a) Numbers greater than -8 but less than -2 are represented by the double inequality [tex]\(-8 < x < -2\).[/tex]
b) Numbers less than 0 but greater than -5 are represented by the double inequality [tex]\(-5 < x < 0\).[/tex]
c) Numbers greater than -3 but less than 3 are represented by the double inequality [tex]\(-3 < x < 3\).[/tex]
To describe each set of numbers using double inequalities, we'll define the range of numbers that satisfy each condition.
a) For numbers greater than -8 but less than -2:
[tex]\[ -8 < x < -2 \][/tex]
This double inequality represents all numbers that are greater than -8 on the number line and less than -2, but not including -2 itself.
b) For numbers less than 0 but greater than -5:
[tex]\[ -5 < x < 0 \][/tex]
This double inequality represents all numbers that are less than 0 on the number line and greater than -5, but not including 0 itself.
c) For numbers greater than -3 but less than 3:
[tex]\[ -3 < x < 3 \][/tex]
This double inequality represents all numbers that are greater than -3 on the number line and less than 3, but not including 3 itself.
In summary:
a) Numbers greater than -8 but less than -2 are represented by the double inequality [tex]\(-8 < x < -2\).[/tex]
b) Numbers less than 0 but greater than -5 are represented by the double inequality [tex]\(-5 < x < 0\).[/tex]
c) Numbers greater than -3 but less than 3 are represented by the double inequality [tex]\(-3 < x < 3\).[/tex]
c/9 - 8 = 17
Solve the equation and show all work please show steps!!
What is the area of a circle with a radius of 7?
Jason ate one third of a pizza for dinner, and his brother ate one sixth of the same pizza.What portion of the pizza was left over?
Jason and his brother ate a total of one half of the pizza when their portions, one third and one sixth respectively, are combined. Therefore, one half of the pizza was left over.
To calculate this, we add the fractions of the pizza that were consumed together:
Jason's portion: 1/3
Brother's portion: 1/6
We find a common denominator, which is 6 in this case, and sum the fractions:
(2/6) + (1/6) = 3/6
After simplifying 3/6, which is one half, we subtract this from the whole pizza to find the portion that is left:
1 - 1/2 = 1/2
Therefore, one half of the pizza was left over after Jason and his brother had their portions.
Find the missing number(?) so that the equation has no solutions. ?x+3=3(-x+7)
Which graph shows a proportional relationship?
A graph that shows a proportional relationship include the following; A. graph A.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable.x represents the x-variable.k is the constant of proportionality.In conclusion, the characteristics for a graph that shows a proportional relationship include the following:
A straight line can be drawn through its points.
The straight line connecting the points passes through the origin.
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Can someone please help
A recipe for fruit punch uses 3 cups of apple juice for every 2 cups of grape juice. The table and graph show how many cups of each to use for different batch sizes. How many cups of grape juice do you need to make a batch that contains 12 cups of apple juice?
are the expressions 3(y+1) and 3y+3 equivalent for any value of y? explain.
7 yd 2 ft = How many feet ?
If the ratio of men to women is 3:2 and there are 120 men, how many women would there be?
what is the value of 4 in 546210
a 15-ft ladder is leaning against one wall of an alley 9 ft wide. the ladder slips, its top sliding down the wall, its foot sliding across the alley and striking the opposite wall at a speed of 4 ft/sec. How fast is the top of the ladder falling at that instance?
The equation - 5x² + 72x + 378 models the number of students enrolled in a school where x is the number of years since the school first opened in 1990. Which statement is true? A - Enrollment exceeded 650 students at one point B Enrollment never exceeded 650 students C The highest enrollment of any year was exactly 650 students D There were two years where 650 students were enrolled
Which expression represents the prime factorization of 84?
What is 555.555 rounded to the nearest hundredth?
If a quadrilateral has sides that measure 4 in. and angles that all measure 90°, we can consider the quadrilateral to be a/an
Someone plz help me with These questions :u have to solve for x and show work
4/9x+1/5x=87
-3.8x-5.9x=223.1
x+0.15x=3.45
-3/5x-7/10x+1/2x=-56
What are the amounts of interest and maturity value of a loan for 150,000 at 6 1/2% simple interest for 3 years?
The formula for computing the amount of simple interest is:
I = Prt
Where P = principal amount of the loan
r = interest rate of the loan
t = duration of the loan
Substituting the amounts in the formula,
I = (150,000) (6.5%) (3)
= 29,250
To compute for the maturity value, you have to add the interest to the principal amount:
Maturity value = 150,000 + 29,250 = 179,250
To calculate the amount of interest and maturity value of a loan, use the formula: Interest = Principal × Rate × Time. In this case, the interest is $29,250 and the maturity value is $179,250.
Explanation:To calculate the amount of interest and maturity value of a loan, we can use the formula:
Interest = Principal × Rate × Time
Maturity Value = Principal + Interest
In this case, the principal is $150,000, the rate is 6.5% (0.065 in decimal form), and the time is 3 years.
Step 1: Calculate the interest
Interest = $150,000 × 0.065 × 3 = $29,250
Step 2: Calculate the maturity value
Maturity Value = $150,000 + $29,250 = $179,250
Therefore, the amount of interest is $29,250 and the maturity value of the loan is $179,250.
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Player Points
Travis 6
Marcus 7
James 17
Taylor 2
Hector 1
Julio 22
Jonah 8
Chris 11
Scott 14
The chart shows the number of points different players scored during a game. What is the ratio of Julio's points to Jonah's points?
A) 1 : 2
B) 2 : 1
C) 4 : 11
D) 11 : 4
Figure ABCD is a parallelogram.
What is the value of x?
Which formula can be used to describe the sequence? , −4, −24, −144,...
Answer:
[tex]An= -4(6)^{n-1}[/tex]
Step-by-step explanation:
−4, −24, −144,...
There is no common difference
-24/-4= 6
-144/ -24= 6
common ratio = 6
when there is a common ratio then it is an Geometric sequence
[tex]An= a1(r)^{n-1}[/tex]
a1 is the first term = -4
r is the common ratio = 6
Formula becomes
[tex]An= -4(6)^{n-1}[/tex]
The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the larger can
Howard planted a tree in his front yard six months, one week, and two days ago. If today is August 13th, what day did Howard plant the tree in his yard?
A. February 4
B. February 13
C. February 20
D. February 22
Answer: February 4
Step-by-step explanation:
List all the angles which are congruent to angle A!! ( a pair of parallel lines is cut by a transversal as shown in the figure)
Answer: A, C, E, & G
Step-by-step explanation:
Bryce has two small buckets each containing numbered tiles. The tiles in bucket A are the odd numbers from 1 to 31, one tile per number. The tiles in bucket B are the even numbers from 2 to 32, one tile per number. Bryce draws one tile from bucket A. On the number line below "Bucket A," select the point that represents the probability of drawing a tile that is a prime number from bucket A. He then draws one tile from bucket B. On the number line below "Bucket B," select the point that represents the probability of drawing a tile that is evenly divisible by 6 from bucket B.
total number of prime numbers in bucket A = 10( 3 5 7 11 13 17 19 23 29 31)
Probability = favorable outcomes/ total outcomes = 10/31
total number of numbers evenly divisible by 6 in bucket B = 5(6 12 18 24 30)
probability = 5/31
can you tell me the solution to -3 (p + 1) equal to -18
Hey! I am stuck on this, it's for class. I've been struggling with this for quite some time. So, if you have the chance. Click the picture and tell me if it's true or false using that table thingy. Now, you don't need do explain if you don't want to. But, I just need the answer, and yeah. Just tell me if it's true or false. Thanks!! :-)
what is 3.87 rounded to the nearest tenth
factory A has printed 700 books and Prints 50 new books every week. Factory has printed 300 books and prints 100 books every week. How many weeks will it be before a factory B has printed as many books as Factory A?
Carrie is buying bulk candy for a high school fundraiser. She buys 1000 candy bars for $350. What is the unit cost per candy bar?
A) $.30
B) $.35
C) $.45
D) $1.35