Choose a number from 101 to 110, we selected 106. To represent it with tens and ones, draw ten groups of ten for 'ten tens' which equals 100, and then draw 6 individual objects depicting 'and more' to visually show that 106 is 100 plus 6.
To choose a number from 101 to 110 and represent it as ten tens and more, let's select the number 106. The number 106 can be broken down into ten tens (which is 100) and an additional 6 to make up the full number.
A visual representation of this could be:
For the ten tens, you can draw ten groups of ten sticks or circles together, which would represent 100.
For the additional 6, draw six more sticks or circles away from the groups of tens.
So the drawing will show ten sets of ten objects, such as sticks or dots for the tens, and then six individual objects for the ones, clearly indicating that 106 consists of 100 (ten tens) plus 6 more.
Laticia randomly selected 25% of the seventh grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season?
A) 15
B) 75
C) 150
D) 200
The most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season is 75.
To predict the number of seventh-grade students in Laticia's school who would choose summer as their favorite season, we can use the fact that she surveyed 25% of the seventh-grade students and found that 51 of them chose summer.
First, we need to find out how many seventh-grade students there are in total. Since Laticia surveyed 25%, we can set up a proportion:
[tex]\[\frac{51}{25\%} = \frac{x}{100\%}\][/tex]
Solving for x, the total number of seventh-grade students, we get:
[tex]\[x = \frac{51 \times 100\%}{25\%} = 204\][/tex]
Now, since 51 students chose summer as their favorite season out of 204 seventh-grade students, to find out how many students might choose summer if all seventh-grade students were surveyed, we can set up another proportion:
[tex]\[\frac{51}{204} = \frac{y}{100\%}\][/tex]
Solving for y, the number of students who might choose summer if all seventh-grade students were surveyed:
[tex]\[y = \frac{51 \times 100\%}{204} = 25\%\][/tex]
This comes out to (y = 51), which means if all seventh-grade students were surveyed, we could reasonably predict that 51 of them would choose summer as their favorite season. Therefore, option B) 75 is the most reasonable prediction.
Which of the following is a rational number?
Square root of 22
Square root of 23
Square root of 24
Square root of 25
Answer:
√25
Step-by-step explanation:
√25 = √(5²) = 5 . . . . a rational number
The other roots are not the roots of perfect squares, so are irrational.
after 1 year on the job, Grady got a raise from $10.50 per hour to $11.34 per hour. what was the percent increase in his hourly wage
Grady's payements or wages for hourly is increased by 8 percent.
What is percent?A Percentage or percent, a relative value indicating hundredth parts of any quantity.
How to caluclate increase in percent?To calcualte the increase in percentage first we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100.
According to the given question.
The intial payment for one hour was $10.50
And, after one hour the payment is $11.34
⇒ The increment in the payment = $11.34 - $10.50 = $0.84
Therefore,
the percent increase in Grady's hourly wage
[tex]= \frac{increment \ in \ the \ payement}{origibal \ paynent\ } \times 100[/tex]
[tex]= \frac{0.84}{10.50} \times 100[/tex]
[tex]= 0.08 \times 100[/tex]
[tex]= 8\%[/tex]
Hence, Grady's payements or wages for hourly is increased by 8 percent.
Find out more information about percent here:
https://brainly.com/question/17447703
#SPJ2
By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its base are unchanged?
A. 1/16
B. 1/8
C. 4
D. 8
Can someone help me please answer this question
A cone-shaped container has a height of 9 inches and diameter of 2 inches. It is filled with a liquid that is worth $2 per cubic inch.
What is the total value of the liquid in the container?
Use 3.14 for π .
Enter your answer in the box.
Answer:$18.84. I hope this helps. Have a great day!♡
Step-by-step explanation:
What plus what equals 24
Final answer:
Different pairs of numbers can add up to 24.
Explanation:
The sum of two numbers that equals 24 depends on the specific values of the two numbers. However, here are a few examples:
12 + 12 = 24
20 + 4 = 24
15 + 9 = 24
These examples show that different pairs of numbers can add up to 24. The sum can be found by adding the two numbers together.
What is the equation of the translated function?
A. f(x) = (x – 1)2 – 5
B. f(x) = (x + 1)2 + 5
C. f(x) = (x – 5)2 – 1
D. f(x) = (x + 5)2 + 1
Yes the answer is B
The translated function is f(x) = (x - 1)² + 5.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The vertex of the original function = (0, 0)
The vertex of the translated function = (-1, 5)
Now,
f(x) → f(x + a) represents a horizontal translation of f(x)
If a > 0 then a shift to the right of a units
If a < 0 then a shift to the left of a units
Vertex = (-1, 5)
This means the translated graph has been shifted to 1 unit left.
So,
f(x) = (x - 1)²
Now,
f(x) → f(x) + c represents a vertical translation of f(x)
If c > 0 then a shift up of c units
If c < 0 then a shift down of c units
Vertex = (-1, 5)
This means,
The translated graph has been shifted 5 units up.
So,
f(x) = (x - 1)² + 5
Thus,
The translated function is
f(x) = (x - 1)² + 5
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ6
Combine like terms to simplify.
2. 3v + w +8 - 2n
Give two sets of potential sides for a triangle. One set of side lengths should be able to be used for a right triangle and the other set of side lengths should not be able to form a right triangle.
Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write to angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
Answer:
Four songs
Step-by-step explanation:
1. Change into y-intercept form.
y = 3.25/1x + 18
y = 2.00/1x + 23
2. Graph them!!
the outcome is ( 4, 31 )
So 4 songs for $31.00
Kendrick’s math quiz grades are 90, 100, 48, 88, 100, and 96. Find the MEAN of Kendrick’s scores. A) 48 B) 52 C) 87 D) 93
During a sale, a store manager reduces a sweater's price by 30%. After the sale, the manager increases the price by 30%. Are the prices before and after the sale equal?
Toni and makayla are working on a craft project.Makayla has 3 yards of ribbon and Toni has 4yards of ribben.They cut all the ribbon into pieces that are 1/4 yard long.How many pieces of ribbon do they have?
kim has a scale drawing of a car with a scale of 1 in : 3 ft. what is the scale factor
Final answer:
The scale factor for the scale drawing of a car with a scale of 1 inch : 3 feet is 1:36, or the fraction 1/36.
Explanation:
The student has a scale drawing of a car with a scale of 1 inch : 3 feet. To find the scale factor for this drawing, you need to convert feet into inches since the scale is given in inches to feet. There are 12 inches in a foot, so 3 feet is the same as 36 inches. Therefore, the scale for the car drawing is 1 inch on the drawing for every 36 inches of the actual car.
The scale factor is the ratio of the dimension in the drawing to the actual dimension of the object. In this case, the scale factor is 1:36, which can be written as the fraction 1/36. This means that every inch on the scale drawing represents 36 inches on the actual car.
(x -1) = 26 = -4x
A. -7 5/7
B. 8
C. -7
D. -5
The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units: V = 5s3 If s = 1.4 units, what is the value of V? 13.72 cubic units
19.21 cubic units
21 cubic units
25 cubic units
Answer:
Step-by-step explanation:
The answer is 13.72 because 1.4^3=2.744
and 2.744*5=13.72
The total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The equation V = 5s³ represents the total volume of 5 identical boxes
s represents the each side length
We have to find the total volume
The value of s is given as 1.4
Plug in s value in V formula
V=5(1.4)³
V=5×1.4×1.4×1.4
V=13.72 cubic units
Hence, the total volume when each side is 1.4 units is 13.72 cubic units, option A is correct.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ3
The table shows the area of a square with the given side length.
A. Write an equation that could represent the function table.
Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response. He answered 35 questions correctly and 15 questions incorrectly, so his total number of points was 35(2) + [-1/2(15)]. Which is another way to write Brett’s total number of points on the test?
Answer:
35(2) - 1/2(15)
Step-by-step explanation:
35(2) + [-1/2(15)] -----> 35(2) - 1/2(15)
take away the unnecessary extra brackets and replace the plus with a minus sign
hope this helps :)
Another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Brett took a test in which 2 points were earned for each correct response and -1/2 point was earned for each incorrect response.
From the data given in the question:
= 35(2) - 1/2(15)
= 35(2) + [-1/2(15)]
Another way to write Brett’s total number of points on the test:
= 35(2) - 1/2(15)
Thus, another way to write Brett’s total number of points on the test is 35(2) - 1/2(15).
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Find 3mt(2m^2-3mt+r^2)
The sum of 1 and x less less than 5.
HELP ME :) please .....
Please help! Im bad at math!!!!
A prism is completely filled with 576 cubes that have edge length of ¼ in.
What is the volume of the prism?
Enter your answer in the box.
Answer:9
Step-by-step explanation:
Does anyone know the Answer
0 is greater than or equal to 7n
Final answer:
To solve the inequality 0 is greater than or equal to 7n, divide both sides by 7 to get n ≤ 0. This implies n can be any number less than or equal to zero.
Explanation:
The question asks us to solve the inequality 0 is greater than or equal to 7n. This involves understanding inequalities and basic algebraic manipulation. To solve for n, we divide both sides of the inequality by 7, keeping in mind the rules regarding dividing by a positive or negative number. Since 7 is positive, the direction of the inequality remains the same. Thus, we get n ≤ 0.
This means that n can be any number less than or equal to zero for the inequality to be true. It's an important fundamental of algebra that assists in understanding how to work with inequalities and solve them correctly.
I need to increase my sales by 35% this month I’m currently at 45 sales how many sales do I need to meet my goal ?
Answer:
61 sales.
Step-by-step explanation:
Let x represent present sales.
We have been given that you need to increase your sales by 35% this month. You are currently at 45 sales.
To find the number of sales to meet the goal, we will find 35% of 45 and add to 45 as:
[tex]\text{The number of sales to meet the goal}=45+\frac{35}{100}*45[/tex]
[tex]\text{The number of sales to meet the goal}=45+0.35*45[/tex]
[tex]\text{The number of sales to meet the goal}=45+15.75[/tex]
[tex]\text{The number of sales to meet the goal}=60.75[/tex]
[tex]\text{The number of sales to meet the goal}\approx 61[/tex]
Therefore, you need to make 61 sales to meet you goal.
Sarah spends 1/6 hour vacuuming her mom's car. She spends 4 times as long washing the car. Then she spends twice as long waxing the car as she does washing the car. What is the total amount of time Sarah spends vacuuming, washing, and waxing her mom's car?
your answer will be 2 hours and 10 minutes
mark brainliest
Answer:
2 10
Step-by-step explanation:
210
You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample? A) 4.75 Hours B) 5.05 Hours C) 5.25 Hours D) 5.45 Hours
STUDENT HOURS
KATY 5.5
MIKE 4.25
SAM 7.75
HOLLY 3.5
JAKE 6.25
You've randomly surveyed some students in your science class to find the number of hours per week they study. What is the mean, based on your sample?
STUDENT HOURS
KATY 5.5
MIKE 4.25
SAM 7.75
HOLLY 3.5
JAKE 6.25
Mean=[tex] \frac{Sum Of Hours}{Number of Students} [/tex]
Sum Of Hours=5.5+4.25+7.75+3.5+6.25=27.25
Number of Students=5
mean=[tex] \frac{27.25}{5} [/tex]
On dividing, 27.25 by 5, we get, 5.45
So, Mean=5.45
Answer: Option (d) : Mean=5..45hours
8x-5y=11 4x-3y=5 solve using elimination method
Answer:
8x - 5y = 11---->8x - 5y = 11
4x - 3y = 5---->-8x + 6y = -10
-------------------
y = 1, x = 2
{(2, 1)}