Answer:
319.64
Step-by-step explanation:
524/100= 5.24
5.24x61= 319.64
Addison prepared 30 kilograms of dough after working 3 hours. How many hours did Addison work if she prepared 50 kilograms of dough? Assume the relationship is directly proportional.
Answer:
Addison worked 5 hours
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
The relationship between the number of kilograms of dough Addison prepares (y) is proportional to the number of hours he works on it (x).
Knowing he prepared y=30 kilograms of dough after t=3 hours, we substitute in the function:
30 = 3k
Solving for k:
k = 30/3 = 10
The relationship is:
y = 10x
If he prepared y=50 kg of dough, then:
50 = 10x
Solving for x
x = 50/10 = 5
Addison worked 5 hours
Thomas is saving up to buy the new Xbox One. He needs to save at least $500. For his birthday he received $275.
He also makes $30 a week working at McDonalds. What is the least number of weeks it will take him to have the
money?
please help me right now i need it
Answer:
8 weeks
Step-by-step explanation:
One side of a triangle is two times the second side. The third side is 5 feet longer than the second side. The perimeter of a triangle is 49 feet. Find the length of each side.
can someone help me please
Answer:
14c + 21d - 42
Step-by-step explanation:
Given: ΔABC, AB=12, m∠A=60°,m∠C=45°, AB =8 Find the perimeter of ΔABC
Answer:
The perimeter of ΔABC is 43 units
Step-by-step explanation:
An illustrative diagram is shown in the attachment below.
To find the perimeter of the triangle, we will first determine the length of the unknown sides.
First, we can determine /BC/ using the Sine rule
From Sine rule
[tex]\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}[/tex]
∴ [tex]\frac{SinA}{a} = \frac{SinC}{c}[/tex]
In the diagram, [tex]a = /BC/[/tex] and [tex]c = /AB/ = 12[/tex]
m∠A=60° and m∠C=45°
∴ [tex]\frac{Sin60}{/BC/} = \frac{Sin45}{12}[/tex]
[tex]/BC/ = \frac{12 \times Sin60}{Sin45}[/tex]
[tex]/BC/ = 6\sqrt{6}[/tex]
To find /AC/, will first determine m∠B
m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)
60° +m∠B + 45° = 180°
m∠B + 105° = 180°
m∠B = 180° - 105°
m∠B = 75°
Also, using the sine rule
[tex]\frac{SinB}{b} = \frac{SinC}{c}[/tex]
From the diagram, [tex]b = /AC/[/tex]
[tex]\frac{Sin75}{/AC/} = \frac{Sin45}{12}[/tex]
[tex]/AC/ = \frac{12 \times Sin75}{Sin45}[/tex]
[tex]/AC/ = 6 + 6\sqrt{3}[/tex]
Now,
The perimeter of ΔABC = /AB/ + /BC/ + /AC/
= [tex]12 + 6\sqrt{6} + 6+6\sqrt{3}[/tex]
= 43.09 units
≅ 43 units
Hence, the perimeter of ΔABC is 43 units.
Answer:
Using the figure above, if AB = RT and ∠R = 70°, then ________.
ΔABC ~ ΔRTS
m ∠ S = 50°
ΔABC ≅ ΔRTS
m ∠ S = 60°
Step-by-step explanation:
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.
Answer:
the decision rule is to reject H0 if Z is < -1.645
Step-by-step explanation:
this question is interested in the decision rule.
H0: u = 449
H1 : u <449
We find the test statistic
Mean bar x = 441
u = 449
Sd = 18
n = 37
Z = barX - u / sd/√n
= 441-449/18/√37
= -8/18/6.083
= -8/2.959
Z = - 2.7036
This is the value of the test statistic
The critical value at 0.05 = -1.645. this is a left tailed test
The decision rule is to reject H0 if Z < -1.645
The test statistic is less than the critical value
-2.7036 < -1.645
So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.
What expression makes the equation true? (Photo found below)
Which equation could be used to solve this problem?
In 14 years, Miguel will be 40. Let m represent Miguel's current age. How old is he now?
m = 40 + 14
m- 14 = 40
m + 40 = 14
m + 14 = 40
Answer:
m+14=40
Step-by-step explanation:
Answer:
the answer is m+ 14 = 40Step-by-step explanation:
Answer is D
(Blank) x 1/6 = 5/6
I haven’t done this in a while so I need help.
Answer:
5
Step-by-step explanation:
Divide 5/6 by 1/6 to get 5 as your answer.
t is the letters in the word thinking
Answer:
u is the one on my mind rn
Step-by-step explanation:
HAHAHAHAHHAA XD
2(1/4d)+d=96 answer is possibly 64 is that correct?
Answer:
64
Step-by-step explanation:
2x(1/4 d)+d=96 (Rewrite the expression)
2x1/4d+d=96 (Reduce the numbers)
1/2d+d=96(Calculate)
3/2d=96 (Multiply both sides)
d=64
Can someone answer number 3 and 4 for me please? :))
Answer:
3. Yes, because 160 / 4 = 40 and 120 / 3 = 40.
4. 10, because 24 / 12 = 2 and 20 / 2 = 10
Answer:
3. David and Aryana use their phones at the same rate.
4.10 parts of water to 20 parts of cornstarch.
Step-by-step explanation:
3. First, you have Aryana who uses 160 mins in 4 days. Then there is David who has 120 minutes in 3 days. You want to divide the minutes by days to see how many minutes per day they use their phone. 160/4=40 120/3=40. David and Aryana use their phones at the same rate.
4. First, you have 24c to 12w (c is cornstarch and w is water). If you want to find 20c and what w is, you need to make c into a smaller number. What I mean is that you need to divide the equation as low as it can go, this one happening to be 12. So you do 24 to 12/12 = 2c to 1w. You then multiply the number back up to twenty. so 2*10 = 20 1*10=10. Your final answer is 10 parts of water to 20 parts of cornstarch.
Please help ASAP it’s due tomorrow
Answer: b
Step-by-step explanation:
Answer:
A. The open circle pointing to the right
Step-by-step explanation:
x 16 28 44
y 8 14 22
determine whether y varies directly with x. if so find the constant of variation and write the function rule.
simple formula for that is y×2=x
PLEASE HELP MEEEE I HAVE AN F IN MATH AND I SERIOUSLY NEED THIS
I WILL BRAIN LIST YOU HELP
Cora ran 3 miles last week and will run 7 miles per week from now on. Hana ran 9 miles last week and will run 4 miles
per week from now on.
In the answer box below,
1. Write a system of equations to describe this scenario.
2 Use Desmos to graph the system of equations you wrote and identify what the solution means in the context of the
problem
Answer:
See below and attached
Step-by-step explanation:
Cora ran 3 miles last week and will run 7 miles per week from now on.
y = 3 + 7xHana ran 9 miles last week and will run 4 miles per week from now on.
y = 9 + 4xThe graph is attached
Intersection of the lines is the point when both Cora and Hana run same distance, 17 miles after 2 days
Jocelyn invested $390 in an account paying an interest rate of 2.7%
compounded daily. Assuming no deposits or withdrawals are made,
how much money, to the nearest cent, would be in the account after 18
years?
Answer:
There will be $634.05 in the account.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$390 in an account paying an interest rate of 2.7% compounded daily.
This means that [tex]P = 390, r = 0.027, n = 365[/tex]
Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
This is A(18). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(18) = 390(1 + \frac{0.027}{365})^{365*18}[/tex]
[tex]A(18) = 634.05[/tex]
There will be $634.05 in the account.
PLEASE HELP ME WILL GIVE BRAINLIEST TO THE RIGHT ANSWER HELP ASAP!!!!!
Using the new scale and starting from the origin, where will point A be?
Answer:
A will be at 6,6
Step-by-step explanation:
I think this because the graph is the same so it most likely will be the at the same position. Hope this is right !
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?
Answer:
6570
Step-by-step explanation:
18x365=^
manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?
Answer:
$7049 is the answer.
Step-by-step explanation:
Answer: $7980
Step-by-step explanation:
Follow the formula A=Pe^rt
A= 7500(e)^(.031)(2)
A= 7980
i givee brainlilsttt
Answer:
simple, it's (4,4) because the (-4,-4) is on the left side then on the right side, we know the x axis is positive right? so then you know that the bottom of the y axis is negative and the x axis is first in the coordinate and so the first one is positive now.
If y = 3, which of the following expressions will
produce a value of 15?
A.5y
B.25-10y
C.4y+3
D.8y divide by 2
Answer:
A.5y
Step-by-step explanation:
5y = 5 x y
y= 3
5 x 3 = 15
=A.5y
Strawberries are $3.99 per pound. If a customer bought $30 worth, how many pounds did he buy? $
Blank 1:
Answer:
7.5
Step-by-step explanation:
Divide 30 by 3.99
30/3.99=7.5PLEASEEE HELP 10 points
Answer:
42
Step-by-step explanation:
Find the area of this parallelogram
Answer:
260cm
Step-by-step explanation:
20x13=260
select an equivalent expression. 2(3x+9)
what is the value of f(g(1))
Answer: 1
Step-by-step explanation:
All you had to do was multiply g by 1 so f(g(1)) as a value is 1
I need help super quick
Answer: D is correct
Step-by-step explanation:
everything under the X side can be multiplied by 5 and equal Y
Answer:
C
Step-by-step explanation:
What is 4 divided by 1/8
Answer:
32
Step-by-step explanation:
4/(1/8)