In a survey about favorite breakfast foods, 3/8 of those surveyed chose cereal , 0.125 chose yogurt, 0.1875 chose fruit, 5/8 chose toast which got the least number of votes.
The given question is a comparison of fractions and decimals to determine the smallest number. When all values are converted to decimals for easier comparison, we find that the smallest number is 0.125, which represents the people who chose yogurt as a breakfast food, hence, yogurt got the least number of votes.
Explanation:The given values in the problem represent different proportions of people's choices for breakfast. The question wants to find the breakfast food with the least number of votes. To do this, we need to understand the numerical values. All are fractions and decimal numbers that represent parts of 1 whole (or 100 percent). Here, the numbers are 3/8 for cereal, 0.125 for yogurt, 0.1875 for fruit, and 5/8 for toast. Converting all to either decimals or fractions for comparison, we get 0.375 for cereal, 0.125 for yogurt, 0.1875 for fruit, and 0.625 for toast.
Comparing these numbers, 0.125 (yogurt) is the smallest number. Therefore, among the given choices, the least number of people chose yogurt for their breakfast food.
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Factor the polynomial: 8t^2 + 8t - 72
Final answer:
To factor the polynomial [tex]8t^2 + 8t - 72,[/tex] we first extract the common factor of 8, then factor the trinomial [tex]t^2 + t - 9[/tex] using the technique of finding two numbers that multiply to -72 and add up to 1, which are 9 and -8. Finally, we group and factor by grouping to get the factored form, 8(t - 8)(t + 9).
Explanation:
To factor the polynomial [tex]8t^2 + 8t - 72,[/tex], we will first look for the common factors and then apply factoring techniques. First, we can take out the common factor of 8:
8[tex](t^2 + t - 9)[/tex]
Next, we factor the trinomial inside the parentheses. We need two numbers that multiply to 8 * -9 = -72 and add up to 1. These numbers are 9 and -8. So, we can split the middle term based on these numbers:
[tex]t^2 - 8t + 9t - 9[/tex]
We group the terms to factor by grouping:
[tex](t^2 - 8t) + (9t - 9)[/tex]t(t - 8) + 9(t - 1)Now we factor out the common binomial factor:
(t - 8)(t + 9)
Therefore, the factored form of [tex]8t^2 + 8t - 72,[/tex] is 8(t - 8)(t + 9).
What is the positive square root of 36? Enter your answer in the box.
A telecommunication company has 7 satellites, two of which are sending a week signal. If two are picked at random without replacement, find the probability that both are sending a week signal
Hence, the probability that both are sending a weak signal is [tex]\frac{1}{21}.[/tex]
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex], where, roughly speaking, [tex]0[/tex] indicates the impossibility of the event and [tex]1[/tex] indicates certainty.
Since, [tex]\frac{2}{7}[/tex] is the probability that the first satellite sends a weak signal.
And leaves six, and one is sending a weak signal.
So, the probability that the second also sends a weak signal it has the probability [tex]\frac{1}{6}[/tex].
By Combining these and we get
[tex]\frac{2}{7}[/tex]×[tex]\frac{1}{6}[/tex] = [tex]\frac{1}{21}[/tex] .
Hence, the probability that both are sending a weak signal is [tex]\frac{1}{21}.[/tex]
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a utility bill shows that a household use 2001 gallons of water in a 5-day period. what was the average amount of water used by the households each day
Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
the answer is 2(y-12)
What is 4/5 - 2/3?
Someone please answer.
I have to write up to 20 characters so yh.
Which expression results on a rational number?
A science fair poster is a rectangle 3 feet long and 2 feet wide. What is the area of the poster in square inches? Be sure to include the correct unit in your answer.
Joel earns 1,700 per month if he spends 425 on rent what percent of his income dose he spend on rent?
Can y’all plz help me ignore the writing part on the side of it plz show me the steps or tell me
I need help ASAP i'm doing math and we are do Addition with mixed numbers
A freight train is loaded with 12 1/2 tons of corn, 11 1/3 tons of oats, and 6 1/4 tons of wheat.how many tons of grain is it carrying? Note: Corn, oats, and wheat are considered grain
A) 29 1/12
B) 30 1/12
C) 29 11/12
D) 30 1/6
Solve the equation. If there is no solution, write no solution. 4|n| – 19 = 13
A. n = 8 or n = –8
B. n = 28 or n = –36
C. no solution
An art teacher has 192 containers of paint for 17 students. If the teacher wants to provide each student with an equal amount of containers, how many containers will be left over?
A satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?
A satellite makes 26 revolutions of the earth in 6 1/2 days.
What is fraction?"A number expressed as a quotient, in which a numerator is divided by a denominator. "
What is unitary method?"It is a method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A satellite makes 4 revolutions of the earth in one day.
⇒ 1 day = 4 revolutions
We need to find the number of revolutions in 6 1/2 days.
We can write the fraction [tex]6 \frac{1}{2}[/tex] as,
[tex]6 \frac{1}{2}[/tex] days
= [tex]\frac{13}{2}[/tex] days
= 6.5 days
By unitary method, for 6.5 days the number of revolutions would be,
= 6.5 × 4
= 26
Therefore, a satellite makes 26 revolutions of the earth in 6 1/2 days.
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A car detailing company charges $30 plus $18 per hour. Another company charges $25 plus $20 per hour. How long is a job that costs the same no matter which company is used? (There should be a variable on both sides of the equal sign/equation)
Distance between the points
Which symbol correctly compares the two fractions use <, > or = 2/4 and 3/8
Shelby is organizing the 12 prize ribbons she won for athletic competitions. She has twice as many first place ribbons as she does second place ribbons. How many first place ribbons does she have?
Your cousin is taking the train to Washington to visit her parents. She has at most $15.00 to spend on snacks and reading materials. Granola bars cost $1.15 each, and magazines cost $1.25. If your cousin buys the same number of granola bars and magazines, how many can she buy?
She spent 1/4 of her money on a shirt and 2/5 on shoes. What fraction of money has been spent
Please help. I don’t understand any of this.
Answer:
If the two triangles are congruent (not just similar), then QS and TV would be equal. Thus, 3v + 2 = 7v - 6.
Solving this equation for v: 4v = 8, and v = 2.
Then QS = 3(2) + 2, or 8, and TV should be the same: 7(2) - 6 = 8.
Step-by-step explanation:
on Saturday 2832 tourists visited the zoo on Friday 1475 tourists visited the zoo estimate the number of tourists who visited the zoo on the two days by first rounding the numbers to the nearest thousand
Identify the corresponding word problem given the equation: x + 12.50 = 55.75 A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before? B) For mowing the neighbor's yard, Jessy was paid $55.75. If he now has $12.50, how much money did he have before? C) For mowing the neighbor's yard, Jessy was paid $43.25. If he now has $55.75, how much money did he have before? D) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $68.25, how much money did he have before?
Option A is correct. For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is
x + 12.50 = 55.75
x=55.75-12.5
x=43.25
We need to find among the given options which corresponds the given equation
A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
B) For mowing the neighbor's yard, Jessy was paid $55.75. If he now has $12.50, how much money did he have before?
C) For mowing the neighbor's yard, Jessy was paid $43.25. If he now has $55.75, how much money did he have before?
D) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $68.25, how much money did he have before?
In these options, option A corresponds the equation x + 12.50 = 55.75
The amount Jessy has now is 55.75, 12.75 is paid, x is the money before jessy have.
Hence, Option A is correct. For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
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What are the missing angles?
Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can. What was the price of a can of tuna without the coupon? Enter your answer in the box.
Answer: $1.98
Step-by-step explanation:
Given: The total amount Tanya spent on cans of tuna = $8.15
Also, she used a coupon that gave her 35 cents off each can.
Therefore, The total discount on 5 cans =[tex]5\times35=175\ cents[/tex]
Since, $1=100 cents or 1 cent= 0.01 dollar
Therefore, the total discount on 5 cans=[tex]0.01\times175=\$1.75[/tex]
Now, the price of 5 cans of tuna without the coupon=[tex]\$8.15+1.75=\$9.90[/tex]
The price of a can of tuna without the coupon=[tex]\frac{9.90}{5}=\$1.98[/tex]
Balloons or bust sells balloons in 18 different colors. Each color comes in 3 sizes. They will inflate the balloon and tie on a gold, green, red,blue, pink or purple ribbon. How many different choices are there?
what is 1/10 of .1 thank you
Write 0.8 as a fraction.
Using the place value chart, we can see that the decimal 0.8 is eight-tenths, so we can write 0.8 as the fraction [tex]\frac{8}{10}.[/tex] We are able to simplify so we will divide the numerator and the denominator by 4.
Image is provided.
Therefore, the decimal 0.8 can be written as [tex]\frac{4}{5}[/tex].
Answer:
4/5
Step-by-step explanation:
0.8=8/10=4/5
Write the solution to the inequality in set - builder notation:
5r + 8 < 63