Answer:
x = $4
1. $10
2. $8
3. $6
Step-by-step explanation:
Let
Michael's doubled pocket money = 2x
He spends $3
Balance = 2x - 3
His sister's pocket money = $6
She spends $1
Balance = $6 - $1
= $5
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8/2
= 4
x = $4
After making the payments, they both together have $10
After Michael's pocket money was doubled, he has 2x
= 2(4)
= $8
His sister's has $6 before making the payments
What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3
Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?
$94.25
$118.75
$107.75
$332.50
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
STEP 1: So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
(47.50 x 2 = 95)
STEP 2: So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
(47.50 ÷ 2 = 23.75)
STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
(95 + 23.75 = $118.75)
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
I HOPE THIS HELPED YOU!
Answer:
$118.75
Step-by-step explanation:
Okay, we know a rock per ton is $47.50.
What we need to know is how much 2.5 tons cost.
So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:
($47.50 * 2.5) = $118.75
So 2.5 tons of rock costs $118.75
Have a great day! :)
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:
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:
Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1
Answer:
= 4
Step-by-step explanation:
2a^2-4b
=2(2)^2-4(1)
=2×4-4
= 8-4
=4
If n is an odd integer, which equation can be used to find three consecutive odd integers whose sum is 15?
Answer:
n+(n+2)+(n+4)=15
Step-by-step explanation:
Let n= the smallest odd integer
n+(n+2)+(n+4)=15
n=3
(8.1 x 104)
+
(2.5 x 104). Express your answer in scientific notation.
Answer:
=10.6x104
Step-by-step explanation:
=8.1x104+2.5x104
=(8.1x104+2.5x104)
=10.6x104
(8.1 x104)+(2.5 x 104)
Multiply the numbers
842.4 + (2.5 x 104)
Multiply the numbers
842.4 +260
Now we do the same thing only different way
2
2.5
x 104
________
100
000
2 50 0
______________
260
Multiply the digits
4 x 5 =20
Take the last digit and write it in the answer line
Carry the next digit and save it for the next calculation
Multiply the digits
4 x 2=8
Add the carried digit for the previous result
8+2 =10
Write the result in the answer line
Move the next digit and write it the next result below
Every digit multiplied by zero equals zero
Move to the next digit an write the next result below
Every digit multiplied by one stays the same
Add the numbers
Move the decimal sign as many times as there are decimal places in both factors combined.
Remove the unnecessary zeros
The result is 260
842.4+260
Add the numbers
1102.4
842.4
+ 260.0
_________
1102.4
Write zeros to get the same number of decimal places.
Add the digits in the column
4+0=4
Write the result under the column
Add the digits in the column
2+0=2
Solution: 1102 .4
Alternate form : 5512/5 , 1102 2/5
PLEASE MARK ME AS BRAINLIEST
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)
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:
hjoyybhfddsjjsjajajdhvdbenwkwq
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
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
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.
is 10/2 an irrational number?
Answer:
yes it is because it is expressed in the form of a p/q
Step-by-step explanation:
If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.
so yes 10/2 is a rational number
oh and i mean yes its rational no its not irrational :)
No, it is not an irrational number.
Irrational numbers are those who cannot be turned into a fraction.
10/2 is a fraction. Therefore, it is a Rational number.
[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]
To do so, divide the numerator (Top number) by the denominator (Bottom number).
Find the area of the rectangle. The length is 1.25 and the width is 0.8 inches
3^100 dan 10^50 lebih besar mana?
Answer:
The bigger is 10 to the power of 50 or 10^50
Step-by-step explanation:
3 to the power of 100 = 3100 = 51537752 0732011331 0364611297 6562127270 2107522001. = place digits is 50
10 to the power of 50 = 1050 = 1 0000000000 0000000000 0000000000 0000000000 0000000000. = place digits is 51
Triangle ABC will be dilated according to the rule
[tex]D_{F, 0.25} (x,y)[/tex], where point F is the center of dilation.
What will be the coordinates of vertex A' of the image?
a. (-8,-4)
b. (-2,-1)
c. (0, 0)
d. (1, 0)
The answer is (1,0), but could someone explain how you get it, please?
Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.
In this case the center of dilation is located at F: (3,1)
The first step we must take is to find how many units point F is from vertex A.
In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)
Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)
4 * 0.25 = 1
8 * 0.25 = 2
This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:
1 unit vertically
2 units horizontally
Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:
Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)
Reference the second image to see this
Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.
~Just a girl in love with Shawn Mendes
Answer:
D 1,0
Step-by-step explanation:
credit to the one up above
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
Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?
The percent error for this year was lower. Deanna estimated better last year.
The percent error for this year was higher. Deanna estimated better last year.
The percent error for this year was lower. Deanna estimated better this year.
The percent error for this year was higher. Deanna estimated better this year.
Answer:
The percent error for this year was higher. Deanna estimated better last year.
Step-by-step explanation:
Answer:
Step-by-step explanation:
6jkyuilyi
Which of the following statements contain a variable?
A. The time it takes to wash the dishes plus 30 minutes.
B. The age of my friend.
C. The number of kittens in a litter.
D. There are 24 hours in a day.
PLEASE HELP I WILL GIVE YOU 13 POINTS
Answer:
I think it would be C.
Step-by-step explanation:
For y [tex]\geq[/tex] the line should be solid and it should be shaded above the line because ≥ means greater than.
For y > the line should be dashed and it should be shaded above the line because it means greater than.
For y [tex]\leq[/tex] the line should be solid and it should be shaded below the line because it means less than.
For y < the line should be solid and it should be shaded below the line because it means less than.
Hope this helps!
7
Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)
Answer:
I think it's B
...........
Answer:
d
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus
midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d
A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4
Answer:
A
Step-by-step explanation:
31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4
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 is the difference between comprehensive and collision coverage in an auto policy
Answer:
their both the same
Step-by-step explanation:
add and subtract divide multiply
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
what a number named as a googolplexian might be ?
Answer:
A 1 with a hundred 0's following it
Step-by-step explanation:
The average fun size Snickers bar has the mass of 20.1 grams with a standard deviation of 0.7 grams What percent of Snickers bars have a mass more than 21.5 grams?
Step-by-step explanation:
The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.
1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))
a. The population is approximately normal.
b. The population standard deviation is known.
c. The sample taken is a random sample.
d. The population standard deviation is unknown. e
. The degrees of freedom is 0.01.
f. The sample size is greater than 30.
2. Which of the following statements is correct?
a) Parameters describe sample characteristics.
b) Statistics describe population characteristics.
c) We use statistics to estimate the value of parameters.
d) We use parameters to estimate the value of statistics
Expert Answer
The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.
To find the percentage of Snickers bars with a mass more than 21.5 grams,
use the concept of standard normal distribution.
Calculate the z-score for 21.5 grams.
The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.
Here
x = 21.5 grams
μ = 20.1 grams (mean)
σ = 0.7 grams (standard deviation)
z = (21.5 - 20.1) / 0.7
z = 1.4 / 0.7
z = 2
The percentage of values greater than the z-score in the standard normal distribution calculator.
The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.
Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.
learn more about percent here
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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
A-55
B-65
C-75
D-90
Please help meee it’s a test
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:
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