What is the reciprocal of 0.25

A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that

NeTakaya

Answer:

The slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis is $\frac{3}{4}$ .

Step-by-step explanation:

<h3>Definition of slope of a line:</h3>

The slope of a line describes its steepness. In mathematical terms, for a line passing through two points with known coordinates, the slope is defined as the ratio of the change in the y-coordinates to the change in the x-coordinates.

<h3>Formula for the slope of a line:</h3>

Let 'm' represent the slope of a line passing through two points with coordinates $(x_{1},y_{1})$ and $(x_{2},y_{2})$ . So, according to the definition, the slope of the line can be written as follows,

$m=\left|\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\right|$

<h3>Calculation of slope:</h3>

According to the information given in the question, the school conducts $27$ tests in $36$ weeks.

Now, any point on the $x-$ axis is given by the general form $(x,0)$ , where $x$ represents any numerical value on the axis. Similarly, any point on the $y-$ axis is given by the general form $(0,y)$ , where $y$ represents any numerical value on the axis.

It is given that the time in weeks is represented on the $x-$ axis, so $36$ weeks can be represented as coordinates as $(36,0)$ . Likewise, the number of tests conducted, i.e., $27$ can be represented as coordinates as $(0,27)$ .

Now, slope of the line passing through the above mentioned points, using the formula is as follows,

$m=\left| \frac{27-0}{0-36} \right|\\m=\left| \frac{27}{-36} \right|\\\\m=\left| \frac{3}{-4} \right|\\\\$

Simplifying the mod operator, the slope of the line is found to be $\frac{3}{4}$ .

Hence, the correct option is option $A. \frac{3}{4}$ .

To know more about the slope of the line and its significance, visit https://brainly.ph/question/3226543

4 0

2 years ago

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A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

dedylja [7]

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

$amount = principal(1 + (r \n))^({n}{t})$

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

8 0

3 years ago

Given congruent triangles name the corresponding sides and corresponding angles

Alborosie

Answer:

See explanation

Step-by-step explanation:

Given $\triangle ABC\cong \triangle ADC$

According to the order of the vertices,

side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);

side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);

side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);

angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);

angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);

angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);

6 0

3 years ago

There are 20 bags filled with coins that all look alike. The coins in 19 of the bags are authentic and weigh 10 ounces each. The

irakobra [83]

It will come out to a flat number like 10 20 30 40 ect and the counterfeit will have a 1 at the end such as 11 21 31 41.
Hope i Helped

6 0

3 years ago

Help please !! Solve -1.6r+5= -7.8

Nikolay [14]

subtract 5 from both sides. -1.6r=-5 divide both sides by-1.6. r=-5/-1.6 simp;ify-5/1.6 to 3.125. r =3.125

5 0

3 years ago

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