Answer:16
Step-by-step explanation:
265 / 10= 26.5 miles per gal.
424 miles / 26.5 mpg = 16 gallons
Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
What mistake did Lorie make?
A. She added an extra term to the dividend.
B. She combined the constants incorrectly in the last step.
C. The second term in the quotient should be 7.
D. The last term in the quotient has an incorrect denominator.
Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (x³ + x² - x)
5x² + x + 5
-(5x² + 5x - 5)
-4x + 10
Result : [tex]x+5+\frac{-4x+10}{(x^{2}+x-1)}[/tex]
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
PLEASE HELP ASAP
Prove that triangles PQR and RSQ are congruent.
Given:
PQ = RS, and
Answer:
Step-by-step explanation:
ok so lets assume that line PQ and RS and QR and PS are parallel lines cut by a transeversal. To prove this you can do it in a couple of different ways the one way i know is that if you assume these are parralel then you can uses the alternate interior anges to prove that measure of QSP and SQR then by logic you know that PQS + SQR = RSQ+QSP which symplifies to PQR = RSQ
George is making an xylophone. So far, he has bars that are 1.75 feet, 1 and 7/12 feet, and 1 2/3 feet long. What is the length of the longest bar.
what is the answer to this question
Answer:
i think i am going to pick a random letter because i cant see it ts blocked so i guess c
Step-by-step explanation:
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?
Answer:
The Y-intercept is the Y value when X = 0.
Find the change in X:
-56 to -42 = 14
-42 to -28 = 14
The X value changes by 14.
For every change in X the Y change:
66-58 = 8
58-50 = 8
For X to get from -28 to 0 would be 2 more changes:
-28 +14 = -14
-14 + 14 = 0
2 more changes of Y would be:
50-8 = 42
42-8 = 34
So when X = 0, Y = 34
The Y-intercept would be (0,34)
Step-by-step explanation:
like if it helps <3
In a group of 80 people, 50 can speak Nepali, 45 can speak English and 7 of them do not
speak both languages.
a) Find the number of people who speak both languages.
b) Also illustrate the above information in Venn diagram.
Answer:
Universal set is 80
Number of people that speak Nepali is 50
Number of people that speak English is 45
Number of people that do not speak both is 7
a. Number of people that speak both languages is 22
b. As above
Step-by-step explanation:
a. Let make number of people that speak both languages x
To get x
(50-x) + (45-x) + x + 7 = 80
(50-x) + (45-x) + x = 80 - 7
(50-x) + (45-x) + x = 73
Open bracket
50-x+45-x+x= 73
50+45-2x+x = 73
95 - x = 73
-x = 73 - 95
-x = -22
x = 22
Therefore, number of people that speak both languages is 22
b. To get venn diagram
Number of people that speak Nepali is 50 - 22 = 28
Number of people that speak English is 45 - 22 = 23
Therefore, total = 28+23+22+7 = 80
what is the quotient of
2 1/2 ÷ (-1 3/4)
enter your answer as a mixed number in simplified form
Answer:The exact form is -10/7 the simplified form is -1 3/7
Step-by-step explanation:
30=Five-sixthsY solve for Y
Given :-
A linear Question is given to us .The equⁿ is [tex]\sf 30 = \dfrac{5}{6}y[/tex]To Find :-
The value of y .Solution:-
Taking the given equⁿ :
[tex]\bf \implies30=\dfrac{5}{6}y[/tex]
[tex]\bf \implies 30\times 6=5y[/tex]
[tex]\bf\implies y=\dfrac{\cancel{30}\times6}{\cancel5}[/tex]
[tex]\underline{\boxed{\red{\bf{\longmapsto \qquad y \qquad = \qquad 36 \qquad}}}}[/tex]
[tex]\boxed{\green{\bf\pink{\dag}\: Hence\:the\:value\:of\:y\:is\:36.}}[/tex]
Some rules :-
On transposing numbers or variables,
Plus changes to minus.Minus changes to plus .Multiply changes to divide.Divide changes to multiply.HELP PLEASE !!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
5 7/12 + 4 6/12 = 9 13/12 = 1 1/12 what's the error analysis?
Answer:boo
Step-by-step explanation:booooo
Answer:
5 7/12 + 4 6/12 = 9 13/12 is correct but 9 13/12 is equal to 10 1/12 not 1 1/12 because 13/12 is 1 1/12 and you have to add 1 1/12 to 9. So the error analysis is simplifying 9 13/12 to 1 1/12.
Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?
Answer:
2 3/5 inches in a year
Step-by-step explanation:
28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5
also this one! :( pls help again! thanks.
Answer:
9 is the answer
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
You can use a calculator
Answer:
238, 000
Step-by-step explanation:
hope this helps </3
How many solutions does the equation have?
3(d+11) = 6(d +33)
O 0
O 1
O infinitely many
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.
__
Dividing by 3 gives ...
d +11 = 2(d +33)
d + 11 = 2d + 66
Adding -d-66 to both sides gives ...
-55 = d . . . . . . the one solution
Answer:
The answer is B
Step-by-step explanation:
i took the test and 1 was correct so.
Is the expression 6+3=9 an equation? Explain.
Answer:
No, 6+3=9 is not an equation.
Step-by-step explanation:
The reason as to why this is not an equation is because an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign. And 6+3=9 does not in fact connect two separate expressions.
Solve the problem by entering and solving an equation.
A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches. What is the width of the frame?
Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.
To Find : The width of the frame .
Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;
[tex]\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}[/tex]
Where , l is the length of the rectangle and b is the breadth of the rectangle .
⇒ Perimeter = 2 ( l + b ) .
⇒ 52 in. = 2 ( 12 + x ) in.
⇒ 52 in.= 24in. + 2x .
⇒ 2x =( 52 - 24 ) in
⇒ 2x = 28 in.
⇒ x = 28/2 in.
⇒ x = 14 in.
Hence the width of the rectangle is 14 inches.
Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.
Answer:
[tex]x_1 = 1[/tex]
[tex]x_2=0[/tex]
Step-by-step explanation:
The question is incomplete as the method is not given.
However, the question can still be solved.
Given
[tex]x_1 - x_2 = 1[/tex]
[tex]3x_1 + x_2 = 3[/tex]
Make xi the subject in the first equation
[tex]x_1 = 1 + x_2[/tex]
Substitute 1 + x2 for xi in the second equation
[tex]3(1+x_2)+x_2 = 3[/tex]
Open bracket
[tex]3+3x_2+x_2=3[/tex]
[tex]3+4x_2=3[/tex]
Collect Like Terms
[tex]4x_2 = 3-3[/tex]
[tex]4x_2 =0[/tex]
Solve for x2
[tex]x_2=0/4[/tex]
[tex]x_2=0[/tex]
Recall that:
[tex]x_1 = 1 + x_2[/tex]
[tex]x_1 = 1+0[/tex]
[tex]x_1 = 1[/tex]
What is the answer to -1x(-2)
Answer: 2x
Step-by-step explanation:
Answer:
2x
Step-by-step explanation:
Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D
How could you use a multiplication algorithm to multiply a 4-digit number by a 1-digit number?
Choose all that apply.
Multiply each place value in order. Regroup if needed. Add any regrouped values to each place value.
Add the digits in the 4-digit number and multiply by the 1-digit number.
Multiply to find the partial products and then add.
Use place value to rewrite the 4-digit number as a sum. Use the Distributive Property to find partial products. Add.
Multiply the digits in the 4-digit number and add the 1-digit number.
Answer:
is 1,2,3 the answer ? if not what is the answer cuz im doing the same question
Step-by-step explanation:
In the game of roulette, a wheel consists of 38 slots, numbered 0, 00, 1, 2, ..., 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. To simulate outcomes from spinning the wheel, a researcher used the integer distribution to randomly generate 1000 numbers from 1 to 38, where 37 represents 0 and 38 represents 00.
Required:
a. What is the probability that the metal ball lands on green or red?
b. What is the probability that the metal ball does not land one green?
Answer:
hkkkkkkkkv
Step-by-step explanation:
khvvvvvvvvvvvvvvv
The sum of twice a number n and 8 is less than 25
Answer:
2n+8=25
Equation
Step-by-step explanation:
n=8.5
This is the answer
A number, n, is greater than -4 and less than or equal to 6.
Answer:
-3-,2,-1,0,1,2,3,4,5
Step-by-step explanation:
-4<n<6
Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.
Answer:
S = 1 bag of popcorn
Y = 1 water
Step-by-step explanation:
S x 3 + Y x 4 = R
40 - R = (The Answer)
Help me out please I need it
Answer:
what do you need help with you did not provide a picture or any evidence
Step-by-step explanation:
step-by-step explanation
Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qual a probabilidade desta bola ser vermelha? Assinale a alternativa correta, que representa a probabilidade desta situação.
qual dessas quatro e a resposta .
14 / 40
15 / 40
16 / 40
17 / 40
Answer:
p = 15/40
Step-by-step explanation:
Since the total number of marbles is 40, that is our size of the sample. there are 16 red ones on that sample, so the probability of extracting a red marble from the box is given by the ratio of successes divided the total number of marbles:
p = 15/40
Help me please I really need help
Answer:
it doesn't because it's not a set of ordered pairs
you have been planning to buy a new swimsuit this year. you just found one that you really like that is 50% off. if the original cost of the swimsuit is $24 how much is it now?
Answer:
$12
Step-by-step explanation:
50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.
Is 4.95 a terminating decimal
Answer:
Definitely
since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.
Step-by-step explanation:
v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary
Answer:
c
Step-by-step explanation:
c because