Answer:
x=29
Step-by-step explanation:
1x-19=10
1x=29
a) For AQRS use the Triangle Proportionality Theorem to solve for x.
b) After you have solved for x, what is the Perimeter of AQRS?
Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:
[tex] \frac{2x - 2}{13} = \frac{21 - 7}{7} [/tex]
[tex] \frac{2x - 2}{13} = \frac{14}{7} [/tex]
[tex] \frac{2x - 2}{13} = 2 [/tex]
Cross multiply
[tex] 2x - 2 = 2(13) [/tex]
[tex] 2x - 2 = 26 [/tex]
Add 2 to both sides
[tex] 2x = 26 + 2 [/tex]
[tex] 2x = 28 [/tex]
Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77
A triangle with coordinates (1, 1), B(4, 2). C1(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle?
Your answer should be B.
Explanation: Moving left or right affects the x coordinate, and moving up or down affects the y coordinate.
Moving 3 units down: A(1, 1 - 3), B(4, 2 - 3), C(3, 5 - 3) = (1, -2), (4, -1), (3, 2)
Moving 5 units to the left: A(1 - 5, -2), B(4 - 5, -1), C(3 - 5, 2) = A(-4, -2), B(-1, -1), C(-2, 2)
(Sorry I said A, earlier.)
Midpoint rule with given value
9514 1404 393
Answer:
M₅ = 1.6570
Step-by-step explanation:
The basic idea is to find the function values at x ∈ {1.1, 1.3, 1.5, 1.7, 1.9}, add those values, and multiply the result by 1/5. Those x-values are the midpoints of intervals 0.2 units wide, between x = 1 and x = 2. The width 0.2 is the total interval width (2-1=1) divided by n = 5.
The calculation and results are shown in the attachment. Rounded to 4 decimal places, the integral is ...
M₅ = 1.6570
__
The actual integral is about 1.6574, so this is pretty close.
James can buy 12muffins for $9.60 or 3 muffins for $2.70. Which is the better deal?
Answer:
12 muffins for $9.60
Step-by-step explanation:
What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26,
Answer:
They get greater, obviously and they never lessen
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The common difference is was is being added with each number
For example-
8 - 2 = 6
14 - 8 = 6
And so on, Therefore-
Common difference is 6
At the beginning of the year Monica puts a set amount of money into her health benefit account. Every month she withdraws $15 from this account for her contact lenses. After 3 months she has $255 left in her account.
Write an equation in slope-intercept form to represent the relationship between the time that has passed and the amount of money left in Monica's account. Let x represent the time in months and y represent the amount of money remaining in the account.
Answer:
An equation in the slope-intercept form will be:
y = 15x+210Step-by-step explanation:
We know The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptLet x represent the time in months
Let y represent the amount of money remaining in the account.
Given that every month Monica withdraws $15 from this account for her contact lenses
Thus, the rate of change or slope = m = 15
Given that after 3 months she has $255 left in her account.
So, we take the point (3, 255)
substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept
y = mx+b
255 = 15(3) + b
switch sides
15(3) + b = 255
45 + b = 255
b = 255 - 45
b = 210
Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation
y = mx+b
y = 15x+210
Therefore, an equation in the slope-intercept form will be:
y = 15x+210express each ratio as a fraction in simplest form .3km to 500m
The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance
This question is incomplete, the complete question is;
Suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows;
Number of breakdowns prob.
0 0.50
1 0.25
2 0.10
3 0.10
4 0.05
The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance
Answer:
the firm will be $100 worse off per month if it adopted preventive maintenance.
Step-by-step explanation:
Given the data in the question;
the probability of breakdown iwill be;
= (0×0.5) + (1×0.25) + (2×0.10) + (3×0.10) +(4×0.05)
= 0 + 0.25 + 0.2 + 0.3 + 0.2 = 0.95 or 95%
Now the cost of machine failure will be;
⇒ 2000 × 0.95= $1900
if they implemented preventive measures, the cost is $2000,
if the preventive measure taken the cost is $2000, the benefit is for $1900, and the output is additional cost of $100.
Therefore the firm will be $100 worse off per month if it adopted preventive maintenance.
1. Solve 2/3 X 4/5
a.2/3
b.8/15
c.2/15
d.6/8
Answer:
Step-by-step explanation:
2/3 x 4/5 multiply the terms
8/15
What is the best estimate for the liquid volume of a small cartoon of milk
Answer:
Answer: 2 ml
Step-by-step explanation:
1 litre is equal to 1,000 ml, and therefore the best solution is 2 ml.
IN NEED OF HELP PLEASE
Answer:
yes b aas
Step-by-step explanation:
Find ex and Y to the quadrilateral is a parallelogram.
Which of the following describes a situation in which a baseball player ends up 0 m from his starting point? The player runs 4 meters forward and then runs 3 meters in the opposite direction The player runs 3 meters forward and then runs 3 meters in the opposite direction The player runs 3 meters forward and then runs 4 meters in the opposite direction The player runs 3 meters forward and then runs 0 meters in the opposite direction
Answer:
3 meters forward then three in the opposite direction
Step-by-step explanation:
very easy need by morning answer please
Answer:
-9
Step-by-step explanation:
any helllp please
i neeed help pleasee
If the odds of winning the prize is 1 : 53 and If I purchased 84 tickets what are the odds of winning in percentage. Step by step?
Answer:
79.81% probability of winning.
Step-by-step explanation:
For each ticket, there are only two possible outcomes. Either you win, or you do not. The probability of winning in a ticket is independent of other tickets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The odds of winning the prize is 1 : 53
This means that [tex]p = \frac{1}{53}[/tex]
If I purchased 84 tickets what are the odds of winning in percentage.
To win, at least one of the tickets must have the prize, of 84 tickets, so [tex]n = 84[/tex].
We have to find [tex]P(X \geq 0)[/tex], which is given by:
[tex]P(X \geq 0) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = 0) = C_{84,0}.(\frac{1}{53})^{0}.(\frac{52}{53})^{84} = 0.2019[/tex]
[tex]P(X \geq 0) = 1 - P(X = 0) = 1 - 0.2019 = 0.7981[/tex]
79.81% probability of winning.
NEED HELP ASAP
Select the correct answer.
4
X
-4
2
-2
Which of the following inequalities is graphed on the coordinate plane?
O A. y > -21 + 1
OB. y -23 + 1
OC. y < -25 + 1
OD. y < -23 + 1
Answer: D. y ≤ -2x = 1
Step-by-step explanation: To determine the inequality, first determine the line equation.
Line equation can be written as
[tex]y-y_{0}=m(x-x_{0})[/tex] , called point-slope form of a line equation,
where
m is slope of the equation
x₀ and y₀ are points in the line
Slope is calculated as the difference between y-coordinates divided by the difference between the x-coordinates:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
From the graph, we have 2 points: (-1,3) and (1,-1), so find slope:
[tex]m=\frac{3+1}{-1-1}[/tex]
m = -2
Replacing slope and point (0,1) into point-slope form:
[tex]y-1=-2(x-0)[/tex]
[tex]y=-2x+1[/tex]
This is the equation of the line.
Now, we determine the inequality:
Observe the graph, if the line is a continuous one, it is a less-than-or-equal-to (≤) or more-than-or-equal-to (≥). If it was a dotted line, the symbol would be less-than (<) or more-than (>).
In our case, the line is continuous so it will be ≥ or ≤. To determine which one, we can plug a point located in the shaded part, for example (0,0). Substituting:
y = -2x + 1
0 ≠ -2(0) + 1
0 ≤ 1
Therefore, line equation of the graph is [tex]y\leq -2x+1[/tex].
Write an equivalent equation by combining like terms.
6a + 5 + 2a - 4
Which expression is equivalent to the given expression?
13x−29x
Please i need an answer fast
(5y-12)+(-5y-1) find the sum
Step-by-step explanation:
Given
(5y - 12 ) + ( -5y - 1)
= 5y - 12 - 5y - 1
= 5y - 5y - 13
= - 13
Hope it will help):)❤
The coordinates of the vertices of a polygon are shown on the grid below.
On a coordinate plane, point A is at (negative 2, 3), point B is at (negative 2, negative 3), point C is at (4, negative 3), and point D is at (4, 3).
If the points are connected, how many sides will this polygon have?
Answer:
It's obviously 4 sides.
Step-by-step explanation:
If you count it, point A, point B, point C, point D, those adds up to 4..
can i have brainliest??
Answer:
4
Step-by-step explanation:
Quadrilateral ABCD has the following vertices:
A(-6, -2)
B(-4,4)
C(8,1)
D(6, -6)
Also, ZA is a right angle.
Is quadrilateral ABCD a rectangle, and why?
answers: (ignore the chosen one)
Answer:
It b
Step-by-step explanation:
All 3 sides of the shape is parallel as well as A so therefore is b
Answer:
No, because AB is not parallel to CD
Determine the value of y that maintains the congruence of the figures.
Answer:
We conclude that the value of y = 11 cm.
Step-by-step explanation:
Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.
Thus,
The length of DQ = The length of EL
Given
The length of DQ = 3y - 1
The length of EL = 32 cm
so
The length of DQ = The length of EL
3y - 1 = 32
Adding 1 to both sides
3y - 1 + 1 = 32+1
3y = 33
Dividing both sides by 3
3y/3 = 33/3
y = 11
Thus, the value of y = 11 cm
Therefore, we conclude that the value of y = 11 cm.
How do I solve for x?
Answer:
Step-by-step explanation:
determinant= (-1/2*10)-(-2*x)=25
-5-(-2x)=25
-5+2x=25
2x=30
x=30/2=15
Sam used algebra tiles to make this model of an equation. Based on Sam's equation what statement is true.
Answer:
(B)
Step-by-step explanation:
Let us denote rectangular tiles by R and square tile by S, then
According to figure.
3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles
∴3R+2S+2R=2R+4S+R+4S
⇒5R+2S=3R+8S
⇒5R-3R=8S-2S
⇒2R=6S
⇒R=3S
Hence, 0ne rectangle =3 square
Aaron bought flowers for his mother. The flowers were half off the original price. He paid $1.12 in sales tax. If he paid a total of $15.57, what was the original price of the flowers?
Answer:
$7.225
Step-by-step explanation:
Answer:
D) 28.90
Step-by-step explanation:
28.90 divided by 2 = 14.45 + 1.12 (sales tax) = 15.15 (which was the price he had paid)
5) Out of a group of 40 students, 14 are taking English, 29 are taking Chemistry, and 5 are
taking both English and Chemistry.
a) Draw a Venn diagram to represent this situation.
b) How many students are in neither class?
c) What is the probability that a randomly-chosen student from this group is taking only
the Chemistry class?
a. Venn diagram attached below.
b. 2 students are in neither English nor Chemistry.
c. The probability that a randomly chosen student is only taking chemistry is 24/40, or 6/10 because out of the 40 students, 24 of them take exclusively the chemistry class.
Write the equation in standard form
using factoring.
f(x) = (2x
+
1)(x – 4)
Answer:
2x^2 - 7x - 4
Step-by-step explanation:
Given the expression f(x) = (2x+1)(x – 4)
To write it in standard form, we need to factorize it
(2x+1)(x – 4)
= 2x(x) - 2x(4) + x - 4
= 2x^2 - 8x + x - 4
= 2x^2 - 7x - 4
hence the expression in standard form is 2x^2 - 7x - 4
Darius buys a bottle of a chemical solution that contains 70% alcohol. The bottle contains 500 milliliters of solution.
How many milliliters of alcohol are in the solution?
Answer:
350 ml
Step-by-step explanation:
70% of 500 ml = 0.7*500 ml = 350 ml
Answer:
350 ml
Step-by-step explanation:
70% of 500 ml = 0.7*500 ml = 350 ml
A car’s engine spins at 1500 RPM. What is the frequency of the rotating engine? Uh sos pls im clueless
Here's your answer,
Answer:
1500÷2
750