A SECRET CODE has 5 digits. Each digit is different. It is a multiple of 4 and 11. If the middle 3 digits are 926, in that order, what is the product of the first and last digits?

Answers

Answer 1

Answer:

The product of the first and last digits is 40.

Step-by-step explanation:

Multiple of 4 rule:

The last two digits must form a number that is divisible by 4.

Multiple of 11 rule:

We find the alternate sum of the digits, and it must be divisible by 11.

A SECRET CODE has 5 digits. The middle 3 digits are 926

So the code is

x926y

Divisible by 4:

This means that the 6y must be divisible by 4, which means that the possible values of y are 0, 4, 8.

Value of x when y = 0:

x9260

x - 9 + 2 - 6 + 0 = x - 13

It will be divisible by 11 when x - 13 = 22, that is, x = 9. However, the digit 9 is already used, which means that y = 0 is not a possible option.

Value of x when y = 4:

x9264

x - 9 + 2 - 6 + 4 = x - 9

It will be divisible by 11 when x - 9 = 0, that is, x = 9, which is not possible, as we saw above. Or

x - 9 = 11

x = 2

The digit 2 is also possible, so y cannot be 4.

Value of x when y = 8:

x9268

x - 9 + 2 - 6 + 8 = x - 5

x - 5 = 0 -> x = 5

So, the number is:

59268

What is the product of the first and last digits?

5*8 = 40

The product of the first and last digits is 40.


Related Questions

Please give me the correct answer.Only answer if you're very good at math.Take your time when answering.​

Answers

Answer:

your answer will be option B) y=20x+30

Step-by-step explanation:

have a great day

ANSWER CHOICES LISTED
what transformation to the linear parent function f(x)=x gives the function g(x)= -4x? select ALL that apply

a. Horizontally stretch by a factor of 4
b. Shift 4 units down
c. Vertically stretch by a factor of 4
d. Reflect over the x-axis

Answers

Answer:

c, d.

Step-by-step explanation:

c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.

d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.

Kristin's Bikes rents bikes for $11 plus $2 per hour. Willie paid $23 to rent a bike. For how many hours did he rent the bike?

Define the variable, write an equation, and solve the equation.

Answers

Answer:

6

Step-by-step explanation:

Let x = number of hours.

Let y = cost.

The fixed cost is $11.

The cost per hour is $2.

For x hours, the cost per hour is 2x.

y = 2x + 11

23 = 2x + 11

12 = 2x

x = 6

Answer: 6

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

2 x + 3 y - 7 = 0
2 y = -3 x + 7

Answers

Answer:

Here is the answer i hope this helps!?

Step-by-step explanation:

(7/5 , 7/5)

Equation Form: x = 7/5, y = 7/5

Answer:

2y = -3x + 7

Step-by-step explanation:

(3, -1) and (-1, 5)

Slope:

m=(y2-y1)/(x2-x1)

m=(5+1)/(-1-3)

m=6/(-4)

m= -3/2

Slope-intercept:

y - y1 = m(x - x1)

y + 1 = -3/2(x - 3)

y + 1 = -3/2x + 9/2

y = -3/2x + 7/2

Standard form:

y = -3/2x + 7/2

3x + 2y = 7

2y = -3x + 7

Please help me
[tex] \sf{with \: explanation \: again}[/tex]

Answers

Answer:

50,000 joules

Step-by-step explanation:

total mass of people = 50× 5 = 250kg

height = 20m

force = mass × g = 250× 10 ( taking g= 10m/s²)

f= 2500N

work done = force × distance

= 2500× 20

= 50000 joules

A supermarket chain sells oranges, apples, peaches, and bananas in three stores located throughout a large metropolita area. The average number of pounds sold per day in each store is summarized in matrix M. “In season” and “out of season" prices, per pound, of each fruit are given in matrix N. What is the total, for the three stores, of “in season" da revenue for the four fruits? The "out of season" peach sales represent what percentage of the daily total "out of seaso revemes for store 3?

A $1877.00; 29. 74%
B $ 2152.50; 19.83%
C $ 2404.50; 64.43%
D $ 2152.50; 29.81%​

Answers

Answer:

it's b

Step-by-step explanation:

HELP PLEASE EASY MATH

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y=mx+b, mx being the slope and b being the y-intercept. The answer is C.

The highest elevation in Delaware is 106 feet higher than the highest elevation in Florida. Louisiana's highest elevation is 190 feet higher than Florida's highest elevation. If you climbed from sea level to the highest points in Delaware, Florida, and Louisiana, you would only climb 1331 feet. How high is the highest elevation in each of the three states?

Answers

Answer:

Florida = 345 feets

Delaware = 451 feets

Louisiana = 535 feets

Step-by-step explanation:

Given that:

Let :

Highest elevation in Florida, = x

Highest elevation in Delaware = x + 106

Highest elevation in Louisiana = x + 190

Sum of highest elevation in the 3 states = 1331 feets

Hence,

x + x + 106 + x + 190 = 1331

3x + 296 = 1331

3x = 1331 - 296

3x = 1035 feets

x = 1035 / 3

x = 345 feets

Hence,

Highest elevation in Florida, = x = 345

Highest elevation in Delaware = 345 + 106 = 451

Highest elevation in Louisiana = 345 + 190 = 535

what can be added to 2 to give us -6

Answers

Answer:

-8 can be added to 2 to give us -6

Step-by-step explanation:

hopefully this helps :)

-8 can be added to 2 to give you -6

Bill has $590 in his account. He earned $15 per hour for x hours, and deposited his earnings into
his account. Jeremy has $545 in his account. He earned $20 per hour for x hours, and deposited
his earnings into his account. They both worked the same number of hours and now have the same
amount of money in their accounts. Which of the following equations could be used to determine
the amount hours they worked?
A 15x + 590 = 20x + 545
B 20x + 590 = 15x + 545
C 15x + 590 + 20x + 545
D 590 – 15x = 545 – 20x

Answers

A. 15x + 590 = 20x + 545

a metal box that is in shape of cuboid has the following dimensions. the length is 9 inches, width is 2 inches and height is 1. 5 inches. find the total cost of silver coating the entire box if the cost of coating is $2.50 per Sq. inches​

Answers

Given:

Length of a box is 9 inches, width is 2 inches and height is 1.5 inches.

The cost of silver coating is $2.50 per sq. inches.

To find:

The total cost of silver coating for the box.

Solution:

The total surface area of a cuboid is

[tex]A=2(lb+bh+hl)[/tex]

Where, l is length, b is breadth and h is height.

Putting [tex]l=9,b=2,h=1.5[/tex], we get

[tex]A=2(9\times 2+2\times 1.5+1.5\times 9)[/tex]

[tex]A=2(18+3+13.5)[/tex]

[tex]A=2(34.5)[/tex]

[tex]A=69[/tex]

So, the total surface area of the box is 69 square inches.

Cost of silver coating is $2.50 per sq. inches. So, the cost of silver coating for the box is

[tex]Cost=69\times 2.50[/tex]

[tex]Cost=172.50[/tex]

Therefore, the cost of silver coating for the box is $172.50.

You bike 4 miles the first day of your training, 4.3 miles the second day, 4,9 miles the third day, and 6.1 miles the fourth day. If
you continue this pattern, how many miles do you bike the seventh day?

Answers

Answer:

+3 , +6 , + 12

x2

Step-by-step explanation:

4

4.3

4.9

6.1

Help Fast Plzzzzzzzzzzzzz

Answers

Answer:

id say 126

Step-by-step explanation:

I just multiplied all of them. but wait till someone answers just go be sure

To find the perimeter you just have to add all the sides.

Perimeter= 15+9+7+3+8+6 = 48in

HELPPP!

Line segment DE is a midsegment of АВС. Find the value of x.

Answers

Step-by-step explanation:

The midsegment is half of the side side AC.

Half of 38=18

DE=19

⚠️⚠️⚠️⚠️HELP ME PLLEEAASEE⚠️⚠️⚠️⚠️⚠️

Answers

Answer:

240 feet

Step-by-step explanation:

i multiplied 6

inches and 40 feet.

A frisbee has a diameter of 7.5 inches. What is its area in terms of inches?

Answers

The area is 44.18 , hope this helps

I need awnsers people

Answers

Answer:

a) x <= 15 b) x > 16.5 c) x < 34.5 d) x =/= 23

Step-by-step explanation:

For a), there is a shaded region for where 15 is, and the number line is going towards the left, so x will be less than but also equal to 15

For b), there is not a shaded region for where 16.5 is, but the number line is going towards the right, so x will be greater than 16.5

For c), there is not a shaded region for where 34.5 is, but the number line is going towards the left, so x will be less than 34.5

For d), there is not a shaded region for where 23 is, but the number line is going everywhere else so it is x =/= 23(x does not equal to 23)

Solve using elimination.
-4x + 7y = -1
6x - 7y = 5

Answers

Answer:

(4,-1)

Step-by-step explanation:

x is 4 y is -1

Answer:

(2,1)

Step-by-step explanation:

Let's solve your system by elimination.

6x−7y = 5;−4x+7y=−1

6x−7y=5

−4x+7y=−1

Add these equations to eliminate y:

2x = 4

Then solve2x = 4for x:

2x = 4

(Divide both sides by 2)

x = 2

Now let's plug x in to solve for y.

6x - 7y = 5

6(2) - 7y = 5

12 - 7y = 5

subtract 12 on both sides.

-7y = -7

divide both sides by -1

y = 1

A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid is What is the height of the​ pyramid?

Answers

Answer:

9.48

Step-by-step explanation:

Complete question

A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the​ pyramid?

To get the height of the pyramid, we will use pythagoras theorem.

slant height l is the hypotenuse

length of the base is the adjacent

height of the pyramid is the opposite

According to the theorem;

l² = h² + b²

90.1² = h² + 89.6²

8,118.01 = h²+8,028.16

h²= 8,118.01 - 8,028.16

h² = 89.85

h =√89.85

h = 9.48

Hence the height of the pyramid will be 9.48

Note that the value of the slant height was assumed to solve the problem.

Simplify the expression

-2.3(-4p+1)-0.7

Answers

9.2p−3 Is the answer

Hoped I help :)

A robotics company sells robot vacuum cleaners. Since the newest model was introduced a while back, the old model has seen its sales fall by a consistent 20% per month. If 5,100 old vacuum cleaners were sold this month, how many will be sold 3 months from now? WILL GIVE BRAINLIEST!!

Answers

Read it again, and add 5,100 and 3 months

Can someone help me solve this please?

Answers

Answer:

54.6 units

Step-by-step explanation:

Tangents from an external point to a circle are congruent, then

top tangent = 9.2 × 2 = 18.4

Thus

perimeter = 18.4 + 18.5 + 17.7 = 54.6 units

The distance y in miles traveled by a car is 20 times the number of gallons x of gasoline used by the car. Write and graph a function that describes the relationship between x and y

Answers

Answer:

y=20x

Step-by-step explanation:

A student purchases a car for $12,500. The car loses its value at a rate of 20% per year. After how many years will the car's value fall below $5,000?

Answers

After 5 years it will fall below $5000.

Donna is putting down tile on her outdoor deck. The shape of her deck is shown below. Each unit on the coordinate plane represents 5 feet. Find the area of flooring needed in square feet.

Round your final answer to the nearest tenth.

Answers

The given area presented on the coordinate plane has dimensions

given by the lengths of the line joining the vertices.

Response:

The area of the flooring needed is 13.5 ft²

How can the area of the shape be calculated?

The given figure can be taken as a composite figure of wo triangles and

a trapezium.

Area of the triangle at the top, A₁ = 0.5 × 4.5 × 1 = 2.25

Area of the trapezoid, A₂ = 0.5 × (6 + 4.5) × 1 = 5.25

Area of the bottom triangle, A₃ = 0.5 × 2 × 6 = 6

Therefore;

Area of the figure, A = A₁ + A₂ + A₃

Which gives;

A = 2.25 + 5.25 + 6 = 13.5

Area of the flooring needed, A = 13.5 ft²

Learn more about composite figures here:

https://brainly.com/question/12114614

A bag of marbles contains 3 yellow marbles, 4 blue marbles, akd 8 orange marbles. Which of the following is true of
selecting a green marble? Select all that apply.

Answers

Answer:

B. This event will not happen.

C. The probability is 0.

Step-by-step explanation:

Only B and C can be answers because there are no green marbles so how can you select a green marble when there aren't any. The probility is 0 which means never going to happen.

I need help on this math questions please. ​

Answers

Answer:

(a)

perimeter = 2 + 8 + 4 + 7x + 4x

(b)

perimeter = 11x + 14

Find the value of x.

Answers

Answer:

[tex]\boxed {\boxed {\sf A. \ 18}}[/tex]

Step-by-step explanation:

The two angles are inside a right angle. The small box signifies a right angle/ 90° angle.

Therefore, the sum of the angle measures must equal 90. We can set up an equation.

[tex]56+(x+16)=90[/tex]

Combine the like terms on the right side. The 2 constants: 56 and 16 can be added.

[tex](56+16)+x=90\\[/tex]

[tex]72+x=90[/tex]

Since we are solving for x, we must isolate the variable. 72 and x are being added. The inverse of addition is subtraction, so subtract 72 from both sides.

[tex]72-72+x=90-72[/tex]

[tex]x=18[/tex]

x is equal to 18 and choice A is correct.

Select the correct answer.
Simplify the following expression.
12a3865
9a284c5
OA 4ab2
OB. 9ab2
OC. 4a62c
OD. 9ab2c

Answers

4ab^2
First, you divide 12 by 3, giving you 4.
Then you divide a^3 by a^2, which is basically just subtracting the exponents, giving you a. Do the same with the rest of the variables. That’s how you get 4ab^2.

A wheel of radius 10 cm is turning at a rate of 5 revolutions Calculate: the distance moved by a point on the rim in 2 seconds

Answers

Answer:

15°

Step-by-step explanation:

Angular velocity= 5rev/ min

= 10π/ min

But 1 min= 60 secs

= Angle turned/ 2secs

= 10π/(60×2)

= π/12 × 180/π= 15°

=

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