Answer:
Step-by-step explanation:
diagonal=[tex]\sqrt{10^2+10^2}[/tex]
diagonal=[tex]\sqrt{200}[/tex]
diagonal=14.1421356
Kelly purchased 5 containers of ice cream for a party. Each container holds 8 cups of ice cream. Before the party, her brother ate 2 cups of ice cream. If one serving of ice cream is 23 of a cup, how many servings of ice cream will be left for the party?
Given:
Kelly purchased 5 containers of ice cream for a party.
Each container holds 8 cups of ice cream.
Her brother ate 2 cups of ice cream.
One serving of ice cream = 2/3 of a cup.
To find:
Number of servings of ice cream will be left for the party?
Solution:
We have,
1 container = 8 cups of ice cream
5 containers = 5×8 = 40 cups of ice cream
Her brother ate 2 cups of ice cream. So, remaining cups of ice cream is
[tex]40-2=38[/tex] cups
Now,
[tex]\dfrac{2}{3}[/tex] of a cup = 1 serving
1 cup = [tex]\dfrac{3}{2}[/tex] serving
38 cup = [tex]38\times \dfrac{3}{2}[/tex] serving
= [tex]19\times 3[/tex] serving
= 57 serving
Therefore, 57 servings of ice cream will be left for the party.
At a party there are 3 pizzas to share. If each pizza has 8 slices, determine how many pieces each child will receive if 12 kids attend the party. Now what if 8 kids attend?
Answer: your answer is 3
Step-by-step explanation: if you multiply 3 and 8 you get 24 divide that by 8.
The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of pizzas at the party = 3 pizzas
The total number of slices in 1 pizza = 8 slices
So , the number of slices in 3 pizzas = 3 x 8 slices
The number of slices in 3 pizzas = 24 slices
Now , the equation will be
The number of children attended the party be = A
The value of A = 12 children
So , the number of pizza slices each child gets = number of slices in 3 pizzas / number of children attended the party
Substituting the values in the equation , we get
Number of pizza slices each child gets = 24 / 12
Number of pizza slices each child gets = 2 slices each
Therefore , if there are 12 children , the number of slices of pizzas each child receives is 2 slices
Now , if the number of children is B = 8
Number of pizza slices each child gets = 24 / 8
Number of pizza slices each child gets = 3 slices each
Therefore , if there are 8 children , the number of slices of pizzas each child receives is 3 slices
Hence , The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
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Judith went shopping with $50 and spent $4. What percentage of her money did she spend?
Answer:
8%
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
50 divided by 4 is 8
PLZZ HELPP IM FAILLING THIS CLASS
I GIVE BRAINLIST
Answer:
The better deal is 8 for $7.50
4 of pack one=$25
2 of pack two=$15
Spent altogether= $40
Answer:
Which is the better deal? Pack of 8 is a better deal.
Buy 4 of Pack One: $24.40
Buy 2 of Pack Two: $11.90
How much did you spend altogether? $36.30
Step-by-step explanation:
Let's start with the Swag Bags. To figure out if something is a good price, divide the items inside of it by the price so you can get the $ per item and compare.
[tex]\frac{6.25}{6}[/tex] = $1.04 per item for Pack of 6
[tex]\frac{7.50}{8}[/tex] = $.94 per item for Pack of 8
Generally, saying "which item is the better deal" refers to which price per item is cheaper. In this case, Pack of 8 is a better deal.
Now, goodie bags.
Pack one costs $6.10 while Pack two costs $5.95.
"Buy 4 of Pack One: $" is asking for the price of 4 Pack Ones. To do this, you simply multiply the pack one price by 4, since you are buying 4 of them.
4 * 6.10 = $24.40
Same idea for Pack Two, just different price and different amount.
2 * 5.95 = $11.90
How much did you spend altogether? Add the total values for both goodie bag packs.
$24.40 + $11.90 = $36.30
whats 2 plus 2 divided by 63.11111
Answer:
0.06338
Step-by-step explanation:
2+2=4
4/63.1111=0.06338
Answer:
2.03169
Step-by-step explanation:
IF ANYONE HELPS ME WITH THIS I WILL GIVE U BRAINLIEST AND 100 POINTS BTW ITS INTEGRALS FOR CALCULUS
Answer:
[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integrals
Definite IntegralsIntegration Constant C
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
eˣ Integration: [tex]\displaystyle \int {e^u} \, dx = e^u + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for u-substitution.
Set: [tex]\displaystyle u = 4x^{-2}[/tex][u] Differentiate [Derivative Rule - Basic Power Rule]: [tex]\displaystyle du = -8x^{-3} \ dx[/tex][du] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle du = \frac{-8}{x^3} \ dx[/tex]Step 3: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^6_4 {\frac{-8}{x^3}e^{4x^{-2}}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^{\frac{1}{9}}_{\frac{1}{4}} {e^u} \, dx[/tex][Integral] eˣ Integration: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}(e^u) \bigg| \limits^{\frac{1}{9}}_{\frac{1}{4}}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8} \bigg[ -e^\bigg{\frac{1}{9}} \bigg( e^\bigg{\frac{5}{36}} - 1 \bigg) \bigg][/tex]Simplify: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Which set of coordinates describes a function?
A {(2, -4), (-2, - 7), (0, 2), (-3, 8)}
B {(8,9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D{(8,3), (-8, -4), (2, 7), (2, 2)}
find the value of x.
-3x-5<10 Equations
Answer:
x>-5
Step-by-step explanation:
First, we need to isolate the variable. To start doing this we can add five to both sides. We now have -3x<15. We then have to divde by -3. When working with inequalites you flip the inequality sign when dividing by a negative number. That then leaves us without answer, x>-5.
Given m∥n, find the value of x.
Answer:
x = 20
Step-by-step explanation:
The 2 given angles are alternate interior angles and are congruent, thus
7x - 3 = 6x + 17 ( subtract 6x from both sides )
x - 3 = 17 ( add 3 to both sides )
x = 20
Which statement about parallel lines is true?
Parallel lines intersect at a 45° angle.
Parallel lines intersect at a 90° angle.
Parallel lines are always line segments.
Parallel lines never intersect.
Answer:
the last one
Step-by-step explanation:
Parallel lines never intersect.
hope this helps
The number of machine parts produced at a manufacturing plant is based on the number of parts made in a given day
and the number of hours worked. Let P = 14x + 100 give the number of parts that are produced since the start of the
shift and H = x be the number of hours that are to be worked that particular day. Create the equation that would give
the number of parts produced per hour.
Answer:
The equation that would give the number of parts produced per hour, [tex]P_H[/tex] is given as follows;
[tex]P_H[/tex] = P/H - 100/H
Step-by-step explanation:
The given parameters are;
The number of parts produced is given by the equation, P = 14·x + 100, where x represents the number of hours worked on a particular day
The number of hours worked = H
Therefore, we have;
P = 14·H + 100
At H = 0, P₀ = 100
At H = 1, P = 114
At H = 2, P = 128
Therefore, the rate of change of the number of parts produced with the number of hours spent = The number of parts produced per hour, ΔP/ΔH = [tex]P_H[/tex], is given as follows;
ΔP/ΔH = [tex]P_H[/tex] = (P - P₀)/(H - 0) = P/H - P₀/H = (128 - 100)/(2 - 0) = 14
∴ The number of parts produced per hour, [tex]P_H[/tex] = P/H - 100/H.
I need help with this question, here's the image
Answer:
The answer Is C
Deja had two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive.
Answer:
Step-by-step explanation:
3 3/8 + 2 7/8= 6 1/4
6 1/4 divided by 4
each get about one pound and a half
Bus Stop: A graph has time (minutes) on the x-axis, and distance (miles) on the y-axis. A line goes through points (0, 5), (6, 8), and (12, 11). Friend's house: A 2-column table with 3 rows. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Recall that Seth's house is 17 miles from school. Which location should Seth start off at to get to school faster and how long will it take?
from the bus stop is faster, taking 17 minutes
from the bus stop is faster, taking 24 minutes
from his friend’s house is faster, taking 15 minutes
from his friend’s house is faster, taking 22.5 minutes
Answer:
from his friend’s house is faster, taking 22.5 minutes
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i just got it right :)
A restaurant manager states the number of customers that enter the restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 15. The manager also states that the number of customers that enter their restaurant is equal to 2 times the number of people that buy a hotdog from the hotdog cart plus 60. What number of people buying a hotdog from the hotdog cart across the street makes the equation 3x+15 = 2x+60 true?
Answer: true
Step-by-step explanation: The number of people would be 45
Need help see pictures for details
Answer:
plot the points
(-4, 2.5) (-3, 3) (-2, 1.5) (-1, 2) (0, 1)
(1, 2) (2, 3.5) (3, 0.5) (4, 2.5)
Step-by-step explanation:
does that help any???
Химический элемент является простым веществом.
Химический элемент характеризуется свойствами вещества.
Химический элемент характеризуется составом вещества.
Химический элемент – это определённый вид атома.
Назад
Проверить
• When volleyballs are purchased, they are not fully inflated. A partially inflated
volleyball can be modeled by a sphere whose volume is approximately 180 in). After
being fully inflated, its volume is approximately 294 in. To the nearest tenth of an
inch, how much does the radius increase when the volleyball is fully inflated?
Answer:
The radius increase when the volleyball is fully inflated is 0.5
Step-by-step explanation:
Volume of Partially inflated volleyball = 180 in³
Volume of Full inflated volleyball = 294 in³
We need to find how much does the radius increase when the volleyball is fully inflated?
First we will find the radius of both Partially inflated and Full inflated volleyball. Then we will find increase in radius.
The formula for Volume of sphere is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]
Finding Radius of Partially inflated volleyball
Volume = 180
Putting values and finding radius of Partially inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\180=\frac{4}{3}*3.14*r^3\\4.186r^3=180\\r^3=\frac{180}{4.186}\\r^3=43.0\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{47}\\r= 3.6[/tex]
So, radius of Partially inflated volleyball is r = 3.6
Finding Radius of Fully inflated volleyball
Volume = 294
Putting values and finding radius of Fully inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\294=\frac{4}{3}*3.14*r^3\\4.186\:r^3=294\\r^3=\frac{294}{4.186}\\r^3=70.23\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{70.23}\\r= 4.1[/tex]
So, radius of Partially inflated volleyball is r = 4.1
Now, finding increase in radius by subtracting radius of fully inflated volleyball with partially inflated volleyball
Increase in radius of Fully inflated volleyball = 4.1 - 3.6
Increase in radius of Fully inflated volleyball = 0.5
So, the radius increase when the volleyball is fully inflated is 0.5
DROP YALL FAV ANIMESS :))) mines if aot
Answer:
monster masume
Step-by-step explanation:
A repairman charges an inspection fee plus $16 per hour. A customer with a coupon for 30% off the inspection fee pays $74 for a 2-hour repair. How many hours are worked when a customers pays $124 without a coupon?
Answer:
I want to say that the hours worked was 4. I hope that is right.
Step-by-step explanation:
30% off of $60 is 42
16*2=32 and 32+42=74
124-60=64
16*4=64
so he would have worked 4 hours for $64 and a fee of $60
64+60= 124
!! please answer, thanks.
1] If you pick a marble out of a bag that had 2 yellow, 3 green, 4 black and 1 red, record its color, and return it to the bag 200 times, how many times can you expect to pick a marble other than black?
-
2] There are 3 red shirts, 4 blue shirts, 1 black shirt and 2 grey shirts hanging in a closet. What is the probability that a shirt other than blue will be picked?
What is an equation of the line that passes through the point (4,-3) and is perpendicular to the line x-2y=2?
Answer: 2x+y+11=0
Step-by-step explanation:
The equation of given line is x-2y-2=0
Slope of given line is (m1)= - coefficient of x÷coefficient of y
m1= -1÷-2 =1÷2
Let slope of required line be m2.
Since the two lines are perpendicular,
So,
m1×m2= -1
or, 1÷2×m2 = -1
m2 = -2
The required line is passing through (4,-3)
Using two points slope form,
y-y1 = m(x-x1)
or, y-(-3)= -2(x+4)
or, y+3= -2x -8
or, 2x+y+3+8 = 0
2x+y+11 = 0 which is required equation of line.
PLEASE ANSWER I WILL MAKE U BRAINLIEST
Who made an incorrect statement about each rotation. Then, correct and rewrite the statement.
Answer:
Tara is incorrect.
Step-by-step explanation:
The location of X' will be (7,1)
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
the upper unknown angle is a right angle (90º)
the lower unknown angle is equal to 45º, same as the angle we know
a triangle's angles should all add up to 180º
HOPE I HELPED)))
PLS GIVE BRAINLIEST
AND HAVE A NICE DAY
Neeeeeeeeeeeeeeed help!!!!!??!??!!
Answer:
-15?
Step-by-step explanation:
It's hard to tell where the point is exactly
Error Analysis: Henry incorrectly said the rate 1/2 over 1/4 can be written as the unit rate 1/8 pound per quart.
What is the correct unit rate? What was Henry's likely error?
Answer:
1/2 = 2/4 = 4/8
Step-by-step explanation:
his error was probably that he only change the denominator since there all even
Rewrite 1/6 book- 2/3 hour as a unit rate
Answer:
1/4
Step-by-step explanation:
Write the equation of the line with the given slope and y-intercept.
slope: 3
y-intercept: -6
Answer:
y=3x-6
Step-by-step explanation:
y=mx+B
y replaces the b
the slope replaces the m
Another geometry question for transition math! Please help me!
Answer:
The measure of <TRU is 72 deg.
Step-by-step explanation:
<QRU is a right angle, so it measures 90 deg.
Since m<QRT = 18 deg, then m<TRU must be 72 deg since 72 + 18 = 90.
Answer: The measure of <TRU is 72 deg.