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masha68 [24]
3 years ago
10

Write an equation to represent each graph​

Mathematics
1 answer:
givi [52]3 years ago
7 0

equation for first figure=2x+y=2

equation for second figure= 4x-y=8

(use formula x/a+y/b=1)

where, a=x component and b= y component..

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Given the expression ‘6 more than twice a number’, what is the value of the expression if the number is equal to 5?
stepan [7]

Answer:

Expression: 2x + 6

Value of the expression when x = 5: 16

Step-by-step explanation:

Let's first focus on the expression: '6 more than twice a number'. Twice a number is the same as saying two times a number. Let's have that number be represented by x. Twice a number would mean 2x, and 6 more than that would just be 2x + 6.

We'll then plug in 5 for x to get the value of the expressinn:

2(5) + 6 = 10 + 6 = 16

5 0
3 years ago
The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How
Monica [59]

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find  How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

Sin\theta =\frac{Perpendicular}{Hypotenuse}

Sin22.3^{\circ} =\frac{AB}{AC}

AC=\frac{2600}{Sin22.3^{\circ}}

AC=\frac{2600}{0.379456159529}

AC=6851.9

So, riders travel 6852 feet .

3 0
3 years ago
Read 2 more answers
Solve for the variable: 12 = 5x = 7
IrinaVladis [17]

Hello from MrBillDoesMath!

Answer:  x = 1

Discussion :

Per the author, the equation to solve is  12 = 5x + 7

Isolate the "x" variable by subtracting 7 from both sides of the equation:

12 = 5x + 7

-7 =        -7

---------------------

12-7 = 5x + 0


or


5 = 5x

Dividing both sides by 5 gives x - 1


Regards, MrB

6 0
3 years ago
Assume that the annual household expenditure on sugar is approximately normally distributed with a mean of $8.22 and a standard
irina1246 [14]

 To solve this problem, we will have to make use of the z statistic. The formula for the z score is given as:

z = (x – u) / s

where,

x is the sample value = more than $10.00

u is the sample mean = $8.22

s is the standard deviation = $1.10

 

Substituting the values into the equation to solve for z:

<span>z = (10 – 8.22)  / 1.10</span>

z = 1.78 / 1.10

z = 1.62

 

We then look for the p value using the standard distribution tables at the specified z score value = 1.62. Since this is a right tailed test, therefore the p value is:

p = 0.0526

or

p = 5.26%

 

<span>Therefore there is a 5.26% probability that a household spent more than $10.00</span>

5 0
3 years ago
What two number add up to 18 and multiply to 24
xeze [42]
Are you sure it's 18 and not something else?
5 0
3 years ago
Read 2 more answers
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