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Naddika [18.5K]
3 years ago
5

The difference of two positive numbers is 69. The quotient obtained on dividing one by the other is 4. Find the number.​

Mathematics
1 answer:
valentinak56 [21]3 years ago
6 0

Answer:

x=92 y=23

Step-by-step explanation:

Let them be x and y respectively

so given

x-y=69

and

x/y=4  x=4y

so we can write

x-y=69

as

4y-y=69  3y=69 y= 69/3 = 23

now y is 23

so putting in any equation will give the value of x

so

x-23=69 x=92

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What is the expression of 5 times the difference between 19 and 13
saveliy_v [14]

Answer:

5 x 6

Step-by-step explanation:

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3 years ago
If you subtract twelve from twice a number, the result is six.what is the number?
zzz [600]
12×2+6= your anwser. (tip:12×2 is 24)
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3 years ago
What’s the reciprocal of 5 and 11/12
Stels [109]

Answer:

1/5 and 12/11

Step-by-step explanation:

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3 years ago
Read 2 more answers
Help plss and explain!!
Lesechka [4]

Answer:

m=40

Problem:

If 7x^2 - mx-12 is equal to (7x + n)(x-6), where m and n are constants, find the value of m.

Step-by-step explanation:

We want to find n amd m such that

(7x+n)(x-6)=7x^2-mx-12.

Since (ax+b)(cx+d)=acx^2+(ad+bc)x+bd, then we need or should have the following:

(7x)(x)=7x^2

(7×-6+n×1)x=-mx

(n)(-6)=-12

The bottom equation tells us n=2 since 2(-6)=-12.

The first equation is already true.

Now we must solve (7×-6+n×1)x=-mx with n=2 for m.

That is we need to solve 7×-6+2×1=-m

Simplify and done -m=-42+2=-40 so m=40.

Let's do a check

7x^2 - mx-12 is equal to (7x + n)(x-6)

7x^2-40x-12 is equal to (7x+2)(x-6)

(7x+2)(x-6)=7x(x)+7x(-6)+2(x)+2(-6)

(7x+2)(x-6)=7x^2-42x+2x-12

(7x+2)(x-6)=7x^2-40x-12 and that is what we wanted.

Another way:

We want (7x+n)(x-6)=7x^2-mx-12 to be true for all x.

So if x=0 or for x=1, we want the equation to be true.

Insert x=0. This gives (n)(-6)=-12 which implies n=2.

(7x+2)(x-6)=7x^2-mx-12

Insert x=1. This gives (7+2)(1-6)=7-m-12.

Simplify both sides: 9(-5)=-m-5

Continue to simplify left side: -45=-m-5

Add 5 on both sides: -40=-m

Multiply both sides by -1: 40=m

3 0
3 years ago
Dale and 2 friends share one fourth of a cake. Each piece is the same size. Dale believes each piece of cake has an angle measur
Kisachek [45]

Answer:

dale is not correct

the correct angle is 30 degrees

Step-by-step explanation:

A cake is shaped like a circle

the total sum of angles in a circle is 360 degrees

If Dale and 2 friends share one fourth of a cake, the total angles they share = (1/4) X 360 = 90 degrees

If the 3 friends share the cake equally, the angles each get = (1/3) x 90 = 30 degrees

the correct angle is 30 degrees and not 45 degrees. Thus, Dale is wrong

6 0
3 years ago
Read 2 more answers
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