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3 years ago

Bored.... freeupvote ( and really easy) what is 174 divided by 5 -_-

Mathematics

1 answer:

padilas [110]3 years ago

3 0

The number 5 goes into the amount 174 exactly 34.8 times :)

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Zoe needs to buy beads to make jewelry. For each earring, Zoe uses 3 small blue beads, 1 small metallic bead, and 2 large green

viva [34]

Zoe will need to buy 48 beads.
3 + 1 + 2 = 6.
6 x 8 = 48.
Hope this helps!!!:)

3 0

3 years ago

Your company is introducing a fruit drink packaged in an aluminum box with a square

solong [7]

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

$S=x^2\Rightarrow x=\sqrt{S}$

The volume of the box is

$V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}$

The surface area of the box is

$SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}$

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

$SA'(S)=(2S+144S^{-\frac{1}{2}})'=2-\dfrac{1}{2}\cdot 144\cdot S^{-\frac{1}{2}-1}=2-\dfrac{72}{S\sqrt{S}}$

Equate this derivative to 0:

$2-\dfrac{72}{S\sqrt{S}}=0\\ \\2S\sqrt{S}=72\\ \\S\sqrt{S}=36\\ \\S^{\frac{3}{2}}=6^2\\ \\S=6^{\frac{4}{3}}$

So, the dimensions that produce a minimum surface area for this aluminum box are:

$x=\sqrt{6^{\frac{4}{3}}}=6^{\frac{2}{3}} \ in\\ \\y=\dfrac{6^2}{6^{\frac{4}{3}}}=6^{\frac{2}{3}}\ in.$

4 0

3 years ago

Can someone help me with this math problem?

Alexus [3.1K]

The area of ΔIDK is 32.69 square units.

Solution:

Given data:

ID = 7 and Hypotenuse, KI = 11.67.

Let us first find KD:

Using Pythagoras theorem,

$\text {Base}^{2}+\text {Height}^{2}=\text {Hypotenuse}^{2}$

$ID^2 + KD^2 = KI^2$

$7^2 + KD^2 = (11.67)^2$

$49 + KD^2 = 136.1889$

Subtract 49 from both sides.

$KD^2=87.1889$

Taking square root on both sides, we get

KD = 9.34

Area of the triangle = $\frac{1}{2}\times\text{base}\times\text{height}$

$$=\frac{1}{2}\times{7}\times{9.34}$

= 32.69

The area of ΔIDK is 32.69 square units.

7 0

3 years ago

Cam has a collection of ceramic chickens. 10% of the chickens were given to him as gifts, and he bought the rest himself. If 11

otez555 [7]

Hello! To find out the amount of ceramic chickens he has in total, we can write and solve a proportion. Set it up like this:

11/x = 10/100

This is because 11 was just the 10% given as gifts, and we are looking for the total amount. Cross multiply the values in order to get 1,100 = 10x. Divide each side by 10 to isolate the x. 1,100/10 is 110. Let's check. 110 * 10% (0.1) = 11. There. x = 110. Cam has 110 ceramic chickens total.

5 0

3 years ago

How many people attended the game?

lys-0071 [83]

I would say that 300 people attended.

8 0

3 years ago