Answer:
0.072
Step-by-step explanation:
Answer:0.072
Step-by-step explanation:
7.2% = 7.2/100
7.2 ➗ 100=0.072
Mr. Hernandez combines 1 gallon of orange juice, 3 pints of pineapple juice, and 2 quarts of lemon-lime soda to make punch for a party. He allows 2 cups of punch for each guest. Will there be enough punch to serve all 14 guests? How much, if any, punch will be left
Answer:
1 . There will be enough cup of punch to serve all 14 guest
2. There will be 2 cups of punch left.
Step-by-step explanation:
Mr Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.
This combination makes up the punch. We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .
1 gallon of orange juice = 16 cups of orange juice
1 pint = 2 cups
3 pints of pineapple = 6 cups
1 quarts = 4 cups
2 quarts of lemon-lime soda = 8 cups
When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30 cups of punch.
The guest will consume a total of 14 × 2 = 28 cups of punch. There will be 30 - 28 = 2 cups of punch left.
A class of 64 students was given 320 book. How many will each student take home
Answer:
5
Step-by-step explanation:
320 / 64 = 5
In ΔDEF, the measure of ∠F=90°, DE = 9.4 feet, and EF = 8.4 feet. Find the measure of ∠D to the nearest degree.
Answer:
63°
Step-by-step explanation:
The sine of an angle is the ratio of the opposite side to the hypotenuse.
Sin = Opposite/Hypotenuse
sin(D) = EF/DE = 8.4/9.4
Using the inverse sine function, we can find the angle:
D = arcsin(8.4/9.4) ≈ 63.33°
∠D ≈ 63°
the sum of three consecutive numbers is 114 . what is the smallest of these numbers
Answer:
x + (x+1) + (x+2) = 114
3x = 111
x = 37
the numbers are 37, 38 and 39
the smallest number is 37
Step-by-step explanation:
Pls answer I give brainliest thank you! Number 4
Answer:
6
Step-by-step explanation:
I did the work but like where did that cube go lol
Answer:
1/6 would be the answer because you multiply
1/2 x 1/2 x 1/2 = 1/6
5. 2 by 2 by 1 would work
Step-by-step explanation:
You invest $2,000 into a savings account that gets 5% interest compounded yearly. How much money will you have after 7 years? A. $2,814.20 B. $54,112.88 C. $14,713.23 D. $3,286.33
Answer:
You will have $2,814.20 after 7 years
Step-by-step explanation:
We are given that You invest $2,000 into a savings account that gets 5% interest compounded yearly.
Principal = $2000
Rate of interest = 5% =0.05
We are supposed to find How much money will you have after 7 years?
Formula : [tex]A = P(1+r)^t[/tex]
A= Amount
P = Principal
t =time
r = rate of interest in decimals
Substitute the values in the formula :
[tex]A = 2000(1+0.05)^7[/tex]
A=2814.20
So, Option A is true
Hence You will have $2,814.20 after 7 years
Why equals 3/4 X -12 and why equals negative 4X - 31
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Mia has a rectangle shape brownie. She cuts the brownie into 3 equal pieces.Which sentence is true ?
Answer:
The whole brownie is 3/3
Step-by-step explanation:
Hello!
This is a classic fractions exercise.
The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.
If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1
-Options-
The whole brownie is 1/3.
The whole brownie is 3/3.
The whole brownie is 2/3.
The whole brownie is 3/2.
I hope this helps!
solve for x. x+y = 14
Answer:
There is not enough information to specifically tell you the amount for x
Answer:x=14-y
Step-by-step explanation:
x+y=14
x=14-y
Can someone help me with this
Answer:
(y-b) /x = m
Step-by-step explanation:
y = mx+b
Subtract b from each side
y -b = mx+b-b
y-b = mx
Divide each side by x
(y-b) /x = mx/x
(y-b) /x = m
100 POINTS TO ANSWER THIS PLZ HURRY
Answer:
This is tricky but I think it is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.12 kWh. A previous study found that for an average family the standard deviation is 1.2 kWh and the mean is 17.9 kWh per day. If they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of electricity? Round your answer up to the next integer.
Answer:
A sample size of at least 271 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Maxium error of 0.12.
How large of a sample is required to estimate the mean usage of electricity?
We need a sample size of at least n.
n is found when [tex]M = 0.12, \sigma = 1.2[/tex]
So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.12 = 1.645*\frac{1.2}{\sqrt{n}}[/tex]
[tex]0.12\sqrt{n} = 1.645*1.2[/tex]
[tex]\sqrt{n} = \frac{1.645*1.2}{0.12}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.645*1.2}{0.12})^{2}[/tex]
[tex]n = 270.6[/tex]
Rounding up
A sample size of at least 271 is required.
the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle
Answer:
Length: 11
Width: 5
Step-by-step explanation:
Let W = width
Let L = length
Length is 4 less than 3 times the width ==> L = 3*W - 4
Let P = Perimeter = 2*W + 2*L
Perimeter is 22 more than twice the width ==> P = 2*W + 22
Setting the 2 expressions for the perimeter equal to each other gives
2*W + 2*L = 2*W + 22
2*L = 22
L = 11
So 11 = 3*W - 4
3*W = 15
W = 5
The length is 11 and the width is 5
Check: 3*W - 4 = 11 = Length
Perimeter = 32 = 22 more than 2*5 = 10
What is the circumference of the following circle?
3 cm
Answer:
the circumference is 9.42 cm
Step-by-step explanation:
3.14 · (3 cm)
c = 9.42 cm
hope this helps :-)
For the arithmetic sequence beginning with the terms {9, 14, 19, 24, 29, 34 ...}, what is the sum of the first 23 terms?
Answer:
1472
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 19 - 14 = 5 , thus
[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]
= 11.5 (18 + 110) = 11.5 × 128 = 1472
Concession Stand Prices. A bag of chips is 50 cents, apple is 20 cents, sandwich is 1 dollar, and juice box is 75 cents.
Erica is working the concession stand. She sold 6 bags of chips, 14 apples, and 3 juice boxes. She has $12.05 in the cash register. How many sandwiches has she sold?
3 sandwiches
4 sandwiches
5 sandwiches
6 sandwiches
Answer:
4
Step-by-step explanation:
bet
Answer:
The Answer is 4 on Edg
Step-by-step explanation:
Mhm
Which equation represents a line that has a slope of 1/3 and passes through point -2, one
Answer: y= 1/3 x + 5/3
Step-by-step explanation:
1= 1/3(-2) + b where b is the y intercept
1= -2/3 + B
+2/3 +2/3
B = 5/3
so we know the slope and the y- intercept
y= 1/3x + 5/3 check: 1=1/3(-2) +5/3
1 =1
Slope intercept form: y = mx + b
m = slope
b = y-intercept
Since we know the slope and one point, we can solve for the y-intercept.
y = 1/3x + b
1 = 1/3(2) + b
1 = 2/3 + b
1 - 2/3 = 2/3 - 2/3 + b
1/3 = b
Now, put the final equation together.
y = 1/3x + 1/3
Best of Luck!
Given the equation StartFraction 2 x + 2 Over y EndFraction = 4 w + 2 what is the value of x?
Question:
Given the equation (2x + 2)/y = 4w + 2.
What is the value of x?
Answer:
x = 2wy + y - 1
Step-by-step explanation:
Given
(2x + 2)/y = 4w + 2
Required
Find x
To find the value of x; the following steps will be used.
First, Multiply both sides by y
y * (2x + 2)/y = (4w + 2) * y
2x + 2 = 4wy + 2y
Subtract 2 from both sides
2x + 2 - 2 = 4wy + 2y - 2
2x = 4wy + 2y - 2
Multiply both sides by ½
½ * 2x = ½(4wy + 2y - 2)
x = ½(4wy + 2y - 2)
Open bracket
x = ½ * 4wy + ½ * 2y - ½ * 2
x = 2wy + y - 1
Hence, the value of x is 2wy + y - 1
Answer:
B
Step-by-step explanation:
I took the test
parker spends 1/4 of his earnings on rent and 1/6 of his earnings on entertainment
Answer:
Cool
Step-by-step explanation:
Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.
Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help!
Answer:
x = 8√3y = z = 12√2Step-by-step explanation:
We presume you want the values of x, y, and z.
__
There are two "special triangles" in geometry and trigonometry. They are the 30°-60°-90° right triangle that is half of an equilateral triangle, and the 45°-45°-90° isosceles right triangle that is half a square (cut by the diagonal).
The side ratios of these special triangles are relatively easy to remember. It is useful to memorize them.
__
For the isosceles right triangle, the side lengths are the same. The Pythagorean theorem tells you that if they are both 1, then the hypotenuse is ...
√(1²+1²) = √2
That is, the side lengths of the 45-45-90 triangle are in the ratio ...
1 : 1 : √2
__
For the triangle that is half an equilateral triangle, you know the hypotenuse is twice the length of the shortest side (since we got that short side by cutting a long side in half). Then the longer side can be found from the Pythagorean theorem:
√(2²-1²) = √3
That is, the side lengths of the 30-60-90 triangle are in the ratio ...
1 : √3 : 2
_____
In this problem, we're given the hypotenuse of a 30-60-90 triangle, so we know the short side of it (x) will be half that length:
x = (16√3)/2
x = 8√3
The hypotenuse of the 45-45-90 triangle will be √3 times x, so will be ...
long side of small triangle = (√3)(8√3) = 24
The shorter sides of that 45-45-90 triangle will be this value divided by the square root of 2, so are ...
y = z = 24/√2
We can multiply this by (√2)/(√2) to "rationalize the denominator".
y = z = 12√2
Answer:
8\sqrt{3},\ 12\sqrt{2},\ 12\sqrt{2}
Step-by-step explanation:
Simplifying products and quotients of powers
7^2•7^8/7^4=7^a/7^4=7^b
A=
b=
Answer:
a=10
b=6
Step-by-step explanation:
add 2 to 8, to get a, then subtract 4 from 10 to get b
Answer:
10 and 6
Step-by-step explanation:
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would
earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this
Investment?
Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?
Answer:
Have them 4 by 5.
Step-by-step explanation:
If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.
For example, (The "o" is a chair)
OOOOO
O
O
O
As you see the the top are the 5 chairs, then side are are the 4 chairs.
Then, you will do the exact same thing but on the opposite side.
Here is the next example.
OOOOOO
O O
O O
O O
OOOOOO
Basically, arranging the chairs 4x5, it would make a rectangle.
if a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume
Answer:
8.1 g/cm
Step-by-step explanation:
What is the sum in simplest form I ready diagnostic please hurry
example:
The value of x is 22
Step-by-step explanation:
We are given that there are two numbers
First number is x
second number is 35
The sum of x and 35 is 57
so, we get equation as
now, we can solve solve x
So, subtract both sides by 35
A national survey of companies included a question that asked whether the customers like the new flavor of a cola from company A. The sample results of 1000 customers, and 850 of them indicated that they liked the new flavor. The 98% confidence interval on the population proportion of people who like the new flavor is _______________.
Answer:
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 1000, \pi = \frac{850}{1000} = 0.85[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 - 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8237[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 + 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8763[/tex]
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
what is the volume of one cube with an edge length of 1/4 inch?
Answer:
(1/64) in^3, or 0.015625 in^3
Step-by-step explanation:
The formula for the volume of a cube of side length s is V = s^3.
Here, with s = 1/4 in,
V = (1/4 in)^3 = (1/64) in^3, or 0.015625 in^3
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
In the attached file
What is the solution to this system of equations 3x+y=17 and x+2y=49
Answer:x=-3 y=26
Step-by-step explanation:
3x+y=17.............(1)
x+2y=49..............(11)
From (11) x=49-2y
Substitute x=49-2y in 3x+y=17
3(49-2y) + y=17
Open bracket
147-6y+y=17
147-5y=17
Collect like terms
5y=147-17
5y=130
Divide both sides by 5
5y/5=130/5
y=26
Substitute y=26 in x+2y=49
x+2(26)=49
x+52=49
Collect like terms
x=49-52
x=-3
Answer:
It has a single solution: x = -3, y = 26.
Step-by-step explanation:
