Answers
Answer:
1) 21
2a) -23/30
2b) 6/55
Step-by-step explanation:
1) 3(x + 2) + 5x + 7
expand the brackets:
= 3x + 6 + 5x + 7
collect like terms:
= 8x + 13
when x = 1, (just substitute 1 for x)
8(1) + 13
= 8 + 13
= 21
2a)
-9/10 + 2/15
put both fractions on the same denominator (often we can just multiply each denominator by the other one):
so -9/10 * 15/15
= -135/150
and 2/15 * 10/10
= 20/150
now they're both on the same denominator and we can add the numerators:
-135 + 20 = -115
so our answer is:
-115/150
which we can simplify to:
-23/30
2b)
3/11*2/5
Multiplying fractions is very simple, as it doesn't require to have the same denominators. We can just multiply the numerators by each other and same for the denominators:
3*2 = 6
11*5 = 55
therefore, our answer is:
6/55
A)
3(x+2) + 5x + 7
3x + 6 + 5x + 7
3x + 5x + 6 + 7
put x = 1
3(1) + 5(1) + 6 + 7
3 + 5 + 6 + 7
21
B)
a)
[tex]\sf \rightarrow -\dfrac{9}{10} + \dfrac{2}{15}[/tex]
[tex]\sf \rightarrow -\dfrac{9(15)}{150} + \dfrac{2(10)}{150}[/tex]
[tex]\sf \rightarrow -\dfrac{135}{150} + \dfrac{20}{150}[/tex]
[tex]\sf \rightarrow \dfrac{-135+20}{150}[/tex]
[tex]\sf \rightarrow \dfrac{-115}{150}[/tex]
[tex]\sf \rightarrow \dfrac{-23}{30}[/tex]
b)
[tex]\sf \rightarrow \dfrac{3}{11} \ * \ \dfrac{2}{5}[/tex]
[tex]\sf \rightarrow \dfrac{3*2}{11 *5}[/tex]
[tex]\sf \rightarrow \dfrac{6}{55}[/tex]
Related Questions
Part A: Solve for A
Part B: Determine m∠ABQ
Part C: Determine m∠BCR
If there is work please show if you can
Answers
Answer:
a=25
angle abq=139 degrees
bcr=41
Step-by-step explanation:
(2a-9)+(5a+14)=180
7a+5=180
7a=175
a=25
2(25)-9=41
180-41=139
angle abq=139 degrees
bcr=41
what is the slope of a line passing through (-3,-4) and (3,4)
Answers
Answer:
4/3
Step-by-step explanation:
you use slope formula
Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Please show your work
Answers
Answer:
4+1=m??? I think
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
-7x = 14
Determine whether the equations above has a one solution, no solution, or an infinite number of solution.
Answers
Answer:
x = 14/-7
x = -2
It has ONE SOLUTION
5x=y is it Proportional or not and if it is proportional whats the constant proportionality
Answers
Answer:
Yes, 5x = y is Proportional and, the constant of proportionality is 5
Step-by-step explanation:
If x and y are proportion, then
y = k x is the equation of the proportional, where k is the constant of proportionalityIt represented graphically by a line passes through the origin (0, 0)∵ 5x = y
→ Switch the two sides
∴ y = 5x
→ Check it if passes through the origin point or not
∵ At x = 0, y = 5(0) = 0
∴ (0, 0) is a point ∈ y = 5x
∴ y = 5x represented graphically by a line passes through the origin
∴ x and y are proportion
∴ y = 5x is the equation of proportional
→ By comparing it with the form of the equation above
∴ k = 5
In a video game Nutcracker Sweet, a squirrel finds a nut. When he cracks that nut, 4 more nuts come out. When he cracks those 4 nuts, 4 more nuts come out of each. If this process continues, how many nuts will there be after 5 of these nut-cracking sessions? (Cracked nuts are counted as a nut.)
Answers
Answer and explanation:
4294967296 nuts
Please find attached
Answer:
127 nuts
Step-by-step explanation:
there is no explenation here... the answer is 127 nuts
(HELP MEEE PLEASEE) What are the coordinates of point Q?
A) 0,2
B) 2,4
C) 4,1
D)4,2
Answers
Answer:
B. (2,4)
Step-by-step explanation:
PLEASE HELP!!
6. mZ1 = (3x + 10)
m24 = (4x - 15)
What is the m<7?
Answers
Answer:
95°
Step-by-step explanation:
1 is opposite to 4. So, (3x+10)° = (4x-15)°
3x + 10 = 4x - 15
10 + 15 = 4x - 3x
25 = x
m(4) = 4x - 15 => 4.25 - 15
100 - 15 = 85 = m(4)
7 is opposite to 6 and 6 is parallel to 4. So, m(4) + m(6) = 180°
85° + m(6) = 180°
m(6) = 95°
6 is opposite to 7, so m(6)=m(7) and answer is 95°
Hope this helps ^-^
What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Put your answer in fully reduced form.
Answers
Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
[tex]y = m\cdot x + b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
If we know that [tex](x_{1},y_{1}) = (0,3)[/tex] and [tex](x_{2},y_{2})=(5,-3)[/tex], the following system of linear equations is constructed:
[tex]b = 3[/tex] (Eq. 2)
[tex]5\cdot m + b = -3[/tex] (Eq. 3)
The solution of the system is: [tex]b = 3[/tex], [tex]m = -\frac{6}{5}[/tex]. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].
To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The most important thing to remember is that whatever you do to one side of the equation, you have to do the same thing to the other side. 5 + y = 7
Answers
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
Given
[tex]5 + y = 7[/tex]
Required
Solve
From the analysis attached to the question, we can solve this equation by subtracting 5 from both sides:
[tex]5 + y = 7[/tex]
[tex]-5 + 5 + y = 7 - 5[/tex]
[tex]0 + y = 2[/tex]
[tex]y = 2[/tex]
A balloon is measured at 45 feet above the ground. Two minutes later it is measured at 92 feet above the ground. By what percent has the height of the ballon changed?
Answers
An initial investment of $500 is made in an account which earns 6% interest compounded
semiannually. Which of these equations gives the value of the investment after t years?
Answers
Answer:
A = 500(1+6%/2)^2t
Step-by-step explanation:
Given the general compound interest formula A = P(1+r/n)^nt. With an initial investment of $500, and percent interest of 6% compounded semi annually(every six months/half a year/twice in one year). A = 500(1+6%/2)^2t .
i.e if given two years of compound interest, t=2. A = 500(1+6%/2)^2(2), 500(1+0.03)^4, 500(1.03)^4, 500(1.12550881), 500(≈1.1255) = 562.75
A = 562.75$ for two years
What is the equation of the line that passes through the point (-5, 1) and has a slope of-1/5
Answers
m = slope
b = y-intercept
y = -1/5 + 1
You get the y-int, 1, from the ordered pair (-5,1)
The 1 from
Answer: Y=1/5x-2
Step-by-step explanation:
Solve the inequality, write the solution in interval notation. Then graph it on a number line.
I need help :
Answers
Answer:
z < 4 or z > -6
Step-by-step explanation:
5z < 20
z < 4
or
z > -6
z < 4 or z > -6
if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.
Answers
Answer:
[tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]
Step-by-step explanation:
[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]
MATH HELP PLESE HELP ME
Answers
A supplementary angle is equal to 180°
The 81+99=180
Answer:
x=99
z=28
Step-by-step explanation:
180-81=99
81+3=84
84/3=28
help!!! I don't know this
Answers
Answer:
Graph C
The Y axis is up and down and the x axis is side to side. So first we want to look to see which line crosses the y axis the the up and down black line.
When you are finding a coordinate you set it up like this (x, y). You will find x first and y second.
So we are down to two graphs graph a and graph c. Know both of them cross at the (0,-7) mark but it asks for one other thing a well.
On a graph when something decreases it will go down and when something increases it will go up. So that tells me it is graph C.
Which of the following is a plural subjective pronoun?
A. I
B. it
C. we
D. them
Answers
Answer:
D
Step-by-step explanation:
Find the fifth term of the sequence
3, 5, 9, 17, _
(If you need help: The rule of the following sequence is k = 2n +1 )
Answers
Answer:
33
Step-by-step explanation: the number added itself gets multiplied by two. so 3+2 then 5+4 then 9+8 then 17+16
question in the picture:)
Answers
Answer:
$1.25
Step-by-step explanation:
10/8=1.25
Answer: $1.25
Step-by-step explanation: When you divide 10 by 8 you get and answer of 1.25. Or $1.25
The y intercept of the line whose equation is 7x - 4y=8
7/4
8
-2
Answers
Answer:
y intercept is -2.
Step-by-step explanation:
Convert the equation to slope-intercept form, or in other words, isolate the y variable. You should get y=(7/4)x-2. the -2 is the y intercept.
Hope this helped!
what is the reduced ratio of 24:96
Answers
Answer:
Your answer: 24/96 = (24 ÷ 24)/(96 ÷ 24) = 1/4
Your answer is: 1:4
Step-by-step explanation:
Hope this helped : )
Answer:
1:4 is your ans
Step-by-step explanation:
please mark as brainliest
A polygon is shown
If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates
Answers
Answer:
A will be at -3.3 B will be at -4.1 C will be at 6.1 D will be at 1.3 hope this helps
Given A and B are vertical angles with m anglr A = 20x + 10 and m angle B =30x - 10 , what is X?
Answers
Answer: The answer is 2
Step-by-step explanation:
Given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2
From the Vertical angle theorems, we have that
Two opposite vertical angles formed when two lines intersect each other are always equal to each other.
Now, from the question, we are given that A and B are vertical angles
That means
A = B
Also, from the question
measure of angle A = 20x + 10 and measure of angle B = 30x - 10
To determine the value of x, we will equate the two equations to each other
A = 20x + 10
B = 30x - 10
Since, A = B
∴ 20x + 10 = 30x - 10
To solve for x,
First, add 10 to both sides20x + 10 + 10 = 30x - 10 +10
We get
20x + 20 = 30x
Now, subtract 20x from both sides20x - 20x + 20 = 30x - 20x
20 = 10x
That is,
10x = 20
∴ x = 20 ÷ 10
x = 2
Hence, given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2
Learn more here: https://brainly.com/question/5719544
Increase £30 by 2/5?
Answers
30 + 12 = 42
£42
What is the value of X?
Please Help me
Answers
Answer:
The answer would be c- 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
X=1/2
volume d'un cube= x^3
donc (1/2)*(1/2)*(1/2)=1/8
I need help plz.
What is the slope of the line shown on the graph to the right?
The slope of the line is .....................
Answers
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 0) and (x₂, y₂ ) = (4, 6) ← 2 points on the line
m = [tex]\frac{6-0}{4+8}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
the high road in scotland is 180 miles longer than the low road. when Jocelyn goes to scotland and returns along the low road the round trip is 1060 miles. how many miles is the high road
a.350
b. 440
c. 530
d. 620
Answers
Answer:
the aswer is 620(d)
Step-by-step explanation:
what i did was subtract 180 from 1060 and got 880
then i divides that by 2 and got 440
once i did that i then added the 18o to the 440 and got 620
PLEASE HELP ME!! URGENT!!WILL MARK BRAINLIEST
Answers
what is an equation of the line that passes through the point (5, -7) and has a slope of 0
Answers
Answer:
y= -7
Step-by-step explanation:
A line that has a slope of zero is a horizontal line
Horizontal lines are of the form
y=
The y coordinate is -7
y= -7