About 25 gallons of 20% mixture are needed to make the 80% mixture.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of gallons of 20% mixture needed, hence:
(20% of x) + (80% of y) = 65% of 100
0.2x + 0.8y = 65 (1)
Also:
x + y = 100 (2)
From both equations:
x = 25, y = 75
About 25 gallons of 20% mixture are needed to make the 80% mixture.
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A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?
Answer:
115.85
Step-by-step explanation:
How many apples could you buy if you went to the store with five dollars?
Answer:5 apples
Step-by-step explanation:5x1=5
Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 pounds of Lily’s tea? a. $108. 70 b. $144. 93 c. $536. 77 d. $715. 69.
Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,
Pounds to Ounces
[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]
Grams to Ounces
[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]
Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,
[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]
Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.
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Find the first three terms the described arithmetic series:
n=8
an= 36
a1=-6
Sn=120
Algebra Complete the table.Write the
expression that can be used to find the
missing value in the second row.
Step-by-step explanation:
In the second column, we can see that every value of n is being added by 6.
Thus, the expression is n + 6.Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.
When n is 12:
n + 6 = 1812 + 6 = 1818 = 18When n is 15:
n + 6 = 2115 + 6 = 2121 = 21When n is 21:
n + 6 = 2721 + 6 = 2727 = 27Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.
Finding n + 6 when n is 28:
n + 6 = x28 + 6 = x34 = xThus, the missing value in the table is 34.
solve pls brainliest
Answer: The answer is -15/7
Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.
HOPE THIS HELPED!
Answer:
-1 1/7 :)
Step-by-step explanation:
[tex]-\frac{5}{7}[/tex] x 3
[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]
[tex]-\frac{15}{7}[/tex]
Now lest simplify it!!
-1 [tex]\frac{1}{7}[/tex]
Hope this helps!!
Have a great day!!
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Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 60% of the recent graduates annual salary exceeds $40000. Suppose you take a simple random sample of 51 recent graduates. Note: round all z scores to decimal places and all other numbers to 4 decimal places. Find the probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000
Using the normal distribution and the central limit theorem, it is found that there is a 0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
60% of the recent graduates annual salary exceeds $40000, hence p = 0.6.A sample of 51 is taken, hence n = 51.The mean and the standard error are given by:
[tex]\mu = p = 0.6[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.6(0.4)}{51}} = 0.0686[/tex]
The probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000 is the p-value of Z when X = 0.7, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.6}{0.0686}[/tex]
[tex]Z = 1.46[/tex]
[tex]Z = 1.46[/tex] has a p-value of 0.9279.
0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
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Please helpppp neeed doneeee asappp
Answer:
abnormal condition of sardines
Step-by-step explanation:
what?
Find the midpoint of A and B where A has coordinates (2, 4)
and B has coordinates (-3, -9).
Answer:
(-0.5,-2.5)
Step-by-step explanation:
(x1 + x2) / 2 = x midpoint(y1 + y2) / 2 = y midpointX:⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
Y:⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)
Answer:
X = -0.5
Y = -2.5
Step-by-step explanation:
I found this by the forumla determine the X1 and X2 add the together then divide it by 2 for the value of X midpoint. Then add Y1 and Y2 and divide it by 2 together for the value of Y midpoint.
A small theater had 6 rows of 24 chairs each. Workers just removed 7 of these chairs. How many chairs are left? chairs
Answer:
137 chairs
Step-by-step explanation:
6*24=144.
144-7=137.
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I WILL GIVE BRAINLIEST! PLEASE HELP ME!
needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.
now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.
well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.
if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.
5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?
3(1.07)^18 can you please help??
the answer should be 10.13979682
Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)
Math homework, thanks
Answer:
X=79
Step-by-step explanation:
180-135=45
45+56=101
180-101=79
reduce into lowest terms
[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]
Answer:
4/6
We know that, 4 can be written as:
4 = 2 × 2 and 6 = 2 × 3.
In both 2 is common so cancel it out we get, 2/3
Similarly,
10/12
10 = 2 × 5 and 12 = 2 × 2 × 3
2 common and cancel we get, 5/6
18/24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
6 (2 × 3) is common. So, cancel we get, 3/4
Is 3√2 a rational number?
Answer:
No
Step-by-step explanation:
Because sqrt 2 is not an integer
Answer:
3root2 is not a rational number
The owners of cami's carnival kept track of how many visitors they had each day last summer. this box plot shows the results. carnival visitors 50 70 90 110 130 150 what fraction of the days did the carnival have 70 or fewer visitors?
Answer: 1/3
Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile
50(17 + 5)
15(25 – 4)
40(39 + 14)
10(5 + 12)
22(14 – 3)
Answer:
Step-by-step explanation:
1)1100=50x22
2)315=15x21
3)2120=40x53
4)170=10x17
5)242=22x11
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Answer pls in fractions
Answer:
4/5 yd^3
Step-by-step explanation:
(2/3)(3/1)(2/5) = 12/15 = 4/5
Answer:
4/5 I believe?
Step-by-step explanation:
Multiply all the numbers together :)
Find the smallest number by which 6615 is to be multiplied by to get a perfect square
Answer:
3x 5
Step-by-step explanation:
In a survey of 250 voters, 3 out of 5 voters said they planned to vote for a proposed
new county library.
a) how many of these voters plan to vote for the library?
N
b) how many are not planning to vote for the library?
Vat=13% Discount=20% Sp with vat=20340 Mp=? Vat amount=?
Answer:
Vat amount = Rs 2340
Mp = Rs 22500
Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.
The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form [tex](x+2)^2-2[/tex].
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
write in the form of [tex](x+y)^{2}[/tex]
[tex]\rm x^{2} +2xy + y^{2}[/tex]
2y = 4
y = 2
so, [tex]\rm x^{2} +4x + 2^{2}[/tex]
we will now convert it into the form
[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]
substitute the values
[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]
[tex](x+2)^2-2+2^2[/tex]
[tex](x+2)^2-2[/tex]
Thus, [tex](x+2)^2-2[/tex] is the correct form.
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How many apples could you buy if you went to the store with five dollars? *
Answer:
depends on how much the apples cost
Find the area of a rectangle with a length of 11.2 inches and a height of 9.4 inches
show your work
Please help
Write the perimeter of the triangle as a simplified expression.
[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]
Here is the picture of the problem- Only 6th grade math
Answer:
h= 7/6 mm
Step-by-step explanation:
hello :
the area is : A= (b+B)×h/2
calculate h the height : 2A = (b+B)×h
so: h = 2A/(b+B)
you have : A=21/5 and b= 3 and B= 21/5
h= 2(21/5)/(3+21/5)
h= (42/5) /(36/5)
h= 42/36
h= 7/6 mm
Ello can you solve #14 ty
Answer:
(x, y, z) ≈ (30.375, 12.369, 13.915)
Step-by-step explanation:
You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.
27/24 = x/27
x = 27²/24 = 30.375 . . . . . . multiply by 27
__
Likewise, the ratio of short side to long side is the same for each:
y/24 = (30.375 -24)/y
y² = 24(6.375)
y = √153 ≈ 12.369
__
And the ratio of short side to hypotenuse is the same:
z/30.375 = 6.375/z
z² = 30.375×6.375 = 193.640625
z = √193.640625 ≈ 13.915
what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?
Answer:
ANSWER1,14,21,28,35,42,42,35,28,21,14,7