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algol13
3 years ago
9

dakota runs a half marathon every 6 weeks. madison runs a half a marathon every 15 weeks. how many weeks untill they will run to

gether?
Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
30 weeks they would both run30 miles
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What is the explicit formula for the following sequence: -4, -1, 2, 5...?
stiv31 [10]
U have an arithmetic sequence with a common difference of 3

A(n) = -4 + (n-1) * 3
4 0
3 years ago
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for
vivado [14]

Answer:

The equation to represent the rate of receding water level is                     L = 34 (0.5)^{d}   .

Step-by-step explanation:

Given as :

The initial level of water in river = 34 feet

The rate of receding water level = 0.5 foot per day

Or, The rate of percentage of receding water level = 50 % per day

Let the level of water after d days = L

Now,

The level of water after d days = initial level of water × ( (1-\dfrac{\textrm Rate}{100})^{Time}

I.e L = 34 × ( (1-\dfrac{\textrm 50}{100})^{d}

∴  L = 34 × (0.5)^{d}

Hence The equation to represent the rate of receding water level is                L = 34 (0.5)^{d}   . Answer

5 0
3 years ago
There was 2/3 of pan of lasagna in the refrigerator. Bill and his friends ate half of what was left. Write a number sentence and
Veseljchak [2.6K]
Half of 2/3 is:

\frac { 1 }{ 2 } \times \frac { 2 }{ 3 } =\frac { 1 }{ 3 }

This means that 1/3 was left. This also means that they ate 1/3 of the lasagne.

Model diagram can be seen in attachment.

5 0
3 years ago
Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *
Mrac [35]

let's firstly convert the mixed fractions to improper fractions and then proceed.

\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill

\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x

7 0
2 years ago
What is (13-2x)(13-2x) ?
Irina-Kira [14]

(13-2x)(13-2x)

(13+-2x)(13+-2x)

(13)(13)+(13)(-2x)+(-2x)(13)+(-2x)(-2x)

169-26x-26x+4x^2

4x^2-52x+169


I hope that's help !

I

3 0
3 years ago
Read 2 more answers
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