Let x be the needed volume of 50% antifreeze solution. x gallons of this solution contains 0.50x gal of antifreeze.
Mixing this amount with 90 gal of 25% solution makes a total volume of (x + 90) gal of solution.
90 gal of 25% solution contains 0.25 (90 gal) = 22.5 gal of antifreeze.
The new mixture would then consist of (0.50x + 22.5) gal.
If its concentration of antifreeze is supposed to be 40%, then
(0.50x + 22.5)/(x + 90) = 0.40
Solve for x :
0.50x + 22.5 = 0.49 (x + 90)
0.50x + 22.5 = 0.49x + 44.1
0.01x = 21.6
x = 2160
A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below
Answer: y = -2x+9
Step-by-step explanation:
The student council at Greenwood High School is making T-shirts to sell for a fundraiser, at a price of $19 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $88. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answer:
19-8=11,11*n>=88,n>=8 ，8*119-8=11,11*n>=88,n>=8 9=152
Step-by-step explanation:
Unit price - cost = unit profit
When unit profit * quantity > = Installation cost, achieve positive profit
PLEASE HELP QUESTION 4 ILL GIVE BRAINLIEST
Answer:
7
Step-by-step explanation:
We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7
what is 2/3 divided by 1/3
Find the slope
X: 1, 5, 9, 13
Y: 1, 17, 33, 49
Answer:
Step-by-step explanation:
Givens
Take any two points (9,33) and (5,17)
Use the slope formula to determine what the slope might be
m = (y2 - y1)/(x2 - x1)
y2 = 33
y1 = 17
x2 = 9
x1 = 5
Solution
m = (33 -17) / (9 - 5)
m = 16/4
m = 4
Extra
Use 5,17 to get the y intercept
x = 5
y = 17
y = 4x + b
x = 5
y = 17
Use the general equation for a line: y = 4x + b and solve for b
17 = 4*5 + b
17 = 20 + b
b = - 3
So the line equation is y = 4x - 3
I did this extra work because I did not believe that 1,1 could be a solution for this equation given the other numbers. Turns out I was wrong. y = 4x - 3 has all 4 points on the line.
Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?
The interest rate of Jill's account as described is; 0.51%
The amount invested by Jill is $7,972.
According to compound interest;
A = P {1 + (r/n)}^nt.In which case;
A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15Therefore;
$16,876.72 = $7,972 (1 + r/1)^(1×15)$16,876.72/$7,972 = (1 + r/1)^(1×15)2.117 = (1 + r/1)^(1×15)[tex]1 + r = \sqrt[15]{2.117} [/tex]
1 + r = 1.051r = 1.051 - 1r = 0.051The interest rate is therefore; 0.51%
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Why is unit rate the only attribute we use to compare proportional relationships?
Answer:
Because its an internationally accepted method.
Step-by-step explanation:
Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer
what is the measure of angle ASC
Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E
Answer:
EF= 18 in. , m<F=134'
Step-by-step explanation:
This ones for the boys with the booming system, top down ac with the cooling sytem
Plz help me! I don’t get it
Answer:
at y: from 0-4 -> subtract 3.5 like 4-3,5=0,5 etc
Solve the inequality and enter your solution as an inequality.
7x > 49
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x > 7}}}\\\\\large\boxed{\mathsf{it\ is\ an\ O P E N\ circle\ shaded\ to\ the\ RIGHT}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help me out pleaseeee
Step-by-step explanation:
(5p+11)+(8p-4)5p+11+8p-4
5p+11+8p-145p+7+8p13p+7Hope it's help you
Have a great day<3
please make me brainliest please
Answer:
(5p+11)+(8p-4)
Remove parentheses:5p+11+8p-4
Combine like terms:5p+8p+11-4
=13p+7
Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?
Duke swims 0.05 miles in a minute.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Duke swims 0.10 mile in 2 minutes.
Now,
Since, Duke swims 0.10 mile in 2 minutes.
Thus, Speed = 0.10 / 2
Speed = 0.05 mile per minute
And, He swims at the same speed.
Thus, Distance in 1 minute,
Speed = Distance / Time
0.05 = Distance / 1
Distance = 0.05 miles.
Thus, Duke swims 0.05 miles in a minute.
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A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.
Answer:
yy is the comparative narrow of speech to me happy and a bit in a sentence
Step-by-step explanation:
ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be
Please help I’ll give brainylist in return thank you
Which of the following functions best describes this graph?
Answer:
c
Step-by-step explanation:
y=x2-5x+6
Jessica bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 19 dollars. How much did each candy bar cost ?
Answer:
$3
Step-by-step explanation:
19-4= 15
15 divided by 5= 3
Write the first five digits of 1/7 in base 9 expression
Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:
1/9 = 7/63
2/9 = 14/63
while
1/7 = 9/63
Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,
1/7 = 1/9¹ + 2/63.
We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and
1/9² = 7/567
2/9² = 14/567
3/9² = 21/567
while
2/63 = 18/567
Then
2/63 = 2/9² + 4/567
so
1/7 = 1/9¹ + 2/9² + 4/567
Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and
1/9³ = 7/5103
2/9³ = 14/5103
3/9³ = 21/5103
4/9³ = 28/5103
5/9³ = 35/5103
6/9³ = 42/5103
while
4/567 = 36/5103
so that
4/567 = 5/9³ + 1/5103
and so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103
Next, LCM(5103, 9⁴) = 45927, and
1/9⁴ = 7/45927
2/9⁴ = 14/45927
while
1/5103 = 9/45927
Then
1/5103 = 1/9⁴ + 2/45927
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927
One last time: LCM(45927, 9⁵) = 413343, and
1/9⁵ = 7/413343
2/9⁵ = 14/413343
3/9⁵ = 21/413343
while
2/45927 = 18/413343
Then
2/45927 = 2/9⁵ + remainder
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder
Then the base 9 expansion of 1/7 is
0.12512..._9
PRETTY PLS HELP ME JUST 2 MORE QUESTIONS PLS 50 POINTS
Answer:
I think that you should take your time and answer, every one can help you
Step-by-step explanation:
Step-by-step explanation:
ok give question and intro new sis
Stuck on no.2 so any help will be appreciated : )
Answer:
Step-by-step explanation:
[tex]\dfrac{x^{m}}{x^{n}}=x^{m-n}\\\\\\a)\dfrac{a^{5}}{a^{3}}=a^{5-3}=a^{2}\\\\\\b)\dfrac{c^{4}}{c^{3}}=c^{4-3}= c^{1} =c[/tex]
Answer:
A) a^2
B) c
Step-by-step explanation: hope this helps
Does anyone know the answer to this problem??
20 of the 120 don’t take either. This means 100 students take French, Spanish or both.
The total taking a language is 53 + 68 = 121
A) 131 -100 = 21
There are 21 students taking both French and Spanish
B) 53-21 = 32 take Spanish only.
32 / 120 students = 4/15 probability
Let
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I think when you copied and pasted your question it re arranged itself
South Africa broke the world record for largest pizza in 1990. It weighed `26833` pounds
3 medium pizzas weigh about 2 pounds with toppings.
About how many medium pizzas are equivalent to the world’s largest pizza?
8,944 hope this helps
About 40250 medium sized pizzas are equivalent to world's largest pizza.
What is Scaling factor?Scaling factor is used to represent how many times of one quantity is equal to another. Mathematically, if x is three times y, this can be written as-
x = 3y
where 3 is the scaling factor.
Given is weight of world's largest pizza and is equal to 26833 pounds and 3 medium pizzas weigh about 2 pounds with toppings.
Now -
3 medium pizzas → 2 pounds
1 medium pizza → (2/3) pounds
Suppose that the weight of world's largest pizza is K times than that of 1 medium pizza. Then we can write -
26833 = 2K/3
K = (26833 x 3)/2
K = 40249.5 = 40250
Therefore, about 40250 medium sized pizzas are equivalent to world's largest pizza.
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Helppp on mathhh pls it’s due tomorrow
Answer:
1. 20 km
2. 0.5 hours
3. 40 km
4. 1.5 hours
5. A, 40 km/hr
6. 80 km/hr, 40 km/hr
Step-by-step explanation:
2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.
1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.
3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.
4. Both cars reached point C at the same time of 1.5 hours.
5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]
6.
First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]
Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]
Determine the Domain and Range. Then decide if the relation is a function or not.
Find the value of x and y.
Answer:
x=8
y=3
Step-by-step explanation:
the triangle on the right side is equilateral, therefore also equiangular, which means each angle is 60 degrees
that means that 4x-2 = 30; 4x = 32; x = 8
also means that 7y+9 = 180-(90+60); 7y+9 = 30; 7y = 21; y = 3
PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
d. took the test
Step-by-step explanation:
I want you to set a goal of signing up 25% of your new customers for our new service feature." Representative: "If I get 96 new customers that means I have to get
If he get 96 new customers that means he will have to sign 24 customers
for the new service features.
The deal is to get 25% of your new customer to sign the new service features.
When the new customers are 96 in numbers, the number of individuals(25%
of the new customers) to be signed for the new features can be calculated as
follows:
New customer to sign for the new features = 25% of 96
New customer to sign for the new features = 25 / 100 × 96
New customer to sign for the new features = 2400 / 100
New customer to sign for the new features = 24
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This means that if I get 96 new customers that means I have to get 24 new customers
From the question, I want to set a goal of signing up 25% of your new customers for our new service feature.
Since we have 96 new customers, hence the total amount of new customers needed will be expressed as:
= 25% of 96
= 0.25 * 96
= 24 new customers
This means that if I get 96 new customers that means I have to get 24 new customers
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answer please!!!!!!!!!!!!!!!!!
