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2 years ago

Dane is 10 times Brian's age. The difference in their age is 27, how old is Brian

Mathematics

2 answers:

crimeas [40]2 years ago

5 0

Answer:

Brain is 3 years old.

Step-by-step explanation:

Let B represent Brain's age and D represent Dane's age.

We have been given that Dane is 10 times Brian's age. We can represent this information in an equation as:

$D=10B...(1)$

We are also told that the difference in their age is 27. We can represent this information in an equation as:

$D-B=27...(2)$

Upon substituting equation (1) i equation (2), we will get:

$10B-B=27$

$9B=27$

$\frac{9B}{9}=\frac{27}{9}$

$B=3$

Therefore, Brain is 3 years old.

WARRIOR [948]2 years ago

3 0

Brian is 3 years old.
Hope this helps!

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Answer:

Option b. 12 teaspoons.

Step-by-step explanation:

In the question it given :

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Tabitha should use 12 teaspoons of broth.

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2 years ago

A rectangular exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to

Karo-lina-s [1.5K]

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The answers are:

- Length

$length=2width=12feet$

- Width

$width=6feet$

- Area

$Area=72feet^{2}$

We are given the perimeter of a rectangular mat, and we are asked to find the area, and write an equation to determine the length, if feet, of the mat. To solve this problem we need to remember the equation of the perimeter of a rectangle, which is:

$Perimeter=2length+2width$

Using the given information we have,

$36feet=2length+2width$

Also, we know that the length is twice the width, so:

$length=2width$

Then, substituting the second equation into the first equation, we can find the width of the mat.

Substituting, we have:

$36feet=2(2width)+2width$

$36feet=4width+2width$

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$[tex]\frac{36feet}{6} =width$ \\width=\frac{36feet}{6} =6feet[/tex]

Then, substituting the width into the second equation, we can find the length of the mat,

Substituting, we have:

$length=2width$

$length=2(6feet)=12feet$

Then, finding the area, we have:

$A=length*width=12feet*6feet=72feet^{2}$

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2 years ago

In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ra

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Answer:

A) The probability that the event will occur $=\frac{1}{7}$

B)The probability that the event will not occur = $\frac{6}{7}$

Step-by-step explanation:

We are given that The odds of event occurring are 1:6.

So, Number of successful events = 1

Number of unsuccessful events = 6

So, Total events = 6+1=7

a)the probability that the event will occur= $\frac{\text{Favorable event}}{\text{Total event}}$

The probability that the event will occur $=\frac{1}{7}$

b)The probability that the event will not occur = $\frac{\text{Favorable event}}{\text{Total event}}$

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2 years ago

A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of

nydimaria [60]

This question is incomplete. I got the complete part (the boldened part) of it from google as:

The following 98% confidence interval was obtained for μ1 - μ2, the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type B:

4.90 hrs < μ1 - μ2 < 17.50 hrs.

Answer:

A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of type A (the original paint) and 9 cans of type B (the modified paint) were selected and applied to similar surfaces. The drying times, in hours, were recorded. The summary statistics are as follows. Type A Type B x 1x1equals=76.3 hr x 2x2equals=65.1 hr s 1s1equals=4.5 hr s 2s2equals=5.1 hr n 1n1equals=11 n 2n2equals=9 The following 98% confidence interval was obtained for mu 1μ1minus−mu 2μ2, the difference between the mean drying time for paint cans of type A and the mean drying time for paint cans of type B. What does the confidence interval suggest about the population means?

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Step-by-step explanation:

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2 years ago

The density of gold is 19.3 g/cm3. A weight of 1 ounce is equivalent to a mass of about 28.35 g. Which of these is closest to th

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Answer: The side length of the cube is 2.27cm

Step-by-step explanation:

The options are not given, then let's solve this in a general way.

We know that the density of gold is 19.3g/cm^3.

We also know that 1 oz = 28.35g.

And we know the relation:

Density = mass/volume.

Now, let's find the volume of 8 ounces of gold.

First, let's rewrite the density changing the units, from grams to ounces.

We know that:

1 oz = 28.35g

(1 oz/28.35g) = 1.

Then if we multiply the density by this ( that is equal to 1) we can change the units and leave the actual quantity invariant.

d = 19.3g/cm^3 = 19.3g/cm^3*(1 oz/28.35g) = 0.68 oz/cm^3

Now let's use the equation for the density, knowing this time that the mass is 8 ounces.

0.68 oz/cm^3 = mass/volume = 8oz/V

Let's find the value of V

0.68 oz/cm^3 = 8oz/V

V = 8oz/0.68 oz/cm^3 = 11.76 cm^3

Now, we know that this is a cube.

Remember that the volume of a cube of side length L is:

V = L^3

Then we have:

L^3 = 11.76 cm^3

L = ∛11.76 cm^3 = 2.27 cm

The side length of the cube is 2.27cm

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2 years ago