Answers
9514 1404 393
Answer:
5 units
Step-by-step explanation:
In this geometry, all of the triangles are similar. So, the ratio of short side to long side can be ...
x/10 = 10/4x
4x^2 = 100 . . . . . cross multiply
x^2 = 25 . . . . . . . divide by 4
x = 5 . . . . . . . . . . square root
Related Questions
If a stone tower is 15 meters tall and casts a shadow 8 meters long, then how long of a
shadow will be cast by a nearby radio tower that is 60 meters tall?
Answers
Answer:
32 meters long (please double-check! sometimes ppl make mistakes)
Step-by-step explanation:
the ratio of height to shadow length is 15:8, as established in the first sentence. if both sides of the ratio are multiplied by 4 then the ratio becomes 60:32.
more in depth:
if you think of it as fractions (which ratios can be written as) multiplying both the numerator and denominator by four is the equivalent of multiplying by 4/4 aka 1 so the value still stays the same (one times something is the same thing). since the ratio of height to shadow length is constant we needed to solve for the ratio in which the height is 60, so multiply each side by 4 (aka 60 divided by 15) to find the new ratio, 15(4):8(4) or 60:32. the ratio 60:32 describes height to shadow, so while the height is 60 (said in the problem) then the shadow length is 32. adding units, the answer would be 32 meters.
Distributive Method
(2x+3)(x
Answers
Answer
(2x + 3)=x+7
2x+3=x+7
2x-x=7-3
1x=4
HAVING A BAD DAY HELP
Christine bakes 20 cookies every half hour. Charlie sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 AM until noon?
Answers
Answer:
12
Step-by-step explanation:
The number of cookies that are left unsold if they work from 6:00 AM until noon is 12.
Cookies baked per hour by Christine = 20*2 =40
Cookies sold per hour by Charlie = 38
How many hours will be there between 6:00 AM and noon?There will be 6 hours between 6:00 AM and noon.
So, Cookies baked by Christine in 6 hours = 40*6 =240
Cookies sold by Charlie in 6 hours = 38*6 =228
Number of unsold cookies =240-228 =12
Hence, the number of cookies that are left unsold if they work from 6:00 AM until noon is 12.
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11 times what is 93.5?
Answers
Answer:
11 x ___ =93.5
___ = 93.5 ÷ 11
= 8.5
Answer:
93.5/11 = 8.5
Step-by-step explanation:
Helllppp 10 pts plss
Answers
2) y = -0.73x - 1.36 (rounded to nearest hundredth)
3) y = 4x + 15
4) y = (3/4)x - (13/2)
5) y = 3x + 5
6) y = -2x - 4
Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
Answers
Answer:
y = -5
Step-by-step explanation:
Step 1: Translate
"Sum" is addition
"a number y" is y
"-3" is -3
"is -8" means equal to -8
Step 2: Set up equation
y + -3 = -8
Step 3: Solve for y
Simplify: y - 3 = -8Add 3 to both sides: y = -5Please help, I will mark brainliest.
Answers
Answer:
(2,1)
Step-by-step explanation:
Answer: It's (2,1)
Step-by-step explanation:
I need help with this
Answers
When solving the system of equations, x + 2y = 15 which expression could be substituted 5x + y = 21for x in the second equation?
Answers
5 x 3 = 15
15 + 6 = 21
3 + (2 x 6) = 15
15 points :) and ill mark brainliest
Answers
Answer:
y = − 2 x − 8
Step-by-step explanation:
Write in slope-intercept form, y = m x + b .
Answer:
Step-by-step explanation:
because you subtract both the y and x axsis then devide them
10-8 2
------- = ------ = 0.2
1 +8 9
The points represented by the table lie on a line.
Х
- 4
-3
-2
-1
y
2.
-5
-12
-19
What is the slope of the line?
Answers
The points represented by the table lie on a line, then the slope of the line would be; 3.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Since the Slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.
Using any two pairs from the table of values given which are; (-4, 2) and (-3, 5):
[tex]m = \dfrac{y-q}{x-p}[/tex]
Now Plug the value into the slope formula:
m = (5 - (-4))/ (5 - 2)
m = 9/3
m = 3
Therefore, the slope of the line would be; 3.
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Gavyn was thinking of a number. Gavyn halves the number and gets an answer of 44. Form an equation with x from the information.
Answers
Answer:
The equation
(x/2) = 44
The answer
x = 88
can someone help me figure this out please?
Answers
Answer:
Subtract 7 from both sides
Step-by-step explanation:
The first step is to collect all the whole numbers to isolate the variable.
You spend of an 4/5 of an hour on your homework. You spend 1/2 of that time working on your science homework.
How many minutes do you spend working on science homework?
Answers
Answer:
you spend ethier 3/10 or you spend 5/10
Step-by-step explanation:
try it. because u can only add or subtract with like denominators.
24 minutes are spent working on science homework.
What is the unitary method?The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.
Given,
time spend for homework is
4/5 hours = 4/5×60 = 0.8×60 = 48 minutes
if 1/2 of this time is spent on working science homework
48×1/2= 48×0.5= 24 minutes
Hence, the total minutes spent, working on science homework is 24 minutes.
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Julie found a shoe sale. She bought 8 pairs of shoes for a total of $45.50. She decided to buy 5 pairs of shoes for her sister as well. If all the shoes cost the same, how much money will she spend on shoes?
Answers
Step-by-step explanation:
72 i rounded it to that
653500 to the nearst thousand
Answers
Answer:
654000Step-by-step explanation:
653500
5 and over makes the number to the left 1 number
654000
Step-by-step explanation:
654,000 is the answe
what is wrong with the equation?
Answers
Answer:
x = 3
Step-by-step explanation:
We don't know what equation you think is wrong.
__
The solution to the problem is ...
x/2 +x/6 = 2
x(1/2 +1/6) = 2 . . . . working using the given fractions
x(3/6 +1/6) = 2
x(4/6) = 2
x(2/3) = 2
x = (3/2)(2)
x = 3
__
We can also work this by eliminating fractions first.
x/2 +x/6 = 2
3x +x = 12 . . . . multiply the equation by 6
4x = 12 . . . . . . .collect terms
x = 3 . . . . . . . . .divide by 4
quick Solve by elimination 4. -6x-y= -17
-2x-3y= -3
Answers
Answer:
Step-by-step explanation:
18x + 3y = 51
-2x - 3y = -3
16x = 48
x = 3
-2(3) - 3y = -3
-6 - 3y = -3
-3y = 3
y = -1
PLAY AMOUNG US WITH ME PLZ FAZWQ
Answers
Answer:
OKAY!! :D
Step-by-step explanation:
Answer:
sorry cant
Step-by-step explanation:
Eric goes to the grocery store to buy apples so that he can bake an apple pie He can buy 2 apples for $150 or 6 apples
for $4.50
Answers
Answer:
mm
Step-by-step explanation:
,l
Answer:
6 apples ofc
Step-by-step explanation:
Which of the following quadrilaterals are similar?
Answers
i see nothing what do you mean
Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?
1. How loud a sound is depending on how far away you are
5 85
10 79
20 73
40 67
b. The fountain drinks at hot dog hut.
16 1.49$
20 1.59$
30 1.89$
Note: All of these are tables which you have to find out the constant of proportinolity.
Extra points for good answers!
Answers
Step-by-step explanation:
Table B has a proportionality relationship.Treat the values in table as (x,y) values to be plotted on a graph tool.The result is a linear function with a positive slope of 0.030.The constant of proportionality is 0.030.Given;
Volume cost($)
16 1.49
20 1.59
30 1.89
Then you have ordered pairs of points as (16,1.49) ,(20,1.59), (30,1.89) .Using a graph tool, the results is a linear graph. Find the slope of the graph as;
m=Δy/Δx
For points (16,1.49) ,(20,1.59)
m=1.59-1.49/20-16
m=0.10/4 = 0.025
You notice that the expression for the relationship is;
cost($)= 0.025* Volume +1.09
y=0.025x+ 1.09 where the y-intercept is obtained by extrapolation of the line.
Plz help and Thank you :/
Answers
Answer:
ok that is correct because you start with 25 and then add 9 each week so 25+9w
Step-by-step explanation:
Whats larger 3/10 or 10/33
Answers
Answer:
3/10
Step-by-step explanation:
just because the numerator is bigger dosent mean it is bigger so its 3/10
The table shows the results of a survey of students. The survey asked the students whether they have a job and whether they have a car.
Job No Job Total
Car
38
22
60
No Car 16
18
34
Total
54
40
94
What percentage of the students in the survey have a car?
O A 22%
O B. 38%
OC. 40%
OD. 60%
dhe
O E 64%
Answers
Answer:
It’s E. 64%
Step-by-step explanation:
Based on the number of people who had a car and the total number of people surveyed, the percentage is E. 64%
Percentage of those with carsThe percentage of students with a car is:
= Number of students with cars / Number of students in total x 100%
Solving gives:
= 60 / 94 x 100%
= 63.8%
= 64%
In conclusion, option E is correct.
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What is the slope of the line?
y-4=-7(x-6)y−4=−7(x−6)
Answers
Answer:
-7
Step-by-step explanation:
That's what Khanacademy says
Answer:
-7
Step-by-step explanation:
I got it right
HELP HURRY. What is the sum when you simplify the expression 3 + (-4)?
Answers
Answer:
-1
Step-by-step explanation:
2895÷229=
PLZ RIGHT WITH WHOLE NUMBER AND REMANDER
---
R:
Answers
Answer:
12 R 147
Step-by-step explanation:
Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4
Answers
Answer:
20
Step-by-step explanation:
Use PEMDAS
P = parenthesis
E = Exponents
M = Multiplication*
D = Division*
A = Addition**
S = Subtraction**
*either can come first, it just depends which comes first in the equation.
**either can come first, it just depends which comes first in the equation.
Step 1 : Write equation 4( 9 × 2 ) ÷ ( 4 -1 ) - 4
Step 2: Solve in parenthesis 4(18) ÷ (3) - 4
Step 3: Solve multiplication 72 ÷ 3 - 4
Step 4: Solve division 24 - 4
Step 5 : Solve subtraction 20
The simplified answers is -22.
What is order of operation?The order of Operations is the rule in math that states we evaluate the parentheses/brackets first, the exponents/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first). In math, there might be several operations to be done while evaluating an expression, and simplification at the end yields different results. However, we can only have one correct answer for any sort of expression. To identify the correct answer we simplify any given mathematical expression using a certain set of rules. These rules revolve around all the basic operators used in maths. Operators such as addition (+), subtraction (-), division (÷), and multiplication (×).
The order of operation can be termed as BODMAS.
Given:
4 + (9∙2) ÷ (4 - 1) - 4
=4+ (18) / (3)- 4
=22 / -1
=-22
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2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number. help me in number 2 and 3 please
Answers
this is the first answer