Answer:
X=21 and Y=121
Step-by-step explanation:
With these types of problems, we need to know our vertical angles and that lines are 180° when two angles on a line are next to each other.
To solve this problem algebraically we want to add (3x-4) and (6x-5) together so that they equal 180. The reason we do this is that they lie on the same line which is 180°. The equation would look like [tex]3x+6x-5-4=180[/tex]. We then want to add like terms which will leave us with [tex]9x-9=180[/tex]. Now we want to get 9x by itself by adding 9 on each side which leaves us with [tex]9x=189[/tex]. To isolate x we need to divide on each side by 9 which finally leaves us with [tex]x=21[/tex]
Now that we have the value of x (21) we can now utilize our knowledge of vertical angles (angles that are completely across and equal to one another.) We can find y by doing this equation: [tex]y=6x-5[/tex] and with the value of x found we can plug in the value to get [tex]y=6(21)-5[/tex] which simplifies to [tex]y=126-5[/tex] then to [tex]y=121[/tex].
Expand the expression
3(x-6)
Answer:
3x-3(6) = 3x-18
Step-by-step explanation:
Write an equation of a line parallel to the line below in point-stope form that passes through the point (-1,5).
y = 1/4x - 6
y + 1 = - 4(x - 5)
y + 1 = 1/4(x - 5)
y - 5 = 1/4(x + 1)
y- 5 = - 4(x + 1)
a metal plate, with constant density 5 g/cm^2, has a shape bounded by the curbe y = x^2 and the x-axis, with 0<= x <= 3 and the x, y in cm
a) find the total mass of the plate
mass =
b) sketch the plate. using your sketch, is x less than or greater than 3/2?
c) find x
x =
Answer:
a) 45 g
b) greater (make the graph youself on desmos or something)
c) 9/4
Step-by-step explanation:
area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9
mass = density * area = 5 * 9 = 45 grams
area = y*deltax = x^2*deltax
x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4
Currently bank customers wait approximately 7.5 minutes during peak hours to be served by a teller. Suppose the bank manager hires another teller and wants to show that the wait time has now decreased. She takes a random sample of 50 customers during peak time and finds that the average wait time is 9.3 minutes. Which of the following statements is the correct alternative hypothesis?a) H1: µ < 7.5b) H1: µ ≠ 7.5c) H1: µ > 7.5d) H1: µ > 9.3e) H1: µ < 9.3
Answer:
a) H1: µ < 7.5
Step-by-step explanation:
From the given information:
mean = 7.5
sample size = 50
sample mean = 9.3
The main task we are to carry out is to identify the correct alternative hypothesis:
Now to do that, let's state the null and the alternative hypothesis from the given study.
The null hypothesis can be computed as:
[tex]\mathbf{H_o: \mu \geq 7.5}[/tex]
The alternative hypothesis can be computed as:
[tex]\mathbf{H_1: \mu < 7.5}[/tex]
Thus, this test hypothesis is a one-tailed test (left tailed).
5. If you receive 24% off of a $100.00 item, what is the final price of the item?
A. $0.24
Answer:
24% of 100 is 24 meaning you subtract 24 to 100. Giving you $76 as the final price.
Step-by-step explanation:
.
Jamie went shopping for party snacks. He bought 3 bags of chips for $4.00 each, 5 bottles of soda for $2.00 each and an ice cream cake for $20.00. How much did he spend altogether?
Choose the expression that is a correct translation of the problem.
(3 x 4) x (5 x 2) + 20
(3 + 4) + (5 + 2) + 20
(3 x 4) + (5 x 2) + 20
(3 x 4) + (5 x 2) x 20
Answer:
C (3x4) + (5x2) + 20
Step-by-step explanation:
3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.
i rly have no idea what this one is
Answer:
x = 11, y = 17
Step-by-step explanation:
Set the equations equal to each other. Since the vertical angles are congruent, 8x + 7 = 9x - 4 and 5y = 7y - 34. Now, solve your equations for the x and y values.
8x + 7 = 9x - 4
x = 11
5y = 7y - 34
2y = 34
y = 17
3+(-h)+(-4)where h = -7.
Answer:
6
Step-by-step explanation:
3+(-h)+(-4)
Let h = -7
3+(- -7)+(-4)
3+(7)+(-4)
10 -4
6
Please help its vocab matching
Answer:
1. S
2. G
3. I
4. O
5. P
6. D
7. C
8. F
9. J
10. Q
11. E
12. K
13. R
14. A
15. B
16. N
17. M
18. L
19. H
Step-by-step explanation:
4. O
→ 3 is a coefficient of 3x
5. P
→ 3 is a common factor in the expression 3x+9
6. D
→example of a constant term is 1,3,10
7. C
→ [tex]cosx=\frac{adjacent}{hypotenuse} =\frac{A}{H}[/tex]
8. F
→[tex]x^{2} -4[/tex] will be factorised as (x-2)(x+2)
9. J
→ example of an expression is [tex]2x+9[/tex]
10. Q
→ factors of 3 are 3×1.
11. E
→ example of factoring is [tex](x+2)(3x+4)[/tex]
12. K
→ example of a factored completely is [tex]2x(x+y)[/tex]
14. A
→example of a polynomial is [tex]3yx^{3} +xy^{2} -2x+9[/tex].
15. B
→ example of a quadratic expression is [tex]x^{2} +6x-9[/tex].
17. M
→ [tex]sinx=\frac{opposite}{hypotenuse} =\frac{O}{H}[/tex]
18. L
→ [tex]tanx=\frac{opposite}{adjacent} =\frac{O}{A}[/tex]
19. H
→ example of a term is 2x,3,40
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make a pillow and 3 yards to make curtains how much fabric is remaining
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
Please mark as brainliest.
question 9 i mark as brainliest
Answer:
I think the third one I'm not sure tho
Answer:95,826
Step-by-step explanation:
Anna takes 10 selfies every 12 minutes at this rate how many minutes for 25 selfie’s
Answer:
30 minutes.
Step-by-step explanation:
You can make a proportion, which would be 10 selfies : 12 minutes. The second one will be 25 selfies : x minutes.
They have to be equal, since it is given that the rate stays the same. So 10:12=25:x
A proportion can be written as a fraction, so 10/12=25/x.
Cross multiply, and you get 10*x=12*25, or 10x=300.
Now divide both sides by 10 to get x=30.
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
2. Find the distance between (-2,1) and (3,4).
Answer:
[tex]\sqrt{34}[/tex] or 5.83095
Step-by-step explanation:
Use the distance formula [tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^2 }[/tex]
Make sure to round the answer appropriately if not asked for in square root form!!
What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the graph of 2x + 3y = –5?
Find the common ratio of the geometric sequence 2,-6,18,...
Answer: -3
Step-by-step explanation:
Use the ratio r= a2/a1
So -6/2= -3
2*-3=-6
-6*-3= 18
18*-3= -54
Simplify (x^2/7)^3/4
Answer:
(x^2)^(3/4)/7^(3/4)
Step-by-step explanation:
Super easy math question pls help
Answer:
Thanks
Step-by-step explanation
6(9)+6(7)
also, 18(3)+14(3)
what is the value of n n+11=13
Answer:
n = 2
Step-by-step explanation:
[tex]n + 11 = 13[/tex]
Subtract 11 from both sides to isolate n.
[tex]n + 11 - 11 = 13 - 11[/tex]
[tex]n = 2[/tex]
50 POINTS SOLVE !! ::
pls actually solve it thank you <3
k-4 /9 =3
8+b /-4 = -5
Answer:
k = 31/9b = 12Step-by-step explanation:
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
k = 31/9
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
Kylie is shopping at the mall. She buys a pack of water balloons for $3. She also buys seven t-shirts, each marked at the same price. Kylie spends a total of $59
Identify which equation models this situation.
a.3x+7=59
b.3x+7y=59
c.3x+7x=59
d.7x+3=59
Answer:
b 3x +7y =59
Step-by-step explanation:
x is water balloons at 3 each and y is t-shirts at 7$ each.
If m angle p is three less than twice the measure of angle q and angle p and angle q are supplementary angles. Find each angle measure
Answer:
m<P= 119
m<Q= 61
Step-by-step explanation:
Find the distance between the two numbers on a number line. Write your answer as a decimal.
-1.85 , 7.36
Answer:
9.21
Step-by-step explanation:
I'm pretty sure you just add the two numbers as positive numbers :/
The required distance on the number line between the points -1.85 and 7.36 is 9.21.
Given that,
To determine the distance between the two numbers on a number line points are -1.85 and 7.36.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
On the number line, -1.85 lies on the left of the zero, and 7.36 lies on the right so the required distance would be the addition of the two points. So,
Distance = 7.36 - (-1.85)
Distance = 7.36 + 1.86
Distance = 9.21
Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.
Learn more about number line here:
brainly.com/question/17683084
#SPJ5
A city has a population of 38802500 people. Estimate this population to the nearest ten million
Answer:
40,000,000 or 40 million
Step-by-step explanation:
How is dividing and multiplying with an area model similar and How is it different?
Answer:
In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.
Which expression shows the ASSOCIATIVE PROPERTY?
3 + a + b = a + 3 + b
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
3 - a = 3 - b
Answer:
the first one
Step-by-step explanation:
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
Answer:
If a polynomial function has integer coefficients, then every rational zero will have the form pq p q where p p is a factor of the constant and q q is a factor
Step-by-step explanation:
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.
A.68
B.16
C.23
D.18
Answer : The correct option is (A) 68.
Step-by-step explanation :
As we are given that:
LN = 6x - 5
LM = x + 7
MN = 3x + 20
Now we have to determine the value of MN.
According to the question:
LN = LM + MN
Now putting all the given values in this expression, we get:
6x - 5 = (x + 7) + (3x + 20)
6x - 5 = 4x + 27
6x - 4x = 27 + 5
2x = 32
x = 16
The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68
Therefore, the value of MN is 68.
Question 5: What is the equation of the line parallel to x = 7, passing through the point (-4, 1)?
A. X = -4
B. X = 1
C. Y = -4
D. Y = 1
Answer:
(A) x= -4
Step-by-step explanation:
The question requires you to find the equation of the line parallel to x=7
Line x=7 is a vertical line crossing the x-axis at x=7
A vertical line has undefined slope, no slope
However, parallel lines are those that do not meet and has the same slope. This means you should expect that the equation required should also have an undefined slope, slope of zero.
The line will pass through point (-4,1) and be a vertical line.
The equation of the line will be: x= -4
Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)
Answer: y - 3 = -1/5(x+5)
Step-by-step explanation:
Hope this helps