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3 years ago

Find the common difference of the sequence shown.

Mathematics

2 answers:

hammer [34]3 years ago

8 0

the common difference is -1/4

tatyana61 [14]3 years ago

5 0

The common difference is -1/4.
You can figure this out by subtracting each value in the sequence by the value right before it. Ex. 1/4 - 1/2 = -1/4

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Bobby jo made 60 holiday cookies. 4/5 of the cookies are for her teachers and the rest are for her family .How many cookies are

Julli [10]

Answer:

Step-by-step explanation:

60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family

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3 years ago

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solong [7]

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2 years ago

give two examples that show how using parentheses can change the order in which operations are performed in an expression.

erica [24]

Parenthesis indicate which part of the equation is to be done first, see PEMDAS. For example, 3(5-2)-4=5, but 3*5-(2-4)=17

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3 years ago

Read 2 more answers

Zach's phone plan costs $0.10 for each text message he sends. He has a $10 limit. Write and solve an inequality to determine how

sergejj [24]

Answer:

Zach can send at most 100 messages, or if x is how many messages, x≤100

Step-by-step explanation:

We will start by putting the amount of money Zach's limit has into cents. This will be 1000 cents. We will also put how much money Zach uses per message as cents, which will be 10. Now here is the first inequality you can make with this information

10x≤1000

From here you divide both sides of the inequality by 10 and get

x≤100

This is the final inequality, and it means Zach can send less than or equal to 100 messages

6 0

3 years ago

A perfectly straight 24 ft tall tree grows on the edge of the bank of a 45 foot wide river. A bird sitting at the top of the tre

True [87]

Answer:

Distance covered by the bird before meeting the water is: 51.264 ft

Step-by-step explanation:

Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

$distance=Vel\,* time=3\,\frac{ft}{s} *\,2\,\,s=6 \,\,ft$

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.

Such hypotenuse is (using Pythagoras theorem):

$hyp =\sqrt{(60\,ft)^2+(22.5\.ft)^2} =\sqrt{4106.25} \,ft=64.08\,ft$

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.

The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:

So we make the proportion between known legs, and hypotenuses:

$\frac{24\,ft}{30\,ft} =\frac{D}{64.08\,ft} \\D=\frac{64.08\,ft\,*\,24\,ft}{30\,ft} \\D=51.264\,ft$

7 0

3 years ago