-3, -2,-1, 0, 1, 2, 3, are called_______
Answers
Answer: Integers
Step-by-step explanation: To help introduce the set
of integers, let's use the number line shown below.
Notice that on a number line, 0 is in the middle, all numbers to the
left of 0 are negative, and all numbers to the right of 0 are positive.
The set of integers includes the set of whole numbers, {0, 1, 2, 3, ...},
which appear at 0 and to the right of 0 on the number line.
The set of integers also includes {-1, -2, -3, ...} which
appear to the left of 0 on the number line.
So the ste of integers can be written as {...-3, -2, -1, 0, 1, 2, 3...}.
Answer:
Integers
Step-by-step explanation:
a positive (+) or negative (-) number with no fractional parts. zero (0) Is also an integer
Examples: -3, 3
Related Questions
what is the absolute value of x-8
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That completely depends on what ' x ' is.
what are the sides of the isosceles triangle
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4. Solve: 2(5x-2) = 6*
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Answer:
x =1Step-by-step explanation:
[tex]2(5x-2) = 6\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(5x-2\right)}{2}=\frac{6}{2}\\\\Simplify\\5x-2=3\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\5x-2+2=3+2\\\\Simplify\\5x=5\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{5}{5}\\\\Simplify\\x =1[/tex]
the expression as an inequality for the statement above is:
Answers
Answer: S > =85000
Reason: its says "atleast"
slice 4z - 4.4 = 3.6
A. z=0.3
B z= -0.3
C. z= -2
D. z= 2
HELPPP
Answers
Answer:
D. z = 2
Step-by-step explanation:
4z - 4.4 = 3.6 also means 4z = 3.6 + 4.4 which is 4z = 8
4 times 2 = 8
For proof do 4 times 2 minus 4.4 = 3.6
Solve for x. (Round to the nearest thousandth.)
3x - 8 = 15
Answers
Answer:x = 7.667
Step-by-step explanation:
3x - 8 = 15
+ 8 = 23
3x = 23
divide 3 by 3 and 23 so you get x by itself
answer = 7.667
Answer:
x = 7.667
Step-by-step explanation:
3x - 8 = 15 (Rearrange expression)
-8 - 15 = -3x (Combine like terms)
-23 = -3x (Divide)
x = 7.667
if a number is negative, then its reciprocal will be;
Answers
the reciprocal will be negative
Answer:
The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.
The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. ... Notice that when you multiply negative fractions with their reciprocals, the product is always 1 (NOT -1).
Please help! will give brainliest!!
Answers
Answer:
c
Step-by-step explanation:
tHE ANSWER IS C
What are the coordinates of the point that divides the segment into a 3:2 ratio?
Answers
Answer:
(–2.2, –1.2)
Step-by-step explanation:
o divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:
Δy=║-4-3║=7
Δx=║-1-(-4)║=3
Then we divide those differences by 5.
7/5=1.4
3/5=0.6
and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).
Px=-4+3*0.6=-2.2
Py=3-3*1.4=-1.2
so the coordinates of the point we are looking for (which I called "P") are:
P(-2.2, -1.2).
Given f (x) = 3x - 8 find x if f(x) = -14
Answers
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=3x-8[/tex]
And we want to solve for x if f(x) is -14.
So, substitute -14 for f(x):
[tex]-14=3x-8[/tex]
Add 8 to both sides:
[tex]-6=3x[/tex]
Divide both sides by 3:
[tex]x=-2[/tex]
And we're done!
Answer:
The value of x is -2 .
Step-by-step explanation:
You have to solve it by doing comparison :
[tex]f(x) = 3x - 8[/tex]
[tex]f(x) = - 14[/tex]
[tex]3x - 8 = - 14[/tex]
[tex]3x = - 14 + 8[/tex]
[tex]3x = - 6[/tex]
[tex]x = - 6 \div 3[/tex]
[tex]x = - 2[/tex]
Several families are in line to enter a water park. The first family pays $54 for two adult tickets and two child tickets. The second family pays $105 for 3 adults and 5 children. What are the ticket prices for children?
Answers
Answer:
adult tickets 15
child tickets 12
Step-by-step explanation:
2x + 2y = 54 L1
3x + 5y = 105 L2
3L1 - 2L2
6x + 6y = 162
-6x - 10y = -210
-4y = -48
y = -48/-4
y = 12
2x + 2y = 54
2x +2(12) = 54
2x + 24 = 54
2x = 54 - 24
2x = 30
x = 15
Need help ASAP
How many cups of water are needed to make 2 servings of soup?
8 cups of water = 10 servings
Answers
Answer:
1.6 cups
Step-by-step explanation:
2 servings is 1/5 of 10 servings, so the amount of water needed is 1/5 of 8 cups.
(1/5)(8 cups) = 8/5 cups = 1.6 cups
1.6 cups of water are needed for 2 servings.
Give the equation of a line that goes through the point ( − 24 , 2 ) and is perpendicular to the line 8 x + 3 y = − 6 . Give your answer in slope intercept form
Answers
Answer:
[tex]y=\frac{3}{8}x+11[/tex]
Step-by-step explanation:
To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.
We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.
We can find the slope of that line by putting it in slope-intercept form:
8x + 3y = -6
Subtract 8x from both sides.
3y = -6 - 8x
Divide both sides by 3.
[tex]y=-\frac{6}{3}-\frac{8}{3}x[/tex]
[tex]y=-\frac{8}{3}x-2[/tex]
So the slope of that line would be -8/3.
The negative reciprocal of -8/3 would be 3/8.
Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:
[tex]y-2=\frac{3}{8}(x+24)[/tex]
Now lets change this into slope-intercept form. Add 2 to both sides.
[tex]y=\frac{3}{8}(x+24) +2[/tex]
Distribute the 3/8.
[tex]y=\frac{3}{8}x+9+2[/tex]
Simplify.
[tex]y=\frac{3}{8}x+11[/tex]
And now we have our equation in slope-intercept form.
I hope you find this helpful.
Amanda wants to pay the same amount each month on her car loan. The number of the payment various inversely with the monthly payment amount. If each monthly payment is $175, she makes 48 payments. how much would her monthly payment be if she wanted to pay off the loan in 30 Months?
Answers
Answer:
$280
Step-by-step explanation:
175 x 48 = 8400
8400 / 30 = 280
Need help with this, thank you
Answers
Answer:
65
Step-by-step explanation:
40 + 75 = 115
180 - 115 = 65
Answer:
x=65
Explaination
x+75+40=180
or,x+ 115=180
or, x=180-115
or x= 65
mylar balloons cost $1.25 each, and latex balloons cost $0.75 each. What equations can be used to find the number of each type of balloon in a bunch of 18 balloons that cost $19?
Answers
Answer:
Mylar Ballons: 11
Latex Balloons: 7
Step-by-step explanation:
1.25 times 11 equals 13.75
.75 times 7 equals 5.25
5.25+ 13.75 equals 19
11 + 7 equals 18.
Hope this helps you :)
A coupon subtracts $17.95 from the price p of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Write and solve an equation to find the original price of
the headphones.
Answers
Answer:
$89.75
Step-by-step explanation:
p = original price of headphones
$71.80 = p - $17.95 Add $17.95 to both sides
$89.75 = p
Original price is $89.75
Suppose we get 24 inches of snow tomorrow. Warm weather comes the next day. For the next several days it stays warm and begins to melt the snow. If the snow melts at 2.5 inches a day, how much snow will be left on the ground after 7 days?
Answers
Answer:
6.5 inches
Step-by-step explanation:
Suppose we get 24 inches of snow tomorrow
The next day becomes warm.
The weather remains warm for the next several days.
The snow melts at 2.5 inches a day
Therefore the amount of snow that will be left after 7 days can be calculated as follows
= 2.5 ×7
= 17.5
Since the initial amount of snow was 24 inches then,
24 -17.5
= 6.5
Hence the amount of snow that will be left on the ground after 7 days is 6.5 inches
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes? 6 cups of flour 7 cups of flour 8 cups of flour 9 cups of flour
Answers
7 cups of flour
reason:
to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6
(I may be wrong this is just how I did it)
Answer:
The answer would be b. 7 cups of flour.
Step-by-step explanation:
I took the test.
Explain how you found the equation that represents Aunt
Andrea's decorating plans from the table.
Help please how do I explain how I found something when I just knew the answer right away?
Answers
Answer:
The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.
Step-by-step explanation:
I did it and that is what it gave me
please help me i know my shapes but i dont know if this is a square well i know what a square is but i just want to make sure 12.5 point BRAINLYEST.
Answers
Answer:
Right now its a parallelogram
Step-by-step explanation:
If you want to make it a square then just move the dots
im pretty sure thats right, if not sorry
Is 17.5 a rational or irrational?
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It’s bath time while filling the tub dad used the last capful of bubble bath.after doing quick search for more to buy he notices that he can get 36oz for $3.79 or 24 oz for $2.89. Which of these options is the better deal ?
Answers
If you divide the price by the number of ounces, you will get how much you are paying for a single ounce.
[tex]\frac{3.79}{36}[/tex] ≈ 0.11 dollars per ounce
[tex]\frac{2.89}{24}[/tex] ≈ 0.12 dollars per ounce
As you can see, you are paying about 0.01 dollars more for every ounce of bubble bath in the second option. So you are better off buying 36 ounces for 3.79 dollars.
You can also do this buy dividing ounces by dollars.
[tex]\frac{36}{3.79}[/tex] ≈ 9.5 ounces per dollar
[tex]\frac{24}{2.89}[/tex] ≈ 8.3 ounces per dollar
Again, you can see that you get about 1 more ounce for every dollar you pay in the first option. So 36 ounces for 3.79 dollars is the way to go.
−4 + 2 and −4 + (−2) on a number line.
Answers
Answer:
Step-by-step explanation:
-4 + 2 = -2
-4 + (-2) = -6
What are the domain and range of this function ? Help plz
Answers
Answer:
Hey there!
The domain, or possible x values are (-4, -1, 2, 9).
The range, or possible y values are (-3, 0, 6)
Let me know if this helps :)
Answer:
Domain: { -4, -1, 2,9}
Range: {-3, 0, 6}
Step-by-step explanation:
Domain is the x-values and range are the y-values. You can write it out in an x, y table to be able to see it better. Like shown below,
x y
-1 6
2 0
9 -3
-4 6
If you need further explanation let me know, but I hope this helps!
Have a great day!
Penelope is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Penelope's test score (out of 40) if she got 3 questions wrong? What would be her score if she got x x questions wrong
Answers
Answer:
see below
Step-by-step explanation:
She got 3 questions wrong
3*5 = 15
She missed 15 points
40-15 = 25
She got 25 points right
25/40 =.625 =62.5%
If she got x questions wrong
5x is the points missed
40 -5x is the points correct
(40-5x)/40 = score
Answer:
25pts
Step-by-step explanation:
Write an equation to show that Y is directly proportional to x using the constant of proportionality given. Then solve for the unknown value.
k = 3/11 and x = 9
Answers
Answer:
y = 2[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
y ∝ kx
y = [tex]\frac{3}{11}[/tex] × 9 = [tex]2\frac{5}{11}[/tex]
consider the scatterplot. which data set does the scatter plot represent? a.(7, 8), (2, 12), (8, 5), (8, 4), (9, 5), (4, 14), (5, 9), (6, 7), (2, 15) b.(1, 15), (7, 8), (2, 12), (8, 5), (3, 8), (9, 4), (4, 14), (5, 9), (6, 7) c.(15, 1), (8, 7), (12, 2), (5, 8), (8, 3), (4, 9), (14, 4), (9, 5), (7, 6) d.(1, 2), (15, 12), (3, 4), (8, 14), (5, 6), (9, 7), (7, 8), (8, 5), (9, 4)
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Two cities are 243 miles apart
It takes a train 4 hours to travel between the two cities at a constant speed.
A car travels between the two cities at a constant speed of 65 miles per hour.
Which is traveling faster, the car or the train? Explain your reasoning.
Answers
Answer:
The car is travelling faster.
Step-by-step explanation:
Given that,
Distance between two cities = 243 miles
Time of train = 4 hours
Speed of car = 65 miles/hours
We need to calculate the speed of train
Using formula of speed
[tex]v=\dfrac{d}{t}[/tex]
Where, d = distance
t = time
Put the value into the formula
[tex]v=\dfrac{243}{4}[/tex]
[tex]v=60.75\ miles/ hours[/tex]
Hence, The car is travelling faster.
What is the image of (-7,-1) after a dilation by a scale factor of 4 centered at the origin
Answers
Answer: (-28,-4)
Step-by-step explanation:
Multiply the x and y coordinate values by the scale factor to find the image.
-7 * 4 = -28
-1 * 4 = -4
(-28,-4)