MATHEMATICS HIGH SCHOOL

The value of a two-digit number exceeds twice the sum of its digits by 19. The tens digit is two less than the units digit. Find the number.

Answers

Answer 1
Answer:

Answer with Step-by-step explanation:

Let the ones digit of the number be y

and tens digit of the number be x.

The tens digit is two less than the units digit.

i.e. x=y-2

The value of the number exceeds twice the sum of its digits by 19.

i.e. 10x+y=2(x+y)+19

10(y-2)+y=2(y-2+y)+19

10y-20+y=2(2y-2)+19

11y-20=4y-4+19

11y-4y=20-4+19

7y=35

dividing both sides by 7, we get

y=5

Putting value of y in x=y-2, we get

x=3

10x+y=10×3+5

         =35

Hence, the two digit number is:

35

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13.A student wishes to determine the percentage of students in his school that bring a sack lunch. He decides to poll every student in his grade level. It is found that 30 percent on the students polled bring a sack lunch. The student concludes that 30 percent of the students in the school bring a sack lunch. Identify the abuse of statistics. bad sample small sample nonresponse loaded question
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Amy ran 3/4 mile write the distance amy ran as a decimal

Answers

we just need to perform the indicated division:
3/4 = 0.75
that is the solution as decimal, they are equivalent
Solutions 

To convert fraction to decimal divide the numerator by denominator. 

3 ÷ 4 = 0.75 

0.75 is decimal 

The temperature dropped by −2.5 Celsius degrees for 5 consecutive days. What was the total decrease in temperature over the 5-day period, expressed as a signed number? 

Answers

If the temperature dropped by -2.5 for 5 days, then multiply -2.5 and 5 to get the total decrease. 
(-2.5)(5) = -12.5
Over the 5-day period, the temperature dropped by -12.5 degrees Celsius. 
Hope that helps!!
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What is the smallest number that can be subtracted from 376234 to make it divisible by 11​

Answers

Answer:

Odd:: 8+7+9=24

Even:: 2+8=10

So difference of odd and even is 24-10=14

Reducing 3 from this will make the difference (14–3) divisible by 11.

So the number to be subtracted is 3

And the number is 82786.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.

Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person. 1lb = 450 g

How much would a turkey cost for 14 people?

Turkey sizes -
Small: 2kg - 3.9kg
Medium: 4kg - 5.4kg
Large: 5.5kg - 7.2kg
Extra Large: 7.3kg - 9.2kg

Turkey prices -
Small/Medium: £5.99 per Kg
Large/Extra large: £4.99 per Kg

Answers

I did (450*3/4=337.5) to get how much each person would eat, then I did (337.5*14=4725g) to see how big the turkey should be. I then converted grams to kilos (4725*0.001=4.725 kg), and I got how big the turkey would be. It turns out the appropriate size of the turkey would be medium, so then what I did was that I looked for the medium price of the turkey per kg, and found that it was £5.99 per kg. I did (4.725*5.99) and I got about £28.30.It would cost £28.30 for 14 people.

These problem can be solved using conversion fractions. A conversion fraction is a unitary fraction that we use to convert units; the idea is multiply the unit we want to convert by a fraction with the same unit as denominator and the target unit as numerator.

First, we are going to find how many grams are (3)/(4) lb. Since we know that 1lb = 450g, we just need to multiply (3)/(4)lb by the conversion fraction (450g)/(1lb):

Grams per person = ((3)/(4)lb)((450g)/(1lb) )=(0.75lb)((450g)/(1lb) )=337.5g

Next, we are going to find the total amount of grams Adam will need. Since there are 14 persons, we just need to multiply the grams per person by 14:

Total grams = 14(337.5g)=4725g

Since the cost of the turkey is expressed in kilograms, we need to convert the total grams to kilograms. We know that 1 kg = 1000 g, so we need to multiply the total grams by the conversion factor (1kg)/(1000g):

Total kg = (4725g)((1kg)/(1000g) )=4.725kg

Now we know know that Adam will need to buy 4.725 kg of medium size turkey, so the only thing left is multiply the price of the medium size turkey by the total kg:

Total cost = (4.725kg)((5.99)/(kg) )=28.30

We can conclude that a turkey for 14 people will cost£28.30.

What is the value of x in the solution to the following system of equations?x − 2y = 2
3x + y = 6

Answers

  x -2y = 2
3x +y = 6  multiplie both sides by 2 => 6x +2y = 12

  x -2y = 2
6x +2y = 12
------------------- assum the same terms 
7x  0  = 14

x = 14/7 

x = 2

Simplify. (8a^3 - 3b^2) - (a^3 + b^2)

Answers

you have to subtract the exponents.
So for the a's you have to do 3-3 and get 0. 
8a
For the b's you have to do 2-2
3b
The final answer is 8A-3B
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