The quantity of bowls of soup are left in the pot aftee serving her family is 16 cups
How many cups are left?Quantity of chicken noodle soup made = 6-quartNumber of people in Kimberly's family = 4Volume of bowl = 2 cupsConvert quarts to cups:
1 quarts = 4 cups6 quarts = 24 cupsTotal quantity of soup served = Number of people in Kimberly's family × Volume of bowl
= 4 × 2
= 8 cups
Quantity of bowls of soup are left in the pot = Quantity of chicken noodle soup made - Total quantity of soup served
= 24 cups - 8 cups
= 16 cups
In conclusion, 16 cups of soup are left in the pot after serving.
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what is is distance between (0,2) and (5,2)
When the length of each edge of a cube is increased by 1 cm, the volume is increased by 37 cm3.
What is the length (in centimeters) of each edge of the original cube?
original length =3cm
Answer:
solution given;
let length be x
its
volume be x ³
we have when length is increased by 1cm volume increased by 37cm³ so
(x+1)³=x³+37cm³
x³+1³+3x²+3x=x³+37
3x²+3x-36=0
3(x²+x-12)=0
x²+4x-3x-12=0
x(x+4)-3(x+4)=0
(x+4)(x-3)=0
either
x=-4 rejected
or
x=3cm
The length (in centimeters) of each edge of the original cube will be 3.
How do you calculate the volume of a cube?Assume the side length of the cube under consideration is L units. The volume of the cube is then equal to L³ cubic units.
We have when length is increased by 1 cm volume increased by 37 cm³, so from the given condition the equation formed as;
(L+1)³=L³+37 cm³
Open the bracket and apply the necessary identities;
L³+1³+3L²+3L=L³+37
3L²+3L-36=0
3(x²+x-12)=0
Applying the factorization method;
L²+4L-3L-12=0
L(L+4)-3(L+4)=0
(L+4)(L-3)=0
L=-4 cm (Negative length is not possible.)
L=3cm
Hence,the length (in centimeters) of each edge of the original cube will be 3.
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Given that △DEF is a right triangle and that ∠E=90° with sides DE¯¯¯¯¯=3, DF¯¯¯¯¯=5, and FE¯¯¯¯¯=4, which ratio would be equal to sin(D)?
9514 1404 393
Answer:
sin(D) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(D) = FE/DF
sin(D) = 4/5
Please answer quickly! Will mark brainliest
Answer: C) 1/a^12•b^8
Step-by-step explanation:
You have $400,000.00 saved in a retirement account paying 4% interest compounded monthly and are ready to start your retirement. You have to figure out how much money you can safely take out of your account every month because you don't want to run out of money before you die.
How much money can you take out each month if you expect to live another 25 years?
9514 1404 393
Answer:
$2,104.33 at the beginning of the month, or
$2,111.35 at the end of the month
Step-by-step explanation:
The amount you can withdraw at the end of the month is given by the annuity formula ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where principal P is earning annual rate r for t years
A = $400,000(0.04/12)/(1 -(1 +0.04/12)^(-12·25)) ≈ $2,111.35
If the withdrawal is at the beginning of the month, then the amount is less by a factor of (1+0.04/12) ≈ 1.003333. It will be $2,104.33.
You randomly select one card from a 52-card deck. Find the probability of selecting a two or a five.
Answer:
2/13
Step-by-step explanation:
there are 4 5s and 4 2s so
8/52
simplified is 2/13
What two numbers add up to 4 and multiply to -60
Answer:
10 + -6
Step-by-step explanation:
add them up to 4 and multiply to -60
-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.
Answer:
From least to greatest, the correct order is: [tex]-\frac{157}{20}[/tex]; -7.666....; -7.64; and [tex]\sqrt{50}[/tex].
Step-by-step explanation:
Since [tex]\sqrt{50}[/tex] is the only positive number, that means that it will be the greatest number on the list. [tex]-\frac{157}{20}[/tex] is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is [tex]-\frac{157}{20}[/tex]; -7.666...; -7.64; and [tex]\sqrt{50}[/tex].
la masa de un camión de 45000000
Explicación:
conversión de 45.000.000 gr a kg
45.000.000 gr ( 1 kg / 1000 gr) = 45.000 kg
conversión de 45.000 kg a toneladas
45.000 kg ( 1 ton / 1000 kg) = 45 ton
Respuesta: Espero te sirva...
The reverse of adding 6 is:
A. dividing by 6
B. adding 1/6
C. subtracting 6
D. adding 6
E. multiplying by 6
F. subtracting 1/6
Answer:
C. subtracting 6
Step-by-step explanation:
If you add 6 to a number then subtract t you get the same number because they are inverse operations
Hope I helped! (p.s. maybe brainliest answer)
Plz help I am very confused on this
Answer:
(-4, 0)
Step-by-step explanation:
(-4, 0)
Joel went to the market to buy a juicy watermelon and found the volume was 523.6 mm. what is the radius of the watermelon? round to the nearest whole number.
Answer:
The radius of the watermelon was 5 milimeters.
Step-by-step explanation:
Since Joel went to the market to buy a juicy watermelon and found the volume was 523.6 square mm., To determine what is the radius of the watermelon, the following calculation must be performed, knowing that the volume of a sphere is equal to four thirds multiplied by pi, multiplied by the radius cubed:
4/3 x 3.14 x X^3 = 523.6
4.186 x X^3 = 523.6
X^3 = 523.6 / 4.186
X = 3√ 125.06
X = 5
Therefore, the radius of the watermelon was 5 milimeters.
A cylinder has a volume of 8792 cubic units. If the height is 7 cubic u it’s which of the following is the radius
Answer:
20 units
Step-by-step explanation:
Volume of a cylinder = πr²h
V = πr²h
height, h = 7
V = π * r² * 7
V = 8792
8792 = 21.991148 * r²
r² = 8792 / 21.991148
r² = 399.79722
r = √399.79722
r = 19.99unit
r = 20 units
You have one type of nut that sells for $4.50/lb and another type of nut that sells for $8.00/lb. You would like to have 28 lbs of a nut mixture that sells for $7.80/lb. How much of each nut will you need to obtain the desired mixture?
You will need
lbs of the cheaper nut
and
lbs of the expensive nut.
Answer:
I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Step-by-step explanation:
Since I have one type of nut that sells for $ 4.50 / lb and another type of nut that sells for $ 8.00 / lb, and I would like to have 28 lbs of a nut mixture that sells for $ 7.80 / lb, to determine how much of each nut will I need to obtain the desired mixture, the following calculation must be performed:
8 x 0.95 + 4.5 x 0.05 = 7.825
8 x 0.94 + 4.5 x 0.06 = 7.79
0.94 x 28 = 26.32
26.4 x 8 + 1.6 x 4.5 = 218.4
218.4 / 28 = 7.8
Thus, I will need 26.4 pounds of the expensive nuts and 1.6 pounds of the cheap nuts.
Please give me the correct answer
Answer:
-63
Step-by-step explanation:
5×9 = 45
45/-5 = -9
-9×7 = -63
How do u go pro at skateboarding? Also why is my baseball cup so uncomfortable?
Answer:
You can probably go pro at skating by just practicing a ton and learning new skills and tricks that separates you from other skaters. Its not very hard to be a "pro", its hard to make money off of skating because of the lack of audience it has. Also, I assume your baseball cap is uncomfortable because of the material or your hair.
Hope that helps
A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?
Answer:
1/10 gallon
Step-by-step explanation:
2/5 left of 1/4 gallon
2/5 x 1/4 = 2/20 = 1/10 gallon
what is 381.7 rounded to the nearest tenth?
It took 3 yards of gauze dressing to wrap the patient's arm. How many inches of gauze dressing was used?
Any help would be appreciated
1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)
Answer:
170
Step-by-step explanation:
How the sales tax de-calculator works
Step 1: take the total price and divide it by one plus the tax rate.
Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
Step 3: subtract the dollars of tax from step 2 from the total price.
Pre-Tax Price = TP – [(TP / (1 + r) x r]
TP = Total Price.
A merchant sells goods which cost $240 for $299. What percentage is his profit of the cost price?
Answer:
24.58%
Step-by-step explanation:
Given that,
Initial cost = $240
Final cost = $299
We need to find the percentage in his profit of the cost price.
Profit = Final cost - Initial cost
= $299 - $240
= $59
Percentage,
[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]
So, the required percentage is equal to 24.58%.
please help and show work
Find the slope of the line passing through the points (5,-2) and (9,18) PLEASE HELP I NEED WORK SOWN AND IM BEING TIMED I HAVE 30 MIN LEFT giving 15 points I NEED A GOOD GRADE
Answer:
m = 5
Step-by-step explanation:
(5,-2) and (9,18)
Slope:
m=(y2-y1)/(x2-x1)
m=(18+2)/(9-5)
m=20/4
m = 5
Check the pic please
I also want the steps pleaseee
Answer:
E) 5.4m
Step-by-step explanation:
ratio of triangle FGH : triangle JKL => 2.1 : 1.4
perimeter of triangle FGH = x
2.1 : 1.4 = x : 3.6
=> 1.4x = 2.1 × 3.6
=> x = 2.1 × 3.6 ÷ 1.4 = 5.4
1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.
Answer:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
Step-by-step explanation:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
What is the y value in the system of equations shown below?
y = 5 - 1/2x
3x - 2y = 6
If 55% of a number is 209 and 35% of the same number is 133, find 90% of that number.
Answer:
205 is 55% of 372 and is 335 90% of 372
Step-by-step explanation:
What is 4 1/7 in simplest form ??
Answer:28
Step-by-step explanation:
Answer:
29/7 or in decimal form: 4.1428...
wyoming electric coop owns a steam-turbine power-generating plant. because wyoming is rich in coal deposits, the plant generates its steam from coal. this, however, may result in emission that does not meet the environmental protection agency (epa) standards. epa regulations limit sulfur dioxide discharge to 2000 parts per million per ton of cual burned and smoke discharge from the plant stacks to 20 ib per hour. the coop receives two grades of pulverized coal, c1 and c2, for use in the steam plant. the two grades are usually mixed together before burning. for simplicity, it can be assumed that the amount of sulfur pollutant discharged (in parts per million) is a weighted average of the proportion of each grade used in the mixture. the following data is based on the consumption of 1 ton per hr of each of the two coal grades. sulfur discharge smoke discharge steam generated coal grade in parts per million in ih per hour in ib per hour cl 1800 2.1 12,000 c2 2100 3 9,000 (a) determine the optimal ratio for mixing the two coal grades. (b) determine the effect of relaxing the smoke discharge limit by 1 ib on the amount of generated steam ner hour.