A. Solve the following linear inequalities.
1. x + 7 <1
2. x + 3.2 < 6.4
3. 3x < 12
4. x/2.5 >5
5. 4a 23.6
6. 1.6 b< 8
7. Z + 4.2 < 2.1​

Answer:

12

Step-by-step explanation:

Think of this as a normal calculation at first.

Just focusing on the numbers themselves (not the roots) let's do the calculation.

8 × 18 = 144

Let's put the square roots back into play.

√144

And we know what the square root of 144 is (12).

Answer:

He will earn £186.89 interest

Step-by-step explanation:

final = original x multiplier^n

final = 2000 x 1.015^6

final = 2186.886528

Interest = final - original

Interest = 186.8865

Answer:

?? what are the answer choices?

Step-by-step explanation:

[tex]ans = \boxed{ 0.6}[/tex]

[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]

Answer:

5%

Step-by-step explanation:

820 - 779 = 41. 41/820 = 0.05. 0.05 = 5%

Answer:

864 in²

Step-by-step explanation:

Use the pythagorean theorem to find the missing side.

36²+x²=60² (x is the missing length of the side)

1296 + x² = 3600

x² = 2304

x = 48

Then use the area of a triangle formula: base·height/2

Substituting 36 for the height and 48 for the base, we get:

48·36/2, which is 864.

This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.

Britt needs to work 50 hours each month to accomplish her goal.

She wants to make $4,000 and she makes $8 per hour.

This means, amount of hours she need to make $4,000 is;

4000/8 = 500 hours

Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.

In conclusion, britt needs to work 50 hours each month to accomplish her goal.

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Answer:

p > 12, p = 12

Step-by-step explanation:

She said she scored more than 12. It could be equal too.

Answer:

I am late on this but it could help some other people!

Step-by-step explanation:

Option A because it shows that the value of his score is greater than 12.

The unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The range of a given set of data is defined as the difference between the largest value and the smallest value.

Given that the mean of two numbers is 7 and the range of these two numbers is 8.

Let the pair of number be 11 and 3

11 + 3 = 14

14 / 2 = 7

Mean = 7

Also, the difference between the numbers are;

11 - 3 = 8

Range = 8

Therefore, the unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

Learn more about mean;

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Answer:

A = 720g

Bi = 480g

Bii = 2

Answer:

3,o217383737283636666666666678899

Answer:

5

Step-by-step explanation:

is logical .... ...........

Answer: 37/3 is the answer

Step-by-step explanation:

Answer:

5 is the answer

Step-by-step explanation:

Answer:

The solution to the system of equations be:

x = 0.5,  y = -0.5

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]

Multiply 2x+4y=1 by 3:      6x+12y=3

Multiply 3x-5y=7 by 2:      6x-10y=14

[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]

subtracting the equations

[tex]6x-10y=14[/tex]

[tex]-[/tex]

[tex]\underline{6x+12y=3}[/tex]

[tex]-22y=11[/tex]

solve -22y for y

[tex]-22y=11[/tex]

Divide both sides by -22

[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]

Simplify

[tex]y=-\frac{1}{2}[/tex]

[tex]y = -0.5[/tex]

For 6x+12y=3 plug in y = -1/2

[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]

[tex]6x-12\cdot \frac{1}{2}=3[/tex]

[tex]6x-6=3[/tex]

Add 6 to both sides

[tex]6x-6+6=3+6[/tex]

[tex]\frac{6x}{6}=\frac{9}{6}[/tex]

Simplification

[tex]x=\frac{3}{2}[/tex]

[tex]x = 1.5[/tex]

Therefore, the solution to the system of equations be:

x = 0.5,  y = -0.5

Answer:

Step-by-step explanation:

Answer:

i think it's 11x-1

Step-by-step explanation:

2(1-3x)-(5x+1)

2-6x-5x-1

2-11x-1

11x-1

Answer:

(0,7)

Step-by-step explanation:

This equation is already in slope-intercept form, (y=mx+b), where m is the slope, and b is the y-intercept.

From the equation, we see that (0,7) is the y-intercept.

Let me know if this helps!

Answer:

      5 + a

A:  ---------

       a - 1

Step-by-step explanation:

          3+x                                       3 + a + 2

f(x) = ---------- becomes  f(a + 2) = ------------------

          x-3                                          a + 2 - 3

                                                                                                      5 + a

when a + 2 is substituted for x.  This last result simplifies to ------------

                                                                                                        a - 1  

which matches Answer A.

Answer:

false

Step-by-step explanation:

answers is 50.27

Answer:

All but the one on the bottom left

Answer:

Step-by-step explanation:

Answer:

some

some

some

some

no

Step-by-step explanation:

Answer:

1) no triangles

2)some triangles

3)no triangles

4)no triangles

5)all triangles

Step-by-step explanation:

i think that is right not sure tho

Answer:

QR ≈ 5.0

Step-by-step explanation:

Using the sine ratio in the right triangle

sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )

6 × sin56° = QR , then

QR ≈ 5.0 ( to the nearest tenth )

Answer:

B

Step-by-step explanation:

Since the graph shows a straight line and not a curved graph, this is a linear equation.

And since the line is sloping downwards, it is decreasing.

Our final answer is linear decreasing.

The category of the function of the graph in the figure is a (b) Linear decreasing graph

Any graph that is represented by a straight line is a linear graph

The above statement means that the graph is a linear graph because it is represented by a straight line.

The orientation of the line also means that:

As x increases, the value of y decreases

Hence, the category of the graph is a (b) Linear decreasing graph

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Answer:

5% change

Step-by-step explanation:

Answer:

33 was the change and it incressed

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

You must have x alone

Answer:

5

Step-by-step explanation:

everyone else is smarter than me

Answer:

15

Step-by-step explanation:

5+4=9

27÷9=3

girl's ratio is 5 so

5×3=15

answer is 15

Step-by-step explanation:

3/4x+5=-19

       -5   -5

3/4x=-24

/ 3/4 / 3/4

x=-32

hope it helps! :3 let me know if you need help with other algebraic equations!