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3 years ago

Is the equation 5x = 7x always, sometimes, or never true? Explain.

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

If x = 0, 5x = 7x is true.

If x = 1, 5x ≠ 7x

5x = 7x is sometimes true.

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Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c

-Dominant- [34]

Answer:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

$Cookies + Hot\ Dogs = 5$ --- (1)

And the amount spent can be represented as:

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$ --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

$Cookies + Hot\ Dogs = 5$ implies $c + h = 5$

And

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

$0.75c + 1.10h = 4.55$

Hence, the equations are:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Solving for c and h

Make c the subject in $c + h = 5$

$c = 5 - h$

Substitute 5 - h for c in $0.75c + 1.10h = 4.55$

$0.75(5- h) + 1.10h = 4.55$

$3.75- 0.75h + 1.10h = 4.55$

$3.75 +0.35h = 4.55$

Collect Like Terms

$0.35h = 4.55 - 3.75$

$0.35h = 0.8$

Solve for h

$h = 0.8/0.35$

$h = 2.28571428571$

$h =2$ -- approximated

Recall that:

$c = 5 - h$

$c = 5 - 2$

$c =3$

5 0

3 years ago

The fourth grade students from last year lost 2345356 pencils. The fourth grade students from this year have already lost 34553

inysia [295]

Answer:

2379909 pencils. Hope this helps!

Step-by-step explanation:

7 0

3 years ago

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each

poizon [28]

Answer:

Step-by-step explanation:

Let the age of Juan be x

Let the age of Gabe be y

Let the age of catherine be z

The sum of their ages is 149, then;

x+y+z = 149

If Juan is three times as old as Gabe, then;

x = 3y .....2

If Gabe is six years older than Catherine, then;

y = z + 6

z = y-6 ....3

Substitute 2 and 3 into 1;

From 1; x+y+z = 149

3y+y+y-6 = 149

5y = 149+6

5y = 155

y = 31

Since x = 3y

x = 3*31

x = 93

If z = y-6

z = 31-6

z = 25

Hence Juan is 93 years old

Gabe is 31 years old

Catherine is 25 years old

3 0

3 years ago

Need help with all of these

bulgar [2K]

Here are the answers:

4 0

4 years ago

1. Horace buys 2 ¾ pounds of blueberries for a pie. He needs 48 ounces of blueberries for the pie. How many more pounds of blueb

MAXImum [283]

Answer:

$\frac{1}{4}$ pounds of blueberries he need to buy more.

Step-by-step explanation:

Given:

Horace buys 2 ¾ pounds of blueberries for a pie.

He needs 48 ounces of blueberries for the pie.

Now, to find pounds of blueberries he need to buy more.

Number of pounds Horace buys blueberries for the pie = 2 ¾ pounds.

He needs blueberries for the pie = 48 ounces.

Now, by using conversion factor convert ounces into pounds:

1 ounce = 0.0625 pounds.

48 ounces = 0.0625 × 48 pounds.

48 ounces = 3 pounds.

Horace needs blueberries for the pie = 3 pounds.

Now, to get the pounds of blueberries he need to buy more we subtract number of pounds Horace buys blueberries for the pie from Horace needs blueberries for the pie:

$3\ pounds-2\frac{3}{4} \ pounds$

$=3-\frac{11}{4}$

$=\frac{12-11}{4}$

$=\frac{1}{4} \ pounds.$

Therefore, $\frac{1}{4}$ pounds of blueberries he need to buy more.

5 0

3 years ago