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3 years ago

Given log3 2=0.631 log3 7=1.771 what is log3 14?

Mathematics

2 answers:

Leni [432]3 years ago

5 0

In logarithm, inverse operations are applied.
$log_3{14} = log_3{7} + log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402$

-BARSIC- [3]3 years ago

3 0

Answer:

2.402

Step-by-step explanation:

Given $log_3 2=0.631$

$log_3 7=1.771$

we need to find out $log_3(14)$

we know 14 = 7 * 2

$log_3(14)=log_3(7*2)$

Apply log property

log mn= log m + log n

$log_3(7*2)=log_3(7) + log_3(2)$

Plug in the given vales for log

$log_3(7*2)=1.771 + 0.631)$

= 2.402

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H + 52 72 ———- = —- 70. 56

oee [108]

Answer:

h = 38

Step-by-step explanation:

$\frac{h + 52}{70} = \frac{9}{7}$

$h + 52 = \frac{9}{7} \times 70$

$h + 52 = \frac{9 \times 70}{7}$

$h + 52 = \frac{630}{7}$

$h + 52 = 90$

$h = 90 - 52$

$h = 38$

the answer is 38.

5 0

2 years ago

Im really confused can somebody explain this?

vovikov84 [41]

Given:

The given ratio is $16 : 12$

We need to determine three ratios that are equivalent to the given ratio.

Option A: $8:6$

The given ratio is $16 : 12$

Let us divide the given ratio $16 : 12$ by 2.

Thus, we have;

$8:6$

Hence, the expression $8:6$ is equivalent to $16 : 12$

Thus, Option A is the correct answer.

Option B: $32:24$

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio $16 : 12$ by 2, we get;

$32:24$

Thus, the expression $32:24$ is equivalent to $16 : 12$

Hence, Option B is the correct answer.

Option C: $4:3$

Let us divide the given ratio $16 : 12$ by 4.

Thus, we have;

$4:3$

Thus, the expression $4:3$ is equivalent to $16 : 12$

Hence, Option C is the correct answer.

Option D: $12:8$

The number 12 goes by 16 in $\frac{3}{4}$ times and the number 8 goes by 12 in $\frac{2}{3}$ times.

The ratios are multiplied by different numbers.

Thus, the expression $12:8$ is not equivalent to $16 : 12$

Hence, Option D is not the correct answer.

Option E: $24:16$

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression $24:16$ is not equivalent to $16 : 12$

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C

5 0

3 years ago

On a certain hot summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for

Tomtit [17]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot summer's day

391 people used the public swimming pool
The daily prices are $1.25 for children and $2.25 for adults
The receipts for admission totaled $752.75

We need to find how many children and how many adults swam at the public pool that day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

3 years ago

Shaun needs to make mortar for brick-laying. It is made in the ratio 7:3 of sand to cement.

Tju [1.3M]

Sand to cement
7:3

210:x

ask yourself what number is needed to multiply by 7 to get 210 ( so you'd divide 210 by 7 which is 30). Multiply the other side by thirty as well to get the value of x

3*30 which is 90

7 0

3 years ago

Help me please will mark brainlyist

Leni [432]

Answer:

24.46

Step-by-step explanation:

4 0

3 years ago