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2 years ago

Convert the units of measure

Mathematics

1 answer:

Serjik [45]2 years ago

6 0

Answer:

Step-by-step explanation:

24 hr in a day

540 : 24 = 22.5 or 22 1/2

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Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?

Andrej [43]

I am going to build a chart this is best when using ratios

  seniors junior total
7 4
*? *? *?
Totals 121

The way we fill out this chart is that we add the rows and multiply the columns.

So we add 7 + 4 and fill it in our chart we get 11

  seniors junior total
7 4 11
*? *? *?
Totals 121

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this
seniors junior total
7 4 11
11 11 11
Totals 121

Now we multiply each column

so
7 * 11 = 77
4*11 = 44

now our chart look like this

seniors junior total
7 4 11
11 11 11
Totals 77 44 121

so seniors get 77 spaces
and juniors get 44 spaces.

6 0

2 years ago

Solve equation show all steps what 2x-3x+5=18

PSYCHO15rus [73]

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Hi my lil bunny!

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Let's solve your equation step-by-step.

$2x-3x+5=18$

Step 1: Simplify both sides of the equation.

$2x-3x+5=18\\2x + -3x + 5 = 18$

$( 2x + -3x ) + ( 5) = 18$ (Combine Like Terms)

$-x + 5 = 18\\-x + 5 = 18$

Step 2: Subtract 5 from both sides.

$-x + 5 - 5 = 18 - 5 \\-x = 13$

Step 3: Divide both sides by -1.

$\frac{-x}{-1} = \frac{13}{-1} \\x = -13$

Answer : $\boxed {x = -13}$

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Have a great day/night!

❀*May*❀

3 0

2 years ago

Read 2 more answers

Solve |p + 2| = 10Solve |p + 2| = 10 {-12} {-8, 8} {-12, 8}

valentinak56 [21]

By definition, we have

$|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}$

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$

In this case, the absolute value doesn't do anything: the equation is

$p+2 = 10 \iff p = 10-2 = 8$

We are supposing $p \geq -2$ , so we can accept this solution.

Now, suppose that $p+2 < 0 \iff p < -2$ . Now the sign of the expression is flipped by the absolute value, and the equation becomes

$-p-2 = 10 \iff -p = 12 \iff p = -12$

Again, the solution is coherent with the assumption, so we can accept this value as well.

3 0

2 years ago

Branilest and 30 point please answer

Lynna [10]

Answer:

Addition Property of Equality

Step-by-step explanation:

System of Equations

When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.

One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:

$5x+4y=-2\\2x-4y=6$

If we add both equations, we have

$5x+4y+2x-4y=-2+6$

Simplifying

$7x=4$

By adding both equations we managed to eliminate the variable y and could easily find the value of x

$x=4/7$

Answer: Addition Property of Equality

7 0

3 years ago

30 points plz help me lo links

katen-ka-za [31]

Answer:

(-1/3, 3/4)

Step-by-step explanation:

9x + 8y = 3

6x - 12y = -11

Let's solve the system by eliminating x. We need the coefficients of x to be additive inverses, so they will add to zero eliminating x. The LCM of 9 and 6 is 18. Let's multiply both sides of the first by 2 and both sides of the second equation by -3.

18x + 16y = 6

-18x + 36y = 33

The coefficients of x are 18 and -18, which add to zero. Now we add these two equations.

52y = 39

y = 39/52

y = 3/4

Now we substitute y with 3/4 in the first equation and solve for x.

9x + 8y = 3

9x + 8(3/4) = 3

9x + 6 = 3

9x = -3

x = -3/9

x = -1/3

Solution: (-1/3, 3/4)

4 0

2 years ago