Answer:
There are 50 large boxes.
There are 65 small boxes
Step-by-step explanation:
First, "boxes of two sizes" means we can assign variables:
Let x = number of large boxes
y = number of small boxes
"There are 115 boxes in all" means x + y = 115 [eq1]
Now, the pounds for each kind of box is:
(pounds per box)*(number of boxes)
So,pounds for large boxes + pounds for small boxes = 4125 pounds"the truck is carrying a total of 4125 pounds in boxes"
(50)*(x) + (25)*(y) = 4125 [eq2]
It is important to find two equations so we can solve for two variables.
Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x:
x = 115 - y [from eq1]
50(115-y) + 25y = 4125 [from eq2]
5750 - 50y + 25y = 4125 [distribute]
5750 - 25y = 4125
-25y = -1625
y = 65 [divide both sides by (-25)]
There are 65 small boxes.
Put that value into either equation (now, which is easier?) to solve for x:
x = 115 - y
x = 115 - 65
x = 50
There are 50 large boxes.
x + y =7 What is the answer show your work
Answer:
x = 3y = 4.There are infinite solutions. I'll just give you this solution.Step-by-step explanation:
Given equation:
x + y = 7Solve for variables:
7 - x = y7 - 3 = 47 - y = x7 - 4 = 3.Answers:
x = 3y = 4.A catering company sells an 8 lb container of food for $54. Use a model to write a rate for this situation. What does this rate mean?
Answer:
$6.75 per pound
Step-by-step explanation:
$54 ÷ 8lb = $6.75/lb
or a 1:6.75 ratio/rate
The model to write the rate for this situation is 54 / 8 and the rate is $6.75.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
In other words it compares 1 unit of some quantity with different amount of another quantity.
Given that,
A catering company sells an 8 lb container of food for $54.
We have to find the unit rate for the given situation.
Price for 8 lb container of food = $54
Price for 1 lb container of food = 54 / 8
= $6.75
This is the required rate, which means that price for 1 lb container of food is $6.75.
Hence, the unit price for the food sold by catering company is $6.75.
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True or false: The function shown is not discrete because the domain is a finite set.
Answer:
false
Step-by-step explanation:
the domain can be discrete or continuous
Write an equation for the function graphed below. I keep doing this and getting the same answer, what am I doing wrong.
Answer:
(-4(x-2))/((x+2)|(x-4)|)
Step-by-step explanation:
You were so close. I stared at your problem for a
long time when you first posted it. I used a graphing utility to experiment. Your denominator was perfect for getting the vertical asymptotes in the right place. The y-intercept worked. The x-intercept was exactly right. I couldn't get the far right piece of the curve to reflect down in the fourth quadrant.
Hours later...suddenly BAM! ABSOLUTE VALUE pops into my head.
I always thought the numerator should be negative, so that middle portion of the curve that looks like a cubic would start "up to the left" and end "down to the right" But those left and right curves should be like mirror images of each other sort of. So I tried the absolute value and it worked! Good luck with your work. Hope this helps a little.
A city employee is organizing a race down Broadway, from Beale Street to Grand Avenue. There will be a water station at the beginning and end of the race. There will also be water stations along the route, with no more than one mile between stations. What is the minimum number of water stations for this race
It can be deduced from the multiplication that the minimum number of water stations for this race will be 28.
How to calculate the number of water stationsYour information isn't complete as the figures aren't provided. Therefore, an overview will be given.
In this case, let's assume that there are 14 routes and that there will be a water station at the beginning and end of the routes.
From the scenario, if the racers are to run through all the routes, the number of water stations will be the value of 14 multiplied by 2. This will be:
= 14 × 2 = 28
In conclusion, the correct option is 28.
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the volume of this sphere is 500pi/3 cubic inches. what's it's radius
Answer:
[tex]r= 5in[/tex]
Step-by-step explanation:
[tex]\frac{500\pi }{3} =\frac{4}{3} \pi *r^{3} \\r^{3} =\frac{500}{3} *\frac{3}{4} \\r^{3}=125\\r= 5 in[/tex]
{ Bring the number into the equation }
if 2^a=√64 and b/a =3 evaluate a^2+b^2
Answer:
90
Step-by-step explanation:
2^a=√64 2^a=8 a=3
b/3=3 b=3*3 b=9
a²+b²=3²+9²=9+81=90
A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?
Answer:
The pool manager pay for each item is $60.6.
Step-by-step explanation:
Given:
A pool manager balances the ph level of a pool.
The price of a bucket of chlorine tablets is $90, and the price of a ph test kit is $11.
The manager uses a coupon that applies a 40% discount to the total cost of the two items.
Now, to find the money the pool manager pay for each item.
The price of a bucket of chlorine tablets is = $90.
The price of a ph test kit = $11.
So, to get the total price of both items we add both prices:
Total cost of two items = $101.
As, given a coupon that applies a 40% discount to the total cost of the two items.
Now, to get the total cost by applying discount:
Thus, the pool manager pay = $60.6.
Therefore, the pool manager pay for each item is $60.6.
which one is greater 7,-7
Answer:
The 7 is the answer dear 7 is greater
Answer:
7 of course.
Step-by-step explanation:
Anything negative will always be smaller then a non-negative. It's like having a friend younger then you that will never be older. Could i get brainliest :D
Evaluate Functions From a Graph
Answer:
f(-2)= -6
Step-by-step explanation:
Hope this helps :)
Answer:
f(-2)=-6
Step-by-step explanation:
cause
Riley’s Rug Warehouse purchases rugs from the manufacturer for $82.00 each. The manager marks the rugs up 150% and then includes a 10% sales tax. How much does a customer pay for 1 rug? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $225.50)
82+82*1.5=205
205+205*0.1=$225.50
please help me to solve this problem
Answer:
1/x+2
Step-by-step explanation:
1/x−2 + 4/4-X^2
Factor 4−x^2
1/x−2 + 4/(x−2)(−x−2)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x−2 and (x−2)(−x−2) is (x−2)(−x−2).
Multiply : 1/x−2 TIMES −x−2/−x−2
−x−2/(x−2)(−x−2) + 4/(x−2)(−x−2)
Since −x−2/(x−2)(−x−2) and 4/(x−2)(−x−2) have the same denominator, add them by adding their numerators.
−x−2+4/(x−2)(−x−2)
Combine like terms in −x−2+4.
−x+2/(x−2)(−x−2)
Extract the negative sign in −x+2.
−(x−2)/(x−2)(−x−2)
Cancel out x−2 in both numerator and denominator.
1/X-2
What is the area of this polygon
A=220 cm^2
A=242 cm^2
A=248 cm^2
A=270 cm^2
Answer:
A = 220 cm²
Step-by-step explanation:
Area of a rectangle = width x heightArea of a triangle = 1/2 x base x heightArea of the rectangle = 11 x 18 = 198 cm²
Area of the triangle = 1/2 x (18 - 7) x (15 - 11) = 22 cm²
Therefore, area of the polygon = 198 + 22 = 220 cm²
Answer:
220 is The Correct Answer
Letter Choice (A)
Step-by-step explanation:
HERE'S MY PROOF AND MY RESEARCH
Area of a rectangle = width x height
Area of a triangle = 1/2 x base x height
Area of the rectangle = 11 x 18 = 198 cm²
Area of the triangle = 1/2 x (18 - 7) x (15 - 11) = 22 cm²
Therefore, area of the polygon = 198 + 22 = 220 cm²
Under his cell phone plan, Jacob pays a flat cost of $40.50 per month and $3 per
gigabyte. He wants to keep his bill at $48.90 per month. Write and solve an equation
which can be used to determine g, the number of gigabytes of data Jacob can use
while staying within his budget.
How do you find the maximum height of an object with only time
We have the formula h = 16t^2 - 80t
if you solve it you get 5 seconds for the time it is in the air. how do you find the maximum height from this
6000
Step-by-step explanation:
[tex]16t ^{2} - 80t[/tex]
substitute t to 5(seconds)
[tex]16(5) ^{2} - 80(5) \\ 6400 - 400 \\ = 6000[/tex]
In the equation above, a is a constant. If the equation has the solutions x = -2 and 3 =
a
what is the value of a?
Answer:
a = 2
Step-by-step explanation:
ax² + 5x + 2 = 0
a ( - 2 )² +5 ( - 2 ) + 2 = 0
4a = 8
a = 2
(Please someone help me!) (No links!)
Theo wants to use a cookie recipe that makes 36 cookies but he wants to reduce the number of cookies to 24. If the recipe specifies using 4.5 cups of flour, how much flour should he use?
Answer:
3 cups
Step-by-step explanation:
[tex]36 : 24 = 4.5 : x[/tex]
where [tex]x[/tex] is the amount of flour he should use
Therefore,
[tex]\frac{36}{24} = \frac{4.5}{x}[/tex]
Cross multiply: [tex]36x = 4.5 \times 24[/tex]
[tex]\implies 36x = 108[/tex]
Divide both sides by 36: [tex]x = 108 \div 36 = 3[/tex]
Therefore, he should use 3 cups of flour
Mckenzie has been saving her earnings from mowing the
neighborhood lawns. She has 22 dollars and wants to spend it
all on games. If each game costs 3 dollars, how many can
Mckenzie buy?
Answer:
7 games
Step-by-step explanation:
22 / 3 =
7.33
Mckenzie can buy 7 games
what is -8, -9 across the x-axis and then across the y-axis
this is your answer...........
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4, 8)
(0,0)
-10
10
10
0
A. y = 1/2 x
B. y = 4x
0
y
c. y = - 1/2 x
D. y
E. y = 2x
F. V = -2
Answer:
Y=-2X
Step-by-step explanation:
The equation of the line that passes through points (0, 0) and (-4, 8) is
y = -2x.
Option F is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of a line given two points, we can use the point-slope form of the equation of a line:
[tex]y - y_1 = m(x - x_1)[/tex]
where m is the slope of the line and (x_1, y_1) are the coordinates of one of the points on the line.
Given the coordinates (0, 0) and (-4, 8), we can find the slope of the line:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
= (8 - 0) / (-4 - 0)
= -2
Now that we have the slope of the line, we can choose one of the points to plug into the point-slope form.
Let's use (0, 0):
[tex]y - y_1 = m(x - x_1)\\y - 0 = -2(x - 0)\\y = -2x[/tex]
Therefore,
The equation of the line that passes through points (0, 0) and (-4, 8) is
y = -2x.
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Write an equation for a line parallel to y=-3x + 11 and goes through the point (2,4)
Answer:
equation: y = -3x + 10
Step-by-step explanation:
y = -3x + 11
comparing the formula, y = mx + b
We can determine the slope is -3 and y-intercept is 11.
if the line passes (2,4)
use the formula:
y - y1 = m(x - x1)
y - 4 = -3(x - 2)
y = -3x + 6 +4
y = -3x + 10
please I need the answers now
#a
[tex]\\ \tt\hookrightarrow 2(2x+1)=30[/tex]
[tex]\\ \tt\hookrightarrow 4x+2=30[/tex]
[tex]\\ \tt\hookrightarrow 4x=28[/tex]
[tex]\\ \tt\hookrightarrow x=7[/tex]
#b
[tex]\\ \tt\hookrightarrow 3(4x-3)=-12[/tex]
[tex]\\ \tt\hookrightarrow 12x-9=-12[/tex]
[tex]\\ \tt\hookrightarrow 12x=-3[/tex]
[tex]\\ \tt\hookrightarrow x=-1/4[/tex]
#c
[tex]\\ \tt\hookrightarrow 4(2x-7)=20[/tex]
[tex]\\ \tt\hookrightarrow 2x-7=5[/tex]
[tex]\\ \tt\hookrightarrow 2x=12[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
#d
[tex]\\ \tt\hookrightarrow 7(3x-4)=63[/tex]
[tex]\\ \tt\hookrightarrow 3x-4=9[/tex]
[tex]\\ \tt\hookrightarrow 3x=13[/tex]
[tex]\\ \tt\hookrightarrow x=13/3[/tex]
#e
[tex]\\ \tt\hookrightarrow 6(3x+3)=-72[/tex]
[tex]\\ \tt\hookrightarrow 18x+18=-72[/tex]
[tex]\\ \tt\hookrightarrow 18x=-90[/tex]
[tex]\\ \tt\hookrightarrow x=-5[/tex]
#f
[tex]\\ \tt\hookrightarrow -2(6x-3)=6[/tex]
[tex]\\ \tt\hookrightarrow 6x-3=-3[/tex]
[tex]\\ \tt\hookrightarrow 6x=0[/tex]
[tex]\\ \tt\hookrightarrow x=0[/tex]
The value of x is 7.
The value of x is -1/4.
The value of x is 7.
The value of x is 4 1/3.
The value of x is -5.
The value of x is 0.
What is the value of x in the equations?2(2x + 1) = 30
The first step is to divide both sides of the equation by 2
2x + 1 = 15
Combine similar terms
2x = 15 - 1
2x = 14
x = 7
3(4x - 3) = -12
The first step is to divide both sides of the equation by 3
4X - 3 = -12 /3
4x - 3 = -4
Combine similar terms
4x = -4 + 3
4x = - 1
x = -1/4
4(2x - 7) = 20
The first step is to divide both sides of the equation by 4
2x - 7 = 5
Combine similar terms
2x = 5 + 7
2x = 12
x = 6
7(3x - 4) = 63
The first step is to divide both sides of the equation by 7
3x - 4 = 9
Combine similar terms
3x = 9 + 4
3x = 13
x = 4 1/3
6(3x + 3) = -72
The first step is to divide both sides of the equation by 6
3x + 3 = - 12
Combine similar terms
3x = -12 - 3
3x = -15
x = -5
-2(6x - 3) = 6
The first step is to divide both sides of the equation by -2
6x - 3 = -3
Combine similar terms
6x = -3 + 3
6x = 0
x = 0
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What is 45 minutes before 2:15
Answer:
1:30
Step-by-step explanation:
45 min = 15 min + 30 min
15 min before 2:15 is 2:00.
30 min before 2:00 is 1:30.
What is X if X + 2/3 = 9/10?
Answer:
[tex]x=\frac{7}{30}[/tex]
Step-by-step explanation:
Given the following question:
[tex]x+\frac{2}{3} =\frac{9}{10}[/tex]
In order to find the answer to this question we need to subtract 9/10 from 2/3. To do this we need to find the common denominator, and then subtracting the numerators.
[tex]\frac{9}{10} -\frac{2}{3}[/tex]
[tex]\frac{9}{10} \times3=\frac{27}{30}[/tex]
[tex]\frac{2}{3} \times10=\frac{20}{30}[/tex]
[tex]27-20=7=\frac{7}{30}[/tex]
[tex]x=\frac{7}{30}[/tex]
Hope this helps.
2 of 10
Find the area of this semi-circle with radius, r = 95cm.
Give your answer rounded to 1 DP.
rcm
The diagram is not drawn to scale.
cm2
I am 6 years old my sister is 3 years old I am 30 years old how old is my sister
27
Step-by-step explanation:
you are 6 years old while your sister is 3.
so you're basically 3 years older than her, now that you're 20 let's just subtract 3 from it.
[tex]20 - 3 = 27[/tex]
Answer:
27
Step-by-step explanation:
6-3 = 3
30-3 = 27
what's the Answer ???
[tex] \tiny{ \tiny{(5 + 5 - 5 - 5) \div (2 + 2 + 2 - 6)}}[/tex]
Answer:
undefined.
explanation:
→ [tex](5+5-5-5) / ( 2+2+2-6)[/tex]
[ things inside the brackets are necessary to work out first ]
→ [tex](10-10) / (6 - 6 )[/tex]
→ [tex]\frac{0}{0}[/tex]
→ undefined.
[ as [tex]\frac{x}{0}[/tex] is undefined ]
[tex] \boxed{ \sf Answers \: is \: 0}[/tex]
(5 + 5 - 5 - 5) ÷ (2 + 2 + 2 - 6)( 10 - 10 ) ÷ ( 4 - 4 ) 0 / 0 UndefinedHope Helps! :)
en una clase de 2 de la eso hay el doble de chicas que de chicos. Si hay 30 alumnos, ¿cuantos chicos y chicas hay en clase?
hay que hacerlo mediante ecuaciones plis que alguien me ayude(todos las operaciones pls)
linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4
Answer:
y = -4x + 14
Step-by-step explanation:
We'll use the slope intercept form: y = mx + b
It is given that the slope of -4, so m will be -4 like this: y = -4x + b
We are also given the coordinates where x = 3 and y =2
2 = -4(3) + b
2 = -12 + b
Add 12 to both sides
2 = -12 + b
+ 12 + 12
b = 14
We end up with y = -4x + 14
Which equation has a missing number that is different from the others?
Answer:
732 + 100 = __
Step-by-step explanation:
732 - 100 = 632
732 + 100 = 832
732 = 632 + 100
732 - 632 = 100