Answer:
40 liters of 88-octane gasoline should be mixed
Step-by-step explanation:
Here in this question, we are interested in calculating the number of liters of 88-octane gasoline that should be mixed with 100 liters of 95-octane gasoline to get a mixture of 93-octane gasoline.
Since we do not know the number of liters, we can represent it by x
This means that the total number of liters of the 93-octane gasoline we are looking at producing is (100 + x) liters.
Thus, if we multiply the number of liters of each gasoline type by their isooctane content and add together, we will obtain the product;
Hence;
88(x) + 100(95) = 93(100 + x)
88x + 9500 = 9300 + 93x
93x -88x = 9500-9300
5x = 200
x = 200/50
x = 40 liters
Emma wrote thirty-six thousand,forty-two as 3,642. Explain what she did wrong. Then write the number correctly
Answer:
she forgot to Putin a 0 for example
36,042
Which of the following is a quadratic equation that has the roots x = 5 and x = 6?
x2 − 11x = −30
x2 − 11x = 30
x2 + 11x + 30 = 0
x2 + 11x = 30
Answer:
x2 - 11x = -30
Step-by-step explanation:
x^2 - 11x = -30
add 30 to the left to make it = to zero
x^2 - 11x + 30 = 0
factor
(x-5)(x-6) = 0
check by FOIL
x times x = x^2
x times -6 = -6x
x times -5 = -5x
-6 + -5 = 11x
-5 times -6 = 30
y = x - 7, when x = 12.5
Hey there! Welcome to Brainly! I'm happy to help!
Let's plug this value of x into our equation.
y=12.5-7
y=5.5.
Have a wonderful day! :D
Steps to solve:
y = x - 7 when x = 12.5
~Substitute
y = 12.5 - 7
~Subtract
y = 5.5
Best of Luck!
Find the reciprocal of 10^-7
Answer:
The reciprocal of 710 is simply 107
Step-by-step explanation:
The reciprocal means flip the top and bottom. The reciprocal of 710 is simply 107 .
Answer:
the answer is The reciprocal of 710 is 107
Step-by-step explanation:
f3 + 11g - 4h when f=3 g=2 h=7
Answer:
3
Step-by-step explanation:
3 x 3 = 9
11 x 2 = 22
4 x 7 = 28
9 + 22 = 31
31 - 28 = 3
hope this helps :)
A pitcher can hold 8 times as much as a glass. The pitcher holds 64 ounces. Which model shows the comparison
Answer: 8
Step-by-step explanation:
I’m so confused someone help please! (Geometry)
Answer:
Therefore, x = 23°, ∠LKM = 56° and ∠MKN = 89° .
Step-by-step explanation:
Given that ∠LKN is 145° so we can assume that ∠LKM addes together with ∠MKN will get 145° in terms of x :
[tex]∠lkn = ∠lkm + ∠mkn = 145[/tex]
[tex]2x + 10 + 4x - 3 = 145[/tex]
[tex]6x + 7 = 145[/tex]
[tex]6x = 145 - 7[/tex]
[tex]6x = 138[/tex]
[tex]x = 138 \div 6 = 23[/tex]
Next, we have to substitute x = 23° into the expressions of ∠LKM and ∠MKN :
[tex]∠lkm = 2(23) + 10 = 56[/tex]
[tex]∠mkn = 4(23) - 3 = 89[/tex]
Which number is 10 times as much as 90
Answer:
Hey mate 9 is ur correct answer
Answer: 900
Step-by-step explanation:
Two is subtracted from a number, and then the difference is divided by 3. The result is 30. Find the number.
Hey there! I'm happy to help!
Let's call this number n. Here is the equation we can write.
(n-2)/3=30
We multiply both sides by 3.
n-2=90
We add 2 to both sides.
n=92.
Have a wonderful day! :D
8x-2=-947x
What does X stand for ?
Answer:
-7
Step-by-step explanation:
1st, regroup terms.
8x-2 = 7x -9
Next, subtract 7x from both sides.
8x-2-7x = -9
Next, Simplify 8x-2-7, to -2.
x-2 = -9
Add 2 to both sides.
x = -9 + 2
Simplify −9+2 to −7.
A bucket is slowly leaking, losing 1/4 of liter of water in 1/2 of a day. At what rate is the bucket leaking?
Answer: 850ml
Step-by-step explanation:
IL = 1 000ml
1/4 × 100
= 850ml
Answer: it 1/2
Step-by-step explanation: i got the answer on test!!!
The ages (in years) and heights (in Inches) of all pitchers for a baseball team are listed. Find the coefficient of variation for each of the two data sets. Then compare the
results.
***data set in picture attached***
CV heights= __% (Round to one decimal place as needed.)
Answer:
a) Coefficient of Variation for Height = 4.46%
b) Coefficient of Variation for Ages
= 12.26%
c)Comparing both Variations, the coefficient of variation for ages is larger than that of the mean and this is due to the fact that the
Step-by-step explanation:
Coefficient of Variation formula = Standard deviation / Mean × 100%
From the attached diagram, we are given sample data
1) For the Height
a) Mean of the Heights
= Sum of term/ Number of terms
= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12
= 884/12
= 73.66666667
b) Standard Deviation of Heights
For Sample data, the formula
=√ (X - Mean)²/n - 1
= 3.284490644
c) Coefficient of variation for Heights
Coefficient of Variation formula = Standard deviation / Mean × 100%
=( 3.284490644/73.66666667) × 100
= 0.04458584584 × 100
= 4.45858458441%
≈ 4.46%
2) Mean of ages
= Sum of terms/ Number of terms
= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12
= 330/12
= 27.5
b)Standard Deviation of Ages
For Sample data, the formula
=√ (X - Mean)²/n - 1
= √ (21 - 27.5)² + (26- 27.5)² +( 22- 27.5)² + (27- 27.5)² + (29- 27.5)² +( 26- 27.5)² +( 27- 27.5)² + (29- 27.5)² + (30 - 27.5)² + (31- 27.5)² + (31- 27.5)²+ (31- 27.5)²/12
=√ -6.5² + -1.5² + -5.5²+ -0.5² + 1.5² + -1.5² + -0.5² + 1.5² + 2.5² +3.5² + 3.5² + 3.5²/ 11
= √125/11
= √11.36363636
= 3.370999312
c) Coefficient of Variation
= Coefficient of Variation formula = Standard deviation / Mean × 100%
= (3.370999312/27.5) × 100
= 0.12258179316 × 100
= 12.258179316%
It should be noted that the coefficient of variation for height will be 4.46%.
How to calculate the coefficient of variationThe Coefficient of Variation formula will be:
= Standard deviation / Mean × 100%
The mean of the heights will be:
= Sum of term/ Number of terms
= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12
= 884/12
= 73.7
The standard deviation of heights is 3.28. Therefore, the coefficient of variation for heights will be:
= ( 3.28/73.7) × 100
= 4.46%
The mean of ages will be:
= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12
= 330/12
= 27.5
The standard deviation of ages is 3.37. Therefore, the coefficient of variation will be:
= (3.37/27.5) × 100
= 0.123 × 100
= 12.3%
In conclusion, the coefficient of variation for ages is larger than that of the mean.
Learn more about coefficient of variation on:
https://brainly.com/question/12327871
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
12
Step-by-step explanation:
30/25*10=12
Answer:
Step-by-step explanation:
Ellen O'Brien earns $23.68 per hour. Approximately how many hows must she work for her weekly gross pay to be $900.00 per week? *
Answer:
38.0067567568 hours
Step-by-step explanation:
Round this number the nearest hundredth 7.349
Answer:
Step-by-step explanation:
It is 7.3
given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens.
answer: f(x)= 3x^2-9x+3
Find the quotient.
(6x2 - x - 40) = (5 + 2x)
Answer:
factoring: x=3 discriminant: 1089
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2−x−40=5+2x
One number is three less than another. Their sum is seven. Find both number.
Answer: one number is 2 and the other is five
Step-by-step explanation: subtract 3 from five and you get two then add them together to get 7. hope this helps.
Reagan is buying candy by the pound, and so far her bag of candy weighs 0.45 pounds. Express this decimal as a fraction in simplest form.
Answer:
9/20
Step-by-step explanation:
0.45= 45/100= 9/20
Write an equation in point-slope form. Crossing the x-axis at x = -3 and the y-axis at y = 6
Answer:
y = 2x + 6
Step-by-step explanation:
The equation for a linear line is y = mx + c.
We know we want it to cross the y-axis at 6, so the y-intercept (c) can be assumed to be 6.
If we substitute in the x that we want, we end up with this:
0 = m(-3) + 6
m = 2
So now we can form the equation:
y = 2x + 6
Find the area of the region bounded by the graphs of the equations. y = −x2 + 4x, y = 0
Answer:
Area = 32/3
Step-by-step explanation:
To find the area bounded by the graphs, we will
need to first equate the y values;
-x^2 + 4x = 0
x^2 = 4x
divide both sides by x
x = 4
So the area we want to calculate now is the integral of -x^2 + 4x from 0 to 4
Please check attachment for the integration solution
4. A puppy weighed 35 pounds when she visited the vet last year. This year,
she weighs 68 pounds. Solve the equation 35 + w = 68 to find how many
pounds the dog gained during the year.
a. 103 pounds
b. 93 pounds
C. 35 pounds
d. 33 pounds
It takes a thermal drill 13 minutes to bore a hole -39 feet from ground level into a glacier. What is the change in depth after one minute?
Answer:
3 feet
Step-by-step explanation:
39 divided by 13 = the unit rate per min.
39 divided by 13 = 3
Answer:
-3 feet
Step-by-step explanation:
Divide -39 by 13, since it takes 13 minutes to dig -39 feet:
-39/13
= -3
So, the change in depth after one minute is -3 feet
What is the sign of each product? Choose positive or negative
Answer: the answer will be negative.
Step-by-step explanation: Once you have the numerical answer, then you can apply a very simple rule to determine the sign of the answer: When the signs of the two numbers are the same, the answer will be positive. When the signs of the two numbers are different, the answer will be negative.
Which algebraic expression is a polynormial
Answer:
Polynomials in one variable are algebric rcpressions that consist of terms in the form axn a x n where n id a non-negayive(i.e positive or zero)integer and a is a real number and is called the coefgicient of the term.The degree of polynomial in ine variable is the largest exponent in the polynomial.
Please help!!! Use the number line to add the fraction. Drag and drop the answer into the box to match the sum.
Answer:
1/8
Step-by-step explanation:
3/4 can be rewritten as 6/8 to make this easier.
-5/8 + 6/8 is like doing -5 + 6, giving you 1. We can then reintroduce the denominator to get the answer of 1/8.
Use the method of mathematical induction to prove that for each integer n≥1, 5+9+13+⋯+(4n+1)=2n^2+3n
Answer:
Step-by-step explanation: 834^2n>4n
STEM The table shows the mass in grams of one atom of each of
several elements. List the elements in order from the least mass to
greatest mass per atom.
Answer: are you in 8th grade cuz i got that question on my math course 3 note book. And I need help for that one too lol
I found out the answer is hydrogen,carbon,oxygen, silver and gold
The mass from the least to the greatest is hydrogen, carbon, oxygen, silver and gold
What is the mass from least to the greatest?The mass is written in scientific notation. Scientific notation is used in expressing large numbers in smaller numbers.
For example:
• The number : 1 x [tex]10^{-2}[/tex] is equivalent to 0.01
• The number 5 x [tex]10^{-3}[/tex]is equivalent to 0.001
To learn more about scientific form, please check: https://brainly.com/question/25334755
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Convert to pints: 6 quarts
Answer:
12 pints
Step-by-step explanation:
I’m stuck on this one please help
Answer:
for C i would say its 2
Step-by-step explanation:
