MATHEMATICS HIGH SCHOOL

What is the solution of the equation
7x + 3 = 2x + 13

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

7x + 3 = 2x + 13

5x + 3 = 13

5x = 10

x = 2
Answer 2
Answer:

Answer:

x = 2

Step-by-step explanation:

given

7x + 3 = 2x + 13 ( subtract 2x from both sides )

7x - 2x + 3 = 2x - 2x + 13 ( simplify both sides )

5x + 3 = 13 ( subtract 3 from both sides )

5x + 3 - 3 = 13 - 3 ( simplify both sides )

5x = 10 ( divide both sides by 5 )

(5)/(5) x = (10)/(5) , that is

x = 2

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A decorative steel frame is shown below it is made of a circular section and and 6 stems the length of each stem is 45 cm work out the total length of Steel used in the frame

Answers

A total of 552.86 cm of steel is used in the frame development.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a decorative steel frame is shown below it is made of a circular section and and 6 stems the length of each stem is 45 cm.

Assume that the total length of the steel used is [x] cm. Then -

x = 2πr + 6r

x = 2 x 22/7 x 45 + 6 x 45

x = 282.86 + 270

x = 552.86 cm

Therefore, a total of 552.86 cm of steel is used in the frame development.

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brainly.com/question/15529702

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Answer:

552.78

Step-by-step explanation:

Which of the following fractions will result in a repeating decimal? A. 1/3 B. 4/5 C. 3/8 D. 1/2

Answers

Answer:

A .   1/3

Step-by-step explanation:

1/3 = 0.333333333333333 (and the 3 continues on and on and on and on)

4/5 = 0.8

3/8 = 0.375

1/2 = 0.5

If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the SAS postulate?

Answers

                         Δ DUM         Δ MAP

hypotenuse:      15                2y-3
short leg:             12                0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

Answer: DM is congruent to PM

Step-by-step explanation: TOOK QUIZ!!!

A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.1 hour
6 hours
13 hours
15 hours

Answers

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

n(h)=100e^(0.25h)

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

450=100e^(0.25h)\n\n(450)/(100)=e^(0.25h)\n\n4.5=e^(0.25h)\n\n\text{Taking natural log 'ln' on both sides}\n\n\ln (4.5)=0.25h\n\n1.50=0.25h\n\nh=(1.50)/(0.25)\n\nh\approx 6\ hours

Hence, Second option is correct.

6 hours is the amount of time

What is the solution of the linear system of equations?


y=2x-3
y=2x+5

Answers

Hi Brainiac


y=2x-3

y= 2x+5


Ok we need to solve y=2x-3 for y

Now substitute 2x-3 for y in y=2x+5

y=2x+5

2x-3=2x+5

Add -2x

2x-3-2x=2x+5-2x

-3=5

Add 3

-3+3=5+3

0=8

No Solutions


I hope that's help:0

Solve x2 + 4x − 12 = 0.A: x = 2, x = −6
B: x = −2, x = −6
C: x = 3, x = −4
D: x = −3, x = 4

Answers

x^2 + 4x - 12 = 0
(x + 6)(x - 2) = 0

x + 6 = 0          x - 2 = 0
x = -6               x = 2

Answer A: x = 2; x = -6

Answer:

x = - 6; x = 2

Step-by-step explanation:
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