Answer:
[tex]-b\leq a\leq b[/tex]
Step-by-step explanation:
When we have absolute value inequalities, there are specific way to find the solution sets.
If [tex]|a| < b[/tex] then [tex]-b<a<b[/tex]
If [tex]|a| >b[/tex] then [tex]a>b[/tex] or [tex]a<-b[/tex]
These definitions apply for the inequlity signs that involve equivalence.
If [tex]|a| \leq b[/tex] then [tex]-b\leq a\leq b[/tex]
If [tex]|a| \geq b[/tex] then [tex]a\geq b[/tex] or [tex]a\leq -b[/tex]
Therefore, the expression that completes the statement is
[tex]-b\leq a\leq b[/tex]
You want to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, you can pay $20 per month, plus a $60 signing fee. With the second membership plan, you can pay $40 per month plus no signing fee. At what number of months will both plans cost the same amount?
Answer:
after 3 months, both plans cost the same amount
Step-by-step explanation:
Let x is the number of monthsLet y is the total costGiven the following information:
Plan 1: pay $20 per month, plus a $60 signing fee
=> the equation for this plan is:
y1 = 20x+60
Plan 2: pay $40 per month plus no signing fee
=> the equation for this plan is:
y2 = 40x
To find number of months will both plans cost the same amount, we need to set the equation of plan 1 = equation of plan 2
<=> y1 = y2
<=> 20x+60 = 40x
<=> 20x = 60
<=> x = 3
So after 3 months, both plans cost the same amount
what solution is y=x+6 and 3x-3y=18
Answer:
0
Step-by-step explanation:
Substituting y into equation 2...
3x - 3(x + 6) = 18
3x -3x -18 = 18
3x - 3x = 18 - 18
0 = 0
Find the midpoint of the segment with endpoints (-3,4) and (7,10)
Answer:
(2,7)
Step-by-step explanation:
To find the midpoint, you need to plug the 2 points in to the midpoint formula.
[tex]( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]. You are basically adding the x values and divided the sum by 2 and doing the same for the y values. To find the x value of the midpoint, you add -3 and 7 which gets you 4, then you divide by 2 which is 2. To find the y value of the midpoint you, you add 4 and 10 which gets you 14, then you divide by 2 which gets you 7. So your mid point is (2,7).
Margie is planning a dinner banquet. The equation
C=750+42g models the relation between the cost in dollars,
C, of the banquet and the number of guests,
g. Interpret the slope of the equation.
Answer:
The slope, 42, means that for each additional guest the cost of the banquet increases by 42 dollars.
Step-by-step explanation:
The slope of the equation given stands for the rate at which the cost is increasing for each additional guest at the banquet, in this case, $42 per guest.
Explanation:In the equation C=750+42g, the slope is represented by the number 42. In the context of this problem, it is the cost per guest for the banquet. Meaning, for each additional guest (g), the total cost (C) of the banquet increases by $42. Therefore, the slope 42 signifies the rate at which the total cost of the banquet will increase per additional guest.
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please help me out! I’ll give brainliest ! :)
Answer:
90 men working for a company
Q. Which equation best represents the relationship between x and y in
the graph?
Answer:
y = -2x + 4
Step-by-step explanation:
(0, 4) represents your y-intercept.
By rounding to 1 significant figure,estimate
6.4x7.35
Answer:
its 42!! found it on hegarty lol
Step-by-step explanation:
Please answer I rlly need this☺️☺️
Answer:
I will answer two of them so you can get the understanding here
Substitute the number into the equation
10. t/7 = 1 , when t = 7
Replace t in the equation with 7
7/7 = 1
The equation makes sense, t=7 is a solution
13. 84 = 7y , when y = 12
Replace y in the equation with 12
84 = 7 * 12
84 = 84
The equation makes sense, y=12 is a solution
You are picking out an outfit. Which of the following options shows a closet with 36 different possible combinations of outfits? Select all that apply. A) 9 shirts, 2 jeans, 2 hats B) 6 shirts, 3 jeans, 2 hats C) 4 shirts, 3 jeans, 3 jackets D) 12 shirts, 2 shorts, 2 hats E) 6 shirts, 6 jeans, 2 hats
Answer:
The answer would be A, B, and C.
Step-by-step explanation:
You multiply all of the numbers, and they should sum up to your answer.
Final answer:
The options that show a closet with 36 different possible combinations of outfits are Option A (9 shirts, 2 jeans, 2 hats) and Option B (6 shirts, 3 jeans, 2 hats), as both of these options result in exactly 36 combinations when multiplied together.
Explanation:
You are looking for the combination of clothes in the closet that yields exactly 36 different possible outfit combinations. To calculate the number of combinations we can use the principle of multiplication. We multiply the number of choices for each piece of clothing to get the total number of combinations.
Option A: 9 shirts × 2 jeans × 2 hats = 36 combinations
Option B: 6 shirts × 3 jeans × 2 hats = 36 combinations
Option C: 4 shirts × 3 jeans × 3 jackets = 36 combinations (Incorrect, as this results in 36, not 36)
Option D: 12 shirts × 2 shorts × 2 hats = 48 combinations (Incorrect, as this results in 48, not 36)
Option E: 6 shirts × 6 jeans × 2 hats = 72 combinations (Incorrect, as this results in 72, not 36)
Therefore, the correct options that show a closet with 36 different possible combinations of outfits are Option A: 9 shirts, 2 jeans, 2 hats and Option B: 6 shirts, 3 jeans, 2 hats.
Add 49 to the quotient of 125 and 5
Answer is:
125/5+49
=74
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods.
Option 1: He will ask every fifth person on each English class roster.
Option 2: He will attend a walkathon to ask teen participants about the ways they volunteer.
Which statement about the methods is true?
Answer
option 2
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
just did the test aye
50 POINTS! :D
One car traveled 120 miles and drove 10 mph hour faster than a second car drove 100 miles. If the cars were travelling for the same time, how fast was the first car travelling?
90 mph
50 mph
60 mph
80 mph
The speed of the first car is 60mph.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
One car traveled 120 miles and drove 10 mph hour faster than a second car drove 100 miles.
Let n be the speed of the first car.
And the n + 10 be the speed of second car.
And t be the time take by both of the cars.
According to the question,
120 / n = 100 / n+10
Using cross multiplication,
20n = 1200
n = 1200 / 20
n = 60
Therefore, the value of n is 60mph.
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What is the surface area of the right rectangular prism? Enter your answer in the box. 6ft 4ft 3ft
Answer:
The surface area will be 108 ft
Step-by-step explanation:
If the length is 6ft, the width is 4ft and the height 3ft = The surface area will be 108 ft
4/3 x −4 = 5 + x Help me please!
A) 0.5
B) 2
C) 18
D) 27
Answer:
The answer is D.
Step-by-step explanation:
4/3 x - 4 = 5 + x
4/3 x = 9 +x
1/3 x = 9
x = 27
Amelia needs to buy some cat food at the nearest store two bags of cat food cost $5.50 how much would Amelia spend on six bags of cat food
Answer: $16.50
Step-by-step explanation:
Answer:
$16.50
Step-by-step explanation:
2 bags of cat food is $5.50 so you times that by three and get six bags for $16.50
How to determine whether a number is prime or composite number without using calculator fast?
Answer:
To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number
Last year, Jane opened an investment account with 5500 . At the end of the year, the amount in the account had increased by 7.8%. How much is this increase in dollars? How much money was in her account at the end of last year? Increase in amount: Year-end amount:
Answer:
429 increase
5929 end of year
Step-by-step explanation:
simply do 5500 times 1.078 to get 5929 as ur total subtract 5500 to tet your increase of 429
The answer is 429.also the amount is 439
You get a 27% discount on a sweater that is $18 sales tax is 8.4% how much is it after text total cost
Answer:
27/100×18=4.86
8.4/100×18=1.512
total is 6.372
The dot plot shows h r. Ruda's class scored on a 5-point math quiz. Mr. Ruda described the data as having a spread from
0 to 5, a center of 3, two clusters, and a peak at 5. Where did Mr. Ruda make an error?
Scores on the Math Quiz
The spread is from 0 to 8.
The center is at 2
There is only one cluster.
The booklet
om
BV
PHILIPS
Answer:
B. The center is at 2
Step-by-step explanation:
The length of a field, 1.2 km long is represented on a map by a line 40mm long. What is the scale of the map
Final answer:
The scale of the map is 1:30,000.
Explanation:
The scale of a map represents the relationship between the distance on the map and the corresponding distance on the Earth's surface. To find the scale of the map, we need to determine the ratio between the length of the field on the map and its actual length. In this case, the length of the field is 1.2 km, which is represented on the map by a line that is 40 mm long.
To calculate the scale, we can use the formula:
Scale = Actual length on the ground / Length on the map
Substituting the values, we get:
Scale = 1.2 km / 40 mm
First, we need to convert the length on the map to the same unit as the actual length. Since 1 km = 1,000,000 mm, we can convert mm to km by multiplying by 1/1,000,000:
Length on the map in km = 40 mm × (1 km / 1,000,000 mm) = 0.00004 km
Now we can calculate the scale:
Scale = 1.2 km / 0.00004 km = 30,000
Therefore, the scale of the map is 1:30,000.
A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 15 in. long. How many cubic inches of packing foam are needed to fill the rest of the box? Round to the nearest tenth.
Answer:
2926.32 cubic inches
Step-by-step explanation:
Given the information:
A basketball with a diameter of 9.5 in=> its radius is: 9.5/2 = 4.75 in
As we know, the formula used to find the volume of the sphere is:
V =π [tex]\frac{4}{3} r^{3}[/tex]
=> the volume of the basketball is:
V = π [tex]\frac{4}{3} 4.75^{3}[/tex]
= 448.69 cubic inches
A cubic box with sides 15 inAs we know, the formula used to find the volume of a cube is:
V = [tex]a^{3}[/tex]
=> the volume of the box:
V = [tex]15^{3}[/tex] = 3375 cubic inches
Hence, The volume of foam there is needed to complete the box is the subtraction between the two volumes above:
= the volume of the box - the volume of the basketball
= 3375 - 448.69
= 2926.32 cubic inches
2x-7=13 what is answer
Answer:
x = 10
Step-by-step explanation:
2x-7=13
2x = 20 (Add 7 to both sides)
x = 10 (Divide by 2 on both sides)
Answer:
10
Step-by-step explanation:
2x - 7 = 13
2x = 13+7 = 20
x = 20/2 = 10
What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction StartFraction 5 Over y minus 5 EndFraction StartFraction 5 (y + 2) Over (y minus 2) (y + 5) EndFraction StartFraction 5 Over y + 5 EndFraction StartFraction 5 (y minus 2) Over (y minus 5) (y + 2) EndFraction
Answer:
the answer is 5/y+5
Step-by-step explanation:
Answer:
its c on edge
Step-by-step explanation:
i know
A
Put these numbers into standard form
1. 6 000
2.400
3. 80 000
4. 9000
5. 400 000
6. 4000
7. 450
8. 55 000
9. 350
10.750 000
Answer:
Step-by-step explanation:
1) 6*10³
2) 4*10²
3) 8*10⁴
4)9000 = 9*10³
5) 400,000 = 4 *10⁵
6)4000 = 4*10³
7) 450 = 4.5 * 10²
8) 55 000 = 5.5*10⁴
9) 350 = 3.5*10²
10) 750 000 = 7.5*10⁵
In the right triangle shown, m∠A=30°m, AB = 12\sqrt{3}AB=12
How long is AC?
The correct length of AC is 18
Which transformation is a rigid transformation?
2 right triangles have identical angle measures but different side lengths. Triangle 2 has longer sides.
2 right triangles have different angles and side lengths.
2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first.
Answer:
C on edge
Step-by-step explanation:
just did it
The transformation that is a rigid transformation is: "2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first." The correct option is C).
A rigid transformation preserves the shape and size of an object without altering its angles or lengths. Among the provided scenarios, the transformation where "2 right triangles have identical side lengths and angle measures, and the second triangle is a reflection of the first" is a rigid transformation.
In this case, the triangles maintain their original angles and side lengths while being flipped across a line of reflection. Rigid transformations include translations, rotations, and reflections, all of which maintain the geometric properties of the original shape.
The other scenarios involve changes in angles, side lengths, or both, which would not classify as rigid transformations due to alterations in shape or size. The correct answer is C).
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--The given question is incomplete, the complete question is given below
"Which transformation is a rigid transformation?
A, 2 right triangles have identical angle measures but different side lengths. Triangle 2 has longer sides.
B, 2 right triangles have different angles and side lengths.
C, 2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first. "--
A restaurant has 4 appetizers, 5 entrees and 2 desserts. How many different meal combinations could you order?
Step-by-step explanation:
1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things
2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!
3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!
Hiii I need help in this Plzzz helppp
Round these numbers to the nearest hundredth.
1)1.43
2)1.25
3)0.38
To round to the nearest hundredth, look at the third value to the right of the decimal point.
For instance, if there is a value 7.829, it would be rounded to 7.83, because 9 rounds up to 10. If the value was instead 7.821, it would be rounded to 7.82, because 1 rounds to 0.
However, the values listed are already rounded to the nearest hundredth, so no more work is required.
Answer:
No rounded needed.
Step-by-step explanation:
Find the distance between -6 and 8. What is an expression that represents the distance? Complete the expression.
Answer:
14
Step-by-step explanation:
Using the absolute value function the distance is calculated as
| - 6 - 8 | = | - 14 | = 14
or
| 8 - (- 6) | = | 8 + 6 | = | 14 | = 14
Answer:
-6 - 8
Step-by-step explanation:
30 POINTS!!!!!!!!! PLEASE HELP!!!!!!!!!
George has opened a new store and he is monitoring its success closely.
He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.
He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.
What does (r−c)(4) mean about George's new store?
The new store will have a profit of $2300 after its fourth month in business.
The new store will sell 4500 items in its fourth month in business.
The new store will have a profit of $4500 after its fourth month in business.
The new store will sell 2300 items in its fourth month in business.
Answer:
It will be 4500
Step-by-step explanation:
Just substitute 4 for x in both equations and you will get:
r(4) = $5,000 store's revenues in 4 months
c(4) = $500 store's expenses in 4 months.
So, (r - c) = $5,000 - $500 =$4,500 store's profit after 4 months in business.
Hopes this works out!