Which table of values represents a linear function ?

The answer for 10 2/3×31/8 rounded to the nearest whole number?

BigorU [14]

$10 \frac{2}{3} ( \frac{31}{8})$ can be changed into this equation:

$\frac{32}{3}( \frac{31}{8} )$

The 32 and 8 have a common factor of 8 and can be simplified to become this equation:

$\frac{4}{3} ( \frac{31}{1})$

Now multiply across to get $\frac{124}{3}$ which then simplifies to $41 \frac{1}{3}$ which as a decimal is 41.333 (repeating 3s). Nearest whole number is 41.

Your answer is 41

5 0

3 years ago

a sequence has a first term of 2 and a constant ratio of _3/2 what are the first five terms of the sequence

soldi70 [24.7K]

This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125

Answer:
In fractions, the first five terms are
2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
2.000, -3.000, 4.500, -6.750, 10.125

5 0

3 years ago

Find the measure of each angle.

Galina-37 [17]

Given:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

Measure of ∠L:

By the property of isosceles trapezoid, we have;

$\angle K+\angle L=180^{\circ}$

$118^{\circ}+\angle L=180^{\circ}$

$\angle L=62^{\circ}$

Thus, the measure of ∠L is 62°

Measure of ∠M:

By the property of isosceles trapezoid, we have;

$\angle L \cong \angle M$

Substituting the value, we get;

$62^{\circ}=\angle M$

Thus, the measure of ∠M is 62°

Measure of ∠J:

By the property of isosceles trapezoid, we have;

$\angle J \cong \angle K$

Substituting the value, we get;

$\angle J =118^{\circ}$

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

4 0

3 years ago

Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to

aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

$\frac{7}{10} x-3$

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

$\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\$

$\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40$

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0

3 years ago

Determine whether the point is on the graph of the equation 2x+3y=8. (1,2)

geniusboy [140]

The point $(1,2)$ is on the graph of the equation.

Explanation:

The equation is $2x+3y=8$

We need to determine the point $(1,2)$ is on the graph.

To determine the point $(1,2)$ is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point $(1,2)$ in the equation $2x+3y=8$ , we get,

$2(1)+3(2)=8$

Multiplying the terms within the bracket, we have,

$2+6=8$

Adding the LHS, we have,

$8=8$

Thus, both sides of the equation are equal.

Hence, the point $(1,2)$ is on the graph of the equation $2x+3y=8$

3 0

3 years ago