The cups needed to feed 24 people is 13[tex]\frac{1}{2}[/tex] cups.
Ratio expresses the relationship between two values. It is used to express the number of times that one value is contained within other value(s).
The cups of flour needed to feed one person = [tex]4\frac{1}{2}[/tex] ÷ 8
= [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{9}{16}[/tex]
Number of cups needed to feed 24 people = number of cups needed to feed 24 people x 24.
[tex]\frac{9}{16}[/tex] x 24 = [tex]\frac{27}{2}[/tex] = 13[tex]\frac{1}{2}[/tex] cups
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Use the given conditions to find the exact value of the expression.
9514 1404 393
Answer:
(7 -24√3)/50 = 0.14 -0.48√3
Step-by-step explanation:
Sine is negative and cosine is positive in the 4th quadrant, so ...
sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25
Then the cosine of the angle sum is ...
cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)
= (24/25)(-√3/2) -(-7/25)(1/2)
= (7 -24√3)/50 = 0.14 -0.48√3
please help! refer to the picture!
Step-by-step explanation:
ans:
option
c
mark me as brainliest
Find an equation of the tangent line to the of the function at the given point.
f(x) = 3x2 – In x (1,3)
The answer is 5x-y-2=0 but I don’t know how to get to it.
Step-by-step explanation:
The slope of the tangent line is equal to the derivative.
f(x) = 3x² − ln x
f'(x) = 6x − 1/x
f'(1) = 6(1) − 1/1
f'(1) = 5
Use point-slope form:
y − 3 = 5 (x − 1)
Simplify:
y − 3 = 5x − 5
0 = 5x − y − 2
need someone’s help with this please!!!
Darren’s account was overdrawn by $150, before he deposited $480.
A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.
Answer:
the answer would be 2,969 also i think the cost of tickets is pretty useless
Step-by-step explanation:
Answer:2,969
Step-by-step explanation:
f(x) = -7x + 1, find f(-2) x
f=-2
Okay, so basically just plug -2 in for x in the equation and solve.
-7(-2) + 1
Multiply first
14 + 1
Now add
15
If f(x) = 1.2-3.4x what is the value of f(5.1)
Answer:
−f(5.1) = 16.14
Step-by-step explanation:
Hope this helps! Stay safe!
Is the amount of time it takes to download a file from the internet discrete or continuous?
Answer:
The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.
Answer/Step-by-step explanation:
The amount of time that is spent downloading internet files is a continuous measurement and is not discrete, because it will always follow the same length of time that is estimated to download, but due to changes of internet WiFi connectivity and other background programs this can all affect the speed of the computer programs responsible for downloading the files.
Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.
Answer:
Step-by-step explanation:
109
You start at (0, 8). You move up 1 unit and right 3 units. Where do you end?
Answer:
1.11
Step-by-step explanation:
Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?
Answer:
21 and 23Step-by-step explanation:
Two integers are:
x and x + 2The equation and solution:
4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21And
x + 2 = 23Which fraction is equivalent to 2/3 explain
Answer:
4/6, 8/12, 20/30
Step-by-step explanation:
They are equivalent to 2/3, because they can all be simplified to 2/3.
For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.
SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.
~hope it's right
Please help it’s due
4 = 130
2 = 50
1 = 90
3 = 40
:)
28327472 x 3238287382
Answer:
Exact Form:
91732495141558304
Decimal Form:
9.17324951 ⋅ 10^16
Step-by-step explanation:
Use long multiplication to evaluate.
Hope this helps <3
Which of the following equations demonstrates the Identity Property of One? A. 3 - 2 = 1 B. 4 • 1 = 14 C. 1 • b = b D. 0 + 1 = 1
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
please help with this question
Answer:
Rotation
Step-by-step explanation:
Rotation around the origin I believe
Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)- a b – 3ab - C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:
Answer:
Step-by-step explanation:
-a b-3ab-C+ 3ab2 - 2a² b + ab
where a = -1, b = -3 and c = = 10:
= -(-1)(-3)-3(-1)(-3)-10+3(-1)(-3)2-2(-1)²(-3)+(-1)(-3)
= -(3)-(3)-10+6(3)-2(3)+3
=-3-3-10+18-6+3
=-22+21
= -1
Write the equation so that a = 1: x2 + x =
The answer is : x^2 + x = x ( x + 1 )
What is algebraic equation ?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..
To solve this equation
if a = 1, the equation x^2 + x = can be completed as follows :
x^2 + x = x ( x + 1 )
Therefore, the final answer is : x^2 + x = x ( x + 1 )
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What number represents the same amount as 8 hundreds + 10 + 0 ones?
Answer:
810
Step-by-step explanation:
hope it help you ☺☺....
can someone help me plzzz
Perform the function compositions
Answer:
1. 4x^2-24x^2+37
2.16x^4+8x^2-2
Step-by-step explanation:
Investors buy a studio apartment for 140,000. Of this amount, they have a down payment of 35,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
Answer:
25%40%Step-by-step explanation:
Cost of apartment = 140000Down payment = 35000Down payment of 35000 is:
35000/140000*100% = 25%Down payment of 56000 is:
56000/140000*100% = 40%Answer:32553
Step-by-step explanation:1,400x35000x 56000/ 140000
what is x
4 x 3x = 48
Answer:
x=4
Step-by-step explanation:
4 x (3x4)=48
you do 48 divided by 4 equals 12. Then 12 divided by 3 and you get X = 4
what is the value of h in the triangle
Answer:
I think the answer is 7.2
Help D: PLEASE STAT ON THE DOT
Answer:
Mitch made a mistake in step 1.
Step-by-step explanation:
7.7 = w - 2
Add two to both sides
7.7 + 2 = w - 2 + 2
9.7 = w is the right answer.
E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =
Answer:
y=(5x-3)/4
y=(5/4)x-3/4
Perpendicular slops come from reversing the numerator and denominator and making it negative so the new slope would be:
m=-4/5
Then you use point slope formula and plug in your values:
y-y1=m(x-x1)
y-1=-4/5(x-1)
y=(-4/5)x+9/5
Hope this helps you, have a night day/night.
Answer:
I don't know
Step-by-step explanation:
You make me brainest I have will answer
Abhasra bought nine fancy pens for a total of $44.01. How much did each pen cost?
A.) $4.21
B.) $4.89
C.) $4.42
D.) $396.09
Answer:
B.) $4.89
Step-by-step explanation:
44.01 ÷ 9 = 4.89
Answer:
B) $4.89
Step-by-step explanation:
44.01/9 = 4.89
44.01 = the total amount
9 = the amount of pens he got
to check your work you can do 4.89 x 9 which equals 44.01