Answer:
90+4n less than or equal to 330
Step-by-step explanation:
since craig weighs 90 pounds. he will be a constant weight
Since each package weighs 4 pounds, the variable will be 4n
The elevator can hold a maximum of 330 pounds so that is what the inequality should have on the other side
the final equation will be:
90+4n less than or equal to 330
The sum of the perimeters of an equilateral triangle and a square is 22. Find the dimensions of the triangle and the square that produce a minimum total area. dimension of triangle dimension of squar
Answer:
The dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
Step-by-step explanation:
let a side of the equilateral triangle = x
let a side of square = y
3x + 4y = 22
4y = 22 - 3x
[tex]y = \frac{11}{2} -\frac{3x}{4}[/tex]
subjective function, the total area is given by;
[tex]f(x,y) = \frac{x^2\sqrt{3} }{4} +y^2[/tex]
[tex]f(x) = \frac{x^2\sqrt{3} }{4} + (\frac{11}{2} -\frac{3x}{4})^2\\\\f(x) = \frac{x^2\sqrt{3} }{4} +\frac{121}{4} -\frac{33x}{4} +\frac{9x^2}{16} \\\\f(x)' = \frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8} \\\\\frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8}=0\\\\\frac{x\sqrt{3} }{2} + \frac{9x}{8} =\frac{33}{4}\\\\\frac{4x\sqrt{3} +9x}{8} = \frac{33}{4}\\\\4x\sqrt{3} +9x = 66\\\\x(4\sqrt{3} +9) = 66\\\\x(15.928) = 66\\\\x = \frac{66}{15.928}\\\\x = 4.144 \ m[/tex]
solve for y
[tex]y = \frac{11}{2} -\frac{3x}{4}\\\\y = \frac{11}{2} -\frac{3*4.144}{4}\\\\y = 5.5-3.108\\\\y = 2.392 \ m[/tex]
Therefore, the dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
Write an algebra expression to represent each scenario:
“the sum of 6 and y”
Answer:
6+y
Step-by-step explanation:
simple:)
Raul Del Valle's gross weekly salary is S615. His weekly federal withholding is S55. The Social Security tax is
6,2% of the first $97.500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay.
Each week he pays $12.40 for medical insurance. How much is deducted from Raul's weekly wages for state tax
and Medicare tax?
Answer:
Step-by-step explanationjiuijkk8
u:
A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual for a model for predicting each variable from the age of the fish.
A conclusion that a linear model between the variable and age is appropriate is supported by which plot or plots?
1.)A Only
2.)B Only
3.)C Only
4.)A and C only
5.)B and C only
Answer: A Only
Step-by-step explanation:
To determine that a linear model is appropriate, the residual plot should be randomly dispersed.
Answer:
1
Step-by-step explanation:
Use absolute value to express the distance between 10 and −4.
Answer:14
Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14
Answer this answer correctly and you'll get 100 points + brainiest:
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?
Part A: Which equation represents the situation?
A. 3m + 54 = 381, where m represents the amount originally in his account
B. 3(m + 54) = 381, where m represents the amount originally in his account
C. 3m − 54 = 381, where m represents the amount originally in his account
D.3(m − 54) = 381, where m represents the amount originally in his account
Part B: Complete the statement to represent the solution of the equation in context.
Marcellus originally had $___________ in his account.
Answer:
B
Step-by-step explanation:
Part A:
3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.
Part B:
3(m-54) = 381.
You would first divide both sides by 3.
m - 54 = 127
You would now add 54 to both sides.
You now know m = 181.
A quadratic equation is written as a system of two quadratic functions. Select the number of possible ways the graphs can intersect.
Answer:
can I see the opinions and I will come
Step-by-step explanation:
back and edit my question and answer it for you
Answer:
0, 1, 2, infinite
Step-by-step explanation:
Which shows two expressions that are equivalent to (-8)(-12)(2)?
The solution is option C.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
(-8)(-12)(2)
=96*2
=192
so. we get,
It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 .
so, therefore your answer is c.
To learn more on multiplication click:
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5) Find the distance between -9 and 12 on a number line.
Answer: Hope this helps!!!
Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.
Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.
Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.
(-1, 4) and (0,-1) writing out linear equations giving two points
Answer:
The equation is y = -5x - 1.
Step-by-step explanation:
1. Find the slope using the formula. Slope = (4 + 1) / (-1 - 0) which is equal to 5 / -1 which is -5.
2. Use the slope-point formula to construct an equation. The equation is y - 4 = -5 * (x + 1)
3. Simplify. We would get y = -5x - 5 + 4, which is y = -5x - 1.
Answer: The equation is y = -5x - 1.
x÷79 + 72 - 18 hellppppp
Answer:
1/5688x-18
I am not sure about my answer because I think the question is missing some information but my answer is 1/5688x-18. Thanks!
Evaluate the expression
Answer:
-15
Step-by-step explanation:
You are walking from home to music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home. How much farther do you have to walk
The number of miles that farther you have to walk will be 1/12 miles.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
You are walking from home to the music store. You stop for a rest after 2/3 miles. The music store is actually 3/4 miles from home.
The number of miles that farther you have to walk will be
⇒ 3/4 - 2/3
⇒ (9 - 8) / 12
⇒ 1/12
The number of miles that farther you have to walk will be 1/12 miles.
More about the Algebra link is given below.
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Somebody please help me with this question
Answer:
c is the correct answer
Step-by-step explanation:
Find the equation of the straight line passing through the point ( 0 , -1 ) which is perpendicular to the line y = -3/4x - 3
How would you graph the solution to 3x ≤ -15?
Draw an open circle on -5 and shade to the left.
Draw an open circle on -5 and shade to the right.
Draw a closed circle on -5 and shade to the left.
Draw a closed circle on -5 and shade to the right.
Answer: C) Closed circle at -5; shading to the left
The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.
The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.
Answer:
C) Closed circle at -5; shading to the left
Step-by-step explanation:
The science center has 300 people in attendance on Tuesday. This is 150 percent of the attendance on Monday. Natasha is trying to figure out how many people were in attendance on Monday. Her work is shown below.
StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction
StartFraction 150 times 2 Over 100 times 3 EndFraction = StartFraction 300 Over question mark EndFraction
Since 150 times 2 = 300, then 100 times 3 or 300 people were in attendance on Monday.
What mistake did Natasha make?
Natasha should have multiplied 100 by 2.
Natasha should have divided 150 by 3.
Natasha should have added 150 and 300.
Natasha should have multiplied 300 and 150 percent.
Answer:
Natasha should have multiplied 100 by 2.
Step-by-step explanation:
part/whole = 150/100
(150 * 2)/(100 * 2) = 300/? is correct.
Answer: Natasha should have multiplied 100 by 2.
Andre filled 4 jars using a total of 10 cups of blackberry jam how many did cups of jam is in each jar
Answer:
2.5 cups in each jar
Step-by-step explanation:
10/4 is 2.5
Given x and y are integers, explain why the product of the expression and it's conjunct will always be an integer
Answer:
If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.
Step-by-step explanation:
An equilateral triangle and a regular hexagon have the same area. The ratio of the side length of the regular hexagon to the side length of the equilateral triangle can be written as m/√n. What is m+n?
Help me plz!
Answer:
7
Step-by-step explanation:
Let a and b be the sides of the equilateral triangle and the regular hexagon respectively as shown in figures (1) and (2).
The area of the equilateral having side a is
[tex]A_T= \frac {\sqrt3}{2}a^2\cdots(i)[/tex]
Now, join all the 6 corner points of the regular hexagon to the center of the hexagon as shown in figure (3).
As there are 6 equal sides, so angle subtended by each side at the center is 360/6=60 degrees.
Considering the triangle POR:
[tex]\angle POR= 60[/tex] degree [angle at center]
As sides PO=RO, so [tex]\angle OPR = \angle ORP = 60[/tex] degree.
Hence, triangle POR is an equilateral triangle.
Similarly, all the remaining 5 triangles are equilateral triangles.
So, the area of hexagon = 6 x Area of triangle POR
As the length of sides of the triangle POR is b,
so the area of the triangle POR [tex]= \frac {\sqrt3}{2}b^2[/tex].
Hence, the area of the regular hexagon,
[tex]A_H = 6 \times \frac {\sqrt3}{2}b^2\cdots(ii)[/tex]
As the equilateral triangle and a regular hexagon have the same area, so from the equations (i)and (ii), we have
[tex]A_T=A_H\\\\\frac {\sqrt3}{2}a^2=6 \times \frac {\sqrt3}{2}b^2\\\\\Rightarrow a^2=6b^2\\\\\Rightarrow \frac {b^2}{a^2}=\frac 1 6\\\\\Rightarrow \frac {b}{a}=\frac {1}{\sqrt 6}\cdots(iii)[/tex]
Given that the ratio of the side length of the regular hexagon to the side length of the equilateral triangle, b/a= m/√n.
On comparing with the equation (iii), we have
m=1 and n=6
Hence, m+n=1+6=7.
In the expression (44 - 4) ÷ 2 + 10, which operation should we start with?
Answer: the parenthesis: (44-4)
Step-by-step explanation: In order of operations parenthesis are always first. Then exponents, then multiplication and division, and then addition and subtraction. (PEMDAS)
Daniel earns a commission of 3% on every home he sells. Recently, Daniel
sold a home for $180,000. What was Daniel's commission?
Answer:
The answer in 180000 * 3 ÷ 100 = 5400$
The Lambert family uses up a 1/2
gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
Step-by-step explanation:
Given
Lambert family uses up a 1/2
gallon jug of milk every 3 days.
rate drink milk per day
Solution =1/2÷3
= 1/6
So the answer is 1/6
The sum of two numbers is 12.
When three times the first number is added to 5 times the second number, the result is 44.
Find the two numbers.
A 9 and 3
B) 8 and 4
C) 10 and 2
D) 7 and 5
Answer:
b
Step-by-step explanation:
8*3
=24
4*5
=20
20+24
=44
What is the range of the given function?
Answer:
D
Step-by-step explanation:
Look at the y-values for both dots, the open circle is -7 and the closed circle is 5. The closed circle means y is going to be equal to, so the greater than sign is made to be equal.
A baker makes 30 cupcakes. He makes 3 times as many cupcakes as his friend Sarah. How many cupcakes does Sarah make?
Answer:
sarah makes 10 cupcakes
Step-by-step explanation:
baker makes 30 cupcakes.
30/3=10
Please help!Please help me
Answer:
The answer is Thousandths
Answer:
Thousandths
Hope this helps!
Can you pls give brainly
Determine if parallel, perpendicular, or neither showing how to find the slope
4x-7y=10
7x+4y=1
Answer:
They're perpendicular
Step-by-step explanation:
Cause they interfere the point (47/65, 66/65) in a 90 degree angle
What is an equation of the line that passes through the points (0, -2) and (-5, 4)?
Put your answer in fully reduced form.
Answer:
I have no idea
Step-by-step explanation:
Answer: y= -6/5x-2
Step-by-step explanation:
That’s wut it said
What is the domain and range of y=2x+5