Answer:
The big container holds 30 gallons and the small container holds 20 gallons
Step-by-step explanation:
Let
The big container = x
Small container = y
The big container can hold 10 gallons less than twice the small
x = 2y - 10
Total gasoline in both containers = 50 gallons
x + y = 50
Substitute x = 2y - 10 into the equation
2y - 10 + y = 50
3y = 50 + 10
3y = 60
Divide both sides by 3
y = 60 / 3
= 20
y = 20 gallons
Recall,
x + y = 50
x + 20 = 50
x = 50 - 20
= 30
x = 30 gallons
The big container holds 30 gallons and the small container holds 20 gallons
Answer:
The big container has 30 gallons and the small container has 20 gallons.
Step-by-step explanation:
What Ratio can you write that compares days with games two days without them right this ratio three ways to
Answer:
As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]
As a colon, 363:2
By using the word to; we have: 363 to 2
Step-by-step explanation:
A ratio is a comparison of two quantities. We can write a ratio as a fraction, using the word “to,” or using a colon.
A rate is a ratio that compares two different units, such as distance and time, or a ratio that compares two different things measured with the same unit, such as cups of water and litres of petrol.
We can use a ratio to compare the number of days regardless of employing any professional sports events each year with the total number of days in a year.
The ratio with which we can write, that compares days with games in a year with two days without them can be written in three ways.
Suppose there are 365 days in a year and it appears that two days in that year exist without a game.
i.e.
365 - 2(days without game) = 363 days with a game
Then:
As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]
As a colon, 363:2
By using the word to; we have: 363 to 2
Answer:
a to b a:b a/b
Ratio that compare days with games to days without them:
1- 363 to 2
2- 363 : 2
3- 363 / 2
Step-by-step explanation:
Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
A ratio compares two quantities by division, with the dividend.
We can write a ratio to compare the number of days without any professional sports events each year with the total number of days in a year.
There are three ways to write a ratio to express the relationship between two quantities.
a to b a:b a/b
Ratio that compare days with games to days without them:
1- 363 to 2
2- 363 : 2
3- 363 / 2
These are the three ways to describe a ratio.
Mike has at least 250 in his savings account.Which inequality represents this situation
what is the equation in slope-intercept form of the line that passes through (-4,2) and (12,6)
Answer:
y = .25x + 3
Step-by-step explanation:
First, you need to find the slope of the equation which is change in y over change in x. For this question, it's (6-2)/(12-(-4)) = 4/16 = 1/4
After, choose a point and plug it into the point slope formula: y - y0 = m(x - x0)
I chose the first point.
You should get y - 2 = .25(x + 4)
y -2 = .25x + 1
y = .25x + 3
To use the slope-intercept form, we need a slope.
Recall that the slope of a line m = (y2 - y1) / (x2 - x1). We are given the coordinates of two points, both of which lie on the line (the line passes through them): (-4,2) and 12,6).
So given these two points, let's let x1 = -4 and y1 = 2; and let's let x2 = 12 and y2 = 6. Substituting these values into the equation for the slope of a line, we get
m = (6 - 2) / [12 - (-4)] = 4 / 16, or m = 1/4
So now we have the slope, and we can use the point-slope form of the equation of a line to help us determine the y-intercept. The point-slope form is y - y1 = m * (x - x1)
Substituting our slope m = 1/4 and either one of the points (let's say the first point), we have
y - 2 = 1/4 * [x - (-4)] = 1/4 * (x + 4)
Now add 2 to both sides of this equation, and we have y = 1/4 * (x + 4) + 2
Using the distributive law, we can further reduce this to y = 1/4 * x + 1 + 2, or y = 1/4 * x + 3
Finally, the y-intercept of a line is where the line intersects the y-axis or, mathematically speaking, where the x-coordinate is equal to zero. So let's let x = 0 in the equation above, and solve for y. Substituting x = 0 into the equation for our line, we now have
y = 1/4 * 0 + 3 = 3
So our y-intercept is 3 (three). Now we can write the equation for our line in the slope-intercept form:
y = m * x + b, where m is the slope and b is the y-intercept. Substituting for m and b, we get
y = 1/4 * x + 3.
So the equation in slope-intercept form of the line that passes through points (-4,2) and (12,6) is
y = 1/4 * x + 3
(To check your answer, substitute either one of the points into the equation...)
MyCar Rental charges $15 per day to rent one of its cars plus an
$8 service charge.
a. Write an equation that gives the total cost, y, for the number of
days, x, that a car is rented.
b. State the slope and the y-intercept of the line that your equation
represents.
Answer:
y = 15x + 8 slope = 15 y-intercept = 8
Step-by-step explanation:
5.
5. Kara is zip-lining in the rainforest. She is standing at the top of Platform A
ready to zip-line to Platform B. If the horizontal distance between the
platforms is 500 feet and the length of the zip-line is 685 feet, find the
angle of depression from Platform Ato Platform B to the nearest tenth.
Answer:
The angle of depression from Platform A to Platform B is [tex]43.1^{\circ}[/tex]
Step-by-step explanation:
Refer the attached figure
The horizontal distance between the platforms is 500 feet i.e. BC = 500
The length of the zip-line is 685 feet i.e. AB = 685
We are supposed to find the angle of depression from Platform A to Platform B
Hypotenuse = 685
Base = 500
[tex]Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}[/tex]
Hence the angle of depression from Platform A to Platform B is [tex]43.1^{\circ}[/tex]
whats 2+2 ill give u acookie babh
How can you use the order of operation to explain why you cannot combine the variable terms before using the distributive property when solving the equation 7(x+5)-x=42
Answer:
Step-by-step explanation:
The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.
This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below.
Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.
Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.
Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.
Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.
Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.
Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways
We cannot combine the variable terms before using the distributive property when solving the equation as it will results in wrong answer.
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
Here the expression given is :
7(x+5)-x=42
The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.
Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.
Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.
Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.
Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.
Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways.
Read more about property of multiplication here :
https://brainly.com/question/14391436
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Please help ASAP!!! I’m struggling
Answer:
10
Step-by-step explanation:
Answer:
eat well don't forget to eat your dinner okay
Plzzzzzzzz heeeelllppp
John drove 144 miles in 6 hours. If he drove at a constant rate, how far did he travel in one hour
Answer:
24 miles in 1 hour
144 divded by 6 = 24
Hope this helps! If so I would appricate brainliest
Answer:
The answer is 24 milesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question, for 6 hours John drove 144 miles
If 6 hours = 144 miles
Then one hour would be
[tex] \frac{144 \times 1}{6} = \frac{144}{6} \\ [/tex]
We have the final answer as
24 miles2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
Learn more about arithmetic here:
brainly.com/question/14753192
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Which Polygons are similar to A? PLEASE ANSWER QUICKLY
Answer:
B and C are similar to A but E is same as A.
Question 3 Multiple Choice Worth 1 points)
(09 02 MC)
Given the function () 2x + 3x + 10. find f(1) and (3). Choose the statement that is true concerning these two values,
The value of t(1) is the same as the value of f(3).
The value of (1) cannot be compared to the value of (3)
The value of t(1) is larger than the value of (3)
The value of t(1) is smaller than the value of (3)
Answer:
The value of t(1) is smaller than the value of (3)
Step-by-step explanation:
Given function:
f(x) = 2x + 3x + 10
Insert the value x = 1 into the function:
f(1) = 2(1) + 3(1) + 10 = 5 + 10 = 15
Insert the value x = 3 into the function:
f(3) = 2(3) + 3(3) + 10 = 6 + 9 + 10 = 25
f(3) is larger than f(1)
What kind of lines are shown?
Answer:
vertical and horizontal
The circular opening of a vase has an inside diameter of 13.5 cm.
-13.5 c
What is the approximate area of this circular opening? (Use a = 3.14.)
Answer:
[tex]Area = 143cm^2[/tex]
Step-by-step explanation:
Given
Shape: Opening of a circular vase
[tex]Diameter =13.5cm[/tex]
[tex]\pi = 3.14[/tex]
Required
Determine the area
This opening implies a circle; hence the area will be calculated using area of a circle.
[tex]Area = \pi r^2[/tex]
Solve for radius (r)
[tex]r = \frac{d}{2}[/tex]
[tex]r = \frac{13.5\ cm}{2}[/tex]
[tex]r = 6.75\ cm[/tex]
Substitute 6.75 for r in [tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * 6.75^2[/tex]
[tex]Area = 143.06625[/tex]
[tex]Area = 143cm^2[/tex] --- Approximated
If you have 4 gallons of gas to drive 120 miles how many miles can u drive if you have 1 gallon of gas
Answer:
1 gallon of gas
= 120/4
= 30 miles
Write the sentence two plus three equal five seven two
Answer:
2 + 3 = 5 7 2
Step by Step Explanation:
ur welcome
g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.
Step-by-step explanation:
The snowball is spherical in nature
The total surface area of the ball = 4πr²
Or 4π(d/2)²
S = 4πd²/4
S = πd²
d is the diameter of the ball
The rate at which the area is decreasing is expressed as;
dS/dt = dS/dd • dd/dt
dd/dt is the rate at which the diameter is decreasing
dS/dd = 2πd
dS/dt = 2πd • dd/dt
dS/dt = 2π(9) • dd/dt
8 = 18π•dd/dt
dd/dt = 8/18π
dd/dt = 4/9(3.14)
dd/dt = 4/28.26
dd/dt = 0.1415cm/min
Hence the diameter is decreasing at the rate of 0.1415cm/min
Select all the expressions that equal -2 + 5. A -2 - (-5) B -2 - 5 C 5 - 2 D 5 + (-2)
Answer:
A
Step-by-step explanation:
Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?
Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
500 POINTS WILL BE GIVEN OUT!
How can you drop two eggs the fewest amount of times, without them breaking?
Answer: Drop the egg from half way up the building. This divides the search space in half. If it breaks, start on the bottom floor and work your way up. If it doesn't, start on the next floor up and continue up duhhhhhhh
Step-by-step explanation:
Answer:
boiled egg side
Step-by-step explanation:
the shell is going to crack not the egg a
a produce store sells 63 apples if the ratio of red apples to green apples was sold was 7 to 2 what is the combined amount of red apples and Green Apple sold
here is the answer I just took a picture because I already answered this for someone eles
Answer:
49 red apples and 14 green apples
Step-by-step explanation:
63 divided by (7+2) equals 7, 7 times 7 equals number of red apples and 7 times 2 equals the number of green apples
Describe the relationship between the point B (16, 24) and the point
B' (8, 12) in terms of dilations.
(x, y) → ()
Answer:
(x/2,(y/2)
Step-by-step explanation:
(16/2,24/2)
(8,12)
At Yogurt Express they charge $0.17 per ounce for yogurt and toppings. Maria pays $2.04 for her yogurt. How many ounces of yogurt and toppings did Maria get?
Answer:
12 ounces
Step-by-step explanation:
.17×12=2.04
If f(x) = 3a|4x - 4| - ax, where a is some constant, find f '(1). (4 points)
Select one:
a. 0
b. not enough information
c. e
d. 1
Annswer girl
Step-by-step explanation:
just trying to get answers
I NEED HELP LIKE REALLY REALLY FAST
Answer:
56 inches I believe.
I'm not 100% sure.
The surface area is 50 square inches
Determine whether the given relations are functions.
Answer:
IT IS NOT A FUNCTION
Step-by-step explanation:
6 and 6 are both inputs so it is not a function.
& 2 and 2 are also the same
There must be one individual input (x) for it to be an function
The table represents some points on the graph of a linear function. What is the slope of the line of this function?
Answer:
-3/11
Step-by-step explanation:
using slope intercept form, y=mx+b
we know from x=0 that b=5
so we just substitute one x value m(-11)+5=8
solve for m and you get the slope
Trapezoid STUV is similar to trapezoid FGH).
What is the value of m in centimeters?
A.7
B.4
C.16
D.6.25
Answer:
A. or 7 because to get to 10 from 8 u add 2 adding 2 on to 5 gets u 7
what goes in to 18 and 6
Answer:
Answer us 3
Step-by-step explanation:
3×2=6 3×6=18
