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3 years ago

Given ABCD, solve for x.

Mathematics

1 answer:

Anestetic [448]3 years ago

6 0

Answer:

A.9

Step-by-step explanation:

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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

Quick algebra 1 question for 10 points!

zaharov [31]

Answer:

○ $x = -7$

Step-by-step explanation:

Given the equation:

$10(x + 10) - 4 = 11 - 5(2x + 11)$ ,

to solve for $x$ , we have to rearrange the equation to make $x$ its subject.

$10(x + 10) - 4 = 11 - 5(2x + 11)$

⇒ $10x + 100 - 4 = 11 - 10x -55$ [expand brackets]

⇒ $10x + 96 = -44 - 10x$

⇒ $10x + 10x + 96 = -44$ [add $10x$ to both sides]

⇒ $20x + 96 = -44$

⇒ $20x = -44 - 96$ [subtract 96 from both sides]

⇒ $20x = -140$

⇒ $x = \frac{-140}{20}$ [divide both sides by 20]

⇒ $x = \bf-7$

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2 years ago

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Find the cosine 315º. Round your answers to the nearest hundredth if necessary. 0 0.71 1 –0.78

Fofino [41]

Cos 315° is about 0.71.

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3 years ago

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Name a subject other than math in which symmetry is important

sashaice [31]

Geometry is another subject in which symmetry is important.

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Millimeters Equal 15 centimeters 4 millimeters

Svetradugi [14.3K]

154mm

we know that 1cm = 10 mm

therefore 15cm= 10*15 mm

= 150 mm

and 4 mm

we get total mm= 15cm +4mm

= 150mm+4mm

= 154 mm

mm stands for millimeters and cm stand for centimeters

learn more of millimeter here brainly.com/question/25862563

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5 0

1 year ago