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3 years ago

Please answer ASAP will give brainliest!!!!!!!

Mathematics

2 answers:

Alona [7]3 years ago

8 0

Answer:

No. Total distance = 6 3/8.

Step-by-step explanation:

$2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\$

$=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}$

nlexa [21]3 years ago

4 0

Answer: No he is not correct the answer is 6 3/8

Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the

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What is the equation of the line that passes through the point ( − 3 , 1 )and has a slope of 2/3

andrezito [222]

Answer: y = 2/3x + 3

Step-by-step explanation:

We will write the equation in slope intercept form (y=mx+b).

In the formula y=mx + b, m is the slope and b is the y intercept. We need the slope and y intercept numbers to write the equation. Since we know the slope we will use the given point to find the y intercept by plotting in the x and y coordinates into the formula.

1 = 2/3(-3) + b Solve for b

1= -6/3 + b

1 = -2 + b

+2 +2

b = 3

The equation will be y = 2/3x + 3

3 0

3 years ago

Determine the volume of the rectangular prism.

Flauer [41]

Answer:

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2 $\frac{1}{2}$ and the height is 2 $\frac{1}{2}$

8 × 2 $\frac{1}{2}$ × 2 $\frac{1}{2}$

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2 $\frac{1}{2}$ = 20

20 × 2 $\frac{1}{2}$ = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

50 ft³ is our final answer

7 0

3 years ago

The area of this square

ANEK [815]

It appears as if 12cm is half the length of the side so we can assume that the total length of one side is 24cm.

The area of a square is given by the equation $A=s^{2}$ where s is the length of the side.

$A=24^{2}$

A=576

The area of this square is 576cm2.

Hope this helps!

7 0

3 years ago

The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the

xxTIMURxx [149]

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

3 0

3 years ago

6. If the net investment function is given by

Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated capital for the period.

(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.

(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.

Reasons:

(a) The given investment function is presented as follows;

$I(t) = 100 \cdot e^{0.1 \cdot t}$

(a) The capital formation is given as follows;

$\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C$

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore, for the three years; Year 3, year 4, and year 5, we have;

$\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87$

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

$\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000$

Which gives;

$\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000$

$\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000$

$\displaystyle e^{0.1 \cdot t}} = 101$

$\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15$

The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.

Learn more investment function here:

brainly.com/question/25300925

6 0

2 years ago