find the sum f(x)=׳/3+ײ/2+× and g(×)=׳/2+ײ/3+×/4​

Answer:

$3.50

Step-by-step explanation:

Given that the  cost of 3 pencils and 2 markers is $1.30. Let the cost of  a pencil be $p and that of a marker be $m then

3p + 2m = 1.30

Also, the cost of 2 pencils and 3 markers is $1.20 will result

2p + 3m = 1.20

Solve both simultaneously

3p + 2m = 1.30

2p + 3m = 1.20

multiply the first by 2 and the second by 3

6p + 4m = 2.60

6p + 9m = 3.60

subtract the second from the first

4m - 9m = 2.60 - 3.60

-5m = -1

Divide both sides by -5

m = 0.20

substitute into equation 1

3p + 2(0.2) = 1.30

3p + 0.4 = 1.30

3p = 1.30 - 0.40

3p = 0.90

Divide both sides by 3

p = 0.30

The total cost of 7 pencils and 7 markers

= 0.30 * 7 + 0.20 * 7

= 2.10 + 1.40

= $3.50

Answer:

follow me please and give thanks

the answer to your question is C

Answer:

1.2 to 10 o->

2.8 to -10 <- with fully bubbled o

Answer:

3/5

Step-by-step explanation:

Given

[tex]\frac{3}{500} \%[/tex]

Required

Represent as fraction

To do this, we simply multiply 3/500 by 100

[tex]\frac{3}{500} \% = \frac{3}{500} * 100[/tex]

[tex]\frac{3}{500} \% = \frac{3}{5}[/tex]

So, the fraction is 3/5

Answer:

1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

Step-by-step explanation:

The experimental probability is given by the number of desired outcomes divided by the number of total outcomes, after a number of experiments is made.

In this question:

Cube rolled 78 times.

9 appeared 26 times

26/78 = 1/3 = 0.3333 = 33.33% experimental probability of rolling a 9​.

[tex] \frac{95}{100} \times 420 = 399[/tex]

Answer:

[tex]Total = \$7800[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$32.50[/tex] per square yard

[tex]Length = 432.0ft[/tex]

[tex]Width = 5.0ft[/tex]

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

[tex]Area = Length * Width[/tex]

[tex]Area = 432.0ft * 5.0ft[/tex]

[tex]Area = 2160ft^2[/tex]

Convert to square yard

[tex]Area = \frac{2160yd^2}{9}[/tex]

[tex]Area = 240yd^2[/tex]

The cost is then calculated as:

[tex]Total= Area * Unit\ Cost[/tex]

[tex]Total = 240 * \$32.50[/tex]

[tex]Total = \$7800[/tex]

Answer =

= (4x - 5)²

= 16x² - 40x + 25

Answer:

8 yards

Step-by-step explanation:

97 divided by 12

Answer: 360>5.5+36.41d

Step-by-step explanation:

Answer:

Angle A- Obtuse angle

Angle B- Right angle

Angle C- Reflex angle

Angle D- Reflex angle

Angle E- Acute angle

Angle A is Obtuse angle, Angle B is  Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Obtuse angle is any angle greater than 90°

A right angle is an angle measuring exactly 90°

A reflex angle is an angle that is more than 180 degrees and less than 360 degrees.

Any angle that measures greater than 0° and less than 90° is called an acute angle.

By the definitions of these the angles are

Angle A- Obtuse angle

Angle B- Right angle

Angle C- Reflex angle

Angle D- Reflex angle

Angle E- Acute angle

Hence, Angle A is Obtuse angle, Angle B is  Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle

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Answer:

60

Step-by-step explanation:

last year 1/5 of the class played sports, so s = (1/5) c

the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)

To solve this we can substitute s = (1/5)c from the first equation into the second, so

((1/5)c + 5)=(1/4)(c+10), simplify both sides

(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2

(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)

4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides

50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60

Answer:

90

Step-by-step explanation:

77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong

Answer:

(2nd question, asking about height)  

8cm or 0.08m

Step-by-step explanation:

1.43m - 143cm

(1m = 100cm)

143cm - 135cm = 8cm

Answer:

445mm & 44.5cm

Step-by-step explanation:

155mm - 15.5cm

(1mm = 0.1cm)

15.5 + 16 + 13 = 44.5cm

44.5cm - 445mm

Answer:

1) 18.3m-16.5m=2.8m

2) 1.43m-135cm=0.81m

3) 0.16m+1.55m+0.13m=0,84m or 84cm

4)-

5)-

Step-by-step explanation:

2)cause 135cm is 1.35m

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

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Answer:

josh

rabeesh

ronger

roger

roge

robert

Step-by-step explanation:

Answer:

10.7%

Step-by-step explanation:

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%

= 10.7%

Answer:

18

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

HOPE IT HELPS YOU .......

Answer:

Simple Interest (SI) = Amount (A) – Principal (P) = 6000 - 5400. = 600

Answer:

1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount he gets after 1 year, 2 years and 3 years?

Step-by-step explanation:

Solution:

In every $ 100, Robert gets $ 8.

(Since rate is 8% → 8 for every 100)

Therefore, for $ 1 he gets = $ 8/100

And for $ 2000 he gets = 3000 x 8/100 

= $ 240

Simple Interest for 1 year = $ 240.

Simple Interest for 2 year = $ 240 x 2 

= $ 480

Simple Interest for 3 year = $ 240 x 3

= $ 720

Therefore, Amount after 1 year = Principal (P) + Simple Interest (SI)

= 3000 + 240

= $ 3240

Amount after 2 years = Principal (P) + Simple Interest (SI)

= 3000 + 480

= $ 3480

Amount after 3 years = Principal (P) + Simple Interest (SI)

= 3000 + 720 = $ 3720

We observe from the above example that, the Interest cannot be calculated without Principal, Rate and Time.

Therefore, we can conclude that Simple Interest (S.I.) depends upon:

(i) Principal (P)

(ii) Rate (R)

(iii) Time (T)

And therefore, the formula for calculating the simple interest is

Simple Interest (SI) = {Principal (P) × Rate (R) × Time (T)}/100

Amount (A) = Principal (P) + Interest (I)

Principal (P) = Amount (A) – Interest (I)

Interest (I) = Amount (A) – Principal

Answer:

6.4 miles

Step-by-step explanation:

5^2 + 4^2 = d^2

25 + 16 = d^2 = 41

d = 6.40 miles

The nearest tenth of a mile from your starting point is 6.4.

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

To round a number to the nearest tenth, we need to look to the right of the tenths place, which is the hundredths place. If the digit in the hundredths place is 5 or greater than 5, we need to add one to the digit in the tenths place. If it is 4 or less than 4, the tenths place digit remains the same. All the digits to the right of the tenths place should be changed to 0. That means, while rounding off a number to the nearest tenth, we will stop the rounding at the tenths place.

According to the question

If you drive 5 miles east and then 4 miles south

We have to find the nearest tenth of a mile from your starting point

From the diagram, we have to use Pythagoras theorem

D = [tex]\sqrt{4^{2} +5^{2} }[/tex]

D = [tex]\sqrt{16+25}[/tex]

D = [tex]\sqrt{41}[/tex]

D = 6.40312

Round 6.40312 to the required nearest tenth

D = 6.4

Hence, The nearest tenth of a mile from your starting point is 6.4.

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Answer:

choices 2 and 5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We will solve this inequality by dividing both sides by -9.

Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.

So we get:

[tex]w>6[/tex]

The only answer that has possible solutions that are greater than 6 is A.

Answer:

3/16 of her garden are red roses

she was not correct, 2/4 is not equal to 3/16

Step-by-step explanation:

3/4 garden are roses

1/4 of those are red  (1/4 of 3/4)

3/4 (1/4) = 3/16 of her garden are red roses

Answer:

Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.

Step-by-step explanation:

hope this helps

Answer:

The height of the taller tree is 7.5 feet.

Step-by-step explanation:

I am going to say that:

The height of the shorter tree is x.

The height of the taller tree is y.

The height of shorter tree is 3/5 of the height of the taller tree.

This means that [tex]x = \frac{3y}{5}[/tex]

If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree? ​

This means that [tex]x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}[/tex]

We want to find y.

[tex]x = \frac{3y}{5}[/tex]

[tex]\frac{9}{2} = \frac{3y}{5}[/tex]

[tex]6y = 45[/tex]

[tex]y = \frac{45}{6}[/tex]

[tex]y = 7.5[/tex]

The height of the taller tree is 7.5 feet.

Answer:

what is the question. the equation is invalid.

Answer:

Good luck Dude

Step-by-step explanation:

Answer:

the estimated area of the fountain is 147.58 square yards and the estimated area of the path is 28.26 square yards

Step-by-step explanation:

#platolivesmatter

your welcome!!!

The area of the fountain is 147.58 square yards, and the area of the path is 28.25 square yards.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Given

a circular fountain,

radius of fountain  = √47 yards

area of  fountain = πr²

area = π(√47)²

area = 147.58 square yards.

and fountain surrounded by a circular path,

which form a concentric circle with fountain,

the radius of the circular path from center of the fountain = √56 yards

area of the path = total area with radius √56 - an area of fountain

area of the path = π(√56)² - 147.58

area of the path = 175.84 - 147.58

area of the path = 28.26 square yards

Hence the area of the fountain is 147.58 square yards,

area of path = 28.25 square yards.

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