10 − 3(2a − 1) = 3a + 1

Answer:

$68.25

Step-by-step explanation:

To get the sales tax, you must notice that the sales tax is 7% of 975.

That is equal to:

975 × 0.07

0.07 is equal to 7%, or [tex]\frac{7}{100}[/tex].

The answer to the equation is 68.25.

Step-by-step explanation:

This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{17}[/tex] , then

? = [tex]tan^{-1}[/tex] ([tex]\frac{18}{17}[/tex] ) ≈ 47° ( to the nearest degree )

Answer:

89.2 in^2

Step-by-step explanation:

1/2(15.7+6.6)(8)

=89.2 in^2

Answer:

A = 89.2 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 8, b₁ = 6.6, b₂ = 15.7 , then

A = [tex]\frac{1}{2}[/tex] × 8 × (6.6 + 15.7) = 4 × 22.3 = 89.2 in²

Answer:

whats the question sir

Step-by-step explanation:

can you show me it like type it for me

Answer:

Step-by-step explanation:

3===o===2=======1========0========-1=======x-2

I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.

Ben should be right at -2 where the x is.

Answer:

1.12 Units

Step-by-step explanation:

1. Use cos(56°) = x/2

Make sure your calculator mode is in deg (degree) not rad(radians)

2.  2(cos(56°)) = x

3. x = 1.118385807

4. Round up to get 1.12 Units

Answer:

18

Step-by-step explanation:

Let the number of employees with both cell and car be b. Using a Venn diagram shown above,

19 + 22 - b + 2 = 25

43 - b = 25

b = 18

Answer:

281 different committees can be formed if the number of boys is more than the number of girls​.

Step-by-step explanation:

The order in which the people are chosen to the committee is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Number of boys more than the number of girls:

3, 4 or 5 boys.

3 boys:

3 boys from a set of 6.

2 girls from a set of 5. So

[tex]C_{6,3}C_{5,2} = \frac{6!}{3!3!} \times \frac{5!}{2!3!} = 200[/tex]

4 boys:

4 boys from a set of 6.

1 girl from a set of 5. So

[tex]C_{6,4}C_{5,1} = \frac{6!}{4!2!} \times \frac{5!}{1!4!} = 75[/tex]

5 boys:

5 boys from a set of 6. So

[tex]C_{6,5} = \frac{6!}{5!1!} = 6[/tex]

Total:

200 + 75 + 6 = 281

281 different committees can be formed if the number of boys is more than the number of girls​.

Given:

The given statement is "6 less than the difference of 5 and a number".

To find:

The variable expression for the given statement.

Solution:

Let n be the unknown number or the variable.

We know that minus sign is used to represent the difference between two numbers.

Difference of 5 and a number is [tex](5-n)[/tex].

6 less than the difference of 5 and a number is [tex](5-n)-6[/tex].

The required expression for the given statement is [tex](5-n)-6[/tex].

Therefore, the correct option is C.

Answer:

13.6 meter

Step-by-step explanation:

Given that :

Suzi's height, p1 = 1.7 m

Suzi's shadow, p2 = 0.3 m

Tree shadow, t2 = 2.4 m

Tree height, t1 =?

Using the relation :

p1 / p2 = t1 / t2

1.7 / 0.3 = t1 / 2.4

Cross multiply :

1.7 * 2.4 = 0.3 * t1

4.08 = 0.3t1

t1 = 4.08 / 0.3

t1 = 13.6

Height of the tree is 13.6 m

9514 1404 393

Answer:

  16. k^5/j^3

  18. 81y^20

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c) . . . . where b may be 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

___

We can simplify the given expressions as follows.

  [tex]\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}[/tex]

__

  [tex](x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}[/tex]

Answer:

Therefore,

Middle term = 8

Sequence,

a-d, a, a+d = 8-6, 8, 8+6

= 2,8,14

Step-by-step explanation:

Answer:

The middle term is 8

Step-by-step explanation:

The middle term is 8.

Step-by-step explanation:

this photo is correct answer of this question.

Answer:

x = 9

Step-by-step explanation:

When sum of two angles is 90, then they are known as complementary angles.

4x + 9  + 2x + 27 = 90

4x + 2x + 9 + 27 = 90

Combine like terms

6x + 36 = 90

Subtract 36 from both sides

6x = 90 - 36

6x = 54

Divide both sides by 6

x = 54/6

x = 9

Answer:

Step-by-step explanation:

Set this up as a proportion and solve. The ratios are books:day, so keep in mind that a week is 7 days because your values have to be the same

[tex]\frac{books}{day}:\frac{68.24}{1}=\frac{x}{7}[/tex] and cross multiply to solve for x, the number of books lent out in a week:

x = 68.24(7) so

x = 477.68 books in a week

The correct answer is option B which is the probability of either white or green is 5/6.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The probability that it is either white or green will be calculated as:-

Total balls are :- 3+5+10=18

White or green ball - 5+10=15

3 x 5=15

3 x 6=18

P = N(e)/N(s) = 15/18

P = N(e)/N(s) = 5 / 6

Therefore the correct answer is option B which is the probability of either white or green is 5/6.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Answer:

40°

100 + 80 = 180

60 + 80 = 140

140+ 40 = 180

Step-by-step explanation:

Answer:

m<C+m<D=100 degrees   m<D=40 degrees

Step-by-step explanation:

Answer:

In step 1 she multiplied the numerators together and denominators together instead she should have done this

30*5 = 12*x

150=12x

150÷12=x

12.5=x

Answer:

The slope is -2/3 and the y-intercept is -1.

Step-by-step explanation:

In a linear equation like this, the slope is the coefficient in front of the x after the expression has been completely simplified. In this case, the slope is -2/3.

For the y-intercept, that is simple too; since it is simplified, it is just the number that comes after the x package. So, for this, the y-intercept is -1.

Answer:

Step-by-step explanation:

y=mx+b is the general equation of a line, where

m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3

b= y intercept

for point (0,6)

y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6

the equation of the line that passes trough the given points is

y= (4/3) x +6

Answer:

y = 4/3 x + 6

Step-by-step explanation:

M = -4/-3 = 2/3

y = 4/3 X + B

6 = 4/3(0) + B

B=6

Answer:

Diameter: the straight distance from one edge of a circle to the other

Radius: the straight distance from one edge of a circle to the center

I hope this helps :)

Answer:

Diameter - a straight line that goes straight through the center of the circle to one point on its outline to another point on it's outline

Radius - a line that starts at the center and goes to anywhere on the circles circumference

To find the inverse of a function, we switch out every x for a y and vice-versa.

Original: y = 4x + 8

Flipped: x = 4y + 8

Now, we solve for y again to put this equation into slope-intercept form.

x = 4y + 8

4y = x - 8

y = 1/4x - 2

h(x) = 1/4x - 2

Hope this helps!

Answer:

11011000

Step-by-step explanation:

the binary equivalent of decimal number 216 is 11011000

[tex]\huge\sf\red{Answer}[/tex]

11011000

__________

Hopefully it helps

Answer:

A) 45=x

B) Yes, since both A and B are 90°

6x+90=360

6x=270

x=45

No lines are not parallel

Answer:

third option (7.5, 8)

this option (6, 5, -3)

Step-by-step explanation:

you eliminate one variant by expressing it through the other(s) until you have one equation with one variable.

that you solve, and then you go back to the other elimination expressions to calculate the others.

2x - y = 7

-2x + 3y = 9

since the terms with x are already so similar, we could now simply add both equations and solve that result :

2x + (-2x) -y + 3y = 7+9 = 16

0×x + 2y = 16

2y = 16

y = 8

=>

2x - 8 = 7

2x = 15

x = 7.5

x - 2y - 3z = 5

x + 2y + 3z = 7

x + z = 3

the same trick by adding the first 2 equations

x + x -2y + 2y -3z + 3z = 5 + 7 = 12

2x + 0y + 0z = 12

2x = 12

x = 6

=>

6 + z = 3

z = -3

and then

6 + 2y + 3(-3) = 7

6 + 2y - 9 = 7

2y - 3 = 7

2y = 10

y = 5

Answer:

where is the question oooo

Step-by-step explanation:

everything can be found in the picture

Step-by-step explanation:

there is something wrong with what your write here as problem description.

either there is something missing in the main expression, or in the answer options.

given your nth-term expression 7n-2, none of the 4 answer options can fit.

so, I thought, maybe there was a typo.

the possible interpretations of the expression could be

7n - 2

7(n-2)

[tex] {7}^{n} - 2[/tex]

[tex] {7}^{n - 2} [/tex]

we know that

a1 = 1

a2 = either

a1 + 2 = 3

a1 - 2 = -1

a1 + 7 = 8

a1 - 7 = -6

so, we can eliminate both negative answer options, because they would cause only negative sequence elements, but the main expression (neither of the 4 possibilities) does not allow that.

but also none of the 4 possibilities of the expression delivers any of the 4 values for a2 as described above.

7×2 - 2 = 14 - 2 = 12

7(2-2) = 7×0 = 0

7² - 2 = 49 - 2 = 47

[tex] {7}^{2 - 2} = {7}^{0} = 1[/tex]

similar not for a3.

so, if I consider your answer options right, we have 4 possible arithmetic sequences:

1. 1, 3, 5, 7, 9, 11, 13, 15, ...

2. 1, -1, -3, -5, -7, -9, -11, -13, ...

3. 1, 8, 15, 22, 29, 36, 43, 50, ...

4. 1, -6, -13, -20, -27, -34, -41, ...

the nth term expression is for

a. an = 2n - 1

b. an = 2×(-n) + 3 = 2×(-n + 1) + 1

c. an = 7n - 6

d. an = 7×(-n) + 8 = 7×(-n + 1) + 1

so, please pick the right expression from this list, and then use the answer option with the same letter.