When the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.
How to illustrate the information?It should be noted that from the information, Antonio knows that a antenna that is 16 meters tall casts a shadow that is 30 meters long and he wants to calculate the height of a nearby pole.
Let the height be x.
Therefore, this will be illustrated as:
16 / 30 = x / 45
Cross multiply.
30 × x = 45 × 16
x = (45 × 16) / 30
= 24
Therefore, when the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.
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Solve the equation 6x +2y = 10 for y in terms of x gives what function?
y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5
Answer:
y = - 3x + 5
Step-by-step explanation:
Given
6x + 2y = 10 ( subtract 6x from both sides )
2y = - 6x + 10 ( divide all terms by 2 )
y = - 3x + 5
The correct equation for y in terms of x would be, y = - 3x + 5
Hence, option 2 is true.
Used the concept of an equation that states that,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
6x + 2y = 10
Now, simplify the equation for y in terms of x as,
6x + 2y = 10
Subtract both sides by 6x,
2y = - 6x + 10
Divide both sides by 2,
y = - 3x + 5
So, The correct equation would be, y = - 3x + 5
Thus, option 2 is true.
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what is 2+3 and how do you solve that answer
Answer: 5
Work: I just did mental math, but the proper way to do it is to get a number line, and put a dot at 2. Since you need to move three spots ahead, you move the dot three times to the right, and it will land on 5.
I hope this helps, and Happy Holidays! :)
I need help!! Which is correct???
Answer:
D
Step-by-step explanation:
The domain of this graph is (-infinity, +infinity) and the range is y > 0.
It is not always increasing, it actually keeps on decreasing as it gets closer to its horizontal asymptote.
Answer: D
What is the equation in slope intercept form of a line that passes through the point (-3,-11) and is parallel to the line y=2x-4?
Step-by-step explanation:
hey i hope this helps idk if its clear enough but yeah
Let f (x) = -5x + 4. Write a function g whose graph is a reflection in the y-axis of the graph of f.
If the function is reflected across the yaxis of the graph of f, the resulting function will be g(x) = 5x + 4
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is reflected in the y-axis, the resulting function will be g(x) = -f(x)
Given the function f(x)=|x|-3, if the function is reflected in the y-axis of the graph of f.f, the resulting function will be;
g(x) = f(-x)
g(x) = (-5x) + 4)
g(x) = 5x + 4
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HELPPPPPPP MEEEEEE PLSSSSS!!!!!!
show working
Answer:
The value of x depends on the amount the length is going to run to.
Step-by-step explanation:
Write y = 2/5 x+ 5 in standard form
Answer:
-2x + 5y = 25
Step-by-step explanation:
At a birthday party, there is a rubber ducky game for children to play. The goal of the game is to randomly pick a duck out the pool that has an EVEN number on the bottom of it. There are a total of 62 ducks and 40 of them have even numbers on them. approximately, what percentage of ducks have even numbers on them?
A. 65%
B. 40%
C. 35%
D. 60%
Answer:
A
Step-by-step explanation:
40/62=.645 then move the decimal over 2 spaces
Answer: 65
Step-by-step explanation: 40/62 = .645•100= 65
I think of a number, multiply it by three, and add four. I get twenty two.
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
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Struggling, need help solving and a double check lolz
Answer:
Hello,
answer d
Step-by-step explanation:
I deduced yes.
So 3r+12=4r-2 ==> r=14
And m angle 1+m angle2=7r+10=7*14+10=108
answer d
The Demir family has a monthly budget of $5,500. Mrs. Demir works fulltime and takes home $4,000 each month. Mr. Demir works part-time and brings home earns $16 per hour. How many hours per month must Mr. Demir work at his part-time job to make sure that he and Mrs. Demir have met their monthly budget?
Answer:
93.75 hours
Step-by-step explanation:
The Demir family has a monthly budget of $5,500. Mrs. Demir works fulltime and takes home $4,000 each month.
Hence, the amount of money Mr Demir is meant to bring at the end of the month is :
Monthly budget - Amount of money that Mrs Demir takes home
= $5,500 - $4,000
= $1,500
From the question, we are told that:
Mr. Demir works part-time and brings home earns $16 per hour. How many hours per month must Mr. Demir work at his part-time job to make sure that he and Mrs. Demir have met their monthly budget?
This is calculated as:
$16 = 1 hour
$1,500 = x
Cross Multiply
16 × x = 1500 × 1
x = 1500 /16
x = 93.75 hours
Therefore, Mr Demir must work for 93.75 hours in a month at his part time job.
Hello I hope you are doing well . i have a question lease could you answer it with the explication thanks:
this is the question
A pet store sold 49 siamese cats. If the ratio of siamese cats to house cats sold was 7:4, what is the combined amount of cats sold?
total cars
Answer:
uyygfhuittyuuuujhhtyyuiiyyuuu
what is The “Big Stick Diplomacy"
Answer:
"Big Stick diplomacy is the policy of carefully mediated negotiation ("speaking softly") supported by the unspoken threat of a powerful military ("big stick")."
Step-by-step explanation:
(nationalgeographic)
Answer:
refers to President Theodore Roosevelt's foreign policy
Step-by-step explanation:
speak softly and carry a big stick; you will go far." Roosevelt described his style of foreign policy as "the exercise of intelligent forethought and of decisive action sufficiently far in advance of
Write the equation in slope intercept form of line picture in the grapo
Answer:
y = 3/2x+5
Step-by-step explanation:
Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are both right triangles. No, the triangles share side XZ. No, there is only one set of congruent sides.
Answer:
Yes, they are congruent by SAS.
Step-by-step explanation:
Answer:
Yeah your answer would be A. Yes, they are congruent by SAS!
hope this helps :D
Step-by-step explanation:
There are 2.54 cm in 1 inch. they are 100 cm in 1 m, to the nearest meter, how many meters are in 474 inches
Multiply total meters by 100 to get total centimeters:
6 meters x 100 = 600 centimeters.
Now divide total centimeters by 2.554 to get total inches:
600 centimeters / 2.54 = 236.22 inches.
Rounded to the nearest inch = 236 inches.
Two ferries just departed from their docks at the same time. Ferry A departs every 1.2 hours. Ferry B departs every 1.8 hours. How long will it be until both ferries depart from their docks at the same time again?
Answer: It will take 36 minutes(0.6 hour) until both ferries depart from their docks at the same time again.
Step-by-step explanation:
Given : Ferry A departs every 1.2 hours.
Ferry B departs every 1.8 hours.
To find : Time taken by both ferries until they depart from their docks at the same time again.
= LCM (1.2, 1.8) hours [LCM= Least common multiple]
= LCM (1.2(60 minutes), 1.8(60 minutes)) [Since 1 hour = 60 minutes]
= LCM (72 minutes, 108 minutes)
72 = 2 x 2 x 2 x 3 x 3 , 108 = 3 x 3 x 3 x 2 x 2
LCM (72,108) =2 x 2 x 3 x 3 =36
So, it will take 36 minutes until both ferries depart from their docks at the same time again.
In hour = [tex]\dfrac{36}{60}\text{ hour}=0.6\text{ hour}[/tex]
Find 12 ÷ 3/5. Show or explain your reasoning.
Enter the phrase as an algebraic expression.
The sum of 5 and 2 times b
Answer:
2b+5
Step-by-step explanation:
its sum of 5 and 2b
2b+5
hope this helps :D
Answer:
2b+5
Step-by-step explanation:
since it says the SUM of 5 and 2 times b it means that 2b+5 is the anwser
In a certain chemical, the ratio of zinc to copper is 4 to 15 . A jar of the chemical contains 480 grams of copper. How many grams of zinc does it contain?
The grams of zinc the jar of chemical contain is 128 grams
How to find the number grams of zinc ?In a certain chemical, the ratio of zinc to copper is 4 to 15 .
Therefore, a jar of the chemical contains 480 grams of copper.
The grams of zinc in the jar as follows:
Hence,
ratio of zinc to copper = 4 : 15
Therefore,
let
x = total grams in jar
Hence,
480 = 15 / 19 x
15x = 480 × 19
15x = 9120
x = 9120 / 15
x = 608
Therefore,
amount of zinc = 4 / 19 × 608
amount of zinc = 2432 / 19
amount of zinc = 128 grams
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What translation of circle R shows that R is congruent to circle S
Answer:
it's 4.
Step-by-step explanation:
4 is the correct answer
if i flip a coin 4 times what is the probability of getting at least 1 head
Answer:
at least 80%
Step-by-step explanation:
Please answer it’s due tonight i’ll make brainiest answer and heart it
Answer: x° is 50°
Step-by-step explanation: The sum of the exterior angles of a polygon is 360.
Add the given exterior angles:
35+50+20+125=230
to find the missing exterior angle, supplementary to x°,
Subtract 360 - 230 = 130
The Sum of Supplementary angles is 180°
x° + 130° = 180°
x = 50
Please help me! 30 points!
Answer:
Step-by-step explanation:
the in this picture is the 3rd one
please help me! ill mark brainliest
Answer:
1. x=2 2. x-19/2 3. x=-2 4.=3
Step-by-step explanation:
A proportional relationship is graphed on the coordinate plane. The line that represents the relationship passes through points (0, 0) and (5, 10).
What is the unit rate of the proportional relationship?
Answer: I think its D. 1:5
Step-by-step explanation:
but im not surr
If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?
Answer:
$2656
Step-by-step explanation:
6.25% of $10,624 is $664, so that is the amount of interest every year.
$664 times 4 is $2656, so after 4 years $2656 will have been paid.
Solve the linear system by using Substitution. Enter your answer as an ordered pair.
y = x + 2
2x + y = 8
Answer: {y,x} = {4,2} ) ) ) )4
Step-by-step explanation: y
[2] y = -2x + 8
// Plug this in for variable y in equation [1]
[1] (-2x+8) - x = 2
[1] - 3x = -6
// Solve equation [1] for the variable x
[1] 3x = 6
[1] x = 2
// By now we know this much :
y = -2x+8
x = 2
// Use the x value to solve for y
y = -2(2)+8 = 4
Solution :
{y,x} = {4,2}