A quadrilateral cannot have 4 obtuse angles
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
A quadrilateral
By definition, the sum of angles in a quadrilateral is 360
And an obtuse angle is greater than 90
So, we have
Sum = 4 * greater than 90
Evaluate
Sum = greater than 360
This means that a quadrilateral cannot have 4 obtuse angles
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A number between 67 and 113 that is multiples of 4,6,8
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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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.
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 30 : 84 as a ratio in simplest form
What is 2x + 3y = 1,470 in slope-intercept form? Show your work, please!!
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
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
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
2x+4y=12
y=1/4x-3
what is the solution to the system of equations ?
(-1,8)
(8,-1)
(5,1/2)
(1/2,5)
Answer: The solution of the system of the equation is, (8,-1)
Step-by-step explanation:
Using substitution method
[tex]2x+4y=12[/tex] .......... (1)
[tex]y=\frac{1}{4}x-3[/tex] ......... (2)
Now we are putting equation (2) into equation (1), we get the value of 'x'
[tex]2x+4(\frac{1}{4}x-3)=12[/tex]
[tex]2x+\frac{4}{4}x-4\times 3=12[/tex]
[tex]2x-x=12+12[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Now put the value of 'x' in equation (2), we get the value of 'y'
[tex]y=\frac{1}{4}x-3[/tex]
[tex]y=\frac{1}{4}\times 8-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Hence, the correct option is, (8,-1)
The solution to the system of equations is (-1, 8).
Explanation:The given system of equations is:
2x + 4y = 12
y = ⅓x - 3
To find the solution to the system, we can solve it by substitution or elimination method:
Substitution Method:
From the second equation, we have y = ⅓x - 3.Substitute this value of y in the first equation.Replace y with ⅓x - 3 in the first equation: 2x + 4(⅓x - 3) = 12.Distribute 4 to both terms inside the parentheses: 2x + ⅓*4x - 12 = 12.Combine like terms: 2x + ⅓*4x = 12 + 12.Combine like terms: 2x + ⅓*4x = 24.Simplify: 2x + 4/4*x = 24.Simplify: 2x + x = 24.Combine like terms: 3x = 24.Divide both sides by 3 to solve for x: x = 8.Substitute the value of x in the second equation to find y: y = ⅓(8) - 3 = 2 - 3 = -1.Therefore, the solution to the system of equations is (-1, 8).
help below i think the question that i chose is right but i want a second opinion
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:
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.
The inverse of a function is a function.
1.) Always
2.)Sometimes
3.) Never
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
write a second inequality withe the same meaning -20 <- s
Convert the mixed number to an improper fraction. Enter your answer below, using the slash mark ( / ) as the fraction bar.
3 7/8
Answer:
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 discrimination of 3x^2+6x=2
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.
What is the equation of this line? y=12x−2 y=−2 x−2 y=2 x−2 y=−12x−2
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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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.
When are two numbers
opposites
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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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
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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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.
Inequality solution wuestions
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?