You're planning to visit with seven clients today and you estimate that at most each client will require 3/4 of an hour of your time. At most how long does you estimate say it will take to visit with each client?

Answer:

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

Step-by-step explanation:

A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,

[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]

Substitute the given values ,

[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]

Simplify the RHS by adding the variables ,

[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]

Add 20° to both sides ,

[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]

Add the numbers in RHS ,

[tex]\sf\longrightarrow 5x = 200^o [/tex]

Divide both sides by 5 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]

Therefore ,

Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m

Cost of cloth per m = ₹42¹/2 -> ₹42.5

Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375

Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375

Answer:

Answer given below

Step-by-step explanation:

[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4

= 23/4 m

[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2

= 85/2 rupees

cost of 1 meter cloth = 85/2

cost of 23/4 meter cloth = 85/2 * 23/4

= rupees 1955/8

= [tex]244 \frac{3}{8}[/tex] rupees

Answer:

69

Step-by-step explanation:

Answer:

1: (B)

2: (C)

3: (D)

4: (D)

5: (A)

Step-by-step explanation:

Question 1:

Answer choice B is the only set of ordered pairs where there is only possible ouput for each input.

Question 2:

The y-intercept represented on the graph is (0, -3) and only answer choice C & D have it. Next, we're going to find the slope by using the rise/run method. From point (0, -3) to point (2, 0), it rises 3 and runs 2, so the slope is 3/2. Answer choice C is the only one with a y-intercept of -3 and a slope of 3/2.

Question 3:

From point (0, 0) to point (1, 3), it rises 3 and runs 1, so the slope is 3/1 or 3.

Question 4:

It is nonlinear because linear functions increase/decrease at the same rate. In the question, it says that the function decreases quickly at first, but then decreases more slowly as time passes. This function is not decreasing at the same rate the entire time.

Question 5:

The $5 fee is the initial fee, or the y-intercept, and the $2.25 per pound is the rate, or slope, so answer choice A is correct.

Hope this helps (●'◡'●)

Answer:

24

Step-by-step explanation:

x = total sweets bought

total sweet eaten = x - 4

sweets left = 20

x - 4 = 20

combine like terms

x = 20 + 4

x = 24

Answer:

(1, 10 )

Step-by-step explanation:

Given the 2 equations

- 9x - y = - 19 → (1)

5x + y = 15 → (2)

Adding the 2 equations term by term will eliminate the y- term

- 4x + 0 = - 4

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + y = 15

5 + y = 15 ( subtract 5 from both sides )

y = 10

solution is (1, 10 )

Step-by-step explanation:

For problem 1,

Let the required number be x,

2 x/4 = 11/4

or, (8+x)/4 = 11/4

or, 8+x = 44/4

or, 8+x = 11

or, x = 11-8

so, x = 3

For problem 2,

Let the required number be y,

y/10 = 4/5

or, 5y = 40

or, y = 40/5

so, y = 8

Answer:

CAN $1590

Step-by-step explanation:

Below is the given values:

Tourist has money = TT $7875

Spending = TT $2310

Remaining money = 7875 - 2310 = TT $5565

The Canadian currency she has =  TT $5565 / TT $ 3.5

The Canadian currency she has =CAN $1590

The amount of money she will receive after converting into Canadian dollars = CAN $1590

Answer:

x=1, x=2, x=3, x=4, x=5

Step-by-step explanation:

set each expression in the parenthesis equal to 0 to solve for the roots

Answer:

[tex]5^{18}[/tex]=3,814,697,265,625

Step-by-step explanation:

Multiply the exponents

3×6=18

[tex]5^{18}[/tex]

Answer:

Simplest value of given expression = 5¹⁸

Step-by-step explanation:

Given algebraic equation;

[5³]⁶

Find:

Simplest value of given expression

Computation:

Given fraction [5³]⁶

Using Property of exponents

[Xᵃ]ᵇ = X ᵃ ˣ ᵇ

So,

Using Property of exponents

⇒ [5³]⁶

⇒ 5 ³ ˣ ⁶

⇒ 5¹⁸

Simplest value of given expression = 5¹⁸

Answer:1716

Step-by-step explanation:

13 spades is choice 1

13-1=12

12 spades are left in the draw to be taken so 13*12

12-1=11

11 spades are left so 13*12*11

Answer:

Step-by-step explanation:

A solution is usually thought of as the intersect points of the graph with the x axis. So you have to make a guess here. I don't think you can get an exact answer.

The left solution looks like it is about 2/3 the way to three, so that would make the answer about - 2.67

The right solution looks about the same: 2/3 the way to 3 os the answer there would be 2.67

Answer:

704π

Step-by-step explanation:

V = π×r²×h

= π×8²×11

= 704π yd³

Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.

x^-150 / x^-144

Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.

x^(-150 + 144)

x^-6

Hope this helps!

Answer:

so your answer is -6

Step-by-step explanation:

[tex]\frac{(x^2^5)^-^6}{(x^-^3)^4^8}[/tex]  Did i write the equation right? If so you would multiply the exponents

x^-150                                                                            x^144

----------   so you then flip the two and get                  ----------

x^-144                                                                            x^150

then you would subtract the exponents like this 144-150= -6

The answer is 59049.

Kuaaahahahahahahahah!

Answer:

answer = 3

Step-by-step explanation:

same slope and different y-intercept would make the two lines parallel. hope this helps <3

Answer:

When two lines are parallel they have an equal slope.

OAmalOHopeO

Answer:

Table (C)

Step-by-step explanation:

Given equation of the parabola is,

f(x) = 9x² + 5x + 3

By comparing this equation with,

f(x) = ax² + bx + c

a = 9, b = 5 and c = 3

Since, leading coefficient (a) of the function is positive,

Parabola will open upwards.

For y-intercept,

Substitute x = 0 in the equation,

f(0) = 9(0)² + 5(0) + 3

f(0) = 3

Therefore, y-intercept is (0, 3).

Table (C) is the answer.

Answer:

80/243

or

.329218107

Step-by-step explanation:

This is a binomial distribtuion

THe probability of red= 1/3

the probability of not red= 2/3

Probability of getting exactly 2 reds in 5 spins

[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]

or

80/243

Answer:

x = 3

Step-by-step explanation:

take 60 degree as reference angle and using cos rule

cos 60 = adjacent/hypotenuse

1/2 = x/6

do cross multiplication

2*x = 6*1

x = 6/2

x = 3

Answer:

$5200

Step-by-step explanation:

Given :

Amount invested, Principal, P = $5000

Interest rate, r = 4% = 4/100 = 0.04

Amount in account at the end of the year, A

period, t = 1 year

Using the relation :

A = P(1 + rt)

A = $5000(1 + 0.04*1)

A = $5000(1 + 0.04)

A = $5000 * 1.04

Amount in account at year end = $5200

Answer:

Slope - 0.86

Y-Intercept - (0, -2800)

Step-by-step explanation:

The slope is the rate at which the x value is increasing, in the form of y = mx + b. B would represent the Y-intercept, as that's the value of x when y is equal to 0.

Answer:

Tue area of the new figure is 28ft

Step-by-step explanation:

Each side 20/4=5

The length 5+2=7

The width 5-1=4

The area 7x4=28

Answer:

your correct

Step-by-step explanation:

Answer:

I think the one you have answered is correct.

Answer: 10 Pizzas

Step-by-step explanation:

Given

A group of 14 friends ordered small pan for each person to realize that they are sufficient for 6 more people that is

1 Pizza can feed

[tex]\Rightarrow \dfrac{14+6}{14}=\dfrac{20}{14}\\\\\Rightarrow \dfrac{10}{7}\ \text{Persons}[/tex]

To feed 14 persons, pizzas required

[tex]\Rightarrow \dfrac{14}{\frac{10}{7}}=\dfrac{7\times 7}{5}\\\\\Rightarrow \dfrac{49}{5}=9.8\approx 10\ \text{Pizzas}[/tex]

So, 10 Pizzas are sufficient to feed 14 Persons

Answer:

B

Step-by-step explanation:

f(x) = x²+49 , rewrite the equation

x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides

x² = -7², square root both sides

√x² =√-7², consider √-1 =i

x= ±7i

the roots are -7i and 7i

Answer:

B

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

x² + 49 = 0 ( subtract 49 from both sides )

x² = - 49 ( take the square root of both sides )

x = ± [tex]\sqrt{-49}[/tex] = ± 7i

Solutions are x = - 7i, x = 7i

Answer:

Answer:

x=−3 & x=4

Step-by-step explanation:

Step 1: Subtract 5x+3 from both sides.

x2+4x−9−(5x+3)=5x+3−(5x+3)

x2−x−12=0

Step 2: Factor left side of equation.

(x+3)(x−4)=0

Step 3: Set factors equal to 0.

x+3=0 or x−4=0

x=−3 or x=4

Answer:

x=4  x=-3

Step-by-step explanation:

x^2 + 4x-9 = 5x + 3

Subtract 5x from each side

x^2 + 4x-5x-9 = 5x -5x+ 3

x^2 +-x-9 =  3

Subtract 3 from each side

x^2 -x-9-3 =  3-3

x^2 -x -12 =0

Factor

What 2 numbers multiply to -12 and add to -4

-4*3 = -12

-4+3 =-1

(x-4)(x+3) =0

Using the zero product property

x-4 =0  x+3 =0

x=4  x=-3

Answer:

D) (2,-1)

Step-by-step explanation:

These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.

Hello

1) 4n-3a=2n+2a

4n-2n = 2a+3a

2n= 5a

n = 5a/2

2) n²=7c(a+2b)

n² = 7ac + 14bc

n = √(7ac + 14bc)

3) tn²=4w

n² = (4w)/t

n= √ [(4w)/t]

4) a=2nw

2nw=  a

2n = a /w

n = (a/w)/2

Answer:

False

Step-by-step explanation:

Because it not possible

it can't so false

Step-by-step explanation:

false it cant cause its not possible