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Wittaler [7]
3 years ago
12

plz help me now plz: A cable 65 meters long is cut into two pieces so that one piece is 18 meters longer than the other. Find th

e length of each piece of cable
Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

One piece is 23.5

the other is 41.5

Step-by-step explanation:

first subtract 18 from 65 that will give you 47. Then 47÷2= 23.5. this is the length of the shorter piece. since one piece is 18 m longer then the other, add 18 to 23.5. that will give you the length of the longer piece. You can check your work by adding 23.5 and 41.5. They equal 65.

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The weight of mr nazeer is 7 times that of his son. What's the ratio of their weights?
Mekhanik [1.2K]

Answer:

<h3>7:1</h3>

Step-by-step explanation:

Let the weight of mr nazeer be x

Let the weight of his son be y

If the weight of mr nazeer is 7 times that of his son, then x = 7y

To get the ratio of their weight:

Ratio = weight of father/weight of son

Ratio = 7y/y

Ratio = 7/1

Ratio = 7:1

Hence the ratio of their weights is 7:1

3 0
3 years ago
Please answer, Thank you. Image below.
Bezzdna [24]

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

8 0
2 years ago
What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?
joja [24]

Answer:

23rd term of the arithmetic sequence is 118.

Step-by-step explanation:

In this question we have been given first term a1 = 8 and 9th term a9 = 48

we have to find the 23rd term of this arithmetic sequence.

Since in an arithmetic sequence

T_{n}=a+(n-1)d

here a = first term

n = number of term

d = common difference

since 9th term a9 = 48

48 = 8 + (9-1)d

8d = 48 - 8 = 40

d = 40/8 = 5

Now T_{23}= a + (n-1)d

= 8 + (23 -1)5 = 8 + 22×5 = 8 + 110 = 118

Therefore 23rd term of the sequence is 118.

4 0
3 years ago
Find the number of elements in A1 ∪A2 ∪A3 if there are 100 elements in A1, 1000 in A2, and 10,000 in A3 if a) A1 ⊆ A2 and A2 ⊆ A
Stella [2.4K]

Answer:

Step-by-step explanation:

Given that there are 3 sets such that  there are 100 elements in A1, 1000 in A2, and 10,000 in A3

a) If A1 ⊆ A2 and A2 ⊆ A3

then union will contain the same number of elements as that of A3

i.e. n(A1 ∪A2 ∪A3)=n(A3) =10000

b) If the sets are pairwise disjoint.

union will contain the sum of elements of each set

n(A1 ∪A2 ∪A3) = 100+1000+10000=11100

c) If there are two elements common to each pair of sets and one element in all three sets

We subtract common elements pairwise and add common element in 3

i.e. n(A1 ∪A2 ∪A3) = 100+1000+10000-2-2-2+1\\= 10995

5 0
3 years ago
Given: x + 5 ≥ 10. Choose the graph of the solution set.
gizmo_the_mogwai [7]
Let's solve the inequality.  Subtract 5 from both sides.  The result will be 

<span>x  ≥ 5.  This states, "x is equal to or greater than 5."
</span>
Plot 5 on the number line, using a dark solid dot.  Then draw an arrow from that point to the right.
3 0
3 years ago
Read 2 more answers
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