1. Find the value of X
2. Find the measure of RSM
3. Find the measure of PTU
4. List all the angles congruent to RSM
5. List all angles congruent to PTU

Considering the definition of an inequality, for more than 67 number of programs Howie's Printing will cost more than Mint Print.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

The solution of an inequality is the value or set of values that the variable has so that the inequality is fulfilled.

Being "x" the number of program printed, you know that:

If Howie's Printing cost more than Mint Print, the inequality that expresses the previous relationship is

Howie's Printing charges > Mint Print charges

19.99 + 0.25x > 29.99 + 0.10x

Solving:

0.25x - 0.10x > 29.99 - 19.99

0.15x > 10

x > 10÷0.15

x > 66.67≅ 67

Finally, the number of programs is more than 67.

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The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds

Given,

The number of questions = 2

Time taken to complete 2 questions = 9 minutes

Now,

The number of questions = 5

We have to find the time taken to complete 5 questions:

We can consider ratio here:

That is,

Number of questions : Time taken to complete

So,

2 : 9 and 5 : x

Lets equate:

2 : 9 = 5 : x

That is,

2x = 5 × 9

Now, divide 2 on both sides:

2x/2 = (5 × 9) / 2

Here,

x = 45/2

Then,

x = 22.5

Converting this into minutes, we get 22 minutes, 30 seconds.

That is,

The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds

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Work Shown:

[tex](x_1,y_1) = (1,-3) \text{ and } (x_2,y_2) = (4,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - (-3)}{4 - 1}\\\\m = \frac{0 + 3}{4 - 1}\\\\m = \frac{3}{3}\\\\m = 1\\\\[/tex]

Answer:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]

Step-by-step explanation:

Given equation:

[tex]d=6t[/tex]

where:

To complete the table, substitute each value of t into the given formula and solve for d:

[tex]t=2 \implies d=6(2)=12[/tex]

[tex]t=4 \implies d=6(4)=24[/tex]

[tex]t=6 \implies d=6(6)=36[/tex]

Enter the found values of d into the table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]

Answer: y = 20.48

Step-by-step explanation:

To get rid of the denominator under the y you must multiply the entire equation by 4.

y = 20.48

That's all :)

Answer:

20.48 :)

Step-by-step explanation:

To find y you need to do 5.12 multiplies by 4 which is 20.48. Hope this helps <3

Answer: 3708.61

Step-by-step explanation:

The first thing I did was subtract, 3747

                                                    - 38.39

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

                                                  3708.61

*when you hear the word (difference) you will know to subtract.

difference: Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value. The product of this sum is the difference between the two numbers. Therefore the difference between 45 and 100 is 55.

The system of inequalities can be given as

[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]

Inequality is the relationship between two or more expressions or values that are not equal to one another.

We are informed that the bakery charges $3 for each cupcake and $1.5 for each donut.

If a represents the quantity of cupcakes bought and y the quantity of donuts bought

A total of 13 products had to be purchased.

Equations can be given as

[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]

On graphing the inequalities we get

The intersection of the two inequalities is the required region

For our convenience we consider (2,14) That is 2 cupcakes are 14 donuts

The total cost is 3(2)+1.5(14)=27

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The answer for 2+22+222+2222+22222 is 24690

Answer:

22222222222

Step-by-step explanation:

222+22+2222+22²22

Answer:

70

Step-by-step explanation:

[tex]56(5/4)=70[/tex]

Step-by-step explanation:

how much less than negative 2 is negative 5​:

-7   -6   -5   -4   -3  -2   -1   0   1   2   3   4   5   6   7

What you are looking for is the difference between -5 and -2:

= -5 - (-2)

= -5 + 2

difference -3

so: -5 is 3 smaller than -2

Answer:

Jake = 24

Jan = 48

Step-by-step explanation:

J = Jan

X = Jake

2x + x = 5x - 48

2x = 4x - 48

-2x = -48

x = 24

Jake = 24

Jan = 48

Answer:

Discrete data

Step-by-step explanation:

Discrete data is information that can only take certain values.

Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.

What are mixed fractions?

Converting each mixed fraction to an improper fraction and then decimal to compare between two values, we get-

Cooper's jump rope length= [tex]4\frac{2}{5}[/tex] = 22/5 =4.4 m

Luke's jump rope length = [tex]4\frac{3}{4}[/tex] = 19/4 = 4.75 m

Luke's jump rope is greater than cooper's by 4.75-4.4 =0.35m

Comparing both lengths, we get that Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.

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Answer: 576

Step-by-step explanation:

First Triangle:

This is a special right-angled triangle and is known as 45°-45°-90° triangle

To solve for any side length, we can use the following procedure.

As you can see, the sides opposite to the 45° are equal and in this case, both are 3

Then the side opposite 90° will be

Therefore, the side a = 3√2

Second Triangle:

This is a special right-angled triangle and is known as the 30°-60°-90° triangle.

To solve for any side length, we can use the following procedure.

As you can see, the side opposite the 30° is the smallest.

The side opposite the 60° is 2 times the side 30°

The side opposite the 90° is √3 times the side 30°

For the given case, we want to know the side opposite of side 30°

We are given the side opposite the 60° that is 8

Therefore, side h = 4

We have that the Decrease of £16870 by 3%  is mathematically given as

P=168193.9=>168193.90 2dp

Arithmetic

Question Parameters:

Decrease £16870 by 3% Give your answer rounded to 2 DP.

Generally the equation for the 3%  of 16870  is mathematically given as

X=0.03*16870

X=506.1

Therefore Decrease £16870 by 3% we have

16870  - 506.1

P=168193.9

Answer:

= £16363.9

Step-by-step explanation:

- Decrease is a reduction and can be done only by subtraction in two ways;

[tex] = (100 - 3)\% \\ = 97\%[/tex]

- Then multiply the result to the value being decreased;

[tex] = \frac{97}{100} \times 16870 \\ \\ = 16363.9 \: \: euros[/tex]

[tex] = \frac{3}{100} \times 16870 \\ \\ = 506.1 [/tex]

- Then reduce the original by the result:

[tex] = 16870 - 506.1 \\ = 16363.9 \: euros[/tex]

Answer: 585

Step-by-step explanation: You can multiply both numbers and divide by 2 to get the answer

[tex]1.25[/tex]

[tex]3 \times \frac{5}{8} - 2 \times \frac{3}{8} = \frac{29}{8} - \frac{19}{8} = \frac{10}{8} = 1.25[/tex]

Answer:

The correct option is B.

The most appropriate choice for heat  will be given by-

Amount of heat absorbed by the lead = 1455.12 J

What is heat?

Heat is the form of energy which caused in us the sensation of hotness or coldness.

SI Unit of heat is Joule                              

Here,

Mass (m) of block of lead = 300 gram

Specific heat capacity (c) of block of lead = 0.129 J/g°C.

Increase in temperature ([tex]\Delta[/tex]t)  of block of lead= 59.9 - 22.3

                                                                           = 37.6° C

Amount of heat absorbed by the lead = [tex]300 \times 0.129 \times 37.6[/tex]

                                                                = 1455.12 J

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T-Mobile charges a base fee of $15 per month plus $0.05 for each minute. 300 minutes long would you need to call for them to charge the same amount.

Given that,

T-Mobile charges a base fee of $15 per month plus $0.05 for each minute you are on the phone for any long-distance call, while Verizon has a basic rate of only $10 per month but charges $0.10 for long-distance calls.

We have to find how long would you need to call for them to charge the same amount.

We can write the equation as

15+0.05x=0.10x

0.05x-0.10x=-15

-0.05x=-15

0.05x=15

x=15/0.05

x=300 minutes

Therefore, 300 minutes long would you need to call for them to charge the same amount.

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Answer:

A

Step-by-step explanation:

A is the only one that has multiple points on one x-axis, and a function only has one point per x-axis.

The probability that you win a prize is 0.00003797372

From the question, we have the following parameters:

Sample Space = 1 to 22

This means that

Sample size, n = 22 i.e. the count of numbers from 1 to 22

The count of numbers to be drawn is 5

So, the individual probabilities are

P(1) = 5/22

P(2) = 4/21

P(3) = 3/20

P(4) = 2/19

P(5) = 1/18

The probability of winning is the product of the above

So, we have

p = 5/22 * 4/21 * 3/20 * 2/19 * 1/18

Evaluate

p = 0.00003797372

Hence, the probability is 0.00003797372

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A square number is the result of multiplying an integer or number by itself exponentially. Square numbers are always positive numbers. Positive sign (+) is produced when the negative sign is multiplied by itself. Option B:  64/49 is not equal to 8/7

Option B:  64/49 is not equal to 8/7

64/49 = (8/7) ^2 but not 8/7

whereas all the other options:

16/14 = 8/7

32/28 = 8/7

72/63 = 8/7

Hence, Option B:  64/49 is not equal to 8/7

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Lineal function

y = mx+b

Replacing with the values given:

y = 2x+7

y=2(8)+7

y= 23

Answer:

9: m = 15h

10: d = 6.5t

13: No because the ratios are not equivalent as they start with$450.