The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities to model this situation. Use x to represent the number of boys and y to represent the number of girls

Answer:

10100=15700(1-0.075)^x

10100=15700(0.925)^x

divide both sides by 15700

0.925^x=101/157

convert decimal

(37/40)^x=101/157

take the log

x= log 37/40 (101/157)

x= 5.65824

It will take almost 6 years to depreciate the value of the car to 10100 dollars.

Answer:

Substitution

Step-by-step explanation:

We know that B equals five, and that a + b = c. This means that if we substitute 5 for b, the equation will still be true. Hope this helps!

Answer:

Substitution

Step-by-step explanation:

you substituted b for 5 in the equation

Hope this helped and brainliest plss

Answer:

a) 63°

b) 600ft

Step-by-step explanation:

To solve the above question, we would be using Trigonometric function

a) Find (to the nearest whole degree)

the angle with the horizontal at

which the balloon rises.

This above question a is a right angled triangle that is solved for using Trigonometric function of tan

From the question, we told that,

Vertical distance ( opposite side) = 10 feet

Horizontal distance ( adjacent side) = 5 feet.

Tan θ = opposite side/ adjacent side

Tan θ = 10/5

Tan θ = 2

θ = arc tan (2) or tan -¹(2)

θ = 63.434948823°

θ = 63°

The angle with the horizontal at

which the balloon rises to the nearest whole degree is 63°

b) find (to the nearest 10 feet) its

distance from the starting point

after one minute.​

Distance = Speed × time

Time is given in the question as 1 minute

We would convert it to seconds = 60 seconds

We are told in the question that the balloon rises vertically at the speed of 10ft/s

Distance = 10ft/s × 60seconds

Distance from the starting point per minute = 600ft

The airplane's acceleration is 6m/s^2

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

AC=BD

Step-by-step explanation:

Answer:

Step-by-step explanation:

third side is <11+9 or <20cm

or >11-9 or >2

so third side=15 cm

Let x be the sale.

Then 500+.05x>1500

.05x>1500-500

.05 x>1000

x>$2000

minimum sale=$2000

Answer:

Length of Third Side = 15 cm,

Steve Sold More than $ 20,000

Step-by-step explanation:

1 . Consider the Triangle Inequality Theorem, as to solve for the length of the third side;

[tex]Triangle Inequality Theorem -\\\\| a - b | < c < a + b,\\| c - a | < b < c + a,\\| c - b | < a < c + b,\\\\Say, a = 11 cm, b = 9 cm, c = 20 -\\\\11 - 9 < 20 < 11 + 9,\\20 - 11 < 9 < 20 + 11,\\20 - 9 < 11 < 20 + 9\\\\As 20 = 20, not 20 < 20 -\\Conclusion ; Length of Third Side = 15 cm[/tex]

2 . Consider c - commission $;

[tex]5percent - FractionForm, -\\5 / 100 - Simplified -\\1 / 20,\\[/tex]

[tex]Inequality - 500 + 1 / 20 * c > 1,500,\\500 + 1 / 20 * c > 1,500 =\\1 / 20c > 1,000,\\c > 20,000 -\\Conclusion ; Steve Sold More Than 20,000 Dollars[/tex]

Answer:

6.03

Step-by-step explanation:

'6' would be a whole number. When stating decimals, you would say the whole numbers before 'and'.

For example: 5.6 would be 'five and six tenths'. Note that five is before 'and'.

'Three hundredths' would be .03.

Therefore:

"Six and three hundredths" would be '6.03'.

Answer: x = 24

Step-by-step explanation:

9x - 18 = 7x + 30

9x - 7x = 30 + 18

2x = 48

x = 48/2 = 24

Answer:

10/3

Step-by-step explanation:

6:2 ratio

so 6+4=10 is 10:x

6:2=3:1

multiply 10/3, and it's 10:10/3

Answer:

The answer is A

Answer:

See explanation

Step-by-step explanation:

[tex](x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20[/tex]

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract [tex]x^2(x-2)[/tex] from the original expression, leaving you with [tex]9x^2+2x-40[/tex].

Next, subtract [tex]9x(x-2)[/tex] from the expression, leaving you with [tex]20x-40[/tex]. Finally, subtract [tex]20(x-2)[/tex] from the expression, leaving you with a remainder of 0. This means that the real quotient is [tex]x^2+9x+20[/tex]. Hope this helps!

Answer:

B.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

26

Step-by-step explanation:

Answer:

C. 60°

Step-by-step explanation:

Read the marking on the protractor.

Hope it helps

Good luck on your assignment

Answer:

-3x - 2 = -20

Add 2 on both sides

-3x=-18

Divide by -3 on both sides

X=​6

Answer:

Step-by-step explanation:

-3x - 2 = -20

Add  2 to both sides

-3x - 2 + 2 = - 20+ 2

-3x = -18

Divide both sides by (-3)

[tex]\frac{-3x}{-3}=\frac{-18}{-3}[/tex]

x = 6

Answer:

1.y−7=3(x+3)

2.y=3x+16

Step-by-step explanation:

use point-slope formula to find the slope and plug it into the equation

y-y₁=m(x-x₁)

slope= -[tex]\frac{y2-y1}{x2-x1}[/tex]

plug in the value of x and y from both  of the coordinates into this equation and then use one set of points and slope to get your equation

Answer: 7095.4

Because the digits following 7095 are .38, you would need to round the 3 to a 4 to get the nearest tenth

Answer:

⠀⠀⠀⠀Volume = 22/7 × 6 × 6 × 6

⠀⠀⠀⠀Volume = 678.857 in³

Answer:

1+12x or

13

Step-by-step explanation:

If the x is an expression then

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2x(-6)

2 negatives = a postive

4-3+2x*6

multiply

4-3+12x

substract

1+12x

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2*(-6)

multiply

4-3+12

substract

1+12

add

13

Answer:

D

Step-by-step explanation:

Subtraction

Answer:

[tex]\mathrm{Decimal:\quad }\:38.8[/tex]

Step-by-step explanation:

[tex]\frac{\left(3-11\right)^2+\left(5-11\right)^2+\left(13-11\right)^2+\left(14-11\right)^2+\left(20-11\right)^2}{5}\\\left(3-11\right)^2+\left(5-11\right)^2+\left(13-11\right)^2+\left(14-11\right)^2+\left(20-11\right)^2=194\\\left(3-11\right)^2+\left(5-11\right)^2+\left(13-11\right)^2+\left(14-11\right)^2+\left(20-11\right)^2\\\left(3-11\right)^2=64\\\left(3-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:3-11=-8\\=\left(-8\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad\left(a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-8\right)^2=8^2\\8^2=64\\\left(5-11\right)^2=36\\\left(5-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:5-11=-6\\=\left(-6\right)^2\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-6\right)^2=6^2\\=6^2\\6^2=36\\\left(13-11\right)^2=4\\\left(13-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:13-11=2\\=2^2\\2^2=4\\\left(14-11\right)^2=9[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:14-11=3\\=3^2\\3^2=9\\\left(20-11\right)^2=81\\\left(20-11\right)^2\\\mathrm{Subtract\:the\:numbers:}\:20-11=9\\=9^2\\9^2=8\\=64+36+4+9+81\\\mathrm{Add\:the\:numbers:}\:64+36+4+9+81=194\\=194\\=\frac{194}{5}\\\mathrm{Decimal:\quad }\:38.8[/tex]

Answer: the answer is

C. 12

Answer:

12

Step-by-step explanation:

12 is the answer I got.

Answer:

He had nowhere to go,and he had to prove his bloodline to Echidna,and she called him a coward. He wanted Poseidon to help him.

Step-by-step explanation:

-625 × -5 + 95 × 625

= 62,500

Answer:

36.5 degrees

Step-by-step explanation:

angle abc is a straight angle ( which is 180 degrees )therefore:

angle ABD + angle DBC = angle ABC

substituting the given measurements gives us=

3x + 22 + x - 4 = 180

4x = 162

x = 40.5

the question asks us to find measure of angle DBC so we substitute x which =

measure DBC = x - 4

measure DBC = 40.5 - 4

measure DBC = 36.5 degrees

hope this helps!! :)

Answer:

True

Step-by-step explanation:

Answer:

Hai

Yes, its true.

because in 21, there are 4 times of 5 and we have left 1 number..

you can multiply -4 with 5 and add the number of the denominator (1)

i wanna give one more example because couldnt explained well.

3 2/3 can be written as 11/3.

you can try it too!

good luck(:

Answer: The outcome of spinning a spinner with five equal outcomes

Step-by-step explanation:

The discrete random variable that could be represented by a  probability histogram whose bars are all the same height is;

Option C; The outcomes of spinning a spinner with five equal sections

The probability histogram is a type of histogram whereby the height of each bar shows the true probability of each outcome of a specific number of trials.

Now, let us look at the options;

Option A; This cannot be represented by a probability histogram because it doesn't show probability.

Option B; This cannot be represented by a probability histogram because it shows just ages and doesn't show probability.

Option C; This can be be represented by a  probability histogram because it shows the probability of each outcome of spinning five equal sections.

Option D; This cannot be represented by a probability histogram because it should show the probability of each outcome and not just that of one weighted die.

Read more at; https://brainly.com/question/22690577

Answer:

3

Step-by-step explanation:

1, 5, 25

Answer:

12

Step-by-step explanation:

V=πr2h=π·22·3≈37.69911

Answer:

Step-by-step explanation:

5 horses are spotted, out of 15 total.

5/15 = 1/3

I'm always happy to help :)