Answer:
x=30
Step-by-step explanation:
Hi there!
For A to be parallel to B, 5x would be equal to 3x+60. (If they were parallel, these two angles would be alternate exterior angles, which are equal.)
[tex]5x=3x+60[/tex]
Subtract 3x from both sides
[tex]5x-3x=3x+60-3x\\2x=60[/tex]
Divide both sides by 2
[tex]x=30[/tex]
I hope this helps!
Does the graph of the straight line with slope of -3 and y-intercept of -4 pass through the point (-2, 2)?
Answer:
abcdefghijklmnopqrstuvwxyz
Answer:
yes
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 and c = - 4 , then
y = - 3x - 4 ← is the equation of the line
To determine if (- 2, 2) lies on the line, substitute x = - 2 into the equation and if y equals 2 then the point lies on the line.
y = - 3(- 2) - 4 = 6 - 4 = 2 ← true
Then the line passes through (- 2, 2 )
Barry has 17 more than two-thirds of the number of cards in his brother's baseball card collection. If x represents the number of baseball cards his brother has, which expression represents the number of baseball cards Barry has? Two-thirds x minus 17 Two-thirds x + 17 17 x minus two-thirds 17 x + two-thirds
Answer:
B. Two-thirds x + 17
Step-by-step explanation:
Let
x = number of baseball cards his brother has
two-thirds of the number of cards in his brother's baseball card collection = 2/3x
Barry = 2/3x + 17
A. Two-thirds x minus 17
= 2/3x - 17
B. Two-thirds x + 17
= 2/3x + 17
C. 17 x minus two-thirds
= 17x - 2/3
D. 17 x + two-thirds
= 17x + 2/3
The correct answer is
B. Two-thirds x + 17
Answer:
It's B
Step-by-step explanation:
I got a 100 on my test
You received your first credit card with a spending limit of $2,000 at 18.9% interest. You decide you need to upgrade your sound system in your car, so you are going to buy this great deal. The next month you receive your credit card statement and you now owe $2,000. You are able to pay the minimum payment of $100 each month. If you continue paying only $100 each month, how long will it take you to pay off your credit card debt?
Answer:
It will take approximately 25 months
Step-by-step explanation:
The amount owed on the credit card statement, P = $2,000
The interest rate of the credit on the credit card, r = 18.9%
The minimum monthly payment made, M = $100
The equal monthly installment formula is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Therefore, we get;
[tex]100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}[/tex]
100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ
100×1.01575ⁿ - 31.50×1.01575ⁿ = 100
68.5×1.01575ⁿ = 100
1.01575ⁿ = 100/68.5
n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)
Therefore, it will take approximately 25 months to pay off the credit card debt
Help multiple choice
Answer:
the first one
Step-by-step explanation:
Solve for xx. Round to the nearest tenth, if necessary.
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{x}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
Find x
Help me please
I'll give you 13 points if it's correct
If line n bisects CE, find CD.
If it bisect, then using the Line Bisector Theorem, it must be equal.
So x+6=4x-21
get like terms on 1 side
x+6=4x-21
-x. +21
27= 3x
x=9
plug the x in
CD= 9+6
CD=15
The value of CD such that line n is bisecting line segment CE is 15.
What is a line segment?A line section that can connect two places is referred to as a segment.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that line, n is bisecting the line segment CE at D
CD = DE
Given CD = x + 6 and DE = 4x - 21
x + 6 = 4x - 21
4x - 21 = x + 6
4x - x = 6 + 21
3x = 27
x = 9
Therefore CD = 9 + 6 = 15
Hence "The value of CD such that line n is bisecting line segment CE is 15".
For more about line segments,
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PLS HELP I WILL GIVE BRANLIEST JUST PLS QUICKK
Charles has five 1 pound bags of different color sands. For an art project, he will use 3/8 pounds of each bag of sand to create a colorful sand art jar. How much sand will be in Charles's sand art jar?
Please attach a photo of your solution
Answer:
0.000081
=8.1x10-⁵
0.0000386
=3.86x10-⁵
see in picture
If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?
Answer: 40
Step-by-step explanation:
If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts we have
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that 20 lemons are cut by half.
cut half of these halves by half.
We need to find how many lemon parts will you have.
Let us consider a lemon whic is 1
Now let us make it half 1/1/2=2
Now each part is divided to half =2/(1/2)=4
So for one lemon it has 4 parts.
Now let us find for 20 lemons.
Multiply 20 with 4
20×4
80 parts
Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts will you have
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there are 260,000 45-years Based on the table below how many are not expected to be alive in a year
Answer:
117,000
Step-by-step explanation:
45% of 260,000
= 9/20 of 260000
= 260000/20 =13000
= 13000*9
= 117,000
So the amount of people who are not alive is 117000
The expected number of 45-year old people in Apex Ville expected to not be alive in one year is 819.
What is Expected value in Statistic?The expected value of a discrete random variable X, denoted as E(X), is also known as the long-term average or mean (denoted as ). This means that if you repeat an experiment over and over, you can expect this average.
The projected number of 45-year-olds in Apexville who will die in one year is calculated by multiplying the proportion of individuals who are predicted to die by the number of 45-year-olds, which is 260,000.
According to the table at the end of the answer, the proportion of 45-year-olds who are not anticipated to live another year is:
= 315/100,000.
So, the expected number of deaths in the year is
E(X) = 260,000 x 315/100,000
E(X) = 2.6 x 315
E(X) = 819.
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What is the answer to this question
Answer:
24 [tex]m^{2}[/tex]
Step-by-step explanation:
Area of parallelograms is :
A = b x h
The height must be a line perpendicular to the base.
The slant measuring 5 is not perpendicular to the base.
A = 6 x 4
A = 24
A bus leaves Riverside for Springfield and averages only 48 mph. Ten minutes later Smith leaves Riverside for Springfield traveling 64 mph in his car. How long before he overtakes the bus?
Answer:
pls give brainliest even if u dont want to. it will make u better person. when u give brainliest it makes u 3 times smarter
Step-by-step explanation:
Smith overtakes the bus at (2/3)×60=40 minutes
What is speed?
A body is said to have speed v if he travels v distance in unit time.
How to solve it?Suppose that Smith overtakes the bus at a time 't'. Then the distance traveled by bus is 48×t m and that by Smith is 64×(t-1/6).
Smith needs t-1/6 hours to reach the same position that the bus is in.
Since Smith leaves ten minutes later hence it takes t-1/6 hours for him to overtake the bus.
Because 10 minutes is equal to 10/60=1/6 hour.
So,
48×t=64×(t-1/6)
⇒t=2/3
Hence, Smith overtakes the bus at (2/3)×60=40 minutes
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I need help pls !!!!!!!
In a class of 55 students, 15 students like Math but not English and 18 students liked English but not Math. If 5 students did not like both, how many students liked both subjects? Represent the above information in a Venn-diagram.
A) { -3 , -1 , 1, 3 , 6 }
B) { 3, -1 , 2, 0, -2}
C) all real numbers
D) {3,-2,-1,0,1,2,3,4,5,6,7,8}
The surface area of the cube shown
Tzar Bomba
(Soviet)
15
Trinity
Bravo
Hiroshima
10 -
Mike
Bunker Buster
Illustration From October 2002
Issue of Popular Mechanics" (pg. 69)
Determine the following about the graph:
• Is the graph misleading?
수
.
Does the graph have missing or inaccurate titles, labels, or keys?
e
Does the vertical axis start at 0?
.
Are images used instead of bars?
.
Is the perspective or orientation misleading?
Answer:
Below
Step-by-step explanation:
1. Potentially, yes. The display of the smaller bombs in the "magnifying glass" display can be very misleading.
2. Yes - the vertical axis labels the tonnage of the nuclear blast while displaying the height of each mushroom cloud.
3. Maybe? While the first number displayed in the vertical axis is 5 (Mt), it is most likely that the 0 is unlabeled rather than non-existent.
4. Yes - images of the mushroom cloud produced by each bomb.
5. Absolutely - the larger display of the smaller bombs can create major conflict in understanding the size of each.
Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve dollars less than double that amount. How much does Vanessa spend on rent?
2 * $87 - $12 = R
2R = $87 + $12
2R - $12 = $87
2($87) - 2($12) = R
Answer:
2 * $87 - $12 = R
Step-by-step explanation:
Let R represent the cost of Vanessa's rent.
Vanessa spent $87.00 on entertainment for the week.
Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become
R = 2(87) - 12
R =
R = 174 - 12
The correct option is
2 * $87 - $12 = R
The following figures are not drawn to scale but AB and CD are straight lines. Find x:
Answer:
180=170+4x
180-170=4x
10=4x
2.5=x
Help please I’m so lost on this. I really need help. I can’t get any of the questions ):
Answer:
35 miles
Step-by-step explanation:
You add all of the miles on the chart up to get a final answer of 35 miles. Have a great day!
Hi, may someone help me with this question? Thank you!:)
“If f(x) = x^2 + 7, find f(x+2)”
Answer:
=x^2 +4x+11
Step-by-step explanation:
f(x) = x^2 + 7,
Replace x with x+2
f(x+2) = (x+2)^2 + 7
= (x+2)(x+2) +7
FOIL
= x^2 +2x+2x+4 +7
Combine like terms
=x^2 +4x+11
Answer:
[tex]f(x+2)=x^2+4x+11[/tex]
Step-by-step explanation:
In [tex]f(x)=x^2+7[/tex], for all values of [tex]x[/tex], we substitute [tex]x[/tex] (what is in the parentheses) into [tex]x^2+7[/tex] to output a [tex]y[/tex] value.
In [tex]f(x+2)[/tex], the term [tex](x+2)[/tex] is in the parentheses. Therefore, substitute [tex](x+2)[/tex] for [tex]x[/tex] in [tex]x^2+7[/tex] to find [tex]f(x+2)[/tex]:
[tex]f(x+2)=(x+2)^2+7[/tex]
Expand using [tex](a+b)^2=a^2+2ab+b^2[/tex],
[tex]f(x+2)=x^2+4x+4+7[/tex]
Combine like terms:
[tex]\boxed{f(x+2)=x^2+4x+11}[/tex]
what is the measure of 4?
Answer:
11x + 8 = 12x - 4
x=12
∠ 4 = 180-140 = 40°
Step-by-step explanation:
3x-4y=-24
Identify the x- and y-intercept of the graph of each question
Answer:
x = -8 and y = 6
Step-by-step explanation:
3x - 4y = -24
Solve for y - intercept
3x - 4y = -24
To find y intercept , substitute x = 0
3 × 0 - 4y = -24
Any expression multiplied by 0 equals 0.
0 - 4y = -24
-4y = -24
Divide both sides by -4
-4y / -4 = -24/-4
y = 6
Similarly, Solve for x-intercept
3x - 4y = -24
To find x- intercept , susbtitute y = 0
3x - 4 × 0 = -24
Any expression multiplied by 0 equals 0.
3x - 0 = -24
3x = -24
Divide both sides by 3
3x / 3 = -24 / 3
x = -8
Therefore, y = 6 and x = -8
77/15 as a mixed number
Answer:
5 2/15
Step-by-step explanation:
Answer:
5 [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
A mixed number consists of a whole number and a proper fraction (meaning the numerator is less than the denominator).
To get a mixed number, we are going to divide 77/15 using long division:
(I attached an image down below for you to understand better)
15 goes into 77 only 5 times with a remainder of 2.
So our whole number is 5
And the remainder of 2 become of the numerator of our proper fraction, with 15 being our denominator.
So your answer is 5 [tex]\frac{2}{15}[/tex]
Hope it helps (●'◡'●)
A7. Charlie sells wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
1.
Answer:
21
Step-by-step explanation:
(7x2)+(1.5x2)+(2x2)
pls help w explanation!!!
At her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout. Last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?
Answer:
The possible values of W are 5, 6, and 7.
Step-by-step explanation:
Since at her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout, and last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobics workouts and W weight-lifting workouts, to determine what is one possible value of W the following calculation must be performed:
190 - (3 x 30) = X
190 - 90 = X
100 = X
100/2 = 5
140/2 = 7
Therefore, the possible values of W are 5, 6, and 7.
A man drove 60 km at 30 km/h, 60 km at 40 km/h and 60 km at 50 km/h. What was his average speed for the whole journey?
Answer:
the above answer help you guy.
h
,
What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24
Answer:
21x^7y^11.
Step-by-step explanation:
:D
The equation of a line is 2(y + 1) = 10x + 3.
The y-intercept of the line is
, and the slope of the line is
Answer:
y intercept is (0,-0.5) and the slope is 5.
Step-by-step explanation:
Let's rewrite the equation in slope intercept form.
Step 1: divide both sides by two:
[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]
Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]
Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]
[tex]y=\frac{10x+3}{2}-1[/tex]
[tex]y = 5x - \frac{1}{2}[/tex]