Answer:
$2.14
Step-by-step explanation:
x = price
24x+(x+16) = 53.5
25x+16 = 53.5
25x+53.5
x=53.5/25=2.14
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answer:
E. Definition of Supplementary Angles
Step-by-step explanation:
Doug's Pizza Shop sells pizza for $12plus $3per topping "t". Jake'sPizza Shop sells pizza for $17plus $2per topping "t". Write an equation that willtell you how many toppings need to be on a pizza from each pizza place to make their pizza the same price.
Answer:
5 toppings
Step-by-step explanation:
Given that :
Doug's pizza:
Sales price of pizza :$12 plus
Topping (t) = $3 per topping
Jake's pizza:
Sales price of pizza :$17 plus
Topping (t) = $2 per topping
To make their pizza the same price, how many topping needs to be on a pizza of each
12 + 3t = 17 + 2t
3t - 2t = 17 - 12
t = 5
5 toppings each
y=3x-5 identify y intercept within equation
Answer: -5
Step-by-step explanation: alrite so when u graph it, the line crosses -5 on the y axis
Answer: -5
Step-by-step explanation:
When written in slope intercept form, which is y=Mx+b, b is the y intercept so in this case it would be -5
I cannot figure out how to solve this, we did not cover it in class today and it is on tonights homework.
Answer:
x = 32.5
y = 65
Step-by-step explanation:
y = 65 degrees
65 and y are the base angles in an isosceles triangle ( single lines) so they are equal
y+z = 180 since they form a straight line
65+z = 180
z = 180-65
z = 115
The second triangle is also an isosceles triangle so the base angles are the same as shown by x
180 = x+x+z
180 =2x+ 115
65 = 2x
Divide by 2
x = 32.5
What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answer:
y = x + 2
Step-by-step explanation:
(WILL MARK BRAINLIEST)
The graph of f(x) = 2 + 3 is translated to produce
the graph of g(x) = (x + 2)+ 3. In which direction
was the graph of f translated?
A. up
B. down
C. left
D. right
Answer:
down
Step-by-step explanation:
What is the range of the function
graphed below?
(3,3)
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?
Answer:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Step-by-step explanation:
Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.
Since each section of fencing is 1-foot long, both x and y must be integer numbers.
The perimeter of the rectangular space is calculated as:
P = 2x + 2y
And we know she uses all 30 sections of fencing, thus:
2x + 2y = 30, where x, y are integers and positive.
Simplifying by 2:
x + y = 15
Solve for x:
x = 15 - y
This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.
Another valid option is for y=2, x=13
Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.
Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.
The area of a rectangle is
[tex]A=x\cdot y[/tex]
Testing some possible arrangements:
y=1, x=14
[tex]A=1\cdot 14= 14 ft^2[/tex]
y=2, x=13
[tex]A=2\cdot 13= 26 ft^2[/tex]
y=3, x=12
[tex]A=3\cdot 12= 36 ft^2[/tex]
We can notice the combination y=7, x=8 has an area of:
[tex]A=7\cdot 8= 56 ft^2[/tex]
This is the largest possible area of all combinations, thus:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!!! 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:
a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color
Answer:Well the first one is 60
Step-by-step explanation:6!/3!2!=60 thats all i got
Answer:
60 for the first one
Step-by-step explanation:
-13 = r/9 + 8
r =
r equals what
-5=r/9
-45=r
Step-by-step explanation:
you're just trying to get the r alone. so you have to subtract the 8 and multiply the nine. you're just reversing the problem.
Lines Project Journal
need help for number 3
Answer:
Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.
Example:
Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).
First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.
We have: |-2-(-7)| = |5| = 5.
Then repeat with the y-coordinates.
We have: |8-(-5)| = |13| = 13.
NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.
Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:
[tex]5^{2}[/tex] + [tex]13^{2}[/tex] = 25 + 169 = 194
Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:
[tex]\sqrt(194)[/tex] = 13.93
By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.
The general formula for distance between two points is the following: [tex]\sqrt{x^2+y^{2}[/tex] , where x and y are the change in x and y between the two points.
A and \angle B∠B are supplementary angles. If m\angle A=(5x-19)^{\circ}∠A=(5x−19)
∘
and m\angle B=(2x+10)^{\circ}∠B=(2x+10)
∘
, then find the measure of \angle B∠B.
Answer: 52
Step-by-step explanation:
4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.
Subtract 4x from both sides and get:
8=1x -3
Add 3 to both sides:
11= 1x
if x =11, plug that in to angle A.
4x+ 8 becomes 4(11)+8 =
44+ 8=
52
A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost price = $5 per T - shirt
Markup = 150% or cost price
Every month which shirt doesn't sell, selling price drops by 25%
Selling price of Tshirt = (150% * $5) = $7.5
Price after 1 month = (100% - 25%) * $7.5 = $5.625
Hence, the equation could be expressed as :
Price after one month:
(1.5 * $5) - 0.75 * (1.5 * $5)
7.5 - 0.75(7.5)
Answer:
($5)(2.50) – ($5)(2.50)(0.25)
Pls help ASAP for BRAINLIEST
Answer:
-5
Step-by-step explanation:
h(-2)=3(-2)+1
= -6+1
= -5
hope this help you!! :))))))
Figure out what x and y are. Please explain well!
Answer:
(2y+50)+(7x-248)=180 (solve for x and y) supplementary angles add up to 180 and these two angles are supplementary complements
(5y-17) + (x+44) = 180 (solve for x and y)
Step-by-step explanation:
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
Jason and Henry go to the movie theater and purchase refreshments for their friends. Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn. Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of popcorn, to the nearest cent.
Answer:
The cost of one drink is $5
Step-by-step explanation:
3x-120x=82.50-667.5
120x-3x=667.50-82.50
117x=585
x=5
Please answer this question
Answer:
she is running at a constant speed
Step-by-step explanation:
the bar is still because she isnt going faster or slowing down she is constant
Answer:
D: She is at a constant speed.
Step-by-step explanation:
she is not acceleraring or decelerating, so her speed is constant
Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. Choose the inequality that would be used to solve for the maximum number of months for which Abbey can learn yoga with her savings.
Answer: 35x+50x_<(less than or equal to)1,325
Step-by-step explanation:
it’s easy and I’m taking the test and got it right
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3
9514 1404 393
Answer:
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Step-by-step explanation:
We can find the function g(x) to be ...
g(x) = f(x+1) = 4(x+1) -2
g(x) = 4x +2
This tells us the y-intercept is (0, 2), so the only viable answer choice is ...
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Answer:
Your answer would be C:]
Step-by-step explanation:
Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *
Answer:
Total deductions = $196.24
Step-by-step explanation:
Gross weekly salary = $680
federal holding = $101.62
FICA standard rate = 7.65% of gross earnings
= 7.65% of $680 = 0.0765 × 680 = $52.02
∴ FICA deductions = $52.02
state tax = 1.5% of gross pay = 1.5% of $680
state tax = 0.015 × 680 = $10.2
∴ state tax = $10.2
Medical insurance = $32.40
Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24
A= LWH for L
L=
What’s the answer
Answer:
A ÷ (WH)
Step-by-step explanation:
W(-5,1) reflect it across x=-3
Answer:
(-1,1)
Step-by-step explanation:
PLSS HELP DUE IN 4 MINS
Answer:
The inverse is 1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Exchange x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
x/2 -1/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
-2x + 7 = x-2
What is this ? In the most simplest steps possible
Answer:
Let's solve your equation step-by-step.
−2x+7=x−2
Step 1: Subtract x from both sides.
−2x+7−x=x−2−x
−3x+7=−2
Step 2: Subtract 7 from both sides.
−3x+7−7=−2−7
−3x=−9
Step 3: Divide both sides by -3.
−3x /−3 −9 /−3
Answer:
x=3
Hope this helps
(>'-'<)
Anyone know got a chart by the way on the bottom
Answer:
41 and then 24 i belive
Step-by-step explanation:
36% of what number is 64.8?
Set up the equation 64.8 = .36x
Divide by .36 on both sides.
You get 180 = x.
36% of 180 is 64.8
Multiply .36 by 180 to double check.
Hope this helps
Bart earns $6.30 per h. If his regular pay last week was $236.25, how many hours did he work?
Answer:
Bart worked 37.5 hours last week (37 1/2).
Step-by-step explanation: Divide total pay by rate per hour (in this case $6.30 per hour.)
$236.25 (the total) / $6.30 (money per hour) = 37.5 or 37 1/2
If B = 3x^2-x+3and A=x-6, find an expression that equals 2B+3A in standard form?
Answer:
[tex]6x^{2} +x-12[/tex]
Step-by-step explanation:
All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.