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?
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
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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Solve the inequality.Explain all steps and Identify the properties used. n/-3 + 5>4
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
Find the measure of angel b
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 symbol correctly compares the two fractions use <, > or = 2/4 and 3/8
Which expression results on a rational number?
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
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)
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.
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]
She spent 1/4 of her money on a shirt and 2/5 on shoes. What fraction of money has been spent
Distance between the points
The sum of two consecutive numbers is 95. What are the two numbers?
[tex]\huge{\boxed{47}}\ \ \huge{\boxed{48}}[/tex]
First, represent the situation with numbers and variables. The first number will be [tex]x[/tex] and the second number will be [tex]x+1[/tex]. [tex]x+x+1=95[/tex]
Combine like terms. [tex]2x+1=95[/tex]
Subtract 1 on both sides. [tex]2x=94[/tex]
Divide both sides by 2. [tex]x=\boxed{47}[/tex]
Find the second number. [tex]x+1\ =\ 47+1\ =\ \boxed{48}[/tex]
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
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?
An international company has 13,600 employees in one country. If this represents 19.3% of the company's employees, how many employees does it have in total?
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).
When a coordinate grid is superimposed on a map of harrisburg the highschool is located at (17,21) and the town park is located at (28,13) . If each unit represents 1 mile, how many miles apart are the highschool and the town park? round your answer to the nearest tenth
To find the distance between the high school at (17,21) and the town park at (28,13), use the distance formula which yields a result of approximately 13.6 miles apart, rounded to the nearest tenth.
When looking at the coordinates of the high school at (17,21) and the town park at (28,13) on a coordinate grid where each unit represents 1 mile, we need to use the distance formula to calculate the distance between the two points. The distance formula is derived from the Pythagorean theorem and is given by:
[tex]Distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Substituting the values -
[tex]Distance = \sqrt{{(28 - 17)^2 + (13 - 21)^2}[/tex]
Calculate the differences and square them:
Distance = [tex]\sqrt{{(11)^2 + (-8)^2}\\[/tex]
Distance = [tex]\sqrt{{121 + 64}[/tex]
Distance = [tex]\sqrt{{185[/tex]
Take the square root to find the distance:
Distance = 13.6 miles
Therefore, the high school and the town park are approximately 13.6 miles apart, rounded to the nearest tenth.
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?
What is the positive square root of 36? Enter your answer in the box.
Maria has 5 6/7 square yards of fabric. She uses 2 2/3 square yards fo fabric to make a dress. Does she have enough fabric left over to make a shawl that takes 2 1/4 square yards of fabric?
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?
Which number has a 5 whose value is 10 times the value as the 5 in 24092.52
A.3,498.05
B.65
C.4835.19
D.859.24
A stamp collector bought 160 stamps for $25.00. The purchase included 5¢ stamps, 15¢ stamps, and 25¢ stamps. The number of 15¢ stamps is three times the number of 5¢ stamps. How many of each type of stamp was purchased?
The stamp collector purchased 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps.
Explanation:To solve this problem, let's assign variables to the number of each type of stamp purchased. Let x be the number of 5¢ stamps, y be the number of 15¢ stamps, and z be the number of 25¢ stamps. We are given that the number of 15¢ stamps is three times the number of 5¢ stamps, so we can write this as y = 3x. We also know that the total number of stamps is 160, so we have the equation x + y + z = 160.
Using these equations, we can set up a system of equations:
y = 3x
x + y + z = 160
We can substitute the first equation into the second equation to eliminate y:
x + 3x + z = 160
Combining like terms, we get 4x + z = 160. We can rearrange the equation to solve for z:
z = 160 - 4x
Now we can substitute this expression for z back into the second equation:
x + 3x + 160 - 4x = 160
Simplifying, we get 4x = 0. Solving for x, we find x = 40. Plugging this value back into the equation y = 3x, we get y = 120. Finally, we can find z by substituting x and y into the equation z = 160 - 4x:
z = 160 - 4(40) = 160 - 160 = 0.
So, 40 5¢ stamps, 120 15¢ stamps, and 0 25¢ stamps were purchased.
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Write the solution to the inequality in set - builder notation:
5r + 8 < 63
what is 1/10 of .1 thank you
What are the missing angles?