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4 years ago

Without finding the exact sum tell weather 5/8 plus 5/9 is less than 1 greater than 1 or equal to 1

Mathematics

2 answers:

mixer [17]4 years ago

5 0

It is greater than 1 as it equals 1.180

Goshia [24]4 years ago

5 0

Simply work out the values of each fraction relative to 1/2 - both are clearly greater. As 1/2 + 1/2 = 1, >1/2 + >1/2 must be greater than 1.

You might be interested in

Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2

Mrrafil [7]

Given:

$a_1=-4$ and $a_n=a_{n-1}+9$ where $n\geq 2$ .

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

$a_n=a_{n-1}+d$

Where, d is the common difference.

We have,

$a_n=a_{n-1}+9$

Here, d=9.

The first term of the AP is $a_1=-4$ .

The explicit formula for an AP is:

$a_n=a_1+(n-1)d$

Substituting $a_1=-4$ and $d=9$ , we get

$a_n=-4+(n-1)9$

$a_n=-4+9n-9$

$a_n=-13+9n$

Therefore, the required explicit formula for the given sequence is $a_n=-13+9n$ .

6 0

3 years ago

Explain why the equation 5(2x+1)-2=6x+5 has only one solution. Then find the solution.

netineya [11]

Answer:

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Solution:

x = 1/2

y = 8

(1/2 , 8)

Step-by-step explanation:

Start by expanding with the distributive property, then simplify by collecting like terms.

5(2x + 1) - 2 = 6x + 5 Multiply "5" with each term in the brackets.

10x + 5 - 2 = 6x + 5 Collect left side's like terms (5 - 2 = 3)

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. A solution is the same as the POI (point of intersection). Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Some linear systems might have no solutions (when the lines are parallel) or infinite solutions (when the lines are equivalent, the same).

To find the solution, continue with the equation and isolate "x". This will give you the x-coordinate of the point of intersection.

To isolate 'x', move everything to the other side of 'x'. To move something, you do its reverse operation to both sides in reverse BEDMAS order.

10x + 3 = 6x + 5

10x - 6x + 3 = 6x - 6x + 5 Subtract 6x from both sides

4x + 3 = 5 "6x" cancelled out on the right. Simplified left (10x-6x=4x)

4x + 3 - 3 = 5 - 3 Subtract 3 on both sides. "3" on the left will cancel out

4x = 2 The right side was simplified (5 - 3 = 2).

4x/4 = 2/4 Divide both sides by 4 to isolate 'x'. Simplify right side.

x = 1/2 Solution's x-coordinate

Substitute what you found for 'x' into any equation that has 'y' (either y=10x+3 or y=6x+5). I will choose the first equation.

y = 10x + 3

y = 10(1/2) + 3 Multiply 1/2 and 10

y = 5 + 3 Add

y = 8 Solution's y-coordinate

Therefore the solution is when x=1/2 and y=8, or as an ordered pair, (1/2 , 8).

8 0

3 years ago

What is the perimeter

lianna [129]

Answer:

3(3+ $\sqrt{6\\}$ )

Step-by-step explanation:

Find the side lengths

6, 3, and 3 $\sqrt{6\\}$

Add them

3(3+ $\sqrt{6\\}$ )

3 0

3 years ago

A boat travels 9 km upstream and 9 km back. The time for the round trip is 5 hours. The speed of the stream is 2km/hr. What is t

Sauron [17]

The speed of the boat is 4.28 km/h i think

6 0

3 years ago

McKenzie gets a base pay of 1,800 per month.She also earns 12% commission on the amount of car sales.If she sells 45,000 worth o

aliya0001 [1]

9514 1404 393

Answer:

7,200

Step-by-step explanation:

McKenzie's commission for the month is ...

0.12 × 45,000 = 5,400

When that is added to McKenzie's base pay, she makes a total of ...

5,400 +1,800 = 7,200

McKenzie makes 7,200 in a month when she sells 45,000 worth of cars.

8 0

3 years ago