Answer:
1/6
Step-by-step explanation:
Let
c-----> the number of cola bottles that Dan picks
s ----> the number of smarties that Dan picks
m ---> the number of marshmallows that Dan picks
we know that
c=3s ----> equation A
m=2s ---> equation B
we know that
To find out the proportion of the bag of sweets that are smarties, divide the number of smarties by the total of sweets
The total of sweets is equal to
(c+s+m)
substitute equation A and equation B in the total of sweets
(3s+s+2s) =6s
Find the proportion
s/6s
Simplify
1/6
The proportion of smarties in Dan's bag of sweets, in its simplest form, is 1/6.
Explanation:To solve the question about what proportion of the bag of sweets are smarties, let's assume Dan picks x number of smarties. Following the information provided, he picks 3 times as many cola bottles as smarties, which is 3x, and twice as many marshmallows as smarties, which is 2x. The total number of sweets in the bag is the sum of smarties, cola bottles, and marshmallows, which amounts to x + 3x + 2x = 6x. The proportion of smarties in the bag is the number of smarties divided by the total number of sweets, so we get:
Proportion of smarties = Number of smarties / Total number of sweets = x / 6x = 1/6.
The proportion of smarties in the simplest form is 1/6.
the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centimeters long,how long is the actual room
Answer:
6meters
Step-by-step explanation:
Use simple proportion
2cm = 1m
12cm = ?
(12x1)/2 = 6m
Answer: 6m
Step-by-step explanation:
write the opposite number sentence
10 -7 = 3
Answer:
the opposite number sentence is 10=7+3
The opposite number sentence 10 - 7 = 3 will be 10 = 3 + 7.
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.
The sentence is given below.
10 - 7 = 3
Simplify the equation, then the equation can be written as,
10 - 7 = 3
10 = 3 + 7
The opposite number sentence 10 - 7 = 3 will be 10 = 3 + 7.
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What is -18x - x = 5x -6 PLEASE ANSWER CORRECTLY IT IS MY HOMEWORK
Answer:
[tex]\large\boxed{x=\dfrac{1}{4}}[/tex]
Step-by-step explanation:
[tex]-18x-x=5x-6\\\\-19x=5x-6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-19x-5x=5x-5x-6\\\\-24x=-6\qquad\text{divide both sides by (-24)}\\\\\dfrac{-24x}{-24}=\dfrac{-6}{-24}\\\\x=\dfrac{6:6}{24:6}\\\\x=\dfrac{1}{4}[/tex]
7. Write the number 0.21212121... as a fraction.
Let x =
100x =
100x - x =
99x =
x=
So 0.2121... is equal to
Answer:
21 / 99
Step-by-step explanation:
You want to get rid of the decimals so
Let x = 0.21212121
then 100x = 21.21212121
then 100x - x = 21
99x = 21
x = 21 / 99
So 0.2121... is equal to 21 / 99
To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. The fraction equivalent of the decimal is 21/99.
Explanation:To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. Let x = 0.21212121... . Multiplying both sides of the equation by 100 gives 100x = 21.21212121... . Subtracting the original equation from this, we get 99x = 21, which means x = 21/99. Therefore, the decimal 0.21212121... is equal to the fraction 21/99.
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A bowling ball is traveling at 15 mi/h when it hits the
pins. How fast is the bowling ball traveling in feet per
second?
In what direction are operations done?
A. Right to left
B. Left to right
Answer:
B
Step-by-step explanation:
The answer is "B", "Left-To-Right"
If your doing Apex or anything then this is the correct answer
Hopefully it helps :D
In mathematical operations, the direction can be from left to right or right to left, but in general, operations are performed according to the BODMAS/PEDMAS rule, which directs us from left to right.
Explanation:In mathematical operations, the direction can be either from left to right or right to left, this largely depends on the specific operation field. However, in general, mathematics operations follow the BODMAS/PEDMAS rule, and the operations are performed from left to right.
The rule simply states: Brackets, Orders (exponential, square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). If you have, for example, a problem like 3 + 4 * 2, you would first perform the multiplication (4*2 = 8), then add the answer to 3, for a total of 11.
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−7⋅8 pls help asap help
Answer:What do you need help with
Use the number 913,256.
4. Write the name of the
period that has the
digits 913.
Answer:
ummm the thousands im pretty sure
Step-by-step explanation:
Neeeed help pleaseeeee????
Answer:
Leonard did make an error. He should have multiplied -7 by -5
Step-by-step explanation:
When you multiple a negative by a negative, it is a positive.
What is 8+w/4 when w =16
Answer:12
Step-by-step explanation:16/4=4, 8+4=12
Answer:
12
Step-by-step explanation:
8+w/4, when w=16
8+16/4
8+4=12
which of the following is equivalent to the equation 4x+7y=z?
The equivalent expression is: B. y = ((z + 4x)) / 7
To find an equation equivalent to 4x + 7y = z, we want to isolate one of the variables (either x or y on one side of the equation.
Let's isolate x in terms of y and z:
Starting with 4x + 7y = z, subtract 7y from both sides:
4x = z - 7y
Now, divide both sides by 4 to solve for x:
[tex]\[x = \frac{z - 7y}{4}\][/tex]
Therefore, the correct choice is option B: [tex]\(x = \frac{z - 7y}{4}\)[/tex].
Complete question:
Which of the following is equivalent to the equation 4x+7y=z ?
A. x=4z-28y
B. x= ((z-7y))/4
C. y=7z+28x
D. y= ((z+4x))/7
Find the value of W and please show step by step working out
Answer:
w = 60
Step-by-step explanation:
Given
[tex]\frac{4w}{10}[/tex] + 28 = 52 ( subtract 28 from both sides )
[tex]\frac{4w}{10}[/tex] = 24
Multiply both sides by 10 to clear the fraction
4w = 240 ( divide both sides by 4 )
w = 60
The shaded rectangle shown below is a scale drawing of a rectangle whose area is 288 square feet. What is the scale factor of the drawing? (Note: Each square on the grid has a length of 1 unit.)
Answer:
2881
Step-by-step explanation:
Answer:
1 sq.unit = 9 sq.feet
Step-by-step explanation:
Length of shaded rectangle = 6 square on grid
We are given that Each square on the grid has a length of 1 unit.
So, Length of shaded rectangle = 6 units
Breadth of shaded rectangle = 4 square on grid = 4 units
Area of shaded rectangle = [tex]Length \times Breadth = 8 \times 4 = 32 units^2[/tex]
We are given that area of original square = 288 sq.feet
32 sq.unit = 288 sq.feet
1 sq.unit = [tex]\frac{288}{32} =9[/tex]
So, 1 sq.unit = 9 sq.feet
Hence Scale is 1 sq.unit = 9 sq.feet
Write an equation in slope intercept form of the line with slope of 3/5 and y intercept of -3
Answer: y= 3/5x-3
Step-by-step explanation:
kimos car needed work the mechanic charged him 146.36 for parts plus 48$ per hour for labor if the mechanic worked for 3.5 hours how much did kimo pay
Please need help on this
Answer:
a. 276 vehicles
Step-by-step explanation:
7⁄10[13½] + 3⁄10[20] + 3v - 3 = [4][5280]
[tex] \frac{10323}{( \frac{7}{10})(13 \frac{1}{2}) + ( \frac{3}{10})(20) + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 6 + 3} = v \\ \\ \frac{10323}{9 \frac{9}{20} + 9} = v \\ \\ \frac{10323}{18 \frac{9}{20}} = v \\ \\ 559 \frac{21}{41} = v[/tex]
Now, we check to see which answer choice this quantity is closer to. Obviously, we will take 896 and 276:
-559 21⁄41 + 896 = 336 20⁄41
559 21⁄41 - 276 = 28221⁄41 → we take this number
* 559 21⁄41 is much more closer to 276 than it is to 896.
I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.
What is (f ° g)(2) and (g ° f)(2) with the set of points f: {(0,4), (1,2), (2,0), (3,2), (4,4)} and g: {(0,4), (1,3), (2,2), (3,1), (4,0)}
Answer:
[tex]\large\boxed{(f\circ g)(2)=0}\\\boxed{(g\circ f)(2)=4}[/tex]
Step-by-step explanation:
[tex]f:\{(0,4), (1,2), \underline{(2,0)}, (3,2), (4,4)\}\\\\g:\{\underline{(0,4)}, (1,3), \underline{(2,2)}, (3,1), (4,0)\}\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\g(2)=2\qquad/from\ (2,2)/\\f\bigg(g(2)\bigg)=f(2)=0\qquad/from\ (2,0)/\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(2)=0\qquad/from\ (2,0)/\\g\bigg(f(2)\bigg)=g(0)=4\qquad/from\ (0,4)/[/tex]
I need help with number 1
Answer:
1a. 0< -4 false
1b. -3> or = -7 true
1c. 4<= -1/2 false
what are the coordinates of point T’, the image of point T(-2,5) after a rotation of 180 about the origin
Answer:
T'(2, - 5 )
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ), thus
T(- 2, 5 ) → T'(2, - 5 )
After a 180-degree rotation about the origin, the coordinates of point T' that is the image of T(-2,5) are (2,-5).
The coordinates of point T' after a rotation of 180 degrees about the origin are found by changing the signs of the original coordinates. The point T(-2,5) will thus be mapped to point T'(2,-5). This is because the 180-degree rotation reverses the direction of both the x and y coordinates. So, if the original point T has coordinates (x, y), then the rotated point T' will be (-x, -y).
The current value of a baseball card is 60 times its original value v
(in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card.
Solve for y 3(2y+5)=33 what do y=
Answer:
y = 3
Step-by-step explanation:
Given
3(2y + 5) = 33 ( divide both sides by the multiplier 3 )
2y + 5 = 11 ( subtract 5 from both sides )
2y = 6 ( divide both sides by 2 )
y = 3
Please help!!!!!!!!! ☝
Answer: About 9
Step-by-step explanation:
4/7 of 20 is about 11. 20-11 is 9
What is equal to 20/40?
Answer:
1/2 is equal to 20/40
that is the answer
20/40
divide the fraction by 20
20/20=1
40/20=2
Answer: 1/2
Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 pages left to read.
Let yyy represent the number of pages left to read after xxx hours.
Complete the equation for the relationship between the number of pages left and number of hours.
Answer:
[tex]y=-55x+570\\[/tex]
Step-by-step explanation:
Ah im too lazy to type out everything
The equation for the relationship between the number of pages left and number of hours is y = 555x - 555 * 444.
The relationship between the number of pages left to read (y) and the number of hours (x) can be represented by a linear equation.
Naoya reads at a rate of 555 pages per hour, which means he reads 555 pages in one hour. In 444 hours, he read 555 * 444 pages.
So, the equation for the relationship between the number of pages left and the number of hours is:
y = 555x - 555 * 444
In this equation:
- y represents the number of pages left to read.
- x represents the number of hours.
- 555x represents the number of pages he reads in x hours (555 pages per hour).
- 555 * 444 represents the total number of pages he read in 444 hours.
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The product of a number m and 1.7 is 6.63.
What is the value of m?
Drag and drop the correct number into the box so that the equation is true.
Answer:
3.9
Step-by-step explanation:
If m and 1.7 is 6.63, then m will be:
6.63 ÷ 1.70 = 3.9
Therefore the correct answer is 3.9
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Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point
(5, -4)? Select three options.
y=-2 X-2
2x +hoy = -10
L2x - 5y = -10
y+ 4 = _{(x - 5)
y- 4 = 5(x+5)
Answer
See below
Step-by-step explanation:
The given line has equation
[tex]5x - 2y = - 6[/tex]
The slope intercept form is
[tex]y = \frac{5}{2} x + 3[/tex]
The slope of this line is
[tex] m = \frac{5}{2} [/tex]
The line perpendicular to this line has slope
[tex] - \frac{2}{5} [/tex]
If this line passes through (5,-4), the point-slope form is
[tex]y + 4 = - \frac{2}{5} (x - 5)[/tex]
The slope-intercept form is
[tex]y = - \frac{2}{5} x- 2[/tex]
The standard form is
2x+5y=-10
There are 15 pieces of fruit in a box . 4 are apples. There are 3 more pears than bananas. How many pears are in the box ?
Compute the average (mean) from the data shown. (round to the nearest tenth)
{48 , 95 , 73 , 39 , 78 , 41 , 89 , 29 , 95}
Answer:
65.2
Step-by-step explanation:
Add them together and divide the answer by 9
If sales tax is 7%, what is the total cost of both a new iphone that is $600 and a $50 case?
The cost for the phone and the case is 600 + 50 = $650
Multiply total cost by 7% to get the tax.
The tax would be 650 x 0.07 = $45.50
Add the tax to price of the phone and case to get total:
650 + 45.50 = $695.50
what is the fraction 108/132 in lowest terms
[tex]\frac{108}{132} = \frac{9}{11}[/tex] in simplest form.