Answer:
The constant of proportionality = k = 2/5
Step-by-step explanation:
Given that a garden hose fills a 2-gallon bucket in 5 seconds.Also given that The number of gallons, g (/), is proportional to the number of
seconds, t (x).
i.e.
g ∝ t
g = k × t
k = g / t
as
g = 2
t = 5
Thus,
k = g / t
= 2 / 5
Thus, the constant of proportionality = k = 2/5
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of a gallon of gas to go 1 mile.
How far can the car travel with 15 gallons? Show your reasoning.
How much gas does the car use to go 100 miles? Show your reasoning.
HELP ME PLEASE THIS QUESTION IS WORTH 65% OF MY GRADE!!!!
Answer:
20 gallons hope this helped
Help please !! Right answer
Answer:
6^10
Step-by-step explanation:
Answer:
6¹⁹
Step-by-step explanation:
2 + 11 + 3 = 6¹⁹
what are the x and y intercepts of the function??
Answer:
first one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
x-intercept is (-4,0)
y-intercept is (0,-3)
Solve the system.
-2x + 1/2y
= 3/2
x - зу
= 2
Find the value of 'x'.
Answer:
x = -1
Step-by-step explanation:
i multiplied the first equation by 2 to eliminate the fractions and got:
-4x + y = 3
used substitution method: y = 3 + 4x
x - 3(3 + 4x) = 2
x - 9 -12x = 2
-11x = 11
x = -1
There are only red counters and blue counters in a bag. The ratio of red counters to blue counters is 5:4. There are 27 blue counters. How many red counters are there?
Answer:
33.75 red counters
Step-by-step explanation:
Given the ratio of the red counters to blue counters as 5:4. The total ratio will be 5 + 4 = 9
If there are 27 blue counters in the bag, the total amount of counters there will be gotten using the expression;
4/9 * x = 27
x is the total counter in the bag.
4x/9 = 27
4x = 9*27
x = (9*27)/4
x = 60.75
The amount of red counters there will be
red counters = Total - blue counter
red counter = 60.75 - 27
red counter = 33.75 red counters
What is the image of the point (2,3) after the transformation Ry-axis?
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Tom is buying topsoil for the flower bed shown below. One bag of topsoil covers 151515 square meters. How many bags of topsoil does Tom need to cover his flower bed?
Answer:
2 bags of topsoil.
Step-by-step explanation:
The attached figure shows a flower bed.
One bag of topsoil covers 15 square meters.
We need to find how many bags of topsoil does Tom need to cover his flower bed.
The area of the flower bed is :
[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]
Let he has to cover x bags of topsoil. So,
x = Area of flower bed/Area of 1 bag of top soil
x = 30/15
x = 2
Hence, he will need 2 bags of topsoil to cover his flower bed.
I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Answer: 6
Step-by-step explanation:
Let the number be x
If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:
(2 × x) + 5 = (3 × x) - 1
2x + 5 = 3x - 1
5 + 1 = 3x - 2x
x = 6
The number you are thinking of is 6
A contractor purchases 5 dozen pairs of padded work gloves for $67.20. She incorrectly calculates the unit price as $13.44 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
13.44
Step-by-step explanation:
she is right...........
Answer:
The correct unit price is $1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).
Step-by-step explanation:
The contractor should have calculated the unit price as $67.20 divided by 60 pairs. Five dozen pairs is 5x12=60. This results in $67.20/60=$1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).
What is the value of x?
A 42
В.50
C. 68
D. 70
A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90° angles, what is the measure of the missing corner?
What is the length of the unknown side of the right triangle? (1 point)
A) 21
B) 29
C) 400
D) 441
Answer:
The answer is a
Step-by-step explanation:
find the exact perimeter of square whose side length is 5∛16 cm
Answer:
P = 50.39 cm
Step-by-step explanation:
It is given that,
The side of a square, a = 5∛16 cm
We need to find the perimeter of the square.
Perimeter = sum of all sides.
All sides of a square are equal. Its perimeter is given by :
P = 4a
[tex]P=4\times 5\sqrt[3]{16} \\\\P=50.39\ cm[/tex]
So, the exact perimeter of the square is 50.39 cm.
Find the measure of each acute angle.
(3x + 2)∘ = and x∘ =
Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)
Thus:
[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)
Solve for the value of x[tex]x + 3x + 2 + 90 = 180[/tex]
Add like terms[tex]4x + 92 = 180\\\\[/tex]
Subtract 92 from each side[tex]4x = 180 - 92\\\\4x =88[/tex]
Divide both sides by 4x = 22
Measure of one of the acute angles is 22 degrees.
To find the second acute angle measure, substitute the value of x
3x + 2 = 3(22) + 2 = 68 degrees
Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
Learn more here:
https://brainly.com/question/347922
What value of x is in the solution set of 2(3x – 1) > 4x – 6?
It could only be the following :
A. -10
B. -5
C. -1
D. -3
Answer:
-1
Step-by-step explanation:
Given the equation :
2(3x – 1) > 4x – 6
Open the bracket :
6x - 2 > 4x - 6
Collect like terms
6x - 4x > - 6 + 2
2x > - 4
Divide both sides by 2
2x /2 > - 4/2
x > - 2
Since x > - 2
-10, - 5, - 3 are all < - 2
Hence, the only option greater than - 2 is - 1
What function equation is represented by the graph?
f(x)=−4x−3
f(x)=1/4x−3
f(x)=−1/4x−3
f(x)=1/4x+3
Answer:
f(x)=1/4x-3
Step-by-step explanation:
y=mx+b
y-intercept is -3
-3=b
rise over round to find the slope
up 1 over 4
m=1/4
Which graph represents the inequality? 2x+y>4
m=-2
b=4
Slope=-2x+4
y<-2x+4
At a day care center a researcher asks children to list their five favorite toys from most favorite to least favorite. What level of measurement is represented in this example
Answer:
Ordinal
Step-by-step explanation:
The ordinal measurement level means the arrangement of the number so that it could tell the position of something in the list
Since in the question it is mentioned that the day care center ask the children for listing their five favorite toys and the arrangement could be done from most favorite to least favorite
So this represent the ordinal measurement level
PLEASE HELP!! will give brainliest. answer choices and question are in the photo.
Answer:
-17,-6and 1,-6
Step-by-step explanation:
A study showed that the ratio of the number of people who get their news from social media to the number of people who get their news from other sources is 3:7. Based on this ratio, how many people in a town of 900 get their news from social media? *
Charles a shirt that was originally priced $13 he received a $2.60 discount what percent discount did Charles receive
Answer: I Believe 15%, But I'd Double Check.
If u go to school u should know that!,, ( WHO IS GETTING POINTS TODAYYY???!! )
Answer:
D. twenty-eight and nine tenths
Temperature at 8AM was -8°. The temperature at 8 PM is 3º.
What is the change in temperature from 8 AM to 8 PM?
Answer:
11
Step-by-step explanation:
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.
Answer:
(4,-2.5)
Step-by-step explanation:
because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point
Answer:
-3,-4.5
Step-by-step explanation:
8
9
10
3
4
5
A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form
Answer:
60%
Step-by-step explanation:
add them all to 20
add 7 and 5 to get 12
12 over 20 is 60 percent
i need an opinion, my other note is in anouther question. what do y'all think.
Dear Chelsea
I'm tierd of you scraching me
I mean I love you can't you see
You may not see it but your rude to Sue
you tell me a secret like the one about you know who
Do you like to hurt Sue and me
Dose it make very you happy
I'm done with all the disrespect
I always helped you last I checked
I'm always there for you
I have fun doing all the things we do
I love you like my own child
Evan though you're a little wild
Your pretty and strong
Your hair is not so long
But what do I care
I mean it's your hair
I geuss what I'm trying to say
Is that no matter what you do ill still love you anyway
You are my little cousin more like a sister
And I hope to be there when you get your mister
I may not always be there
But I want you to know I still care
So as I look up at the sky
I write this not to say goodbye
Answer:
good job its very good
Step-by-step explanation:
Pls help
Identify the domain of the function shown in the graph.
A. -7
B. x<0
C. x is all real numbers.
D. Y=15
Answer:
B.x<0 cs u useing easy steps
Work out the value of x.
4X - 57
3x + 25
3x + 15
2x - 3
4x
The diagram is not drawn to scale
*EASY* Solve with steps! *WILL MARK BRAINLIEST*
Answer:
OK I will If u need any math help just ask me!!
Step-by-step explanation:
Have a wonderful day!!!
Answer:
i can help you with math i have an A+ currently and i would love yo help you. have a good day!
Pls help I need to finish this
Answer:
Check box 4 and 5
Step-by-step explanation:
We know there can only be up to 2 solutions for a quadratic equation.
5x^2-2x-9=0 is your equation, make sure to move that 1 to the left
Now we can use the quadratic formula
a=5
b= -2
c= -9
x= −1.15647
x=1.55647
Thus I would select the last 2 boxes. Both of them are solutions.