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3 years ago

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The prices in the table show the cost of each activity at the fun place.About how much would it cost for 4 people to play minita

ture golf? Estimate

1 answer:

marysya [2.9K]3 years ago

6 0

Go on mathway and it will give you the answer

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Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st

Ronch [10]

From the table, the speed of Corinne is given by

$speed=slope= \frac{2.5-1.25}{20-10} = \frac{1.25}{10} =0.125 \ miles / minute$

From the graph, the speed of Aretha is given by

$speed=slope= \frac{5.5-4.5}{20-10} = \frac{1}{10} =0.1 \ miles / minute$

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t

Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then

0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140

Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.

6 0

3 years ago

Read 2 more answers

Evaluate x + y + z if x = 3, y = -5, and z = -2

Eduardwww [97]

x + y + z

Substitute the given values for x, y, and z.

(3) + (-5) + (-2)

Rewrite the equation.

3 - 5 - 2

Solve from left to right.

3 - 5 = -2

-2 - 2 = -4

<h3>Your answer is -4.</h3>

7 0

3 years ago

If $8700 is invested at 3% annual simple interest, how much should be invested at 6% annual simple interest so that the total ye

True [87]

First off, see how much 8700 as principal, yields at 3% APR
that is $\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$8700\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &1
\end{cases}$

it will yield some amount

subtract that amount from 393
the difference is how much the yield will be on the 6% investment
so

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\quad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$8700\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &1
\end{cases}
\\\\\\
\implies \boxed{?}\\\\
-----------------------------\\\\
\textit{how much to invest at 6\%?}
\\\\\\
$

$\bf \qquad \textit{Simple Interest Earned}\\\\
(393-\boxed{?}) = Prt\quad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
t=years\to &1
\end{cases}
\\\\\\
\textit{solve for "P", to see how much should the Principal be}\\\\
\textit{keep in mind that }P+\boxed{?}=393\leftarrow \textit{both yields added}$

6 0

3 years ago

Show all work!!!!! brainleist will be given!

Gala2k [10]

Answer:

+30

Step-by-step explanation:

1255- 1075 = 180

180 /6 = 30

4 0

3 years ago

Find the 4th term of the geometric sequence whose first term is 3 and common ratio is 2.

barxatty [35]

The 4th term of the geometric sequence whose first term is 3 and the common ratio is 2 is 24.

<h3>What is a geometric sequence and how to find its nth terms?</h3>

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r then the sequence would look like

a, ar, ar², ar³,...., arⁿ

Thus, the nth term of such sequence would be aₙ = a₁ × r⁽ⁿ⁻¹⁾ (you can easily predict this formula, as for the nth term, the multiple r would've multiplied with initial terms n-1 times).

Given the first term of the sequence is 3, while the common ratio is 2, therefore, the fourth term of the geometric sequence can be written as,

aₙ = a₁ × r⁽ⁿ⁻¹⁾

a₄ = 3 × 2⁽⁴⁻¹⁾

a₄ = 3 × 2³

a₄ = 24

Hence, the 4th term of the geometric sequence whose first term is 3 and the common ratio is 2 is 24.

Learn more about Geometric Sequence:

brainly.com/question/2735005

#SPJ1

6 0

2 years ago