[tex]\bf Step-by-step~explanation:[/tex]
If we were to solve for a, we will need to isolate the variable.
[tex]\bf Step~1:[/tex]
Add the like terms on the right side of the equation together.
[tex]\bf 8=a+3+4\\8=a+7[/tex]
[tex]\bf Step~2:[/tex]
Subtract 7 from both sides to move 7 to the other side.
[tex]\bf 8(-7)=a+7(-7)\\1=a[/tex]
[tex]\bf Step~3:[/tex]
Rewrite the equation so that the variable is at the beginning. This is the format most teachers prefer.
[tex]\bf 1=a\\a=1[/tex]
[tex]\large\boxed{\bf Our~final~answer:~a=1}[/tex]
Pls help me out and follow the steps
Answer:
4w + 3 = 2w + 7
-[2w] -2w
-----------------------
2w + 3 = 7
-3 -[3]
----------------------
2w = [4]
2w = 4
---- ----
2 [2]
w = [2]
57 toys are split into groups of 4 toys. What question do we need to answer here? please don't give wrong answers this test is already missing so plssss help!
Answer:
There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys
Step-by-step explanation:
57 toys divided into groups of 4 toys.
57/4= 14.25 or 14 1/4 GROUPs
Xian and his cousin Kai both collect stamps. Xian has 52 stamps, and Kai has 72 stamps. The boys recently
joined different stamp-collecting clubs. Xian's club will send him 12 new stamps per month. Kai's club will
send him 8 new stamps per month. After how many months will Xian and Kai have the same number of
stamps? How many stamps will each have?
After
months Xian and his cousin will have
stamps each.
Answer:
Step-by-step explanation:
Let the x be the number of months.
In x months, xian will have:
(52+16x) stamps
and kai will have:
(76+12x)stamps
To find out how many months they will have the same number of stamps, we evaluate the two expressions:
52+16x=76+12x
52+4x=76
4x=24
x=6
So xian and kai will have the same number of stamps after 6 months.
Using either of two expressions, each will have:
52+16(6)=76+12(6)= 148 stamps.
Would appreciate if you could give brainiest have a great day
Answer:
6 months
Step-by-step explanation:
56+ 12x = 80 + 8x
Marlene brought a pitcher filled with 10 cups of water to her volleyball game. The paper cups she brought hold Two-thirds of a cup of water each. How many paper cups can Marlene fill with water?
Which math sentence represents the problem?
Two-thirds divided by 10 = 20/30=1/15
10 divided by two-thirds = 30/2=15
10 divided by three-halves = 20/3] 6 and two-thirds
1/10 divided by two-thirds = 3/20
Marlene needs 15 paper cups to fill with water
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Since each paper cups can hold Two-thirds of a cup of water, hence to hold 10 cups of water:
Number of water cups = 10 cups / (two- thirds) = 10 * 3 / 2 = 15
Marlene needs 15 paper cups to fill with water.
Find out more on equation at: https://brainly.com/question/2972832
Answer: The answer is B
Step-by-step explanation: got it right on e2020
Factorize completely
- 3a² + 4a + 4
what is 91,007,500 in scientific notation?
Answer:
Step-by-step explanation:
the scientific notation of 91,007,500
9.10075 x 10^7
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B = C → A = C - B
→ B = C - A
Use the Double Angle Identity: cos 2A = 2 cos² A - 1
→ (cos 2A + 1)/2 = cos² A
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · 2 cos [(A - B)/2]
Use Even/Odd Identity: cos (-A) = cos (A)
Proof LHS → RHS:
LHS: cos² A + cos² B + cos² C
[tex]\text{Double Angle:}\qquad \dfrac{\cos 2A+1}{2}+\dfrac{\cos 2B+1}{2}+\cos^2 C\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg(2+\cos 2A+\cos 2B\bigg)+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\dfrac{1}{2}\bigg(\cos 2A+\cos 2B\bigg)+\cos^2 C[/tex]
[tex]\text{Sum to Product:}\quad 1+\dfrac{1}{2}\bigg[2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A-2B}{2}\bigg)\bigg]+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\cos (A+B)\cdot \cos (A-B)+\cos^2 C[/tex]
[tex]\text{Given:}\qquad \qquad 1+\cos C\cdot \cos (A-B)+\cos^2C[/tex]
[tex]\text{Factor:}\qquad \qquad 1+\cos C[\cos (A-B)+\cos C][/tex]
[tex]\text{Sum to Product:}\quad 1+\cos C\bigg[2\cos \bigg(\dfrac{A-B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+(C-B)}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-(C-A)}{2}\bigg)[/tex]
[tex]\text{Given:}\qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+A}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-B}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1+2\cos C \cdot \cos A\cdot \cos (-B)[/tex]
[tex]\text{Even/Odd:}\qquad \qquad 1+2\cos C \cdot \cos A\cdot \cos B\\\\\\.\qquad \qquad \qquad \quad =1+2\cos A \cdot \cos B\cdot \cos C[/tex]
LHS = RHS: 1 + 2 cos A · cos B · cos C = 1 + 2 cos A · cos B · cos C [tex]\checkmark[/tex]
Find the midpoint of the segment with the given endpoints
(- 4.7) and (-1,-1)
The midpoint is?
-12=x-1 Please help need help
Answer:
x = -11
Step-by-step explanation:
-12 = x - 1
-12 + 1 = x
x = -11
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]
[tex] \tt{Step \: 3}[/tex] : Calculate
Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]
The value of x = 11
Hope I helped!
Best regards! :D
~TheAnimeGirl
Find the midpoint between (-1, -1) and (-9,6).?
Answer:
(-5,-3.5) is the midpoint
Step-by-step explanation:
See photo for the step-by-step explanation
Answer:
(4, -3.5)
Step-by-step explanation:
What property is m+7=7+m
Answer:
Commutative propertyStep-by-step explanation:
The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.
Please help me!! What is the value of???
-4×3
12÷(-6)???
Answer:
-4x3=12
12÷-6=-2
hope this helps
Simplify this expression.
6m4 n4
12m
Answer:
18m+n4
Step-by-step explanation:
i think.
Answer: girly im not gonna lie im no mathematician but i came up with 18m 8n i sowy if it's wrong but, you can't blame a girl from trying .
Step-by-step explanation: i combined like terms but im probably still wrong just saying .
Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
The parabola opens downwards since a=____ and this value is _____ 0.
The choices for the second blank question are:
-less than
-greater than
-equal to
g(x) = -(x + 1)^2 - 3
Let's simplify this equation
g(x) = -(x^2 + 2x + 1) - 3
Distribute the negative sign
g(x) = -x^2 - 2x + 1 - 3
Combine like terms
g(x) = -x^2 - 2x - 2
The value of a = -2 and this value is LESS THAN 0
A truck enters a highway at 60 mph. A car enters the highway at the same place 11 minutes later and drives 74 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?
Answer:
3/20
Step-by-step explanation:
What is the angle of x?
Answer:
Step-by-step explanation:
There are 540 degrees in a pentagon so take 540-(everything there)= 67
Mandy has a piece of ribbon measuring 3.2 m and Cheryl has a piece of ribbon measuring 4.7 m select the point on this number line that represents the ribbon lengths
Answer:
3.2
Step-by-step explanation:
3.2/1
A queen ant lays 1.83 x 10^6 eggs over a period of 30 days. Assuming she lays the same number of eggs each day, about how many eggs does she lay in one day? Express your answer in scientific notation.
Which is the value of 3b² — b when b = 5?
Answer:
The answer is
70Step-by-step explanation:
3b² - b
when b = 5
Substitute the value of b that's 5 into the expression
That's
3(5)² - 5
= 3(25) - 5
= 75 - 5
We have the final answer as
70Hope this helps you
PLEASE HELP ALGEBRA 2!!!
Step-by-step explanation:
-4.5x -2y = -12.5 -------(1)
3.25x -y = -0.75 --------(2)
From (2) we can make y the subject of the relation
y = 0.75+3.25x -------(3)
Input 0.75+3.25x into y in (1)
-4.5x -2(0.75+3.25x) = -12.5
-4.5x -1.5- 6.5x = -12.5
-4.5x -6.5x -1.5 = -12.5
-11x = -12.5 +1.5
-11x = -11
x = 11/11
x = 1
If x = 1,substitute 1 into x in (3)
y = 0.75+3.25x
y = 0.75 +3.25(1)
y = 0.75 +3.25
y = 4
x = 1,y = 4
Point A is located at (−5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A'. Which measurement is closest to the distance between point A and point A' in units?
Answer:C) 4.5 units
Step-by-step explanation:
If 3.x - 7 = 5, then 2x – 1=?
Answer: -2
Step-by-step explanation:
Write a linear function given in the table below. Use function notation.
First, let's choose two points from the table to solve for our slope.
(0, -1) and (1, 4)
Slope = (4 -(-1)) / (1 - 0) = 5/1 = 5
The slope of our line is equal to 5
So far we have y = 5x + b
To solve for be, we need to plug one of our points into the equation.
-1 = 5(0) + b
Simplify
-1 = b
So, our equation: y = 5x -1
if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(x^2 + 2x - 4)
3(x^2 + 2x - 4) + 1
3x^2 + 6x - 12 + 1
3x^2 + 6x - 11
a group of 4 students needs to share 20 paper clips equally. how many paper clip does each students get
Answer:
5 paper clips each
Step-by-step explanation:
20/4 = 5
Answer:
They each get 5
Step-by-step explanation:
What is the domain of the function shown on the graph?
A. -10 < x < 2
B. x ≤ 1
C. -∞ < x < ∞
D. x ≤ 2
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values can be any number. Therefore, we have all real numbers as our domain:
(-∞, ∞) or -∞ < x < ∞
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Plato
find the zero of the function h(x) = 4x+2
Answer:
[tex]x=-1/2=-0.5[/tex]
Step-by-step explanation:
So we have the function:
[tex]h(x)=4x+2[/tex]
To find the zero(s) of a function, set the function equal to 0 and solve for x. So:
[tex]0=4x+2[/tex]
Subtract 2 from both sides:
[tex]-2=4x[/tex]
Divide both sides by 4:
[tex]x=-1/2=-0.5[/tex]
So, the zero of the function is -0.5.
This means that the graph (a line) crosses the x-axis at (-0.5, 0).
Use the ALEKS calculator to find 48% of 70. Do not round your answer.
Answer:
its 28
Step-by-step explanation:
hope this helps also u have to divide 70 divided by 48% in order to get 28
When dividing two numbers with the same base
Answer:
you subtract the exponents
x-7/4 =-2 I need helpp
Answer:
x = -1
Step-by-step explanation:
x-7/4=-2
x-7=-8
x=-1