MATHEMATICS HIGH SCHOOL

In the last 2 weeks, a plant grew 1/16 in. and 3/16 in. respectively.How much did the plant grow in the last 2 weeks?

Express your answer in lowest terms.

in.

Answers

Answer 1

Answer:

Answer: $(1)/(4)\ in.$

Step-by-step explanation:

Given: In the last 2 weeks, a plant grew $(1)/(16)\ in.$ and $(3)/(16)\ in.$ respectively.

To find the total plant growth in the last 2 weeks, we need to add the growth registered in each week.

Thus, the total growth = $(1)/(16)+(3)/(16)=(4)/(16)=(1)/(4)\ in.$

Hence, the plant grow $(1)/(4)\ in.$ in the last 2 weeks.

Answer 2

Answer: 1/16 + 3/16=4/16 = 2/8 = 1/4 = The total amount of growth in the last two weeks.

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F(x) = 2x2 + 1 what is f(x) when x = 3 ?

Answers

Answer:

2x^2 +1 (x=3)

2(3)^2 +1

6^2 +1

36+1

-4.75 = x/2 what is x

Answers

Answer:

x= -9.5

Step-by-step explanation:

We want to find out what the variable, x, is equal to. Therefore, we must isolate the variable on one side of the equation.

-4.75 = x/2

x is being divided by 2. The inverse of division is multiplication. Multiply both sides of the equation by 2.

2*(-4.75) = (x/2)*2

2*(-4.75)=x

2* -4.75=x

Multiply 2 and -4.75

-9.5=x

Let's check our solution. Plug -9.5 back in for x and solve.

-4.75= x/2

-4.75= -9.5/2

-4.75= -4.75

This checks out, so we know our solution is correct.

x is equal to -9.5

Answer:

$x = (19)/(2)$

Step-by-step explanation:

$(x)/(2) = - 4.75$

First convert the decimal to an improper fraction

That's

$- 4.75 = - (19)/(4)$

So we have

$(x)/(2) = - (19)/(4)$

Cross multiply

4x = - 38

Divide both sides by 4

We have the final answer as

$x = (19)/(2)$

Hope this helps you

The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?

Answers

Answer: Isaac traveled approximately 13 miles by the taxi.

Step-by-step explanation:

Since we have given that

Amount charges to pick up a passenger = $2.50

Amount per mile = $1.95

Total amount charged = $27.46

Let x be the number of miles driven by the taxi.

According to question, it becomes,

$2.50+1.95x=27.46\n\n1.95x=27.46-2.50\n\n1.95x=24.96\n\nx=(24.96)/(1.95)\n\nx=12.8\n\nx\approx 13\ miles$

Hence, Isaac traveled approximately 13 miles by the taxi.

27.46 - 2.50 = 24.96 / 1.95 = 12.8 miles

A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances from two fixed points, called the foci, is constant.Please select the best answer from the choices provided

A. True
B. False

Answers

The answer is true, by definition, its true.

Answer:

A. True

Step-by-step explanation:

Got it right on edge

A two digit number is 4 times the sum of its digits and twice the product of its digit.FIND THE NUMBER

Answers

x - tenths digit
y - units digit

$10x+y=4(x+y)\n 10x+y=2xy\n\n 10x+y=4x+4y\n 10x+y=2xy\n\n 6x=3y\n 10x+y=2xy\n\n 3x=y\n 10x+y=2xy\n\n 10x+3x=2x\cdot3x\n 13x=6x^2\n 6x^2-12x=0\n 6x(x-2)=0\n x=0 \vee x=2\n\n y=3\cdot2\n y=6\n\n 10\cdot2+6=\boxed{26}$