Solve the following inequality algebraically:<br> look at the picture

Spiral Review A chili cook-off has adult tickets a and child tickets C. A group of visitors buys 3 adult tickets and 2 child tic

dem82 [27]

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

3 0

3 years ago

A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m

Artyom0805 [142]

With no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

$p(m)=19.3(1089)^m$

Most recently, the scientist counted 138 plants.

$138=19.3(1089)^m\\(1089)^m=7.15$

Taking log both sides of the equation,

$\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1$

Thus, with no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

brainly.com/question/15602982

5 0

2 years ago

Let's find2. 1+5 3First write the addition with a common denominator.Then add.12— +51-4-13Х5

emmasim [6.3K]

Answer: $\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}$ Explanation:

The given addition exercise is:

$\frac{2}{5}+\frac{1}{3}$

The LCM of the denominator (5 and 3) = 15

Multiply 2/5 by 3/3

$\frac{2}{5}=\frac{2\times3}{5\times3}=\frac{6}{15}$

Multiply 1/3 by 5/5

$\frac{1}{3}=\frac{1\times5}{3\times5}=\frac{5}{15}$

The addition becomes

$\frac{6}{15}+\frac{5}{15}=\frac{11}{15}$

Therefore, we can fill in the vacant boxes as shown below:

$\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}$

4 0

9 months ago

What is the correct reason for statement 2? Prove: 10(w + 6) + 4 = 10w + 64 Statements Reasons 1. 10(w + 6) + 4 1. Given 2. (10w

ira [324]

Answer is <span>A. Distributive Property
---------------------------------------------------
</span><span>Reasons 1. 10(w + 6) + 4
</span>Given 2. (10w + 60) + 4 ...this is expand the Distributive Property<span>

</span>hope that helps

7 0

3 years ago

Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

TiliK225 [7]

Answer:

The perimeter of rectangle is $18\ cm$