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3 years ago

Twice the sum of a number plus 4 is 26. Find the number

Mathematics

1 answer:

telo118 [61]3 years ago

8 0

2(x+4)=26
2x+8=26
2x=14
X=7

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Two life insurance companies determine their premiums using different formulas:

Pie

Answer:

The age at which both companies charge the same premium is 44 years

Step-by-step explanation:

Graph Solution to System of Equations

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

8 0

3 years ago

Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Tha

julsineya [31]

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

$60^\circ+80^\circ+90^\circ+x+x=360^\circ$

$230^\circ+2x=360^\circ$

$2x=360^\circ-230^\circ$

$2x=130^\circ$

Divide both sides by 2.

$\dfrac{2x}{2}=\dfrac{130^\circ}{2}$

$x=65^\circ$

Therefore, the measures of both exterior angles are 65 degrees.

6 0

3 years ago

Write an expression for the length of the rectangle. (Hint: Factor the area binomial and recall that Area=width times length)

cestrela7 [59]

Answer: A=l⋅w where A is the area of the rectangle, l is the length of the rectangle and w is the width of the rectangle.

8 0

3 years ago

Given cos 0 = 4V2/7, find sin 0. sin 0 = V[?]/?

zmey [24]

$sin = \frac{ \sqrt{17} }{7}$

8 0

2 years ago

Which expression can be used to find 7(-6 1/8)

andrezito [222]

The first option,

both have to be negative, because they were originally both part of the one fraction, which was all negative.

7 0

2 years ago

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