Pls help question is in the picture

Answer:

[tex]135 + 4x + 5x = 180 \\ 9x = 180 - 135 \\ 9x = 45 \\ x = \frac{45}{9} \\ x = 5[/tex]

Angle A will be

[tex]5 \times 5 = 25[/tex]

=25°

Answer:

(a) unpaid balance = $667.95

(b) Previous balance = $761.67

(c) his new balance = $683.98

Step-by-step explanation:

In the question, we are given the following:

Monthly periodic rate = 2.4%, or 0.024

Curren charges = $256.28

Total payment made = $350

Finance charge = $18.28

Therefore, we now proceed as follows:

(a) unpaid balance

This can be calculated as follows:

Unpaid balance = Previous balance + Current charges - Total payment made ................. (1)

Note that from part (b), Previous balance is equal to $761.67.

Substituting this and other values from the question into equation (1), we have:

Unpaid balance = $761.67 + $256.28 - $350 = $667.95

(b) Previous balance

This can be calculated as follows:

Previous balance = Finance charges / Monthly periodic rate = $18.28 / 2.4% = $18.28 / 0.024 = $761.67

(c) his new balance

This can be calculated as follows:

New balance = Unpaid balance * (1 + Monthly periodic rate) = $667.95 * (1 + 2.4%) = $667.95 * (1 + 0.024) = $667.95 * 1.024 = $683.98

if the question is asking what is X then the answer is

X - 3 >-25

X >-25+3

X >-22

Answer:

Step-by-step explanation:

First solve for the common ratio:

[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]

Use the geometric summation equation to solve for sum:

[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]

The sum of the first 6 terms of the following series is 540.

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The sum of the terms of the geometric sequnece is given by;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

The common ratio of the sequence is;

[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]

The sum of the first 6 terms of the following series is;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]

Hence, the sum of the first 6 terms of the following series is 540.

Learn more about geometric sequence here;

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Answer:

Step-by-step explanation:

Answer:

The last option

Step-by-step explanation:

You can find the slope by using this equation : y2-y1/x2-x1. We can choose any two y coordinates and any two x coordinates to find this. For instance, you can write this as -3-(-2.25)/0-(-1). Now, we can solve.

-3-(-2.25)/0-(-1)

-3+2.25/0+1

-0.75/1

-0.75

-0.75 in fraction form is -3/4.

I'm not quite sure how to calculate the y-intercept, but we know the slope, and that's all we need for this problem (the slope number is next to the x). This makes our answer the last option. Hope this helps!

Answer:

11:45

Step-by-step explanation:

Answer:

14.7, because 5x + 90 + 16.5 =180

so 180-90-16.5=5x

x= 14.7

Answer:

The population is 384 bacteria at 2pm

Step-by-step explanation:

Because u just need multiplied

Answer:

1. 12

2. 0

3. 9

Step-by-step explanation:

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

A and B are equivalent to -96x + 120

Step-by-step explanation:

-96x + 120

A. 8 (-12x + 15)

8 * -12x = -96x

8 * 15 = 120

8 (-12x + 15) = -96x + 120

-96x + 120 = -96x + 120

Equivalent

B. -12 (8x - 10)

-12 * 8x = -96x

-12 * -10 = 120

-12 (8x - 10) = -96x + 120

-96x + 120 = -96x + 120

Equivalent

C. -8 (12x + 15)

-8 * 12x = -96x

-8 * 15 = -120

-8 (12x + 15) = -96x-120

-96x + 120 ≠ -96x - 120

Not Equivalent

Answer:

B

Step-by-step explanation:

28/4=7 therefore, each ticket is $7.

Answer:

B, C

Step-by-step explanation:

A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.

B is right due to the fact that each ticket is $7 if you divide $28 by 4.

C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)

D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.

Answer: 4

Step-by-Step Explanation: When written in slope-intercept form, the equation becomes y = 4x - 2; the basic structure of this formula is y=mx+b, where m is the slope and b is the y-intercept.

Knowing this information, we can also figure out the slope and y-intercept. 4, or m, is the slope of the proposed line.

Answer:

37.4

Step-by-step explanation:

Answer:40

Step-by-step explanation:

Answer: A = 216; B = 35

Step-by-step explanation:

Based on the information given in the question, we can then make it into a mathematical equation. This will be:

A + B = 251 ....... i

A - B = 181 ....... ii

From equation i,

A = 251 - B

Put the value of A into equation ii

A - B = 181

(251 - B) - B = 181

251 - B - B = 181

251 - 2B = 181

2B = 251 - 181

2B = 70

B = 70/2

B = 35

Since A = 251 - B

A = 251 - 35

A = 216

Answer:

6.5

Step-by-step explanation:

3(x+6)2=75 | Given

6x + 36 = 75 | Distribute

6x = 39 | Subtract 36 from both sides

x = 6.5

Answer:

1/2(2x-6)= -6

Step-by-step explanation:

Multiply the two sides by the equation 2

2x-6=12

move the constant to the right hand side change sign

2x = -12 + 6

calculate the sum

2x= -6

Divide the 2 sides by 2

x= -3

Answer:

In 11 teaspoons, there are 53.9 milliliters.

Step-by-step explanation:

Since you know that one teaspoon is equal to 4.9 milliliters, to find the answer, you have to multiply 4.9 times the amount of teaspoons, or 11. Hence, the answer is 53.9.

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Answer:

You need to find 84% of 4200 to get the amount of students.  First change the percent to a decimal, and multiply 0.84 x 4200.

There were 3528 total students at the theater.

Answer:

48 cups of sugar.

Step-by-step explanation:

12 cups of sugar for 8 cups of lemonade then I let 32 cups of lemonade corresponding with x cups of sugar, then 12/8 = x/ 32, then 8x = 32 * 12, then solve for x get 8x = 384, x =48.

Answer:

32÷8= 4 cups of sugar...........

Answer:

12

Step-by-step explanation:

edge :)

Answer:

3 to 7

Step-by-step explanation:

Answer:

3:7

Step-by-step explanation:

If there were no ties, then 3:7 would be your answer.

Answer:66

Step-by-step explanation:

66

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

Answer:

21.5 feet

Step-by-step explanation:

d = Distance of the bottom of the tower to the point of observation

x = Height of the top section of the tower

a = Height of bottom section

b = Total height of tower

[tex]\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}[/tex]

[tex]\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}[/tex]

[tex]x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}[/tex]

The height of the top section of the tower is 21.5 feet.