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dezoksy [38]
3 years ago
15

a bakery uses 3/5 a cup of sugar for each cookies.How many batches of cookies can they make with 9 cups of sugar?

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

12

Step-by-step explanation:

divide 9 by 3/5 or .75

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Graph the image of square CDEF after a dilation with a scale factor of 2, centered at the
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Step-by-step explanation:

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2 years ago
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
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The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

  • The correct option for the toy chest she should purchase is; <u>Only toy chest A will provide the necessary storage space</u>.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

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Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; <u>Only toy chest A will provide the necessary storage space</u>

<em>Possible question options obtained from a similar question found online are;</em>

<em>Either toy chest have the storage space needed</em>

<em>Neither has the storage space needed</em>

<em>Only toy chest A</em>

<em>Only toy chest B</em>

<em />

<em />

Learn more about calculating volumes of various shapes here:

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2 years ago
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murzikaleks [220]

Answer:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

Step-by-step explanation:

Slope-intercept form of a <u>linear equation</u>:

\boxed{y=mx+b}

where:

  • m is the slope.
  • b is the y-intercept (where the line crosses the y-axis).

<u>Slope formula</u>

\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}

<u>Equation 1</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(-1, 6)
  • \textsf{Let }(x_2,y_2)=(0, 1)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=-5x+1

<u>Equation 2</u>

<u />

Define two points on the line:

  • \textsf{Let }(x_1,y_1)=(1, 1)
  • \textsf{Let }(x_2,y_2)=(0, -4)

<u>Substitute</u> the defined points into the slope formula:

\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

y=5x-4

<u>Conclusion</u>

Therefore, the system of linear equations shown by the graph is:

\begin{cases}y=-5x+1\\y=5x-4 \end{cases}

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1 year ago
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