A. If ΔABC is reflected across the y-axis, what are the resulting coordinates for points A', B', and C'?
B. Sketch the reflection on the coordinate plane.
Answer:
A' = (-1, 6)
B' = (-2, 1).
C' = (-5, 2).
Step-by-step explanation:
Reflection over the y-axis---> (a, b) transforms to (-a, b).
So A (1, 6) ---> A' (-1, 6).
3. Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earns a base salary of $85 per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?
Answer:
1333.33
Step-by-step explanation:
125 + .18x = 85 + .21x
40 = .03x
x = 1333.33
If QS is the angle bisector of
Help the possible answers for the picture are 25, 49, 175, or 196
Answer:
175[tex]mm^{2}[/tex]
Step-by-step explanation:
Just divide the larger one by 7 because the scaled one is 1/7 the size of the larger one:
1225 ÷ 7 = 175
Pls consider giving me Brainliest! It would mean and help a lot! ; )
Answer:
175
Step-by-step explanation:
Grace, Jessica and Mia went out to dinner after the Volleyball game. Jessica bought two tacos, a coke and a mango smoothie and spent $14.74. Grace bought Mia's dinner. She bought 5 tacos, 2 cokes and 1 mango smoothie and spent $29.05. The mango smoothie cost three times as much as the coke. Determine the price of each item. Answer in a complete sentence.
Answer:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
Step-by-step explanation:
Given
Represent Tacos with T, Coke with C and Mango with M
For Grace:
[tex]2T + C + M = 14.74[/tex] --- (1)
For Mia:
[tex]5T + 2C + M = 29.05[/tex] -- (2)
[tex]M = 3C[/tex]
Required
Determine the cost of each item
Substitute 3C for M in (1) & (2)
[tex]2T + C + M = 14.74[/tex]
[tex]2T + C + 3C = 14.74[/tex]
[tex]2T + 4C = 14.74[/tex] --- (4)
[tex]5T + 2C + M = 29.05[/tex]
[tex]5T + 2C + 3C = 29.05[/tex]
[tex]5T + 5C = 29.05[/tex] --- (5)
Divide through (5) by 5
[tex]T + C = 5.81[/tex]
Solve for C
[tex]C= 5.81 - T[/tex]
Substitute 5.81 - T for C in (4)
[tex]2T + 4C = 14.74[/tex]
[tex]2T + 4(5.81 - T) = 14.74[/tex]
[tex]2T + 23.24 - 4T = 14.74[/tex]
Collect Like Terms
[tex]2T - 4T = 14.74 - 23.24[/tex]
[tex]-2T= -8.5[/tex]
Solve for T
[tex]T = -8.5/-2[/tex]
[tex]T = 4.25[/tex]
Recall that:
[tex]C= 5.81 - T[/tex]
[tex]C = 5.81 - 4.25[/tex]
[tex]C = 1.56[/tex]
Recall that
[tex]M = 3C[/tex]
[tex]M = 3 * 1.56[/tex]
[tex]M = 4.68[/tex]
Hence:
A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25
Which point has the coordinates (-2.5, 5.5)?
A.
point E
B.
point F
C.
point G
D.
point H
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.
Both plans cost the same when 50 texts are sent
Step-by-step explanation:
Let
x ---->the number of texts
y ----> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
we have that
Emilia’s plan (Red line)
The slope is
The y-intercept is
substitute
----> equation A
Hiroto’s plan (Blue line)
The slope is
The y-intercept is
substitute
----> equation B
The solution of the system of equations A and B is the point of intersection both graphs
The intersection point is given
The intersection point is (50,22.5)
That means----> For x=50 texts, the cost is equal in both plans
Verify each statement
case a) Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
Verify
For x=100 texts ----> 100 > 50
Emilia's plans
Hiroto's plans
case b) Both plans cost the same when 22 texts are sent
The statement is false
Because
Both plans cost the same when 50 texts are sent
case c) Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
case d) Both plans cost the same when 50 texts are sent
The statement is true
Answer:
Both plans cost the same when 50 texts are sent.
Step-by-step explanation: Took test edge 2020: D
WILL GIVE BRAINLIEST!!!!
What is the best fit line? How do you draw it?
Answer:
the line of best fit is the line that you would draw in the middle of a scatter plot to try and have the line best represent the scatter plot with the scatter plots angle and direction. this image is an example of one: (ignore the numbers) the line is a best fit line.
Step-by-step explanation:
mr clean
A city has two water towers. One tower holds 4.37 x 106 gallons of water and the other holds 3.92 x 106 gallons of water. What is the combined water capacity of the two towers?
17.13 x 1012 gallons
17.13 x 1012 gallons
1.11 x 100 gallons
1.11 x 100 gallons
8.29 x 106 gallons
8.29 x 106 gallons
.45 x 1012
Answer:
the answer is 1.713 x 106
Step-by-step explanation:
James was making cupcakes for a bake sale. The recipe he had uses 2 eggs for every dozen cupcakes. If James needed to make 18 cupcakes, how many eggs would he use?
Answer:
3 eggs
Step-by-step explanation:
For 12 cupcakes, 2eggs are required.
For 18 cupcakes, 3 eggs are required.
[Use multiplication table of 6, 6*2=12 and 6*3=18]
(u + 9) 10 distributive property
= 10 (u + 9)
= 10 x u + 10 x 9
= 10u + 90
Question 7 (1 point)
Problem 7, part b:
Two angles are similar.
A.
must be true
B.
could possibly be true
C.
definitely can't be true
B. Could possibly be true
Because, who knows? They could be, but they may not be.
The medium sushee has 17 more ounces than the small slushee
The large slushee has 6 times as many ounces than the small slushee
The Slushee Company says there are 113 ounces total in the small, medium, and large drinks
How many ounces are in cach size slushee?
Answer:
A small slushee has 12 ounces.
A medium 29 ounces.
And a large 72 ounces.
Step-by-step explanation:
Let s represent the size of the small slushee, m the medium slushee, and l the large slushee.
We know that the medium slushee has 17 more ounces than the small slushee. So:
[tex]m=s+17[/tex]
We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:
[tex]l=6s[/tex]
Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:
[tex]s+m+l=113[/tex]
We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:
[tex]s+(s+17)+(6s)=113[/tex]
Combine like terms:
[tex]8s+17=113[/tex]
Subtract 17 from both sides:
[tex]8s=96[/tex]
Divide both sides by 8:
[tex]s=12\text{ oz}[/tex]
So, the small slushee is 12 ounces.
So, the medium slushee is [tex]12+17=29\text{ oz}[/tex]
And the large slushee is [tex]6(12)=72\text{ oz}[/tex]
And we're done!
Out of 28 people, 12 adults attended a play. What is the ratio of children to attendees
Answer: 7:3 is the ratio of the problem
Step-by-step explanation:
Explain why a + b = d.
Answer:
lets just say a is 1 and b is 2 after adding them 3 which means c will form and after 3 four will come which means d
a + b = c because the sum of the measure of angle a and angle b is equal to the measure of angle c.
What is a triangle?A triangle is a closed plane figure formed by joining three noncolinear points. According to side property, there are three types of triangles isosceles triangles, equilateral triangles, and scalene triangles.
We know the measure of an exterior angle of a triangle is the sum of the two opposite interior angles of the given triangle.
As we can observe from the given diagram that ∠a, ∠b and ∠c are the interior angles of the given triangle ABC, and ∠d is the exterior angle which is opposite to ∠a and ∠b.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ5
A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?
The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.
To calculate the time the person must leave the money in the bank until the money reaches 13200 dollars, we use the formula of compound interest below.
What is compound interest?This is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
Formula:
A = P(1 + r/100)ⁿ................ Equation 1Where:
A = AmountP = Principler = Raten = Time.From the question,
Given:
P = 7000 dollarsr = 5.5% componded monthlyA = 13200 dollarsSubstitute these values into equation 1 and solve for n
13200 = 7000(1+(5.5×12)/100)ⁿ(1+(5.5×12)/100)ⁿ = 13200/7000( 1.66)ⁿ = 1.886n = 2.9 yearsHence, The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.
Learn more about compound interest here: brainly.com/question/18456266
2 quarter’s=. Pints
Help
Answer:
2 quarts= 4 pints
Step-by-step explanation:
multiply the volume value by 2
X + 2x - 9 + xy - 2 - 3x + 2xy - 4
Answer:
3xy-15 thats the simplified form
52 is 13% of what number?
Answer: 52 is 13% of 400
Hope this helps!
Answer:
Step-by-step explanation:
the answer is 400
To solve this problem you multiply 52 by 100 and then divide the total by 13 as follows: (52 x 100) / 13
At his yearly checkup,John was 68 inches tall. What is another way yo express 68 inches
When soling a system of liner equations, try to algebraically form one equation that has only one variable
Answer:
Yes
Step-by-step explanation:
It helps you to understand the equation easily
HOPE IT HELPED
In a recent year, the annual salary of the governor of new York was $179,00. During the same year, the annual salary of the governor of Tennessee was $94,000 less. Write and solve an equation to find the annual salary of the governor of Tennessee (y) in that year.
Answer:
$85,000
Step-by-step explanation:
Given that, the annual salary of the governor of New York was $179,000.
Let $y be the annual salary of the governor of Tennesse during the same year.
As the annual salary of the governor of Tennessee was $94,000 less than the annual salary of the governor of New York.
So, the annual salary of the governor of Tennesse,
[tex]y=179000-94000[/tex]
[tex]\Rightarrow y=85000[/tex]
Hence, the annual salary of the governor of Tennesse during the same year was $85,000.
What is the approximate length of the diameter, d? Use 3. 14 for. Round to the nearest tenth of a centimeter. 4. 0 centimeters 8. 0 centimeters 15. 9 centimeters 31. 8 centimeters.
Simplify 3+4y-y(9-2y)+5
Answer:
2y^2-5y+8
Step-by-step explanation:
that the answer :)
Answer:
2y2−5y+ 8
Step-by-step explanation:
1, 3, 7, 15, 31, .
What is the pattern
Answer:
Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.
plz halp muh wit my mathy math
Answer:
( -1/2) ^5
Step-by-step explanation:
We know that a^b* a^c = a^(b+c)
( -1/2) ^ 3 * ( -1/2) ^2
( -1/2) ^ (3+2)
( -1/2) ^5
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex] {( \frac{ - 1}{2}) }^{3} × {( \frac{ - 1}{2}) }^{2} \\
=>{( \frac{ - 1}{2}) }^{(3+2)}\\
=>{( \frac{ - 1}{2}) }^{5}\\
=> \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \\
=> \frac{ - 1}{32} [/tex]
[tex]{\huge{\pink{\underline{\underline{Formula\ used:}}}}}[/tex]
[tex]{a}^{x}×{a}^{y}={a}^{x+y}[/tex]Please help this is the 3rd time posting this today. Awarding 30 points.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
−−→
DF
bisects
∠EDG
. Find FG. The diagram is not to scale.
"FG = 14 is the answer
The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.
This implies that:
n + 9 = 4n - 6
Collect like terms
n - 4n = -9 - 6
-3n = -15
Divide both sides by -3
n = -15/-3
n = 5
✔️FG = 4n - 6
Plug in the value of n
FG = 4(5) - 6
FG = 20 - 6 = 14"
how to find perimeter of a rectangle if width is 2200m and length is 1.25km
Thanks
Answer:
6.90kmStep-by-step explanation:
width=2200m
length=1.25km
=1250m
perimeter of rectangle= 2(l+b)
=2(2200+1250)
=2×3450
=6900m
or 6.90km
Hope it will help.....Write the equation for a parabola with a focus at (1,2)(1,2)left parenthesis, 1, comma, 2, right parenthesis and a directrix at y=6y=6y, equals, 6.
y=
Answer:
y = -1/8(x -1)² +4
Step-by-step explanation:
The equation of a parabola can be written from focus and directrix using the form ...
y = 1/(4p)(x -h)² +k
where p is the distance from vertex to focus, and (h, k) is the vertex.
The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...
p = (2 -6)/2 = -4/2 = -2
The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...
(h, k) = ((1, 2) +(1, 6))/2 = (1, 4)
__
Using these values of p and (h, k), we find the equation of the parabola to be ...
y = 1/(4(-2))(x -1)² +4
y = -1/8(x -1)² +4
_____
Additional comment
You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.
Answer:
y=-1/8(x-1)^2 +4
Step-by-step explanation:
Mr. and Mrs. Sanchez want to invest money for their
child's college education. They have decided to invest
$2000 initially. If the investment is in an account that
earns 8% annual interest, compounded yearly for 10
years, how much will their investment be worth at the
end of the 10th year? (Hint: $2000 is ao, think about a
as the value of the account at end of the 1st year.)
The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 8% per year compounded 1 times per year over 10 years is $4,317.85.
Given Data
Initial Amount = $2000
Annual interest rate = 8%
Time = 10 years
A = P + I where
P (principal) = $2,000.00
I (interest) = $2,317.85
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 2,000.00(1 + 0.08/1)(1)(10)
A = 2,000.00(1 + 0.08)(10)
A = $4,317.85
Learn more about compound interest here:
https://brainly.com/question/24924853