Answer:
x ≥ -11
Step-by-step explanation:
Distribution of the terms
5(x - 3) - 6(x - 2) ≤ 85x - 15 - 6x + 12 ≤ 8Combine like terms
5x - 15 - 6x + 12 ≤ 8-x - 3 ≤ 8
Add 3 on each side.
-x - 3 + 3 ≤ 8 + 3-x ≤ 11Divide by -1 (change sign)
-x/-1 ≤ 11/-1x ≥ -11Turtles can live a long time. This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
A box turtle and a map turtle escape from the reptile house of the Kalamazoo Zoo. The box turtle is older than the map turtle. The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape.
What is the age of the escaped box turtle?
Answer:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
The average age is 22 yrs
The sum of the ages is 440 yrs
When two of the turtles leave, the average is 21 yrs....and there are 18 turtles left
So....the sum of the ages is 21 * 18 = 378
And the difference in the sums is 62
The only two values that sum to 62 are 26 and 36
So.....the box turtle must have been 36 and the map turtle must have been 26
Step-by-step explanation:
The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:
(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26
The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.
To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.
Let's represent the age of the box turtle X. We can set up the equation:
(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25
We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475
Then we can add X to both sides to get:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X
This simplifies to:
X = 36
Therefore, the age of the escaped box turtle is 36 years.
To learn more about the stem-and-leaf diagram click here:
https://brainly.com/question/8450114
#SPJ2
BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
1/2 = 3/6
1/3 = 2/6
6 is the lowest common denominator as you can see
__________________________________________________
Next, let's add these new fractions together
2/6 + 3/6 = 5/6
5/6 cannot be simplified so the final answer is 5/6
Hope this helped!!
Pls help me no links givving brainliest
What is the scale factor of ABC to A'B'C'?
It would make my day if you helped!!
Answer:
A'B' = B'C' = A'C' = 8 = 1/2
AB BC AC 4
Hence the scale factor is 1/2
ill give brainly and 30 points 10 mins before i take the quotation down
Answer:
6.56ft
Step-by-step explanation:
The volume of a cube can be calculated if you know its side length. The formula is then volumecube = side3. This is simply the length of the side multiplied by itself two times.
Please help ASAP Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
if you remove one red marble from the bag and add one blue marble , what fraction of the marbles are blue?
Answer:
This depends on how many blue and red marbles there are in total.
Answer:
D) 2/3
Step-by-step explanation:
If you remove 1 red marble then there is 1 marbles left red.
If you add a blue marble then there is 4 blue marbles.
So it is 4/6 and when you simply it is 2/3.
ill give brainly
Dylan's garden is 9 feet long.
How long is the garden in inches?
(1 foot = 12 inches)
9 in.
21 in.
101 in.
108 in.
Answer108in
Step-by-step explanation:9x12=108
After grading the most recent chapter test, a science teacher asks twelve of his 10th grade summer school students how long they studied for the test. Their answers, as well as their corresponding test grades, were recorded on a table and placed on the scatter plot below.
According to the actual data represented in the scatter plot, the student who spent zero hours studying for the test actually earned a corresponding grade of ___ on the test.
A. 3.75
B. 25
C. 52.5
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answer: $37.8
Step-by-step explanation: To find the cost of the supplies we multiply $54 by .3 (the decimal version of 30%). The total is 16.2 . If we subtract this from the total amount we find the cost of the cleaning service. 54-16.2 = 37.8
50 points. please just help
Answer: count how many yes and then count all of them then put the yes over the nos
Step-by-step explanation:
( brainliest ) Susan is buying 5 and a half pies from the market. Write this amount as a mixed number, improper fraction, decimal and percent.
The amount of pies in mixed numbers is 5*1/2 and in the improper fraction is 11/2 and in decimal is 5.5 and in percentage is 5.5%
Given: Susan buys 5 and a half pies from the market.
To find the value of the pies in the following ways:
Mixed fractionImproper fractionDecimalPercentThe mixed fraction is represented as a whole number and also as a fraction. It is the mixture of a whole number and a fraction. The simple way to find out the mixed fraction is, first multiply the value in the denominator by the value of the whole number in the mixed fraction. Later add the obtained number. Here is the problem the mixed fraction can be written as 5*1/2.
The improper fraction is identified when the numerator is greater than the denominator. From the given question the value of pies in the improper fraction is given by 11/2. Here 11 is greater than 2.
Next, the decimal number is represented by a whole number that is separated from the decimal point of the fractional part. In question 5 and a half is represented as 5.5, where 5 is a whole number with a decimal point and the fractional part is 0.5.
The value of the percent is obtained by dividing the total value and multiplying it by 100. So from the question, we get 5*1/2*100 is equal to 250 or 5.5%.
To learn more about decimals, fractions, and percentages follow the link below:
https://brainly.com/question/12715980?referrer=searchResults
Answer correctly pls and thanks ^^
John runs 7 miles in 67 minutes. How many miles does he run per minute?
A cylinder shaped soap dispenser has a diameter of 4 in. and has a height of 7 in.
What is the approximate volume of the soap dispenser? Use 3.14 for π.
You may use your formula sheet and a calculator.
Question 3 options:
351.68 in³
87.92 in³
175.84 in³
95.18 in³
Answer:
87.92 in^3
Step-by-step explanation:
Formula for finding the volume of a cylinder:
V=Bh
B= area of the base
h= height
Diameter=4 radius=2 The radius is half of the diameter
The base of a cylinder is a circle, so you would find the area of the circle and multiply it by the height of the cylinder.
V= (3.14*2^2)7
V= (3.14*4)7
V= 12.56(7)
V= 87.92 in^3
Answer:
The answer to this question should be b. 87.92 in^3 because the formula to find the volume of a cylinder is V=TTr^2h. and remember that the radius is half of the diameter so back to the question.
We multiplied 3.14 times 4 because remember that the radius is half of the diameter and we get 2 but remember the exponent so we need to multiplied to the second power 2 times 2 and we get 4 so when we multiplied 3.14 times 4 we get 12.56 and when we multiplied 12.56 times the height which is 7 we get 87.92 so check the choices and see if there is an answer and yes there is so b which is 87.92in^3 is hopefully the correct answer.
Step-by-step explanation:
Help, please. been struggling on this one for a while.
Answer:
38 yds squared
Step-by-step explanation:
area is L x W
break figure down into two separate figures
see attached picture for detailed math
28 points + brainly its 12:41 im taking the question down at 12:46
so hurry pls
Answer:
(2,6). (4,12). (5,15). (7,21)
Step-by-step explanation:
As the x axis has time, all the points on the time column are across.
As the y axis has distance, all the points on the column are up.
Co-ord 1:
(2,6)
Co-ord 2:
(4,12)
Co-ord 3:
(5,15)
Co-ord 4:
(7,21)
PLEASE HELPP ASAP Gavin has two bags of titles. The number and colors of the titles are shown in the table. If Gavin randomly draws one tile from each bag what is the probability that he will select two black tiles?
Answer:
the answer is 7/27 cause you find the total number of tiles and total number of black tile then put it in the ratio of :
total no of black tiles/ total tiles
Answer:
The answer is 7/27
Step-by-step explanation:
For this you will be using What you want over the total of what you have. Sum all the things which gives you: 27 in total.
You want only the black ones, so add 3+4 and you get 7
What you want is the black (7) over the total amount you have (27)
so your answer is 7/27
Help me with this question please
DUE TODAY!
Answer: write a triangle and a quad.
no.
Step-by-step explanation:
Evaluate the following expressions for the stated values:
m=(.5), r=2.4, f= -2
m-r+3f+(m+r+4f)
The student council at DMS is selling t-shirts for spirit week. The company they have chosen to make the shirts charges a one-time design fee of $50. The t-shirts will cost $5.25 per shirt. If the school collects $1362.50 for the shirts were sold?
I suppose it asks for how many have been sold.
So we have $50 for design fees.. then $5.25/shirt..
The total is $55.25 per shirt.
We divide $1362.50 to $55.25 and we get 24 shirts with $36 set loose.
Answer:
YA
Step-by-step explanation:
Dimitri is putting away his toy cars in a container. Each of his cars weighs 1.25 ounces. Dimitri has 50 toy cars. If the container can hold up to 60 ounces without breaking, will the container hold all the cars without breaking?
Yes; they weigh 50.5 ounces.
No; they weigh 61.25 ounces.
Yes; they weigh 51.25 ounces.
No; they weigh 62.5 ounces.
ANSWER ASAP PLSS!!!!!
Answer:
No
Step-by-step explanation:
If you multiply 1.25(50) is 62.5
and 62.5 is larger than 60
so,
:• No; they weigh 62.5 ounces
Answer: D
Step-by-step explanation:
Facts
each car ways 1.25 ounces
he has 50 cars
his container can hold 60 ounces
The question: Will the container hold all the cars without going over 60 ounces?
Step 1: Find the total number of ounces for all 50 cars
1.25 x 50= 62.5
Step 2: Compare
62.5 > 60
Because 62.5 is greater than 60, all of the cars CANNOT fit.
Ans= D
Hope this helps :)) Brainliest would be appreciated :D
Brainliestt help please
Find a common denominator and then subtract and simplify your answer.
8/9 - 2/3
A.4/9
B.3/9
C.2/9
Answer:
c 2/9
Step-by-step explanation
Janice drew one card from a standard deck of 52 cards. What fraction of the deck of cards is red?
A. 1/3
B. 1/2
C. 3/4
Answer:
b. 1/2
Step-by-step explanation:
Pls help me giving brainliest no links please
What system of equations is shown in the graph?
Answer:
B
Step-by-step explanation:
You can use process of elimination of this question. All we need to know is that the flat line is y = -2. No answer choice has this, so the correct option is B.
PLS FASSTTT
Leena pulls a blue tile out of a bag of same-size tiles without looking. There are 4 purple tiles, 6 blue tiles, and 8 green tiles left in the bag. Find the theoretical probability that the next tile she picks is the same color and the probability that it is a different color. Is it likely the next tile she picks will match?
Answer:
1/3
Step-by-step explanation:
To find the probability of finding a blue tile you have to find blue tiles over the total number of tilesFirst, we have to find the total amount of blue tiles
4 purple 6 blue 8 green
we have 6 blue tiles
Next, we have to find the the total amount of tiles
4+6+8=18
Now, we put it as a fraction then simplify
6/18=1/3
500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18 degree angle, since 18 degrees is 5% of 360 degrees.
If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?
Answer:
20%
Step-by-step explanation:
Method 1
Percentage of people who preferred red:
= 13%
Percentage of people who named a rainbow color:
= 13 % + 4% + 5% + 15% + 16% + 12%
= 65%
Percentage of people who preferred red from those who named a rainbow color:
= (13% ÷ 65%) × 100
= 20%
Method 2
Number of people who preferred red:
= 13% of 500
= 13% × 500
= 0.13 × 500
= 65
Percentage of people who named a rainbow color:
= 13 % + 4% + 5% + 15% + 16% + 12%
= 65%
Number of people who named a rainbow color:
= 65% of 500
= 65% × 500
= 0.65 × 500
= 325
Percentage of people who preferred red from those who named a rainbow color:
= (number who preferred red ÷ number named rainbow color) × 100
= (65 ÷ 325) × 100
= 20%
Pls Brainliest!
Answer:
20%
Step-by-step explanation:
The rainbow colors add up to 13 + 4 + 5 + 15 + 16 + 12 = 65 percent of the pie chart. So, 65% ∙ 500 = 325 people in the survey named a rainbow color. Of these, 13% ∙ 500 = 65 named red.
Therefore, if we consider only the 325 people who named a rainbow color, the percentage of those people who preferred red is
65/325 = 1/5 = 20%
(You may notice that the answer would still be 20% even if the total number of people in the survey were some number other than 500. This is because 13% is 20% of 65%, no matter what these are percentages of!)
Which of the following correctly lists angle pairs that have sums of 180° and 90°?
C.) supplementary angles, complementary angles
Step-by-step explanation:
Look at the picture below.
A supplementary angle(s) has a total sum of 180°
A complimentary angle(s) has a total sum of 90°
Other angles like congruent, only refer to an angle that is exactly the same.
Therefore, C would be the correct answer.
Help Please!!! Giving 30 points!
Answer:
1225
Step-by-step explanation:
i just multiplied them together umm yeah...
Answer:
1225
Step-by-step explanation: