Joe goodnuff had been eating on a square card table until he bought a new rectangular dining table.the new table is 2ft longer and 1ft wider then the card table it has an area of 24.75ft.how long was a side of his old square card table?Please explain this to me don't just give me a answer!

Answers

Answer 1

Answer: 3.5+2=5.5 3.5+1=4.5 5.5×4.5= 24.75 The length of his square table was 3.5ft

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1234552°447°m/1 =m/2 =m/3=m/4=m/5=
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The sum of two numbers is 14. the larger number minus three times the lesser number -2. what is the lesser number?

Answers

Let's take the 2 numbers are a and b.
a + b =14

if a > b
a - 3b = -2

Subtract both numbers
4b = 16
b = 4

lesser number is 4.

Answer:

The lesser number is y=4

Step-by-step explanation:

Given : The sum of two numbers is 14. the larger number minus three times the lesser number -2.

To find : What is the lesser number?

Solution :

Let the two numbers be x and y,

The sum of two numbers is 14

i.e. $x+y=14$ ....(1)

Let x be the larger number and y be the smaller number.

So, the larger number minus three times the lesser number -2

i.e. $x-3y=-2$ ...(2)

Solving equation (1) and (2)

Substitute x from (1) into (2)

$x-3y=-2$

$(14-y)-3y=-2$

$-y-3y=-2-14$

$-4y=-16$

$y=4$

Put in equation (1)

$x+y=14$

$x+4=14$

$x=10$

Therefore, The lesser number is y=4 and larger number is x=10.

Ruth, Daisy, and Martin share £750 in the ratio of 3:5:7. Determine how much money Ruth receives.

Answers

Answer:

Ruth receives £150

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 + 7 = 15 parts

divide the total £750 by 15 to find the value of one part of the ratio

£750 ÷ 15 = £50 ← value of 1 part of the ratio

Then

3 parts = 3 × £50 = £150 ← amount Ruth receives

You are told that a bank investment can be modeled by a linear equation. The slope of the linear equation is positive and the value for b in the equation is 30,000. What can be said about the initial investment, and is the money increasing or decreasing, based on the information given?

Answers

If the investment can be modeled by a linear equation, the slope positive, and the value for the y-intercept is at 30,000, the equation of the line is
y = mx + 30,000
where m > 0

The initial investment is when x is 0 or the y-intercept. Therefore, the initial investment is $30,000

Since the slope of the line is positive, this means that the investment will increase through time.

What are the solutions to the equation 9x2 = 49, rounded to the nearest tenth?A.
2.3, –2.3

B.
5.4, –5.4

C.
7, –7

D.
21, –21

Answers

A.
2.3, –2.3

Working;
$9x^(2) =49$
$x^(2) = (49)/(9)$
x= $\sqrt{ (49)/(9) }$
x= +-2.3

I would go for A if anything

Convert 6.42 kilograms to grams.

0.00642 g
64.2 g
642 g
6,420 g

Answers

1 kilogram (kg) equals to 1000 grams (g). Since you have 6.42 kilograms, divide 6.42 kilograms to 1000 grams. Your final answer is 6420 grams in total.

Answer: 6420 grams

Step-by-step explanation:

Line is defined by the equation 2 x + y = 4. Which shows the graph of this line?

Answers

Using the equation 2x + y = 4, we get the following graph.

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