Which side lengths form a right triangle

Answer:

18

Step-by-step explanation:

⅓g + 6 = 12

⅓g       =  6     Subtracted 6 from each side

   g      = 18     Multiplied each side by 3

18 games remain in the season.

Check:

⅓ × 18 + 6 = 12

   6     + 6 = 12

           12 = 12

Answer:

376 square centimeters

Step-by-step explanation:

When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.

The surface area of a rectangular prism is given by : [tex]2(lw+wh+lh)[/tex]

Where l is length, w is width, and h is height

Plugging in the new values we get:

[tex]2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376[/tex]

The surface area of the enlarged prism = 376 cm^2

Answer: 376 cm²

Step-by-step explanation:

If the dimensions are doubled then:

length=10cm

width=8cm

height=6cm

You must apply the formula for calculate the surface area of a rectangular prism, whih is shown below:

[tex]SA=2(wl+lh+hw)[/tex]

Where l is the length, w is the width and h is the height.

WHen you substitute values, you obtain the following result:

[tex]SA=2[(8cm*10cm)+(10cm)(6cm)+(6cm)(8cm)][/tex]

[tex]SA=376cm^2[/tex]

Answer:  [tex]\bold{\bigg(\dfrac{1}{2},2\dfrac{1}{2}\bigg)}\qquad \implies \qquad \bold{\bigg(\dfrac{1}{2},\dfrac{5}{2}\bigg)}[/tex]

Step-by-step explanation:

y = x + 2       x + y = 3

Solve using Substitution Method by replacing y with x + 2:

                    x + (x + 2) = 3

                         2x + 2 = 3

                         2x       = 1

                           x        = [tex]\dfrac{1}{2}[/tex]

Next, replace x with 1/2 in one of the original equations and solve for y:

y = x + 2

  = [tex]\dfrac{1}{2}[/tex] + 2

  = [tex]2\dfrac{1}{2}[/tex]

Answer:

x = 1/2

y = 5/2

Step-by-step explanation:

So we're gonna use the elimination method, by eliminating one of x or y to find the value of the other one.

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

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

In (1), x is in LHS and y is in RHS. To make things simpler, we take both x and y to the same side.

y           = x + 2

y - x      = x + 2 - x ( take x to the other side)

y - x      = 2-------------------------(3)

Note that in (2), x is positive and in (3), x is negative. So by adding these two, we can single out y because +x and -x cancels out. So we can eliminate x.

(3) +  (1) : (x+y) + (y- x) = 3 + 2

              2y                 = 5

              y                   = 5/2

Substituting y = 5/2 for (1),

5/2 - x  = 2

5/2       = 2 + x

5/2 - 4/2 = x

x   = 1/2

∴ x = 1/2

  y = 5/2

Hope i helped you :)

Answer:

-2

Step-by-step explanation:

8-(-2) = 8 + 2 = 10

7 - 12 = -5

10 / -5 = -2

Answer:

the second one

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.

Thus from the figure,

we can deduce that:

8×3=6×x

collecting the like terms together we get:

24=6x

x=4

Answer:

x =4

Step-by-step explanation:

Refer the attached figure:

We will use Intersecting secants theorem

Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e. [tex]a\times b = c \times d[/tex](refer the attached figure)

So, using this theorem

[tex]x \times 6 = 3 \times 8[/tex]

[tex]x = \frac{24}{6}[/tex]

[tex]x = 4[/tex]

Hence the value of x is 4.

The amount of interest earned is $11908 and the total amount is $21248.

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

Given that 9340.00 is invested into an account that earns 8.5% simple interest for 15 years.

The simple interest will be calculated by the formula below,

Simple interest = ( P x R x T ) / 100

Simple interest = ( 9340 x 8.5 x 15 ) / 100

Simple interest = $11908.5

The total amount will be,

Amount = $11908.5 + $9340

Amount = $21248.5

To know more about simple interests follow

https://brainly.com/question/25793394

#SPJ2

The simple interest earned on an investment of $9340.00 at a rate of 8.5% over 15 years is $11919.00. The total amount in the account after 15 years is $21259.00.

To calculate the simple interest earned on an investment, you can use the formula I = P ×  r × t, where I is the interest, P is the principal amount, r is the interest rate (in decimal form), and t is the time in years . In this case:

r (Interest Rate) = 8.5% or 0.085 (since 8 1/2% is the same as 8.5%)

t (Time) = 15 years

Using the formula:

I = $9340.00  ×  0.085 ×  15 = $11919.00

The total simple interest earned over 15 years would be $11919.00. To find the total amount in the account after 15 years, we add this interest to the original principal:

Total = Principal Amount + Interest

Total = $9340.00 + $11919.00 = $21259.00

Therefore, the total in the account after 15 years will be $21259.00.

Answer:

[tex]\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}[/tex]

Step-by-step explanation:

"one over threep + 15":

[tex]\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}[/tex]

Answer:

70%

Step-by-step explanation:

1. divide the number of games won (33) by the total number of games (47)

    33/47 = 0.702

2. Move the decimal two places to the right = 70.2%

3. round down to 70%

Final answer:

The soccer team won 70% of its games after calculating the fraction of games won, converting it to a decimal, then to a percent, and finally rounding to the nearest whole number.

Explanation:

To calculate the percent of games won by the soccer team, we divide the number of games won by the total number of games played and then multiply by 100 to convert the fraction to a percentage.

Step 1: Find the fraction of games won: 33 (games won) ÷ 47 (total games).

Step 2: Convert the fraction to a decimal: 33 ÷ 47 = 0.7021.

Step 3: Convert the decimal to a percent: 0.7021 × 100 = 70.21%.

Step 4: Round to the nearest whole number: 70.21% rounded to the nearest whole number is 70%.

Therefore, the soccer team won 70% of its games.

C. Surface area and volume use the same unit of measurement

Answer:

The answer is C.

Step-by-step explanation:

No idea for the Step-by-Step explanation

1.50 acres is the answer.

Final answer:

The mowing rate is 1.5 acres per hour

Explanation:

To find the rate at which a person can mow in acres per hour, we need to use the data provided that a person can mow 0.75 acres in ½ hour. To convert this to a rate in acres per hour, we divide the acres mowed by the hours it took to mow them:

To find the rate at which the person can mow, we need to divide the number of acres mowed by the time taken. In this case, the person can mow 0.75 acres in 1/2 hour.

So, the rate at which the person can mow is 1.5 acres per hour

Rate (in acres per hour) = Acres mowed / Hours taken = 0.75 acres / 0.5 hours = 1.5 acres per hour

Thus, the person can mow at a rate of 1.5 acres per hour.

Answer:

Rational number

Step-by-step explanation:

A rational number is one which can be expressed in the form

[tex]\frac{a}{b}[/tex] where a and b are integers

- 3 can be expressed as [tex]\frac{-3}{1}[/tex] -3 and 1 are integers

Hence - 3 is a rational number

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷2x-5=7

First, we need to add 5 on both sides, so the -5 cancels out.

2x=12

Next, we divide 2 on both sides to isolate x.

x=6

Final answer:

x=6

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

The Answer is 6 Or x = 6

Step-by-step explanation:

Solve for x for the equation 2x-5=7

1) Add 5 on both side

2x =12

2) divide 2 on both side

12/2=6

x=6

Hopes this help!

Answer:A,C

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

Here, m  is the x-value (the independent variable).

The month number m is an integer, so the appropriate number type for the domain of r is integer.

The month numbers run from 1 to 12, inclusive, so the appropriate domain is 1 ≤ m ≤ 12.

Answer:

He add $5 more each month

Step-by-step explanation:

* Lets consider this problem as an arithmetic sequence because

 he add every month x dollars more

∵ He start with 50 dollars ⇒ a (1st amount)

∵ He add x dollars every month ⇒ d

∵ He did that for 36 months ⇒ n

∵ He saved 4950 dollars  ⇒ Sn

∵ Sn = n/2[2a + (n - 1)d]

* Where Sn is the total money after n months

 a is the first amount he saved

 d is the money he add more each month

∴ 4950 = 36/2[2(50) + (36 - 1)(x)]

∴ 4950 = 18[100 + 35x]

∴ 4950/18 = 100 + 35x

∴ 35x = 275 - 100 = 175

∴ x = 175/35 = 5 dollars

Answer:

Mike added $5 more each month.

Step-by-step explanation:

We are given that Mike started saving money by putting $50 aside. Each month, he adds more money than the previous month and so by the end of 36 months, he saved $4950.

Assuming this to be an arithmetic sequence:

[tex]S_n = \frac{n}{2} (2a+(n-1)d)[/tex]

where [tex]S_n=4950[/tex], [tex]n=36[/tex], [tex]a=50[/tex] and [tex]d= x[/tex].

Substituting the given values in the above formula to find how much more money does he add each month.

[tex]4950 = \frac{36}{2} (2 \times 50+(36-1)d)[/tex]

[tex]4950=1800+630x[/tex]

[tex]x=\frac{3150}{630}[/tex]

[tex]x=5[/tex]

Therefore, Mike added $5 more each month.

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the graph we have the points A(6, 2) and B(0, 10). Substitute:

[tex]AB=\sqrt{(0-6)^2+(10-2)^2}=\sqrt{(-6)^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]

The length is D. 10

√ (x2 - x1)^2 + (y2 - y1)^2

√ (0-6)^2 + (10 - 2)^2

√ (-6)^2 + (8)^2

√ 36 + 64

√ 100 = 10

Answer:

r = 2 [stream's speed is 2 mph downstream

Step-by-step explanation:

Remark

The distances traveled [upstream and downstream] are the same.

If it takes longer to go upstream, it means the speed of the current is going against him. So the rate is 38 - r where r is the speed of the current.

The rate of the downstream is 38 + r because it takes him less time to go downstream and the current is helping him go.

The times are given

Givens

Formula

d1 = d2

d1 = (38 - r) * 30

d2 = (38 + r) *27

(38 - r) * 30 = (38+r)*27

Solution

Remove the brackets on both sides.

38*30 - 30*r = 38*27 + 27r                    Add 30r to both sides

38*30 - 30r + 30r =38*27 + 27r + 30r  Combine the numbers

1140 = 1026 + 57r                                   Subtract 1026 from both sides.

114 = 57r                                                  Divide by 57

114/57 = 57r/57

r = 2

Answer:

x-12(+4)

Step-by-step explanation:

7x+4x=11x+1x=12x +4.

Answer:

D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Step-by-step explanation:

We know that Urvi solved a fraction division problem using the rule “multiply by the reciprocal.”

According to this rule, “multiply by the reciprocal”, we need to take the reciprocal of the divisor (denominator) and multiply with the dividend in its original form.

Looking at the calculations made by Urvi, we can see that she took the reciprocal of the dividend and not the divisor.

Therefore, the correct answer option is D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answer: it d

Step-by-step explanation:

Because the the the answer is the letter D

Answer:

(x/4)   -4

Step-by-step explanation:

quotient means divide

quotient of a number x and 4.​

x/4

four less than

x/4   -4

Answer:

This can be written as x/4 - 4

Step-by-step explanation:

To find this, note that quotient denotes a division problem. Then we subtract 4, since it starts with four less than,

Answer:

C, 4 kilogram bags.

Step-by-step explanation:

All you have to do for this is divide the price by the kilograms. I did this for every one and the lowest cost per kilogram was C, $4.60.

Mark brainliest if you can plz!

Answer:

The answer is C for sure

Step-by-step explanation:

I would say the answer is C.  What are the checking account balances of the shoppers in a grocery store?

Hope this helps!

Answer: The correct answer is choice D.

Step-by-step explanation: In order to answer this question you need to calculate the volume of each of the cubes.

Cube A has a side which is 3 meters, so the volume = 3 x 3 x 3 = 27

Cub B has a side which is 6 meters, so the volume = 6 x 6 x 6 = 216

216/27 = 8. Therefore, the volume of cube B is 8 times the volume of cube a.

The volume of cube A is 27 cubic meters and the volume of cube B is 216 cubic meters. Cube B's volume is 8 times greater than cube A's. The correct answer is option D)

The volume of a cube is calculated by cubing the length of its side. So, the volume of cube A is 3 meters x 3 meters x 3 meters = 27 cubic meters. The volume of cube B is 6 meters x 6 meters x 6 meters = 216 cubic meters. Comparing the volumes, cube B's volume is 216/27 = 8 times greater than the volume of cube A. Therefore, the statement that accurately represents the relationship between the two volumes is option D) The volume of cube B is 8 times the volume of cube A.

https://brainly.com/question/31600527

#SPJ2

Answer:

-25

Step-by-step explanation:

You use the PEMDAS order of operations to find this out

So first you do exponents

-1^3 is positive

so you then rewrite the equation as 3*4(-2)-1

Then you multiply and divide

12(-2)

That equals -24

Then you add the remaining

-24+-1= -25

The answer is: A square.

The quadrilateral is a square since:

- It has four right angles, squares have four right angles (90°), giving a total of 360° if you sum all of them.

- It has four equal sides, squares have four sides of equal length.

- It has two pairs of opposite sides that are parallel, if we look for a side of a square, we will find an opposite side which is parallel, so, squares have two pairs of opposite sides that are parallel.

Have a nice day!

The correct answer is 9>n since it doesn't say greater than or equal to, we can cross out the 2 and that leaves us with 9<n and 9>n but it actually says 9 is more than a number so that leaves us with 9>n

Answer:

[tex]\large\boxed{y=a(x+8)(x+1)(x-3)}[/tex]

Step-by-step explanation:

[tex]\text{Factored form:}\\\\y=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1,\ x_2,\ x_3-zeros\\\\\text{We have}\ x_1=-8,\ x_2=-1\ \text{and}\ x_3=3.\ \text{Substitute:}\\\\y=a(x-(-8))(x-(-1))(x-3)\\\\y=a(x+8)(x+1)(x-3)\\\\\text{Where}\ a\neq0\ (\text{any real number except 0})[/tex]

Answer:

C: feature

that is the correct answer

Answer:

Final answer is 1/3.

Step-by-step explanation:

Question says that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. After that  she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

As she used 5/9 of the tomatoes to make pasta sauce.

Now remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

Answer:

5

2

2

Step-by-step explanation:

Given in the question the polynomial

x^5 - 9x^4 + 13x³ + 57x² - 86x - 120

has total of 5 zeroes

Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order.

maximum of 2 positive real roots

Using Descartes' Rule of Signs

x^5 - 9x^4 + 13x³ + 57x² - 86x - 120

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

          1                        2

There are 2 sign changes in the positive-root case. This number 2 is the maximum possible number of positive zeroes.

maximum of 2 negative real roots

Using Descartes' Rule of Signs

When f (–x), we have

- x^5 - 9x^4 - 13x³ + 57x² + 86x - 120

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

                         1                    2

number of sign changes = 2