Answer:
13 glasses
Step-by-step explanation:
Given:
Amount of of lemonade available = 20⅜ cups
Amount of lemonade per guest = 1½ cups
Required:
Number of glasses to be filled
SOLUTION:
Number of glass to be filled = amount of lemonade available ÷ amount of lemonade per guest
= 20⅜ ÷ 1½
Change both mixed fractions to improper fractions
= [tex] \frac{163}{8} [/tex] ÷ [tex] \frac{3}{2} [/tex]
Flip the fraction on your right upside down and change the division to multiplication
[tex] = \frac{163}{8} * \frac{2}{3} [/tex]
[tex] = \frac{163*2}{8*3} [/tex]
[tex] = \frac{163*1}{4*3} [/tex]
[tex] = \frac{163}{12} = 13.58 [/tex]
Number of glasses that would be filled is roughly 13 glasses.
Find the perimeter P of ▱JKLM with vertices J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2). Round your answer to the nearest tenth, if necessary.
Given:
Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).
To find:
The perimeter P of a parallelogram JKLM.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]
[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]
[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]
[tex]JK=\sqrt{4+9}[/tex]
[tex]JK=\sqrt{13}[/tex]
Similarly,
[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]
[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]
[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]
Now, perimeter P of ▱JKLM is
[tex]P=JK+KL+LM+JM[/tex]
[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]
[tex]P=2\sqrt{13}+12[/tex]
[tex]P=2(3.61)+12[/tex]
[tex]P=7.22+12[/tex]
[tex]P=19.22[/tex]
[tex]P\approx 19.2[/tex]
Therefore, the perimeter P of ▱JKLM is 19.2 units.
Determine that table of values for these simultaneous equations.
5x+y=7
3x-y= 1
Answer:
What we suppose to be answering?
Step-by-step explanation:
The owner of Animal Lovers Pet Shop just got a delivery of 315 bags of cat food and you need to put the bags on 9 shelves. How many bags will be put on each shelf? Explain the long division steps you used to find your answer
Answer:
Sample Response: Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.
Step-by-step explanation:
heres the sample response <3
Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.
Step-by-step explanation:
i did the test on edge
What number is 10th times as much as 17.1
Answer: 170
Step-by-step explanation:
you move the decimal to the right one time.
help me asap!!!!!!!!?!??
Answer:
9.225 x 10^18 is what it is in standard form
Step-by-step explanation:
Answer:
ummm, it should be 9,225,000,000,000,000,000. =D
Step-by-step explanation:
move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!
12) Twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100
pounds. Write and solve an absolute-value inequality for the possible weights of a
cubic foot of marble.
Answer:
Let's suppose that one cubic foot of marble is x.
20x = 3400
But because the weight has a range of +-100, then 20x is between 3300 and 3500. Write it like this:
3300<20x<3500
Divide by 20:
165<x<175
The meaning of this is that one cubic foot of marble weight between 165 and 175 pounds
The obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.
Given that, twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100 pounds.
What is an absolute-value inequality?Absolute value inequalities are inequalities in algebra that involve algebraic expressions with absolute value symbols and inequality symbols. In simple words, we can say that an absolute value inequality is an inequality with an absolute value symbol in it. It can be solved using two methods of either the number line or the formulas. An absolute value inequality is a simple linear expression in one variable and has symbols such as >, <, ≥, ≤.
Now, the weight has a range of ±100, then 20x is between 3300 and 3500.
That is, 3300<20x<3500
Divide the inequality by 20.
So, 165<x<175
Therefore, the obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.
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A 3-column table has 3 rows. Column 1 is labeled Item with entries bread, peanut butter, jelly. Column 2 is labeled Quantity with entries 25 loaves, 2,400 ounces, 2,400 ounces. Column 3 is labeled unit price with entries 1 dollar and 95 cents per loaf, 16 cents per ounce, 8 cents per ounce. The table shows the quantity and unit prices for the items Camillo bought. Total cost for bread: ...? Total cost for peanut butter: .....? Total cost for jelly: ....? If he would have spent $986.50 without better-buy unit prices, how much money did he save?
Answer:
Bread total: 48.75
Penute butter: 384
Jelly: 192
He would have saved 361.75
Step-by-step explanation:
986.50- 48.75- 394-192= 361.75
what are the ordered pairs for this figure
Answer:
A (4, -5)
B (-4, 5)
C (0, -6)
D (-3, -6)
E (3, 0)
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f(x) = 2x – 1 What is f(13)?
Answer:
f(13) = 25Step-by-step explanation:
f(x) = 2x – 1
To find f(13) substitute the value of x that's 13 into f(x). That is for every x in f (x) replace it with 13
We have
f(13) = 2(13) - 1
= 26 - 1
We have the final answer as
f(13) = 25Hope this helps you
If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.
Answer:
34
Step-by-step explanation:
Answer:
5 people wil be left there as you werw also there.
- 5 choose vanilla
-
10 choose strawberry
What percent of Tristan's classmates choose
strawberry as their favorite type of
icecream?
Imagine a population of 100 individuals, with the initial frequencies A1 = 0.7 and A2 = 0.3. If A1 and A2 are selectively neutral what is the probability that the A2 allele will drift to fixation?
a. 70%
b. 30%
c. 3%
d. 0
Answer: b. 30%
Step-by-step explanation:
given data:
population size (n) = 100
A1 = 0.7
A2 = 0.3
if A1 and A2 are selectively neutral, the probability that A2 would drift to fixation
= 0.3
= 30%
there is a. 30% chance that A2 would drift towards fixation.
4. At 7:30 a.m., the temperature in Cloud City was - 22°F. By 8:45 a.m., the temperature had risen 37 degrees. What was the temperature at 8:45 a.m.? At 8:45 a.m., the temperature was [3°F .
Answer:
15°F
Step-by-step explanation:
Divide -4-i/2+3i i , write answer in standard form a + bi This is a multiple choice question, pick one of the choices for your answer.
-11/13 + 10/13 i
-11/13 - 10/13 i
-11/5 + 2i
-11/5 -2i
Answer:
Step-by-step explanation:
[tex]\frac{-4 - i}{2 + 3i} * \frac{2 - 3i}{2 - 3i} = \frac{-8 + 12i - 2i + (3i)^{2} }{4 - 3i^{2} } = \frac{-11 - 10i}{4 + 9}= \frac{-11 - 10i}{13}[/tex]
the answer is b
In matrix T, what is the value of element t13?
Time spent making phone calls
Rows represent the person calling
Columns represent the person called
Answer:
7
Step-by-step explanation:
In matrix T, the value of t₁₃ will be 7.
What is Matrix?A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.
We have to given that;
The matrix T is shown.
We know that;
In any matrix,
⇒ The element a₁₁ shows the position of a₁₁ is in first row and first column.
Thus, The element t₁₃ shows the position of t₁₃ is in first row and third column.
So, In matrix T,
⇒ t₁₃ = 7
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I can go alone and fly and get 20% off
the regular round-trip fare of $380.
I will have to take a taxi to and
from the college at a cost of $6.30 per
trip. I will have to be on compus
for 2 extra meals at a cost of $4.75 per
meal, and I will need to make
telephone calls to my parents at a cost
of $15.
What is the price of the student round-trip fare?. What is the total cost of the taxi fare?. What is the total cost to visit the college
What is the value of the following(Please show work)
3x- 1 when x=2
2x - 3+4x when x=-1
Y^2- 6y= 9 when y = 4
Please go FAST!!
Answer:
1) 3( 2) - 1 = 6 - 1 = 5
2) 2(-1) - 3+4(-1) = -2 -7 = -9
3) 4^2-6(4)=9 = 16-24=9, = -8=9
I need help on this question (6w^8)^3. must have only one exponent
Answer:
[tex]216w^{24}[/tex]
Step-by-step explanation:
[tex]\left(6w^8\right)^3[/tex]
[tex]6^3\times \left(w^8\right)^3[/tex]
[tex]216\times \left(w^8\right)^3[/tex]
[tex]216w^{8\times3}[/tex]
[tex]216w^{24}[/tex]
Answer:
6w^24
Step-by-step explanation:
(6w^8)^3
6w^8*3
6w^24
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Solve for g.
C=1/2gq
Answer:
[tex] g = \frac{2c}{q}[/tex]
Step-by-step explanation:
[tex]c = \frac{1}{2} gq \\ 2c = gq \\ \huge \red{ \boxed{ g = \frac{2c}{q} }}[/tex]
Answer:
g = 2C/q
Step-by-step explanation:
C * (2) = 1/2gq * (2)
2C / q= gq / q
2C/q = g
What is nine divided by five and one fourths
9 ÷ 5 1/4 = 36/21
Simplify
36/21 = 12/7 = 1 5/7
Look at this angle what is the vertex
Answer:
T
Step-by-step explanation:
T is the vertex because vertex is the point from which the arms of any angle form.
help me please this is late
To find explicit formulas, you need two things. The common difference and the first term.
For example, #18
The first term = -15
The common difference = -20 -(-15) = -20 + 15 = -5
y = A + B(n - 1)
A = our first term
B = our common difference
n = the term you want to find in the sequence.
Leta plug our numbers in from #18
y = -15 + -5(n - 1)
Let's find the 4th term in the sequence.
y = -15 + -5(4 - 1)
y = -15 + -5(3)
y = -15 + -15
y = -30
2+98635.984463-97.8÷75.6+347+2363743769= PLEASE HELP!!
Answer:
122620.6908
Step-by-step explanation:
Just follow PEMDAS and it's not hard at all.
Answer:
Step-by-step explanation:
Convert 50 centimeters to kilometers
Answer: 0.0005 milometers
matt and craig run into each other at the batting cages they wonder why they didn't see each other more often since they have practices there regularly matts coach takes him there every 7 days and craigs teacher takes him there every 4 when will they see each other again
Write the ratio of 4 squares to 3 circles in three different ways.
Answer:
Using the Word to---- 4 to 3
As a a fraction--- 4/3
As a ratio---- 4:3
Step-by-step explanation:
i think
Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)? vertical translation horizontal translation reflection over the x-axis reflection over the y-axis
Answer:
Vertical Translation.
Step-by-step explanation:
If you shift a parabole up, for example, it is still symmetric about the y-axis. If you shift it left or right, it loses its symmetry. Reflection maintains symmetry for both even and odd functions.
Answer:
vertical translation
Step-by-step explanation:
What are the values of 7’s in 6,778
Order from least to greatest .9, 8/9, .86
Answer:
least to greatest
.86, 8/9, .9
Answer:
.86,8/9,9 ttttttttttttttttttftfffff
Mrs. Tollett's class is working on a
recycling project. The students
are collecting aluminum cans. Over
three days, they collected 88 cans,
113 cans, and 73 cans. How many
cans did they collect in all?
Answer:
274
Step-by-step explanation:
113+88+73