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Reika [66]
3 years ago
11

To find 15/16 multiplied by 4/5 Kali writes 15/16 multiplied by 4/5 =3/4 multiplied by 4/5=3/5. What mistake does she make? Dete

rmine the correct answer

Mathematics
2 answers:
Ber [7]3 years ago
7 0

Answer:

The mistake is to make \frac{15}{16}=\frac{3}{5}

The correct answer \frac{3}{4}

Step-by-step explanation:

This is the operation performed by Kali:

\frac{15}{16}*\frac{4}{5}=\frac{4}{5}*\frac{3}{5}=\frac{12}{25}

but 15/16 ≠3/5, so knowing this   \frac{a}{b}*\frac{c}{d}=\frac{a}{d}*\frac{c}{b}  ,  then

\frac{15}{16}*\frac{4}{5}=\frac{15}{5}*\frac{4}{16}=3*\frac{1}{4}=\frac{3}{4}

zaharov [31]3 years ago
3 0

Step-by-step explanation:

Below is an attachment containing the solution.

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The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen
BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} =    \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm

r = 8.9 \pm 0.2 cm

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

A=\pi r^{2}\\A=249 cm^{2}

Then we calculate the error:

\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}

A=249 \pm 11.2 cm^{2}

Now we proceed to calculate the percent error:

\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}

Now we calculate the error for the radius:

\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm

Now we proceed with the error for the circumference:

\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm

5 0
3 years ago
Evaluate 3^2 + (5 − 2) ⋅ 4 − 6 over 3.<br> 19<br> 16<br> 46<br> 24
Ludmilka [50]
3^2 +(5-2)* 4-6/3
Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction
3^2+3*4- 6/3
9+3*4- 6/3
9+12- 6/3
9+12-2
9+10
19
So your answer is 19.
8 0
2 years ago
-3(4x-1) + 9x +8x if x = -9
Murljashka [212]

Answer:

-42

Step-by-step explanation:

5 0
3 years ago
Can you help me order them from lease to greatest
Ludmilka [50]
Okay. So 3/5 in decimal form is 0.6. 7/10 in decimal form is 0.7. When you put them in order from least to greatest, the order would be 0.15, 3/5, 7/10, 0.85. Converting fractions to decimals and looking at the different places and what not could help make solving questions like these much easier.
3 0
2 years ago
Find the solutions of the quadratic equation -9c² +2 +3 = 0.
Tresset [83]

Given that,

An equation : -9c² +2c +3 = 0

To find,

Find the value of x.

Solution,

We have, -9c² +2c +3 = 0

We can solve it using the formula as follows :

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here, a = -9, b = 2 and c =3

Put the values,

c=\dfrac{-2\pm \sqrt{(2)^2-4(-9)(3)}}{2(-9)}\\\\c=\dfrac{-2+\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}, \dfrac{-2-\sqrt{(2)^{2}-4(-9)(3)}}{2(-9)}\\\\c=-0.47, 0.69

So, the solution are -0.47 and 0.69.

8 0
3 years ago
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