Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237. a. Write an equation that can be used to find the number of swimming lessons that she paid for.

Answers

Answer 1

Answer: 237+15x=402
-237 -237
0 165
x= 15÷165
x=11
237+15(11)=402
237+165=402

Answer 2

Answer: Caitlin paid for 11 swimming lessons, because $402-$15(11 *SL).
*SL=Swimming Lessons

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He function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?A.(–5, –28) B.(–5, 28) C.(5, –28) D.(5, 28)

Make a the subject of V^2=U^2+2as

Answers

V² - U² = 2as

So

(V² - U²) /2s = a

Ethan‘s bank account listed a balance of $328.80. He originally opened the account with a $200 deposit and a simple interest rate of 4.6% If there were no deposit or withdrawals, how long ago was the account opened

Answers

Answer:

Step-by-step explanation:

$Interest=\frac {PRT}{100}$ where P is principal amount, R is rate in percentage and T is time.

Making T the subject of the formula,

$T=\frac {Interest * 100}{PR}$

For Ethan's case, Interest=$328.8-$200=$128.8

Substituting $128.8 for interest, 4.6% for rate and $200 for P we obtain

T=(128*100)/(4.6*$200)=14

Since the rate wasn't specified whether annually or monthly, the time can be 14 years or 14 months

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium?

Answers

Answer:

Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.

Step-by-step explanation:

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices.

" The CIRCUMCENTER (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle "

Hence Jaden has to plant the geranium in the circumcentre of the triangular yard in order such that it is equidistant from all its vertices.

Answer:

It’s b

Step-by-step explanation:

What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to two decimal places if needed. A. 48 cm3

B. 150.72 cm3

C. 288.00 cm3

D. 904.32 cm3

Answers

There should have been an image that accompanied this word problem.
I saw the image of the sphere. It has a radius of 6 cm.

We need the radius of the sphere to solve for its volume.

Volume of a sphere = 4/3 π r³
V = 4/3 * 3.14 * (6m)³
V = 1.33 * 3.14 * 216cm³
V = 902.06 cm³

I solved the problem using the full value of pi and the given answer was Choice D. 904.32

There is a difference in the actual answers because of the use of numbers with that only extends two decimal places.

What is the y-intercept of the line described by the equation below?

y = 7x + 4

Answers

The y-intercept is 4.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

GIven equation,

y = 7x+4

Comparing to the equation of Line y=mx+b,

Whereas the y-intercept is the b.

So, 7 is the slope and 4 is the y-intercept

Hence the y-intercept is 4.

Learn more about linear equation

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The y-intercept is where the graph crosses the y-axis. In the equation y=mx+b, the y-intercept is the b. So in y=7x+4, the y-intercept would be positive 4, or the ordered pair (0,4).

The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.