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3 years ago

Find two consecutive negative integers whose sum is -27

Mathematics

2 answers:

ycow [4]3 years ago

6 0

-13 and -14

Since -27 is odd, divide it by 2 and ignore the remainder. You'll get -13. So, -27=-13+-14

Elan Coil [88]3 years ago

6 0

Answer:

Step-by-step explanation:

x = first integer

x + 1 = second integer

x + x + 1 = -27

2x + 1 = -27

2x = -27 - 1

2x = -28

x = -28/2

x = -14

x + 1 = -14 + 1 = -13

so ur 2 numbers are : -13 and -14

You might be interested in

M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°

Fudgin [204]

Answer:

Option C:

m∠a = 38°
m∠b = 52°

m∠c = 90°

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

<h3>Solve for x</h3>

∠a + ∠b + ∠c = 180°
(48 - x)° + (9x - 38)° + 90° = 180°
10° + 8x + 90° = 180°
8x = 180° - 90° - 10°
8x = 80°
x = 10°

Now that we solved for x, we can plug it back into each equation to solve for each angle.

<h3>Angle A</h3>

48° - x
48° - 10°
38°

<h3>Angle B</h3>

9x - 38°
9(10°) - 38°
90° - 38°
52°

<h3>Angle C</h3>

90°

The answer is Option C:

m∠a = 38°
m∠b = 52°

m∠c = 90°

4 0

2 years ago

84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

4 0

3 years ago

Cual es el denominador de 7/8

mash [69]

Answer:

8 u ocho

¡Espero que ayude!

Step-by-step explanation:

6 0

3 years ago

What property does the statement show? (4x8)x3=(8x4)x3

Mariana [72]

1. commutative property states that : a + b = b + a

2. 3x - 5 = 5x - 17 -- add 5 to both sides 
3x = 5x - 17 + 5 -- subtract 5x from both sides 
3x - 5x = -17 + 5 -- combine like terms 
-2x = -12 -- divide both sides by -2 
x = 6 

3. slope formula : slope = (y2 - y1) / (x2 - x1) 
(3,-1) x1 = 3 and y1 = -1 
(-2,-5) x2 = -2 and y2 = -5 
now we sub 
slope = ((-5 - (-1)) / (-2 -3) 
slope = (-5 + 1) / -5 
slope = -4/-5 
slope = 4/5 

4. x = first integer 
x + 2 = 2nd integer 
x + x + 2 = 80 -- combine like terms 
2x + 2 = 80 -- subtract 2 from both sides 
2x = 80 - 2 
2x = 78 -- divide both sides by 2 
x = 39 <== this is the smallest number 
x + 2 = 41 

5. p = 1/2g - 3 

6. The union of two sets is all the numbers in both sets, no need to copy the same number more then once. Answer is : (1,2,3,4,5,6,8,10) 

7. 2x + 3y <= 6 -- put in y = mx + b form 
3y <= -2x + 6 
y <= -2/3x + 2 
In y = mx + b form, the y intercept is in the b position. So the y intercept is (0,2) 
To find the x intercept, sub in 0 for y (change inequality sign to equal sign) 
2x + 3y = 6 
2x + 3(0) = 6 
2x = 6 
x = 3 
x intercept is (3,0) 
So plot your points (3,0) and (0,2) 
Connect the points with a solid line because there is an equal sign in there. 
Shade below the line because it is less then. 

8. 3x + 6y = 8 
6y = -3x + 8 
y = -1/2x + 4/3 

y = 2x - 8 

Perpendicular lines have negative reciprocal slope. All that means is " flip " the slope and change the sign. The slope in these equations are -1/2 and 2. These are negative reciprocals of each other. 

9. 7x + 3y - 2 + 6x + 1 + y^2 
y^2 + 3y + 13x - 1 

10. (0,6) x1 = 0 and y1 = 6 
(3,0) x2 = 3 and y2 = 0 
slope(m) = (y2 - y1) / (x2 - x1) 
slope(m) = (0 - 6) / (3 - 0) 
slope(m) = -6/3 
slope(m) = -2 

y = mx + b 
(0,6) x = 0 and y = 6 
6 = 0(-2) + b 
6 = b 

your equation is : y = -2x + 6 (slope intercept form) 
2x + y = 6 (standard form) 

11. x + y = 5 -- put this in y = mx + b form, and the m position is your slope 
y = -x + 5 (-x is the same as -1x) so your slope is -1 

12. 4y = 8x - 3 -- put in y = mx + b form, and the b stands for the y intercept 
y = 8/4x - 3/4 
y = 2x - 3/4 (the y intercept is -3/4 

13. |a| + b --- (a = -1.4 and b = -2.7) 
absolute values, whether they have a negative or not, they are always positive 
|a| + b 
|-1.4 | + (-2.7) 
1.4 - 2.7 = -1.3 <== your answer 

14. I cannot see the problem 

15. -4 < 2t <= 2 --- divide everything by 2 
-2 < t <= 1 
open circle on -2, closed circle on 1, shading in between 

16. x + 2y = -9 ---> x = -2y - 9 
now sub -2y - 9 in for x in the other equation 
4x - 2y = 14 
4(-2y - 9) - 2y = 14 -- distribute through the parenthesis 
-8y - 36 - 2y = 14 -- add 36 to both sides 
-8y - 2y = 14 + 36 combine like terms 
-10y = 50 -- divide by -10 
y = -5 
now sub -5 in for y in either of the original equations 
x + 2y = -9 
x + 2(-5) = -9 
x - 10 = -9 
x = -9 + 10 
x = 1 
answer : x = 1 and y = -5 or (1,-5) 

I was really bored so I thought I would just help out :)

3 0

3 years ago

Read 2 more answers

The table below shows the number of marbles of different colors in a box. A fair coin is shown below the table.

andrezito [222]

First we need to find the probability of selecting the 1 blue marble out of the 20 marbles total, which is 1/20.

Next, we need to find the probability of tossing the fair coin so it lands tails up, which is 1/2.

To find the probability of both events happening, we need to multiply the probabilities of the two individual events:
1/20 * 1/2 = 1/40

So the answer is 1/40, or 2.5%

Sorry about the poor formatting :( I'm on my phone at the moment, which makes it difficult.

Hope I helped, and let me know if you have any questions :D

8 0

3 years ago

Read 2 more answers