Please answer asap!!!!

A herd of dinosaurs made paintings in the sand with their claws.

Sati [7]

baby Dino = 15 paintings
Adult Dino = 7 paintings
Entire herd = 208 paintings

//Defining of Variables:
A = no. Of Adult
B = no. Of Baby

This is a simultaneous question so we’ll have to make up some equations.

3B = A —— (1)
This means there is 3x as many baby Dino as adult Dino

15B + 7A = 208 —— (2)
This means 15 paintings being painted by B number of babies + 7 paintings being painted by A number of Adults is 208 paintings.

Those are the equations we set.
Since we know A = 3B,

We can substitute A = 3B into (2).
As such:

15B + 7A = 208
15B + 7(3B) = 208
15B + 21B = 208
36B = 208.

We did that so that we only have 1 unknown variable so that we can calculate what is the value of a unknown variable, which in this case, is B.
If we furthur solve that equation above,

36B = 208
B = 5.777777777 ????

The reason why I was left with 5.77777777 amount of baby dinosaurs is because I didn’t know the value of the variables correctly as you didn’t state it clearly.

However, I’ve done the concept behind this question and I hope it helps you :)

If you would like me to solve it, could you please give me the values of the variables clearly?

Thanks, and have a good day ahead!

8 0

3 years ago

A rectangle whose area is 180 square feet has a width that is 3 feet less than the length. Find the dimensions of the rectangle.

Yuliya22 [10]

Answer:

The length is $15\ ft$

The width is $12\ ft$

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

we have

$A=180\ ft^{2}$

so

$180=LW$ -----> equation A

$W=L-3$ ------> equation B

substitute equation B in equation A and solve for L

$180=L(L-3)$

$180=L^{2}-3L$

$L^{2}-3L-180=0$

using a graphing tool------> solve the quadratic equation

The solution is $L=15\ ft$

see the attached figure

<em>Find the value of W</em>

$W=15-3=12\ ft$

4 0

3 years ago

Evaluate the expression 3 4/5x-2 1/2 for x =-10

lyudmila [28]

Answer:

The value of given expression for x = - 10 is - 81

Step-by-step explanation:

Given expression as :

3 $\frac{4}{5}$ x - 2 $\frac{1}{2}$

Or, 3 + $\frac{4}{5}$ x - 2 - $\frac{1}{2}$

Or, $\frac{19}{5}$ x - $\frac{5}{2}$

or, $\frac{38 x - 25}{5}$

Now for x = - 10

$\frac{38\times (- 10) - 25}{5}$

Or, ${38\times (- 2) - 5}$

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10 is - 81 Answer

5 0

3 years ago

John, Sally, and Natalie would all like to save some money. John decides that it would be best to save money in a jar in his clo

Radda [10]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2) $y=100x+300$

Part 3) $\$12,300$

Part 4) Is a exponential growth function

Part 5) $A=6,000(1.07)^{t}$

Part 6) $\$11,802.91$

Part 7) Is a exponential growth function

Part 8) $A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

Part 9) $\$13,591.41$

Part 10) Natalie has the most money after 10 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

$y=mx+b$

The slope is equal to

$m=\$100\ per\ month$

The y-intercept or initial value is

$b=\$300$

so

$y=100x+300$

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

$y=100x+300$

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

so

10 years=10(12)=120 months

For x=120 months

substitute in the linear equation

$y=100(120)+300=\$12,300$

Part 4) What type of exponential model is Sally’s situation?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$P=\$6,000\\ r=7\%=0.07\\n=1$

substitute in the formula above

$A=6,000(1+\frac{0.07}{1})^{1*t}$

$A=6,000(1.07)^{t}$

therefore

Is a exponential growth function

Part 5) Write the model equation for Sally’s situation

$A=6,000(1.07)^{t}$

see the Part 4)

Part 6) How much money will Sally have after 10 years?

For t=10 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{10}=\$11,802.91$

Part 7) What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$P=\$5,000\\r=10\%=0.10$

substitute in the formula above

$A=5,000(e)^{0.10t}$

Applying property of exponents

$A=5,000(1.1052)^{t}$

therefore

Is a exponential growth function

Part 8) Write the model equation for Natalie’s situation

$A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

see Part 7)

Part 9) How much money will Natalie have after 10 years?

For t=10 years

substitute

$A=5,000(e)^{0.10*10}=\$13,591.41$

Part 10) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

4 0

4 years ago

Read 2 more answers

Angle A and angle B are supplementary angles.

Paha777 [63]

Solution:

As per the problem we have

Angle A and angle B are supplementary angles.

As we know that , two angles are supplementary angles if their sum is 180.

So when these two angles will be together on a plane will make a straight line.

Hence , when Angle A and angle B are supplementary angles.

Then

The sum of the angles is 180 degree.

4 0

3 years ago

Read 2 more answers