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Complete Question
The function s(V) = ∛V describes the side length, in units, of a cube with a volume of V cubic units.
Jason wants to build a cube with a minimum of 64 cubic centimeters.
What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?
a) s > 0
b) s ≥ 4
c) s ≥ 8
d) s ≥ 16
Answer:
b) s ≥ 4
Step-by-step explanation:
From the above question, we are given Volume of the cube = 64cm³
We are given the function
s(V) = ∛V
Hence,
The range for the side length s =
s(V) ≥ ∛V
s(V) ≥ ∛64 cm³
s(v) ≥ 4 cm
Therefore, the reasonable range for s, the side length, in centimeters, of Jason’s cube
Option b) s ≥ 4
Answer:
s≥ 4
Step-by-step explanation:
Shawn has a bank account with $4,625. He decides to invest the money at 3.52% interest,
compounded annually. How much will the investment be worth after 9 years? Round to
the nearest dollar.
Answer: The investment will be 6314 after 9 years.
Step-by-step explanation:
Formula to calculate the accumulated amount in t years:
[tex]A=P(1+r)^t[/tex], whereP= principal amount, r= rate of interest ( in decimal)
Given: P = $4,625
r= 3.52% = 0.0352
t= 9 years
Then, the accumulated amount after 9 years would be:
[tex]A=4625(1+0.0352)^9\\\\=4625(1.0352)^9\\\\=4625(1.36527)\approx6314[/tex]
Hence, the investment will be 6314 after 9 years.
Solve for w in terms of t
3w-8=t
Please explain steps
Answer:
[tex]w=\frac{t+8}{3}[/tex]
Step-by-step explanation:
[tex]3w - 8 = t[/tex]
Add 8 on both sides.
[tex]3w - 8 + 8 = t + 8[/tex]
[tex]3w = t + 8[/tex]
Divide both sides by 3.
[tex]\frac{3w}{3} =\frac{t+8}{3}[/tex]
[tex]w=\frac{t+8}{3}[/tex]
The value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an equation:
3w - 8 = t
To solve for w in terms of t
Make the subject as w
In the equation:
3w - 8 = t
Add 8 on both sides:
3w - 8 + 8 = t + 8
3w = t + 8
Divide by 3 on both sides:
3w/3 = (t + 8)/3
w = (t + 8)/3
The equation represents a function of w in terms of t
As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Thus, the value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.
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What is the correlation coefficient for the data in the table?
–0.57
–0.28
0.28
0.57
Answer: i believe it’s 0.28, but tbh i’m on a unit test so i can’t see what’s wrong and what’s right. good luck!
Step-by-step explanation:
Answer:
c- 0.28
Step-by-step explanation:
According to the histogram below, how many people took the test? 39 9 16 23
The correct answer is D. 23
Explanation:
Histograms similar to other graphs represent numerical information, usually by using bars, as well as ranges. For example, in the case presented the information presented belongs to the scores obtained in a test, which are shown using ranges. Moreover, it is possible to know the total of people that took the test by adding each of the frequencies, as the frequency in the y-axis shows the number of times the range repeated and it is expected each grade registered belongs to 1 person. This means the total of people is equal to 2 (score from 60-69) + 9 (score from 70-79) + 7 (score from 80-89) + 5 (score from 90-99) = 23 people.
Answer:
the answer is 23
Step-by-step explanation:
hopes this helps:)
What is the quotient in polynomial form?
Answer:
Step-by-step explanation:
We are given the polynomial [tex]x^3+2^2-2x+3[/tex] and we are dividing by (x+3). So by performing one step of synthetic division we get
1 2 -2 3|-3
-3 3 -3
1 -1 1 0
So the quotient in polynomial form is [tex]x^2-x+1[/tex]
75% letter size paper and 25% legal size paper. What is the ratio of letter size paper to legal size paper
Answer:
3:1
Step-by-step explanation:
75%=[tex]\frac{75}{100}[/tex]=[tex]\frac{3}{4}[/tex]
25%=[tex]\frac{25}{100}[/tex]=[tex]\frac{1}{4}[/tex]
Country X (a developed country) currently has a per capita ecological footprint of 3.2 hectares, while country Y (a developing country) has a per capita ecological footprint of 0.6 hectare. If everybody in the world has an ecological footprint the size of the average footprint between these two countries and there are ~7 billion people on Earth, how many total hectares would be needed
Answer:
Total hectares needed = 13.3 billion hectares of ecological footprint.
Step-by-step explanation:
Country X's per capita ecological footprint = 3.2 hectares
Country Y's per capita ecological footprint = 0.6 hectares
Earth's population = 7 billion
Average footprint between the two nations = 1.9 (3.2 + 0.6) hectares
If everybody in the world (i.e. the earth's population) has an ecological footprint the size of the average footprint between these two countries, i.e. = 1.9 per capita of earth's population,
Therefore, the total hectares of ecological footprint needed will be equal to 7 billion x 1.9
= 13.3 billion hectares of ecological footprint.
need help with this question
Answer:
[tex] - 2 {x}^{5} {y}^{7} [/tex]Last option is correct.
Step-by-step explanation:
[tex] - 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3} [/tex]
Multiply the terms with the same base by adding their exponents
[tex] - 2 {x}^{3 + 2} {y}^{4 + 3} [/tex]
Add the numbers
[tex] - 2 {x}^{5} {y}^{7} [/tex]
Hope this helps..
Best regards!
[tex] - 2 {x}^{5} {y}^{7} [/tex]
Solution:
[tex] - 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3} [/tex]
[tex] = 2 {x}^{(3 + 2)} {y}^{(4 + 3)} [/tex]
[tex] = - 2 {x}^{5} {y}^{7} [/tex]
[tex]{\boxed{\blue{\textsf{Some Important Laws of Indices}}}}[/tex]
[tex]{a}^{n}.{a}^{m}={a}^{(n + m)} [/tex]
[tex]{a}^{-1}=\dfrac{1}{a}[/tex]
[tex]\dfrac{{a}^{n}}{ {a}^{m}}={a}^{(n-m)}[/tex]
[tex]{({a}^{c})}^{b}={a}^{b\times c}={a}^{bc}[/tex]
[tex] {a}^{\frac{1}{x}}=\sqrt[x]{a}[/tex]
[tex]a^0 = 1[/tex]
[tex][\text{Where all variables are real and greater than 0}][/tex]
Explain how to write an equivalent expression using the
associative property.
2+(11 + y)
Answer:
2+(11+y)=(2+11)+y=11+(2+y)
Answer:
Sample Response: The associative property allows you to keep the order of the terms and change the position of the parentheses. So you can rewrite the terms in the same order and then move the parentheses so that the 2 + 11 is now inside. The equivalent expression is (2 + 11) + y.
Step-by-step explanation:
E d g e n u i t y
Which equation represents the line that is parallel to y=4 and passes through (-3,1).
A. x=1
B. x= 3
C. y= 1
D. y= 4x + 13
Answer:
C. y = 1
Step-by-step explanation:
For two line to be parallel, they have to have the same slope. The slope for the equation y = 4 is 0. This cancels out answer choices A, B, and D.
A and B have an undefined slope since they are vertical lines.
D has a slope of 4.
Also, the line has to go through the point (-3, 1). Since the line has a slope of 0, the equation will include the y-value. The y-value for this point is 1. This gives you an answer of y = 1.
Answer:
y = 1
Step-by-step explanation:
Just took the practice test and got it right
What is the following simplified product? Assume x>0
2 square root 8x^3(3 square root 10x^4-x square root 5x^2
Answer:
[tex] 24x^3\sqrt{5x} - 4x^3\sqrt{10x} [/tex]
Step-by-step explanation:
The product [tex]2\sqrt{8x^3} (3\sqrt{10x^4} - x\sqrt{5x^2})[/tex] can be simplified as follows:
Step 1: Use the distributive property of multiplication
[tex]2\sqrt{8x^3}(3\sqrt{10x^4)} - 2\sqrt{8x^3}(x\sqrt{5x^2})[/tex]
[tex] 2*3\sqrt{8x^3*10x^4} - 2*x\sqrt{8x^3*5x^2} [/tex]
[tex] 6\sqrt{80x^7} - 2x\sqrt{40x^5} [/tex]
Step 2: simplify further
[tex] 6\sqrt{16*5*x^3*x^3*x} - 2x\sqrt{4*10*x^4*x} [/tex]
[tex] 6*4*x^3\sqrt{5*x} - 2x*2*x^2\sqrt{10*x} [/tex]
[tex] 24x^3\sqrt{5x} - 4x^3\sqrt{10x} [/tex]
What’s 6(x – 1) = 9(x + 2) ?
Answer:
-8=x
Step-by-step explanation:
6x-6=9x+18
-6-18=9x-6x
-24=3x
x=-8
hope i helped
brainliest pls
im trying to level up
Answer:
x=-8
Step-by-step explanation:
Faizan buys a car for £2000.Its value depreciates by 2% each year. How much is it worth after 1 year?
Answer:
£1960
Step-by-step explanation:
Step 1.
2% = 100% ÷ 50
Step 2.
£2000 ÷ 50 = £40
Step 3.
£2000 - £40 = £1960
In the diagram what is the measure of WRS
Step-by-step explanation:
in the diagram what is the value of WRS
A tower is 40 ft tall and 20 ft wide. A model of the tower is 5 in. tall. Identify the width of the model in inches.
Answer:
The width of the model will be 2.5 inches
Step-by-step explanation:
The tower was scaled down by a factor to a smaller size in the model. We are to, first of all, determine this factor and then use it to scale down the width of the model.
Step One: Determine the scale factor from the tower height.
The scale factor is obtained from the formula:
Scale factor = model size / observed size
This will be
Height of model tower/ height of the real tower.
The height of the model tower is 5 inches which is the same as 0.416667 ft
Scale factor = 0.416667 ft/ 40ft = 0.0104
Step two: Multiply the width of the real-life tower by the scale factor to get the model width.
Width of model =20ft X 0.0104 = 0.208ft
Step three: Convert your answer back to inches.
We will now have to convert 0.208 ft back to inches by multiplying by 12
This will be 0.208 X 12 =2.5 inches.
The width of the model will be 2.5 inches
the sum of two numbers is -26. One number is 148 less than the other. Find the numbers
Answer:
61 and -87
Step-by-step explanation:
If the numbers are x and x - 148, we can write the following equation:
x + x - 148 = -26
2x - 148 = -26
2x = 122
x = 61 so x - 148 = 61 - 148 = -87
I will award you brainlist
Based only on the information given in the diagram, it is guaranteed that
АВС- DEF.
A. True
B. False
Answer:
TRUE
Step-by-step explanation:
We are given 2 triangles, ∆ABC and ∆DEF.
For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.
From the information given, the following are the set of corresponding angles:
<B = <E = 31°
<B = <D = 90°
<C = <F = 59° [180 - (90+31)]
The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each sequence to its appropriate recursively defined function. f(1) = 13 f(n) = f(n - 1) + 26 for n ≥ 2 f(1) = 13 f(n) = 3 · f(n - 1) for n ≥ 2 f(1) = -24 f(n) = -4 · f(n - 1) for n ≥ 2 f(1) = 28 f(n) = f(n - 1) - 84 for n ≥ 2 f(1) = 28 f(n) = -4 · f(n - 1) for n ≥ 2 f(1) = -24 f(n) = 4 · f(n - 1) for n ≥ 2 Sequence Recursively Defined Function -24, -96, -384, -1,536, ... 28, -112, 448, -1,792, ... 13, 39, 65, 91, ...
Answer:
sequence 3no matching sequenceno matching sequenceno matching sequencesequence 2sequence 1Step-by-step explanation:
Recursively Defined Function Sequence
f(1) = 13 f(n) = f(n - 1) + 26 for n ≥ 2 13, 39, 65, 91, ...
f(1) = 13 f(n) = 3 · f(n - 1) for n ≥ 2
f(1) = -24 f(n) = -4 · f(n - 1) for n ≥ 2
f(1) = 28 f(n) = f(n - 1) - 84 for n ≥ 2
f(1) = 28 f(n) = -4 · f(n - 1) for n ≥ 2 28, -112, 448, -1,792, ...
f(1) = -24 f(n) = 4 · f(n - 1) for n ≥ 2 -24, -96, -384, -1,536, ...
__
The initial values are easily seen. They match f(1). The recursive functions can be tested to see if they match the offered sequences.
sequence 1 has a common ratio of 4 (not -4)
sequence 2 has a common ratio of -4 (it is not arithmetic)
sequence 3 has a common difference of 26 (it is not geometric)
Answer:
1 is sequence 3
5 is sequence 2
6 is sequence 1
(These r not included in the test, so don't use them)
|
\ /
2 is no matching sequence
3 is no matching sequence
4 is no matching sequence
Step-by-step explanation:
PLATO
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
NO
54
оо
96
Answer:
2/3
Step-by-step explanation:
The equation for direct variation is: y = kx, where k is a constant.
Here, we see that y varies directly with x when y = 6 and x = 72, so let's plug these values into the formula to find k:
y = kx
6 = k * 72
k = 6/72 = 1/12
So, k = 1/12. Now our formula is y = (1/12)x. Plug in 8 for x to find y:
y = (1/12)x
y = (1/12) * 8 = 8/12 = 2/3
Thus, y = 2/3.
~ an aesthetics lover
Answer:
Step-by-step explanation: I hope i'm right
[tex]y \alpha x\\y=kx....(1)\\6=72k\\\frac{6}{72} =\frac{72k}{72} \\\\1/12 =k\\y = 1/12x=relationship-between;x-and;y\\x =8 , y =?\\y = \frac{8}{12} \\Cross-Multiply\\12y =8\\12y/12 = 8/12\\\\y = 2/3[/tex]
Solve the inequality. –10d ≥ –70
Answer:
d≤7
Step-by-step explanation:
-10d≥-70
d≤7
Write an expression for each statement and then simplify it, if possible.
g
There are two numbers, that sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers ?
Answer:
If the smaller number is x, then the equation is
. The numbers are
,
.
Answer:
x = 18; y = 35
Step-by-step explanation:
This gives us the equation:
1. x+y=53
2. 3x=y+19
3. 3x-y=19
Add the first and last line together: x+y+3x-y=53+19
Simplifies to: 4x=72
Divide by 4 to get: x = 18
Plug your numbers into the first equation to get 18+y=53; y = 35.
Answer:
The numbers are 18 and 35.
Step-by-step explanation:
The smaller number is x.
Let the other number by y.
Three times the smaller number is equal to 19 more than the larger number.
3x = y + 19
The larger number is
y = 3x - 19
the numbers add up to 53
x + y = 53
x + 3x - 19 = 53
4x = 72
x = 18
y = 3x - 19 = 3(18) - 19 = 54 - 19 = 35
The numbers are 18 and 35.
The bar graph below shows trends in several economic indicators over the period . Over the six-year period, about what was the highest consumer price index, and when did it occur? Need help with both questions!
How many ten-digit numbers have at least two equal digits?
Please explain!
Between 1,000,000,000 and 9,999,999,999 there are 9,000,000,000 different ten-digit numbers. Of those, 9*9! (9 times 9 factorial) = 3,265,920 have all ten digits different, i.e., no two equal digits. Take the difference of those two numbers, and you will have your answer.
--------------------
Hope this helps!
Brainliest would be great!
--------------------
With all care,
07x12!
What is closest to the area of this section of the garden?
Answer:
117.984ft^2
Step-by-step explanation:
To find the area of a circle the formula is PiR^2 so the area for the full 360 degree circle is. 530.929 ft^2.
Now that we know this we can use a ratio.
530.929/360=x/80
u divide out the left side and multiply it by 80.
so that shows that the area of this circle is
117.984ft^2
Helen has 48 cubic inches of clay to make a solid
square right pyramid with a base edge measuring 6
inches.
Which is the slant height of the pyramid if Helen uses all
the clay?
O 3 inches
O4 inches
O 5 inches
O 6 inches
6 in
Save and Exit
Next
Submit
Mark this and return
Answer:
4 inches.
Step-by-step explanation:
The formula for the volume of a pyramid is v=1/3bh.
V is the volume of the shape
1/3 is just a rational number or fraction.
b is the area of the base shape of the 3d shape
h is the height of the shape (slant height).
The general formula for the volume of all shapes is V=Bh
V is the volume
B is the area of the base
h is the height of the prism.
In this case, we have a pyramid, so let's use the formula V=1/3Bh.
We know what the volume so 48=?
We can put 1/3 so 48=1/2 times ? times ?.
The base shape of this pyramid is a square, and it has an edge of 6 inches. We need to find the area of that square because it is the area of our base. the formula for finding the area of a square is A=S squared.
A is the area of the shape
S is the side length.
The reason why it is squared is because all sides of a square are equal to each other. Since the base edge is 6 inches, the other edges are 6 inches as well. There are 4 edges in a square.
A= 6 times 6.
A=36.
We have the area of the base, so we can put 48=1/3 times 36 times ?.
We are finding what the slant height is, so let's put the letter "h" to represent the slant height.
Now, 48=1/3 times 36 times h.
All we have to do is solve for h.
First we have to simplify one side of the equation.
To simplify, we have to do 1/3 times 36, or you can do 36 divided by 3. It is your choice. 36 divided by 3 is 12.
Now we have 12h=48.
Isolate h by dividing both sides by 12. 12h divided 12 is h. 48 divided by 12 is 4.
Therefore h=4 inches. The reason we divide both sides is because we have to do the inverse operation of the original equation. For instance 12h=48. To get to 48, you do 12 times h. We take the inverse (opposite) operation of multiplication (division). That will isolate for h.
The slant height of this square pyramid is 4 inches.
Hope this helps. Have a good rest of your day!
The slant height of the pyramid is 4 inches. Therefore, the option B is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, volume of square right pyramid = 48 cubic inches and base edge measuring 6 inches.
We know that, the volume of square based pyramid =a²h/3.
Here, a=6 inches and h=slant height
Now, 48= (6²×h)/3
48=36h/3
48=12h
h=4 inches
Therefore, the option B is the correct answer.
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Which statements are true rega quadrilateral. ABCD? ABCD has congruent diagnals
Answer:
the first, second and last option are all correct
Step-by-step explanation:
just Googled and squares have congruent diagonals, and the definition of a rhombus is that all the sides and angles have to be equal and adjacent, and a square has those qualities, which would also make the last statement true.
a square have two pairs of parallel sides, making the fourth one incorrect
and a square is also a rectangle so the third one is wrong as well!! :)
Which linear function represents the line given by the point-slope equation y-8 = {(x - 4)?
O f(x)=x+4
Of(x)= x+6
O fx) = x-10
O f(x) = {x-12
Answer:
[tex]f(x) = x + 4[/tex]
Step-by-step explanation:
[tex]y - 8 = x - 4[/tex]
Add 8 to both sides to isolate the y
[tex]y = x - 4 + 8[/tex]
then you're left with y = x + 4
A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 5, s(0) = 6, v(0) = −5
Answer:
The position of the particle is described by [tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + 6,\forall t \geq 0[/tex]
Step-by-step explanation:
The position function is obtained after integrating twice on acceleration function, which is:
[tex]a(t) = 2\cdot t + 5[/tex], [tex]\forall t \geq 0[/tex]
Velocity
[tex]v(t) = \int\limits^{t}_{0} {a(t)} \, dt[/tex]
[tex]v(t) = \int\limits^{t}_{0} {(2\cdot t + 5)} \, dt[/tex]
[tex]v(t) = 2\int\limits^{t}_{0} {t} \, dt + 5\int\limits^{t}_{0}\, dt[/tex]
[tex]v(t) = t^{2}+5\cdot t + v(0)[/tex]
Where [tex]v(0)[/tex] is the initial velocity.
If [tex]v(0) = -5[/tex], the particular solution of the velocity function is:
[tex]v(t) = t^{2} + 5\cdot t -5, \forall t \geq 0[/tex]
Position
[tex]s(t) = \int\limits^{t}_{0} {v(t)} \, dt[/tex]
[tex]s(t) = \int\limits^{t}_{0} {(t^{2}+5\cdot t -5)} \, dt[/tex]
[tex]s(t) = \int\limits^{t}_0 {t^{2}} \, dt + 5\int\limits^{t}_0 {t} \, dt - 5\int\limits^{t}_0\, dt[/tex]
[tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + s(0)[/tex]
Where [tex]s(0)[/tex] is the initial position.
If [tex]s(0) = 6[/tex], the particular solution of the position function is:
[tex]s(t) = \frac{1}{3}\cdot t^{3} + \frac{5}{2}\cdot t^{2} - 5\cdot t + 6,\forall t \geq 0[/tex]
Answer:
Position of the particle is :
[tex]S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+6[/tex]
Step-by-step explanation:
Given information:
The particle is moving with an acceleration that is function of:
[tex]a(t)=2t+5[/tex]
To find the expression for the position of the particle first integrate for the velocity expression:
AS:
[tex]V(t)=\int\limits^0_t {a(t)} \, dt\\v(t)= \int\limits^0_t {(2.t+5)} \, dt\\\\v(t)=t^2+5.t+v(0)\\[/tex]
Where, [tex]v(0)[/tex] is the initial velocity.
Noe, if we tale the [tex]v(0) =-5[/tex] ,
So, the velocity equation can be written as:
[tex]v(t)=t^2+5.t-5[/tex]
Now , For the position of the particle we need to integrate the velocity equation :
As,
Position:
[tex]S(t)=\int\limits^0_t {v(t)} \, dt \\S(t)=\int\limits^0_t {(t^2+5.t-5)} \, dt\\S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+s(0)[/tex]
Where, [tex]S(0)[/tex] is the initial position of the particle.
So, we put the value [tex]s(0)=6[/tex] and get the position of the particle.
Hence, Position of the particle is :
[tex]S(t)=\frac{1}{3}.t^3+\frac{5}{2}.t^2-5.t+6[/tex].
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In a small private school, 55 students are randomly selected from 1313 available students. What is the probability that they are the fivefive youngest students?
Complete Question
In a small private school, 5 students are randomly selected from 13 available students. What is the probability that they are the five youngest students?
Answer:
The probability is [tex]P(x) = 0.00078[/tex]
Step-by-step explanation:
From the question we are told that
The number of student randomly selected is r = 5
The number of available students is n = 13
Generally the number of ways that 5 students can be selected from 13 available students is mathematically represented as
[tex]n(k)=\left n} \atop {}} \right.C_r = \frac{n ! }{(n-r ) ! r!}[/tex]
substituting values
[tex]\left n} \atop {}} \right.C_r = \frac{13 ! }{(13-5 ) ! 5!}[/tex]
[tex]\left n} \atop {}} \right.C_r = \frac{13 * 12 * 11 * 10 * 9 *8! }{8 ! * 5 * 4 * 3 * 2 *1}[/tex]
[tex]\left n} \atop {}} \right.C_r = 1287[/tex]
The number of method by which 5 youngest students are selected is n(x) = 1
So
Then the probability of selecting the five youngest students is mathematically represented as
[tex]P(x) = \frac{n(x)}{n(k)}[/tex]
substituting values
[tex]P(x) = \frac{1}{1287}[/tex]
[tex]P(x) = 0.00078[/tex]
The value of x that will make L and M
Greetings from Brasil...
Here we have internal collateral angles. Its sum results in 180, so:
(6X + 8) + (4X + 2) = 180
6X + 4X + 8 + 2 = 180
10X + 10 = 180
10X = 180 - 10
10X = 170
X = 170/10
X = 17