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2 years ago

Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold

Mathematics

1 answer:

sergiy2304 [10]2 years ago

4 0

9514 1404 393

Answer:

0.33 litres

Step-by-step explanation:

If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...

3(m +0.07) +4m = 2.52

7m +0.21 = 2.52 . . . . . . . . simplify

7m = 2.31 . . . . . . . . . . . . . subtract 0.21

m = 0.33 . . . . . . . . . . . . . divide by 7

Each mug can hold 0.33 litres.

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What is 2,000,000 x 10,000 x 170 x 10E1146?

Valentin [98]

Answer:

3.4*10^1159

Step-by-step explanation:

2,000,000 x 10,000 x 170 x 10E1146

2,000,000 x 10,000 = 2*10^10

2*10^10*170 =340*10^10

Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent

3.4*10 ^ (10+2)

3.4*10^12

10E 1146 means 10*10^1146

This is really 1 * 10^(1146+1)

3.4*10^12 * 10^1147

We add the exponents

3.4*10^(12+1147)

3.4*10^1159

5 0

3 years ago

Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

inna [77]

Answer:

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

$y = A\cdot e^{B\cdot x}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A, B$ - Coefficients.

If we know that $(x_{1}, y_{1}) = (7,12)$ and $(x_{2}, y_{2}) = (8,25)$ , then we get the following system of equations:

$A\cdot e^{7\cdot B} = 12$ (2)

$A\cdot e^{8\cdot B} = 25$ (3)

If we divide (3) by (2), we calculate the value of $B$ :

$e^{B}=\frac{25}{12}$

$B = \ln \frac{25}{12}$

$B \approx 0.734$

And by (2), we determine the value of $A$ :

$A = 12\cdot e^{-7\cdot B}$

$A = 0.0704$

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

4 0

2 years ago

Rebecca needs 10 1/2 yards of fabric to make quilt. She has one piece of fabric that is 2 1/2 yards and another piece of fabric

ASHA 777 [7]

Answer:

-15/4

Step-by-step explanation:

Add 2 1/2 and 4 1/4

Take that fraction and subtract it from 10 1/2

6 0

3 years ago

Please help help help help help please ASAP

lora16 [44]

Answer

~~~~~~~~~~~~

slope: 1

y intercept: 4

equation: y=x+4

6 0

2 years ago

You have a 1-gallon paint can in the shape of a cylinder. One gallon is 231 cubic inches. The radius of the can is 3 inches. Wha

aleksandr82 [10.1K]

Answer:

The approximate height of the paint can is 8.2 in

Step-by-step explanation:

we know that

The volume of the cylinder ( can of paint) is equal to

$V=\pi r^{2} h$

we have

$V=231\ in^{3}$

$r=3\ in$

$\pi=3.14$

Substitute the values and solve for h

231=(3.14)(3)^{2} h

h=231/(3.14*9)=8.2 in

3 0

2 years ago

Read 2 more answers