Answer:
Bath towels = $32
Hand towels = $18
Step-by-step explanation:
Given:
5b - 2h = 124 (1)
3b - 4h = 24 (2)
Multiply (1) by 2 to eliminate h
10b - 4h = 228 (3)
3b - 4h = 24 (2)
Subtract (2) from (3)
10b - 3b = 248 - 24
7b = 224
b = 224 / 7
b = 32
Substitute b = 32 into (2)
3b - 4h = 24
3(32) - 4h = 24
96 - 4h = 24
-4h = 24 - 96
-4h = -72
h = -72 / -4
= 18
h = 18
Bath towels = $32
Hand towels = $18
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
through the points (-3, 1) and (2,-2) is
(A) 5x2 + 3y =32 (B) 3r? + 5y = 32 (C) 5x° - 3y2 = 32 (D) 3x* + 5y? + 32 = 0
Equation of the ellipse = 3x² + 5y² = 32
Step-by-step explanation:Given:The centre of the ellipse is at the origin and the X axis is the major axisIt passes through the points (-3, 1) and (2, -2)To Find:The equation of the ellipseSolution:The equation of an ellipse is given by,
[tex]\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1[/tex]
Given that the ellipse passes through the point (-3, 1)
Hence,
[tex]\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1[/tex]
Cross multiplying we get,
9b² + a² = 1 ²× a²b²a²b² = 9b² + a²Multiply by 4 on both sides,
4a²b² = 36b² + 4a²------(1)Also by given the ellipse passes through the point (2, -2)
Substituting this,
[tex]\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1[/tex]
Cross multiply,
4b² + 4a² = 1 × a²b²a²b² = 4b² + 4a²-------(2)Subtracting equations 2 and 1,
3a²b² = 32b²3a² = 32a² = 32/3----(3)Substituting in 2,
32/3 × b² = 4b² + 4 × 32/332/3 b² = 4b² + 128/332/3 b² = (12b² + 128)/332b² = 12b² + 12820b² = 128b² = 128/20 = 32/5Substituting the values in the equation for ellipse,
[tex]\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1[/tex]
[tex]\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1[/tex]
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
Hence equation of the ellipse is 3x² + 5y² = 32Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
hours did Sidney skate in all?
Answer:
the number of hours does sidney skate in all is 9.8 hours
Step-by-step explanation:
The computation of the number of hours does sidney skate in all is as follows:
= Last month + this month
[tex]= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}[/tex]
= 9.8 hours
Hence, the number of hours does sidney skate in all is 9.8 hours
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?
Mrs.Giblin begins hiking at mile marker 25 on the Appalachian Trail and hikes 3 miles every hour. What is the slope?
Answer:
3 miles
Step-by-step explanation:
Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles
This is the change in miles / change in time.
Chang in miles = 3
Change in time = 1
Slope = 3/1
Slope = 3
Type the missing number in this sequence:
1, 2, 5, 10, , 26, 37, 50
a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.
Answer:
25%
Step-by-step explanation:
Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%. You have 25% ($30) as the discount because 90 is 75% of $120.
Given the equation 2x + 4 = 4x - 2, select the reasoning that correctly solves for x.
1) Add 2, subtract 2x, then divide by 2.
2) Add 2, subtract 4x, then divide by -2.
3) Subtract 4, subtract 2x, then divide by-2.
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
option A.
Step-by-step explanation:
2x + 2 + 4 = 4x - 2 + 2
2x - 2x + 6 = 4x - 2x
3 = x OR x = 3
Find the value of x when 6 - 4x = 7X-9x - 4.
The value of x is ..
Answer:
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
x-3y=7
2х-6у=12
Solve the following systems
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
16. In the figure below, lines A and B are parallel.
Answer:
the angle measurement is 75
Step-by-step explanation:
Simplify (a+b)(a^2-ab+b^2)
Answer: a^3 - b^3
Step-by-step explanation:
if you can tell me the answer please do i need help besties
Answer:
51
Step-by-step explanation:
8.5/1
and
x/6
cross multiply
51=x
What number replaces ☺ to make the sentence true? 1 + 3 + 4 + 6 + 6 + 8 + 9 + 11 = 4 × ☺.
Answer:
12
Step-by-step explanation:
A line passes through the points (4, -1) and (2,3). What is the slope of the line?
Select the statement that is FALSE.
A.
A square has four right angles and four equal sides.
B.
A rectangle has four right angles.
C.
A rhombus has four right angles.
Answer:
C
Step-by-step explanation:
if a rhombus has 4 right angles it wpuld be a square
The price of an item at the store can be defined by the variable h. Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A) 1.05h
B) 1.15h
C) 1.03h
D) 0.95h
E) 0.8h
please help this is the last question i have, at least for now :(
Answer:
i just took the test the answer is A,B and C.
Step-by-step explanation:
Answer:
ABC
Step-by-step explanation:
Plssss I need help this question is really hard to find and I need this back quickly pls help me :(
Answer:
A) $402,500
Step-by-step explanation:
69100-57600= 11,500
11,500 x 35= 402,500
hey does anyone know what the heck type of questions they ask on a DBA for math on module 05.11? it's my first DBA
i need step by step help pls someone help me and quick!
Answer:
i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling
consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?
Because the answer to X is a negative number, and negative numbers are needed for negative answers
Answer: because it won’t make sense if it was 74y it has to have an equation or expression.
Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.
ill give brainiest and 30 points
Answer:
50 feet
Step-by-step explanation:
According to the Pythagorean theorem a^2+b^2=c^2 and if you put it into this equation it is 30^2 + 40^2 =50^2 which does work out
I dont feel like typeing right now (its 50 )So here's my answer.
Solve the system of linear equations by using the elimination method:
4x+ y = 36
8x- y = 60
Answer:
(8,4)
Step-by-step explanation:
y and -y cancels out leaving you with "12x=96"
that simplifies to "x=8"
Then you substitute 8 into the "x" from either equation and y should equal 4
(3 + 4q)(3) simplified
four friends go out for lunch. Each person orders 1 drink for $1.50 and 3 tacos. The total cost for all 4 people is $24. What is the price of one taco.
▪︎Let x represent the price of one taco. Which equation represents the problem?
1. 4(1.50+x) = 24
2. 4(1.50+3x) = 24
3. 1.50+3x = 24
4. 3(1.50+4x) = 24
Answer:
The answer is B
Step-by-step explanation:
I just got it right on iready
(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??
A. Kenneth makes $232.60
B. Kevin makes $208.20
C. Kevin makes $73.20
D. They both make $440.00
E. Kenneth makes $219.60
Answer:
I think the asnwer A or B !!
Step-by-step explanation:
Help me pleaseeeeeee I put an atachment
Help please will mark brainlist!!!
Answer:
radius was given
V=1570 ft cubed
Step-by-step explanation:
Volume of a cylinder= 3.14(r^2)h
=3.14(10^2)5
=15.7(100)
=1570
If you were dividing X6 + 4x3 + 2, how many O's would you
need when setting up the top row of your synthetic
division?
Answer:
how many O's u would use would be 4
Step-by-step explanation:
1.1. Which statement explains why the two systems of equations below have the
same solution?
A(6x + 8y = -10
2x - 5y = 12
B
8x + 3y = 2
12x + 16y = - 20
A. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the second equation in A by 6.
B. The first equation in B is the sum of the equations in A, while the other is obtained
by multiplying the first equation in A by 2.
C. The equations in A are increased by 12 and -32 to get the equations in
D. The equations in A are multiplied by 2 and 4 to get the equations in B.
Answer:
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Step-by-step explanation:
As given,
A : 6x + 8y = -10 .......equation (1)
2x - 5y = 12 .......equation (2)
B : 8x + 3y = 2 .......equation (1)
12x + 16y = - 20 .......equation (1)
Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
Proof :
The first part says that ,
Sum of equation (1) of A and equation (2) of A = Equation (1) of B
Firstly , find the Sum of equation (1) of A and equation (2) of A
⇒6x + 8y + 2x - 5y = -10 + 12
⇒8x + 3y = 2
this is same as equation (1) of B
So, it satisfies the first part
The second part says that,
The equation (2) of B is obtained by multiplying the first equation in A by 2.
It means , if the equation (1) is multiplied by 2 = equation (2) of B
Firstly , if the equation (1) is multiplied by 2 , we get
2 ( 6x + 8y = -10 )
⇒ 2 ( 6x + 8y ) = 2 ( -10)
⇒ 12x + 16y = -20
this is same as equation (2) of B
So, it satisfies the second part.
8=−2/5c
Help me
I’m single ready to mingle
Answer:
-20
Step-by-step explanation:
First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.