Answer:
multiply second eqyation by 9
Step-by-step explanation:
then subtract with 1 st eqn
A company rents paddleboards by charging a rental fee of $15 plus an hourly rate of $12. Write an expression that represents the cost in dollars of renting a paddleboard for ,h, hours.
Answer:
x= 12h +15
Step-by-step explanation:
Solve for b.
2(b + 7) = 20
b = ??
Answer:
6.5
Step-by-step explanation:
Answer:
7/9.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 20b from both sides.
Step 3: Subtract 14 from both sides.
Step 4: Divide both sides by -18.
Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare? P A. P’s surface area is less than Q’s surface area. B. P’s surface area is equal to Q’s surface area. C. P’s surface area is greater than Q’s surface area. D. There is not enough information given to compare their surface areas.
Answer:
C is the correct answer
The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and 25% extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce
Answer:
They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.
Step-by-step explanation:
12-ounce
regular = 65%
mild = 35%
extra sharp zesty blend = 75%
extra sharp mild = 25%
8,100 mild for = $1.30
3,500 extra sharp = $1.50
cost blend and package = $0.30
regular sold = $1.8
zesty = $2.10
first we calculate the cost of each product
conversion Of ounces to pounds:
1 pound = 16 ounces
regular cost:
12/16 pounds x 65% mild x $1.30
= 0.63375
12/16 pounds x 35% sharp x $1.50
= 0.39375
+ blend and package $0.30
total = $1.3275
contribution: $1.8 – $1.3275
= $0,4725
zesty cost:
12/16 pounds x 75% mild x $1.30
= 0.73125
12/16 pounds x 25% sharp x $1.50
= 0.28125
+ blend and package 0.30
total $1,3125
contribution: $2.10 – $1.3125
= $0,7875
to maximize profit:
profit = $0.4725Regular + $0.7875zetzy
adding the constraint:
mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100
and
sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100
contribution generated by each product/pound:
Regular Zesty
CM $ 0.47250 $ 0.47250
Constrain resource
( pounds of mild) 0.48750 0.56250
CM per constrain $ 0.9692 $ 1.4000
Constrain resource
( pounds of sharp) 0.26250 0.18750
CM per constrain $ 1.80 $ 4.20
As zesty is better we produce as much as we can:
8,100 pounts / 0.5625 per cheese spreads: 14,400
check for possibilities of other constraint:
14,400 zesty packages x 0.1875 pounds each = 2,700 pounds
because it’s possible we only produce zetsy
profit = $0.4725 (0) + $0.7875 (14,400)
profit = $ 11,340
A rectangular table top has an area of 8ft and a perimeter of 12ft.What are the dimensions of the table?
Answer:
Dimensions are 2 and 4
Step-by-step explanation:
Area= a*b=8
Perimeter=2(a+b)=12 => a+b = 12/2. a+b = 6
a+b=6 =>a=6-b
If a=2=>b=4 so 4+2=6 , 4*2=8 and 4*2+2*2=12
If a=4=>b=2 so 4+2=6 , 4*2=8 and 4*2+2*2=12
Dimensions are 2 and 4
The possible dimensions of the table are -
L = 2, B = 4.
or
L = 4, B = 2.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a rectangular table top has an area of 8 ft and a perimeter of 12 ft.
Let the dimensions of the rectangular table be {x} ft and {y} ft respectively.
We can write -
xy = 8 ....... Eq(1)
2(x + y) = 12
x + y = 6 ....... Eq(2)
y = (6 - x)
Then, we can write -
x(6 - x) = 8
- x² + 6x = 8
x² - 6x + 8 = 0
(x - 2)(x - 4) = 0
We get -
x = 2 and x = 4
Now,
For x = 2, y = 4.
For x = 4, y = 2.
Therefore, the possible dimensions of the table are -
L = 2, B = 4.
or
L = 4, B = 2.
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The cost of a lamp was reduced from $40 to $22.
By what percent did the cost of the lamp decrease?
A 4.5%
B 25%
C 35%
D 45%
Answer:
45 %
Step-by-step explanation:
decreasing by half would be 50 percent making it only 20 dollars. In this situation it is 2 dollars more. 45 percent of 40 is 18. subtract: 40-18=22
The decreased percent of the cost of the lamp is 45%.
What is a percentage?A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.
The cost of a lamp was reduced from $40 to $22.
Initial price = $40
Final price= $22
Decreased percentage =[tex]\frac{initial price-final price}{initial price} *100[/tex]
=[tex]\frac{40-22}{40} *100[/tex]
= 45%
Hence, the decreased percent of the cost of the lamp is 45%.
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A department store will place a sale item in a special display for a one-day sale. Previous experience suggests that 43 percent of all customers who pass such a special display will purchase the item. If 1,462 customers will pass the display on the day of the sale, and if a one-item-per-customer limit is placed on the sale item, how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale? Assume here that customers make independent purchase decisions. (Round your answer to nearest whole number.)
Number of units?
Answer:
672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale
Step-by-step explanation:
No. of customers pass the display on the day of sale = 1462
Proportion of people will purchase if pass such a special display = 0.43
Mean = E(X)=np
E(X)=[tex]1462 \times 0.43[/tex]
E(X)=628.66
Standard deviation = [tex]\sqrt{npq}[/tex]
Standard deviation =[tex]\sqrt{1462 \times 0.43 \times (1-0.43)}=18.92[/tex]
Now we are supposed to find how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale
P(X<x)=0.01
Using z table
[tex]P(\frac{x-\mu}{\sigma})= 2.33 \\\frac{x-628.66}{18.92}=2.33\\x=(2.33 \times 18.92)+628.66\\x=672.7436[/tex]
Hence 672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale
The number of units should be 672.7436 units.
Calculation of number of units:Since No. of customers pass the display on the day of sale is 1462 and the proportion of people who will purchase if pass such a special display is 0.43
So,
Mean should be = 43% of 1,462
= 628.66
Now the standard deviation should be
[tex]= \sqrt{1462 \times 0.43 \times (1-0.43)}[/tex]
= 18.92
Now the number of units should be
[tex]x - 628.66 \div 18.92 = 2.33[/tex]
x = 672.7436
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I really need help. So one please help me it will be greatly appreciated.
Answer:
C
Step-by-step explanation:
Do someone know how much is 3/4 of 12?
3/4 of 12 is 9
I hope it helps!
Answer:
9 is 3/4 0f 12
Step-by-step explanation:
Multiply by the numerator of the fraction and divide by the denominator.
You can do this in either order.
12 × 3 = 36 then 36 ÷ 4 = 9 OR
12 ÷ 4 = 3 then 3 × 4 = 9
At an argheological site, the remains of two ancient step pyramids are congruent. If ABCD=EFGH, find m/_EHG.
Answer:
m∠EHG = 68
Step-by-step explanation:
If the two ancient step pyramids are congruent,
ABCD ≅ EFGH
All the angles and sides of the two pyramids will be congruent.
By the property of congruence,
Base angles of both the pyramids will be congruent.
m∠ADC = m∠EHG = 68°
Therefore, m∠EHG = 68 will be the answer.
explain the amplitude .....?? please as fast as u can
Answer:
Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!!!!!!!
Answer: c is the answer
`jae is costructing an open box froma piece of cardboard that is 9in. wide and 12in. long.
Answer:4
Step-by-step explanation:
Identify the fraction that is equivalent to 3/8
A:15/32
B:12/32
C:12/24
D:9/32
Answers:
A. x=8
B. x= square root of 20
C. x=4
D. x= square root of 34
Answer:
C - x=4
Step-by-step explanation:
The formula is a^2+b^2=c^2
A store is having a sale on almonds and jelly beans. For 2 kilograms of almonds and 3 kilograms of jelly beans, the total cost is $11. For 6 kllograms of almonds and 5 kilograms of jelly beans, the total cost is $23. Find the cost for each kilogram of almonds and each kilogram of jelly beans.
Find cost for each kilogram of almonds :?
Ans find the cost for each kilogram of jelly beans :?
Answer:
The cost of each kg of almonds is $1.75
The cost of each kg of jelly beans is $2.5
Step-by-step explanation:
We will use the system of linear equations to solve the question
Assume that the cost of 1 kg of almonds is $x, and the cost of 1 kg of jelly beans is $y
∵ For 2 kilograms of almonds and 3 kilograms of jelly beans,
the total cost is $11
→ Multiply 2 by x and 3 by y, then equate their sum by 11
∴ 2x + 3y = 11 ⇒ (1)
∵ For 6 kilograms of almonds and 5 kilograms of jelly beans, the
total cost is $23
→ Multiply 6 by x and 5 by y, then equate their sum by 23
∴ 6x + 5y = 23 ⇒ (2)
Now we need to solve this system of equations to find the values of x and y
→ Multiply equation (1) by -3 to make the coefficient of x in it equals
the coefficient of x in equation (2) in values and differences in signs
∵ -3(2x) + -3(3y) = -3(11)
∴ -6x + -9y = -33 ⇒ (3)
→ Add equations (2) and (3) to eliminate x
∵ (6x + - 6x) + (5y - 9y) = (23 + -33)
∴ -4y = -10
→ Divide both side by -4 to find the value of y
∵ [tex]\frac{-4y}{-4}=\frac{-10}{-4}[/tex]
∴ y = 2.5
→ Substitute the value of y in equation (1) to find x
∵ 2x + 3(2.5) = 11
∴ 2x + 7.5 = 11
→ Subtract 7.5 from both sides
∵ 2x + 7.5 - 7.5 = 11 - 7.5
∴ 2x = 3.5
→ Divide both sides by 2 to find the value of x
∵ [tex]\frac{2x}{2}=\frac{3.5}{2}[/tex]
∴ x = 1.75
∵ x represents the cost of 1 kg of almonds
∴ The cost of each kg of almonds is $1.75
∵ y represents the cost of 1 kg of jelly beans
∴ The cost of each kg of jelly beans is $2.5
Lorena's baby brother is exactly 23 weeks old. How many hours old is Lorena's baby brother?
Answer:
3864
7*24=168
168*23=3864
Step-by-step explanation:
Based on the number of weeks that Lorena's baby brother has aged, in hours, the baby is 3,864 hours.
Lorena's baby brother is 23 weeks old.
First find out the number of hours in a week:
= Number of hours in day x number of days in week
= 24 x 7
= 168 hours
In 23 weeks, the baby brother would be:
= 168 x 23 weeks
= 3,864 hours
In conclusion, her brother is 3,864 hours old.
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A researcher wants to test to see if husbands are significantly older than their wives. To do this, he collects the ages of husbands and pairs them with the ages of their respective wives for a random set of married couples. Suppose that data were collected for a random sample of 12 couples, where each difference is calculated by subtracting the age of the wife from the age of the husband. Assume that the ages are normally distributed. The test statistic is t≈1.434, α=0.05, the corresponding rejection region is t>1.796, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd>0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the age of the husband and the age of the wife is greater than zero?
Complete Question
The complete is shown on the first uploaded image
Answer:
The correct option are option 2 and option 4
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The test statistics is [tex]t \approx 1.434[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The rejection region is t>1.796
The null hypothesis [tex]H_o: \mu_d=0[/tex]
The alternative hypothesis is [tex]H_a : \mu_d >0[/tex]
From the given values we see that t < 1.796(i.e 1.434 < 1.796 ) which implies that t is not within the rejection region
Hence we fail to reject the null hypothesis
The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.
Solve for x: 3x − 24 = 81
fifty-seven over three
one hundred five over three
57
105
Answer: one hundred and five over three
Step-by-step explanation:
Answer: 57 i did the test
Step-by-step explanation:
Pete has 5 marbles . Jay has a number of marbles that is two more than 5 . How many marbles does jay have?
Answer:
The answer is 7
Step-by-step explanation:
Answer:
7 marbles
Step-by-step explanation:
You would put five first because that's how much marbles pete had and for jay you just add a 2.
5+2=7
Hope this helps:)
Kelsey wants to buy a new video game.
he has a $50 gift card and wants to spend less than $20 on his own money.
which of the following amounts would kelsey be willing to spend on the video game?
a. $75
b. $70
c. $65
Answer: c: $65
Step-by-step explanation:
The triangles shown below must be congruent.
60°
60"
12
12
101
619
O A. True
O B. False
Answer:
true
Step-by-step explanation:
m
m
m
What is the measure of Z CZD?
PLEASE HELP!
9514 1404 393
Answer:
34°
Step-by-step explanation:
∠FZE and ∠BZC are vertical angles, so are congruent. The angle sum theorem tells us ...
∠BZC +∠CZD = ∠BZD
(2x+5) +x = 107
3x = 102
x = 34
The measure of ∠CZD is 34°.
5 x 9 = 45 times as many is
20 POINTS!! what is the slope of this line
Answer: I really don't know?????
Step-by-step explanation:
Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree. \Large{^\circ} ∘ degrees
Answer:
The answer is that the measure of ∠α is ≈ 20° when rounded to the nearest °
Step-by-step explanation:
To find the measure of ∠α you need to use the reciprocal of the formula for the law of sine which says that a/Sinα = b/Sinβ = c/Sin C. The reciprocal of this gives the new equation that states Sinα/a = Sinβ/b = Sin C/c, and this will help you to find the measure of the missing angle in °'s.
In the triangle line segment BC = 5units is opposite to point A & ∠α. Line segment AC = 7units is opposite of point and ∠β which is = 28°. And finally, the hypotenuse length and the values of point C & ∠C are unknown, so they aren't important to solving the problem. Knowing all this you can plug in all the known values into the new formula, and start working on figuring things out.
To find the measure ∠α, you first write down everything, putting things into their proper places, so since you're solving for sinα you want the equation to look like this:
sinα/5 = sin28°/7
Then for the second step, you want to isolate the sinα. (To get it by itself × both left and righthand sides by 5 to begin simplifying).
This leaves you with :
sinα = sin28°÷7 · (5) [And allows you to now solve for the right side of the equation, bringing us to our third step which is to once again simplify. So what you want to do is whip out your calculator and set it to degree mode, so you can find the of sin28° which is = 0.46947156278. Then ÷ that by 7, which will get you a number = 0.06706736611. Finally, take 0.06706736611 × 5, and you will get the value = 0.33533683056, as your final answer in the third step]
Your equation should now look something like this :
sinα = 0.06706736611 × 5 or 0.33533683056
Moving onto the fourth step, you need to use the inverse of the trig function of sin to get your absolute value. (remember the inverse of sine or acrsin = sin^-1) Here you will need to multiply sin^-1 by 0.33533683056.
And also by now, you'll want to stop writing the equation as sinα = sin^-1 ×
0.33533683056, otherwise you won't get an answer, instead, you'll need to write:
α = sin^-1 × 0.33533683056
So once you do that for the fifth and final step, you'll need to simplify the equation on the righthand side one last time, and you should get the answer of α = 19.5930217327°. Which when rounded to the nearest ° is ≈ 20°.
Dwellings Elevation (m)
Robin's nest 2.6
Groundhog burrow -14
(a) Plot and label the elevation of each dwelling on a vertical number line.
(b) Calculate the vertical distance between Robin’s net and the Groundhog Burrow by subtracting
Step-by-step explanation:
The nest is at 2.6 m, and the dwelling is at -14 m. So the vertical distance is:
2.6 m − (-14 m) = 16.6 m
I need help please I’m struggling in this Question can you please help me .
Answer:
i forget how to get it :)
Step-by-step explanation:
Answer: B
Step-by-step explanation: logical answer but if its nit right my bad
Help plz and thank you I would appreciate it
Answer:
Positive Slope
Step-by-step explanation:
The slope is going up Right
Simplify 3x*3y^2/9xy^5 and explain please