54 km is 3 times of 18km and 3 times of 3 cm is 9 cm. So, Riverside and Smithville are 9 cm apart on the map.
Ratio and proportion:Important information:
The given scaling ratio is 3 cm : 18 km.Riverside and Smithville are 54 km apart.We need to find the distance between Riverside and Smithville in the map.
Let x cm be the distance between Riverside and Smithville in the map. The distance in the map and the actual distance are always proportional.
[tex]\dfrac{x}{54}=\dfrac{3}{18}[/tex]
[tex]x=\dfrac{3}{18}\times 54[/tex]
[tex]x=9[/tex]
Therefore, Riverside and Smithville are 9 cm apart on the map.
Find out more about 'Ratio and proportion' here:
https://brainly.com/question/11892195
1. The school office is now selling neon mechanical pencils. If the office pays $10.80 for a dozen pencils, how much should be charged to make a profit of 75 cents each?
2. Several cases of 16-ounce bottles of water were purchased for $252.00. If one case costs $7.00, how many cases were purchased?
3. Okolona College ordered jerseys to sell at the homecoming game. The college paid $9.25 each for 225 jerseys. Each jersey was sold for $15.75. What was the percent of markup for each jersey? How much profit was made if all of the jerseys were sold?
4. A truck traveled 654 miles on a long distance run. If the truck averaged 55 mph, how many hours did it take to reach the truck's destination? (Round to the nearest hour)
5. Della Riley borrowed $2400 for 6 months to invest in a business venture. If she agreed to pay 8% interest annually, how much will she be repaying?
6. It takes Dan an average of 45 minutes each evening to do his chemistry homework. Dan calculates that he worked a total of 3 hours on chemistry last week. Assuming that Dan worked his average time per evening consistently, how many evenings did Dan work?
7. Jon's car averages 20 mpg in town and 28 mpg on the road. What is the percent of decrease between the two driving conditions?
Answers:
1)10.80/12 =0.90
0.90+0.75=1.65
2)252/7=36 units
3)cost price = $9.25*225
= $2081.25
Selling price = $15.75*225
= $3543.75
Profit = Selling price - cost price
Profit = $3543.75 - $2081.25
=$1462.50
5) FV = L*(1 + rt),
Where FV is the amount to repay; L is the borrowed amount (the loan amount) and "r" is the annual interest as decimal; t is the time.
In your case L = 2400 dollars; r = 8% = 0.08 (as decimal) and t = 0.5 of a year (6 months).
Therefore,
FV = 2400*(1 + 0.08*0.5) = 2496.
In 6 months, Della Rilley must repay $2496
4) 654miles/55mph=11 hours, 53 minutes, 27 seconds ANS: ap.12 hours
time = distance/speed
6) 60*3=180mins
180/45=4
Ans: 4 days
7) This is a decrease of 8
a decrease of 28.57% rounded to two decimals
A(n) _________ states that two quantities either are not equal or may not be equal
a. Algebraic inequality
b. Compound inequality
c. Inequality
d. Solution set
Answer:
b. compound inequality
which of the following is the ratio of boys to girls in tamir's math class?
12/27
12/15
15/12
27/12
Answer:
12/15
Step-by-step explanation:
you put the number of boys over the number of girls
sometimes you can simplfy but it looks like the answer choice doens't want you too
2(y + 5)
use the distributive property to expand expressions.
Answer:
2(y+5)
Step-by-step explanation:
= 2y+10 simple multiplication method
Answer:
2y+10
Step-by-step explanation:
If you want to distribute 2(y+5), you're going to multiply y and 5 to 2
yx2=y2
5x2=10
Your answer should be 2y+10
(Hope this helps UwU)
Please help! ASAP! I will give brainliest!!
Tara works at a call center for a home shopping network. The table below shows the number of orders placed with the network per day based on the number of calls received per day by the network.
Number of Calls, x 200 250 300 350 400
Number of Orders, N 170 225 272 326 374
Which equation best models this set of data?
A. N = x2 - 27
B. N = -x2 + 27
C. N = -x + 27
D. N = x - 27
Answer:
c
Step-by-step explanation:
Answer:
its actually D
Step-by-step explanation:
hope this helps
In 1992, Jason bought a gallon of gas for $1.17. Yesterday, he bought a gallon of gas for $2.19. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A) 53.4%
B) 46.6%
C) 87.2%
D) 12.8
help again. thanks again for helping me. also take ur time.
Answer:
2
Step-by-step explanation:
-10*7.5+115=p
115-75=p
p=40
PLEaSE HELP THIS IS THE LAST ONEEE!!!!!1
Answer:
range-21
Step-by-step explanation:
Answer:
Step-by-step explanation:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Diego measured the length of a pen to be 22 cm.
The actual length of the pen is 23 cm.
What is the percent error for Diego’s measurement?
Explain or show your reasoning.
Please help 20 points
The number of kilograms that an object weighs varies directly as the number of pounds. If an object weighs 45 kilograms or about 100 pounds, about how many kilograms is an object that weighs 70 pounds?
Answer:
This is the specific answer: 31.7515
Answer: 31.5
Step-by-step explanation:
To solve this ratio problem, you need the common ratio. Divide the amount of pounds by the amount of kilograms.
Step 1: Divide 100 pounds by 45 kilograms
100 ÷ 45 = 2.2
This is the common ratio
Step 2: Divide 70 pounds by 2.2
70 ÷ 2.2 = 31.5
This is the amount of kilograms in a 70 pound object
Ms. Hassan plans to serve appetizers at her Christmas party. She plans on offering 8 appetizers for every 3 people. If she has 240 people RSVP to the Christmas party, then how many appetizers will she serve?
Answer:
I hope this is right. If not im sorry.
Step-by-step explanation:
240 / 3 = 80
80 * 8 = 640
640?
Answer: 640
Step-by-step explanation:
help me with this please
1. Atoms 2. electrons, 3. protons and neutrons 4. Static, 5. Gains.
PLEASE IM BEGGING YOU
Answer:b
Step-by-step explanation:
Find the total cost of an item after tax if the item is $75 and sales tax is 8%?
Answer:$81
explanation:
8% of 75 is 6
75+6= 81
Answer ($81)
if x = y then what is x don't answer that the among us code isTMZFUF
Answer:
lol ill join. mark this brainliest i triple dog dare you
Step-by-step explanation:
Brandon came home from school and informed his mother that he had volunteered to make cookies for his entire grade level.He needs 3 cookies for each of the 36 students in seventh grade. Unfortunately, he needs the cookies the very next day! Brandon and his mother determined that they can fit 96 cookies on two cookie shIs the number of cookies proportional to the number of cookie sheets used in baking?
Create a table that shows data for the number of sheets needed for the total number of cookies baked.
Number of pans
Number of cookies
2
36
4
72
10
180
16
288
The unit rate of x/y is __________.
Constant of Proportionality:_______.
Explain the meaning of the constant of proportionality in this problem?
Two pounds of peaches cost $4.50, 5 pounds cost $11.25, and 10 pounds cost $22.50. Show that the relationship between the number of pounds of peaches and the cost is a proportional relationship.
Y Cost
$4.50
X pounds
2
k=y/x Write an equation where y is the cost and x is the number of pounds.
Answer:
72
Step-by-step explanation:
find the value of (3/4)²
Answer:
9/16
Step-by-step explanation:
Answer:
9/16
Step-by-step explanation:
b
Please help me i would appreciate it
Answer: oh gosh, rlly bad at math... let me do the maths quick, and will edit my answer to the correct answer i dont have enough time, -7a+11
Step-by-step explanation:
Athena was completing a puzzle picture by connecting ordered pairs of points. Her next point is described below:
X-coordinate (-1)
Which ordered pair could be Athena's next point? (ASAP AND I WILL GIVE BRAINLIEST)
Answer:
I'm not sure but maybe (-1, 2)
Find the sum of the roots of the quadratic x^2 + 7x - 13 = 0
Answer:
-7
Step-by-step explanation:
You use the quadratic formula of [tex]ax^{2} +bx+c = 0[/tex] to get:
a = 1
b = 7
c = -13
then you plug that into x= (-b ± √b²-4ac)/(2a) :
x= ( -7 ± √7²- 4(1)(-13) )/(2(1))
[tex]x=-\frac{7}{2} + \frac{\sqrt{101}}{2} \\\\x=-\frac{7}{2} - \frac{\sqrt{101}}{2}[/tex]
The sum of these two x values turns out to be:
[tex]x=-\frac{7}{2} + \frac{\sqrt{101}}{2}+( -\frac{7}{2} - \frac{\sqrt{101}}{2} )= -\frac{14}{2} = 7[/tex]
Anybody need help with some work?
Don't feel like scrolling thru the thing so just put them here lol
Doesn't matter what subject.
Answer:
nope. im done with school :D
Step-by-step explanation:
Answer:
what is the word called for angles that form a straight line and are supplementary
If f(x) is a polynomial of degree 7, and g(x) is a polynomial of degree 7, then what is the product of the minimum and the maximum possible degrees of f(x) + g(x)?
Answer:
49
Step-by-step explanation:
f(x) + g(x) is also a polynomial of degree 7, so the answer is 7*7 = 49.
Answer:
49
Step-by-step explanation:
f(x) + g(x) is also a polynomial of degree 7, so the answer is 7*7 = 49.
A toy store’s percent of markup is 35%. A model train costs the store $200. Find the markup.
For each equation, what could you do first to each side of the equation so that there would be no fractions?
Select all the correct responses next to each equation.
[tex]\frac{3x+4}{8} = \frac{x+2}{3}[/tex]
o Multiply each side by 8
o Multiply each side by 30
o Multiply each side by 48
o Multiply each side by 24
o Multiply each side by 60
o Multiply each side by 12
A jar contains only pennies, nickels, dimes, and quarters. There are 29 pennies, 13 dimes, and 21 quarters. The rest of the coins are nickels. There are 91 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
Answer:
First Question: 63 coins are not nickels.
Second Question: 63+n=91
Step-by-step explanation:
For your first question: 29+21=50 and 50+13=63. 63 coins are not nickels.
For your second question: You can do 29+21+13+n=91, I just simplified and said 63+n=91. You can choose.
Hope that this helps! Good luck with what you're working on!
Answer:
63 coins are not nickels.
Equation to find n:
91 - 63
Or
91 - n
(Is this right I don't know, I'm trusting my hands right now)
What is 4 ÷ 3/5 plz help
Answer:
1 R5
Step-by-step explanation:
use a calculator (sorry if that sounds rude)
Answer:
1 R5 hope this helps!
I need one ratio equivalent to the ratio of white socks to brown socks. I already have 28/1 and I need one more
Answer:
14/10
21/15
Step-by-step explanation:
just found number equivalent to 7/5
Find the arc length of the partial circle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
please help!!
Answer:
1/2pi
Step-by-step explanation:
Since the formula for circumference is 2*pi*r and we know the R=1 so the of the whole circle is 2pi. This is a quarter of a circle so the answer is 1/2pi
Answer:
1/2pi
Step-by-step explanation:
I'm confused, is it A or D?
Answer:
D. x>7
Step-by-step explanation:
Multiply - and -3
x+3>10
Subtract 3 on both sides
x>7
(Remember you can only switch the symbol if you divide or multiply by negative it does not apply on addition or subtraction)
Hope this helps!
Answer:
It is D.
Step-by-step explanation:
Remove parentheses: x + 3 > 10
Subtract 3 from both sides: x > 10 - 3
Simplify 10 - 3 to 7: x > 7
What is the solution for -10 -19
A.)x > -19
B.)x -1
Answer:A
Step-by-step explanation:positive is bigger then negative.