solve this system of equations by using substitution

3x + 5y = 23
y= x + 3

64 inches

Step-by-step explanation:

12 inches equals 1 foot so

12*5=60 inches which means it will be bigger than 5 feet.

The function to represent the growth of the bacteria overtime in your science experiment is:

[tex]y = 70(3^x)[/tex]

Solution:

Given that,

Suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour

Let,

y is the number of bacteria at time x

x is the number of hour(time)

As per the given information,

You start your experiment with 70 bacteria,and the bacteria triples in every hour

Therefore,

At end of 1 hour,

y = 70 x 3 = 210

At the end of 2 hours,

[tex]y = 210 \times 3 = 630\\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^2 = 70 \times 9 = 630[/tex]

At the end of 3 hours,

[tex]y = 630 \times 3 =1890 \\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^3 = 70 \times 27 = 1890[/tex]

Thus at end of "x" hours we will have,

[tex]y = 70 \times 3^x\\\\y = 70(3^x)[/tex]

Thus the function to represent the growth of the bacteria overtime in your science experiment

Answer:

(1 + 3x).

Step-by-step explanation:

We have to evaluate the missing term within the brackets in the following equation.

The equation is, 5 + 15x = 5(?)

Now, 5 + 15x

= 5 × 1 + 5 × 3x {We have to factorize the term where 5 is a factor}

= 5(1 + 3x) {This is reverse of the distributive property of multiplication}

Therefore, the missing term within the brackets is (1 + 3x). (Answer)

Answer:

She increased 80% the practise time

Step-by-step explanation:

The question is incomplete, the following is missing:

by how much did she increase the time she practised each day?

From Monday to Wednesday she increased 90 - 50 = 40 minutes  the practise time.

To compute the increment as a percentage use: increment/reference *100

In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.

Answer: increased by 40

she increased by 80%

Step-by-step explanation:

Answer: 216/343 or 0.6297

Step-by-step explanation:

[tex]14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x[/tex]

The value of X is 11.

Step-by-step explanation:

Given,

Equating eq(1) and (2),

⇒ 3X+5 = 38

⇒ 3X = 38-5

⇒ X = 33/3

⇒ X = 11

13.33.

We have, 150% × x = 20

or,

150

100

× x = 20

Multiplying both sides by 100 and dividing both sides by 150,

we have x = 20 ×

100

150

x = 13.33

If you are using a calculator, simply enter 20×100÷150, which will give you the answer.

Oi, give flamenco brainliest.

Answer:

The cost of one cricket bat is $370, while the cost of one cricket ball is $185.

Step-by-step explanation:

Let's identify what we already know:

1) Mr. Lenny paid a TOTAL of $1480.00 for 4 cricket balls, and two cricket bats.

2) The cost of one cricket bat is twice as much as a cricket ball.

We can create an initial equation:

(4 times x) + (2 times y) = $1480.00

x is the price of one cricket ball, while y is the price of one cricket bat. Considering how the problem is set up, I know the 4 balls should add up to the same price as two bats.

So, the four balls should equal half of $1480, which is $740, and the two bats should also equal $740.

Calculate it out, and you'll find that one cricket bat equals $370, while one ball equals $185.

The question can be solved by representing the cost of a ball as x and bat as 2x, forming the equation 4x + 2(2x) = 1480. Solving this equation finds the cost of the individual cricket ball and bat.

In this question, we know that the cost of one cricket bat is twice the cost of a cricket ball, and that Mr. Lenny bought 4 cricket balls and 2 cricket bats for $1480.00. To solve for the individual price of each item, we can use the method of substitution in algebra.

Let's represent the cost of a ball as x and a bat as 2x. This becomes an equation of 4x (cost of 4 balls) + 2(2x) (cost of 2 bats) = 1480.

Solving for x will give us the cost of one cricket ball, and multiplying the value of x by 2 will offer the cost of a single cricket bat.

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Answer:

c

Step-by-step explanation:

The situation described where the number of miles a car can run depends on the gallons of gasoline in the tank is a relation that is a function. Because for each amount of gas, there is one corresponding maximum distance the car can travel.

The situation described illustrates a relation that is a function. In this case, the amount of gasoline (in gallons) in the car's tank is the input or the independent variable (the domain), and the distance the vehicle can travel (the output or dependent variable) is a function of this input. For each amount of gasoline, there is only one corresponding maximum distance the car can travel, so this is a function. Thus, the best answer is B. A relation that is a function.

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Answer:

It would be a 70%

Step-by-step explanation:

Convert fraction (ratio) 42 / 60 Answer: 70%

Answer:

I think 24% percent?????

Answer:

3x - 6 < 18

3x < 24

x < 8

answer is a

Answer:

two dollars and fourteen cents

Step-by-step explanation:

Answer:two point fourteen

Step-by-step explanation:

Answer:

The answer is: 5/20 or a 25% chance

The probability that the pet store owner randomly selects a grey mouse for the window display is 0.25 or 25%.

The question asks for the probability of selecting a grey mouse from a pet store that has a total of 20 mice consisting of 11 white, 5 grey, and 4 brown mice. To find the probability, we use the ratio of the number of grey mice to the total number of mice.

The formula for probability is:

Probability (P) = Number of favorable outcomes / Total number of outcomes

We apply the formula as follows:

P(grey mouse) = Number of grey mice / Total number of mice = 5 / 20 = 0.25 or 25%

Therefore, the probability that the pet store owner selects a grey mouse for the window display is 25%.

The right answer is Option 2.

Step-by-step explanation:

Given inequality is;

-3x+5>17

Solving the inequality

Subtracting 5 from both sides of the inequality;

[tex]-3x+5-5>17-5\\-3x>12[/tex]

Dividing both sides of inequality by -3;

[tex]\frac{-3x}{-3}>\frac{12}{-3}\\\\x>-4[/tex]

The solution to the inequality is -4.

The right answer is Option 2.

Keywords: subtraction, division

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Answer: y=- 1/3x

Step-by-step explanation:

Answer:

300,904

Step-by-step explanation:

Correct statements are:

If it is reflected across the y-axis, its length still will be 12 units.

If it is rotated 270° about the origin, its length still will be 12 units.

If it is translated 15 units up, its length still will be 12 units.

Step-by-step explanation:

Whatever it may be rotation, reflection or translation, the size of the line will never change. So length of the line is same as 12 units in the image.

So the wrong statements are

If its reflected across y = -x then the length will no longer be 12 units.

If it is rotated 90° about the origin, then the length will no longer be 12 units.

If it is translated 18 units to the right,  then the length will no longer be 12 units.

You can use the fact that reflection, rotation or translation, all three are not modifying the line itself and only its position can change. Whatever be the position, if the line segment itself isn't modified, the length will be same.

Thus, the correct choices are:

Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.

Suppose you've got a baseball stick. Will it's length change when you take it somewhere else like from your home to playground? No. Will its length change if you hold it upside down? No.

This is the same case with line segment being rotated, reflected, or translated. All these processes do not change the line segment's length and can just move that line segment from one position to other.

Since reflection, rotation, or translation won't affect the length of the line segment,.

Thus, the correct choices are:

Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.

Learn more about reflection, rotation and translation of line segment here:

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Answer:1

Step-by-step explanation:

3 full parts out of 3 is 1

Answer:

1

Step-by-step explanation:

Any number over itself always simplifies to 1

Answer:

The correct option is C.) half the measure 62°

Step-by-step explanation:

i) Intercepted arc measures 124°

ii) The measure of the inscribed angle will be half of the intercepted arc

  therefore inscribed angle  = 124° / 2 = 62°

iii) Therefore the correct option is C.) half the measure 62°

The measure of an angle inscribed in a circle is half the measure of its intercepted arc. Therefore, if the intercepted arc is 124°, the inscribed angle would be 62°.

This problem is related to the relationship between arcs and inscribed angles in circles. In geometry, there's a specific rule that states: the measure of an angle inscribed in a circle is half the measure of its intercepted arc.

Therefore, if the intercepted arc measures 124°, its inscribed angle would have half the measure, or 62°. If the inscribed angle were to have the same measure, it would imply that the arc measure was double the angle, which is not the case here.

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Answer:

256[tex]x^{4}[/tex] - 2

Step-by-step explanation:

To evaluate (g ￮ f )(x), substitute x = f(x) into g(x)

g(4x) = [tex](4x)^{4}[/tex] - 2 = 256[tex]x^{4}[/tex] - 2

Answer:

Pythagoras’ theorem  is a way to find a side or hypothesis when you have 2 sides.  

The formula is:  a^2 + b^2 = c^2

a and b are sides

c is the hypothesis

Ex:  A triangle has a leg that is 5 inches and a leg that is 7 inches.  Find the hypothesis using Pythagoras' theorem.  

A leg is another way of saying a side.

5^2 + 7^2 = c^2

25 + 49 = x^2

sqrt(74) = sqrt(x^2)

sqrt(74) inches = hypothesis

Ex:  A triangle has a leg that is 9 feet and a hypothesis that is 25 feet.  Find the other leg using Pythagoras' theorem.

9^2 + b^2 = 25^2

81 + b^2 - 81 = 625 - 81

sqrt(b^2) = sqrt(544)

b = sqrt(554)

Do you understand more?

Answer:

%16

Step-by-step explanation:

Step 1:  Find the shots missed

25 - 17 = 8

Step 2:  Find half of the shots missed

8 / 2 = 4

Step 3:  Divide 4 by 25

4/25 = 0.16

Step 4:  Convert to Percent

0.16 * 100 = %16

Answer:  %16

Answer:

Step-by-step explanation:

Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.

Let , the number of math that he answers correctly on his his math exam for the year is x

Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.

Therefore total amount of money that he got is = $(5+0.50x)   [ x = number of correct math]

Answer:

1. 3/4

2. 54%

3. Both equal

4. Both equal

Step-by-step explanation:

Answer:

1.) 3/4

2.)0.54

3.) Both

4.) 2/3

Answer:

[tex]x\geq -\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6[/tex]

Isolate the parts of the equation with the x variable

[tex]2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}[/tex]

When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.

Hello there!

Im assuming you're solving for X!

Answer:

Your answer in Inequality Form comes to:

x > -3/4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.  

Answer:

78

Step-by-step explanation:

you multiply

Answer:

15x^9+12x^4

b is the answer

Answer:

6 meters

Step-by-step explanation:

length= 6+x

width= x

x (x+6)= 72⇔ [tex]x^{2}[/tex] + 6x - 72= 0⇔ x= (-6 ±[tex]\sqrt{6^{2} -4 *1*(-72) }[/tex]) / 2*1⇔

⇔ x= (-6±√324)/2 ⇔ x= (-6±18)/2 ⇔ x= 6 ∨ x= -12

Since the width of a rectangle can't be negative, the answer will be 6 meters.

Step-by-step explanation:

[tex] \frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z) \\ \\ \therefore \: \frac{ (z + 4) - 6 \times 3}{3} = \frac{2(5 - z) }{3} \\ \\ \therefore \: \frac{ z + 4 -18}{3} = \frac{10 - 2z }{3} \\ \\ \therefore \: \frac{ z - 14}{3} = \frac{10 - 2z}{3} \\ \\ \therefore \: z - 14 = 10 - 2z \\ \\ \therefore \: z + 2z = 10 + 14\\ \\ \therefore \: 3z =24 \\ \\ \therefore \: z = \frac{24}{3} \\ \\ \: \: \: \: \: \: \: \: \huge \orange{ \boxed{ \therefore \: z = 8}}[/tex]