Answer:
a.[tex]-7 < x < 7[/tex]
b.[tex]-12 < x < 6[/tex]
c. Two answers are: y < -3 or y > 19
d. Two answers are x ≤ -17/3 or x ≥ 19/3
e. -4 ≤ y ≤ 5/2
Step-by-step explanation:
Given the following questions:
Question one:
[tex]|x| < 7[/tex]
x is less than 7
[tex]=-7 < x < 7[/tex]
Question two:
[tex]|x+3| < 9[/tex]
[tex]x+3 > -9[/tex]
[tex]3-3=0[/tex]
[tex]-9+-3=-12[/tex]
[tex]x > -12[/tex]
[tex]x+3 < 9[/tex]
[tex]3-3=0[/tex]
[tex]9-3=6[/tex]
[tex]x < 6[/tex]
x is greater than -12, while less than 6
[tex]-12 < x < 6[/tex]
Question three:
[tex]|y-8| > 11[/tex]
[tex]y-8 < -11[/tex]
[tex]-8+8=0[/tex]
[tex]-11+8=-3[/tex]
[tex]y < -3[/tex]
[tex]y-8 > 11[/tex]
[tex]-8+8=0[/tex]
[tex]11+8=19[/tex]
[tex]y > 19[/tex]
Two answers are: y < -3 or y > 19
Question four:
|3x - 1| ≥ 18
3x - 1 ≤ -18
-1 + 1 = 0
-18 + 1 = -17
3x ≤ -17
x ≤ -17/3
3x - 1 ≥ 18
-1 + 1 = 0
18 + 1 = 19
3x ≥ 19
x ≥ 19/3
Two answers are: x ≤ -17/3 or x ≥ 19/3
Question five:
|4y + 3| ≤ 13
|4y + 3| ≤ 13 = -13 ≤ 4y + 3 ≤ 13
-13 ≤ 4y + 3 ≤ 13
4y + 3 ≥ -13
3 - 3 = 0
-13 + - 3 = -16
4y ≥ -16
4 ÷ - 16 = -4
y ≥ -4
4y + 3 ≤ 13
3 + -3 = 0
13 - 3 = 10
4y ≤ 10 = 10/4 ÷ 2 = 5/2
y ≤ 5/2
-4 ≤ y ≤ 5/2
Hope this helps.
Between what two consecutive integers is 31.5
31 < 31,5 < 32
31,5 is between 31 and 32
Answer:
It's between 5 and 6.
Step-by-step explanation:
I took the test and got it right. The explanation they give is that the number lies between the square roots of two perfect squares, 25, and 36, so it is between 5 and 6.
1970 Dodge challanger rt
Answer:
215 in³
Step-by-step explanation:
This is just for math problems.
The 1970 Dodge Challenger could have engines ranging from 225 cubic inches to 440 cubic inches.
What is the difference in displacement between the smallest and largest engines?
Now it's a math problem.
440 - 225 = 215
Answer: 215 in³
This is my question for homework. "You and some friends took a metal detector to the beach every day for a week to search for coins. You managed to find 246 nickels, 312 dimes, and 204 quarters. When you divided them up, you realized that each person got the same exact amount of each coin with no coins remaining. How many are in your group? How many nickels did each person receive? How many dimes did each person receive? How many quarters did each person receive? " Thanks, Brainly your the best!!
Answer:
The data is:
Number of nickels = 246
Number of dimes = 312
Number of quarters = 204.
Now, in your group there are N people.
Dividing the coins into N people, you find that each one received the same amount of each type of coin. Then the quotient between each number of coins and N must be a whole number.
Now, you can see that the 3 numbers are even, so we know that N must be even.
For example, if N = 2, we could divide the 3 numbers of coins and get an integer in each case, but this is worded as "You and some friends" so N must be larger than 2.
Try with the next even integer:
N = 4.
nickels: 246/4 = 61.5
61.5 is not an integer: Then N can not be 4.
The next even number is N = 6.
nickels: 246/6 = 41
dimes: 312/6 = 52
quarters: 204/6 = 34
In each case we have integers, this means that 6 divides the 3 numbers of coins, so each person can receive the same amount of coins.
The we can conclude with:
There are 6 persons in the group.
Each person gets 41 nickels, 52 dimes and 34 quarters.
2 MULTIPLE CHOICES! 75 POINTS!!! EASY!!
Match the graph with the correct equation
----------------------------------
2. A. Y = X - 3
B. Y = X + 3
-------------------------------
3. A. Y = 3X + 1
B . Y = 1X + 3
-------------------------------
4. A. Y= -3X - 3
B. Y= 3X - 3
------------------------------------------------------------------------------------------------------------------------------
Please try you're best to earn the points, do NOT guess.
Thanks!
There is only 2,3,4 meaning i already did 1. please DO answer them
Thanks again!
Answer:
Step-by-step explanation:
20 and 21 will give BRAINLIEST
Answer:
20 is 12 1/2
21 is 11 1/5
Step-by-step explanation:
67% of students in 7th grade claim to brush their teeth twice a day. If there are
124 students in 7th grade How many brush their teeth twice a day?
Which expression is equivalent to 2(3g – 4) - (8g + 3)?
A 29 -1
B.-29 +5
C. 29 - 7
D. -29 - 11
Answer:
The Answer is D
Step-by-step explanation:
A bag has 1 orange marble, 4 blue marbles, 3 yellow marbles, and 1
black marble. You randomly pull a marble from the bag, put it back,
and then pull out another one.
What is the probability of getting a blue and then a blue? Write your
answer as a fraction.
Answer:
4/9
Step-by-step explanation:
you know how many marbles there are in the bag so you add the number which is 9 so this shkws it will be something out of 9 since that is the total so now there are 4 blue marbles so you will just have to 4/9 I think thats how I would go on doing it.
Which relation is a function?
Answer:
D
Step-by-step explanation:
In order to figure out which of the 4 is a function, you must perform the vertical line test for each. No vertical line should intersect the graph of the relation at more than one point. D is the only one that doesnt hit two points when performing the vertical line test.
Since there are unique outputs for every point of x-axis so it represents a fucntion. Hence option D is correct.
Use the concept of fucntion is defined as:
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Since we know that in a fucntion,
For each element of the domain, there is only one output.
Therefore,
For Figure A:
There are two outputs for each value of the positive x-axis.
This is not a function.
For Figure B:
There are outputs for x = 3,
Hence this is also not a fucntion.
For Figure C:
For a circle, there are always two puts,
Hence, This is also not a fucntion.
Figure D:
W can see that for each value of x-axis, there is a unique output,
Hence this is a function. So option D is correct.
To learn more about the function visit:
https://brainly.com/question/8892191
#SPJ6
What is the mode?
7, 6, 7, 7, 5, 3, 6, 5
TYPE ONLY THE NUMERIC ANSWER
Answer:
7
Step-by-step explanation:
5, 5, 6, 7, 7, 7
7 appears the most
Answer:
The mode is 7
Step-by-step explanation:
Add all of these numbers and divide it by 8 to get 7
Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x 14 to model the relationship. What does 14 mean?.
If the ambient temperature is 0 then the damage index would be 14. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and the damage index depends on the ambient temperature.
He develops the equation y = –23x + 14 to model the relationship.
where y be the damage index and x be the temperature.
At zero temperature, the damage index will be
y = –23 (0) + 14
y = 14
The damage index is 14.
More about the linear system link is given below.
https://brainly.com/question/20379472
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t=1500d . How long will it take the airplane to travel 800 miles? Use decimal notation.
Answer:
1.2 × 10^6 hours
Step-by-step explanation:
Given the following :
equation relating the distance traveled in miles, d, to the number of hours flying, t ;
t=1500d
How long will it take the airplane to travel 800 miles
Here, d = 800 miles
Hence,
t = 1500(800) = 1,200,000 hours
t = 1.2 × 10^6 hours
Vic's favorite cookie recipe uses 250 grams of flour for every 170 grams of butter. Imani made cookies using 750 grams of flour for every 630 grams of butter. What will Vic think of the amount of butter in Imani's cookies?
Vic's cookies having a ratio of flour to butter of 250/170 contains less
butter than Imani's cookies, 750/630, what Vic will think is therefore;
(A) Imani's cookies have too much butter
Which method can be used to evaluate the cookies?
The quantity of flour per 170 grams of butter in Vic's cookies = 250 grams
The amount of flour Imani uses for every 630 grams of butter = 750 grams
Required:
What Vic will think about the amount of butter in Imani's cookies
Solution;
[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Vic's \ cookies = \dfrac{170 \, g}{250 \, g} = \dfrac{17}{25} = \mathbf{0.68}[/tex]
[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Imani's\ cookies = \dfrac{630\, g}{750\, g} = \dfrac{17}{25} = \mathbf{0.84}[/tex]
Imani's cookies contains more cookies than Vic's cookies, what Vic will
think of the amount of butter in Imani's cookies is therefore;
(A) Imani's cookies have too much butter
Learn more about fractions here:
https://brainly.com/question/24378782
Answer:
Step-by-step explanation:
the answer is A ^^
What is 13.035 rounded to the nearest hundredth
Answer:13.04
Step-by-step explanation:
Please Helpppppppppppppp!!!!
Answer:
(x - 36) is the measure of the angle A
Step-by-step explanation:
(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 5 liters per minute. The solution is mixed well and drained at 5 liters per minute. a. Let x be the amount of salt, in grams, in the fish tank after t minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dt, in terms of the amount of salt in the solution x and the unknown concentration of incoming brine c. dx grams/minute b. Find a formula for the amount of salt, in grams, after t minutes have elapsed. Your answer should be in terms of c and t. x(t)= grams c. In 10 minutes there are 25 grams of salt in the fish tank. What is the concentration of salt in the incoming brine? C = g/L
Answer:
a. [tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]
b. [tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]
c. [tex]c = \dfrac{3}{8} \ g/L[/tex]
Step-by-step explanation:
a. The volume of water initially in the fish tank = 15 liters
The volume of brine added per minute = 5 liters per minute
The rate at which the mixture is drained = 5 liters per minute
The amount of salt in the fish tank after t minutes = x
Where the volume of water with x grams of salt = 15 liters
dx = (5·c - 5·c/3)×dt = 20/3·c = [tex]6\frac{2}{3} \cdot c \cdot dt[/tex]
[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]
b. The amount of salt, x after t minutes is given by the relation
[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]
[tex]dx = 6\frac{2}{3} \cdot c \cdot dt[/tex]
[tex]x(t) = \int\limits \, dx = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt[/tex]
[tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]
c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;
[tex]x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10[/tex]
[tex]6\frac{2}{3} \times c =\dfrac{25 \ grams }{10}[/tex]
[tex]c =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} } = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200} \ g/L = \dfrac{3}{8} \ g/L[/tex]
[tex]c = \dfrac{3}{8} \ g/L[/tex]
Pleaseeee help asappppppp
Answer:
ED = 12
HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME .
If 4 snow cones cost $14, how much do 3 snow cones cost?
$10.50
14÷4= 3.5 so, 3.5 x 3 = 10.50
helppppppppppppppppppppp
Faith started last week with $1,100 in her checking account. During the week, she wrote the checks below.
On the 15th, Faith received a paycheck for $583.67. She recorded all of these transactions in her checking
Account Number: 1234-1212
Checks date check no. amount
9/5 241 $67.25
9/20 242 $36.80
9/30 243 $15.00
Other Activity date transaction amount
9/30 Deposit $650.45
9/30 Fees $15.00
Balances Opening Balance $900.00
Closing Balance $1,416.40
A.
His check to the barber shop was not cashed before the end of the month.
B.
He added up his transactions incorrectly.
C.
He mislabeled a payment as a deposit.
D.
He had bank fees that were not in his check register.
Any help would be appreciated thanks!!
Answer:
B.
He added up his transactions incorrectly.
??? help please i need to get this done
Step-by-step explanation:
Take the average of the two points that are on each side of the shapes.
--> to find the circle's number, 1+0/2 = 0.5
triangle = 3+2/2 = 2.5
star = 4+3/2 = 3.5
What is the sum of the following equation? two tenths plus forty one-hundredths equals blank 50 points
forty-three hundredths
sixty one-hundredths
thirty-nine hundredths
eighty-two hundredths links=report
Answer: Expanded Notation to Numeric Form with Decim. Convert each problem to numeric notation. Ex) 4x 10+9+(2*70) +(6x/100). Answers. 49.26. 1) 7 * 100+ 2 ...
Step-by-step explanation:
A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the cam contain ?
Answer:
1.5 pints.
Step-by-step explanation:
Solution,
Given,
1 cup = 8 oz.
2 cup = 1 pint.
So,
24 oz = 1 cup / 8 = 3 cup.
Then,
We have,
3 cup = 1 pint / 2 cups = 1.5 pints.
Write an equivalent expression for (3x + 1) (x +2)
distributive property
Which relation is also a function?
A {( 5, 8), (5, 9), (8, 9), (10, 8)}
B {( 5, 8), (7, 9), (8, 9), (10, 8)}
C {( 5, 8), (7, 9), (7, 5), (10, 8)}
The perimeter of the rectangle ABCD is 30 cm. Three other rectangles are placed so that their centres are at the points A, B, D. The sum of their perimeters is 20 cm. What is the total length of the thick line?
Answer:
Step-by-step explanation:
The perimeter of ABCD is 30cm
The Sum of the perimeter of three rectangles at the corner is 20cm.
following the variables as the same as you assigned
large rectangle: u by v
rectangle center A: 2a by 2b
rectangle center B: 2c by 2d
rectangle center D: 2e by 2f
2 equations (from the givens):
2u+2v=30
2(a + b + c + d + e + f )= 20
now to find the length
a+b+a/2+b/2+(v-b/2-d/2)+c/2+d+c+d/2+(u-c/2)+(v-f/2)+e/2+f+e+f/2+(u-e/2-a/2)
which is (a+b+c+d+e+f)+u+v+u+v = 10+30=40
I need help!!
I have only 5 mins
Answer:
it is 11 i believe if not sry delete my answer
Step-by-step explanation:
Best answer gets brainliest!!!
1. In the following pictograph, how many symbols would you use to represent 21 books?
a.7
b.3.5
c.126
d.63
Answer:
B
Step-by-step explanation:
Since 3 symbols represent 18 books, half of the symbol is 3. 18+3=21
Which choices are equivalent to the expression below? Check all that apply. 3√6 A. √27•√2 B. √18 C. 54 D. √54 E. √27•√4 F. √9•√6
Answer:
A, D and F
Step-by-step explanation:
3√6 = √3^2*6
3√6 = √54
Applicable answers
A. √54 = √27*2 = √27 * √2
D. 3√6 = √54
F. √54 = √9*6 = √9 * √6
what is the y-inercept of the graph of f
y-intercept is where the line on your graph crosses through the y-axis