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Ludmilka [50]
3 years ago
6

Anna, Gina, and Ted divided up a box of post cards. Anna took one-fourth of the cards. Gina took half of what remained. Ted took

the remaining 6 cards. How many cards were in the box?
Mathematics
2 answers:
zhenek [66]3 years ago
4 0
12 * 4 = 48
48 \ 3= 16
aliina [53]3 years ago
3 0

Answer:

16 cards

Step-by-step explanation:

We can use logic to find out how many cards were in the beginning.

If Ted took 6 cards, and Gina took half of what remained, then when Gina took cards, she had 6\cdot2=12 to choose from.

Now, Anna took \frac{1}{4} of the cards, meaning that 12 is \frac{3}{4} of the amount of cards there originally were.

\frac{12}{x} = \frac{3}{4}\\\\12\cdot4=48\\\\48\div3=16

Hope this helped!

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Gabby sells candy bars for $ 1 dollar each, and Twizzlers for 25 cents each. For every dollar she earns she gives 10 cents to ch
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Answer:

$47.925 for herself.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
Solve the system of linear equations by substitution.<br> 2x-y=3<br> x+5y=14
adoni [48]
Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12
4 0
3 years ago
On my brother's 14th birthday, he was 160 cm tall. Within exactly one year, his height increased by 6%. How tall was he on his 1
Charra [1.4K]

Answer:

170 cm

Step-by-step explanation:

160+.06*160=160+9.6=169.6

8 0
3 years ago
Thank you to whoever helps!
shepuryov [24]

Answer:

  • M
  • 90°

Step-by-step explanation:

The segment joining an original point with its rotated image forms a chord of the circle of rotation containing those two points. The center of the circle is the center of rotation.

This means you can find the center of rotation by considering the perpendicular bisectors of the segments joining points with their images. Here, the only proposed center that is anywhere near the perpendicular bisector of DE is point M.

__

Segment AD is perpendicular to corresponding segment FE, so the angle of rotation is 90°. (We don't know which way (CW or CCW) unless we make an assumption about which is the original figure.)

4 0
3 years ago
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