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3 years ago

Which situation could be solved using the equation -4+4=0

Mathematics

1 answer:

navik [9.2K]3 years ago

5 0

we are supposed to explain

Which situation could be solved using the equation $-4+4=0$

As we can see in the given equation , one number is -4 and the other number is 4

When we add two number of same value but opposite in sign we get zero.

This equivalent to the real life situation of paying a post paid bills.

Suppose you are using a post paid service , and the bills gets generated at the end of the month.

Suppose the bills amount is $x.

Once you pay that bills , then total outstanding again becomes $0.

Because $-x+x=0$

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A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many mor

kow [346]

Answer:

$\frac{19}{12}\ pounds$

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

3 0

3 years ago

Determine the area and perimeter of the triangle.simplify as much as possible

Digiron [165]

I think this is correct. If not lmk

3 0

3 years ago

The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the tr

Anvisha [2.4K]

Answer:

Shorter leg=3

Longer leg=4

Step-by-step explanation:

Equations

In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:

$a^2=b^2+c^2$

Let's call

x=the shorter leg of the triangle

The longer leg is 1 cm longer than the shorter leg, thus:

x+1=the longer leg.

Since the hypotenuse is 5 cm long:

$5^2=x^2+(x+1)^2$

Operating:

$25=x^2+x^2+2x+1$

Swapping sides and simplifying:

$2x^2+2x+1=25$

Subtracting 25:

$2x^2+2x-24=0$

Dividing by 2:

$x^2+x-12=0$

Factoring:

$(x-3)(x-4)=0$

We have two possible solutions:

x=3, x=4

The longer leg is x+1.

If x=3, x+1=4

If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.

Thus, the solution is:

Shorter leg=3

Longer leg=4

5 0

3 years ago

PLEASE HELP WITH THIS

Mariulka [41]

Answer:

it's the last one, 4 to the power of 5 = 1,024

Step-by-step explanation:

hope this helps!

3 0

2 years ago

Which of these is a binomial? O A. 2x3 - 713 O B. 5xy O c. x+2y2-7 O D. ab

V125BC [204]

Answer:

Step-by-step explanation:

2x^3 - 713 is a binomial . It's a polynomial with 2 terms.

4 0

3 years ago