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2 years ago

I will mark brainly, help me with this question please.

Mathematics

1 answer:

Anna [14]2 years ago

3 0

Step-by-step explanation:

Since $x$ varies directly as $\sqrt{y}$ we can write the relation as

$x = k\sqrt{y}$

where k is the constant of proportionality.

a) To solve for the k, we substitute the given values:

$5 = k\sqrt{13} = k(13)$

$\Rightarrow k = \dfrac{5}{13}$

b) The equation relation x and y can be written as

$x = \dfrac{5}{13}\sqrt{y}$

c) When y = 9,

$x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}$

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The line plot below shows the weight of each of 15 ostrich eggs . What is the total weight of the 3 heaviest eggs

erica [24]

Answer:

D). 6 3/4

Step-by-step explanation:

Given,

The three eggs with the heaviest weights are;

$2\frac{1}{2}$ ounces

$2\frac{1}{4}$ ounces, &

2 ounces

To find,

The total weight of the three heaviest eggs = $2\frac{1}{2}$ ounces + $2\frac{1}{4}$ ounces + 2 ounces

= 5/2 + 9/4 + 2/1

Taking the L.C.M. of 2, 4, and 1,

= 10/4 + 9/4 + 8/4

= (10 + 9 + 8)/4

= 27/4 or 6 3/4

4 0

3 years ago

Find the measures of the interior angles of the triangle.

jeka94

Answer:

∠A = 30°

∠B = 60°

∠C= 90°

Step-by-step explanation:

This is a right triangle, you can see it mainly by the red square in C, and it is always used to mark 90 degrees.

Knowing that, you now know ∠C is 90°

Now, to find ∠B, you should use the following equation:

A+B+C = 180°

This means that the sum of the three angles of a triangle gives 180. ALWAYS. So to find the missing angle, ∠B, do the following:

Fill the values of the equation with the angles you now know:

30° + B + 90° = 180

Solve the equation, passing the 30° and 90° to the other side of the equal sing with Inverse Operation:

B = 180° - 30° - 90°

B = 60

Hope it helps!!

3 0

3 years ago

Which point is a solution to the inequality shown in this graph?

sergey [27]

Good morning

Answer:

B: (1, 5)

Step-by-step explanation:

This graph shows the solutions to the inequality: y > (1/3)x - 2

Since, 5 > (1/3)×1 - 2 then the point (1 ,5) is a solution to the inequality.

____________________________

6 0

3 years ago

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. T

kirill115 [55]

I can only half answer this question, as it doesn't tell what form of distance is used

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g
d=15(1)
d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

Answer:The constant of proportionality is 15.

4 0

3 years ago

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac

Nat2105 [25]

Answer:

5 points question is 8

and 2 points questions is 30 !!

Step-by-step explanation:

Let the number of 5 points questions be x and number of the 2 points questions be y !!

Given :- The paper has 38 problems

i.e,

number of 5 points Q + number of 2point Q = 38

=> x + y = 38

=> x = 38 - y .... ( i )

And , The test worth 100 pts :-

There must be x number of Questions which carry 5 points and there must y number of questions which carries 2 points ( as assume above )

so, 5x + 2y = 100 .... ( ii )

Putting value of the x in ( ii )

5 ( 38 - y ) + 2y = 100

190 - 5y + 2y = 100

- 3y = - 90

y = 30

Putting value of y in ( i )

x = 38 - y

x = 38 - 30

x = 8

So, the Number of 5points Question is

x = 8

and , the number of 2 points questions is y = 30 !!

4 0

3 years ago

I will mark brainly, help me with this question please.​

I will mark brainly, help me with this question please.