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Fynjy0 [20]
3 years ago
14

If Marcie collects 5 stickers and gives away three stickers each week, how many stickers will she have in 5 weeks?

Mathematics
1 answer:
Sliva [168]3 years ago
6 0
So in 5 weeks, Marcie will have collected 25 stickers, and given away 15. She will have 10 stickers left. I hope that this helps! :)
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in a farm 20% of animals are cows . 0.4 are goat and the rest are sheep.How many cows are there if there are 40 sheeps​
Zolol [24]

Step-by-step explanation:

20%=cows 0.4(40%)=goat 40%=sheep

if 40%sheep=40 sheeps

20% cow=x

20%×40=40%×x

8=40%x

x=8/40%

x=20

..so there are 20 cows

sorry...not sure

3 0
3 years ago
Read 2 more answers
I really need help I don’t understand how to do this
krek1111 [17]

Answer:

Step-by-step explanation:

Remark

The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.

The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.

Solution

Sin(8) = 1817 / x           Multiply both sides by x

x*sin(8) = 1817             Divide by sin(8)

x = 1817/sin(8)

sin(8) = 0.1392

x = 1817/0.1392

x = 13055.7

Note

Watch how you do this. I would put it into your calculator as

1817

÷

sin(8)

=

If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).

8 0
3 years ago
What is the least common denominator for 5,6,and7?
olga nikolaevna [1]

Answer:

210

Step-by-step explanation:

5 is a prime number, 6 = 2·3 and 7 is a prime number. Since those number do not have common factors, the least common multiple will be their product:5·6·7 = 210 . Given fractions are already in order from least to greatest.

7 0
3 years ago
Rationalize the denominator and simplify 6/√2-√3
ss7ja [257]
Answer:

<span>=3<span>√6</span>−3<span>√5</span></span>

Explanation:

<span>3<span><span>√5</span>+<span>√6</span></span></span>

We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>

<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>

<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>

<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>

5 0
3 years ago
15 points!!! GEOMETRY help please!!<br> Questions attached!
dolphi86 [110]
3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o

Answer:\ \boxed{47^o}

4.
Look at the picture.

Use Pythagorean theorem:

x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8

Used:\ (a+b)^2=a^2+2ab+b^2

Answer:\ \boxed{4.8\ units}

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
We know:

k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1

therefore

-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}

So. We have the answer! :)

Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}

6 0
3 years ago
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