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Natali [406]
3 years ago
10

A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the

original three-digit number.
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

<u>The original three-digit number is 417</u>

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Help me please by solving and showing the steps:)
Lorico [155]

Answer:

-\frac{3\sqrt[3]{t} }{2}

Step-by-step explanation:

1: Write g(t) as y, resulting in y=-\frac{8}{27}t^3

2: Interchange the variables y and t, resulting in t=-\frac{8}{27}y^3

3: Multiply both sides by 27, resulting in 27t=-8y^3

4: Divide both sides by -8, resulting in -\frac{27t}{8}=y^3

5: Find the cube root of both sides, resulting in \sqrt[3]{-\frac{27t}{8} }=y

6: Apply a radical rule, resulting in -\sqrt[3]{\frac{27t}{8} } =y

7: Apply another radical rule, resulting in -\frac{\sqrt[3]{27t} }{\sqrt[3]{8} } =y

8: Simplify the denominator, resulting in  -\frac{\sqrt[3]{27t} }{2} =y

9: Apply yet another radical rule, resulting in -\frac{\sqrt[3]{27}\sqrt[3]{t}   }{2} =y

10: Simplify \sqrt[3]{27}, resulting in -\frac{3\sqrt[3]{t}   }{2} =y

3 0
3 years ago
Anyone know how to do this?
sergiy2304 [10]

Answer:

11

Step-by-step explanation:

We need 60 dollars, we have 16

60-16 = 44

We need to earn 44 more dollars

At 4 dollars a pound

The money earned = lbs * dollars per pound

44 = lbs *4

Divide each side by 4

44/4 = lbs

11 = lbs

We must sell 11 more lbs

4 0
3 years ago
How can you tell when a pattern shows counting by tens ?
mestny [16]
They end in 0? i think

4 0
3 years ago
Read 2 more answers
Please help fast will give brainliest
PolarNik [594]
It’s going to be 19/3>37>6.08171>6.012
6 0
3 years ago
The function below is written in vertex form or intercept form. Rewrite them in standard form and show your work.
lora16 [44]

Answer:

The standard form as y=5x^2+30x+41

Step-by-step explanation:

Given: A function which is written in vertex form or intercept form.

We have to re-write it  in standard form that in terms of

Given y = 5(x+3)^2-4

Squaring  using (a+b)^2=a^2+b^2+2ab , we get,  

y=5(x^2+9+6x)-4

Multiply 5 inside , we get,

y=5x^2+45+30x-4

Solving further , we get,

y=5x^2+30x+41

Thus , we have obtained the standard form as y=5x^2+30x+41







8 0
3 years ago
Read 2 more answers
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