Thomas decides to use the method of proportions and similar
triangles to find the height of a lamppost. He measures the length of
the post's shadow and finds it is 5 feet long. Then, he holds a 1-foot
ruler perpendicular to the ground and finds that it casts a 2-inch
shadow. How tall is the lamppost?
a. 2.5 ft c. 30 ft
b. 12 ft d. 60 ft
Answer:
The lamppost is 30 ft tall.
Step-by-step explanation:
You need to draw a diagram of the problem. Refer to attachment.
Now you need to convert the measurements that are in feet to in. The 1 foot ruler is now 12 in. and the 5 foot post's shadow is now 60 in.
The next step is to create a proportion between both angles. [tex]\frac{x}{1} =\frac{60}{2}[/tex]
x over 1 is simplified to x and 60 divided by 2 is just 30. So the lamppost is 30 ft tall.
Hope that helped. :)
Which inequality describes all the solutions to -3(4 – x) + 6 < 9 – 2x?
Answer:
To do inequalities, you just need to solve the equality and then figure out what side (higher or lower) the solution is on and put in the appropriate greater-than, less-than, greater-than-or-equal-to or less-than-or-equal-to sign.
Think about the equality for this one. What equation could we right for the average number of words per week that would put Trevor right at 50,000 after 5 weeks.
If we call the number of words per week, w, we would have
w = [an expression] (You find the expression using the number of words he has to write and how many weeks he has.)
Now think about the inequality. Trevor wants to finish in five weeks or less. So as long as he writes at least this number of words per week, he'll make it. That means we want a greater-than-or-equal to sign:
w ≥ [your expression]
Step-by-step explanation:
The inequality which describes all the solutions to the inequality is
x < 3
Given the inequality expression given as -3(4 – x) + 6 < 9 – 2x, we need to find the solution to the system of inequality as shown:
[tex]-3(4 -x) + 6 < 9 - 2x[/tex]
Expand the bracket
[tex]-3(4 -x) + 6 < 9 - 2x\\-12+3x+6<9-2x\\3x-6<9-2x\\3x+2x<9+6\\5x<15\\x<15/5\\x<3[/tex]
Hence the inequality which describes all the solutions to the inequality is
x < 3
Learn more here: https://brainly.com/question/15816805
The boundary line on the graph represents the equation
5x + 2y= 6.
Write an inequality that is represented by the graph.
Michael decided to make French toast. He finds a recipe that calls for the following ingredients:
FRENCH TOAST
8 slices of bread
4 eggs
2 cup of milk
1 teaspoon of cinnamon
Which of the following comparison statements describe how much milk is used for the slices of bread used (There are 2 correct answers)?
A.1/4 cup of milk for every 1 slices of bread
B.2 cup of milk for every 8 slice of bread
C.1 cup of milk for every 1 slice of bread
D.1 cup of milk for every 1/8 slice of bread
E.4 cups of milk for every 1 slice of bread
This question easy yall
Answer:d
Step-by-step explanation:
Answer: D)
When a figure is reflected across the y-axis, it's like using a vertical mirror. The figures should have an equal distance from the vertical line.
[6 × (4 − 2) + (21 × 2/3 + 1)] ÷ 3²
If you can, please explain.
Answer:
3
Step-by-step explanation:
Use BODMAS
solve the ones in brackets first followed by multiplication/division based on the order given
Answer:
3
Step-by-step explanation:
[6 x (4 - 2) + (21 x 2/3 + 1)] ÷ 3^2
[6 x 2 + (21 x 2/3 + 1)] ÷ 3^2
21 x 2/3 = 42/3 = 14
[6 x 2 + (14 + 1)] ÷ 3^2
[6 x 2 + 15] ÷ 3^2
[12 + 15] ÷ 3^2
27 ÷ 3^2
3 x 3 = 9
27 ÷ 9 = 3
Is this right? I chose 0.25. The other answers are 4, 0.5 and 2.
Answer:
its 0.25 or 2 one of those
Step-by-step explanation:
most likely 0.25 but
A math test has 12 multiplication problems and 24 division problems.
What is the ratio value of division problems to total problems? [Type your answer as a fraction in simplest form, and use / for the fraction bar.]
help help h e l p
Answer:
2 : 1
Step-by-step explanation:
24 to 12
divide by 12
2 to 1
its just simplifying
Answer:
2:1
Step-by-step explanation:
Enola spent $48 at a used book store where hardback books sell for $12 each and paperback books sell for $8 each.
A. Write an equation in standard form where x represents the number of hardback books and y represents the number of paperback books she bought that day:
B. If she bought 2 hardback books how many paperback books did she buy?
Answer:
A. 48= 12x + 8y
B. 3 paper back books
Step-by-step explanation:
A. If x represents hardback book, and they are $12 each then that is 12x. y = the paperback books that are $8 each, so 8y. and 48 is the amount that Enola spent.
B. 2 hardback books would equal $24. If you had 3 paperback books that would equal $24. And the two together to get the total amount of $48.
HELP AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
x + 2x + 12y + 4
What are the variables of this expression?
Answer:
3x+12y+4 -- is the simplified version, variables would be x and y
In the town of Clover, 3 out of 5 citizens who are eligible to vote did so in the fall election. Determine the number of citizens that were eligible to vote in the fall election if 180 actually voted
Answer:
108
Step-by-step explanation:
Because 3/5(180) is 108!
Answer:
60 citizens
Step-by-step explanation:
i may be wrong but I think thsi because 180 divided by 3 = 60
The population of a town can be modeled by f(x) = 17,200 * 1.1^x. Identify the initial value of the population. Is the population increasing or decreasing? What is the growth or decay factor? How does the population change each year?
Answer:11
Step-by-step explanation:
11
Henry divided his socks into five groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s=20?
A. S/5; when s=20, the number of socks in each group is 4.
B. S/5; when s=20, the number of socks in each group is 15.
C. S-5; when s=20, the number of socks in each group is 4.
D. s-5; when s=20, the number of socks in each group is 15.
Pls help
Answer:
A
Step-by-step explanation:
If Henry has 20 socks and he split them into a group of 5, he would have 4 socks in each group. To solve this equation you must divide the number of socks by the number of groups. Once you do this, you will get the number of socks in each group.
Answer:
a
Step-by-step explanation:
Select Four answers.
2/12
1/4
2/8
6/12
4/16
3/12
Answer:
What theres no question in this?
Step-by-step explanation:
Pls help....due 11:59 do (not do numbers 1,2,3,4,6,9,11, and 12)
Answer:
5-24.97
7-92.31
8- -14.16
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) 8.53
2) -10.46
4) -5.05
5) 24.97
7) 92.31
8) -14.16
10) 6.42
11) 14.64
13) 6.7
14) 9.9
A recipe calls for 11 tablespoons of milk for every 16 cups of flour. If the chef puts in 80 cups of flour, how many tablespoons of milk must the chef add?
Answer:
40
Step-by-step explanation:
The marine needs 14 boats for the 42 people registered for a boat race. How many boats will they need for 6 people?
Answer:
2
Step-by-step explanation:
We can write a proportion to determine
42 people 6 people
---------------- = ----------------
14 boats x boats
Using cross products
42x = 6*14
42x =84
Divide each side by 42
42x/42 = 84/42
x = 2
They will need 2 boats
An animal gained 4 pounds steadily over 8 years. What is the unit rate of pounds per year?
Answer:
Step-by-step explanation:
4/8 = .5 pounds/year
Amelia needs to buy some cat food.At the nearest store,5 bags cost $28.75.How much would Amelia spend on 2 bags of cat food? Amelia would spend $ on 2 bags of cat food.
Answer:
$11.50
Step-by-step explanation:
Create a proportion using the form = to represent the following word problem.
78% of what number is 42?
PLEASE HELP!!
Write an equation to represent the following statement.
51 divided by 3 is k.
Solve for k.
Answer:
51 divided by 3 is 17
Step-by-step explanation:
Hope this helps
A store sells a hoodie for $45, the sales tax rate in this state is 8%. What is the total price with sales tax applied?
What is the difference of 16.43 – 1.043?
A 10.387
b 15.387
C 15.630
Answer:
B
Step-by-step explanation:
Just subtract
16.43-1.043=15.387
You can estimate to make it easier. :D
Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5% and he left a 20% tip after the tax was added.
Answer:
$8.82
Step-by-step explanation:
I need help with this question.
Help needed!!!!!!!
Answer:
32
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
The answer is A because the possibilities of the possibility that the answer is 'A' is just another possibility, so you just have to trust that possibility of a possibility and answer A ;)
Stacy and Neil painted 280 ft2 of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 4 gallons of paint?
Answer:
56
Step-by-step explanation:
Divide 280 by 4/5 and get 14 then multiply by 4 and get 56
Answer:
1400 ft2
Step-by-step explanation:
if 280 ft2 comes from 4/5 of 1 gallon of paint, then do 280 x 4, because their are 4 gallons of paint. after you x that it will be 1120 ft2. but the extra 1/5 paint from all 4 of the gallons comes out to 4/5 so add 280 ft2 to that 1120 ft2.
it comes out to 1400 ft2.
Derrick really wants to earn at least $330 at the Bike Shop. He earns $150 per week plus $15.50 for each bicycle that he assembles. How many bikes will he need to assemble this week in order to earn at least $330? (be careful when rounding in a real world problem to make sure that your answer works) Question 1 options: 10 bikes , 11 bikes , 12 bikes , 13 bikes
Answer: He will need to assemble 12 bikes, because 12 x 15.50 = $186 and $186 + 150 = $336
Step-by-step explanation: Don't need one :)) it's basic math
Please help with homework
For A the answer is 40
Sorry I could only find find for A
Could you give brainliest
This is the last one for now I promise... - w -
the question is below.
Answer: y= x +3
1) find slope using rise over run. Find your coordinates. I used (-3,0) and (0,3). Rise over run with these values : 3-0/0- -3. You should get 1 as a slope after adding and simplifying. Y=1x+b is your equation. Plug in your y and x values to the equation: 3= 0x1 +b. Multiply: 3= 0+b. B is 3( your y intercept). The equation is y=x+3
Answer:y =4,-6 hope this helps you i do my best to helps you and if it did say thanks and if you have anymore questions feel free to ask and plz rate me brainest if it did have a good night
Step-by-step explanation:
[PICTURE ATTACHED] sigh, another variability one. if u get it correct, i’ll make you brainliest! :’)
Answer: B
Step-by-step explanation:
Option B
How many books have each of my classmates read this year?
Step-by-step explanation:
Every year the number of books each classmate read would be different