Answer:
17
Step-by-step explanation:
You are to follow the clues. Since it is 2 digits and is prime, go through the prime numbers between 10 and 20. They are 11, 13, 17, and 19. Then you find the factors of 34 which are 1×34 2x17. That leaves only 1 possible answer: 17
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.
Learn more about Stamps here:https://brainly.com/question/22056874
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The population of a town decreased from 15,925 people to 8759 people. What was the approximate percent decrease?
Distance between the points
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
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?
Solve the inequality.Explain all steps and Identify the properties used. n/-3 + 5>4
What is the positive square root of 36? Enter your answer in the box.
What is the relationship between the values of the two 4s in 3.441
Answer:
The given number is 3.441
The first 4 is in the tenth place that is written like [tex]\frac{4}{10}[/tex] or 0.4
The second 4 is in the hundredth place that is written like [tex]\frac{4}{100}[/tex] or 0.04
We can see that the second 4 is one tenth times the first 4. This is shown like = [tex]\frac{1}{10} \times\frac{1}{10}[/tex] = [tex]\frac{1}{100}[/tex]
Or we can say the opposite that the first 4 is ten times the second 4.
Find the measure of angel b
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?
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]
Which expression results on a rational number?
(6.5/2) to the second power. Simplify
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?
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
PLEASE HELP ANSWER WITH ALL STEPS PLS
NUMBER 3 WILL BE A PICTURE
QUESTION 4
Solve for n.
–2.34n = –12.168
n = 5.2
n = 9.828
n = –5.2
n = –9.828
QUESTION 5
Use a transformation to solve the equation.
–8c = 56
c = –48
c = 7
c = –7
c = 48
how many integers are greater than 9 37 and less than 37 9
How do you determine if a set of ordered pairs is a function or not?
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?
Ahmad drove 638 miles in 11 hours. At the same rate, how long would it take him to drive 522 miles?
Answer:
9
Step-by-step explanation:
Write an expression to represent the perimeter of:
2a-3
2a
3a+1
Which symbol correctly compares the two fractions use <, > or = 2/4 and 3/8
If 3 onions weigh 0.75 lb,how much do 10 onions weigh
What are the missing angles?
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
She spent 1/4 of her money on a shirt and 2/5 on shoes. What fraction of money has been spent
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
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.
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?
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]