Answer:
1.) Let x be the number. The inequality can be written as:
x + 7 < 18
Subtracting 7 from both sides, we get:
x < 11
Therefore, the number is less than 11.
2.) Let x be the number. The inequality can be written as:
x + 5 > 26
Subtracting 5 from both sides, we get:
x > 21
Therefore, the number is greater than 21.
3.) Let x be the first integer. The second integer is x+1. The inequality can be written as:
x + (x+1) < 55
Simplifying, we get:
2x + 1 < 55
Subtracting 1 from both sides, we get:
2x < 54
Dividing both sides by 2, we get:
x < 27
Therefore, the largest possible first integer is 26, and the second integer is 27. Their sum is 53.
4.) Let w be the width of the rectangle. The length is 4cm longer than the width, so the length is w + 4. The perimeter is given by:
2(length + width) ≤ 28
Substituting the expressions for length and width, we get:
2(w + 4 + w) ≤ 28
Simplifying, we get:
4w + 8 ≤ 28
Subtracting 8 from both sides, we get:
4w ≤ 20
Dividing both sides by 4, we get:
w ≤ 5
Therefore, the maximum possible width is 5cm, and the maximum possible length is 9cm.
5.) Let x be the first odd integer. The second and third odd integers are x+2 and x+4, respectively. The inequality can be written as:
x + (x+2) + (x+4) ≥ 51
Simplifying, we get:
3x + 6 ≥ 51
Subtracting 6 from both sides, we get:
3x ≥ 45
Dividing both sides by 3, we get:
x ≥ 15
Therefore, the smallest possible first odd integer is 15, and the second and third odd integers are 17 and 19, respectively. The middle integer is 17.
Step-by-step explanation:
evaluate the expression when m=5. m^2-16
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500
Answer:
Answer is B)
Step-by-step explanation:
Josiah's mistake is (b) He did not multiply the numerator and denominator by the correct number to equal 1,500
The proportion is given as:
Multiply both sides by 1500
Evaluate the expression on the right-hand side
Multiply 10 by 1500 on the left-hand side
Divide 15000 by 20 on the left-hand side
Rewrite the equation as:
From the question, we can see that the products are not well carried out.
Hence, Josiah's mistake is (b)
He got the rock songs part right. He did not multiply the numerator and denominator by the correct number until 1500.
What is Fraction ?What is fraction and example?
A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts
Types of Fractions Proper fraction,Improper fraction,Mixed fraction,Like fractions,Unlike fractions,Equivalent fractions.
The statements that are true about Josiah's solution are:
He correctly found the proportion of rock songs by setting the ratio (number of rock songs in the sample) / (total number of songs in the sample) = (number of rock songs in the MP3 player) / (total number of songs in the sample). sample MP3 player) and solving for x:
Start Fraction 10 over 20 EndFraction = Start Fraction x over 1500 End Fraction.
Initial fraction 10 times 30 over 20 times 30 final fraction = initial fraction x over 1500 final fraction.
300 = x.
He didn't hit the average of the rock songs right because the average of 4 and 6 is 5, not 300.
He did not multiply the numerator and denominator by the correct number to 1500 because he should have multiplied both by 75 instead of 30 to get:
Initial fraction 10 times 75 over 20 times 75 final fraction = initial fraction x over 1500 final fraction. He did not have to divide 10 by 2 when he determined the ratio, because the ratio is already in its simplest form. So the real arguments are:
He got the rock songs part right. He did not multiply the numerator and denominator by the correct number until 1500. He did not have to divide 10 by 2 to determine the ratio.
Learn more about Proper fraction here
https://brainly.com/question/1601136
#SPJ1
A townhouse community of 250 residents wants to determine if installing a new playground will be a good idea. Which group of residents would be the best sample to use for a survey that is designed to gather information about the opinions of all the townhouse community?
A. Randomly choosing 50 residents without children.
B. Randomly choosing 50 residents with children.
C. Randomly choosing 50 residents by drawing house numbers from all the house
numbers in the community.
D. Randomly choosing 50 residents by drawing house numbers from the odd numbered houses in the community.
Answer: C) Randomly choosing 50 residents by drawing house numbers from all the house numbers in the community
Step-by-step explanation: by randomly drawing house numbers you get a good sample size and diverse answers from a good representation of the community. The other examples could create a bias and create inaccurate results. :)
4 3/40 simplest form.
HELP THIS DUE TOOODAAAY!!!
Answer:
163/40
Step-by-step explanation:
multiply 4x40
then add 3
= 163
then put it over 40
163/40
Answer:
To simplify 4 3/40, we need to convert the mixed number to an improper fraction and then simplify:
4 3/40 = (4 × 40 + 3) / 40 (convert to improper fraction)
= 163 / 40
Now, we can simplify this fraction by finding the greatest common factor (GCF) of the numerator and denominator, which is 1:
163 / 40 = (163 ÷ 1) / (40 ÷ 1)
= 163 / 40
Therefore, 4 3/40 in simplest form is 163/40.
(Please could you kindly mark my answer as brainliest you could also follow me so that you could easily reach out to me for any other questions)
HELP A concession stand starts the day with h hamburgers. how many hamburgers do they have left at the end of the day if the sold 58 hamburgers?
Answer:32 hamburgers
Step-by-step explanation:
Aziz's guess must have been ____ gumballs or ____ gumballs since his guess had a percent error of 5%.
Answer: 722 or 798
Step-by-step explanation: Therefore, Aziz's guess must have been 722 gumballs or 798 gumballs since his guess had a percent error of 5%.
Answer:
The percent error Chelsea's guess is 2.3% and Aziz's guess must have been 722 gumballs or 798 gumballs.
Step-by-step explanation:
A locker combination has two nonzero digits, and the digits can be repeated. The first number is 3. What is the probability that the second number is 3? A 1/27 B 1/9 C 1/8 D 8/9
Answer:
B
Step-by-step explanation:
Math please help 15 pts NEEDED IN 30-40MINS
Answer:
The volume of the Styrofoam collar is 1583.36
Hope this helps!
Step-by-step explanation:
The volume of a cylinder is [tex]\pi r^{2} *h[/tex].
First, find the volume of the entire cylinder : [tex]\pi[/tex] × [tex]5^{2}[/tex] × 24, which would give us 1884.95559... . Find the volume of the smaller cylinder ( [tex]\pi[/tex] × [tex]2^{2}[/tex] × 24 ) which would be 301.5928947... . Subtract the two get 1583.36269745... .
2. The figure below consists of a triangle, a rectangle, and a trapezoid. What is the area of the figure in square units?
Answer: 56
Step-by-step explanation
well you could break up this "shape"into multiple different parts (already broken) you want to find the area of all the shapes then add the areas.
first lets start off with the two triangles at the top the area for a triangle is base x height divided by 2, the base would be because of the 5 and the 2 at the edge of the triangle and the height would be 4 because of the 10 at the top minus the 6
for this case we wouldn't divide by 2 because there are 2 triangles, so there is no point. ( 7 X 4 = 28)
then we would move onto the large rectangle, the area of a triangle is base x height, base=4 height=5 (4 x 5 = 20)
then we move onto the smaller rectangle using the same area formula, base=2 because if you look at the 6 on the top and minus the 4 of the large rectangle. height =3 (2x3=6)
and the last one the small triangle, for this we would use the same formula ( base x height divided by 2) we are dividing by two because there is only 1 triangle. base=2 and height=2 because of the five on the right minus the 3 *height of the smaller rectangle* so
(2X2 divided by 2= 2)
then we add them all up, 28 + 20 + 2 + 6 = 56
Explain how u can mentally find the sum of the fractions in exercise 3 without actually performing the calculations.
Write the other side of this equation so it's true for all values of x:
1/3(12x + 18) + x =
HELPPPPPPPPPP ME PLS
Answer: 76.5
Step-by-step explanation: First of all, you should divide all of the shapes into 1 shape. That leaves you with 3 separate shapes to find the area to. First, let's start at the bottom rectangle. The area of that rectangle is 42. Now, lets to the middle rectangle. 4x7=28, which is the area of that rectangle. Now, we do the triangle. We have to find out the side length, but we know that the bottom length is 13. So, we add 6+7 to get that specific length (13). Because this shape is a triangle, we divide 13 by 2 (6.5). Finally, we add 42+28+6.5, and we get 76.5. Hope this helped!
Which angles are adjacent to each other? Select all that apply.
please help me ive been on this 1 assignment for 25 hours
Answer:
All of them are adjacent but CED and AEC and AEB and BED are both adjacent and linear as both sets they add upto 180 degree
Step-by-step explanation:
See image
Can someone help me with questions 8,9 and 10 I will make you the brainliest
Answer:
8 - 75%
9 - 25%
10 - 50%
Step-by-step explanation:
Look at the figure attached which illustrates the Percentages at different regions which we will use it to solve the required questions.
8 - The Percentage of Data below the Upper Quartile = 25% + 25% + 25% = 75%
9 - The Percentage of Data located between the Lower Quartile and the Median = 25%
10 - The Percentage of the Data above the Median = 25% + 25% = 50%
❗⚠️PLEASE HELP ASAP!!!!!!!!! ⚠️❗
A histogram shows the number of magazines read last month by the students in a class. What percent of the students read less than six magazines?
can you find the mean and median of the data? Explain.
74% percent of the students read less than six magazines
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
A histogram shows the number of magazines read last month by the students in a class
The total number of students are 2+15+3
Number of students=23
Number of students read less than six magazines is 17
Now let us find 17 is what percent of 23
x/100×23=17
23x=1700
Divide both sides by 23
x=1700/23
x=73.9
x=74%
Hence, 74% percent of the students read less than six magazines
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ2
Power to a Power Rule: Which expressions are equivalent to (73)4? Select all that apply.
73*4 would = 292. Therefore, none of the following 'simplified' expressions would equal to that amount.
6. As part of a science project, Juaquim
built the figure shown.
6a. How much space does the figure take up?
6b. What are the dimensions of the three
rectangular prisms you used to find the
volume of the figure?
14 in.
5 in.
6c. Draw lines on the figure to show how you could have divided it into
prisms differently.
14 in.
16 in.
6
-16 in.
5 in.
Answer:
Volume (V) = Area of base × height of the prism
v – 57 ≥ – 32
Show work pls
Answer: I'm assuming that you want me to evaluate it? Here is the answer:
Step-by-step explanation:
Solve for V by simplifying both sides of the inequality, then isolating the variable.
Inequality Form: V ≥ 25
Interval Notation: [25, ∞)
I hope this helped! A brainilist is highly appreciated and helpful! <3
thank you if you help me I only have 1 hour
Which angle is vertical to ABI?
Answer:
B
Step-by-step explanation:
I think that can possibly be the answer but I'm not too sure about it
Find the value of x.
A) 27
B) 34
C) 21
D) 31
Answer:
C
Step-by-step explanation:
since both angles would be the same (z-angle shape), the angle would also be the same
3x+1
3(21)+1
63+1
64
therefore, the answer would be C
Find the GCF of 16 and 56.
1/5 divided by 4 help!
Answer: 0.05 or 1/20
Explanation: 1/5 divided by 4 in fraction form is 1/20, and in decimal form it is 0.05.
Find which statement is wrong.
Answer:
The incorrect statement is number #2
Step-by-step explanation:
i gest said it lol
It takes Jacki 3 hours to complete 7 posters and 9 hours to complete 21 posters.How long will it take her to complete 28 posters
Brainliest if correct!
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). Determine the image coordinates of M′ if the preimage is reflected across y = −3.
A: M′(−1, 4)
B: M′(−1, −2)
C: M′(−1, −1)
D: M′(1, −4)
Answer:
The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)
Credit: first answer by MrRoyal
The coordinates of point M' if the preimage is reflected
across y = −3 would be M'(-1, -2).
What are the types of translations?There are three types of translations -
reflection
rotation
dilation
Given is that a Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). We have to find the image coordinates of M′ if the preimage is reflected across y = −3.
The reflection of point (x, y) reflected across the line y = a is (x, 2a - y)
So, we can write the coordinates of point M' if the preimage is reflected
across y = −3 would be -
M(-1, -4) → M'(-1, 2 x - 3 + 4)
M(-1, -4) → M'(-1, -2)
Therefore, the coordinates of point M' if the preimage is reflected
across y = −3 would be M'(-1, -2).
To solve more questions on graph rotation, visit the link below-
https://brainly.com/question/19527326
#SPJ2
Algae cannot survive at depths greater than 300 meters below sea level. The inequality that represents depths at which algae cannot survive is x < –300. Graph the solution on the number line provided
Answer:
b is the correct graph
Step-by-step explanation:
Event A: Spinning blue on the spinner shown Event B: Rolling a 5 on a number cube What is P(A and B)?
Event A: The probability of spinning and landing on blue is 1/5
Event B: The probability of rolling a 5 on a number cube is 1/6
The probability of both A and B happening is:
[tex]\frac{1}{5}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{30}[/tex]
Hope it helps!
How many terms are in this expression?
6s+7u+4
Answer:5
Step-by-step explanation:O its 5 the answer is 5
Can someone help! Thank you!
Reason:
The numerator is [tex](2.1)^5[/tex]
Raising that to the third power gives
[tex]((2.1)^5)^3 = (2.1)^{5*3} = (2.1)^{15}[/tex]
We multiply the exponents. The general rule is
[tex](a^b)^c = a^{b*c}[/tex]
Use that same rule to cube the denominator.
[tex]((0.9)^4)^3 = (0.9)^{4*3} = (0.9)^{12}[/tex]
Therefore,
[tex]\left(\frac{(2.1)^5}{(0.9)^4}\right)^3=\frac{((2.1)^5)^3}{((0.9)^4)^3}\\\\=\frac{(2.1)^{5*3}}{(0.9)^{4*3}}\\\\=\frac{(2.1)^{15}}{(0.9)^{12}}\\\\[/tex]
In short
[tex]\left(\frac{(2.1)^5}{(0.9)^4}\right)^3=\frac{(2.1)^{15}}{(0.9)^{12}}\\\\[/tex]