Match the inequality to the graph of its solution.
a. n/4 ≤ -1
b. -10 ≥ -100
c. 5x ≥ 20
Answers
Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.
That in the real number line is all the numbers to the left of - 4 (including -4)
The matching graph is the B.
b. -10n ≥ -100
Divide both sides by - 10 => n ≤ 10
That is all the real numbers less or equal than 10.
In the real number line it is all the numbers to the left of 10, including 10.
So, the matching graph is the A.
c. 5x ≥ 20
Divide both sides by 5 => x ≥ 4
That is all the real numbers greater or equal to 4.
In the real number line it is all the numbers to the right of 4, including 4.
The matching graph is C.
Related Questions
Write the standard number for eighteen and forty-three thousandths
Answers
The standard number for 'eighteen and forty-three thousandths' is written as 18.043. We express the 'forty-three thousandths' part as .043 and combine it with the whole number 18.
Explanation:The standard number for "eighteen and forty-three thousandths" is written in the decimal format. The whole number, in this case, is 18 and the decimal part is .043 when we express the words 'forty-three thousandths'. Combined together, the number is written as 18.043.
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the probability of picking a red marble from a bag of 30 marbles is 1/5. how many blue marbles must be removed from the bag to increase the probability to 1/4
Answers
To increase the probability from 1/5 to 1/4, we need to remove 24 blue marbles from the bag.
Explanation:To increase the probability from 1/5 to 1/4, we need to find the number of blue marbles that need to be removed. Let's assume there are x blue marbles in the bag. Initially, the total number of marbles in the bag is 30, and the probability of picking a red marble is 1/5. This means that (30 - x)/30 = 1/5. Solving this equation, we get x = 24. Therefore, 24 blue marbles need to be removed from the bag to increase the probability to 1/4.
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Because the initial probability of picking a red marble from 30 marbles is 1/5, there are 6 red marbles in the bag. If we want to increase the probability of drawing a red marble to be 1/4, we need to reduce the total number of marbles in the bag to 24. So, we must remove 6 non-red marbles, which could be blue.
Explanation:The subject of your question is probability in Mathematics. Initially, we have 30 marbles, and the probability of picking a red one is 1/5. So, there are 1/5 * 30 = 6 red marbles in the bag. Thus, the bag also contains 24 non-red marbles, which can be blue or other colors.
Next, we want the probability of picking a red marble to be 1/4. Since the number of red marbles will remain the same, we need to change the total number of marbles in the bag. If 'x' is the number of marbles in the bag, then 6/x = 1/4, which means x = 24. Since initially we had 30, to get to 24 we need to remove 6 marbles.
Therefore, if we remove 6 blue marbles (or any non-red marbles), the probability of picking a red marble will increase to 1/4.
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An internet bookseller charges $6 per paperback book plus a $3 shipping and handling fee per order. If Mr. Montoya spent $111 on books for his class, how many books did he buy?
Answers
So he bought 12 books
Hayley begins solving this problem by combining like terms. 3x + 5x = 10 Which problem requires the same strategy (combining like terms)? A) 5x=20 B) 3(x + 5) = 20 C) x ÷ 4= 30 D) 3x - 2x = 10
Answers
Answer:
D) 3x - 2x = 10
Explanation:
To combine like terms, you add or subtract terms that have the same variables and exponents. In the problem we are given, 3x and 5x are like terms; we would add them together and then continue solving.
In choice A, there are no like terms to combine.
In choice B, we would use the distributive property; after that, there are no like terms to combine.
In choice C, we would cancel the 4; there are no like terms to combine.
Choice D has two like terms, 3x and 2x. We would subtract them and then continue solving.
soppose 8 out of every 20 students are absent from school less than 5days a year.predict how many students would be absent from school less than five days a year out of 40,000 students
Answers
Hope this helps :)
Please mark my answer as the brainiest if you feel I've given you the best help :)
I don’t understand how to do this, someone please help :)
Solve for y
Answers
y = -2 + 10
-2 + 10 = 8
y = 8
5/8 times 1/2 in fraction form
Answers
5/8 times 1/2 in fraction form is 5/16.
Here it is needed to find the product or the multiplication of the fractions 5/8 and 1/2.
Whenever a number is taken times to another number, the operation is multiplication.
Here the numbers are fractions.
For fractions, multiplication is in such a way that when two fractions are multiplied, multiply the numerators and the denominators separately and write it as such.
5/8 × 1/2 = (5 × 1) / (8 × 2)
= 5/16
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can you graph the equation?
Answers
y = (1/2)*x
y = (1/2)*0 ... x has been replaced with 0
y = 0
So the point (0,0) is on the graph of the equation.
Now plug in x = 2 and follow the same steps as above
y = (1/2)*x
y = (1/2)*2 ... replace x with 2
y = 1
So x = 2 leads to y = 1 giving us the point (2,1)
Plot the points (0,0) and (2,1). Then draw a straight line through these two points to draw the graph of the equation.
See attached for a visual.
Side Note: 1/2 = 0.5 so y = (1/2)x is the same as y = 0.5x
Write 100,000 as a power of 10. A) 103 B) 104 C) 105 D) 106
Answers
It is not A
B)[tex]10^4[/tex] = 10 * 10 * 10 * 10 = 10,000
It is not B
C)[tex]10^5[/tex] = 10 * 10 * 10 * 10 * 10 = 100,000
It could be C
D)[tex]10^6[/tex] = 10 * 10 * 10 * 10 * 10 * 10 = 1,000,000
It is not D
Your answer is C)[tex]10^5[/tex]
Hope I helped!
The number 100,000 is written power of 10 as [tex]10^5[/tex]. Therefore, option C is the correct answer.
The given number is 100,000.
We need to write 100,000 as a power of 10.
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Now, 100,000 can be written as [tex]10^5[/tex].
The number 100,000 is written power of 10 as [tex]10^5[/tex]. Therefore, option C is the correct answer.
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3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items? (a) Write an equation. Let x represent the cost of one of Tanya's items. (b) Solve the equation. Show your work. (c) Check your solution. Show your work. (d) State the solution in complete sentences. Answer:
Answers
3x = 4(x-2.25)
3x = 4x-9
add 9 to both sides
3x+9 =4x
subtract 3 x from each side
x=9
Tonya's items were $9 each
Tony's items were 9-2.25 = 6.75 each
check:
9*3=27
4 *6.75 = 27
5._4 - (_.8_) = -3.61
fill in the blanks please !!
Answers
Answer:
[tex]5.24-8.85=-3.61[/tex]
Step-by-step explanation:
We have been given an equation. We are asked to fill in the blanks for the given equation.
5._4 - (_.8_) = -3.61
We will find each part separately as:
For hundredths digit:
[tex]4-?=-1[/tex]
[tex]4-4-?=-1-4[/tex]
[tex]-?=-5[/tex]
[tex]?=5[/tex]
So hundredths digit would be 5.
Tenth digit:
[tex]?-8=-6[/tex]
[tex]?-8+8=-6+8[/tex]
[tex]?=2[/tex]
Ones digit:
[tex]5-?=-3[/tex]
[tex]5-5-?=-3-5[/tex]
[tex]-?=-8[/tex]
[tex]?=8[/tex]
Substitute the values in given equation.
5.24 - (8.85) = -3.61
We can verify our answer by subtracting 8.85 from 5.24.
[tex]5.24-8.85=-3.61[/tex]
Therefore, our equation would be [tex]5.24-8.85=-3.61[/tex].
The rabbit population in a certain area is 500% of last year's population. There are 300 rabbits this year. How many were there last year? There were rabbits last year.
Answers
500% - 5.00
300 / 5 = 60
there were 60 rabbits last year
1. BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?
2. BASEBALL CARDS Justin bought 40 packs of baseball cards for a discounted
price of $64. If he sells 10 packs of baseball cards to a friend at cost,
how much should he charge?
3. SOUP A recipe that yields 12 cups of soup calls for 28 ounces of beef
broth. How many ounces of beef broth do you need to make 18 cups of
the soup?
4. ANIMALS At a dog shelter, a 24-pound bag of dog food will feed 36 dogs
a day. How many dogs would you expect to feed with a 16-pound bag
of dog food?
5. AUTOMOBILES Mr. Fink’s economy car can travel 420 miles on a 12-gallon
tank of gas. Determine how many miles he can travel on 8 gallons.
Answers
Answer:
Step-by-step explanation:
Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long.
Answers
But since you are trying to find one of the legs than you would do it backwards. Since c is the hypotenuse, than youd do 10^2(which equals 100) subtracted by 8^2(which equals 64). This should give you 46. Than you would find the square root of 64 and that is your answer.
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Answers
William put 0.83 liter of water into a bucket. Matt put 0.98 liter of water into another bucket. When they combined their water into a bigger bucket 10% of the water spilled out. The water they collected had a weight of 1.021 kilograms per liter of water. The expression show below represents the weight, in kilograms, of the water in the bigger bucket. [0.9(0.83 + 0.98)] x 1.021 Rounded to the nearest thousandth, what is the weight, in kilograms, of the water in the bigger bucket?
1.663
1.748
1.763
1.848
Answers
A newborn baby gained 9/16 of a pound in 1/4 of a month. What was the baby's growth rate in pounds per month?
Answers
9/16 1
------- = -------
1/4 x
You cross multiply
9/16x = 1(1/4)
And solve for x, which gets you to two and a fourth.
What is x? 3x+4y=70 and 8x-3y=9
Answers
What can be answered with science?
Questions that are non-testable
Questions about things that can be measured
Questions that ask about an opinion
Questions that ask about a moral value
Answers
What is the quotient for -20/-2?
Answers
a butcher has 10 3/4 pounds of ground beef that will be process at $3.40 per pound. he divides the meat into 8 equal packages. to the nearest cent, what will be the price of each package? explain how you know that your answer is reasonable
Answers
Which is the best example of a number written in scienific notations?
A) .5 x 10^5
B) .1254
C) 5.367 x 10^-3
D) 12.5 x 10^2
Answers
If 60 equals twice a number added to itself, find the number.
Answers
Explain if you can. I'm really confused!
Answers
the foundation of a house sinking 5 inches positing or negative
Answers
In a number line, going down is negative
your answer is -5 inch
hope this helps
what is the value of 412.321 if the underlined diget is 1 on the part .321?
Answers
At the rate of $7.22 how much will Whitney eat in 40 hours
Answers
h = 7.22(40)
You finish.
I need help to calculate (The three at the end is to the third power!)
(−1)3
Thank you!!!!!!
Answers
( - 1 ) 27
- 27 is the answer
-1 x -1 x -1
1 x -1
-1
So, (-1)^3 = -1
What numbers is divisible by 492,570
Answers
If you mean the factors, then let me know.
What is the value of t?
t−12/2=3t/2−3
A. –3
B. –1
C. 1
D. 3
Answers
Answer: -3
Step-by-step explanation:
(t-12)/2=(3t)/2-3
t-6=1.5t-3
t=3-6
t=-3
Hope this helps
We have that for the Question "What is the value of t?
t-12/2=3t/2 -3" it can be said that the value of t is
[tex]t=-3[/tex]
Option A
From the question we are told
What is the value of t?
t-12/2=3t/2-3
A. –3
B. –1
C. 1
D. 3
Generally the equation for the statement is mathematically given as
[tex]\frac{t-12}{2}=\frac{3t}{2}-3\\\\ Therefore\\\\\frac{t-12}{2}=\frac{3t}{2}-3\\\\Multiply through by the denominator which is 2\\\\ t-12=3t-6 \\\\ collecting like terms \\\\ t-3t= -6 +12 \\\\ therefore \\\\ t=-3 [/tex]
Therefore
the value of t is
[tex]t=-3[/tex]
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