subtract 2 from both sides
3a - 3y = 15 - 2x
factor out the common term 3
3 (a-y) = 15 - 2x
divide both sides by 3
a - y = 15 - 2x/3
add y to both sides
a = 15-2x/3 + y
then solve put the value for a =
15-2x/3 + y + 7 ÷10
simplify using the common denominator
10(15-2x)+7*3/30
simplify 7 * 3 to 21
10(15-2x)+21/30
expand
150-20x+21/30
simplify 150-20x+21 to -20x + 171
-20x+171/30
Answer: -20x+171/30
[tex]\huge\bf Question:– [/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex] \bf \huge \: To \: Find:–[/tex]
[tex] \boxed{\bf \: Value\: of \: A}[/tex]
[tex]\huge\bf Solution:–[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex]\boxed{ \bf \: Add -2x \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y+−2x=15+−2x[/tex]
[tex]\sf \longmapsto \: 3a−3y=−2x+15[/tex]
[tex]\boxed{ \bf \: Add \: 3y \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a−3y+3y=−2x+15+3y[/tex]
[tex]\sf \longmapsto \: 3a=−2x+3y+15[/tex]
[tex] \boxed{\bf \: \: Divide \: both \: sides \: by \: 3}[/tex]
[tex]\sf \longmapsto \: \dfrac{3a}{3} = \dfrac{−2x+3y+15}{3} [/tex]
[tex] \boxed{\bf \: Cross \: Multiply}[/tex]
[tex]\boxed{\sf \longmapsto \: a = \dfrac{ - 2}{3} x + y + 5}[/tex]
______________________________________
[tex]\bf \: Put\:The\: Value[/tex]
[tex] \sf \longmapsto \: \dfrac{−2x+3y+15}{3} +7÷10[/tex]
[tex] \boxed{\bf \: Distribute}[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x+y+5+ \dfrac{7}{10} [/tex]
[tex] \boxed{\bf \: Combine \: Like \: terms}[/tex]
[tex]\sf \longmapsto \: \bigg( \dfrac{ - 2}{3} x\bigg) + y +\bigg( 5 + \dfrac{7}{10} \bigg)[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x + y + \dfrac{57}{10} [/tex]
______________________________________
[tex]\boxed{\bf The Answer\: is:–}[/tex]
[tex]\boxed{{\underline{\bf\dfrac{ - 2}{3} x + y + \dfrac{57}{10}} }}[/tex]
Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n
The relationship between the sides of the polygon and the triangle follows an arithmetic sequence
The expression that represents the number of triangles is (c) n - 2
From the diagrams, we have:
Sides Triangles
5 3
6 4
8 6
The above can be represented as functions as follows:
[tex]f(5) = 3[/tex]
[tex]f(6) = 4[/tex]
[tex]f(8) = 6[/tex]
Express 6 as 8 - 2
[tex]f(8) = 8 - 2[/tex]
Express 8 as n
[tex]f(n) = n - 2[/tex]
So, the expression that represents the number of triangles is (c) n - 2
Read more about sequence and patterns at:
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How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest
Answer:
1) Divide the numerator by the denominator.
2) Write down the whole number result.
3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
Step-by-step explanation:
not sure of this will help... but hope it does!
Answer:
Explained below :)
I tried my best to explain, sorry if it doesn't make sense
Step-by-step explanation:
Example problem: 11/4 (Mixed number)
1: 11 divided by 4 = 2 (whole number) with a remainder of 3
( Numerator divided by denominator) (Don't turn the number into a decimal leave the remainder)
2: Take the remainder and put it over the denominator 3/4
3: Whole number beside the remainder over the denominator
Your answer would be 2 3/4
PLEASE HELP DUE RIGHT NOW!!!
Answer:
linear
Step-by-step explanation:
-2x^2 + (y)(x/3); use x= -3, and y = 2
Answer:
-2(x^2+1)
Step-by-step explanation:
1. Divide The Numbers:
-2x^2+2(-3/3)
-2x^2+2(-1)
2. Multiply The Numbers:
-2x^2+2(-1)
-2x^2-2
3. Common Factor:
a. Factor by grouping
-2x^2+2(-3/3)
-2x^2-2
b. Factor by Grouping
-2x^2-2
-2(x^2+1)
-2x^2+(2)(-3/3)
Solution: -2(x^2 + 1)
Find the vale of x need help
Answer:
x=45 degrees
Step-by-step explanation:
You can see based off of the markings on the 2 sides, that it is an isosceles triangle, so that means the 2 base angles are equal.
so 2x+90=180 degrees
so 2x=90 degrees
x=45
Answer:
[tex]x=45[/tex]
Step-by-step explanation:
→a+b+c=180
→Angle a is given to be 90 degrees
→ Also the other to angles are the same length so the same angle
[tex]90+2x=180[/tex]
Step 1: Subtract 90 from both sides.
[tex]2x+90-90=180-90[/tex]
[tex]2x=90[/tex]
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} =\frac{90}{2}[/tex]
[tex]x=45[/tex]
Answer:x=45Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.
Answer:
15 ·
16 ···
17 ··
18 ·
19
Step-by-step explanation:
There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:
17 ··
Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are
Answer: 9 11 19
Step-by-step explanation
9 11 19
Answer:
18 and 8
Step-by-step explanation:
Range= 18-8
Mean=(18+8)/2=13
Given f(x)=9-2x, find f(10).
A.-11
B.11
C.29
D.-29
Answer:
the answer is A
Step-by-step explanation:
9-2(10) 9-20
The given function is a linear function that decreases as the value of the
input x increases.
The value of f(10), given f(x) = 9 - 2·x is option A. -11Reasons:
The given function is f(x) = 9 - 2·x
The output of the function is the value of f(x) for a given input x of the function.
The input value, x is substituted into the function to obtain the output value, f(x).
Given that the input, x = 10
We have;
f(10) = 9 - 2×10 = -11
Therefore, the correct option for f(10) is A. -11
Learn more about functions here:
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Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working for 15 minutes. This issue was reported to a diagnosed by Arise Technical Support, in which they issued an individual Waiver. Amy also looked at her schedule wrong, and computer missed three intervals in a row. What was her CA%
Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%
What is the CA percentage?The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.
In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:
Technical issues.Human errors.In the case of Amy, there is a total of 12 intervals and it is known:
She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.She missed three intervals because she looked at her schedule wrong.Based on this information, let's calculate her CA:
12 intervals = 100%9 intervals = xx = 9 x 100 / 12x = 900 / 12x = 75%Learn more about percentage in: https://brainly.com/question/8011401
The set-up cost for a machine that attaches snaps on clothing is $1,100. After set-up,
it costs $0.12 for each snap to be attached. A newer machine has come out that has
a set-up cost of $1,520. With the new machine, it only costs $0.09 for each snap to
be attached. How many snaps would the company have to attach to make the
purchase of the newer machine worthwhile?
Answer:
14,001
Step-by-step explanation:
old machine: 1,100+.12x
new machine: 1,520+.09x
if you plug in 14,000 for x, you get
old machine: 2,780
new machine: 2,780
therefore, you need 1 over 14,000 for it to be worth it because
if you plug in 14,001 for x, you get
old machine: 2,780.12
new machine: 2,780.09
which makes the new machine $.03 cheaper at this point (and the more snaps attached, the more the new machine will be worth it)
hope this helps!
Which inequality does the graph represent?
Answer:
x < -y + 1
Step-by-step explanation:
Don't answer this question
Answer:
Ok
Step-by-step explanation:
At the restaurant, Gordon packed 8 orders with 4 items per order
in the morning. In the afternoon, he packed 6 orders with 7 items
per order.
Answer:
what is the question?
Step-by-step explanation:
Out of 250 million cars on the road in US, about 3.5% are diesel. What percentage are not diesel?
Answer:
96.5%
Step-by-step explanation:
Answer:
241250000 cars aren't diesel (Basically 96.5%)
Step-by-step explanation:
250 million = 250000000
If we are talking about the percentage of cars that aren't diesel, we have two ways of solving this. (I'm gonna solve for not just percentage but for amount too)
1. Find out the percentage that isn't diesel by subtracting 3.5% from 100% and then multiplying the answer to get the result.
or
2. We find out what 3.5% of 250 million is and then subtract that from 250 million
Now to make this short, I will do the first one.
100-3.5 = 96.5
96.5% x 250,000,000 = 241250000
84/120 equivalent fraction
Answer:
7/10
this should work
Step-by-step explanation:
1. Divide
(7x2 - 13x+4) - (x-1
)
Answer:7 x 2 − 14 x + 5
Step-by-step explanation:
1 In general, given a{x}^{2}+bx+cax
2
+bx+c, the factored form is:
a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})
a(x−
2a
−b+
b
2
−4ac
)(x−
2a
−b−
b
2
−4ac
)
2 In this case, a=7a=7, b=-14b=−14 and c=5c=5.
7(x-\frac{14+\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})(x-\frac{14-\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})
7(x−
2×7
14+
(−14)
2
−4×7×5
)(x−
2×7
14−
(−14)
2
−4×7×5
)
3 Simplify.
7(x-\frac{14+2\sqrt{14}}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
14+2
14
)(x−
14
14−2
14
)
4 Factor out the common term 22.
7(x-\frac{2(7+\sqrt{14})}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
2(7+
14
)
)(x−
14
14−2
14
)
5 Simplify \frac{2(7+\sqrt{14})}{14}
14
2(7+
14
)
to \frac{7+\sqrt{14}}{7}
7
7+
14
.
7(x-\frac{7+\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−
7
7+
14
)(x−
14
14−2
14
)
6 Simplify \frac{7+\sqrt{14}}{7}
7
7+
14
to 1+\frac{\sqrt{14}}{7}1+
7
14
.
7(x-(1+\frac{\sqrt{14}}{7}))(x-\frac{14-2\sqrt{14}}{14})
7(x−(1+
7
14
))(x−
14
14−2
14
)
7 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−1−
7
14
)(x−
14
14−2
14
)
8 Factor out the common term 22.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{2(7-\sqrt{14})}{14})
7(x−1−
7
14
)(x−
14
2(7−
14
)
)
9 Simplify \frac{2(7-\sqrt{14})}{14}
14
2(7−
14
)
to \frac{7-\sqrt{14}}{7}
7
7−
14
.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{7-\sqrt{14}}{7})
7(x−1−
7
14
)(x−
7
7−
14
)
10 Simplify \frac{7-\sqrt{14}}{7}
7 7− 14 to 1-\frac{\sqrt{14}}{7}1− 7 14
7(x-1-\frac{\sqrt{14}}{7})(x-(1-\frac{\sqrt{14}}{7}))
7(x−1− 7 /14 )(x−(1− 7 14 )) 11 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-1+\frac{\sqrt{14}}{7})
7(x−1− 7/ 14 .7(x−1+ 7 14 )
MCQS:
Solve for X: X-3 = 27/64
A. 42
B. 43
C. 34
D. 14
Answer:
219/64
Step-by-step explanation:
x - 3 = 27/64
64(x - 3) = 27
64x - 192 = 27
64x = 27 + 192
64x = 219
x = 219/64
Answer:
[tex]x = 3.4218[/tex]
Step-by-step explanation:
[tex]x -3=\frac{27}{64}[/tex]
[tex]64(x-3)=27[/tex]
[tex]64x-192=27[/tex]
[tex]64x=27+192[/tex]
[tex]64x=219[/tex]
[tex]\frac{64x}{64} =\frac{219}{64}[/tex]
[tex]x = 3.4218[/tex]
Hope this helps you :-)
Let me know if you have any other questions :-)
50 POINTS FOR EACH PERSON PLSSSSS HELP!!!!!
∫[tex]x^{\frac{3}{2} }[/tex]㏑(x) dx
Answer:
Look at images below ^^
Step-by-step explanation:
I'm not sure if they are correct, since I'm not there yet. But I hope it's correct.
What is the 24th term in the sequence 1, 3, 5, 7
Answer:
47
Step-by-step explanation:
Each new term is the previous term +2.
1st term = 1
5th term = 9
10th term = 19
15th term = 29
20th term = 39
25th term = 49 - 2 = 47 = 24th term
Answer for brainliest
if EF = 8x + 16, FG = 60, and eg = 156, find the value of x
Answer:
10
Step-by-step explanation:
8x+16+60=156
8x+76=156
8x=80
x=10
Complete the table of values for
1
0
1
1
1
1
1) On the writ, draw the graph of
12
1
0
(0) Use your graph to find
(1)
the value of when x 1.5
(b) the value of x when y6
26
6
Answer:
can't see the pic properly
5x+6 ?? please help 8th grade math work
Answer:
5x + 6 = 0
5x = - 6
x = - 6/5
-6/5 is the answer
A scientist crosses two pea plants that are
heterozygous for plant height and flower
color. Tall is dominant over short and purple is
dominant over white. The plant height and
Flower color genes are unlinked. Complete the
information below and the Punnett square.
Then answer the questions below.
The Punnett square is a diagram divided into squares that is used to determine genotypes.
The question is incomplete, as the required details such as the characters that represent the plant heights and the flower colors are not given.
So, I will give a general explanation instead.
Assume the plants that are crossed are represented as: TT and Tt.
The possible genotypes would be TT, TT,Tt and Tt
In the above list of genotypes, genotype T is dominant over genotype t
See attachment for an illustration of the Punnett square.
Read more about Punnett square at:
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Help help math math math
Answer:
10000
Step-by-step explanation:
you have four digits and each one of them can be 0-9, so 10 possibilities for each digit
10×10×10×10= 10,000
Answer:
160
Step-by-step explanation:
I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).
Given p(x) = x4 – 13x2 – 25x – 12.
A) Use long division to determine the remainder when p(x) is divided by (x2 – 4)? Show all of your work for full credit.
B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.
Answer:
Below.
Step-by-step explanation:
p(x) = x^4 - 13x^2 – 25x – 12
Long division:
x^2 - 4)x^4 - 13x^2 – 25x – 12( x^2 - 9 <-------- Quotient
x^4 - 4x^2
Subtract: -9x^2 - 25x
-9x^2 + 36
-25x - 36 - 12
So the remainder is -25x - 48 (Answer).
B) If the above are correct then:
(x^2 - 4) * quotient + remainder = the original form of p(x).
(x^2 - 4)(x^2 -9) - 25x - 48 = the original p(x).
p(x) = x^4 - 9x^2 - 4x^2 + 36 - 25x - 48
= x^4 - 13x^2 - 25x -12 = original p(x)
Solve the system of equations.
\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned}
−4x+3y=−2
y=x−1
Answer:
x = -1 ; y=0
Step-by-step explanation:
We plug in the y, from the second equation, in the first one. By doing so we obtain:
-4x +3(x-1) = -2
-4x + 3x - 3 =-2
-x = 1
x= -1
Now we take this value and plug it in the second equation:
y = 1-1 = 0
Solution:
(-1,0)
An elevator company claims "for every 15 inches of cable, we can hold up to 32 pounds". Each elevator comes with a standard length of 18 inches for their cable. If an elevator has a
weight limit of 800 lbs, how many additional inches of cable were used?
375 inches of cable were used for an elevator with weight limit of 800 lbs
Let y represent the weight in pounds and x represent the inches of cable.
Since y and x are proportional:
y = kx,
k is the constant of proportionality.
15 inches of cable, we can hold up to 32 pounds. Hence:
32 = 15k
k = 2.13 pounds per inch
y = 2.13x
For a weight of 800 lbs, y= 800:
800 = 2.13x
x = 375 inches
375 inches of cable were used for an elevator with weight limit of 800 lbs
Find out more on equation at: https://brainly.com/question/2972832
PLSSS help now!!!!!! Will mark Brainlyest !!!
Answer:
(7, -4)
Step-by-step explanation:
Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or reflection across both the x- and y-axes.
The image point is (7, -4).
Evaluate. Express your answer in scientific notation.
4.36 x 104 – 41, 600
Answer: 3.456 × 1011
Step-by-step explanation: