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3 years ago

The difference of two numbers if four and their product is 60

Mathematics

1 answer:

cricket20 [7]3 years ago

4 0

Answer:

The two numbers are 10 and 6.

Step-by-step explanation:

Let's begin by calling these two numbers x and y, and setting up a system of equations.

x-y=4

x*y=60

Now, you can rearrange the first equation to find the value of x expressed through y.

x=y+4

Now, you can substitute this into the second equation.

(y+4)*y=60

y^2+4y=60

y^2+4y-60=0

(y-6)(y+10)=0

y=6

x=6+4=10

Hope this helps!

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On the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs. If this patte

Allushta [10]

Answer:

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: $a_n=a_1+(n-1)d$ , where,

$a_n=\text{nth term of the sequence}$ ,

$a_1=\text{1st term of the sequence}$ ,

$n=\text{Number of terms of the sequence}$ ,

$d=\text{Common difference}$ .

Since on the first day Jessie scored 2 runs, so $a_1=2$ and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

$a_n=2+(n-1)*2$

$a_n=2+2n-2$

$a_n=2n$

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is $a_n=2n$ .

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

$a_8=2*8$

$a_8=16$

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

8 0

3 years ago

Can someone solve this please

Elanso [62]

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7 0

3 years ago

1.5[3(14.5+7)-3]-7.4

nalin [4]

Answer:

84.85

Step-by-step explanation:

1.5[3(14.5+7)-3]-7.4

1.5[3*21.5-3]-7.4

1.5*61.5-7.4

=84.85

7 0

3 years ago

Fill in the blanks to make each equation true

olasank [31]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Which of the following hypotheses/theories suggests that investors regard a change in dividend payments as a signal that the fir

lutik1710 [3]

Answer:

Step-by-step explanation:

Dividend policy (hypothesis) of firms as stated by Musa (2009) is a cultural phenomenon that changes continuously according to environment and time, hence it is necessary to continuously modify dividend behavioural models to capture those factors that are peculiar to a particular period and environment, as well as changes in tax.

Hope this helps

7 0

3 years ago