Answer:
(-6,-4)
Step-by-step explanation:
The first endpoint of the line is (-6,8), we can call
x_1 = -6
and
y_1 = 8
Let the last endpoint have coordinates (x_2,y_2)
Also, the midpoint formula is:
(x_1+x_2)/2 , (y_1+y_2)/2
Now, plugging these values is the formula, we get:
(-6+x_2)/2 = -6
-6+x_2=-12
x_2=-12+6 = -6
x_2 = -6
Also
(8+y_2)/2=2
8+y_2=4
y_2=4-8=-4
y_2 = -4
The coordinates of the other endpoint is (-6,-4)
Tomas Gomez's gross weekly pay is $750. What amount is deducted weekly for Social Security taxes, if the tax rate is 6.2%?
$41.85
$962.55
$52.70
$46.50
Final answer:
The amount deducted weekly for Social Security taxes from Tomas Gomez's gross weekly pay of $750 at a tax rate of 6.2% is $46.50.
Explanation:
The question relates to calculating deductions for Social Security taxes from Tomas Gomez's weekly pay. To calculate the amount deducted weekly for Social Security taxes at a tax rate of 6.2%, you multiply the gross weekly pay by the tax rate.
Gross Weekly Pay: $750
Social Security Tax Rate: 6.2%
Calculation: $750 * 6.2% = $750 * 0.062 = $46.50
Thus, the amount deducted weekly for Social Security taxes from Tomas Gomez's gross pay is $46.50.
One kilogram of cheese costs £4.90How much would 400g cost?
Answer:
£ 1.96
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
1 kg = £ 4.90
( ÷ 10 )
100 g = £ 0.49
( × 4 )
400 g = £ 1.96
Answer:
£1.96
Step-by-step explanation:
1kg = 1000g
1 kg = £4.90
1000g = £4.90
1000g = £4.90
100 g = 4.90 ÷ 10 = £0.49
100g = £0.49
400g = 0.49 x 4 = £1.96
a Square prism with base length 7 m and height 15 m
the answer is:
Area =518
Volume =735
hope this helps you good luck!!
Angle A is 5x-15. Angle B is 2x+21. Solve for x then find the measure for Angle B
To find the measure of Angle B, solve the equation 5x - 15 = 2x + 21, which gives x = 12. Then, substitute x back into the expression for Angle B to get 2(12) + 21 = 45°. Thus, Angle B measures 45°.
Solve for x and find the measure of Angle B
To solve for x and find the measure of Angle B, follow these steps:
Set the expressions for Angle A and Angle B equal to each other:Now, substitute x back into the expression for Angle B:
Angle B = 2x + 21
= 2(12) + 21
= 24 + 21
= 45°
Therefore, the measure of Angle B is 45°.
If you miss your ex and he doesn't know should you start talking to him again or stay friends for a while to see how things go?
Answer:
Stay friends. Make him think you are over him.
Step-by-step explanation:
This will make him question if maybe you have found someone else. An opportunity to get back together might pop up out of it.
Answer:
Honestly as a boy I think that you should start talking to him again.
Step-by-step explanation:
Like we cant read minds. If you miss him then maybe if he sees that u have feelings for him then maybe yall can work things out. Also it depends on the boy. What type is he. and it depends on you. what type of girl are you. If you like can I please get brainliest
Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs
answer:
-1/2
explanation
1-2 / 4-2 = -1/2
Slope between two points
[tex](x_{1},y_{1}) \text{and},(x_{2},y_{2}) \text{is equal to}\\\\\text{and}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-2}{4-2}\\\\=\frac{-1}{2}[/tex]
Option D
[tex]\frac{-1}{2}[/tex]
Zara is serving a fresh pie.she starts by cutting the pie in half and then cuts each half into 4 equal pieces what fraction of the whole pie is each piece
Answer:
[tex]\boxed{\frac{1}{8}}[/tex]
Step-by-step explanation:
You are starting with ½ pie. Then you cut it into four pieces.
You want to evaluate ½ ÷ 4
Step 1. Treat the integer as a fraction
[tex]\frac{1}{2}\div{\frac{4}{1}}[/tex]
Step 2. Invert the divisor and change divide to multiply
[tex]\frac{1}{2}\times{\frac{1}{4}}[/tex]
Step 3. Multiply numerators and denominators
[tex]\frac{1}{2}\times{\frac{1}{4}} = \mathbf{\frac{1}{8}}\\\\\text{Each piece is } \boxed{\mathbf{\frac{1}{8}}} \text{ of a whole pie.}[/tex]
Answer:
1/8
Step-by-step explanation:
Write the algebraic expression that matches each graph (pictures are not drawn to scale!!):
WILL GIVE 20 POINTS AND BRAINLIEST!!!!!
Answer:
y = -|x| +3
Step-by-step explanation:
Answer:
-/x/-3
Step-by-step explanation:
The volume of a rectangular prism has 5376 cubic inches the prism is 14 in long and 16 in wide how tall is the prism
Answer:
The height of the prism is [tex]24\ in[/tex]
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
[tex]V=LWH[/tex]
In this problem we have
[tex]V=5,376\ in^{3}[/tex]
[tex]L=14\ in[/tex]
[tex]W=16\ in[/tex]
substitute in the formula and solve for H
[tex]5,376=(14)(16)H[/tex]
[tex]H=5,376/[(14)(16)][/tex]
[tex]H=24\ in[/tex]
What is the value of x?
Answer:
x = 3Step-by-step explanation:
Look at the picture.
We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.
The sides of those triangles are in ratio:
1 : 1 : √2 and 1 : √3 : 2
Therefore
If AC = 6√2 then AB = BC = 6
If BC = 6 then x = 6 : 2 = 3
Ashley runs a hardware store. She has decided to apply a markdown of 15% to one item in order to draw customers into the store, and she will apply a markup of 10% to three different items, which she hopes the customers will purchase after purchasing the marked-down item. She has chosen four candidates for this process: a power drill with an initial price of $51.49, a ceiling fan with an initial price of $64.79, a miniature circular saw with an initial price of $45.99, and a screwdriver set with an initial price of $37.39. After applying the changes, the total cost of purchasing one of each item is $3.77 more than it was before applying the changes. Which item was marked down?
a.
power drill
b.
ceiling fan
c.
circular saw
d.
screwdriver set
Answer:
correct answer is option b.
Step-by-step explanation:
so Ashley has markdown one item by 15%
and mark up other items by 10% to get $3.77
assuming she marked ceiling fan mark down by 15%
if each item is sold
= 0.85 × $64.79 +1.1 × $51.49 +1.1 × $45.99 + 1.1 × $37.39
= $203.4285
profit
= $203.4285 - $64.79 -$51.49 - $45.99 -$37.39
=$3.7685 ≅$3.77
hence ceiling fan price will be draw down by 15%
hence correct answer is option b.
The item that was marked down was the b. ceiling fan, from $64.79 to $55.07.
What are markdown and markup?A markdown reduces the cost or price of an item by the percentage markdown.
A markup, on the other hand, increases the cost of the item.
Data and Calculations:Markdown = 15%
Markup = 10%
Items Prices
Power drill $51.49
Ceiling fan 64.79
Circular saw 45.99
Screwdriver set 37.39
Total price $199.66
Increase in the price = $3.77
New price = $203.43 ($199.66 + $3.77)
Decision:Most likely, Ashley will mark down the Ceiling fan to attract customers to purchase other items.
Therefore, the new prices after applying the changes will be:
Items Prices Markup/down
Power drill $51.49 $56.64 ($51.49 x 1.1)
Ceiling fan 64.79 55.07 ($64.79 x 0.85)
Circular saw 45.99 50.59 ($45.99 x 1.1)
Screwdriver set 37.39 41.13 ($37.39 x 1.1)
Total price $199.66 $203.43
Comparison of new total price with old total price:New total price = $203.43
Old total price = $199.66
Increase in cost = $3.77 ($203.43 - $199.66)
Thus, the item that was marked down was the b. ceiling fan.
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PLEASE HELP ASAP! I NEED HELP!
3. Remy is participating in a bowl-a-thon to benefit the local hospital. Each sponsor will pay Remy $2 plus $0.10 per pin, x, that he knocks down. Write an equation to show how much Remy will raise per sponsor, B, for knocking down x pins.
Answer:
[tex]y=B(2+0.1x)[/tex]
Step-by-step explanation:
B = number of sponsors
x = number of pins
Equation :
[tex]y=B(2+0.1x)[/tex]
u(m+2)+w(m-3)=z(m-1) solve for m
Answer:
[tex]\large\boxed{m=\dfrac{3w-2u-z}{u+w-z}}[/tex]
Step-by-step explanation:
Use the distributive property: a(b + c) = ab + ac
[tex]u(m+2)+w(m-3)=z(m-1)\\\\um+2u+wm-3w=zm-z\qquad\text{subtract}\ 2u\ \text{from both sides}\\\\um+wm-3w=zm-z-2u\qquad\text{add}\ 3w\ \text{to both sides}\\\\um+wm=zm+3w-2u-z\qquad\text{subtract}\ zm\ \text{from both sides}\\\\um+wm-zm=3w-2u-z\qquad\text{distributive}\\\\(u+w-z)m=3w-2u-z\qquad\text{divide both sides by}\ (u+w-z)\neq0\\\\m=\dfrac{3w-2u-z}{u+w-z}[/tex]
(13 points) asap!! please help!!!!
Answer:
(-1,4)(1,4)
2
Step-by-step explanation:
For each given pair of functions, multiply or divide as instructed. Be sure to show all the steps
required to write your answer in simplest form. Review the rubric to see how your work will be
graded.
1) f(x)=2x
g(x)=3x^3
f(x)/g(x)=?
[tex]\frac{f(x)}{g(x)} =?[/tex]
Since you know f(x) = 2x and g(x) = 3x^3, you can substitute that into the function
[tex]\frac{f(x)}{g(x)} =?[/tex]
[tex]\frac{2x}{3x^3} =?[/tex]
When a variable(x or y) with an exponent is divided by another variable with an exponent, you subtract the exponents, only if the variables are the same.
For example:
[tex]\frac{x}{y}[/tex] Since the variables on the top and bottom are not the same, you can't simplify it (or its already simplified)
[tex]\frac{x^3}{x^2} =x^{3-2} =x^1[/tex]
[tex]\frac{y^5}{y^7}=y^{5-7}=y^{-2} = \frac{1}{y^2}[/tex] (when an exponent is negative, you move it to the other side of the fraction to make the exponent positive)
[tex]\frac{2x}{3x^3} =?[/tex]
[tex]\frac{2x}{3x^3}= (\frac{2}{3})x^{1-3}= (\frac{2}{3})x^{-2} = (\frac{2}{3})\frac{1}{x^2}[/tex] Since you can't simplify 2/3, you get:
(not sure if this is how it should look ---> (2/3)x^(1-3) but i'm assuming it is)
[tex]\frac{2}{3x^2}[/tex]
find the vertex and the y-intercept of the graph of y = -x^2 + 14x - 47
Answer:
(7,2)
y= -47 or (0,-47)
Step-by-step explanation:
You can use a graphing calculator to find the vertex and y intercept
The coordinates of the vertex are - V(7, 2) and the y - intercept will have coordinates - Y(0, - 47).
What is Parabola?A parabola is a curve which forms by joining all the points which are at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).The previous section shows that any parabola with the origin as vertex and the y axis as axis of symmetry can be considered as the graph of a function - f(x) = ax² with a ≠ 0.Given is the following equation -
- x² + 14x - 47
We can write the vertex as -
[tex]{\displaystyle V=\left(-{\frac {b}{2a}},{\frac {4ac-b^{2}}{4a}}\right)}[/tex]
So, we can write -
V = (-14/-2, {4 x -1 x -47 - 196}/{-4})
V = (7, 2)
and the point of the parabola intersecting the y - axis has coordinates -
(0, c)
(0, - 47)
Therefore, the coordinates of the vertex are - V(7, 2) and the y - intercept will have coordinates - Y(0, - 47).
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Which of the following expressions has the greatest value?
A.-2-(-3)
B.2-(-3)
C.-2-3
D.2+(-3)
Answer:
B is the greatest being 5.
Step-by-step explanation:
A.
[tex]-2-(-3)\\-2+3\\1[/tex]
B.
[tex]2-(-3)\\2+3\\5[/tex]
C.
[tex]-2-3\\-5[/tex]
D.
[tex]2+(-3)\\-1[/tex]
The expression 2-(-3) is determined to have the greatest value.
To determine which expression has the greatest value:
A: -2-(-3) = -2 + 3 = 1
B: 2-(-3) = 2 + 3 = 5
C: -2-3 = -5
D: 2+(-3) = 2 - 3 = -1
Hall is baking cookies. The diameter of each cookie is 6 centimeters.
What is the area of each cookie (use 3.14 for pi and round to nearest
tenth)?
Area of each cookie is approximately 28.3 cm2.
The area of a circle can be calculated using the formula A = πr2. Given that the diameter of each cookie is 6 centimeters, the radius would be half of the diameter, which is 3 centimeters. Plugging in the values, we get: A = 3.14 x (3 cm)2 = 3.14 x 9 = 28.26 cm2. Rounded to the nearest tenth, the area of each cookie is approximately 28.3 cm2.
If a=i-2j and b= 2i - xj are parallel, then x is.....
a) 4 3 2 ) 2 d 4.
Answer:
x = 4
Step-by-step explanation:
a = i-2j
b = 2i-xj
1 = k•2
-2 = k•(-x)
=> 1/2 = k
=> (-2)/(-x) = k
=> 1/2 = (-2)/(-x) => 1/2 = 2/x => x = 4
Find the slope of the line that passes through the points (-12,-5)(0,-8) enter your answer as a fraction with no spaces
Answer:
Slope = -1/4
Step-by-step explanation:
Slope = (-8 + 5)/(0 + 12) = -3/12 = -1/4
Answer:
-1/4
Step-by-step explanation:
Slope is found by using
m= (y2-y1)/ (x2-x1)
= (-8--5)/(0--12)
= (-8+5)/(0+12)
= -3/12
=-1/4
Find the value of x for which line a is parallel to line b
Answer:
20
Step-by-step explanation:
The question tells us that line a is parallel to line b (even if they don't seem to be in the image).
∠8 = ∠4 and ∠5 = ∠1 since line t crosses the parallel lines.
We are given ∠4 = 3x and ∠5 = 6x.
Since we know ∠8 = ∠4 , we can then say
∠8 = 3x and ∠5 = 6x
Since ∠8 and ∠5 are complementary and combined they form a flat angle of 180 degrees, we can say:
3x + 6x = 180
9x = 180
x = 20
At a clothing store Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Stephen bought 3 shirts and 3 ties for a total pace of $84. Each shirt was the same price and each tie was the same price.
Which system of equations can be used to find s, the cost of each shirt in dollars and t the cost of each tie in dollars.
Linda bought 1 shirt and 2 ties at the same store. Whats the total price in dollars and cents of Lindas purchase.
Answer:
t(ties) = $8,50 and s(shirts) = $19,50
Linda's purchase total price $36,50
Step-by-step explanation:
In mathematics, a system of linear equations is a set of two or more linear equations with more than one unknown that make up a mathematical problem that consists of finding the values of the unknowns that satisfy those operations. the unknowns are usually represented with letters of the alphabet
For this example, we can represent as a system of linear equations as follows:
For Ted
[tex]4s+2t=95[/tex] where s are shirts, t are ties, and 95 the total price of both products in $.
For Stephen
[tex]3s+3t=84[/tex] where s are shirts, t are ties, and 84 the total price of both products in $.
Each shirt and each tie were buying in the same clothing store which means that it has the same price and we can and we can relate both equations with a system of equations as follows:
[tex]\left \{ {{4s+2t=95} \atop {3s+3t=84}} \right.[/tex]
Using the reduction method, which is to clear in one of the equations with any unknown.
In this case the system has two unknowns, the selected one must be replaced by its equivalent value in the other equation.
Let's clear s in the second equation
[tex]3s+3t=84\\3s=84-3t\\s=\frac{84-3t}{3} \\s=28-t[/tex]
Substituting the value of [tex]s=28-t[/tex] in the first equation
[tex]4s+2t=95[/tex] with [tex]s=28-t[/tex]
[tex]4(28-t)+2t=95\\112-4t+2t=95\\-2t=95-112\\t=\frac{-17}{-2}=8.50[/tex]
We got that the price of a tie is t = $8,50
Substituting the value of t in the first equation in order to obtain the value of s
[tex]3s+3t=84\\3s+3(8.50)=84\\3s+25.50=84\\s=\frac{84-25.50}{3} = 19.50[/tex]
We got that the price of a shirt is s = $19,50
Checking if the result satisfies the equations
With t = 8.50 and s = 19.50
[tex]\left \{ {{4s+2t=95} \atop {3s+3t=2}} \right.\\\left \{ {{4(19.50)+2(8.50)=95} \atop {3(19.50)+3(8.50)=84}} \right.\\\left \{ {{78+17=95} \atop {58.50+25.50=84}} \right.[/tex]
Linda bought 1 shirt and 2 ties at the same store. What's the total price in dollars and cents of Linda's purchase?
If a shirt value is s = $19,50 and a tie value is t = $8,50
Then s + 2t = ?
$19,50 + 2($8,50) = $36,50
The system of equations can be used to find s, the cost of each shirt in dollars and t the cost of each tie in dollars is
4s + 2t = 95
4s + 2t = 953s + 3t = 84
Given:
Cost of shirt = s
Cost of tie = t
4s + 2t = 95 (1)
4s + 2t = 95 (1)3s + 3t = 84 (2)
Multiply (1) by 3 and (2) by 2
12s + 6t = 285 (3)
6s + 6t = 168 (4)
subtract (4) from (3)
12s - 6s = 285 - 168
6s = 117
s = 117/6
s = 19.5
substitute s = 19.5 into (1)
4s + 2t = 95 (1)
4(19.5) + 2t = 95
78 + 2t = 95
2t = 95 - 78
2t = 17
t = 17/2
t = 8.5
Therefore, the cost of each shirt is $19.5 and the cost of each tie is $8.5
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David borrowed $2500 from his local bank. The yearly interest rate is 8%. If David pays the full principle and interest in the first year of the loan, how much money will he pay to the bank?
Answer:$2700
Step-by-step explanation: Really depends on the kind of interest, but you would take the initial amount, and multiply it by the APR for the amount of interest, then add the interest to the initial amount.
To repay the full principle and interest in the first year of the loan with an interest rate of 8%, David borrowed $2500 from his local bank, would need to pay a total of $2700 to the bank.
Explanation:To answer your question, we first need to calculate the interest David needs to pay. The formula used to calculate the interest on a loan is: Principal sum x Annual interest rate. David's principal sum is $2500 and the annual interest rate is 8%.
Here's the calculation step-by-step:
Convert the interest rate from a percentage to a decimal by dividing it by 100. So, 8% becomes 0.08.Multiply the principal sum by the interest rate: $2500 * 0.08 = $200.The total amount of money he will pay in the first year is the principal sum plus the interest, which is: $2500 + $200 = $2700.So, if David pays the full principle and interest in the first year of the loan, he will pay a total of $2700 to the bank.
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Jeff made $243.75 last week. If he worked 25 hours, how much is he paid for one hour of work? Jeff made $243.75 last week. If he worked 25 hours, how much is he paid for one hour of work?
Answer:
$9.75 per hour
Step-by-step explanation:
243.75/25= 9.75
Hope this helps you out!
Answer:
Jeff is paid $9.75 for one hour of work.
Step-by-step explanation:
Jeff made last week = $243.75
He worked 25 hours for a week.
We have to calculate his pay per hour, so we divide his total pay by the time he worked.
total pay ÷ time he worked ( in hours)
pay per hour = 243.75 ÷ 25 = $9.75/hour
Jeff is paid $9.75 for one hour of work.
log3 (x+1)+log3 2x= log3 (3x+1)
Answer:
hello : x=1
Step-by-step explanation:
look this solution :
Please help. I don't understand this...
Answer:
Y=-2.9x+120
Step-by-step explanation:
The most simple way to solve is plug any x value into each equation and see if it works
Answer:
2nd option choice or third
???add up the sides?????
Answer:
PR = 20
Step-by-step explanation:
The perimeter is the sum of the 3 sides, thus
4z + z + 3 + 3z + 2 = 45 ← simplify left side
8z + 5 = 45 ( subtract 5 from both sides )
8z = 40 ( divide both sides by 8 )
z = 5
PR = 4z = 4 × 5 = 20
Answer:
40
Step-by-step explanation:
Using the triangle perimeter formula [P=2(l) + 2(w) / 2]:
45 = 2 (z + 3) + 2 (3z + 2) / 2
45 = 2z + 6 + 6z + 4 / 2
45 = 8z + 10 / 2
45 = 4z + 5
40 = 4z
z = 10
PR
4z
4 (10)
40
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the integers?
Answer:
First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47
Step-by-step explanation:
Let First integer = n
Second Integer = n+1
Third Integer = n+2
According to the question given (If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third) the equation will be:
138 - n = (n+1) + (n+2)
Solving the equation:
138 - n = n+1+n+2
138 - n = 2n+3
138 - 3 =2n +n
135 = 3n
135/3 = n
=> n= 45
So, First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47
Patty has a parallelogram that has a base of 3 feet and a height of 5 feet. The base and height will each be doubled. Will the area also be doubled? Explain how you know.
Answer:
No, the area will not be doubled. Instead, it will be quadrupled
Step-by-step explanation:
Let the length of the base be b and the height be h.
Original area = b x h
= 3 x 5
= 15 square feet
New area = b x h
= (2 x 3) x (2 x 5)
= 6 x 10
= 60 square feet
Therefore, the area is quadrupled when both the base and the height are doubled.
Answer:
Sample response: No, the area will be multiplied by 4. The original area is 3 × 5 = 15 square feet. If the base and the height are both doubled, then the new area will be 6 × 10 = 60. 60 is 4 times 15.
PLEASE HELP 12 POINTS
Answer:
153.86
Step-by-step explanation:
To find the area the equation is pi* radius squared
so it's 3.14*7 squared it's
3.14*49
The answer is 153.86