Step-by-step explanation:
[tex]\tt{10q-5q+q-q=10 }[/tex] ⠀
[tex]\tt{11q-6q=10 }[/tex] ⠀
[tex]\tt{ 5q=10 }[/tex] ⠀
[tex]\tt{ q=\dfrac{10}{5} }[/tex] ⠀
[tex]\tt{ q=2 }[/tex] ⠀
Step-by-step explanation:
10q-5q+q-q=105q=10q=10/5q=2The ratio of boys to girls in the school choir is 4:7. If there are 16 boys, how many girls are in the choir?
F 19
G 28
H 27
J32
The partial factorization of x2 – x – 12 is modeled with algebra tiles.
An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 1 tile is in the Factor 2 spot and is labeled + x. 20 tiles are in the Product spot: 1 is labeled + x squared, 3 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 12 tiles below the + x tiles are labeled negative.
Which unit tiles are needed to complete the factorization?
Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
of liters of water are enough to water of the plants in the house, how much water is necessary to water all the plants in the house? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.
Answer:
2/5 x ? = 4/3?
4/3 / 2/5= ?
Quick method is quick change flip, Change the division sign into multiplication and switch the values in the denominator and numerator of the second fractiom
4/3 x 5/2 = 20/6
simplify to 10/3
x or ? = 10/3
written as a mixed number is is 3 1/3
Step-by-step explanation:
Use the figure of triangles AABE and AFCG along with the information below to answer the following questions,
Given: AC = EG
Prove: AE = CG
B
D
A
C
E
G
Statement
Reason
1. AC = EG
2. CE = CE
2.
3. AC + CE = CE + EG 3
4. AC + CE = AE
4
CE + EG = CG
5. AE = CG
What is the reason for Statement 2?
Use the figure to answer the question.
OA.
Reflexive Property
B.
Addition Property of Equality
Ос.
Given
OD
Segment addition
Answer:
Answer attached
Step-by-step explanation:
i need help asap pls
A population of 752,000 people decreases at a rate of 1.4% each year. To the nearest whole number , what will be the population after 18 years?
Answer:
562496
Step-by-step explanation:
I think
Ms. Yost has 20 boxes of markers. She buys 420% more boxes. How many boxes will she have in all?
.
Answer:
84 boxes
Step-by-step explanation:
420% = 4.2
4.2 x 20 = 84
Can someone please help me?
Need help with this math question pls help me will mark brainiest btw
Answer:
Zero
Step-by-step explanation:
Answer:
Answer: C. Zero
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line shown in the image is horizontal, i.e. all of its points have the same y-coordinate regardless of their x-coordinate.
Take two random points on the line like (0,-2) and (2,-2), the slope is:
[tex]\displaystyle m=\frac{-2+2}{2-0}=0[/tex]
The slope is zero
Answer: C. Zero
The equation 4.05p+14.40=4.50(p+3) represents the number p of pounds of peanuts you need to make trail mix. How many pounds of peanuts do you need for the trail mix?
You need ____ pounds of peanuts for the trail mix.
Answer:
2
Step-by-step explanation:
4.05+14.40=4.50p+13.50
4.05p-4.5p=13.5-14.4
-0.45p=-0.9
p=2
i’m dvmb i’ll give brainliest
Answer:
b (-3,3)
Step-by-step explanation:
it's where the two lines intersect
hope this helps
HELP, WILL GIVE 100 POINTS
Which sum or product is rational? Choose all that apply.
A.
−12+3
B.
(7–√)(34)
C.
2.7 + 45
D.
(78)(9–√)
E.
4 + 5–√
Answer:
It's A trust me! :D
Step-by-step explanation:
Evaluate each expression if a = 3 , b = 5 and c=1 b-c
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
a = 3, b = 5, c = 1
b - c
Step 2: Evaluate
Substitute: 5 - 1Subtract: 4Tell whether (5,2) is a solution of x - y<0.
Answer: yes it is
Step-by-step explanation:
Factorise fully 6x² - 15x
Answer:
3x(2x - 5)
Step-by-step explanation:
because you have x² that means that you have to timse x by x to get x².
6 divided by 15 gets you a decimal but both number goes into the 3 times table
Therefor 6x² - 15x = 3x(2x-5)
If you need to check just times 2x by 3x which would get you 6x² and 5 by 3x which would get you 15x
Answer:
3x(2x-5)
Step-by-step explanation:
Diana buys a shirt for $14 plus and
pays 8% tax. Eddie buys pants for $25
plus and pays an 8% tax. Enter the
difference in the amount Diana and
Eddie paid, including the tax. Round
your answer to the nearest cent.
What is 8q+12=4(3+3q)
Answer:
q = 0
Step-by-step explanation:
8q + 12 = 4( 3 + 3q )
Distributive property
8q + 12 = 4 ( 3 + 3q )
8q + 12 = 12 + 12q
Inverse operations
8q + 12 = 12 + 12q
-8q -8q
12 = 12 + 4q
-12 -12
0 = q
q = 0
Answer:
Q = 0
Step-by-step explanation:
1. Expand.
8q + 12 = 12 + 12q
2.cancle 12 on both sides.
8q = 12q
3. Move all terms to one side.
8q - 12q = 0
4. simplify 8q - 12q to -4q.
-4q = 0
5. Divide both sides by -4.
q=0
therefor, the answer is q=0
what is the relationship between the number of sides in a polygon and the sum of the measures of the interior angles ?
4m − –3m − 17m − –m − –7m = 12
Step-by-step explanation:
[tex]\tt{ 4m-(-3m)-17m-(-m)-(-7m)=12 }[/tex] ⠀
[tex]\tt{ 4m+3m-17m+m+7m=12 }[/tex] ⠀
[tex]\tt{ 15m-17m=12 }[/tex] ⠀
[tex]\tt{ -2m=12 }[/tex] ⠀
[tex]\tt{ m=\dfrac{12}{-2}}[/tex] ⠀
[tex]\tt{m=-6 }[/tex]
[tex]4m−(−3m)−17m−(−m)−(−7m)=12\\\\\\4m+3m−17m+m+7m=12\\\\\\15m−17m=12\\\\\\−2m=12\\\\\\m=\dfrac{12}{-2}\\\\\\\bold{\green{m=-6} }[/tex]
PLEASE HELP!!!
What is the y-intercept of the line shown?
A coordinate plane is shown. A line passes through the y-axis at -1 and through the point 1 comma 2.
−1
0
0.5
1
Answer:
passes through y = 1 !!!!!!!!!
-1 would be your answer.
Hope this helped!
5a. Find the value of x. Round to the nearest tenth (1 decimal place).
у
45°
.X
5
Your answer
Answer:
45
Step-by-step explanation:
The little square at the bottom of the triangle is a 90 degree angle so add 90+45=135 and if the whole triangle equals 180 so you would do 180-135=45
Julio's father is 4 times as old as Julio.
In 10 years, he will be 2 less than Julio's age
times 3. How old are Julio and his father?
Answer:
240
Step-by-step explanation:
Choose the graph of the solution to this inequality - 6x < 21
Answer:
d
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
the weight of a small bag of raisins of 3.0 times the weight of a large bag. The large bag weight 8.0 of a pound. what is the weight of the small bag? solve this problem any way you choose.
I just want the answer
Answer:
4/15
Step-by-step explanation:
solve for m
-3/7m=12
A: M= -28
B: M= -26
C: M= 26
D: M= 28
Answer:
A
Step-by-step explanation:
Answer:
-3/7m=12
-3m/7=12 multiplying by 12 on both sides
-3m=12x7
-3m=84
divide by -3
-3m/-3= 84/-3
m= -28
Ans is A
Question 18
Incorrect
2 tries left. Please try again.
Nicholas broke his leg and has to wear a cast for a set number of days. Nicholas has been wearing the cast for 45 days, or 90% of the required
time. How many total days does Nicholas have to wear the cast?
days
Need help with this question?
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O
Answer:
50%
Step-by-step explanation:
Oliver's plane landed at the airport at 8:00 at night. The plane ride was 9 hours and 39 minutes,
What time did the airplane leave? Move numbers to the clock to show the time,
Answer:
10:21 in the morning
Step-by-step explanation:
8:00-8 hrs=12:00
12:00-1 hr and 39 min = 10:21
Answer: r u serious???????? it’s easy just uhh 11:21
Step-by-step explanation: i did it in my head
6x + 2 - 8x + 7 = 4x + 1 A. 4/3 B. 3/4 C. -4/3 D. -3/4 oc A D B
Answer:
A
Step-by-step explanation:
Given
6x + 2 - 8x + 7 = 4x + 1 ← simplify left side
9 - 2x = 4x + 1 ( subtract 4x from both sides )
9 - 6x = 1 ( subtract 9 from both sides )
- 6x = - 8 ( divide both sides by - 6 )
x = [tex]\frac{-8}{-6}[/tex] = [tex]\frac{4}{3}[/tex] → A
HURRY PLEASE
Place the formula components in order of precedence from highest to lowest.
exponents
parentheses
addition/subtraction
multiplication/division
Answer:
parentheses
exponents
multiplication/division
addition/subtraction
Step-by-step explanation:
PEMDAS
Answer:
1. parentheses
2. exponents
3. multiplacation/division
4. addition/subtraction
Step-by-step explanation:
hope this helps :)
Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll shirt requires 2/7 of a yard of fabric. How many whole shirts can she make for her dolls?
Answer:
She can make three shirts and will have 7/56 left.
Step-by-step explanation:
49/56-14/56=35/56 (one shirt) 35/56-14/56=21/56 (two shirts) 21/56-14/56=7/56 (three shirts)