Answers
First, let's give the variable a name:
Let
x = gallons of water to be added
For the 10% solution we have:
0.1 * 8 = 0.8
Then, for 5% we have:
(0.8 / x + 8) = 0.05
Rewriting:
(0.8 / x + 8) = (5/100)
Answer:
An equation can be used to find x, the humber of gallons of water he should add is:
(0.8 / x + 8) = (5/100) (option 2).
Related Questions
If a stadium has 15,000 seats sold at $10.00, $12.50, and $15.00 equally distributed in three sections, how much can be made if the stadium sells out?
Answers
Answer:
$187,500
Step-by-step explanation:
There must be 15,000/3 = 5,000 seats in each section. Then the total revenue can be ...
5000·$10.00 + 5000·12.50 + 5000·15.00 = 5000·($10 + 12.50 +15.00)
= 5000·$37.50 = $187,500
Stadium revenue can be $187,500 if all seats are sold.
The total earnings from selling out the stadium with tickets priced at $10.00, $12.50, and $15.00, equally distributed, would amount to $637,500.
The total earnings from selling out the stadium would be $15 x 15,000 = $225,000 for tickets priced at $10.00.
For tickets priced at $12.50, the earnings would be $12.50 x 15,000 = $187,500.
Lastly, for tickets priced at $15.00, the earnings would be $15 x 15,000 = $225,000.
To find the total earnings, add the earnings from each section: $225,000 + $187,500 + $225,000 = $637,500.
B= [2 8 .6 3 ] A= 3 0 2 -1]
what is BA ?
Answers
The product of matrices[tex]\(B\) and \(A\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
To find the product (BA), we multiply each row of (B) by each column of (A) and sum the products.
Let's calculate the elements of the resulting matrix (BA):
a. First row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. First row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. First row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. First row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the first row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Similarly, for the second row of (BA):
a. Second row, first column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
b. Second row, second column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
c. Second row, third column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
d. Second row, fourth column:
[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]
Therefore, the second row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]
Hence, the product [tex]\(BA\) is \([12 \, 24 \, 4 \, -2]\).[/tex]
identity the pair of numbers that does not belong with the other three. explain.
Answers
In the first pair, the only numbers are 9 and 6. Converting 4 into a fraction leaves us with 4/1 - the only numbers in that pair are 1 and 4. In the final one, the only numbers are 2 and 7.
However, converting 5 gives 5/1. What this means is that the top and bottom numbers are not flipped in this pair, making it the odd one out.
Hope I helped!
The other pairs are made of reciprocal numbers .
9/6*6/9=1
4*1/4=4/1*1/4=1
2/7*7/2=1
but 3/5*5/1=3, not 1.
Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20^\circ20
∘
20, degree, and traveled a distance of 3.43.43, point, 4 kilometers before she fell in a straight line perpendicular to the ground.
How far from the skydiving center did Alexa land?
Answers
Answer:
3.19495491 rounded to the nearest hundredth is 3.19
Step-by-step explanation:
The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]
Hence the distance from the skydiving center did Alexa land will be 3.19 km.
To learn more about the trigonometry refer to the link;
https://brainly.com/question/26719838
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A pair of angles can be complementary and supplementary. The answers are sometimes? always? or never true? Justify the answer
Answers
Two angles are supplementary if their sum equals 180 °:
The supplementary angles are those that added are worth two right angles, that is, 180º.
answer:
A pair of angles can be never complementary and supplementary
What is the answer. Do not need to explain.
Answers
5% of $1200 is $60.
5% of $1260 is $63.
5% of $1323 is $66.15.
5% of $1389.15 is $69.45. So the final balance is $1458.45.
1200+240=1440
What is the order of 5x10^4 , 7x10^-5 , 3x10^-9 , 8x10^4 from least to greatest?
Answers
5x10^4=50000
7x10^-5=0.00007
3x10^-9=0.000000003
8x10^4=80000
Therefore, the order of 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 from least to greatest is:
3x10^-9, 7x10^-5, 5x10^4, 8x10^4
The order from least to greatest of the given numbers 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 is 3x10^-9, 7x10^-5, 5x10^4, and finally 8x10^4. This is determined by comparing the exponents and coefficients of the scientific notation.
To find the order of 5x10^4, 7x10^-5, 3x10^-9, and 8x10^4 from least to greatest, we have to compare their exponents as they determine the size of the numbers. The exponent indicates how many times the number 10 is used in a multiplication.
Here are these numbers in order from the smallest to the largest:
3x10^-97x10^-55x10^48x10^4The smaller the exponent (more negative), the smaller the number. The first is the smallest because it has the most negative exponent (-9), and the last is the largest with the exponent of 4. When exponents are the same, we then compare the coefficients (the numbers before the 'x10'), in this case, 5 is less than 8, so 5x10^4 is smaller than 8x10^4.
Samatha has 24 cards. Chelsea saw 15 more cards than Samatha. How many cards does Chelsea have?
Answers
24 + 15 = 39
Chelsea has 39 cards
The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh
Answers
Which of the following best describes the algebraic expression 5(x+2)-3? A. Three less than five times a number plus two B. Three less than five times the quantity of a number plus two
Answers
b. three less again -3 than five times the quantity of a number plus two -3*5(x+2)
which means B best describes our situation
Answer:
Option B is correct.
Three less than five times of a quantity of a number plus two.
Step-by-step explanation:
Given the expression: [tex]5(x+2)-3[/tex]
To describe the given algebraic expression.
Here, x be the number.
x+ 2 means "a number plus 2"
5(x+2) means "five times the quantity of a number plus two".
and
5(x+2)-3 means "Three less than five times of a quantity of a number plus two".
Therefore, the following which best describe the algebraic expression [tex]5(x+2)-3[/tex] is, Three less than five times of a quantity of a number plus two.
What is simplified form of the expression -(4)^-2
Answers
-1/16
Explanation:
First, when we have a negative power in the numerator, the number with this power will be moved to the denominator and the power is converted to a positive one.
In other words: a^-x = 1 / a^x
In the question, we have:
-(4)^-2
This can be written as:
- 1 / 4^2 = -1 / (4*4) = -1/16
Hope this helps :)
By properties of exponents we have:
- (1 / (4) ^ 2)
Rewriting the expression:
- (1 / (4 * 4))
- (1 / (16))
Answer:
simplified form of the expression - (4) ^ - 2 is:
-1/16
Write three equations whose graphs are the same line as the equation 3x+2y=7.
Answers
1. rule: the equation will be the same if the both its parts are multiplied by one number ('0' is not included!).
2. using the rule, described upon:
-3x-2y=-7 (*(-1));
6x+4y=14 (*2);
-6x-4y=-14 (*(-2)).
Note, that not all the ways are described.
You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week. If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week? A. 2003-09-04-00-00_files/i0160000.jpg B. 2003-09-04-00-00_files/i0160001.jpg C. 2003-09-04-00-00_files/i0160002.jpg D. 2003-09-04-00-00_files/i0160003.jpg Please select the best answer from the choices provided A B C D Mark this and return
Answers
we have that
x-------------> number of hours works at Burger Palace -----> $8
y-------------> number of hours works at community center -----> $10
8x+10y>=200
using a graph tool
see the attached figure
the answer is the option B
3c-d=t solve for d
I'm confused on this
Answers
Hope this helps ;)
d=3c-t
factor completely y^2-xy-56x^2
Answers
So [tex] y^{2} - xy - 56x^{2} [/tex] factored out is (y+7x)(y-8x)
We can check this using FOIL
F = (y)(y) = [tex] y^{2} [/tex]
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) = [tex] -56x^{2} [/tex]
[tex] y^{2} - 8xy + 7xy - 56x^{2} [/tex] Combine like terms
[tex] y^{2} - xy - 56x^{2} [/tex]
Answer: I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.
8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1
With two dice, each numbered 1-6, there are two possible ways to roll a 3: thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. how many possible ways are there to roll a 4?
Answers
Microstates for a sum of 4: (1,3),(2,2),(3,1) so three possible microstates.
Which property can be used to expand the expression -2(3/4x + 7)?
Answers
-2(3/4 x + 7)
-3/2 x - 14 <<<<<------- answer.
Warning. don't go any further.
Answer:
C
Step-by-step explanation:
Right in edge2020
The dining room table in Logan’s dollhouse is a replica of the dining room table in the actual house . The replica is 4 7/8 in. Long how long is the table in the actual house
Answers
4 7/8 x 1/16 = ___ ↓
39/8 x 1/16 = 39/128.
Hope this helps,
♥A.W.E.S.W.A.N.♥
Answer:
6ft 6 in
Step-by-step explanation:
Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.
1/16=478xx=16⋅478x=78
There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.
dividing fractions (pt. 2)
Answers
b) 7 / 2/3 = 7/1 x 3/2 = 21/2 = 10 and 1/2
2. 1.16666666667
A zoo has two male lions 1/6 of the line on male lions how many lions are there at the zoo
Answers
6x2=12
12 lions in total
Recently in a large random sample of teens a proportion of 0.76 teens said they send text messages to friends. the margin of error for a 98% confidence interval was 0.030. (a) what is the sample statistic for the proportion of teens who send text messages to friends
Answers
p = 0.76
Margin of error at 98% confidence = E = 0.030
The point estimate for proportion of of teens who send the text message = p = 0.76
The interval estimate for the proportion of teens who send the text message will be in the range:
( p - E, p + E)
p - E = 0.76 - 0.030 = 0.730
p + E = 0.76 + 0.030 = 0.790
Thus with 98% confidence we can say, the population proportion of teens who send the text message is between 0.730 and 0.790.
The sample statistic for the proportion of teens who send text messages to friends is 0.76 or 76%. This result was obtained with a 98% confidence interval and a margin of error of 0.03.
Explanation:The sample statistic in this scenario is the proportion of teens who said they send text messages to friends. In statistics, a sample proportion (also known as a sample percentage) is a way to express the count of observations in a category as a ratio or a fraction of the total sample size.
In your case, the sample statistic is 0.76, meaning that 76% of the teens in your sample said they send text messages to friends. This result was accompanied by a margin of error of 0.030 for your 98% confidence interval.
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.
The margin of error represents the range in which we are confident that the true population proportion lies given our sample statistic. With a confidence level of 98%, we are sure that if we repeated our sample many times, 98% of those samples would produce a proportion between 76%- 3% and 76% + 3%.
Learn more about Sample Proportion here:https://brainly.com/question/32638029
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Clark and his brother Kent played floor hockey in their living room. Each goal was worth 2 points. Clark scored 6 points. Kent scored 8 points. How many points did they score all together?
Answers
ILL CHOOSE BRAINLIEST!!!Which region represents the solution to the given system of inequalities?
A
B
C
D
Answers
The solution of a set of inequalities is the place where the lines intersect.
Hope I helped!
Let me know if you need anything else!
~ Zoe
Answer :- D region represents the solution to the given system of inequalities.
Explanation:
In the graph we can see the two lines drawn from the given system are intersecting in the fourth quadrant.
⇒The solution of the system lie in the fourth quadrant.
∴region D represents the solution to the given system of inequalities.
The graph of the linear inequality is the graph of all solutions of the system where the solution of the system of inequalities is the intersection region of the solutions of the two inequalities.Can someone verify this for me please!
Answers
!!!!!30 POINTS!!! HELP ME ON THESE GEOMETRY QUESTIONS PLEASE! PLEASE SHOW WORK AND EXPLAIN
Answers
.. a) ∠H = ∠B
Corresponding sides have the same relationship.
.. b) GH/DJ = AB/DC
2. Segments of the same line are proportional, so
.. FG/(47 m) = (73.8 m)/(82 m)
.. FG = (47 m)*(73.8/82) = 42.3 m
The distance between the two campsites is 42.3 m.
3. Corresponding sides are proportional.
.. (x -3)/8 = 2.5/2
.. x -3 = 8*(2.5/2) = 10
.. x = 13
4. Expand the fractions and subtract 1.
.. (x +3)/3 = (y +2)/2
.. x/3 +3/3 = y/2 +2/2
.. x/3 = y/2
5. Solved elsewhere.
https://brainly.com/question/8861591
Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats.
When writing constraints for the problem, what is the most reasonable definition for the variables x and y?
A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.
B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made.
C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used.
D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Answers
Answer with explanation:
Number of cups of peanut that Dana has =10 cups
Number of cups of flour that Dana has =12 cups
Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Constraints
⇒x>0, y>0
⇒3 x+y ≤10
⇒2 x+4 y ≤ 12
Maximize(Objective Function):
Z=6 x +7 y
⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats
Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
an appliance store sells lamps at $ 95.00 for two.a department store sells similar lamps at five for 250.00 which store sells at a better rate? how much is better?
Answers
what's the area of a square picture with 16 inch sides
Answers
To solve, we must plug in the given side length of 16 inches into the formula.
A = (16 inches)^2
A= 256 inches^2
Therefore, your answer is 256 inches^2.
Hope this helps!
Answer:
256
Step-by-step explanation:
Find (19 x 10*5) -(5 x 10 *4)
Answers
(5 x 10*4) is 200
soo 950 - 200 = 750
Answer:d
Step-by-step explanation:
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is ? cm2.
A. 102
B. 132
C. 168
D. 340
SOMEONE PLEASE HELP ASAP!!
Answers
[tex]A _{r} =(13cm)(6cm)[/tex]
[tex]A=78cm^{2} [/tex]
Similarly, the area of a triangle is one half times base times height, so [tex]At=( \frac{1}{2})bh [/tex]. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
[tex]A_{t} =( \frac{1}{2})(8cm)(6cm) [/tex]
[tex]A_{t} =24cm^{2} [/tex]
Now the only thing left is add our areas:
[tex]A_{total} =78cm^{2}+24cm^{2} =102cm^{2} [/tex]
We can conclude that the correct answer is A. 102