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3 years ago

Choose the graph that matches the following system of equations:

Mathematics

1 answer:

Lelu [443]3 years ago

4 0

In intercept form, the equations are
.. x/(-5/8) +y/(-1) = 1
.. x/(3/7) +y/(-1) = 1

The first line has intercepts (-5/8, 0) and (0, -1).
The second line has intercepts (3/7, 0) and (0, -1)

In the second graph, the (blue) line with positive slope has an x-intercept greater than 1/2. Neither line matches that. The intercepts match those of the first graph.

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Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea

amm1812

The number of cookies and trays are illustrations of greatest common factors.

The number of trays is 8
6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

(a) The number of trays

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

$\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}$

$\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}$

So, the GCF is:

$\mathbf{GCF= 2 \times 2 \times 2}$

$\mathbf{GCF= 8}$

Hence, the number of tray is 8

(b) The number of each type of cookie

We have

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

Divide each cookie by the number of trays

So, we have:

$\mathbf{Chocolate\ chip = \frac{48}{8} = 6}$

$\mathbf{Rainbow = \frac{64}{8} = 8}$

$\mathbf{Oatmeal = \frac{150}{8} = 15}$

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0

2 years ago

Which number sentence is true?

kiruha [24]

Answer:

The answer is B: -56.8 3.2 = 17.75

5 0

3 years ago

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I’ll give brainly Solve for x. 27 36 x 28 X= ?

alexandr402 [8]

Answer:

i dont understan the method you gave me can youbplease ask again showing a different method

6 0

3 years ago

The cone and the cylinder below have equal surface area. True or false.

WARRIOR [948]

Answer:

False

Step-by-step explanation:

The surface area of the cone is

$V=\pi r^2 +\pi rl$

$SA=\pi r^2 +\pi\times r\times 2r$

$SA=\pi r^2 +2\pi\times r^2$

$SA=3\pi r^2$

The surface area of the cylinder is:

$SA=2\pi r^2 +2\pi rh$

$SA=2\pi r^2 +2\pi\times r\times r$

$SA=4\pi r^2$

3 0

3 years ago

If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?

faust18 [17]

Question: If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?

Answer: Parabola

HOPE THIS HELPS! ^_^

6 0

3 years ago

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