when I multiply my first number by 3 and my second lucky number by 2, the addition of the resulting produces a sum of 93. when I add twice my first lucky number to my second lucky number the sum is 53. what are my lucky numbers?

x = 21

y = 6

x = 4y - 3

x + y - 7 = 20

Because we have a value for x, we can put it in the second equation to find the value of y.

4y - 3 + y - 7 = 20

Combine like terms.

5y - 10 = 20

Add 10 to both sides.

5y = 30

Divide both sides by 5.

y = 6

Now we can place this value of y back into the equation to find the exact value of x.

x + 6 - 7 = 20

Combine like terms.

x - 1 = 20

Add 1 to both sides.

x = 21

3(x-2)+5x=18

the correct answer is x=3

first simply the equation

8x=18+6

Now rid of alike terms resulting in

8x=24

now divide 24 by 8

x=3

the volume (V ) of a cuboid is V = Ah

where A is the area of the base or top and h is the height

h = 180 cm = 1.8m

V = 0.6 × 1.8 = 1.08 m³

The volume of the refrigerator is calculated by converting its height from centimeters to meters (180 cm = 1.8 m) and then multiplying it by the given area of the top (0.6 m²), resulting in a volume of 1.08 cubic meters.

To calculate the volume of the refrigerator, we need to use the formula for the volume of a rectangular prism, which is Volume = length x width x height. We already have the area of the top of the refrigerator, which is a product of its length and width, and we're given the height. However, firstly we need to ensure that all units are in meters.

Convert the height from centimeters to meters: 180 cm = 1.8 m.

Now, we can calculate the volume: Volume = Area x Height = 0.6 m² x 1.8 m = 1.08 m³.

Therefore, the refrigerator has a volume of 1.08 cubic meters.

she will need to mow 8 yards because 109 divided by 15 equals 7.2 but she cant just mow 7.2 yards so you round up to 8 yards

Bob drove 134.5 miles. If you created a comparison between 5/7 and 188.3, do so by using 5/7=x/188.3 . Multiply 7 and x equaling to 7x and 5 with 188.3 to get 941.5 . After that divide 941.5 by 7x, and the answer for x would result in 134.5, the amount he drove

Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10

When three coins are tossed, the probability of two coins landing on heads is 3/8 or 0.375.

In the scenario where three coins are tossed, the total outcomes possible would be 2^3 = 8 (representing Heads/H or Tails/T): HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Out of these, there are three outcomes where exactly two coins show heads (HHT, HTH, THH), and one coin shows tails. Hence, the probability of getting exactly two heads when three coins are tossed is 3 out of 8 or 3/8 = 0.375.

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AC = CB, hence ΔABC is isosceles

the base angles 34 and x - 5 are therefore equal

x - 5 = 34 ( add 5 to both sides )

x = 39

and 4y = 180 - ( 2 × 34 ) = 112

4y = 112 ⇒ y = 28

Answer:

x=39° ,y=28°

Step-by-step explanation:

In the given figure

Side AC = Side BC

Hence ΔABC is an isosceles triangle.

⇒∠CAB =∠CBA   (∵ angles  opposite to equal sides are equal)

                        ⇒  (x - 5)° = 34°  

                            ⇒  x = 39

Also in Δ ABC

            ∠ABC + ∠ACB + ∠CAB = 180°

                                                    (∵ Sum of all the interior angles of a triangle)

               ⇒   34° + 34° + 4 y = 180°

                 ⇒     4 y =180°-68°

                    ⇒     y=112°÷ 4

                        ⇒y= 28°

Hence, x = 39° , y = 28°

To find the number of gallons of olive oil used during the week, divide the volume of olive oil used in quarts by 4.

To find out how many gallons of olive oil the restaurant used during the week, we need to know the volume of olive oil used and convert it from quarts to gallons. Since there are 4 quarts in a gallon, we can divide the volume of olive oil used by 4 to get the number of gallons. Let's say the restaurant used 20 quarts of olive oil during the week. We divide 20 by 4 to get the answer:

20 quarts ÷ 4 = 5 gallons

Therefore, the restaurant used 5 gallons of olive oil during the week.

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5

Rounding to whole number is the same number as it is, tenth means to leave one number after the decimal point, hundredths means to leave two numbers after the decimal point and so on.

The unit rate is $/Hr.  Since the hours are the unit being considered.

To find the unit rate, divide both sides by three

(Let x = hourly rate)

3x = 15

x = 5

Miguel Makes $5 per Hour

Answer:

He Earns 5 Per Hour

Question says that a yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. Also the store has 15 possible toppings.

Now we need to find about how many different 3-topping combinations can a customers choose.

To find that we just need to apply combination formula

[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]

which is used to select r items out of n items

we have to find combination of 15 toppings into 3 toppings so we calculate C(15,3) using above formula

[tex]C(15,3)=\frac{15!}{3!(15-3)!}[/tex]

[tex]C(15,3)=\frac{15!}{3!*12!}[/tex]

[tex]C(15,3)=\frac{15*14*13*12!}{3!*12!}[/tex]

[tex]C(15,3)=\frac{15*14*13}{3!}[/tex]

[tex]C(15,3)=\frac{2730}{6}[/tex]

[tex]C(15,3)=455[/tex]

Hence final answer is 455.

Answer:

only 455

Step-by-step explanation:

i have a ? how do you know when its C(n,r) and not P(n,r)

Answer:

Triangle KLM is congruent to triangle ONM.

Step-by-step explanation:

All three angles of triangles are equal, that is both triangles are congruent.

Please share the figure to show the numbering of angle you are using. So that I can describe you which angle is equal to which one.

Answer:

The correct option will be:  B) 2,500

Step-by-step explanation:

Nikita invest 2000 into a bank account with a 4% annual interest rate.

So, the amount of interest in one year will be:  [tex](2000*0.04)= 80[/tex]

and the amount of interest in 7 years will be: [tex](80*7)=560[/tex]

Thus, the total money in her account after 7 years [tex]=(2000+560)=2560[/tex]

So, the most expensive item she can afford to buy will be:  2500

Answer:

The answer is (a mountain bike priced at $2,500) In Plato

Step-by-step explanation:

The answer is C,

200 is the original distance

plus the increasing 5 yards everyday

Yes, this relationship is proportional.

Answer:

Yes, the relationship is proportional

Step-by-step explanation:

This is because the number of hours (x) is multiplied by the same number, 7.5, meaning that all of the values will be proportional (create a straight/linear line on a graph when the points are plotted).

6•50=$3.00 pennies

5•40=$2.00 nickels

50•10=$5.00 dimes

25•40=$10.00 total $20.00

Answer: $63

Step-by-step explanation:

Penny = $0.01

Nickel = $0.05

Dime = $0.1

Quarter= $0.25

Number of pennies = 6(50) = 300

Number of nickels = 5(40)= 200

Number of dimes = 4(50)= 200

Number of quarters = 3(40) = 120

Total amount of money:

300(0.01)+ 200(0.05) + 200(0.1) + 120(0.25) = $63

Answer:

Cutoff for a failing score is 49 and 2.28% students failed.

Step-by-step explanation:

We have been given that scores on a psychology exam were normally distributed with a mean of 57  and a standard deviation of 4.

2 standard deviation below mean would be,

[tex]57-2(4) =57-8= 49[/tex]

Therefore,Cutoff far a failing score is 49.

Now let us find out the z-score for our given values,

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]z=\frac{49-57}{4}=\frac{-8}{4} =-2[/tex]

Now let us look up the probability from normal distribution table.

[tex]P(z<-2) =0.02275[/tex]

Therefore, percentage of students failed is 2.28%.

First, we would set the number to x.

Then, we turn the words into an equation.

x+75 = 3x-39

Isolate the x.

-2x = -114

So...

x = 57

The Number is 57.

Let's call the number you're trying to find "x."

According to the information given, if 75 is added to x, the result is 39 less than three times the number, which can be expressed as:

x + 75 = 3x - 39

To solve for x, you can first get all the x terms on one side of the equation and the constant terms on the other side:

75 + 39 = 3x - x

Now, simplify the equation:

114 = 2x

To isolate x, divide both sides by 2:

x = 114 / 2

x = 57

For more such questions on Number

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The graph of the line would get less steep.

(APEX approved~)

Answer:

D) Less steep.

[tex]|-2 + (-1)|[/tex]

Well, first, we must subtract-2 by 1, as the negative sign next to 1 is inside the parentheses.

[tex]|-2 -1|[/tex]

[tex]|-3|[/tex]

Now remember, since it is an absolute value, meaning the distance from that number to zero, we will now disregard the negative sign and get our answer: 3

Method One:

Step One: Figure out how long the width is, witch is 19 feet.

Step Two: Multiply 2*19 and 3*11 because it is 2 times as long and three times as wide

Step Three: Add 38+33

The new perimeter will be 71 feet.

The original garden's width is determined to be 4 feet. Upon expanding the garden to triple its length and double its width, the new garden's perimeter is calculated to be 82 feet.

The question is about calculating the perimeter of a new garden based on given dimensions and scale factors for its expansion. The original garden has a perimeter of 30 feet and a length of 11 feet. To find the width, we use the formula for the perimeter of a rectangle, P = 2l + 2w, which gives us 30 = 2(11) + 2w. Solving for w, we find that the width of the original garden is 4 feet.

Given that Mr. Glidden is expanding his garden to be 3 times as long and 2 times as wide, the new dimensions will be 3(11) feet by 2(4) feet, or 33 feet by 8 feet.

Therefore, the new perimeter will be 2(33) + 2(8), which equals 66 + 16, resulting in a new perimeter of 82 feet.

The expression y = kx can be used to find the value of y when x is given. In this case, the value of y when x is 2 is 16.

To find the expression to determine the value of y when x is 2, we need to use the fact that y varies directly as x. This can be represented by the equation y = kx, where k is the constant of variation.

We are given that when x is 6, y is 48. Plugging these values into the equation, we have 48 = k * 6. Solving for k, we find that k = 8.

Now we can use this value of k in our equation to find y when x is 2. Substituting 8 for k and 2 for x, we have y = 8 * 2 = 16. Therefore, the value of y when x is 2 is 16.

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38.9e i think 60% sure

Correct answer is: difference in their scores is 30

Solution:-

Given that Jeff won a contest play a round golf with Phil.

And Phil's score was -6 where as Jeff score was 24.

Hence difference in the scores = Higher score - lower score

                                                    = 24-(-6) = 30 ( negative of negative will become positive)

Hence difference in their scores is 30.