Answer: There are 25 crates and 15 boxes in the truck when it is full.
Step-by-step explanation:
Let c= Number of crates , b= Number of boxes.
As per given,
[tex]c+b = 40[/tex] (i)
[tex]3c=5b\\\\\Rightarow\ c=\dfrac{5b}{3}[/tex] (ii)
Put value of c from (ii) in (i)
[tex]\dfrac{5b}{3}+b = 40\\\\\Rightarrow\ \dfrac{5b+3b}{3}=40\\\\\Rightarrow\ \dfrac{8b}{3}=40\\\\\Rightarrow\ 8b=3\times40\\\\\Rightarrow\ 8b=120\\\\\Rightarrow\ b=\dfrac{120}{8}=15[/tex]
put value of b in (ii),
[tex]c=\dfrac{5\times15}{3}=5\times5=25[/tex]
Hence, there are 25 crates and 15 boxes in the truck when it is full.
25 boxes 15 crates
We would get this solution by adding up the two sides comparing the ratios, hence: we get room for 3 crates for every 5 boxes that we can hold in the truck.
What are ratios?A ratio is an ordered pair of numbers a and b, written a:b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. hence, if there is 3 crates and 5 boxes you could write the ratio as: 3 : 5 (for every 3 crates there are 5 boxes) 3 / 5 are boys and 5 / 3 are crates.
solve for x????????
Answer:
x = 17 :)
Step-by-step explanation:
90-73=17
Answer:
17 degrees
Step-by-step explanation:
90 degree angle so 90-73=17
3(2x+5)=2(3x+3) solve for x
Answer:
x=(-9)
Step-by-step explanation:
I'm pretty sure
Help me please I really need answers fast so I'd really appreciate your help I've been stuck on this since yesterday
Fill in each blank with a reason that justifies the statement. Given: ∠CDE and ∠EDF are supplementary.
Statement Reasons
m∠CDE + m∠EDF = 180° a. Definition of Supplementary Angles
x° + (3x + 60)° = 180° b. _________
4x° + 60° = 180° c. _________
4x° = 120° d. _________
x° = 30° e. _________
Answer:
[tex]x° + (3x + 60)° = 180° \: b. \: \boxed{combine \: like \: terms}
\\ 4x° + 60° = 180° c. \: \boxed{additive \: property \: of \: equality}
\\ 4x° = 120° d. \: \boxed{division \: property \: of \: equality}
\\ x° = 30° e. \: \boxed{division \: property \: of \: equality}[/tex]
Step-by-step explanation:
♨Rage♨
you want to frame a collage of picture with a 9ft strip of wood. What dimensions will help you maximize the area?
Answer:
Suppose you want to frame a collage of pictures. You have a 9-ft strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area?
A:
Perimeter = 2(L + W) 9 = 2(L+W) L+W = 4.5 L = 4.5-W Area = LW Area = (4.5-W)W A = 4.5W - W^2 You have a quadratic with a = -1 and b = 4.5 Maximum area occurs when W = -b/(2a) = 4.5/(2*-1) = 2.25
Step-by-step explanation:
Dimension of the picture with 9ft strip of wood is
length = 2.25 ft and width =2.25 ft
Given :
you want to frame a collage of picture with a 9ft strip of wood.
the perimeter of the frame is 9 ft
Perimeter of rectangle = 2(length +width )
Let 'l' be the length and 'w' be the width
[tex]Perimeter =2(l+w)\\9=2(l+w)\\Divide \; by \; 2\\l+w=4.5\\l=4.5-w[/tex]
Now we find the area
[tex]Area = length \cdot width \\Area= l \cdot w\\A= (4.5-w)(w)\\A=-w^2+4.5w[/tex]
Now we find out 'w' where area is maximum
[tex]w=-\frac{b}{2a} \\a=-1 and b=4.5\\w=-\frac{4.5}{2(-1)} =2.25[/tex]
Width =2.25 gives us maximum area
Now find out the length ,
[tex]Length = 4.5 -w\\w=2.25\\Length = 4.5-2.25=2.25[/tex]
Dimension of the picture is length = 2.25 ft and width =2.25 ft
Learn more : brainly.com/question/20977367
Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?
Answer: The perimeter of rectangle M'N'O'P' =54 cm
Step-by-step explanation:
When we dilated a figure , then the image is the similar figure them the original.
For similar figures,
[tex]\dfrac{\text{Area of original figure}}{\text{Area of image}}=\dfrac{(\text{perimeter of original figure})^2}{(\text{perimeter of image})^2}[/tex]
As per given, Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm².
Area of M'N'O'P' = 126 cm²
then,
[tex]\dfrac{14}{126}=\dfrac{18^2}{(\text{(perimeter of M'N'O'P'})^2}\\\\\Rightarrow\ \text{(perimeter of M'N'O'P'})^2=\dfrac{324}{14}\times126\\\\\Rightarrow\ \text{(perimeter of M'N'O'P'})^2=2916\\\\\Rightarrow\ \text{perimeter of M'N'O'P'}=\sqrt{2916}=54[/tex]
Hence, the perimeter of rectangle M'N'O'P' =54 cm
what is the polynomial expansion of 5x (7х + 3)
Answer:
50x
Step-by-step explanation:
5x(7x + 3)
(7x + 3)= 10x
5x x 10x=50x
Evaluate 16/6 - 2/9
A 4 2/3
B 2 2/3
C 1 5/9
D 2 4/9
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water.How much water will he need if he uses 1 1/2 cups of corn grits
Which of these graphs represent a function?
Will mark brainliest!!!
Answer:
id say d
Step-by-step explanation:
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
Answer:
$1.44
Step-by-step explanation:
$11.52 (divided by) 8 = $1.44
The cost of each candy necklace will be $1.44 per candy necklace.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Rosa spent $11.52 on 8 candy necklaces for each of her two friends.
Then the cost of each candy necklace will be given by dividing $11.52 by 8.
⇒ $11.52 / 8
⇒ $1.44 per candy necklace
The cost of each candy necklace will be $1.44 per candy necklace.
More about the Algebra link is given below.
https://brainly.com/question/953809
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What is the rate of change of the points (4,-1) and (7,5)
Answer:
2
Step-by-step explanation
Rate of change is the slope, [tex]\frac{Y}{X}[/tex]
The distance from our y values which are -1 and 5 is 6.
The distance from our x values which 4 and 7 is 3.
Since its [tex]\frac{Y}{X}[/tex] The 6 would be over the 3 as 6/3 which simplifies to 2 or 2/1.
Write the equation of the line in slope - intercept form
Answer:
Y=2/5x+3
Step-by-step explanation:
Y=mx+b
The slope is rise over run to the next whole number (up 2 and over 5).
The intercept for Y is 3.
Please answer the image below
Answer:
Graph second down on the left
Step-by-step explanation:
Describe the transformation.
f(x)=x2+4
shift 4 units left
shift 4 units up
shift 4 units right
shift 4 units down
PLEASE ANSWER
What is the annual income for a librarian earning $28.50 per hour who works 40 hours per week?
Answer:
28.5*40=1140
1140*52=59280
So the librarian makes an earning of $59,280 per year
Answer: $59,280
Step-by-step explanation:
multiply $28.5 by 40 to get how much she makes in a week= $1,140 multiply that by 52 because there are 52 weeks in a year and you get $59,280
Suri travels by train when she is on vacation. These are the trains she rode this summer. Amtrak: 80 miles in 4 hours Metra: 30 miles in 2 hours a) How far will the Metra go in 6 hours? b) How long will it take Amtrak to travel 160 miles?
Answer:
a) The Metra will go 90 miles in 6 hours
b) It will take Amtrak 8 hours to travel 160 miles.
Step-by-step explanation:
From the question,
Metra travels 30 miles in 2 hours
a) To determine how far the Metra will go in 6 hours,
Let how far the Metra will go in 6 hours be x
Then,
If Metra goes 30 miles in 2 hours
Then, Metra will go x miles in 6 hours
x = (30 × 6)/2 miles = 90 miles
Hence, the Metra will go 90 miles in 6 hours.
b) To determine how long it will take Amtrak to travel 160 miles,
Let how long it will take Amtrak to travel 160 miles be y
From the question,
Amtrak travels 80 miles in 4 hours
Now,
If Amtrak travels 80 miles in 4 hours
Then, Amtrak will travel 160 miles in y hours
y = (160 × 4)/80 hours = 8 hours
Hence, it will take Amtrak 8 hours to travel 160 miles.
what is equivalent to 1
Answer:
Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20.
Step-by-step explanation:
Answer: 1. because anything times 1 will get you that same number again.
Step-by-step explanation:
Decimal Question ,,,
Answer:
the answer is 1/2
Step-by-step explanation:
.79 2/3 1/2 .4
Which equation represents the vertex form of the equation y = x2 + 2x - 6?
Answer:
y=(x+1)^2-7
Step-by-step explanation:
y=x^2+2x-6=x^2+2x+1-7
y=(x^2+2*1*x+1^2)-7
y=(x+1)^2-7
vertex form equation is y=a(x-h)^2+k
of equation y=ax^2+by+c
so a is 1
h is -1 because (x+1)=(x-(-1))
k is -7
I need help with this word it’s math vocabulary I have been trying forever to see how to unscramble it and idk pls help ASAP
Answer:
hi is it null set? :))
Step-by-step explanation:
this thing : { }
Answer:
All I can think of is null set
A cafe made 3,600 in April which Is 6 times the amount of money made in March how much money did the cafe make in March ?
Answer:
600 dollars
Step-by-step explanation:
3600 divided by 6
Which function graph represents the following scenario?
The price of lobster is $7.50 per pound. This can be represented by the equation y = 7.50x.
can someone show me a GRAPH THAT fits scenario correctly ASAP I'm in a TIMED test
The graph of the linear function y = 7.50x has a slope of 7.50 and a y-intercept is 0
How to determine the graph of the equation?The equation is given as:
y = 7.50x
The above equation is a linear equation
A linear equation is represented by y = mx + c
Where m represents the slope and c represents the y-intercept
By comparison, we have:
The slope is 7.50 and the y-intercept is 0
See attachment for the graph of y = 7.50x
Read more about linear functions at:
https://brainly.com/question/4025726
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solve (2x+5) x (6x^2-4x+3x^4) x (x-1)
Answer:
6x^6 + 9x^5 - 3x^4 + 10x^3 - 42x^2 +20x
Step-by-step explanation:
brainlest?
Susan wants to adopt a kitten from the Humane Society they are currently having a special deal pay five out of seven of the original cost of the kitten plus a fee of $24 for having it microchip Susan spent a total of $89 on her new kitten buttercup what was the original cost of butter cup define a variable rate your equation and solve give all three parts in your answer
Answer:
The original cost of the butter cup was $91.
Step-by-step explanation:
Let x be the original price of the kitten butter cup.
Since Susan pays five out of seven of the original cos plus a fee of $24, the total amount she paid is 5x/7 + 24.
Now, this total amount equal the $89 she paid for the kitten butter cup. So,
5x/7 + 24 = 89.
We now solve this equation to find the original cost of the kitten butter cup.
So,
5x/7 + 24 = 89
Collecting like terms, we have
5x/7 = 89 - 24
5x/7 = 65
multiplying both sides by 7, we have
5x = 65 × 7
dividing both sides by 5, we have
x = 65 × 7 ÷ 5
x = 91
So the original cost of the butter cup was $91.
(8.25 x 10^2) X (3.65 x 10^7)
Answer:
825x, X, 36500000x
Evaluate using scientific notation
PLZ let me know if im wrong!!!
Answer if your certain plz help me
Answer:
a
Step-by-step explanation:
glenn has 2 times as many hats so, h2 and then he has 4 less so -4
Answer:
It would be the first, 2h-4
Step-by-step explanation:
H stands for hats
We don’t have the numbers to solve, which we don’t need for this problem. But if we were solving we would multiply the amount of hats Mia has by two (2h). It says Glenn has four less than that, so you would then subtract four from whatever 2h would equal.
12. David is 5.94 feet tall. What is his height to the nearest foot?
Answer:
6ft
Step-by-step explanation:
5.94 rounded up is 6
Answer:
6 feet
Step-by-step explanation:
If you round to the nearest foot, then You want to take the number before that one, and if it is above 5, then you can round the foot to the next number
what is 5.3274 rounded to the nearest thousand
Answer:
5.328
Step-by-step explanation:
IF (82;P = 84, what is the value of p? (5 points)
2
3
4
6
Answer:
I think that it is 2
Step-by-step explanation:
I took the test.
Answer:
2
Step-by-step explanation:
y
is inversely proportional to
x
.
When
y
=
25
,
x
=
4
Work out
x
when
y
=
20
Answer:
x = 5
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion
To find k use the condition when y = 25 , x = 4 , then
25 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
100 = k
y = [tex]\frac{100}{x}[/tex] ← equation of proportion
When y = 20, then
20 = [tex]\frac{100}{x}[/tex] ( multiply both sides by x )
20x = 100 ( divide both sides by 20 )
x = 5