Answer:
x - intercept is (2,0)
y - intercept is (0,3)
Step-by-step explanation:
y = 0 for x - intercept
0 = - 1.5x + 3
- 3 = - 1.5x
x = 2
x = 0 for y - intercept
y = 0 + 3
y = 3
Drag and drop a phrase to make the statement true.
Triangles ABC and DEF are .
similar triangles or not similar triangles
Since m<B is equal to m<E, hence the angles are similar triangles
To determine if both triangles are similar, all the interior angles of the triangles must be equal to each other that is;
m<B = m<Em<C = m<FGet the measure of angle B
The measure of the interior angle of the triangle is 180 degrees
m<D + m<E + m<F = 90
90 + m<E + 55 = 180
m<E = 180 - 145
m<E = 35 degrees
Since m<B is equal to m<E, hence the angles are similar triangles
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yasmine bought 6 gallons of apple juice. after filing up 4 bottles of the same juice, she had 0.3 gallons of apple juice left. What's the amount of apple juice in each bottle?
1.425 gallons/bottle
Further explanationGiven:
Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.Question:
What is the amount of apple juice in each bottle?
The Process:
Let the amount of apple juice in each bottle as X.
The two steps for obtaining X are as follows:
Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.
[tex]\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }[/tex]
Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.
[tex]\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]
Quick steps:
[tex]\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]
Thus, the amount of apple juice in each bottle is 1.425 gallons.
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The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].
Further explanation:
Given:
Yasmine bought [tex]6[/tex] gallons of apple juice.
She filled up [tex]4[/tex] bottles of same size.
She had [tex]0.3[/tex] gallon of apple juice left.
Calculation:
Consider the size of each bottle is [tex]x[/tex] gallons.
Total size of each bottle is [tex]4x[/tex] gallons.
Total amount of apple juice used in these [tex]4[/tex] gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.
[tex]\boxed{6-0.3=5.7}[/tex]
Therefore, total size of the [tex]4[/tex] bottles is [tex]5.7\text{ gallon}[/tex].
Write the equation for the total size of the bottles.
[tex]\boxed{4x=5.7}[/tex]
Now find the value of [tex]x[/tex] which gives the size of the bottles.
[tex]\begin{aligned}4x&=5.7\\x&=\dfrac{5.7}{4}\\x&=1.425\end{aligned}[/tex]
Therefore, the size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].
Simple method:
First find the total size of bottle and then divide by [tex]4[/tex].
The total size of each bottle can be obtained as follows:
[tex]6-0.3=5.7[/tex]
The size of each bottle can be obtained as follows:
[tex]\dfrac{5.7}{4}=1.425[/tex]
The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Algebraic expression
Keywords: Yasmine, apple juice, juice, 6 gallons, 0.3 gallons, filled, equally, bottles, juice, poured,1.425, liters, size, amount, equation, total size.
simplify rational expression
In order to simplify, we want to change the 10 - x to an x - 10.
To do that, we can factor out a -1.
So we have -1(x - 10)/(x - 10).
Now our x - 10's cancel leaving us with -1.
Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
Answer: Hello there!
Louse bought 114 pounds of roast beef at $2.00 per pound, this means that each one of the 114 pounds cost $2, then the total cost of the roast beef is $2*114 = $228.
For the turkey she bought 212 pounds at a price of $1.50 per pound, with the same reasoning as before, we need to see $1.50*212 = $318
then she spend $228 in roast beef and $318 in turkey, then the total cost is the addition of this two: $228 + $318 = $546.
Dee is driving home from a conference. The expression 705 – 60h gives the number of miles Dee is from home after driving h hours. Which best represents the meaning of the term 60h?
A. the number of miles Dee drove each hour
B. the number of miles Dee had to drive before she started
C. the number of miles Dee drove in h hours
D. the number of miles Dee had left to drive after driving h hours
The statement that best represents the meaning of the term 60h is:
C. the number of miles Dee drove in h hours
Step-by-step explanation:The expression 705 – 60h gives the number of miles Dee is from home after driving h hours.
This means that initially he is: 705 miles away from the home.
Now, he is travelling at a speed of 60 miles per hour.
This means that the distance he travels in h hours is: 60h miles.
Hence, the correct answer is: Option: C
while mining Peter found a large metal bar that contains 22 grams of zinc Peter also determined that the bar was 55% zinc what was the total weight of the metal bar in grams
Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered.
Carla pays $9.44 for 4 magazines, and she pays $21.24 for 9 magazines.
The equation below represents the amount of money Brandon pays for x magazines.
y = $2.87x
Who pays more per magazine?
A.
Brandon and Carla pay the same price per magazine.
B.
Carla pays more per magazine.
C.
Brandon pays more per magazine.
D.
There is not enough information to determine the price per magazine.
Brandon pays more per magazine
What is Linear equations ?
Linear Equation is an equation in which the highest power of the variable is always 1 .
From question it is given ,
Carla pays $9.44 for 4 magazines
Let cost of one magazine is '$m'
4 * m = $9.44
m = 9.44 /4 = 2.36
hence , Carla paid $ 2.36 for one magazine
In case of Brandon ,
from equation y = $ 2.87 x
it can be seen that he paid $ 2.87 per magazine
Hence , answer is c) Brandon pays more per magazine
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How is a relationship determined when looking at a scatterplot
Answer:
Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... If the line goes from a high-value on the y-axis down to a high-value on the x-axis, the variables have a negative correlation . A perfect positive correlation is given the value of 1.
WHAT IS THE RELATIONSHIP BETWEEN A DOMAIN, RELATION, AND RANGE??????
The relationship between a domain, relation, and range in mathematics is that the domain represents the set of input values, the relation shows the relationship between input and output values, and the range represents the set of output values.
Explanation:In mathematics, "a domain is the set of input values or independent variable in a relation or function". It represents the possible values for the input variable. A relation is a set of ordered pairs that shows the relationship between the input and output values. The range of a relation is the set of output values or dependent variable.
For example, let's consider a relation that relates the ages of students to their heights. The ages of the students would be the domain, the heights would be the range, and the ordered pairs would represent the relationship between age and height.
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What is true about the product, a fraction less than 1 is multiplied by 9/10
Write 30 : 84 as a ratio in simplest form
Saeed's house is 6,000 meters away from Anna's house. How many kilometers apart are their houses?
1 kilometer = 1000 meters
6000 meters / 1000 = 6 kilometers
What is the simplified value of the expression below? 8.5+(12+4)x2-7
A. 10.5
B. 33.5
C. 88.5
D. 97.5
Answer:33.5
Step-by-step explanation:
A snail is at the bottom of a well. In the first 10 minutes, the snail climbs 23 7/12 inches. In the next 10 minutes, it clims 19 5/6 inches. How far is the snail from the bottom of the well after 20 minutes?
A number between 67 and 113 that is multiples of 4,6,8
Shawn read 3/4 of a chapter of his history book in 1/6 of an hour at this rate how many chapters of his history book can he read in 1 hour explain
Solve for x, assuming a, b, and c are negative constants.
(ax + b)/c ≤ b
Solving for some variable means finding its value for which the given statement is true. Thus, the solution to given inequality is [tex]x \leq \dfrac{b(c-1)}{a}[/tex] (if a/c is non-negative)or [tex]x \geq \dfrac{b(c-1)}{a}[/tex] (if a/c is negative)
What type of operations are allowed in inequality?All such operations such that inequality doesn't gets modified( for example, if left expression is bigger than right one, then that expression cannot go bigger than the later expression).
For the given case, the inequality given is:
[tex](ax+b)/c \leq b[/tex]
Its solution can be found by doing operations which doesn't modify the inequality and takes all the terms such that one side is 'x' and other side are constants.
[tex](ax+b)/c \leq b\\\\\dfrac{a}{c}x + \dfrac{b}{c} \leq b\\\\\text{Subtracting b/c from both the sides}\\\\\dfrac{a}{c}x \leq b - \dfrac{b}{c}\\\\\text{Supposing that a/c is non-negative, multiplying both sides by c/a}\\\\x \leq \dfrac{c}{a} \times \dfrac{bc - b}{c} = \dfrac{b(c-1)}{a}\\\\x \leq \dfrac{b(c-1)}{a}[/tex]
(i assumed a/c non-negative, since multiplying with negative quantity can modify the sign of inequality, so ≤ would have become ≥ )
If a/c is negative, then:
[tex]x \geq \dfrac{c}{a} \times \dfrac{bc - b}{c} = \dfrac{b(c-1)}{a}\\\\x \geq \dfrac{b(c-1)}{a}[/tex]
Thus, the solution to given inequality is [tex]x \leq \dfrac{b(c-1)}{a}[/tex] (if a/c is non-negative)
or [tex]x \geq \dfrac{b(c-1)}{a}[/tex] (if a/c is negative)
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Final answer:
To solve for x, we can multiply both sides of the equation by c, subtract b from both sides, and then divide both sides by a to isolate x. The solution is x ≤ (bc - b)/a.
Explanation:
To solve for x in the equation (ax + b)/c ≤ b, we can first multiply both sides of the equation by c to eliminate the denominator:
ax + b ≤ bc
Next, we can subtract b from both sides:
ax ≤ bc - b
Finally, we divide both sides by a to isolate x:
x ≤ (bc - b)/a
Since a, b, and c are negative constants, the values of b and c are negative. Therefore, the numerator of the inequality will always be negative, resulting in a positive value for x. So the solution is:
x ≤ (bc - b)/a
Anna is making soft toys she can sell at the fair. She can make 3 soft toys in 5 hours. How many soft toys can she make in 20 hours?
A. 10
B. 12
C. 16
D. 20
Answer:
B.12
Step-by-step explanation:
We can calculate it with a direct rule of 3. If in 5 hours she can make 3 soft toys, how many soft toys will she make in 20 hours?
[tex]\text{5 hours} -\!\!\!-\!\!\!- \text{3 soft toys}\\ \text{20 hours} -\!\!\!-\!\!\!- \text{x soft toys}[/tex]
We use the formula of the direct rule of 3:
[tex]x = \frac {20*3}{5} \\ \\ x = \frac {60}{5}\\[/tex]
x = 12
She can make 12 soft toys in 20 hours.
Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters? (3 points)
5.6775 milliliters
567.75 milliliters
5,677.5 milliliters
56,775 milliliters
The amount of water consumed each day is 1.5 gallons = 5667.5 millilitres. The correct option is C.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The amount of water in millilitres will be calculated as,
1 Gallons = 3.785 litres
1.5 Gallons = 3.785 x 1.5 litres
1.5 Gallons = 5.6775 litres
1.5 gallons = 5.6775 x 1000 mililitres
1.5 Gallons = 5677.5 mililitres
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11x-9=108 What is the answer to this equation?
11x-9 = 108
add 9 to both sides:
11x = 117
divide both sides by 11
x = 117 / 11 = 10.63636364
8.50 as a rational number?
Inequality solution wuestions
How far apart in miles are two towns that are 3.25 inches apart on map?
Answer:
so for every .25 in it is 20 miles
3.25 is 13 x .25, so 13 is your answer for the next equation.
Now multiply 13 to 20
13 x 20 = 260
260 miles is your answer
Step-by-step explanation:
write a second inequality withe the same meaning -20 <- s
What is the equation of this line? y=12x−2 y=−2 x−2 y=2 x−2 y=−12x−2
The selling price of an item is $650 It is marked down by
10%, but this sale price is still marked up from the cost of $450
Find the markup from cost to sale price.
Answer:
10%×$650=$585
$585-$450=$135 Mark up.
Step-by-step explanation:
The markup from cost to sale price is $135.
What is the cost price?Cost price, for instance, equals selling price plus profit ( when selling price and profit is given ) Cost is equal to Selling price plus Loss ( when selling price and loss is given )
Cost price = 100 Selling Price + 100 + Profit (where the Selling Price and Profit Percentage are supplied)
Given the selling price of item = $650
The cost = $450
Therefore,
10% × $650 = $585
$585-$450=$135
Hence, the markup from cost to sale price is $135.
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Naomi drank 3/4 of a 20.8 ounce container of apple juice. How much ounces of apple juice did Naomi drink????
The state of Colorado has roughly the shape of a rectangle that is 3.8 x 102 miles long and 2.8 x 102 miles high. What is the approximate area of Colorado? Hint: The area of a rectangle is the product of its length and width.
The inverse of a function is a function.
1.) Always
2.)Sometimes
3.) Never
The rabbit population in a certain area is 500% of last years population. There are 900 rabbits this year. How many were there this year?
Answer:
180 rabbits
Step-by-step explanation:
The correct question is
The rabbit population in a certain area is 500% of last years population. There are 900 rabbits this year. How many were there last year?
we know that
900 rabbits represent 500% of last year population
Last year population represent 100%
so
using proportion
Find out how many rabbits represent a percentage of 100%
[tex]\frac{900}{500\%}=\frac{x}{100\%}\\\\x=900(100)/500\\\\x=180\ rabbits[/tex]
Answer:180
Step-by-step explanation: