Answer:
311
Step-by-step explanation:
you could try to round it for example 510-200=310
310+3=313
313-2=311
Mrs. Evans drove 24 miles on 3 gallons of gas. What is her unit rate in miles per gallon??
Answer: 8 miles
Step-by-step explanation:
24/3=8
Joey has 3 liters of lemonade to share with 6 friends. He
decides put 0.5 liter of lemonade in each of his friends'
6 cups, then drink any leftover lemonade himself. How
much lemonade will Joey get to drink?
A. O liters
B. 0.2 liter
C. 0.5 liter
D. 0.8 liter
E. 1 liter
N
Answer:
bruh dis ni gga should keep all his lemonade forget his friends
Step-by-step explanation:
Describe the relationship between the two quantities.
Distance traveled by car; Amount of gas in the car.
a. inverse
c. joint
b. direct
d. compound
Please select the best answer from the choices provided
The relationship between the distance traveled by a car and the amount of gas in the car is inverse. As the distance increases, the gas decreases
Explanation:The relationship between the distance traveled by a car and the amount of gas in the car is inverse. This means that as one quantity increases, the other decreases. In this case, as the distance traveled by a car increases, the amount of gas in the car decreases, because the car uses gas to move. In other words, the more you drive, the less gas you have left in your car.
Learn more about Inverse relationship here:https://brainly.com/question/10025284
#SPJ2
PLEASE HELP ASAP! THANK YOU LOTS! <3
Answer:
C
Step-by-step explanation:
12 divided by 3 is 4 and 30 divided by 3 is 10
30 cm on the smaller figure corresponds to 12 meters on the larger figure.
We can write the ratio 30 cm : 12 m
If we divide both parts by the GCF 6 then,
30/6 = 5
12/6 = 2
This means the ratio 30 cm : 12 m reduces to 5 cm : 2 m
Telling us "2 meters on the real house correspond to 5 cm on the doll house"
Answer: Choice B. 5 cm : 2 mWrite the next three terms of the geometric sequence.
A. 32, 8, 2, 1/2, ...
B. 16/9, 8/3, 4, 6, ...
The correct statement is that the terms are
A. The next three numbers are 1/8, 1/32, and 1/128.
B. The next three-term will be 9, 13.5, and 20.5.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
Given
A. 32, 8, 2, 1/2, ...
B. 16/9, 8/3, 4, 6, ...
How to find the next three numbers?A. 32, 8, 2, 1/2... can be expressed as [tex]2^{2n - 1}[/tex]
Then For n= -1, -2, and -3, Then the next three numbers will be
[tex]2^{-2 - 1} \ \ \ \ \ , \ 2^{-4 - 1} \ \ \ \ \ , \ 2^{-6 - 1}\\\dfrac{1}{8} \ \ \ \ \ \ \ \ \ \ \ , \dfrac{1}{32} \ \ \ \ \ \ \ \ \ \ , \dfrac{1}{128}[/tex]
The next three numbers are 1/8, 1/32, and 1/128.
B. 16/9, 8/3, 4, 6... each term increases by 2/4. So the next three-term will be 9, 13.5, and 20.5.
Thus, the terms are 9, 13.5, and 20.5.
More about the sequence and the series link is given below.
https://brainly.com/question/8195467
28.71 is what percent of 6.6?
Answer:
28.71 is 435% of 6.6
Step-by-step explanation:
100%/x%=6.6/28.71
(100/x)*x=(6.6/28.71)*x - we multiply both sides of the equation by x
100=0.229885057471*x - we divide both sides of the equation by (0.229885057471) to get x
100/0.229885057471=x
435=x
x=435
( y + 1 ) + 4 = ?
Use one or more properties to rewrite each expression that dose not use parentheses.
To rewrite the expression (y + 1) + 4 without using parentheses, we can distribute 4 to the terms inside the parentheses and then combine like terms.
Explanation:
To rewrite the expression without using parentheses, we can use the distributive property. The distributive property states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding them together. In this case, we have (y + 1) + 4, and we can distribute the 4 to both terms inside the parentheses. So, (y + 1) + 4 can be rewritten as y + 1 + 4.Next, we can combine like terms. The terms y and 1 do not have any common variable factors, so they cannot be combined. However, 1 and 4 are both constants, so they can be added together to give us 5. Therefore, y + 1 + 4 simplifies to y + 5.
So, the expression (y + 1) + 4 can be rewritten as y + 5.
Learn more about Distributive property here:https://brainly.com/question/35587796
#SPJ2
Which shows 50% of the area shaded?
Answer:
B shows 50% shaded
Step-by-step explanation:
Count how many triangles are in it (4) then see how many are shaded (2/4).
Simplify it to 1/2=50% then you got your answer.
Answer:
B
Step-by-step explanation:
because there is 2 trangle shaded and 2 trangle remain blank
CAN SOMEBODY PLEASE HELP ME??
Answer: According to the pattern i think its 66
Step-by-step explanation:
can plz someone help me
The ball that reached the highest is Mario's because his reached past 10 whereas Jasmine's was 7.8. The ball that went the farthest is Jasmine's.
3X plus 3Y equals -18 and negative 2X plus 2Y equals -4 find a solution set
Answer:
The vaues to the given equations are x=-2 and y=-4
Therefore the solution set is (-2,-4)
Step-by-step explanation:
Given equations are [tex]3x+3y=-18\hfill (1)[/tex]
[tex]-2x+2y=-4\hfill (2)[/tex]
To solve the given equation to find the solution set :
Multiply the equation (1) into 2 we get
[tex]6x+6y=-36\hfill (3)[/tex]
Multiply the equation (2) into 3 we get
[tex]-6x+6y=-12\hfill (4)[/tex]
Now adding the equations (3) and (4) we get
[tex]6x+6y=-36[/tex]
[tex]-6x+6y=-12[/tex]
________________
[tex]12y=-48[/tex]
[tex]y=\frac{-48}{12}[/tex]
Therefore y=-4
Substitute the value of y=-4 in the equation (1) we get
[tex]3x+3y=-18[/tex]
[tex]3x+3(-4)=-18[/tex]
3x-12=-18
3x-12+12=-18+12
3x=-6
[tex]x=\frac{-6}{3}[/tex]
Therefore x=-2
The vaues to the given equations are x=-2 and y=-4
Therefore the solution set is (-2,-4)
SOME ONE PLEASE HELP
Answer
6,000x
Explanation
To work out how many times greater something is compared to another, we have to divide the larger number by the smaller
To put it more simply, imagine you had 30 apples and I had 6. To work out how many times greater your apple collection was than mine, you would divide your 30 by my 6, and find that you had 5 times as many apples as me (30 ÷ 6 = 5).
The principle is the same here, how many more viruses (3 x 10⁹) are there compared to protozoa (5 x 10⁵)?
We do 3 x 10⁹ ÷ 5 x 10⁵
3 x 10⁹ = 3,000,000,000
5 x 10⁵ = 500,000
3,000,000,000 ÷ 500,000 = 6,000 times more
Is the graphed function linear?
400
300
Yes, because each input value corresponds to
exactly one output value.
Yes, because the outputs increase as the inputs
increase
* No, because the graph is not continuous
200
No, because the curve indicates that the rate of
change is not constant.
100
4
6
to know if something is linear when you graph it it is always going to be in a straight line. if it isn't then it is not linear
Answer:
D
Step-by-step explanation:
i got it right on E2020
Help me please..... .......thanks
Answer:
Step-by-step explanation:
3/8
f
(
x
)
=
−
x
2
+
6
x
+
13
f(x)=−x
2
+6x+13, determine the average rate of change of the function over the interval
−
1
≤
x
≤
5
−1≤x≤5.
Answer:
The average rate of change of [tex]f(x) = x^2 +6x+13[/tex] is 12
The average rate of change of [tex]f(x) =- x^2 +6x+13[/tex] is 10
Step-by-step explanation:
The average rate of change of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the secant line connecting the 2 points.
We can calculate the average rate of change between the 2 points by
[tex]\frac{f(b) - f(a)}{b -a}[/tex]-------------------(1)
(1) The average rate of change of the function [tex]f(x) = x^2 +6x+13[/tex] over the interval 1 ≤ x ≤ 5
f(a) = f(1)
[tex]f(1) = (1)^2 +6(1) + 13[/tex]
f(1) =1+6+13
f(a) = 20---------------------(2)
f(b) = f(5)
[tex]f(5) = (5)^2 +6(5)+13[/tex]
f(5) = 25 +30 +13
f(5) = 68-----------------------(3)
The average rate of change between (1 ,20) and (5 ,68 ) is
Substituting eq(2) and(3) in (1)
=[tex]\frac{f(5) - f(1)}{5-1}[/tex]
=[tex]\frac{68 -20}{5-1}[/tex]
= [tex]\frac{48}{4}[/tex]
=12
This means that the average of all the slopes of lines tangent to the graph of f(x) between (1 ,20) and (5 ,68 ) is 12
(2) The average rate of change of the function [tex]f(x) = -x^2 +6x+13[/tex] over the interval -1 ≤ x ≤ 5
f(a) = f(-1)
[tex]f(1) = (-1)^2 +6(-1) + 13[/tex]
f(1) =1-6+13
f(1) = 8---------------------(4)
f(b) = f(5)
[tex]f(5) = (5)^2 +6(5)+13[/tex]
f(5) = 25 +30 +13
f(5) = 68-----------------------(5)
The average rate of change between (-1 ,8) and (5 ,68 ) is
Equation (1) becomes
[tex]\frac{f(5) - f(-1)}{5-(-1)}[/tex]
On substituting the values
=[tex]\frac{68 - 8}{5-(-1)}[/tex]
=[tex]\frac{60}{5+1}[/tex]
=[tex]\frac{60}{6}[/tex]
= 10
This means that the average of all the slopes of lines tangent to the graph of f(x) between (-1 ,8) and (5 ,68 ) is 10
Three different car dealers advertised the
same make and model car at the following
prices: $14,280; $14,195; and $14,275.
(A) How much can be saved by buying the
least expensive car instead of the most ex-
pensive? (B) What is the average price?
Final answer:
Buying the least expensive car can save $85, and the average price of the car from the three dealers is $14,250.
Explanation:
To address the question concerning the savings and the average price of a car being advertised by three different dealers, we perform the following calculations:
First, identify the least and most expensive cars. The lowest price is $14,195, and the highest price is $14,280.To find out how much can be saved, subtract the least expensive car's price from the most expensive car's price: $14,280 - $14,195 = $85. So, buying the least expensive car instead of the most expensive can save $85.To find the average price of the car based on the three dealers' prices, add all the prices together and divide by the number of prices: ($14,280 + $14,195 + $14,275) / 3 = $42,750 / 3 = $14,250. The average price of the car is $14,250.Complete the equation of the line through (-10,3) and (-8,-8)
Answer: 2y + 11x = -104
Step-by-step explanation:
The formula for calculating equation of line given two points is :
[tex]\frac{y-y_{1}}{x-x_{1}}[/tex] = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1}[/tex] = -10
[tex]x_{2}[/tex] = -8
[tex]y_{1}[/tex] = 3
[tex]y_{2}[/tex] = -8
substituting the values into the formula , we have :
[tex]\frac{y-3}{x-(-10)}[/tex] = [tex]\frac{-8-3}{-8-(-10)}[/tex]
[tex]\frac{y - 3}{x + 10}[/tex] = [tex]\frac{-11}{2}[/tex]
2(y - 3 ) = -11 ( x +10 )
2y - 6 = -11x - 110
2y + 11x = -110 + 6
2y + 11x = -104
Therefore : the equation of the line in standard form is 2y + 11x = -104
Solve each compound inequality and graph the solutions. -2 < x - 3 < 5
Answer:
See attachment.
Step-by-step explanation:
The given inequality is -2 < x - 3 < 5.
We add 3 to each part of -2 +3< x - 3+3 < 5+3
We now simplify to get: 1 < x < 8.
To represent this on the number line, we have to draw open circles at 1 and 8 and connect them as shown in the attachment.
The price of an item yesterday was 115. Today the price fell to 69. Find the percentage decrease
Answer:
Step-by-step explanation:
40%
The formula is
Old-new/old *100
115-69/115*100
The percentage decrease is 40% if the price of an item yesterday was 115. Today the price fell to 69.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
The price of an item yesterday was 115. Today the price fell to 69.
The difference in price = 115 - 69 = 46
Percentage decrease = (46/115)×100 = 40%
Thus, the percentage decrease is 40% if the price of an item yesterday was 115. Today the price fell to 69.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Which expression has a negative value?
Answer:
-3×3×-3×-3 is positive
Answer:
-3 x 3 x -3 x -3 because the answer is -81.
(Bottom Left)
Which answer represents the series in sigma notation? −5+(−1)+3+7+11
The series in sigma notation is: representing terms increasing by 4 starting from -5.
To represent the series in sigma notation, let's first examine the pattern of the terms.
The given series starts with -5 and each subsequent term increases by 4. We can express this pattern using the formula:
[tex]\[ a_n = -5 + (n - 1) \times 4 \][/tex]
Here, [tex]\( a_n \) represents the \( n \)th term of the series[/tex].
Now, let's break down the components of the formula:
-[tex]\( -5 \) is the initial term of the series.- \( (n - 1) \) accounts for the position of each term in the series. When \( n = 1 \), \( (n - 1) = 0 \), so the first term is \( -5 \). As \( n \) increases, \( (n - 1) \) increases by 1, causing the series to increase by 4 each time.- \( 4 \) is the common difference between consecutive terms in the series.[/tex]
Next, we represent the series using sigma notation:
[tex]\[ \sum_{n=1}^{5} (-5 + (n-1) \times 4) \][/tex]
This notation indicates that we sum up the expression [tex]\( -5 + (n-1) \times 4 \) for \( n \)[/tex] ranging from 1 to 5, which covers all the terms of the given series.
In summary, the series is represented in sigma notation as described above, capturing the pattern of increasing terms starting from -5.
Damien landers 10K race in 30 minutes Kyle Tucker one-and-a-half times as long as Damien how long did kyle take to run the race
Answer:
45 minutes
Step-by-step explanation:
1.5 × (30 min) = 45 min
It took Kyle 45 minutes to run the race.
Answer:
45 minutes
Step-by-step explanation:
If it is one and a half it would be a whole so 30 but the half, is half of 30, so 15. 30+ 15= 45
PLS HELP - What is the product?
(2x-1)(x+4)
A- O 2x² - 4
B- O zx²+4
C- 2x?+7x-4
D- O 2x² - 7x-4
Answer:
C. 2x² + 7x - 4
Step-by-step explanation:
Given:
(2x-1)(x+4)
= 2x * (x+4) + (-1) * (x+4) ⇒ Distributive property.
= 2x² + 8x - x - 4 ⇒ Combine like terms.
= 2x² + 7x - 4
The answer is option C. 2x² + 7x - 4
What is the value of b 3.2 = 4/5 ( b - 5 )
The value of b in the equation [tex]\( 3.2 = \frac{4}{5}(b - 5) \)[/tex] is 9.
To solve for b in the equation [tex]\(3.2 = \frac{4}{5}(b - 5)\)[/tex], we'll first distribute [tex]\(\frac{4}{5}\)[/tex] across b - 5:
[tex]\[3.2 = \frac{4}{5}b - \frac{4}{5} \times 5\]\[3.2 = \frac{4}{5}b - 4\][/tex]
Next, let's isolate the term containing b by adding 4 to both sides:
[tex]\[3.2 + 4 = \frac{4}{5}b\]\[7.2 = \frac{4}{5}b\][/tex]
Now, to solve for b, we'll multiply both sides by [tex]\(\frac{5}{4}\)[/tex] to isolate b:
[tex]\[b = 7.2 \times \frac{5}{4}\]\[b = 9\][/tex]
So, the value of b is 9.
Evaluate the expression 24/b+8 when b=9
To evaluate the expression 24/b+8 for b=9, substitute 9 for b to get 24/9 + 8, which simplifies to approximately 10.67.
Explanation:To evaluate the expression 24/b+8 when b=9, we substitute the value of b into the expression and perform the arithmetic operation.
First, we replace b with 9:
24/9 + 8
Then, we divide 24 by 9:
2.666... + 8
Next, we add 8 to the quotient:
2.666... + 8 = 10.666...
The result of evaluating the expression 24/b+8 for b=9 is approximately 10.67.
I don't understand what this means.
Rewrite the polynomial function (in standard form), classify by its degree, and then determine the end behavior of its graph.
y=2x+3x^3+10
a)Standard form:____
b)Classification:____
c)End Behavior:____
Answer:
a) -3x^3 - 2x + y - 10 = 0
b) it a trinomial
c) not sure. sorry. :(
hope this helps.:)
14pqr+35pqr factorise
Answer:
14pqr+35pqr = pqr×(14+35)
pls help 10 points!!!
Answer:
3rd one
Step-by-step explanation:
What is the equivalent of 20/100
PLZZZ HELP DUE BY MIDNIGHT
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76points.
Write an equation to determine the total number of questions (q) on Tim's math test.
Find the total number of questions on his math test.
Answer: (i) 4x - 40 = 76
(ii) 29 questions
Step-by-step explanation:
Let the total number of questions be x.
Since he received 4 points for every correct answer and he got 10 answers wrong , this means he lost 40 points , the equation thus become
4x - 40 = 76
To find the value of x , add 40 to both sides
4x = 116
divide through by 4
x = 29
Therefore , there are 29 questions on his math test