Answer:
yes
Step-by-step explanation:
the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.
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
What is the range of the function
graphed below?
(3,3)
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)
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
Read more about x-intercepts at:
https://brainly.com/question/3951754
Tisha paid $10.50 for 6 liters of her favorite soda. To the nearest cent, how much did 3 liters of her
favorite soda cost?
Answer:
$5.25
Step-by-step explanation:
Step 1:
10.50 / 6 = x / 3 Equation
Step 2:
6x = 31.5 Multiply
Step 3:
x = 31.5 ÷ 6 Divide
Answer:
x = 5.25
Hope This Helps :)
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
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
Geometry Question: Image is provided below.
Please show all work and your steps.
25 points
Answer:
x=7
y=10
Step-by-step explanation:
8x and 11y+14 are same side interior angles so they add to 180 degrees
11y+14 and 10x+54 are vertical angles so they are equal
8x + 11y+14 = 180
11y+ 14 = 10x+54
Substitute 10x+54 for 11y+14 in the first equation
8x +10x+54 = 180
Combine like terms
18x+54 =180
Subtract 54
18x+54-54=180-54
18x =126
Divide by 18
18x/18 = 126/18
x=7
Now we can find y
11y+ 14 = 10x+54
11y + 14 = 10*7+54
11y+14 = 70+54
11y+14 =124
Subtract 14 from each side
11y = 124-14
11y =110
Divide by 11
11y/11=110/11
y =10
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.
will you guys help me with anything i need?
(don't listen about the subject for now i just need to know)
Answer:
Ummm yeah , i'm literally a nice person and a good listener .
Step-by-step explanation:
Can i pls have brainly ? <3
Answer:
yes
Step-by-step explanation:
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Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answer:
608.33
Step-by-step explanation:
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:
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
what a number named as a googolplexian might be ?
Answer:
A 1 with a hundred 0's following it
Step-by-step explanation:
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:
Select all the true statements. Group of answer choices The ratio of triangles to squares is 2 to 4. The ratio of squares to smiley faces is 6:4. The ratio of smiley faces to triangles is 6 to 4. There are two squares for every triangle. There are two triangles for every smiley face. There are three smiley faces for every triangle.
Answer:
The ratio of triangles to squares is 2 to 4
There are two squares for every triangle.
There are three smiley faces for every triangle.
Step-by-step explanation:
The number of triangles, smiley and squares are shown in the diagram attached.
From the diagram, there are 6 smiley faces, 2 triangles and 4 squares.
A ratio compare two or more values, thereby showing how many times one number contains the other.
A) Correct. The ratio of triangles to squares = number of triangle / number of square = 2 / 4 = 2 to 4
B) Incorrect. The ratio of squares to smiley faces = number of square / number of smiley face = 4 / 6 = 4 to 6
C) Incorrect. The ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 6 to 2
D) Correct. Since the ratio of squares to triangles = number of squares / number of triangle = 4 / 2 = 2 / 1 = 2 to 1, hence there are two squares for every triangle
E) Incorrect. Since the ratio of triangles to smiley faces = number of triangle / number of smiley faces = 2 / 6 = 1 / 3 = 1 to 3, hence there is one triangle for every 3 smiley faces
F) Correct. Since the ratio of smiley faces to triangles = number of smiley faces / number of triangles = 6 / 2 = 3 / 1 = 3 to 1, hence there is 3 smiley faces for every one triangle
I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
-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.
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
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
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What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.
Answer:
A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:
Answer:
the person above me is correct
Shark boi U~U
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.
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
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.
Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29
Step-by-step explanation:
Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value
Anyone know got a chart by the way on the bottom
Answer:
41 and then 24 i belive
Step-by-step explanation:
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:
Need help with 5-8 with working out will be marking brainliest
Answer:
hope to have helped you:)
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: