Answer:
x = 10
Step-by-step explanation:
so first distribute the 3/4 to everything on the inside
3/4x + 1 1/2 = 9
now subtract 1 1/2 on both sides
3/4x = 7 1/2
Now divide both sides by 3/4
x = 7 1/2 divided by 3/4
x = 15/2 divided by 3/4
x = 15/2 times 4/3
x = 5/1 times 2/1
x = 10
Apply the Distributive Property and simplify.
- 8(x + 3) = 24
- 8x +
= 24
Answer:
x=-6
Step-by-step explanation:
-8(x+3)=24 first, divide both sides to get x+3=-3
then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.
hope this helps!
Seventh grade
>
M.10 Multi-step problems with percents ZHX
A store purchased a hammock and marked it up 125% from the original cost of $36.57.
Then, wanting to make room for summer inventory, the store placed the hammock on sale for
45% off. What was the price after the discount?
If necessary, round your answer to the nearest cent.
Answer:
$20.57
Step-by-step explanation:
36.57 x 125% (or 1.25) = $45.7125
and
$45.7125 x 45% (or .45) = $20.570625 which rounded up is $20.57
You've gone to fruit stand to get some fresh produce. You
notice that the person in front of you gets 5 apples and 4 oranges
for 10 dollars. You get 5 apples and 5 oranges for 11 dollars.
Create a system of equations that represents this situation.
Step-by-step explanation:
Let $x be the price of an apple and $y be the price of an orange.
5x + 4y = 10
5x + 5y = 11
btw the solution is
y = 1
x = 6/5
5x -3x + 19 = 2x - 10
Answer: x = 7.25
Explanation:
A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest
Answer:
Step-by-step explanation:
Speed=Distance/Time
1.5/78=0.01923076923
Answer rounded=0.02/0.019
In the following equation y = 2x + 3, what value represents the growth?
Group of answer choices
Answer:
isn't it 2x?
Step-by-step explanation:
Factor the polynomial:
462 + 15b - 4
Answer:
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
Step-by-step explanation:
First we can subtract the 4.
458 + 15b
Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
The quantities are not proportional.
Step-by-step explanation:
The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.
The graph represents two quantities are not proportional to each other.
What is Proportional?A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.
Given:
As, A relationship is proportionate if its graph is a line or ray that passes through the origin.
and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.
Here the graph also does not pass through the origin.
Hence, the graph is not proportional.
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What is the solution for 7 +2x/5=13
Answer:
The correct answer is,
[tex]x = \frac{65}{37} [/tex]
2) What is 18th term in this sequence: 45, 49, 53, 57,
Answer:
a₁₈ = 113
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 49 - 45 = 53 - 49 = 57 - 53 = 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 45 and d = 4, then
a₁₈ = 45 + (17 × 4) = 45 + 68 = 113
What does "solution" mean?
What does it mean for a point to be a solution to a linear
equation?
For example, if I say, " (2,5) is a solution to the
equation y = 2x + 3," how could you check my claim?
Answer:
A solution to a linear equation means that the ordered pair is a point that lies on that line.
If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.
In this case,
y= 2(2)+3
y=7
(2,5) is not a solution.
Solve for x.
−3x + 2b > 8
Answer:
x<2/3b+-8/3
Step-by-step explanation:
Let's solve for x.
−3x+2b>8
Step 1: Add -2b to both sides.
2b−3x+−2b>8+−2b
−3x>−2b+8
Step 2: Divide both sides by -3.
-3x/-3>-2b+8/-3
x<2/3b+-8/3
Answer is : x<2/3b+-8/3
How do I do this please hurry!!!!!!
Answer:
put a closed dot on -10. then draw a right arrow from -10 to 11
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.
In short, shaded dot on -10 going to the right.
Corresponding angles are
A. Complementary
B.Equal
C. Supplementary
Answer:
equal
Step-by-step explanation:
When the two lines are parallel Corresponding Angles are equal
4x50=??? use a calculator only if you need to!
Answer:
so if you know what
4 x 5 is you can just add a 0 to the end
so 4 x 5 = 20
o now add a 0
the awnser is 200!!
Step-by-step explanation:
I rlly need this now, show work pls :((
Answer:
1. y=-x-3 2.y=1/3x-4
Step-by-step explanation:
1. 3x+3y=-9
3y=-3x-9
y=-x-3
2. x-3y=12
-3y=-x+12
y=1/3x-4
Samuel runs around a 1-mile track in 10 minutes, and Sophia runs around the same track in
10 minutes. Assuming they continue running at their respective speeds, how many total
miles will they run in 35 minutes? Express your answer as a mixed number.
Answer:
3.5 miles
Step-by-step explanation:
Step one:
given data
Samuel runs around a 1-mile track in 10 minutes
Samuel's speed is
speed= distance/time
speed= 1/10= 0.1 miles per minute
Sophia runs around the same track in 10 minutes
Hence Sophia's speed is also = 0.1 miles per minute
Step two:
Given that the time is 35 minutes, and their speeds are 0.1 miles per minute, we can find the distance from
speed= distance/time
distance= speed*time
distance= 0.1*35
distance= 3.5 miles
There are 100 performers in a dance recital. The ratio of men to women is 4 : 6. How many performers in the dance recital were men?
Answer:
40 men
Step-by-step explanation:
100 performers so the total men and women = 100
4 + 6 = 10
100/10 = 10
so 4(10) = 40
(GIVING BRAINLIEST!!)
Choose the equation that represents the fraction one eighth
A) 7 ÷ 8 = ________
B) 1 ÷ 8 = ________
C) 8 ÷ 7 = ________
D) 8 ÷ 1 = ________
Answer:
Step-by-step explanation:
The answer is d
Answer:
B.
Step-by-step explanation:
I did the test and got it right.
3,500 divided by what =70
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3500 ÷ 70 = 50
3500 ÷ 50 = 70
I need help on this question
28% of the students voted for Julie as 8th grade Class President. If she got 126 votes, how
many students are in the 8th grade class?
Answer:
450
Step-by-step explanation:
[tex] \frac{28}{100} = \frac{126}{x} \\ \frac{7}{25} = \frac{126}{x} \\ 7x = 126 \times 25 \\ x = \frac{126 \times 25}{7} = 450[/tex]
or
[tex]126 \div 0.28 = 450[/tex]
if Leah makes $9.50 per hour and she works 36 hours this week, how much will her paycheck be before taxes?
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Step-by-step explanation:
Suppose that the functions r and s are defined for all real numbers x as follows.
Answer:
a) ( r+ s) (x) = 3 x + 9
b) ( r . s ) (x) = 2 x² + 13 x +20
c) ( r- s) (x) = -1 -x
Step-by-step explanation:
Step(i):-
Given that r(x) = x +4 and s(x) = 2x + 5
a) ( r+ s) (x) = r(x) + s(x)
= x +4 + 2x +5
= 3 x + 9
( r+ s) (x) = 3 x + 9
b)
( r . s ) (x) = r(x) . s(x)
= (x+4) . ( 2x +5)
= x ( 2x +5) + 4( 2x +5)
= 2 x² + 5 x + 8 x +20
= 2 x² + 13 x +20
( r . s ) (x) = 2 x² + 13 x +20
c)
( r- s) (x) = r(x) - s(x)
= (x+4 - ( 2x +5)
= x +4 - 2x -5
= -x -1
( r- s) (x) = -1 -x
Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)
What three pairs of numbers have 5 as there greatest common factor?
Answer:
10 and 15, 20 and 25, and 35 and 45.
Step-by-step explanation:
Last year a pet groomer trim the nails of 865 cat and 1189 dogs if she charged $9 for pet how much money did she earn
Answer:
18486$
Step-by-step explanation:
Two of the steps in the derivation of the quadratic formula are shown below.
Step 6: = b^2-4ac/4a^2= ( x+b/2a )^2
Step 7: = +✔️b^2-4ac/2a= x + b/2a
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?
subtracting b/2a from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant
Answer:
taking the square root of both sides of the equation
Step-by-step explanation:
The operation which is performed in the derivation of the quadratic formula moving from Step 6 to Step 7 is taking the square root of both sides of the equation.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given two steps in deriving the quadratic formula which is used to find the roots of a quadratic equation.
The first step is,
step 6 : (b² - 4ac) / (4a)² = (x + b / 2a)²
step 7 : ± √(b² - 4ac) / 2a = x + b / 2a
We have to find which step is done in between to transform from step 6 to step 7.
It is clear that square root is taken.
When the square root is taken in step 6,
±√[(b² - 4ac) / (4a)²] = √[(x + b / 2a)²]
√(b² - 4ac) / √(4a)² = √(x + b / 2a)²
± √(b² - 4ac) / 2a = x + b / 2a
Hence the step performed is taking the square root on both sides.
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PLEASE SOMEONE HELP ME WITH MY HOMEWORK ILL GIVE BRAINLIST TO WHOEVER GETS THIS RIGHT
Answer:
First one is sin 27 and cos 63
second one is sin 60
Step-by-step explanation:
Felix chooses a game piece from a bag. This table gives the number of game pieces of each color in the bag. what is the probability that Felix will choose a blue or green piece? Please help me
A. 1/3 | B. 1/4 | C. 1/6 | D.1/2
Color {}{}{}{}{} Number of pieces
______________________
Blue = 2
Green = 2
Red = 3
Yellow = 5
Add the colors together to get total pieces:
2 + 2 + 3 + 5 = 12 total pieces.
Blue and green = 2 + 2 = 4 pieces.
Picking blue of green would be 4/12 which reduces to 1/3
The answer is A. 1/3