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alina1380 [7]
2 years ago
12

the table shows the total number of apples pears and oranges in a fruit basket. Which statement represents the relationship betw

een the total pieces of fruit and the number of pears in the basket

Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

Answer:

A. There is four times as much total fruit as pears.

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If f(x)= -5 -7x, find f(-2)
swat32

Answer:

Given f(-2)

= -5 -7(-2)

= -5+14

= 9

Thus f(-2) of f(x)= 5-7x is 9

4 0
3 years ago
Can someone please help?? what’s the measure of the vertex angle
maw [93]

Answer:

120 deg

Step-by-step explanation:

There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.

The measure of the vertex angle is 2 * 60 deg = 120 deg

Answer: 120 deg

7 0
2 years ago
How many different linear arrangements are there of the letters a, b,c, d, e for which: (a a is last in line? (b a is before d?
inna [77]
A) Since a is last in line, we can disregard a, and concentrate on the remaining letters.
Let's start by drawing out a representation:

_ _ _ _ a

Since the other letters don't matter, then the number of ways simply becomes 4! = 24 ways

b) Since a is before d, we need to account for all of the possible cases.

Case 1: a d _ _ _ 
Case 2: a _ d _ _
Case 3: a _ _ d _
Case 4: a _ _ _ d

Let's start with case 1.
Since there are four different arrangements they can make, we also need to account for the remaining 4 letters.
\text{Case 1: } 4 \cdot 4!

Now, for case 2:
Let's group the three terms together. They can appear in: 3 spaces.
\text{Case 2: } 3 \cdot 4!

Case 3:
Exactly, the same process. Account for how many times this can happen, and multiply by 4!, since there are no specifics for the remaining letters.
\text{Case 3: } 2 \cdot 4!

\text{Case 4: } 1 \cdot 4!

\text{Total arrangements}: 4 \cdot 4! + 3 \cdot 4! + 2 \cdot 4! + 1 \cdot 4! = 240

c) Let's start by dealing with the restrictions.
By visually representing it, then we can see some obvious patterns.

a b c _ _

We know that this isn't the only arrangement that they can make.
From the previous question, we know that they can also sit in these positions:

_ a b c _
_ _ a b c

So, we have three possible arrangements. Now, we can say:
a c b _ _ or c a b _ _
and they are together.

In fact, they can swap in 3! ways. Thus, we need to account for these extra 3! and 2! (since the d and e can swap as well).

\text{Total arrangements: } 3 \cdot 3! \cdot 2! = 36
7 0
3 years ago
If the hypotenuse of a right triangle is 2 <img src="https://tex.z-dn.net/?f=%5Csqrt%7B3%7D" id="TexFormula1" title="\sqrt{3}" a
Svetradugi [14.3K]

Answer:

3

Step-by-step explanation:

a = the other leg:

a^{2} =(2\sqrt{3} )^{2} -(\sqrt{3}) ^{2} =(4)(3)-3=12-3

a^{2} =9

a=\sqrt{9}

a=3

Hope this helps

5 0
1 year ago
Give the rate in miles per hour round to the nearest tenth Rachel jogs 20 feet in three seconds
Ostrovityanka [42]

Answer:

4.5 miles per hour is her rate in miles per hour

Step-by-step explanation:

We want to convert 20 ft per second to miles per hour

If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft

So convert 20/3 ft/second to miles per hour

Mathematically;

1 mile = 5280 feet

So one feet = 1/5280 mile

1 hour = 3600 seconds

1 second = 1/3600 hour

So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600

Hence; we have;

(20/3 * 1/5280)/1/3600

= 20/3 * 1/5280 * 3600/1

= 4.4545 which is 4.5 miles per hour

7 0
3 years ago
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