From the set {1, 2, 3, 4, 5}, find the lowest value of x that makes each inequality true. Arrange the inequalities in increasing order of the lowest value of x from the set that makes them true. 5x − 3x > 9 2x − 1 > 0 x + (x − 1) > 5

Answer:

Step-by-step explanation:

a) P = N 150000

R = 5%

T = 5 years

Plug in the values P,R & T in the  formula

I = PRT

[tex]I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\[/tex]

I = N 30000

b) I = N 16100

R = 7%

T = 5 years

[tex]PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}[/tex]

P= N 46000

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}[/tex]

Step-by-step explanation:

a. Given,

Principal ( P ) = N 150000

Rate ( R ) = 5 %

Time ( T ) = 4 years

Interest ( I ) = ?

Finding the Interest ( I )

[tex] \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}[/tex]

⇒[tex] \sf{interest = \frac{150000 \times 4 \times 5}{100} }[/tex]

⇒[tex] \sf{interest = \frac{3000000}{100}} [/tex]

⇒[tex] \sf{interest = N \: 30000}[/tex]

Interest = N 30000

------------------------------------------------------------

b. Given,

Interest ( I ) = N 16100

Time ( T ) = 5 years

Rate ( R ) = 7 %

Principal ( P ) = ?

Finding the principal

[tex] \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} [/tex]

⇒[tex] \sf{ \frac{16100 \times 100}{5 \times 7} }[/tex]

⇒[tex] \sf{ \frac{1610000}{35} }[/tex]

⇒N [tex] \sf{46000}[/tex]

Principal = N 46000

Hope I helped!

Best regards!!

Answer:

3.6 in³

Step-by-step explanation:

If each cube is 1/5 inch:

15 cubes along the length = 15÷5 = 3 inches

5 cubes along the height = 5÷5 = 1 inch

6 cubes along the width = 6÷5 = 1.2 inches  (1 and 1/5)

V=lwh=3*1*1.2= 3.6 in³

Answer:

8:20

divide by 2

B. 4:10

multiply by 3

C. 24: 60

divide by 4

D. 2:5

Answer:

The first step is to subtract 9 from each side

Step-by-step explanation:

2x+9=21

The first step is to subtract 9 from each side

2x+9-9 = 21-9

2x = 12

Then divide by 2 on each side

2x/2 = 12/2

x = 6

Answer:

That would be to collect like terms

Step-by-step explanation:

Further explanation

[tex]2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6[/tex]

Answer:

Step-by-step explanation:

(-8 + (-3))/2= -11/2 = -5.5

(-9+(-1))/2= -10/2 = -5

(-5.5, -5): midpoint

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

Answer:

$144

Step-by-step explanation:

15*4=60

60*6=360

360*0.6=216

360-216=144

Answer:

0

Step-by-step explanation:

[tex]\sin(12\º) - \cos(78\º)[/tex]

Consider the cofunction identity:

[tex]$\boxed{\sin(\theta)=\cos \left(\frac{\pi}{2} - \theta \right)} $[/tex]

[tex]$\boxed{\sin(\theta)=\cos \left(90\º - \theta \right)} $[/tex]

[tex]\sin(12\º)=\cos(90\º - 12\º)=\cos(78\º)[/tex]

[tex]\therefore \cos(78\º) - \cos(78\º) = 0[/tex]

The value of Sin 12-cos 78 is 0

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: sin 12 - cos 78​ = Sin(90-12)-cos78 but we know sine of any angle = the cosine of any complementary angle

Thus we have Sin78-Cos78=0

Hence, The value of Sin 12-cos 78 is 0

Learn more about trigonometric functions here:

https://brainly.com/question/6904750

#SPJ2

Answer:

Step-by-step explanation:

This problem seeks to tests our understanding of measurements and units

Kathy cannot compare the two measurements because the two units of measurement are not the same.

Now centimetres  is 10 times bigger than millimetres.

What Kathy can actually do is to convert from one unit to another, that is from centimetres to millimetres.

Since the units are not similar Kathy cannot compare them but she can convert from one to the other

Answer:

[tex]9x^{2}[/tex]-48x+64

Step-by-step explanation:

First, start off with what the area would look like with the equation plugged in.

[tex](3x-8)x^{2}[/tex]=area -----> (3x-8)(3x-8)

Second, multiply out the numbers in the ()s.

(3x-8)(3x-8) ---> (3x)(3x) = [tex]9x^{2}[/tex] --->(3x)(-8)=-24x----->(-8)(3x)=-24x------>(-8)(-8) = 64

Finally, you combine like terms and you have your answer.

[tex]9x^{2}[/tex]-24x-24x+64 -----> [tex]9x^{2}[/tex]-48x+64

Hoped this helped!

Answer:

R = P+C

Step-by-step explanation:

P = R-C

+C    +C

R = P+C

Step 1:

First, let's order the number from least to greatest.

A. -0.31

B. -0.33

C. -0.38

D. -0.29

We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.

C. -0.38

B. -0.33

A. -0.31

D. -0.29

Step 2:

Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.

Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29

Our answer: Line A

Answer:

B: -0.3

Step-by-step explanation:

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

849381 - 9 = 849372

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

x is the song. she has to pay 99 cents per song.

Answer:

11) -11

12) -12

13) 7

14) -60

15) -56

16) -378

17) -126

18) -4

19) -3

20) -12

Answer:

see below

Step-by-step explanation:

1.  75

2.  -14

3.  91

4.  67

5.  24

6.  112

7.  91

8.  44

9.  15

10.  -11

11.  -11

12.  -12

13.  7

14.  -60

15.  -56

16.  -378

17.  -126

18.  -4

19.  -3

20.  -12

The lengths of XY and YZ add up to the length of XZ:

XY + YZ = XZ

We know that XZ = 10 + 1/5 = 51/5, and XY = 4 + 2/3 = 14/3, so

14/3 + YZ = 51/5

Subtract 14/3 from both sides to solve for YZ:

YZ = 51/5 - 14/3

Find a common denominator; the least common multiple of 5 and 3 is 15, so multiply the first fraction by 3/3 and the second one by 5/5 to get

YZ = 153/15 - 70/15

YZ = (153 - 70)/15

YZ = 83/15

We have 80 = 75 + 8, so that

YZ = 83/15 = (75 + 8)/15 = 75/15 + 8/15 = 5 + 8/15

Answer:

The correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].

Step-by-step explanation:

We know that the opposite of the opposite of a number, say 2, is the number itself.

That is:

Opposite of 2 is -2.

Then the opposite of -2 is:

- (-2) = 2

It is provided that:

Assume that both Justine and Meagan started with 0 score.

Justine plays first.

If Justine answered a question incorrectly, his score would be -7.

Then Meagan plays, and answers the question correctly.

So, Meagan got the opposite score.

The opposite of -7 will be [- (-7)].

Thus, the correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].

Answer:

168

Step-by-step explanation:

No of cans of soda Dixie has = 185 - 17 = 168

Another way:

Let Dixie has x cans of soda

Therefore,

Viola has = (x + 17) cans

According to the given information:

x + 17 = 185

x = 185 - 17

x = 168

Answer:

.85%

Step-by-step explanation:

You add up all the students who have an A whether they are male or female. 3 + 17 = 20. You have 17 males right? Divide 17 by 20 to get .85

Answer:

10/3

Step-by-step explanation:

-1(6h + 7) = -6h - 7

-6h - 7 + 8 = -6h + 1

-6h + 1 = -19

        -1     -1 - Subtract 1 from both sides.

-6h = -20

-6        -6 - Divide both sides by negative 6

h = 10/3

Answer:

h = 10/3

Step-by-step explanation:

-(6h + 7) + 8 = -19

Subtract 8 from each side

-(6h + 7) + 8-8 = -19-8

-(6h + 7)  = -27

Divide by a negative

6h+7 = 27

subtract 7

6h+7-7 = 27-7

6h = 20

Divide by 6

6h/6 = 20/6

h = 10/3

Answer:

19 is correct answer

Step 1:

3(5 + 2) -8 + 2(3)

Step 2:

15+6-8+6

Step 3:

27-8

Step 4:

19

hope it helped you:)

The question is incomplete. Here is the complete question.

The stem plot shows the number of swimming laps completed by the swim team members at a single practice.

5       7 9

6       1 2 3 4

7       6 6

8

9

10

11

12      5

What is a correct statement about distribution?

There no outliers

The distribution is symmetric

The center is around 80

The distribution is unimodal

The spread is from 57 to 89.

Answer: The distribution is unimodal.

Step-by-step explanation: Stem Plot is an unique way of writing numbers in a table. Each value is split into a "stem" (first digit or digits) and a "leaf" (usually the last digit).

For the swim team practice, we have:

57, 59, 61, 62, 63, 64, 76, 76, 125

Note that, although there the digits 8, 9, 10, and 11, there no "leaves" for them, so, the values are not part of the distribution.

Outlier is a value that lies outside most of other values. In the distribution there is the value 125 which is very much more than other values, i.e., it is an outlier, so, alternative "There no outliers" is false;

Ploting the values on a frequency graph, it shows a curve skewed to the right, i.e., deslocated to the right, then, it is not symmetric. Second alternative is false.

The center of the distribution is the middle value, which is 63, then, third statement is false.

The spread of this distribution is from 57 to 125, so fifth statement is incorrect.

An unimodal distribution is a distribution which has only one clear peak or most frequent value. At the swim team distribution, the value that appears more than once is 76, so the peak is at that value. The other values appears just once, so distribution has only one peak. Fourth statement is correct.

Answer:

35.8°

144.2°

Step-by-step explanation:

Definition of Supplementary Angles: They add up to 180°

Step 1: Set up equation

3x + 12x + 1 = 180

Step 2: Solve

15x + 1 = 180

15x = 179

x = 11.93

Step 3: Find angles

∠1 = 3x

m∠1 = 3(11.93) = 35.8°

∠2 = 12x + 1

m∠2 = 12(11.93) + 1 = 144.2°

Answer:

40 - x - x - x - 5.75  OR  40 - 3x - 5.75  OR  34.25 - 3x

Step-by-step explanation:

To find the amount of money Tim has left, we will simply write an expression that starts with the total he started with subtracting each expense.

$40

- $x

- $x

- $x

- $5.75

________________________

$40 - $x - $x - $x - $5.75

= $ (40 - 5.75) - 3(x)

= $ 34.25 - 3x

So you can choose one of three of these expressions:

(1) 40 - x - x - x - 5.75

(2) 40 - 3x - 5.75

(3) 34.25 - 3x

Cheers.

Answer:

You have 767.76 mL of soap.

Answer: 767.76 ml of dish soap.

Step-by-step explanation: 625.05+142.71=767.76.

Answer:

First of all, you are going to add

5

x

to each side. This will give you a new equation of

8

x

=

16

. The reason you add 5 is because you want to get rid of the -5x on the right. When you add 5 it changes to 0x. Anything times 0 equals 0. The next step is to divide both sides by 8. The reason you divide is to get x alone. When you divide 8x by 8, you get 1x. 1 times anything equals what the other thing is. For example, 1 times 4 is 4. This will give you your answer of

x

=

2

Answer:

Step-by-step explanation:

kindly find attached a rough sketch of their sitting position which forms a right triangle

We can proceed by using Pythagoras therm to solve for the  distance between Bridget and Alan which is the hypotenuse

[tex]C^= A^2+B^2\\\\C= \sqrt{A^2+B^2}[/tex]

From the problem statement

A, which is the opposite is = 3 ft

B, which is the adjacent = 9 ft

C, is the hypotenuse= ?

Substituting into the expression we have

[tex]C= \sqrt{3^2+9^2} \\\\C= \sqrt{9+81}\\\\C= \sqrt{90}\\\\ C= 9.48 ft[/tex]

To the nearest tenth the distance is 9.48 ft

Answer:

2.6 meters

Step-by-step explanation: That the most unnecessary math ever, thank you to who ever decided to come up with the Pythagorean theorem.

The type of person to write the name on scratch paper...

:)

Answer: The whole equation is simplified down to -20.

Step-by-step explanation:

Here's how I got my answer:

Equation is 4p^2 + 7q^3

All you need to do is plug in the values they have given you. If you apply them, you get:

4 (-3)^2 + 7 (-2)^3

Which simplifies to:

4 (9) + 7 ( -8)

Simplify furthermore:

36 + (-56)

Which gives you:

-20