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3 years ago

10

Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of package

s she must purchase in order to have the same amount of each item. Olivia's mom should purchase bags of apples.
Please help me

1 answer:

Rasek [7]3 years ago

6 0

Answer:

just look for the LCM of 6,8,12,9 then that will be your answer

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Look at the attachment please!

Tju [1.3M]

See the attached picture:

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3 years ago

Find the length of the line PA.

Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

$A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60$

The area of right triangle:

$A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30$

Use the Pythagorean theorem to calculate the length of RO:

$|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13$

The formula of an area of this right triangle is:

$A_T=\dfrac{1}{2}|RO||PA|$

Therefore we have the equation:

$\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62$

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3 years ago

What is the weight (in grams) of a liquid that exactly fills a 465.0 milliliter container if the density of the liquid is 0.982

Fynjy0 [20]

Answer:456.63

Step-by-step explanation:

8 0

2 years ago

Beatrice built about 1/3 of a sandcastle. Linda built 4/7 of the same castle. What fraction of the sandcastle did they build tog

wlad13 [49]

Answer

Find out the what fraction of the sandcastle did they build together .

To prove

Let us assume that the fraction of the sandcastle they build together be x .

As given

$Beatrice\ built\ about\ \frac{1}{3}\ of\ a\ sandcastle.$

$Linda\ built\ \frac{4}{7}\ of\ the\ same\ castle.$

Than the equation becomes

$x = \frac{1}{3} +\frac{4}{7}$

L.C .M of (3,7) = 21

solving

$x = \frac{7 + 3\times4}{21}$

$x = \frac{19}{21}$

Therefore the fraction of the sandcastle did they build together be

$x = \frac{19}{21}$

Hence proved

4 0

3 years ago

Which pair of angles are supplementary?

Lina20 [59]

Supplementary angles are angles that add up to 180 degrees, aka one straight line. The supplementary angles here are:

1 and 2, 1 and 3, 2 and 4, 3 and 4, 5 and 6, 6 and 8, 7 and 8, and 6 and 7. Well, those are the more obvious ones. 1 and 7 are supplementary because if you envision them next to each other, you’ll see that they create a straight line. So, with that logic, 3 and 5 are supplementary because when you put them together, they create a straight line

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3 years ago