An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.
Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.
Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.
Hence, the integer that represents a loss of 750 points is -750.
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Mrs. Welch and her 5 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available (there are no two the same). In how many ways can the selections be made?
Yolanda participated in a walkathon in which each kilometer walked raised $10 for
charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50
on Saturday.
a. Write and solve an inequality to determine the distances, in kilometers, that Yolanda
could have walked on Sunday to reach her goal.
b. Sketch a graph of your solution from part (a).
Step-by-step explanation:
a. 10d + 50 ≥ 300 ; d = distance in km
10d ≥ 300-50
10d ≥ 250
d ≥ 25
b. on the photo (attached)
Please please help :((((
Answer:
y = x-4
Step-by-step explanation:
The y intercept is -4
We have 2 points so we can find the slope
( 0,-4) and(4,0)
m = ( y2-y1)/(x2-x1)
= ( 0- -4)/ (4-0)
= 4/4
=1
The slope intercept form is
y = mx+b
y = 1x-4
y = x-4
3 consecutive numbers have a sum of 120. Write an equation to
determine what numbers these are, and find them.
please help me asap thank u
solve for x. topic: pythagorean theorem
Answer: 44.59 or 44.6
Step-by-step explanation:
30^2+33^2= 900+ 1089
= 1989^2
square root = 44.6
hope this helps
What the meaning of statement this?
The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.
The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.
In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.
The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.
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Estimate 4,302 + 5,289
Answer:
9,590. The real answer is 9,591.
Step-by-step explanation:
To do an estimated addition, you need to add up the thousands and hundreds which would be the answer, since an estimate is just a guess. The rounded answer is 9,590.
Hope that helps. x
9590
What is estimate addition?Adding and subtracting whole numbers by estimation. To estimate is to arrive at a result that is very close to the real thing. Utilizing estimation only in situations that do not necessitate an exact response is crucial. Estimation means arriving at a solution that makes sense and addresses the issue, but is not always exact.
Given 4302 + 5289
= 9591
for estimate 9,591 is near to 9,590
Hence estimate addition of digits is 9,590.
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Li’s brother used the work shown to determine that he must grow at most 6 inches to be able to ride the roller coaster.
48 less-than-or-equal-to h + 42. 48 minus 42 less-than-or-equal-to h + 42 minus 42. 6 less-than-or-equal-to h.
Is this correct? Explain.
Answer:
It is correct
Step-by-step explanation:
Given
\(Height = 42\ in\) ---- Missing information
\(Minimum\ Height = 48\ in\)
Represent the additional height (i.e. 6 inches) with h
Required
Is \(48 \le h + 42\) correct
The term at most mean less than or equal to \(\le\)
So, for him to grow at most 6 inches; it means that 48 inches must be less than or equal to the sum of his current height and additional height needed.
Mathematically:
\(48 \le 42 + 6\)
Substitute h for 6
\(48 \le 42 + h\)
Hence, the expression is correct.
Answer:
sample response
Step-by-step explanation:
No, the work is correct, but the interpretation is not. “6 is less than or equal to h” means that h is greater than or equal to 6. He must grow at least 6 inches, not at most 6 inches.
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
This is about scatter plots and association i just need number 1
The form of association that would be found in the variables would be:
Positive association No association Negative association How to find the association ?As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.
The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.
As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.
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Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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Angie Adkins paid $95 for a used refrigerator, $115 fora used dining set and $240 for a used living room set. What was the total cost of the items?
Answer: 450
Step-by-step explanation: 95+115+240=450
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."
The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
3
x
+
2
−
3
a
−
2
−
4
−
1
b
0
2
1
c
2
d
a
=
b
=
c
=
d
=
9. Estimation
Doug is reading two
books. The first book is 122 pages.
The second book is 189 pages.
Rounded to the nearest ten, about
how many pages will Doug read?
Answer:
310
Step-by-step explanation:
189+122=311
(311 rounded to the nearest ten is 310.)
6 + 4|2x + 6| = 14
Solve for x
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
An encyclopedia is 8 inches long, 11 inches tall and 4 inches wide. What is the volume of a set of encyclopedias that has eight books?
Answer:
8 in*11 in*4 in*8 encyclopedias= 2,816 in3
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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a weather balloon is released and reaches a maximum altitude of 5000 meters.A week later, the balloon is recovered at 3750 metwrs. What was the change in altitude between the maximum height and the height at which the balloon was recovered
The change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters
How to determine the changeIt is important to note that the maximum height is the peak altitude the balloon reached
To find the difference, we use the formula
Change = Maximum height - recovery height
Maximum height = 5000 meters
Recovery height = 3700 meters
Substitute the values
Change = 5000 - 3700
Change = 1300 meters
Thus, the change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters
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pls solve...I will mark as BRAINLIST
Answer:
Here you go with your answer
Mark me as brainlist may your parents live long life
Decompose 5/15 and 8/12
Answer:
:)
Step-by-step explanation:
5/15 divided by 5 is equal to 1/3 and
8/12 divided by 2 is 4/6 divided by 2 is 2/3
You have to divide the numerator with the same number that you divide the denominator with.
Question explains itself in the picture.
Answer:
30 cm
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 12
c = 5
Work:
A = 0.5bh
A = 0.5(12)(5)
A = 6(5)
A = 30
Help! 100 points and brainliest
Answer:
H = 145
E =35
...................................
Answer:
See below.
Step-by-step explanation:
180-35=145
The measure of angle H is 145 degrees.
The measure of angle E is 35 degrees.
-hope it helps
How many roots do the functions have in common f(x)=x^2+x-6
To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.
For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:
x^2 + x - 6 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:
(x + 3)(x - 2) = 0
Setting each factor equal to zero:
x + 3 = 0 or x - 2 = 0
Solving for x in each equation:
x = -3 or x = 2
Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.
To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.
Find the distance between the points (2, 3) and (2.8).
Answer:
d = 5
Step-by-step explanation:
For:
(X1, Y1) = (2, 3)
(X2, Y2) = (2, 8)
Distance Equation Solution:
d=(2−2)2+(8−3)2−−−−−−−−−−−−−−−√
d=(0)2+(5)2−−−−−−−−−√
d=0+25−−−−−√
d=2–√5
d=5
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm
long. How many centimeters long was the actual tank?
cm
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.
To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.
Let's denote the length of the actual tank as "x".
According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.
So, we can set up the following proportion:
1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)
Cross-multiplying and solving for x, we get:
x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm
The actual tank is 1620 cm long.
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which of the following is most likely the next step in the series
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
Suppose you want to buy a $160,000 home. You found a bank that offers a 30-year loan at 3.3% APR.
What will be your monthly payment? (Round to the nearest cent.)
$
How much would you end up paying the bank for the home after 30 years? (Round to the nearest cent.)
$
Suppose you wanted to reduce the time of your loan to 25 years. What would be your new monthly payment? (Round to the nearest cent.)
$
How much would you end up paying the bank for the home after 25 years? (Round to the nearest cent.)
$
How much did you save by reducing the time of your mortgage loan? (Round to the nearest cent.)
$
The required solution with the concern of mortgage has been shown below.
$695.67, $250,441.20, $783.93, $235179, and $15262.2.
Using the formula for the monthly payment of a mortgage:
\(P = L[c(1 + c)^n]/[(1 + c)^n - 1]\)
Here P is the monthly payment, L is the loan amount, c is the monthly interest rate, and n is the total number of payments (in this case, 30 years = 360 months).
Plugging in the values given:
L = 160000
c = 0.033/12 (monthly interest rate)
n = 360
P = 695.67
So the monthly payment is $695.67.
To find out how much will be paid in total over 30 years, we can multiply the monthly payment by the total number of payments:
Total payments = P * n = $695.67 * 360 = $250,441.20
So the total amount paid to the bank for the home over 30 years is $250,441.20.
To calculate the new monthly payment for a 25-year loan, we can use the same formula but with n = 25*12 = 300 months:
P = 160000[(0.033/12)(1 + (0.033/12))^300]/[(1 + (0.033/12))^300 - 1]
P = $783.93
So the new monthly payment for a 25-year loan is $783.93.
The total amount paid over 25 years would be:
Total payments = P * n = $783.93 * 300 = $235179
So the total amount paid to the bank for the home over 25 years is $235179.
The amount saved by reducing the time of the mortgage loan is the difference between the total amount paid for the 30-year loan and the total amount paid for the 25-year loan:
Savings = $250,441.20 - $235179 = $15262.2
So the amount saved by reducing the time of the mortgage loan is $15262.2.
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