Answer: Length: 4, width: 6
Step-by-step explanation:
Let the length be x and width be y
Then x=2y-8 and xy=24
Substitute to get 2y-8 * y = 24, so 2y^2-8y=24 or y^2-4y=12, then solve to get y=6 or y=-2. Since width is positive y=6.
Substitute y=6 into xy=24 to get x=4.
Length: 4, width: 6
Hope that helped,
-sirswagger21
Round0.00359 to nearest ten thousand
Answer: 0.0036
Step-by-step explanation:
0.00359 — 0.0036
The nine rounds up
When Ravi brought 3 friends to his house after school, his mother gave them a box of pretzels and a box of crackers. She told them to share the snacks equally among themselves and to give her any that were leftover.
The boys opened the boxes and found a total of 26 pretzels and 35 crackers.
How many pretzels and crackers did the boys give to Ravi's
Answer:
6 pretzels and 8 crackers
Step-by-step explanation:
Since his mom told him to give her the remaining, 6*4= 24 giving to his mom 2 pretzels and 8*4=32 so he has to give his mom 3 crackers. This way him and his friends have the same amount of snacks.
Hope you find it useful. Good night
A computer has a price tag of $300. The store is giving you a 15% discount for the computer. Find the discount AND final price of the computer.
Answer:
Discount = $45
Final = $255
Step-by-step explanation:
First you would multiply $300 by .85. (You do this because your only paying for 85% of the computer) to get the final price
$255
In order to get the discount amount you would subtract 300 by 255 to get
$45
Sally earns $12.50 an hour cleaning houses. If she works from 8:00am to 6:00pm, how much money will she make?
Answer:
She will make 125 dollars
Step-by-step explanation:
First figure out how many hours are in between 8 AM and 6PM
Second multiply that number by the salary she makes per hour. In this case its 12.50*10
Lastly Get the answer and add a dollar sign :D
For the graph y = 4 find the slope of a line that is perpendicular to it.
Answer:
Slope is 4
slope of the line perpendicular to it: x=-1/4
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $18.5 for a random sample of 2253 people. Assume the population standard deviation is known to be $6.1. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
Answer:
= ( $18.2, $18.8)
Therefore, the 98% confidence interval (a,b) = ( $18.2, $18.8)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $18.50
Standard deviation r = $6.10
Number of samples n = 2253
Confidence interval = 98%
z(at 98% confidence) = 2.33
Substituting the values we have;
$18.5+/-2.33($6.1/√2253 )
$18.5+/-2.33($0.128513644290)
$18.5+/-$0.299436791196
$18.5+/-$0.3
= ( $18.2, $18.8)
Therefore at 98% confidence interval (a,b) = ( $18.2, $18.8)
Angle-Angle-Side (AAS) is not a congruency of triangles theorem.
Answer:
False
Step-by-step explanation:
AAS is one of the POSTULATE to prove triangles' congruency.
Answer:n
Step-by-step explanation:
In the expression what is the numerical coefficient in this question ?
Answer:
-7
Step-by-step explanation:
The numerical coefficient of [tex] - 7yz^2 [/tex] is - 7.
The coefficient of -7yz² is -7
In the given equation,
5x⁶÷3xy-7yz²+2y÷z
the coefficient is -7 , because the coefficient is the constant term of an expression.
A numerical coefficient is a constant multiplier of the variable in a term. And here, -7 is preceded by -7yz²
Hence it is the numerical coefficient.
learn more about numerical coefficients:
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fand f are functions.
If f(4) = 2 then f'(2) = ?
Answer:
4
Step-by-step explanation:
[tex] \because \: f(4) = 2 \\ \therefore \: {f}^{ - 1} (f(4)) = {f}^{ - 1} (2) \\ \therefore \: 4 = {f}^{ - 1} (2) \\ \huge \red{ \boxed{{f}^{ - 1} (2) = 4}}[/tex]
Answer:
4 four
Step-by-step explanation:
hope it helps you
to shift the graph of an equation some number of units to the_ you subtract that number from each X in the equation
Answer:
A. right
Step-by-step explanation:
Replacing x with (x-h) in a function shifts the graph to the right h units.
__
See the attachment for an example.
A man spend 3/5 of his money and has$ 90 left . how much did he have initially
Answer:
225 I believe because if he has $90 that is 2/5 so add another 90 whitch is 2/5 as well and divide 90 by 2 and to get 45 which all adds up to 225
x/3+1=7/15 what is the answer of my question
Answer:
efdm3rndne
Step-by-step explanation:
nenejej4ree2wiwiwwi3ieiej
Answer:
-8/5
Step-by-step explanation:
x/3+1= 7/15
x/3= 7/15-1
x/3= -8/15
x= - 8/5
A.
B.
C.
D.
Does this table represent a function? Why or why not?
Answer:
Yes, Because every x-value corresponds to exactly one y-value.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left. Why? :( HELP IM TiMED
Answer: 0.01 x 10 = .1
it moved ten spaces up or in simpler terms the decimal move one space to the right because the number is getting bigger.
Step-by-step explanation:
Answer:
Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.
Divide: ((p^2-q^2)/(p+q)) ÷ ((p-q)/(p+q))
Answer:
The answer is p+q
Step-by-step explanation:
A grocery store has a discount of 13% off hand soap. At the same time the hand soap manufacturer has a coupon for $2.00 off. Assuming both promotions can be applied at the same time how much more would you pay if you applied the coupon first?
Answer:
[tex]\$0.26[/tex] has to be paid more if the coupon is applied first
Step-by-step explanation:
Given: A grocery store has a discount of 13% off hand soap. At the same time the hand soap manufacturer has a coupon for $2.00 off.
To find: how much more would be paid if the coupon is applied first
Solution:
Let $ x denotes cost of hand soap
Case 1:
If the discount is given first,
cost of hand soap = [tex]x-\frac{13}{100} x=\$ \frac{87}{100}x[/tex]
If the coupon for $2.00 off is applied,
Final cost of the hand soap = [tex]\$\,(\frac{87}{100}x-2)[/tex]
Case 2:
If the coupon for $2.00 off is applied first,
cost of hand soap = [tex]\$(x-2)[/tex]
If the discount is given then,
final cost of the hand soap = [tex](x-2)-\frac{13}{100}(x-2)=\frac{87}{100}(x-2)[/tex] = [tex]\frac{87}{100}x-\frac{87}{50}[/tex]
Here,
[tex]\frac{87}{100}x-\frac{87}{50}-\frac{87}{100}x+2=\frac{13}{50}=\$0.26[/tex]
So, [tex]\$0.26[/tex] has to be paid more if the coupon is applied first.
Answer:
$0.26
Step-by-step explanation: I took the test
Factor 12q^2+34q-28. Include list of factors.
Answer:
2(2q+7)(3q-2)=0
Step-by-step explanation:
lets set up the equation equal to 0:
12q^2+34q-28=0
now, lets factor:
2(6q^2+17q-14)=0
2(2q+7)(3q-2)=0
now, lets find the solutions:
2q+7=0
2q=-7
q=-3.5
3q-2=0
3q=2
q=2/3
Can someone please please help me
Answer:
The answer is None
Step-by-step explanation:
Multiply 6 2 and 1 and also multiply 12 4 and 2 separately now divide 96 with 12 and you get 8 which is none of the answer choices
A business office orders paper supplies from one of three vendors, V1, V2, or V3. Orders are to be placed on two successive days, one order per day. Thus, V2V3 might denote that vendor V2 gets the order on the first day and vendor V3 gets the order on the second day.
Required:
a List the sample points in this experiment of ordering paper on two successive days.
b Assume the vendors are selected at random each day and assign a probability to each sample point.
c Let A denote the event that the same vendor gets both orders and B the event that V2 gets at least one order. Find P( A), P( B), P( A U B), and P( A ∩ B) by summing the probabilities of the sample points in these events.
Find the given attachments
Suppose that the functions u and w are defined as follows.
Answer:
- 3 and 3
Step-by-step explanation:
To evaluate (u ￮ w)(- 1), evaluate w(- 1) then use this value to evaluate u(x)
w(- 1) = (- 1)² + 2 = 1 + 2 = 3, then
u(3) = - 3
---------------------------------------------------
To evaluate (w ￮ u)(- 1), evaluate u(- 1) then use this value to evaluate w(x)
u( - 1) = - (- 1) = 1, then
w(1) = 1² + 2 = 1 + 2 = 3
Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.
A. 0.7248
B. 0.0424
C. 0.1739
D. 0.9318
Bonita said that the product of 5/6 x 1 2/3 is 7/3.
How can you tell that her answer is wrong.
Answer:
Bonita's product is too large
Step-by-step explanation:
The two factors in the problem are (5/6) and (5/3). The factor 5/6 is less than 1, ensuring that the product will be less than 5/3.
Bonita's result of 7/3 is more than 5/3, so is too large to be the product.
How many pound are in 28 ounces
Answer:
1.75
Step-by-step explanation:
Divide the ounces by 16 to get the value.
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answer:
1
Step-by-step explanation:
divide vertical drop by horizontal drop
or vertical increase by horizontal increase
for example, in the graph when y increases by 1 x increases by 1
1/1=1 and thus the gradient is 1
the whole equation is y=x+3
Answer:
The slope = 1.
Step-by-step explanation:
If we count squares down for the top arrow then left to the point where the line cuts the horizontal axis we get 10 and 10.
So the slope = 10/10 = 1.
express the measure in standard notation 5 gal 6qt 48 oz
Answer: 880 oz
Step-by-step explanation:
We want to write it in the same units, let's use oz as our common unit.
1 gal = 128 oz
then 5 gal = 5*128 oz = 640 oz
1 qt = 32 oz
then 6 qt = 6*32 oz = 192 oz
Then we have:
640 oz + 192 oz + 48 oz = 880 oz
The value of standard notation is,
⇒ 880 oz
We have to given that,
Measures are,
⇒ 5 gal 6qt 48 oz
We have to change it into standard notation as,
We want to write it in the same units, let's use oz as our common unit.
1 gal = 128 oz
then 5 gal = 5 x 128 oz = 640 oz
1 qt = 32 oz
then 6 qt = 6 x 32 oz = 192 oz
Then we have:
⇒ 5 gal 6qt 48 oz
⇒ 640 oz + 192 oz + 48 oz
⇒ 880 oz
Learn more about the measurement unit visit:
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Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original numbe
Answer:
[tex]\fbox{\begin{minipage}{5em}A = 18.3\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Dan was thinking of a number.
Dan adds 10 to it, then doubles it and gets an answer of 56.6.
Solve for:
Dan's original number
Step 1: Clarify the problem:
Denote Dan's original number as A
Dan adds 10 to A => 10 + A, then
Dan doubles this sum => 2 x (10 + A), then
Dan gets an answer of 56.6 => 2 x (10 + A) = 56.6
Step 2: Solve for the defined equation:
2 x (10 + A) = 56.6
Let's divide both sides of equation by 2:
2 x (10 + A)/2 = 56.6/2
We simplify both sides after division:
10 + A = 28.3
Let's transfer all numbers to the right side, except A (the sign of 10 is changed from + to -)
A = 28.3 - 10
Let's perform the subtraction to get A:
A = 18.3
Hope this helps!
:)
what equation results from completing the square and then factoring? x^2+24x=33
a.) (x+24)^2=57
b.) (x+12)^2=57
c.) (x+12)^2=177
d.) (x+24)^=177
The factorisation of the given equation using completing square method is (x+12)²=177. Therefore, option D is correct.
The given equation is x²+24x=33.
We need to factorise the equation using completing the square method.
What is completing the square method?Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.
Now, x²+24x-33=0
Add and subtract (b/2)²=144 to the equation.
x²+24x-33+144-144=0
⇒x²+24x+144-33-144=0
⇒(x+12)²-177=0
⇒(x+12)²=177
The factorisation of the given equation using completing square method is (x+12)²=177. Therefore, option D is correct.
To learn more about completing the square method visit:
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what is the dot product of vectors
Answer:
The dot product of vectors is the method used to "multiply" vecotrs since vectors aren't directly multiplieable
Step-by-step explanation:
George is given two circles 0 and circles X as shown if he wants to prove that two circles are similar what would be the correct second step in his proof
Answer: Option A.
Step-by-step explanation:
Here we have two equations for the circumference, one for each circle:
C = 2*pi*r
C' = 2*pi*r'
now, if we take the quotient of those two equations, the left side must still be equal to the left side, this means that:
C/C' = 2*pi*r/(2*pi*r') = r/r'
So we have the relation:
C/C' = r/r'
And this is obtained for the division property of equality.
IF A = B, then as both numbers are equal, if we divide both sides by the same thing, then the equality must remain true.
Then the correct option is A.
What is the distance from point N to line LM in the figure below?
Answer:
The correct answer would be F. 7.8
Step-by-step explanation:
the line is more or less a reflection of segment ON
so they are more or less the same.
I hope this helped you!
