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Ilia_Sergeevich [38]
3 years ago
6

The sum of two number is 10. the difference between the numbers is 4. what are the two numbers.

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0
Your answer is 7 and 3.
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How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/3 and 1/7
Ludmilka [50]

Answer:

11/21

Step-by-step explanation:

1/3=7/21

1/7=3/21

(7+3)/21=10/21

21/21-10/21=11/21

Thus 11/21 of the circle is shaded.

6 0
2 years ago
A particular isotope has a​ half-life of 74 days. If you start with 1 kilogram of this​ isotope, how much will remain after 150
shtirl [24]

\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}


\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}

6 0
3 years ago
2.283:3<br> What is the answer ?
ehidna [41]

Answer:

0.761

Step-by-step explanation:

first you do 3 divided by 2.2 and get .733 which you round to .7

next you do 3 divided by 2.28 and get .76

last you do 3 divided by 2.283 and get .761

6 0
3 years ago
Read 2 more answers
Find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units
lina2011 [118]

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = \sqrt{(10-2)^2+(y+3)^2}

   = \sqrt{8^2+(y+3)^2}

Given distance between points is 10, then

\sqrt{64 +(y+3)^2} = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± \sqrt{36} = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

7 0
3 years ago
The ratio of the radii of two spheres is 2:5. The volume of the smaller sphere is 192 in3. What is the volume of the larger sphe
Evgen [1.6K]
Ratio of volumes is 2^3:5^3 or 8:125 192/V = 8/125 V = 3000 in^3
4 0
3 years ago
Read 2 more answers
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