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vagabundo [1.1K]
3 years ago
15

In a 5 km race, Anna swims 450 m, then runs 800 m. She then cycles the rest of the race. How many kilometres does she cycle?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0
5km = 5000 meters
450m+800m= 1250m
5000m-1250m= 3,750m
3 3/4 km
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Pls help me with this :)<br><br><br> .
san4es73 [151]

Answer:

35 is the answer thank u 35 is a real answer

3 0
3 years ago
X^2+43xy+590y^2 resolve into factors​
Natalija [7]

Step-by-step explanation:

We have:

x - y = 43 , xy = 15

To find, the value of x^2+y^2x

2

+y

2

= ?

∴ x - y = 43

Squaring both sides, we get

(x - y)^2(x−y)

2

= 43^243

2

⇒ x^2+y^2x

2

+y

2

- 2xy = 1849

Using the algebraic identity,

(a - b)^2(a−b)

2

= a^2+b^2a

2

+b

2

- 2ab

⇒ x^2+y^2x

2

+y

2

= 1849 + 2xy

Put xy = 15, we get

x^2+y^2x

2

+y

2

= 1849 + 2(15)

⇒ x^2+y^2x

2

+y

2

= 1849 + 30

⇒ x^2+y^2x

2

+y

2

= 1879

∴ x^2+y^2x

2

+y

2

= 1879

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7 0
3 years ago
A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks:
asambeis [7]
y = 0.012x + 0.65<span><span><span>

Number of pages </span> <span>     50.00    </span><span>  100.00 </span><span>   150.00 </span> <span>   200.00 </span> </span> <span> <span> 
Cost </span> <span>                           1.25 </span> <span>         1.85 </span> <span>       2.45 </span> <span>       3.05

x = number of pages
y = cost

intervals of x = 50 pages
intervals of y = 0.60
0.60 / 50 = 0.012

y = 0.012x + 0.65

</span></span></span><span> <span> </span><span><span> <span>                      x </span> <span>      0.012*x </span> <span>              y  </span>
</span> <span> 0.012 <span>           50 </span> <span>         0.60 </span> <span>    0.65 </span> <span>   1.25
</span></span><span>0.012 <span>         100 </span> <span>         1.20 </span> <span>    0.65 </span> <span>   1.85
</span> </span> <span> 0.012 <span>         150 </span> <span>         1.80 </span> <span>    0.65 </span> <span>   2.45
</span> </span> <span> 0.012 <span>         200 </span> <span>         2.40 </span> <span>    0.65 </span> <span>   3.05 </span> </span></span></span><span>
</span>
5 0
3 years ago
Which set of steps will translate f(x)=6x to g(x)=6x-5-7
Maurinko [17]

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

7 0
2 years ago
210 is equal to the total of p and 111
Aleks [24]

Answer:

p + 111 = 210

p = 99

Step-by-step explanation:

Break the question down into parts.

<u>Convert each part into algebraic form</u> (numbers or symbols).

210                                =>   210

is equal to                    =>   =

the total of p and 111    =>   p + 111

Put the equation together:

210 = p + 111

Usually, the variable is on the left side:

p + 111 = 210

<u>To solve the equation is to isolate "p"</u>. This means to keep "p" on the left, and move everything else to the right side. When moving something, do the <u>reverse operation</u> to both sides of the equation.

p + 111 = 210            "111" should be on the left. It's opposite is -111.

p + 111 - 111 = 210 - 111                Simplify. "111" cancels out on the left.

p = 99                     Solved for "p"

6 0
3 years ago
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