MATHEMATICS COLLEGE

Solve the equation. -3x + 1 + 10x = x + 4

Answers

Answer 1
Answer:

Answer:

x=[tex](1)/(2)[/tex]

Step-by-step explanation:

Solving the equation mean finding the value of x

Equation given is:

-3x+1+10x=x+4

Now what we need to do is take the values with x in it to the left side of the equation and the other numbers to the right side of the equation.

-3x+10x-x=4-1

Now simplify values with x and the numbers.

6x=3

x=[tex](1)/(2)[/tex]

Therefore x=[tex](1)/(2)[/tex]
Answer 2
Answer:

x = (1)/(2)

simplify the left side by collecting like terms

7x + 1 = x + 4 ( subtract x from both sides )

6x + 1 = 4 ( subtract 1 from both sides )

6x = 3 ( divide both sides by 6 )

x = (3)/(6) = (1)/(2)

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Find the mean of the set of data: 10,12,29,2,19,42,23,23

Help.please i will mark brainliest !!

Answers

Answer:

SAS

Step-by-step explanation:

SAS is the correct answer

6. The length of the minor arc AB of a circle, centre O, is 2π cm and the length of the major arc is 22π cm. Find: a) the radius of the circle
b) the acute angle AOB. ​

Answers

Answer:

a) 24 [cm]; b) 30°.

Step-by-step explanation:

a) the length of full the circle is: min_arc(AB)+maj_arc(AB)=π(22+2)=24π [cm]. Then the radius is: r=L/π; ⇒ r=24π/π=24 [cm];

b) if the full circle is 360° (L=24π), then m(∠AOB):2=360°:24 and the required measure of the acute angle AOB is:

m(∠AOB)=360*(1/12)=30°.

8.The gas tank on Kayla's car holds 16 gallons of
gas. The fuel gauge of her car shows that the
gas tank is full. How many gallons of gas are
in the gas tank?
Your answer
This is a required question

Answers

the answer you are looking for is 12! have a great day!:)

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 9 hours of burning, a candle has a height of 25.4 centimeters. After 23 hours of burning, its height is 19.8 centimeters. What is the height of the candle after 22 hours?

Answers

Answer:

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

After 11 hours of burning, a candle has a height of 23.4 centimeters.

After 30 hours of burning, its height is 12 centimeters.

What is the height of the candle after 13 hours?

:

Assign the given values as follows:

x1 = 11; y1 = 23.4

x2 = 30; y2 = 12

:

Find the slope using: m = %28y2-y1%29%2F%28x2-x1%29

m = %2812-23.4%29%2F%2830-11%29 = %28-11.4%29%2F19

:

Find the equation using the point/slope formula: y - y1 = m(x - x1)

y - 23.4 = -11.4%2F19(x - 11)

y - 23.4 = -11.4%2F19x + 125.4%2F19

y = -11.4%2F19x + 125.4%2F19 + 23.4

y = -11.4%2F19x + 125.4%2F19 + 23.4

y = -11.4%2F19x + 125.4%2F19 + 444.6%2F19

y = -11.4%2F19x + 570%2F19

y = -11.4%2F19x + 30, is the equation

:

What is the height of the candle after 13 hours?

x = 13

y = -11.4%2F19(13) + 30

y = -148.2%2F19 + 30

y = -7.8 + 30

y = 22.2 cm after 13 hrs

Sonia uses a gift card to purchase a $5.87 gourmet coffee each week. Find the total change in the gift card balance after 3 weeks.

Answers

Based on the available information, and options in the question, the total change in the gift card balance after 3 weeks is option A. -$17.61

What is Evaluation in Mathematics?

Evaluation in Mathematics is a method that is used to find the value of the expression when the variable is replaced by a given number.

In this case, to find the total change in the gift card balance after 3 weeks, calculate the total amount spent on gourmet coffee during this period.

Given that Sonia purchases a $5.87 gourmet coffee each week the total amount spent on coffee after 3 weeks can be calculated as follows:

Total amount spent = cost per coffee * number of weeks

= $5.87 * 3

= $17.61

Therefore, Sonia will have spent a total of $17.61 on gourmet coffee after 3 weeks, which will be $-17.61 of the top change in the gift card.

Hence, in this case, it is concluded that the correct answer is option A. -$17.61

Learn more about Evaluation in Mathematics here: brainly.com/question/4344214

#SPJ3

Full Options

A. -$17.61

B. $1.96

C. $18.61

D. $8.97

Answer:

$17.61

Step-by-step explanation:

5.87 x 3= $17.61 because it is each week

If m_2= x, m/3=40, and m24=5x + 14, what is mZ1?
A. 80
B. 121
C. 21
D. 61

Answers

Answer:

D. 61

Step-by-step explanation:

find x from the given triangle.

first step is to get x

add all inside angles = 180

∠2 + ∠3 + ∠4 = 180

x + 40 + 5x + 14 = 180

x + 5x = 180 - 40 - 14

6x = 126

x = 126 / 6

x = 21

substitute x=21 into angle 4

∠4 = 5x + 14

∠4 = 5(21) + 14

∠4 = 119

lastly, add ∠1 + ∠4 = 180

∠1 + 119 = 180

∠1 = 180 - 119

∠1 = 61°

therefore, the answer is D. 61
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