Write the word sentence as an inequality. Then solve the inequality. Eight times a number $n$ is less than 72

Answer: x = -1, -7

Step-by-step explanation:

I used internet

Answer:

x = -1   or   x = -7

Step-by-step explanation:

x^2 + 8x + 7 = 0

x^2 + 8x + ____ = -7 + ____

To complete the square, we add the square of half of the x-term coefficient to both sides.

x-term coefficient: 8

half of it: 4

square it: 4^2 = 16

We add 16 to both sides.

x^2 + 8x + 16 = -7 + 16

(x + 4)^2 = 9

x + 4 = +/- sqrt(9)

x + 4 = 3   or   x + 4 = -3

x = -1   or   x = -7

Answer:

10x^2 - 13x - 3

Step-by-step explanation:

(5x + 1)(2x - 3) = 10x^2 - 15x + 2x - 3 = 10x^2 - 13x - 3

Answer:

18,225

Step-by-step explanation:

L1=25

L2=75

L3=225

the pattern is (25)* 3^(n-1)

L1=3^0*25 = 25

L2=3^1*25 = 3* 25 = 75

L3=3^2*25 = 9* 25 = 225

.

.

L7=3^6*25 = 729* 25 = 18,225

Answer:

4/12

Step-by-step explanation:

add up all the marbles, and take how many blue marbels there are and put both numbers in fraction form

Answer:

Ummmm its just a black screen

Step-by-step explanation:

Answer:

Step-by-step explanation:

6400(1+i)³=8334

(1+i)³=1.3021875

∛(1+i)³=∛(1.3021875)

1+i= 1.092

i= .092

I guess if you were to round to 1 decimal point it'd be .1

Answer:

it will take 18 min

Step-by-step explanation:

1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18

Answer:

Multiply x by 4 and make x negative if it's positive or make x positive if it's negative.

Step-by-step explanation:

Multiplying x by a number greater than 1 will stretch the parabola.

Changing x from positive to negative and vice versa reflects the parabola over the x-axis.

Answer:

RO = 17.9

Step-by-step explanation:

If they're similar, the fraction between their sides need to be equal, so do this:

NK/NM = RO/RQ

71.6/64 = RO/16

71.6•16/64 = RO

RO = 17.9

Answer: 28 hours

Step-by-step explanation:

1. Write original equation: 7.15x=3.40x+105

2. Combine like terms to isolate x: 3.75x=105

3. Divide both sides by same amount to find x: x=28

They would have to work 28 hours to earn the same amount of money.

Answer:

4/3 ÷ 2/5

= 4/3 × 5/2

= 4×5/3×2

= 20/6

= 10/3 = 3  1/3 or 3.3333

Answer:

12

Step-by-step explanation:

f(14)= f (3 + 11)

= f(3) = 12

Therefore the value of f(14) is 12.

Answer:

1st one is 9

2nd one is 6

3rd one is 2

Step-by-step explanation:

Answer:

[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]

A = 500(1 + .028/1)^ (3*1)

$543.19

Step-by-step explanation:

Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

Answer:

[tex]\frac{125}{147}[/tex]

Step-by-step explanation:

10% ÷ 24% ÷ 49%

1/10 ÷ 6/25 ÷ 49/100

5/12 ÷ 49/100

[tex]\frac{125}{147}[/tex]

Answer:

[tex](180-73)=z+114/2[/tex]

[tex]107*2=z+114[/tex]

[tex]z=214-114[/tex]

[tex]z=100[/tex]

❄ B. 100

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hope it helps...

have a great day!!

In the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.

Circle is a shape consisting fall points in a plane thata are at a given distance from a given distance from a given point which is the centre of the circle.

In the circle we can see the following:

(180-73)=(z+114)/2

107*2=z+114

214=z+114

z=214-114

=100

Hence in the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.

Learn more about angles at https://brainly.com/question/25716982

#SPJ2

Answer:

1.78 hours

Step-by-step explanation:

If t varies inversely with the speed, the formula for that is  t= \frac{k}{r} .  If t = 2 and r = 40, then we can solve for k, the constant of variation.  Multiply both sides by 40 to get  k = 80.  Now we need to find the value for t when r = 45.  Using the k value we just solved for, we will fill in the equation as  t= \frac{80}{45}   for a t value of about 1.78 hours

Answer:

3.519

Step-by-step explanation:

2.07 x 1.7 =  3.519

Answer: 1600g

Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg

8/5kg = 1.6kg

1.6kg * (1000g / 1kg) = 1600g

Answer:

1 3/5kg.

Step-by-step explanation:

So, to figure this out, lets go over what we know.

There is 2kg.

We need to find 4/5 of this.

A way you can think of this is 2kg*4/5. Or:

2*4/5

Remember, all whole numbers have a denominator of 1. So this is:

2/1*4/5

Or

[tex]\frac{2}{1} *\frac{4}{5}[/tex]

When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.

So in the numerator, it will be 2 times 4:

2*4=8

And in the denominator, it will be 1 times 5:

1*5=5

So the answer is:

8/5

Hope this helps!

Answer:

4

Step-by-step explanation:

f(-8)=-2(-8)-12

f(-8)=16-12

=4

Answer:

(x + 6)² + (y + 8)² = 100

Step-by-step explanation:

The standard equation for a circle is (x - a)² + (y - b)² = r²

If you find the r² of this circle, you will get 100, and there's just one equation with 100

Answer:

i^85 = i

A way you can solve this is divide 85 by4

The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.

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Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

Answer:20.75

Step-by-step explanation:

Trust me gangsta

Answer:

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

i think it will be chose 3 times

Step-by-step explanation:

im not sure thats my pridiction

Answer:

0.4

Step-by-step explanation: