Answer:
B. 5(x + 1) - 3x = 5 - 2(5 - x)
Step-by-step explanation:
A. x - 5(x - 4) = 2(2x + 7) + 6 Distribute -5 into parentheses
x - 5x + 20 = 2(2x +7) + 6 Distribute 2 into parentheses
x - 5x + 20 = 4x +14 + 6 Combine like terms (I underlined it to show)
-4x + 20 = 4x + 20
+4x +4x Do Inverse operations
20 = 8x + 20
-20 - 20 Do inverse operations
0 = 8x
[tex]\frac{0}{8}[/tex] = [tex]\frac{8x}{8}[/tex] Divide by 8 on both sides to isolate the variable.
0 = x
Solution is x = 0.
B. 5(x + 1) - 3x = 5 - 2(5 - x) Distribute 5 into parentheses
5x + 5 - 3x = 5 - 2(5 - x) Distribute -2 into parentheses
5x + 5 - 3x = 5 - 10 + 2x Combine Like terms (I underlined the like terms)
2x + 5 = -5 + 2x
+ 5 +5 Do inverse operations
2x + 10 = 2x
-2x -2x Do inverse operations
10 ≠ 0
No solution
C. 1 - 3(x+3) = 2(3x - 4) - 9x Distribute -3 into parentheses
1 - 3x - 9 = 2(3x - 4) - 9x Distribute 2 into parentheses
1 - 3x - 9 = 6x - 8 - 9x Combine Like terms (I underlined the like terms)
- 8 - 3x = -3x - 8
+ 3x +3x Do inverse operations
- 8 = - 8
Solution = All real numbers
D. 3(x - 4) + x = 4(3 - x) Distribute 3 into parentheses
3x - 12 + x = 4(3 - x) Distribute 4 into parentheses
3x - 12 + x = 12 - 4x Combine Like terms (I underlined the like terms)
4x - 12 = 12 - 4x
+4x + 4x Do inverse operations
8x - 12 = 12
+ 12 +12 Do inverse operations
8x = 24
[tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex] Divide by 8 on both sides to isolate the variable
x = 3
Solution is x = 3 .
So the only equation that has no solution is B. 5(x + 1) - 3x = 5 - 2(5 - x).
The width of a rectangle is 8 cm less than its length. The diagonal of the rectangle is 12 cm.
Determine the dimensions of the rectangle. (4 marks)
-4x > 500...........................................
The graph of f(x) = |x| is reflected across the x-axis and translated to the right 6 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
Answer:
The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
Step-by-step explanation:
The domain is of the parent function is [tex]\text{D: }(-\infty, \infty)[/tex] and the range is [tex]\text{R: }[0,\infty)[/tex]. The reflection over the x-axis and translation does not change the domain. However, the transformed function's range is [tex]\text{R: }(-\infty,0][/tex]. Therefore, the domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
Answer:
D- The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
Step-by-step explanation:
Got it right
Determine the sample space of all of the possible outcomes of choosing a card numbered 1,
2,3 or 4 and a blue, green, or yellow marble. How many outcomes involve choosing a blue
marble?
Answer:
1/3
Step-by-step explanation:
sample space includes 12 outcomes:
blue, green, yellow for 1, 2, 3, and 4
P(blue) = 4/12 or 1/3
please help! i’ll mark you brainlist if it’s correct. it’s probably easy but i’m terrible at math
Answer: c
Step-by-step explanation:
A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.The company wants to use the package that has the least amount of wasted space. The company should choose
Answer:
The Company should choose to get the cylinder packages ( V = 42.39 in³ )
Step-by-step explanation:
The volume of a cylinder of radius of circumference 1.5 in and h = 1.5*4
h = 6 in is:
V(c) = π *r²*h = π * (1.5)²*6 = π *2.25*6
V(c) = 42.39 in³
Now V(p) = Square of the base ( of side 3 in) * h
h = 6 in
V(p) = (3)²*6
V(p) = 54 in³
If we compare these two volumes we see that the volume of the cylinder is small than that of the square prism
Determine the equation of the circle graphed below.
Answer:
Step-by-step explanation:
the formula for a circle not on the origin is :
(x−h)^2+(y−k)^2=r^2
for the circle shown it looks like the circle is centered at (1,3)
then h=1 and k=3 and the radius looks to be about 2
(x−1)^2+(y−3)^2=2^2
(x−1)^2+(y−3)^2=4
there is your equation for that circle shown in the graph
what is (x^3-4x+6)÷(x-2)?
please helppp :)
Answer:
Step-by-step explanation:
[tex]x^{2}[/tex]+2x+8
x-2 √ [tex]x^{3}[/tex] +0[tex]x^{2}[/tex] -4x +6
-( [tex]x^{3}[/tex] -2[tex]x^{2}[/tex])
0 +2[tex]x^{2}[/tex]
-( 2[tex]x^{2}[/tex] -4x)
0 -0
0 +6
[tex]x^{2}[/tex]+2x+8 and 6 / x-2
A classroom with r rows can seat a total of p people. If each row in the classroom has the same number of seats. What expression represents the number of seats in one row
Answer: p/r= number of seats in one row
Step-by-step explanation:
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
y = 3x - 5
Step-by-step explanation:
So first take any two points from the graph.
(0, -5), (2, 1)
The slope is [tex]\frac{1 + 5}{2 - 0} =3[/tex]
y = mx + b
b is the y intercept
The y intercept is (0, -5) as this is where the line intersects the y axis.
y = 3x - 5
Please help! DO NOT SEND LINK!
Answer:
Mizuki here to answer!
The correct answer would be 15 inches!
Step-by-step explanation:
7200 ÷ (24 x 20) = 15
Answer:
Hello! answer: 15
Step-by-step explanation:
The volume is 7200 volume is found by doing length × width × height therefore the height is 15 because... 24 × 20 × 15 = 7200 HOPE THAT HELPS!
The temperature was 70 then dropped to 30 how much is it now?
Answer:
nmdjskln Jdj
Step-by-step explanation:
Aliya is making patches out of a 3 3/4 foot strip of fabric. Her patches will be 1/8 of a foot. How many patches will she be able to make?
Answer:
tendrá la capacidad de hacer 6 parches
Step-by-step explanation
Susie flips a coin three times. what is the probability of her getting tails all three times?
Answer:
18
Step-by-step explanation:
Hoped this helped!!
Answer:
1/8 or 12.5%
Step-by-step explanation:
It is a 0.5 percent chance of getting tails in a coin flip. Since you flip the coin three times, multiply the probability of getting tails in a coin flip three times. (0.5) Times (0.5) Times(0.5)= 1/8 or 12.5%.
heyy! i’ll give brainliest please help.
The restaurant manager wants to find how much they are spending for pies and cakes. Last week they payed 204$ for 12 pies and 8 cakes
Answer: See explanation
Step-by-step explanation:
Your question isn't complete and I couldn't get the exact question online but let's reframe it and solve it.
The restaurant manager wants to find how much they are spending for pies and cakes. Last week they payed 204$ for 12 pies and 8 cakes. This week, they paid $129 for 5 pies and 7 cakes.
Let's say the cost of pies is x
Let's say the cost of cake is y.
We'll then use the information given to make an equation which will be:
Last week they payed 204$ for 12 pies and 8 cakes. This will be:
12x + 8y = 204........ i
This week, they paid $129 or 5 pies and 7 cakes. This will be:
5x + 7y = 129 ........... ii
Therefore,
12x + 8y = 204........ i
5x + 7y = 129 .......... ii
Multiply equation i by 5
Multiply equation ii by 12
60x + 40y = 1020 ....... iii
60x + 84y = 1548 ........ iv
Subtract iii from iv.
44y = 528
y = 528/44
y = 12
The cost of cake is $12.
From equation i,
12x + 8y = 204
12x + 8(12) = 204
12x + 96 = 204
12x = 204 - 96
12x = 108
x = 108/12
x = 9
The cost of pies is $9.
gcf (greatest common factor) of 9ab and 16bc
Answer:
1b or b
Step-by-step explanation:
its verified by my math teacher Mr. Gonzales <3333
Find the volume of the rectangular prism
Thank you!!
Answer:90
Step-by-step explanation: do length x base x height to get your answer
help me pleaseeeee. what is this?
Answer:
104
Step-by-step explanation:
all the angles of a triangle add up to 180, so set up an equation like this:
x+35+41=180
now solve for x
x=180-35-41
x=104
Find an expression which represents the sum of (-4x + 3) and (8x + 2) in
simplest terms.
Answer:
4x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(-4x + 3) + (8x + 2)
Step 2: Simplify
Combine like terms (x): 4x + 3 + 2Combine like terms: 4x + 5help please!! all three!
Step-by-step explanation:
volume of hemisphere (V1)
2/3πr³2/3×22/7×9×9169.71cm ³volume of cylinder (V2)
πr²h22/7×9×9×133309.42volume of composite figure =V1+V2
169.71+3309.423479.13stay safe healthy and happy....5, ___, 29, .....
The missing term is ___
Answer:
17
Step-by-step explanation:
I think the answer is 17 if helpful please mark me brainliest!
Answer:
12
Step-by-step explanation:
see if you do the math you will find out that its 12 17+12=29
Which is the better buy? 16 cards for $12.20 OR 14 cards for $10.90
Answer:
The better buy is 16 cards for $12.20 because
Step-by-step explanation:
You need to find the individual price for each card in the packet. So first lets do 16 cards for $12.20, you divide $12.20 by 16 to get the price of one card. 12.2/16=0.7625, or about $0.76. Next we do $10.90 divided by 14, 10.9/14=0.7785, or about $0.78, which means 16 cards for $12.20 is the better buy!
Given, y = x2 – 6x + 8, algebraically determine the
axis of symmetry.
Answer: 3
Step-by-step explanation:
PLEASE HELP!!! I really need help with this question, so if anyone could spare a few min then thank you so much!! ;w;
Answer:
Hello! answer: -6
Step-by-step explanation:
Hope that helps!
The radius of a circle is 6 feet. What is the circle's circumference? Use 3.14
AREA OF A CIRCLE HELP PLS
Answer:
153.86 in²
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
d = 14 inches, r = d/2 = 7 inches
= 3.14 * 7 * 7
= 153.86 in²
Today's cafeteria specials at a high school in Westford are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 13 turkey sandwiches and 69 chef salads, for a total of $151. During the late lunch, 61 turkey sandwiches and 41 chef salads were sold, for a total of $143. How much does each item cost?
Answer:
chef salads = $2
turkey sandwiches = $1
Step-by-step explanation:
two equations can be derived from the question
13t + 69c = 151 eqn 1
61t + 41c = 143 eqn 2
t = turkey sandwiches
c = chef salads
multiply equation 1 by 61 and equation 2 by 13
793t + 4209c = 9211 eqn 3
793t + 533c = 1859 eqn 4
subtract equation 4 from 3
7352 = 3676c
c =2
substitute for c in equation 1
13t + 69(2) = 151
13t + 138 = 151
13t = 151 - 138
13t = 13
t = 1
Help me plz thank you
Answer:C
Step-by-step explanation: 100 x 23/100=23
Phillip watched a beach vollyball game from 1 p.M. To 1:15 p.M How many degrees did the minute hand turn?
Answer: 90°
Step-by-step explanation:
A full rotation on a clock would be 360° like a normal circle and this would represent a full hour.
When it comes to 15 minutes therefore, to find the number of degrees the time would turn, find out the proportion of an hour that 15 minutes is then relate it to 360°.
= 15 mins / 60 mins
= 1/4 hours
If an hour is 360°, 1/4 hours must be:
= 1/4 * 360
= 90°