When a two-digit number is divided by 5 the remainder is 2. Which of the following statements must be true about the two-digit number?

A. The sum of all the digits is odd
B. The digit in the one's place is odd
C. The number is prime
D. The number is odd
E. The digit in the one's place is prime​

Answer:

the answer is D.

Step-by-step explanation:

Answer:

1) 6

2) 5

3) 3

Step-by-step explanation:

36 ÷ 6 = 6

25 ÷ 5 = 5

9 ÷ 3 = 3

The 3rd gardener was fastest it took him 3 minutes per bush

Answer:

Time taken per bush for the first gardener:36/6=6minutes

Time taken per bush for the second gardener:25/5=5minutes

Time taken per bush for the third gardener:9/3=3minutes

Third gardener trimmed bushes fastest.

Answer:

f(x) = (x - 10) (x + 10)

Step-by-step explanation:

The equation looks like the difference of squares so 5 and 20 are out

-10 x -10 = 100

-10 x 10 = - 100

so (x - 10) (x + 10)

Answer: 44

Step-by-step explanation:

I'm positive this is right! Have a good day! Hope this helps! Please give brainliest, i would help a lot if you did, but its fine if you don't Just have a good rest of the day!

The number of liters of fuel required for the vehicle to travel 1, 428 kilometers is 5. 67

Inverse variation can be defined as the relationship between two variables, so that if the value of one of the variable increases the value of the other variable decreases.

Example: If a varies inversely as b

This can be represented as;

a ∝ 1/b

Then,

ab = k

Where k is the proportionality constant

From the information given, we have that;

x ∝ 1/ y

Then,

xy = k

Substitute the values

476 (17) = k

k = 8092

If x = 1428 and k = 8092

Let's determine the value of y

y = k/x

y = 8092/1428

y = 5. 67 liters

Hence, the value is 5. 67 liters

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A true conditional statement consists of a hypothesis and a conclusion, where the conclusion logically follows from the hypothesis. In order for a conditional statement to be true, both the hypothesis and the conclusion must be true.

Here is an example of a true conditional statement with a correctly identified hypothesis and conclusion:

"If it is raining, then the ground is wet."

Hypothesis: "It is raining."
Conclusion: "The ground is wet."

In this example, the hypothesis is the condition that must be true for the conclusion to be true. If it is indeed raining, then it follows logically that the ground would be wet. Therefore, this conditional statement is true.

It's important to note that not all conditional statements are true. For example, the statement "If it is raining, then the ground is dry" would be false, as it contradicts the logical connection between rain and a wet ground.

In summary, a true conditional statement includes a correctly identified hypothesis and conclusion, where the conclusion logically follows from the hypothesis.

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Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

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Therefore , the solution of the given problem of expressions comes out to be  students can develop their factoring abilities and avoid mistakes with practise and instruction.

Estimates that combine joining, disabling, and rather than randomly divide should be produced when variables are shifting. If they got together, they could solve a mental puzzle, provide some data, and instead software. A declaration of truth contains formulas, components, and mathematical processes like combination, subtraction, omission, and grouping. Both phrases and words can be assessed and analysed.

Here,

are some pointers to assist students B and C prevent incorrect factoring in the future:

Regularly practise factoring: Since factoring is a talent that must be honed, students should make sure to factor problems frequently. They will be better able to understand the procedure and spot trends in the expressions they are factoring as a result of this.

Verify the indications again because they are prone to error when factoring. Students should double-check their distribution of the signs and make sure no negative indicators are being left out.

Students should double-check their work by multiplying the factors back together after factoring an equation. They'll be able to correct any errors they may have made thanks to this.

If students need assistance with factoring, they should ask an instructor or tutor for assistance. Although factoring can be a challenging ability to master, students can develop their factoring abilities and avoid mistakes with practise and instruction.

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The solution to the equation 9(b - 2) = -7 + 0 is b = 11/9.

Given the equation in the question:

9( b - 2 ) = -7 + 0

To solve the equation, first apply distributive property to remove the poarenthesis:

9( b - 2 ) = -7 + 0

9×b + 9×-2 = -7 + 0

9b - 18 = -7 + 0

Next, we simplify the right side of the equation:

9b - 18 = -7

To isolate the variable 'b,' we need to get rid of the constant term (-18) on the left side. We can do this by adding 18 to both sides of the equation:

9b - 18 + 18 = -7 + 18

Simplifying further:

9b = -7 + 18

Add -7 and 18

9b = 11

Now, we want to solve for 'b,' so we divide both sides of the equation by 9:

9b/9 = 11/9

b = 11/9

Therefore, the value of b is 11/9.

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The value of the linear equation is 1.2

A linear equation is an algebraic equation for a straight line, where the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0, where x is a variable, A is a coefficient, and B is a constant

The given equation is 9(b-2) = -7 + 0

Opening the brackets we have

9b -18 = -7 + 0

Collecting like terms

9b = -7+18

9b = 11

Dividing both sides by 9 we have

b = 11/9

b = 1.2

Therefore the value of b is 1.2

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Answer:   \(\frac{10}{100}\)× 100

Step-by-step explanation:

Answer:

10/100 = 10%

Step-by-step explanation:

10/100 = 0.1

0.1 * 100 = 10%

Answer:

\(227 \frac{1}{16} \)

Step-by-step explanation:

\(15 \frac{3}{4} \times (7 \frac{3}{4} + 6 \frac{2}{3} ) \)

\( = \frac{63}{4} \times ( \frac{31}{4} + \frac{20}{3} )\)

\( = \frac{63}{4} \times ( \frac{93}{12} + \frac{80}{12} )\)

\( = \frac{63}{4} \times \frac{173}{12} \)

\( = 227\frac{1}{16} \)

Response 1, x^2 - 3x - 10 = 0, is the equation equivalent to the given equation x^2 - 3x = 10

The equation you provided is x^2 - 3x = 10. To find the equivalent equation among the given responses, we need to set the equation to 0. Here's how:
1. Subtract 10 from both sides of the equation:
x^2 - 3x - 10 = 0
Now let's compare this with the given responses:
1. x^2 - 3x - 10 = 0 (Matches the equation we derived)
2. 7x - 10 = 0 (Different equation)
3. x = -5 (Not an equation equivalent to the original)
4. x^2 - 3x + 10 = 0 (Different equation)
Your answer: Response 1, x^2 - 3x - 10 = 0, is the equation equivalent to the given equation x^2 - 3x = 10.

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Answer:

4 years

Step-by-step explanation:

65+12x= 113

12x=113-65

x = 48/12=4

If 90 pens with black ink were ordered, the total number of pens ordered would be 216.

To solve this problem, we need to find the ratio between the total number of pens and the number of pens with black ink. We can then use this ratio to determine the total number of pens when given the number of pens with black ink.

Let's calculate the ratio for the first set of data:

Ratio = (Pens with Black Ink) / (Total Pens) = 60 / 144

We can simplify this ratio by dividing both the numerator and denominator by their greatest common divisor, which is 12:

Ratio = 5 / 12

Now, we can use this ratio to find the total number of pens when 90 pens with black ink are ordered:

Total Pens = (Pens with Black Ink) / Ratio = 90 / (5 / 12)

Dividing 90 by 5/12 is the same as multiplying 90 by the reciprocal of 5/12:

Total Pens = 90 * (12 / 5) = 216

Therefore, if 90 pens with black ink were ordered, the total number of pens ordered would be 216.

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Answer:

D

Step-by-step explanation:

The number of months in two years is 24 months.

Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600

Now, $8,000 was borrowed but $9,600 was returned

The amount of interest is 9600-8000 = 1600

So what percentage of 8,000 is 1600?

1600/8000 * 100 = 16/80 * 100 = 1/5 * 100 = 20%

Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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The rotation rule used in this problem is given as follows:

90º counterclockwise rotation.

The five more known rotation rules are given as follows:

The equivalent vertices for this problem are given as follows:

Hence the rule is given as follows:

(x,y) -> (-y,x).

Which is a 90º counterclockwise rotation.

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Answer:

Not only that, some of them have even had hair, eyes, and hands! The average mouth produces over 25,000 quarts of saliva, which helps protect your mouth from germs, over a lifetime – enough to fill two swimming pools!

Step-by-step explanation:

Answer:

two hundred pools worth of saliva

Step-by-step explanation:

I need the size of each pool, so this is the answer you are asking for based off of what u said

Answer:

<

Step-by-step explanation:

-7.56 < -5.76

Answer:

1/6 = 0.1667

Step-by-step explanation:

sample space = 6

the probability of rolling a number equal to 1 = 1/6

Answer:

Step-by-step explanation:

The bank paid for somthing for David. Now Davids Bank Account is in the negitve of $52. Now he owes the bank money.

if you take how much money david had

and subtact it with 95 it will equal up to $-52

________________________________________________________

Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

Answer: A. yes, closed and lines are straight B. No, curved lines C. no, curved lines D. yes, closed have lines are straight E. yes, closed have lines are straight  E. yes, closed and lines are straight F. No, curved lines G. yes, closed and lines are straight H. yes, closed and lines are straight

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

i took the test :)

Answer:

About 25.13

Step-by-step explanation:

circumference equation: 2pi(r)

2pi(4) = 25.13

Answer:

57.78 km/hr

Step-by-step explanation:

Total time taken, t = 6 hours

Total distance covered, d = 520 km

Distance by car = 260

Distance by train = 520 - 260 = 260 km

Train speed = x

Car speed = 2x

Average speed speed = 3x /2

Speed = distance / time

1.5x = 520 / 6

9x = 520

x = 520 / 9

x = 57.777

Average speed of train = 57.78 km/hr

Answer:

57.78

Step-by-step explanation:

Answer:

Step-by-step explanation:

Problem One

(n - 2)*180 means that you take the number of sides and subtract 2. Then you multiply by 180. Read this next part carefully. What you have is the number of degrees that the quadrilateral equals for its interior angles.

The total of the interior angles = (4 - 2)*180

The total of the interior angles = 2 * 180

The total of the interior angles = 360

90 + 90 + 4x + 14 + 5x + 23 = 360      Collect the like terms

9x + 217 = 360                                      Subtract 217 from both sides

9x = 143                                                 Divide by 9  

x = 15.89

Two

You are now trying to find the sum of the interior angles of a hexagon.

(n - 2)*180/6 = (6 - 2)*180/6 = 4 * 30 = 120

This is a little different. What you have found is 1 angle of a regular hexagon. It is 120 degrees.

6x - 26 = 120           Add 26 to both sides

6x = 120+26             Combine    

6x = 146                   Divide by 6

x = 146/6

x = 23.333333

The solution to the given system of differential equations by systematic elimination is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂, where C₁ and C₂ are constants.

To solve the system of differential equations dx/dt = -yt and dy/dt = x - t, we can use systematic elimination. We'll start by isolating y in the first equation and substituting it into the second equation.

From the first equation, we have y = -dx/dt. Substituting this into the second equation, we get dy/dt = x - t, which becomes -d²x/dt² = x - t after differentiating.

Now, we have a second-order differential equation in terms of x. To solve it, we can assume a particular solution of the form x = At + B, where A and B are constants. Substituting this into the differential equation, we get -A = At + B - t. Equating the coefficients of t on both sides, we have A = -1 and B = 0.

Thus, the particular solution is x = -t. Now, integrating dx/dt = -yt, we get x = -yt + C₁, where C₁ is a constant of integration.

Finally, substituting this x into the particular solution x = -t, we get -t = -yt + C₁. Solving for y, we obtain y = t²/2 + C₁t + C₂, where C₂ is another constant of integration.

Therefore, the solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂, where C₁ and C₂ are constants.

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Answer:

~18.28 ft. / 12 + 2π ft. (Read explanation please!)

Step-by-step explanation:

I) Find the square's perimeter:

Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:

4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)

II) Find the semicircle's perimeter:

Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:

πr + 2r (pi x radius + radius x 2)

But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:

πr (pi x radius)

In terms of π, the perimeter would be:

2π = 2π ft.

Or, if you used a standard approximation of π, let's say 3.14, it would be:

2(3.14) = ~6.28 ft.

III) Add them up:

If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:

2(3.14) + 4(3) = 18.28 ft.

Or in terms of π:

2π + 4(3) = 12 + 2π ft.

Answer:

There are 8 granola bars in a pack and 12 fruit rolls in a pack.

Step-by-step explanation:

10x+6y=152

5x+3y=76

7x+12y=200

-20x-12y=-304

-13x=-104

x=8

40+3y=76

3y=36

y=12