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lesya [120]
3 years ago
5

Evaluate -3 - (-4) - (-2) + 1

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

4

Step-by-step explanation:

-3 - (-4) - (-2) + 1

-3 + 4+ 2 +1

1 +2+1

2 + 2

4

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The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se
Rina8888 [55]

Answer:

<h2>3 and -8</h2>

Step-by-step explanation:

x,\ y-the\ numbers\\\\\text{The sum of four times a number and five times another number is -28:}\\\\4x+5y=-28\\\\\text{The sum of nine times the first number and two times the second number is 11:}\\\\9x+2y=11\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}4x+5y=-28&\text{multiply both sides by2}\\9x+2y=11&\text{multiply both sides by (-5)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}8x+10y=-56\\-45x-10y=-55\end{array}\right}\qquad\text{add both sides of the equation}

.\qquad-37x=-111\qquad\text{divide both sides by (-37)}\\.\qquad\qquad\boxed{x=3}\\\\\text{Put the value of x to the first equation:}\\\\4(3)+5y=-28\\12+5y=-28\qquad\text{subtrac 12 from both sides}\\5y=-40\qquad\text{divide both sides by 5}\\\boxed{y=-8}

3 0
3 years ago
2, 8, 32, 128<br> what is the sequence?
vovikov84 [41]
You multiply each by four to get the next number.

2*4=8
8*4=32
32*4=128

The next one in sequence would be 512. Since 128*4=512
6 0
4 years ago
Read 2 more answers
In ΔOPQ, the measure of ∠Q=90°, PO = 17, QP = 8, and OQ = 15. What ratio represents the tangent of ∠P?
lesantik [10]

1.875

Step-by-step explanation:

Step 1 :

Given,

In ΔOPQ,

∠Q=90°,

PO = 17,  QP = 8 OQ = 15

Step 2:

We know that the hypotenuse will be the largest side of a triangle.

So in the given triangle PO = 17 is the hypotenuse.

With respect to angle P, OQ represents the opposite side of angle P  and PQ will be the adjacent side.

Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.

Step 3 :

So using the above we have,

tangent of angle P = opposite side /adjacent side = 15/8 = 1.875

8 0
3 years ago
Kisha bought a pair of shoes originally marked $48.35. The
anyanavicka [17]

Answer:

she saved $9.67

Step-by-step explanation:

$48.35÷ 0.20= $9.67

6 0
3 years ago
Which of the following equations represents a line that is paraellel to Y=5x-4 and passes through the point (3, 4)?
Ugo [173]

Answer:

D. y = 5x - 11.

Step-by-step explanation:

One equation of a straight line is y = mx + c where m = slope and c = the y-intercept..

Lines which are parallel  have the same slope.

So the equation  will be y = 5x + c so we have to find c.

As we are given a point on the line we now use the point slope form:

y - y1 = m(x - x1) where (x1, y1) is a point on the line:

The point is (3, 4) so we have:

y - 4 = 5(x - 3)

y - 4 = 5x - 15

y = 5x - 15 + 4

y = 5x - 11.

3 0
3 years ago
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