Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?

Answer:

a = 10

Step-by-step explanation:

Supplementary angles sum to 180° , so

150 + 3a = 180 ( subtract 150 from both sides )

3a = 30 ( divide both sides by 3 )

a = 10

Answer:

[tex]55[/tex]

Step-by-step explanation:

We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].

Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:

[tex]B\geq A[/tex]

This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.

Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:

[tex]0B,\\01, 02, 03,...[/tex]

Therefore, there are 10 possible telephone numbers when the tens digit is 0.

Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.

This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].

The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.

Since there are 10 cases (0-9), add up the possible telephone numbers for each case:

[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]

Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:

[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]

B

Step-by-step explanation:

Might be wrong

Answer:

24

Step-by-step explanation:

Since the triangles are similar the side lengths must be proportional

2/12 = 4/PQ cross multiply expressions

2PQ = 48 divide both sides by 2

PQ = 24

Answer:

159319.26 I Don't know the interest

Answer:

s^7 + 3

Step-by-step explanation:

Brainliest, please!

Answer:

1a. 128

1b. 81

1c. 64

1d. 25

1e. 343

1f. 100000

1g. 64

1h. 0

1i. 13

1j. 1

2a. 243

2b. 64

2c. 36

2d. 625

2e. 1331

2f. 10000000

2g. 81

2h. 0

2i. 17

2j. 1

Answer:

6

BRAINLIEST, PLEASE!

Step-by-step explanation:

-19p - 2p + 16p + 12 = -18

-5p + 12 = -18

-5p = -30

p = 6

Answer:

p = 6

Step-by-step explanation:

Given

- 19p - 2p + 16p + 12 = - 18 ( simplify left side )

- 5p + 12 = - 18 ( subtract 12 from both sides )

- 5p = - 30 ( divide both sides by - 5 )

p = 6

23÷34÷32÷43

= 0.0001558519

Must click thanks and mark brainliest

Answer:

7 to the 11th power

Step-by-step explanation:

7⁶×7⁵=7¹¹

because a¹×a¹=a¹+¹

Answer:

[tex]n = 11[/tex]

Step-by-step explanation:

We are given two arithmetic sequences:

7, 12, 17, 22... and 27, 30, 33, 36...

And we want to determine n such that the nth term of each sequence is equivalent.

We can write a direct formula for each sequence. Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n = a + d(n-1)[/tex]

Where a is the initial term and d is the common difference.

The first sequence has an initial term of 7 and a common difference of 5. Hence:

[tex]\displaystyle x_n = 7 + 5(n-1)[/tex]

The second sequence has an initial term of 27 and a common difference of 3. Hence:

[tex]x_n = 27 + 3(n-1)[/tex]

Set the two equations equal to each other:

[tex]7 + 5 (n-1) = 27 + 3(n-1)[/tex]

Solve for n. Distribute:

[tex]7 + (5n - 5) = 27 + (3n - 3)[/tex]

Combine like terms:

[tex]5n + 2 = 3n + 24[/tex]

Isolate:

[tex]2n = 22[/tex]

Divide. Hence:

[tex]n = 11[/tex]

In conclusion, the 11th term of the first A.P. is equivalent to the 11th term of the second.

Answer:[tex]x^{2} -1[/tex]

Step-by-step explanation:

Given :[tex]g(x)=x^{3} +2x^{2} -x-2[/tex]

Factor x+2,x=-2

Using synthesis division:

-2 )  1 2   -1  -2

        -2    0   2

      1  0   -1   0

[tex]x^{2} +0x-1[/tex]

Yes,  x = -2 is a zero of the polynomial.

Given that,

The function g(x) = x³ + 2x² - x - 2 is divided by (x + 2)

Now apply the synthetic division to show that x = -2 is a zero of the polynomial.

When we divide by using synthetic division as shown in the attached image.

Remainder = 0

Hence, this shows that x = -2 is a zero of the polynomial.

Therefore, x = -2 is a zero of the polynomial.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ4

15^2 = x^2 + 11^2

225 = x^2 + 121

Subtract both sides 121

225 - 121 = x^2 + 121 - 121

104 = x^2

x = √104

x = √4 × 26

x = √4 × √26

x = 2 × √26

x = 2 √26

Answer:

They are not similar.

To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.

Those triangles possess right angles as you can see the little square thingie in the corners.

Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.

There are 180 degrees in a triangle, so 180 - 120 = 60.

Therefore, the unknown angle is 60.

A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.

The other triangle has a 55 degree angle which is not on the first, so they must not be similar.

Pls brainly dont delete this link, its useful.

https://blog.prepscholar.com/30-60-90-triangle-ratio-formula

This helps you understand the special triangles.

You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.

Step-by-step explanation:

The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]

Option C [tex]Ratio =\frac{9}{3X3}[/tex]

Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Given :

Nine people fit comfortably in a 3 ft. by 3 ft. area

To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well

Ratio = number of people / total area

[tex]Raio=\frac{9}{3X3}[/tex]

To find the size of the crowd , convert yards into feet and mile into feet

1 yard = 3 miles

8 yards= 3 times 8 = 24 feet

1 mile = 5280 feet

Now we find the area in feet

[tex]24 \cdot 5280[/tex]

size of the crowd=ratio times the area in feet

[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Learn more : brainly.com/question/24367786

Step-by-step explanation:

1)1/2,1/5 and 0

2)In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer

Answer:

48 cm²

Step-by-step explanation:

A(Triangle) = 1/2bh

A(Triangle) = 1/2(12)(8) = 48 cm²

Answer:

area of triangle = 1/2 * b* h

=1/2 ×12 ×8

=48 cm^2

Answer:

-2/5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

3(6*3*2)

Answer:

L x W x H is the formula to solving this problem.

It looks like 6 is the length, 3 is the width and 2 is the height!

6 x 3 x 2 = 36

BUT WAIT!

It seems like the 2 is on one of the tissues, if it isn't 36, the other answer is definitely something else...

2 + 2 + 2 = 6

6 x 3 x 6 = 108!

_ _ _ _ _

The answers could either be 36 or 108!

Answer:

864 ft³ is the volume

Step-by-step explanation:

Volume = width · height · length

= 12 · 9 · 8

= 864

Answer:

Step-by-step explanation:

Volume of rectangular solid = length * width * height

                                              = 9 * 12 * 8

                                              = 864 ft³

Answer:

a = -24

Step-by-step explanation:

[tex]30=26-\frac{a}{6}\\(6)4=-\frac{a}{6}(6)\\24=-a\\-24=a[/tex]

Answer:

-24 = a

Step-by-step explanation:

30 - 26 - a/6

Subtract 26 from each side

30 -26 = 26 - a/6 - 26

4 = -a/6

Multiply by -6 on each side

-6 *4 = -a/6 *-6

-24 = a

Answer:

$65

Step-by-step explanation:

Let x represent the cost of the hat.

Since the pants cost $10 more than the hat, the cost can be represented by x + 10.

Since the sweater cost $10 more than the pants, the cost can be represented by x + 20.

Create an equation adding these all together and setting it equal to 225, then solve for x:

(x) + (x + 10) + (x + 20) = 225

3x + 30 = 225

3x = 195

x = 65

So, the hat cost $65

Answer:

-15+6d

Step-by-step explanation:

The common difference of the sequence is -3+9=6

The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d

Answer:

General Equation of a Line

[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

Answer:

3rd graph

Step-by-step explanation:

Answer:

it depends on the equation thats given

Step-by-step explanation:

you put the value of x in the brackets and then solve it so that u get the coordinates of y, then u can put the point on whichever values u get for x and y and continue like that until you get all the points (you can join them if the question asks)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

√2 ≈ 1.414 ≈ 1.4 +0.1(1/7)

The dot will be about 1/7 of the way between 1.4 and 1.5.

Answer:

Step-by-step explanation:

1^2 = 1       This one is impossible. The digits have to be different.

2^2 = 4

3^2 = 9

so the first two digits can either be

4 and 2

9 and 3

The third clue is the one that decides. The third digit is odd and and 1 more than twice the second

The third digit can be 2 * 2 + 1 = 5 or 2*3 + 1 = 7. There is no way to choose between them.

So the answer is either 425 or 937. We cannot decide which. If there is another clue that will break the log jam, post it and I'll come back.

These are the only two answers possible. If the second digit is more than 3 then the first digit is no longer a single digit. It is more than 9.

Hi there!  

»»————-　★　————-««

I believe your answer is:

3

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.