Since the horizontal lines are parallel, we can set the angles equal to each other. So...
7x - 1 = 8x - 14
Solving for x...
x = 13
how many different 3 digit numbers can be formed using the digits 9,3,4,7 and 6? assume no number can be used more than once
Answer:
57
Step-by-step explanation:
976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346
71-2x + 2
y2= -x+8
Albert created this table of solutions for the equations.
X
-2
0
4
N
S
yu
2 | 2
6
10
y2
10
8
6
4
Which point is a solution to the system of equations?
А.
(-2,-2)
B. (0,8
C.
(2,6
Cinem
D. (10,4)
in
Answer:
(2,6)
Step-by-step explanation:
y1 = y2
2x + 2 = - x + 8
2x + x = 8 - 2
3x = 6
x = 2
y1 = y2 = 6
Main Factoring Special Case Quadratics
[tex]81c {}^{2} - 4 = (9c - 2)(9c + 2)[/tex]
since it is in the form of:
[tex]x {}^{2} - y {}^{2} = (x - y)(x + y)[/tex]
2)
[tex]75x {}^{2} - 27y {}^{2} = (5 \sqrt{3} x - 3 \sqrt{3} y)(5 \sqrt{3} x + 3 \sqrt{3} y)[/tex]
3)
[tex]z {}^{2} + 12z + 36[/tex]
[tex]z {}^{2} + 6z + 6z + 36[/tex]
[tex]z(z + 6) + 6(z + 6)[/tex]
[tex](z + 6)(z + 6)[/tex]
[tex](z + 6) {}^{2} [/tex]
4)
[tex]4f {}^{2} + 18f + 18f + 81[/tex]
[tex]2f(2f + 9) + 9(2f + 9)[/tex]
[tex](2f + 9)(2f + 9)[/tex]
[tex](2f + 9) {}^{2} [/tex]
5)
[tex]49a {}^{2} - 14a + 1[/tex]
[tex](7a - 1) {}^{2} [/tex]
6)
[tex]x {}^{4} - 16[/tex]
[tex](x {}^{2} - 4)(x {}^{2} + 4)[/tex]
Traveling at a speed of 12 mph, Jen biked home in 20 minutes. What was Jim's speed
if he biked the same distance in 15 minutes?
The speed of Jim if he biked the same distance in 15 minutes is 16 mph
What is speed ?Speed is the distance covered at a particular time. Therefore,
speed = distance / time
The distance in the first journey can be calculated as follows:
speed = 12 mph
time = 20 minutes = 0.3333 hours
12 = x / 0.333
distance = 0.333 × 12 = 3.9996 miles
Therefore, the speed of Jim if he biked the same distance in 15 minutes can be calculated as follows:
15 minutes = 0.25 hours
speed = 3.9996 / 0.25
speed = 15.9984
speed = 16 mph
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Answer:
The speed of Jim if he biked the same distance faster than Jen. In 15 minutes is 16 mph is Jim’s speed
Step-by-step explanation:
PLEASE HELP What is the area of the trapezoid?
Answer:
Step-by-step explanation:
[tex]\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}[/tex]
a and b are the length of the parallel sides.
a = 8 + 4 + 4 = 16 in
b = 8 in
h = height = 6 in
[tex]Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}[/tex]
find two z values so that the middle 65% of the area is bounded by them
Answer: Firstly in this question, we need to solve for
α
which is the part of the distribution of which we not looking for.
we can do this with the sum:
α
=
1
−
0.76
=
0.24
as
0.76
=
76
%
we also know that our Standard Normal Distribution is symmetric, so we must divide that
α
to be split on either side of our distribution. so we solve for:
α
2
=
0.24
2
=
0.12
then we find a correlating
z
-score for the value
0.12
and we get that
−
z
=
−
1.175
and
z
=
1.175
This becomes easier to understand when visualized, so observe how we do this sum.
Step-by-step explanation:
In circle o below, what is the measure of angle x, the angle formed by a tangent and the
diameter of the circle?
[tex]\sf\large\underline\purple{Answer:-}[/tex]
The measure of the angle x = 90°
[tex]\sf\large\underline\blue{Reason:-}[/tex]
Theorem Of Tangent:-
[tex]\rightarrow[/tex]A radius is obtained by joining the centre and the point of tangency. The tangent at a point on a circle is at right angles to this radius.
________________________________
Hope it helps you:)
Have a nice day..
Answer:
The value of angle is 90°
Step-by-step explanation:
Theorem:-
The tangent of a circle is perpendicular to the radius through the point of contactAnd we know , the value of angle formed by perpendicular is 90°
Please help me with this
As the first step, you have to distribute
2x - 12 + 4x + 16 = 40 Now combine the like items
6x + 4 = 40
6x = 36
x = 6
Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin currently has $100 in her account. She plans to add $50 per month. 1. Write a system of equations to represent Diego and Lin’s savings accounts.
The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.
How to write equationlet
x = amount added each monthDiego:
6 months ago = $40
Now = $250
250 = 40 + 6x
250 - 40 = 6x
210 = 6x
x = 210/6
x = $35
Lin:
Now = $100
Future = $50 per month
let
x = number of monthsTotal savings= 100 + 50x
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16. A car's value is declining continuously. The car is currently 3 years old and has a
value of S18000. The car sold for $26,000 brand new. What is the rate of depreciation?
Answer:
I believe your answer is 2666.67
Step-by-step explanation:
26,000-18,000=8,000
8,000/3=2666.6667
I hope this helped :D
What is the area of the figure?
Answer:
88
Step-by-step explanation:
We can divide this into 3 shapes, a square, rectangle, and triangle.
Let's solve the area of each of these shapes and add them all up.
First, let's solve the square.
We know that one side is 4 ft so that means that the other side is also 4ft.
4*4=16
Our area of the square is 16ft^2
Let's solve the rectangle next,
Its length is 12ft and its width is 4ft.
12*4=48
So the rectangle area is 48ft^2
Now for the triangle
Remember that area of a triangle is a=hb/2
Our height is 12 ft and our base is 4ft
12*4=48
48/2=24
Triangle is 24ft^2
That means that we can add them all up
24+48+16=88
88ft^2 or 88
The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3 cm greater than the radius of Circle B. The radius of Circle D is 2 cm less than the radius of Circle C. What is the area of each circle?
Answer:
circle a: 3.14x36= 113.04
circle b: 3.14 x 64 = 200.96
circle c: 3.14 x 121= 379.94
circle d : 3.14 x 81 = 254.34
Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.
and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04
10. Ryan inherited land from his grandfather. He decided to sell the land for $160,000, then place
the money in a new account that earns 1. 2% interest compounded bimonthly. How much
interest will he have earned after 30 years?
The amount of interest Ryan would earn at the end of 30 years given the interest rate is $69,250.27.
What is the interest rate on the new account?When an account earns an interest that is compounded bimonthly, it means that it earns an interest every 2 months.
The formula that can be used to determine the interest earned is:
Future value - amount deposited
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate = 1.2/6m = number of compoundingN = number of yearsFV = 160,000(1.002^180) = $229,250.27
Interest = $229,250.27 - $160,000 = $69,250.27
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A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did Latisha ride?
Answer:
Latisha rode 16 rides
Step-by-step explanation:
Look at picture attached. Have a blessed night!
Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.
Jennifer is looking to lease a car. bob’s auto has a car available with a money factor of 0.00344. aaa auto has the exact same car available with a money factor of 0.00313. which of the following statements is true? a. the lower money factor with bob’s auto will give jennifer the lowest monthly payment. b. the lower money factor with aaa auto will give jennifer the lowest monthly payment. c. the higher money factor with bob’s auto will give jennifer the lowest monthly payment. d. the higher money factor with aaa auto will give jennifer the lowest monthly payment.
Answer:
B. The lower money factor with AAA Auto will give Jennifer the lowest monthly payment
Drag the measurements to the containers to show equal length.
The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.
Hence:
15 yd = 15 yd * 36 in per yd = 540 in
195 ft = 195 ft * 12 in per ft = 2340 in
5280 yd = 5280 yd * 3 ft per yd = 15840 ft
The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft
Find out more on equation at: https://brainly.com/question/2972832
Find the domain over which the function y = x + 6x is monotonic increasing.
Answer:
x > -3
[tex]\sf (-3, \infty)[/tex]
Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
Vertex
Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]
[tex]\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}[/tex]
Given function:
[tex]\sf y=x^2+6x[/tex]
Therefore, x-value of function's vertex:
[tex]\sf \implies x= -\dfrac{6}{2}=-3[/tex]
Final Solution
The function is increasing when x > -3
[tex]\sf (-3, \infty)[/tex]
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:
A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the m
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.
(It is an answer you have to type)
Answer:
distance between moon and sun= y/sin x
Step-by-step explanation:
by use of trigonometric ratios SOHCAHTOA
dat stuff only works on right angled triangles so that is what gave it away
you will use
Sin x= y/distance between moon and Sun
distance between moon and sun= y/sin x
based on my the sketch in my mind hope am right
what is the answer please i need help asap
Answer: a third
Step-by-step explanation: im simply a genius
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL of cherry juice.
How many liters of fruit punch did Wes make?
Answer:
1.2 L
Step-by-step explanation:
3/4 of the bowl was full wes then filled the bowl with 300 ml so 300+300+600=1,200 = 1.2L
Find the volume of a right circular cone that has a height of 13.1 in and a base with a diameter of 5.7 in
Answer:
Step-by-step explanation:
1) Divide the diameter in half to make the radius, which equals 2.85 as r.
2) Plug in the radius(r) and height(h) with the correct numbers.
3) Simply solve
V = π(2.85)² × 13.1 ÷ 3
V= 25.52 × 13.1 ÷ 3
V= 334.312 ÷ 3
V= 111.4373+
V≈ 111.43 1) Divide the diameter in half to make the radius, which equals 2.85 as r.
2) Plug in the radius(r) and height(h) with the correct numbers.
3) Simply solve
V = π(2.85)² × 13.1 ÷ 3
V= 25.52 × 13.1 ÷ 3
V= 334.312 ÷ 3
V= 111.4373+
V≈ 111.43 in^3
Step-by-step explanation:
please mark me as brainlest
If you were writing a two-column proof proving that ANQP APON, which of the following statements would have
"reflexive property of congruence" as its reason?
A. ON ON
B. OP=OP
C. OP=OP
D. NP NP
Answer:
NP NP
Step-by-step explanation:
this is the only solution that works for the question
Question 4 of 10
You have $10.00 and want to buy all of the items below. How much change
will you have left after you make your purchase? Do not include $ in your
answer.
COST
ITEM
Pancake Mix
Eggs
Syrup
$2.18
$2.28
$3.98
PLS HELP!’
Answer: 1.56
Step-by-step explanation:
Add all the cost together, the subtract the ten dollars.
2.18 + 2.28+ 3.98 = 8.44
10.00 - 8.44 = 1.56
Help please I'ma giving alot of points if you say something else just to get the points I will report
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Simplify
1/3 + 4/x-2 = 6
Answer:
1/3+4/x-2=6
Step-by-step explanation:
your is answer 6
A 16 oz box of cereal costs $2.56. How much would a 40 oz box cost?
Answer:
$6.40
Step-by-step explanation:
2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answer:
1,400
Step-by-step explanation:
700 divided by 6 equals 116.66 and 116.66 times 12 is 1,399.92. But you have to round the decimal to make it accurate which you'll get 1,400.
Hope this helps.
if y=5x-3, find the value of y when x=0
Answer: [tex]Y=-3[/tex]
Step-by-step explanation:
[tex]Y=5x-3[/tex]
[tex]Y=5 * (x) -3[/tex]
Then replace x by 0
[tex]Y=5 * (0) -3[/tex] or [tex]Y= 5(0) -3[/tex]
[tex]Y=0 -3[/tex]
[tex]Y=-3[/tex]
please can someone help me answer the question in the picture
Which subtraction equation shows how to subtract
4
2
12
−
2
8
12
using equivalent fractions?
A.
42
12
−
28
12
B.
18
12
−
22
12
C.
50
12
−
32
12
D.
48
12
−
24
12
How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.