Answer:
There were 240 cupcakes in the bakery
Step-by-step explanation:
Assume that the number of boxes used is x
∵ If 6 cups were placed in the box, there would be 20 boxes left
∴ The number of cups in each box = 6
∴ The number of boxes used = (x - 20)
→ Multiply the number of cups in each box by the number of boxes
used to find the total number of cups
∵ The number of cups = 6(x - 20)
∴ The number of cups = 6x - 120 ⇒ (1)
∵ If 3 cupcakes were placed in each box, it would run out of 20 boxes
∴ The number of cups in each box = 3
∴ The number of boxes used = (x + 20)
→ Multiply the number of cups in each box by the number of boxes
used to find the total number of cups
∵ The number of cups3(x + 20)
∴ The number of cups = 3x + 60 ⇒ (2)
∵ The number of cups is the same in the two cases
→ Equate the right sides of (1) and (2)
∴ 6x - 120 = 3x + 60
→ Add 120 to both sides
∴ 6x = 3x + 180
→ Subtract 3x from both sides
∴ 3x = 180
→ Divide both sides by 3 to find x
∴ x = 60
∴ The number of boxes used is 60
∵ In the bakery 4 cupcakes in one box
∵ The number of boxes is 60
∴ The number of cupcakes = 4 × 60
∴ The number of cupcakes = 240
∴ There were 240 cupcakes
Which statement is correct about the product of 423 and 78?
A. Because 78 is less than 1, the product of 423 and 78 is less than 423.
B. Because 78 is greater than 1, the product of 423 and 78 is less than 423.
C. Because 78 is less than 1, the product of 423 and 78 is greater than 423.
D. Because 78 is greater than 1, the product of 423 and 78 is greater than 423.
Answer:
D
Step-by-step explanation:
I hope this helped!
Answer:
d
Step-by-step explanation:
hello i need ur help
isabella thx so much for ur hep :D if u could keep it up tha would be great
Answer:its either 1 or 2
Step-by-step explanation:
Answer:
It would be the second one :) I think
Step-by-step explanation:
The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees?
Answer:
Step-Smallest angle = 40
by-step explanation:
Angle sum property:Sum of all three angles of triangle is 180
2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}
2x + 3x + 2x - 6 + 5 + 20 = 180
7x + 19 = 180 {Subtract 19 from both sides}
7x = 180 - 19
7x = 161 {Divide both sides by 7}
x = 161/7
x = 23
2x - 6 = 2*23 - 6 = 46 - 6 = 40
3x + 5 = 3*23 + 5 = 69 + 5 = 74
2x + 20 = 2*23 + 20 = 46 + 20 = 66
Find the distance from point A(−14, 5) to the line −x+2y = 14.
Answer:
The distance from point A to given line is: 2√5 or 4.472 units
Step-by-step explanation:
Given equation of line is:
[tex]-x+2y= 14[/tex]
And the point is:
[tex]A = (x_1,y_1) = (-14,5)[/tex]
The standard form of equation of line is:
[tex]Ax+By+C = 0[/tex]
Converting the given equation into standard form
[tex]-x+2y-14=0[/tex]
The distance of a point (x1,y1) from a line is given by the formula:
[tex]d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}[/tex]
In the given details,
A = -1, B = 2, C = -14
x1 = -14, y1 = 5
Putting the values in the formula
[tex]d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units[/tex]
Hence,
The distance from point A to given line is: 2√5 or 4.472 units
HELP!!! this is due today and i’m super dumb :( pls help me the help will be very much appreciated.
Answer:
Side length: 28
Area: 784
Step-by-step explanation:
Pythagorean
Hope This helps
Answer:
Side lengths of the square are 10 units. The area of the square is 100 units squared
Step-by-step explanation:
Use the Pythagorean theorem to find the hypotenuse of the right triangles. The lengths of the hypotenuses is the same as the side lengths of the square. Since it's a square all the sides are congruent(same length) To find the area of the square multiply the base times the height(10x10) because it's a square the area is squared. Therefore, the area is 100 units squared.
A 3.6 m long string is to be cut into pieces, each of length 40 cm. How many pieces can be cut from the string?
Arrange the following in ascending order of magnitude: 0.20, 5/12, 75%
The bearing of Lakeshore from Klayton is 196°. What is the bearing of Klayton from Lakeshore
Answer:
9 pieces
Step-by-step explanation:
first convert 40cm to m by dividing by 100cm
then divide 3.6m by 0.4 then the ans will come.
A) There are 9 strings each of length of 40 cm.
B) 0.20, 5/12, 75% is already in the ascending order.
C) The bearing of Klayton from Lakeshore is also 196°.
In mathematics, it deals with numbers of operations according to the statements.
A) A 3.6 m long string is to be cut into pieces, each of length 40 cm.
3.6 m = 3.6 * 100cm
3.6 m = 360 cm
Let the number of stings be x
x * 40 = 360
x = 360 / 40
x = 9
there are 9 strings each of length of 40 cm.
Arranging the following in ascending order of magnitude: 0.20, 5/12, 75%
0.20, 5/12, 75% is already in the ascending order.
The bearing of Lakeshore from Klayton is 196°. The bearing of Klayton from Lakeshore is also 196°.
Thus, the answers to the given problem are calculated above.
Learn more about arithmetic here:
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When a drawing of a circle made in the center of a piece of paper with a black marker gets wet, the marker bleeds, and as the water moves through the paper the ink separates into several colors.
What method of separation does this describe?
evaporation
distillation
filtration
chromatography
Answer: It is chromatography.
Step-by-step explanation:
when water or dye passes through a medium and changes color then that means it must be chromatography.
Chromatography is a method of separating a mixture into its components to study and analyze its various components.
The method of separation of the given situation is chromatography.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.
The area of a circle is given as πr².
We have,
Chromatography is a method of separating a mixture into its components to study and analyze its various components.
Evaporation is the process of converting liquid into vapor.
Distillation is the process of separating its components from a mixture by boiling.
Filtration is the process of separating its components into solid and fluid.
When a drawing of a circle made in the center of a piece of paper with a black marker gets wet, the marker bleeds, and as the water moves through the paper the ink separates into several colors.
This method is called chromatography.
Thus,
The method of separation of the given situation is chromatography.
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A boy is flying a kite in a park. He lets the kite reach a height of 30 feet. He then lets it drop 10 feet, before he lets it go back up another 25 feet. What is the current height of the kite?
45 feet would be the answer.
./....
Cotton wrote a Ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to cottons ratio
Answer:
4 to 3
Step-by-step explanation:
Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to Colton’s ratio?
Three-sevenths
Four-sevenths
3 to 4
4 to 3
Ratio of the number of sports video games that he owns to the number of driving video games that he owns = 4 : 3
number of sports video games that he owns : number of driving video games that he owns = 4 : 3
4 : 3 = 4 / 3
Three-sevenths = 3 / 7
Four-sevenths = 4 / 7
3 to 4 = 3 / 4
4 to 3 = 4 / 3
The equivalent ratio to Colton’s ratio is 4 to 3
Pls Help I need this in soon and am stuck, am giving out 25 points
Answer:
12
Step-by-step explanation:
Which one is correct
Answer: 1st one, porpostional
Step-by-step explanation:
Answer:
proportional is the answer
Bianca deposits $3,000 in a savings acct earning 4.25% simple interest per year.
Part A how much interest will Bianca earn for a period of 5 years
Part B how much money will be in biankas acct after 5 years?
Answer:
$637.50
Step-by-step explanation:
P = $3000
t= 5years
r = 4.25% per annum
Interest = (p×r×t)/100
= (3000×4.25×5)/100
= $637.50
Can you tell me that answers my grades close today
Answer:
x=7
m<2=33
Step-by-step explanation:
4x+5=5x-2
5+2=5x-4x
7=x
m<2=4x+5
m<2=4×7+5
m<2=28+5=33
PLease do this math u have 7 minutes to do this for BRAINIEST:)
Can y’all help me I don’t understand this
Answer:
Step-by-step explanation:
She read 30 pages in 25 minutes.
Rise over run is slope. Find the slope. That is the rate of change.
the y coordinate is (0,0)
PLZ help now i need help n
Answer:
7
Step-by-step explanation:
hey there,
< Here's how you do subtraction in fractions!
Make sure you find a least common denominator. Here, it's given to you to be 15. Usually, you can just multiply the two denominators but then it would be quite large at times, so you kind of just have to guess.
How did they go from [tex]\frac{4}{5} x-\frac{1}{3} x[/tex] to [tex]\frac{?}{15} x[/tex]?
Well, they used a least common denominator. 5 was multiplied by 3 to create 15, and 3 was multiplied by 5. But when you multiply the bottoms, you have to multiply the tops of the fraction too (the numerators).
So 4/5x was multiplied by 3. Denominator turned out to be 15, and now the top is 4x3 = 12. So the fraction is 12/15.
1/3x, on the other hand, was multiplied by 5. Denominator was also 15 so they're the same, and top is 1x5 = 5. So the fraction is 5/15.
Now, let's put them together.
[tex]\frac{12}{15}x-\frac{5}{15} x[/tex]
When subtracting x, the x just stays there, so if it was 10x-4x, the answer would've been 6x. So now let's subtract!
12-5 = 7, and the denominator stays the same.
The answer is [tex]\frac{7}{15} x[/tex]. So the numerator, or answer to your question, would be 7.
Hope this helped! Feel free to ask anything else.
Does this table represent a function ? Why or why not
Evaluate 12a+0.35b
When a = -0.25 and b = 10
Answer: 0.5
Step-by-step explanation:
You can substitute:
12(-0.25) + 0.35(10)=
-3 + 3.5=
0.5
A cylinder has a diameter of 18 centimeters. The length of the curved surface is
centimeters
Answer:
180πcm²
Step-by-step explanation:
The formula for calculating curved surface area of a cylinder is
CSA=2πrh
r I the radius= 18cm/2 = 9cm
Let the height be 19cm
CSA = 2π(9)(10)
CSA = 180πcm²
Hence the length of the curved surface area is 180πcm²
Note that the height of the cylinder was assumed
How do you solve a system of equations?
Example:
Answer:
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ...
Step 2: Substitute that equation into the other equation, and solve for x. ...
Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.
Which expression is equivalent to 4k+2k?
Answer:
it equals 6k but an equivalent expression could be 2k + 4k
Step-by-step explanation:
2k + 4k = 4k + 2k
Answer:
6k
Step-by-step explanation:
You can combine both of these terms because they both have the same variable (k). We know that 4+2=6, and the variable stays the same, 6k.
~theLocoCoco
What number makes the equation true? Enter the answer in the box.
- 5 = 9
Answer:
14
Step-by-step explanation:
220.4% as a decimal?
Answer: 2.204
Step-by-step explanation:
EL CERO EN LA MULTIPLICACIÓN ES...
EL CERO EN LA SUMA ALGEBRAICA ES..
Answer:
The multiplication property of zero is about multiplying 0. If you multiply a number by zero, the product will be zero.
Step-by-step explanation:
Express 4,102/7 in a decimal notation
Answer: To do that you divide the top to the bottom so 4,102 divided by 7 which is 586
Answer: 586
Step-by-step explanation:
The decimal notation is 586.0
What is Decimal?A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.
Given: 4,102/7
Now to write the above fraction into decimal we have to divide the fraction
as
4102/7= 586
As, the divides the fractions completely.
Hence, the decimal notation is 586.0
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0.21 times 10 to the power of 6 standard form
Answer:
0.000000210 x 10^{6}=0.21
You move up eight units and left eight units. You end at -5, 3. Where did you start?
Answer:
(-5+8,3-8) = (3,-5)
Step-by-step explanation:
Please help with picture below
9514 1404 393
Answer:
1.5 cm
Step-by-step explanation:
The midpoint of OB is 9/2 = 4.5 cm from O
The midpoint of OA is 12/2 = 6.0 cm from O
Since O is not on AB, we must have B on OA, so the distance between midpoints is ...
6 cm -4.5 cm = 1.5 cm . . . . distance between midpoints
How to do this question plz answer me
Answer:
[tex]d = \frac{4 - 3c}{c + 1} [/tex]
Step-by-step explanation:
To make d the subject of formula, we need to rearrange the equation such that we arrive at d= _____.
[tex]c = \frac{4 - d}{d + 3} [/tex]
Remove the fraction by multiplying (d +3) on both sides:
[tex]c(d + 3) = 4 - d[/tex]
Expand:
[tex]cd + 3c = 4 - d[/tex]
Bring all the d terms to one side and move the others to the other side of the equation:
[tex]cd + d = 4 - 3c[/tex]
Factorise d out:
[tex]d(c + 1) = 4 - 3c[/tex]
Divide by (c +1) on both sides:
[tex]d = \frac{4 - 3c}{c + 1} [/tex]
simplest form
7/8 - 1/6
Answer:
17/24
Step-by-step explanation:
hope this helped:)
Answer: i think it is 17/24
Step-by-step explanation: