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2 years ago

A seven-sided number cube with sides numbered 1, 2, 3, 4,

Mathematics

2 answers:

Yuri [45]2 years ago

6 0

Answer:

Step-by-step explanation:

Volgvan2 years ago

4 0

Answer:

c. 4/7

Hopefully this helped!

-Lavender Vye

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Solve by elimination -5x+8y=-27 -8x+7y=-20

Anika [276]

Answer:

x = -1 , y = -4

Step-by-step explanation by elimination:

Solve the following system:

{8 y - 5 x = -27 | (equation 1)

7 y - 8 x = -20 | (equation 2)

Swap equation 1 with equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

-(5 x) + 8 y = -27 | (equation 2)

Subtract 5/8 × (equation 1) from equation 2:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+(29 y)/8 = (-29)/2 | (equation 2)

Multiply equation 2 by 8/29:

{-(8 x) + 7 y = -20 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 7 × (equation 2) from equation 1:

{-(8 x)+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by -8:

{x+0 y = -1 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = -1 , y = -4

7 0

3 years ago

What is ∑n=16[4(−5)n−1] equal to? Enter your answer in the box.

Cerrena [4.2K]

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...take n from the top of the summation.

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

4 0

2 years ago

A pie is made using 2 cups of sugar for every 3 cups of flour. Max knows he needs 15 cups of flour to make enough pies. How many

PolarNik [594]

Answer: 10 cups of sugar

Step-by-step explanation:

Cups of sugar : Cups of flour

2 : 3

? : 15

Cross multiply

3? = 15 × 2

3? = 30

Divide both sides by 3

? = 10

He needs 10 cups of sugar.

8 0

3 years ago

a sculpture is formed from a cylinder resting on top of a cuboid. the cylinder has a radius 40cm and height 70cm. the cuboid mea

frosja888 [35]

Answer-

$\boxed{\boxed{\text{Mass}=10.0447256\ ton}}$

Solution-

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be $=80\times80\times140=896000$ cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be $\pi r^2h=\pi\times40^2\times70=351792$ cm³

Total volume,

$V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3$

As we know,

$\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}$

$\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}$

$\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g$

$\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton$

8 0

3 years ago

Convert 2000 ft./min. to miles per hour round to the nearest 10th

Serggg [28]

Answer:

The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour .

Step-by-step explanation:

Given as :

The speed = s = 2000 ft per min

Now, ∵ 5280 feet = 1 miles

so, 1 feet = $\dfrac{1}{5280}$ miles

∴ 2000 feet = $\dfrac{1}{5280}$ × 2000 miles

i.e 2000 feet = 0.378 miles

Again

∵ 1 minute = $\dfrac{1}{60}$ hour

So, The speed in miles per hour

s = $\dfrac{distance}{time}$

∴ s = $\frac{0.378}{\frac{1}{60}}$

i.e s = 2.268 miles per hour

Hence, The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour . answer

8 0

2 years ago