/5 miles per hour
Answer:
6 miles
Step-by-step explanation:
At a speed of 8 2/5 miles per hour, you can run a distance of 6 miles
How to find distanceSpeed = 8 2/5 miles per hourTime taken = 5/7 of a hourDistance = xSpeed = distance / time taken
8 2/5 = x ÷ 5/7
42/5 = x ÷ 5/7
cross product
42/5 × 5/7 = x
x = (42×5) / (5×7)
= 210/35
= 6 miles
Therefore, you can run a distance of 6 miles at a speed of 8 2/5 miles per hour
Learn more about speed:
https://brainly.com/question/4931057
A parabola-shaped hill can be modeled by equation
y=-2(x - 3)2 +6, where x and y are measured in
kilometers.
How wide is the bottom of the hill? Assume the r -axis is
ground level. Round to the nearest tenths.
kilometers
Answer:3.46 km
Step-by-step explanation:
Given
shape of hill [tex]y=-2(x-3)^2+6[/tex]
at the bottom y=0 i.e.
[tex]0=-2(x-3)^2+6\\(x-3)^2=3\\x-3=\pm\sqrt{3}\\x=3\pm\sqrt{3}[/tex]
width of the bottom
[tex]3+\sqrt{3}-[3-\sqrt{3}]=2\sqrt{3}\ km\ or\ 3.46\ km[/tex]
Solve for x; -6 = –6(3x —8)
Answer:
x = 3
Step-by-step explanation:
Due asap
Show workings
Answer:
Side TV = 16
Step-by-step explanation:
WX is half the value of TV
to solve we have to set up an equation
21-5x=10x-2
because side WX is only have of side TV we have to multiple its side by 2 so now we have
21-5x=20x-4
step 1 add 4 to each side
25-5x=20x
step 2 add 5x to each side
25=25x
step 3 divide each side by 25
x=1
then we plug in x as 1 for side TV and get
21-5 which is equal to 16
Im stuck on this problem. Will give 20pts to whoever answers it!
Answer:
a ≈ 13.1
c ≈ 13.8
Step-by-step explanation:
set up proportions based on corresponding sides:
17 = 13
a 10
13a = 170
a ≈ 13.1
18 = c
17 13
17c = 234
c ≈ 13.8
9 pencils cost 2.43. what is the unit rate for one pencil
Answer:
2.43/9
Step-by-step explanation:
2.43/9 i leave u to calculate
Casey buys a bracket for. She pays for the bracelet and pays $0.72 in sales tax. The sales tax is 6%. What is the Original price for the bracelet, before tax
Answer:
$12
Step-by-step explanation:
amount of tax = $0.72
percent of tax= 6%
Let the original cost be x
so that
6% of x= 0.72
solve for x
6/100*x= 0.72
0.06x= 0.72
divide both sides by 0.06
x= 0.72/0.06
x=$12
Hence the cost is $12
can you guys help with 1-3
Answer:
1. y = 1/3x - 1
2. y = 2/5x
3. y = x + 8
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + c
where m is the slope and c is the y-intercept
So, we have the following based on the supplied values;
1. y = 1/3x - 1
2. y = 2/5x
3. y = x + 8
Use the distributive property to write an equivalent expression
10(6r + 7)
Answer:
60r+70
Step-by-step explanation:
10(6r+7)
(6r*10)+(7*10)
60r+70
R is equivalent to 1.1666...
Answer:
60r+70
Step-by-step explanation:
Becky, Ray, and Celeste split a $12.84 pizza bill evenly. Which expression represents
how much each person paid in dollars?
O 12.84 - 2
O 12.84 -3
O 12.84 +2
O 12.84 +3
Angle A and angle B are supplementary and vertical angles. What is m B?
Answer:
it’s 90 because there equal add both up to 180
Answer:
I think its 90 but don't trust me im literally failing all my classes
If the function f is defined by f(x) = In(logx), what is f(0.1)?
Answer:
f(0.1) = [tex]i \pi[/tex]
Step-by-step explanation:
Plug x = 0.1.
Therefore f(0.1) = ln (log (0.1)).
0.1 = 10^(-1), and by the definition of log, log 0.1 = -1.
Now f(0.1) = ln (-1).
By Euler's identity, e^(i pi) = -1.
So ln (-1) would be i pi.
f(0.1) = [tex]i \pi[/tex]
-98 = 7t
What does t equal
Answer:
t = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-98 = 7t
Step 2: Solve for t
Divide 7 on both sides: -14 = tRewrite: t = -14Step 3: Check
Plug in t into the original equation to verify it's a solution.
Substitute in t: -98 = 7(-14)Multiply: -98 = -98Here we see that -98 is equal to -98.
∴ t = -14 is the solution to the equation.
t = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality
Step-by-step explanation:
Step 1: Define
-98 = 7t
Step 2: Solve for t
Divide 7 on both sides: -14 = t
Rewrite: t = -14
Step 3: Check
Plug in t into the original equation to verify it's a solution.
Substitute in t: -98 = 7(-14)
Multiply: -98 = -98
Here we see that -98 is equal to -98.
∴ t = -14 is the solution to the equation.
What is the answer to 7+ 4y = 39
Answer:
8
Step-by-step explanation:
simple math simplemath
Answer:
y=8
Step-by-step explanation:
im smart
please help, would be appreciated!!
Answer:
x=21.6 degrees
Step-by-step explanation:
sin=opposite/hypotenuse
x=sin(3/8)=21.5558896=21.6
3 to the power of -6
Answer:
0.00137174211 :,)
Step-by-step explanation:
Answer: 3^-6
Hope it helped u,
pls mark as the brainliest
^_^
Shawn bought $45.00 worth of pencils from Office Max. If the sales tax is 4%, what was the amount of tax she had to pay?
Answer:
$46.8
Step-by-step explanation:
45x.04=1.8
45+1.8= 46.8
What is 3893478437+ 4873
Answer:
The correct answer is 3893483310
Step-by-step explanation:
HAVE A GOOD DAY!
When Carmen sells a house, she receives 6% of the sales price of the house as commission. What will be her commission if she sells a house for $150,000? *
Answer:
100 + 6 = 106
150000/100 X 106 = 159000
159000 - 150000 = 9000
commission = $9000
Please helppppppppppp
Answer:
d) 20
Step-by-step explanation:
To find possible side lengths use the triangle inequality theorem. The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. So for the measurements 6, 11, 20 to make a triangle 6+11 must equal at least 20, which isn't true. Therefore, 20 cannot be a measurement for this triangle.
=
39 newspapers in 3 piles
newspapers per pile
Answer:
there are 13 newspapers per pile
Step-by-step explanation:
to find newspapers per pile we divide 39/ 3
39/3= 13
Helpppppp
Show workings
Answer:
C
Step-by-step explanation:
So this one is pretty much like the last one
the distance on the x values is 6 and the distance on the y values is 4
1/6 of 6 is 1 and 1/6 of 4 is .66
We subtract the coordinates from R
4-1 is 3
2 -.66 =1.33
The 1/6 point is at (-3,1.33)
Is this right or no caused I just wanna make sure
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Work Shown:
2x+3y = 18
3y = 18-2x ..... subtract 2x from both sides
3y = -2x+18
y = (-2x+18)/3 .... divide both sides by 3
y = (-2x)/3 + 18/3
y = (-2/3)x + 6
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As a quick shortcut, anything in the form Ax+By = C will convert to y = (-A/B)x+(C/B) when you solve for y.
The slope is -A/B and the y intercept is C/B
Which expression is equivalent to 12x – 20 – 5(x – 3)
What is the midline equation of the function h(x)=-3\cos(\pi x+2)-6h(x)=−3cos(πx+2)−6h, left parenthesis, x, right parenthesis, equals, minus, 3, cosine, left parenthesis, pi, x, plus, 2, right parenthesis, minus, 6?
Ans23.0
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
