Raymond wanted to buy 8 t-shirt but he was short of $8.10. instead he bought 5 T-shirt and had $12.60 left. how much would he need to pay for 20 t-shirt?

Answer:

Measure of angle 2 = 82°

Step-by-step explanation:

m∠1 = (10 x + 8)°

m∠3 = (12 x - 10)°

2 lines are said to intersect to form 4 angles. And the labelling of the angles was done starting from top left, clockwise: the angles are 1, 2, 3, 4.

Find attached the diagram obtained from the given information.

Vertical angles are angles opposite each other when two lines intersect. As such, they are equal to each other.

Considering our diagram

m∠1 = m∠3

m∠2 = m∠4

Sum of all four angles firmed = 360° (sum of angles at a point)

m∠1 +m∠2 + m∠3 + m∠4 = 360°

m∠1 = m∠3

(10 x + 8)°= (12 x - 10)°

10x-12x = -10-8

-2x = -18

x= 9°

Also m∠2 = m∠4, let each equal to y

(10 x + 8)°+ y + (12 x - 10)° + y = 360

10x + 12x - 10 +8 +2y = 360

Insert value of x

22(9) -2 + 2y = 360

2y = 360-196

2y = 164

y = 82°

m∠2 = m∠4 = y = 82°

Measure of angle 2 = 82°

Answer:

2 = 82°

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Separate the fraction (1/9) from the variable x:

y = (1/9)x.

1/9 is the constant of proportionality.

Answer:

P10 = 27.4

P90 = 22.0

It helps the producer to know the higher (P10) and lower estimates (P90) for the amount of chocolate chips per cookie.

Step-by-step explanation:

In P10 and P90 the P stands for "percentile".

In the case of P10, indicates the value X of the random variable for which 10% of the observed values will be above this value X.

In the case of P90, this percentage is 90%.

In this case, we can calculate from the z-values for each of the percentiles in the standard normal distribution.

For P10 we have:

[tex]P(z>z_{P10})=0.1\\\\z_{P10}=1.2816[/tex]

For P90 we have:

[tex]P(z>z_{P90})=0.9\\\\z_{P90}=-1.2816[/tex]

Then, we can convert this values to our normal distribution as:

[tex]P10=\mu+z\cdot\sigma=24.7+1.2816\cdot 2.1=24.7+2.7=27.4 \\\\P90=\mu+z\cdot\sigma=24.7-1.2816\cdot 2.1=24.7-2.7=22.0[/tex]

Answer:

Step-by-step explanation:

No, it is not an even function.  The graph is not symmetric about the y-axis.

Answer:

d. number of items-discrete; total time-continuous

Step-by-step explanation:

Continuous:

Real numbers, can be integer, decimal, etc.

Discrete:

Only integer(countable values). So can be 0,1,2...

In this question:

You can purchase 0, 1, 2,...,10,...,100,... items, so the number of items is discrete.

You can spend for example, 0.5 hours in the store, or 2.5 minutes, that is, can be decimal numbers. So the total time is continuous

The correct answer is:

d. number of items-discrete; total time-continuous

Answer:

123454321

Step-by-step explanation:

it's a palendrome, made out of a number of numbers in the sqquence.

Answer:

Cannot be factored

Step-by-step explanation:

Hey there! :)

Answer:

∠A = 15.6°

Step-by-step explanation:

Use trigonometry to solve for ∠A. Since this involves the opposite and adjacent sides, tangent will be used. Therefore:

24/86 = arc tan x (inverse of tangent)

0.279 = arc tan x

x = 15.59° ≈ 15.6°.

Therefore:

∠A = 15.6°

Answer:

a. interaction

Step-by-step explanation:

In statistics, interaction occurs when the effect of one variable depends on the value of another variable.

In this case, Trish's analysis shows that the effect of alcohol consumption in a persons reaction time also depends on that person's quality of sleep, highlighting a clear case of interaction.

Answer:

The equation that shows the profit: P = 2x + 3y

Step-by-step explanation:

The number of sneaker = x

The number of sandals = y

Cost of sneaker = 8 dollars.

Cost of sandals = 14 dollars.

Selling price of sneaker = $10

Selling price of sandals = $17

Total revenue = $10x + $17y

Total cost  = $8x + $14y

Profit (P)  =  Total revenue  - Total cost.

Profit = ($10x + $17y) – ($8x + $14y)

P = 10x +17y – 8x – 14y

P = 2x + 3y

Answer: k = 4, k = -4 and k = 0.

Step-by-step explanation:

If we have y = sin(kt)

then:

y' = k*cos(kt)

y'' = -k^2*son(x).

then, if we have the relation:

y'' - y = 0

we can replace it by the things we derivated previously and get:

-k^2*sin(kt) + 16*sin(kt) = 0

we can divide by sin in both sides (for t ≠0 and k ≠0 because we can not divide by zero)

-k^2 + 16 = 0

the solutions are k = 4 and k = -4.

Now, we have another solution, but it is a trivial one that actually does not give any information, but for the diff equation:

-k^2*sin(kt) + 16*sin(kt) = 0

if we take k = 0, we have:

-0 + 0 = 0.

So the solutions are k = 4, k = -4 and k = 0.

Answer:

Step-by-step explanation:

22x + 1 = 8

Send 1 to the right side of the equation

22x = 8 - 1

22x = 7

Divide both sides by 22

x = 7/22

Hope this helps you

Answer:

Correct option: C.

Step-by-step explanation:

(Assuming the correct function is R(x) = 2x^2 + 3x + 5)

To find the input value that gives the value of R(x) = 19, we just need to use this output value (R(x) = 19) in the equation and then find the value of x:

[tex]R(x) = 2x^2 + 3x + 5[/tex]

[tex]19 = 2x^2 + 3x + 5[/tex]

[tex]2x^2 + 3x -14 = 0[/tex]

Solving this quadratic function using the Bhaskara's formula (a = 2, b = 3 and c = -14), we have:

[tex]\Delta = b^2 - 4ac = 9 + 112 = 121[/tex]

[tex]x_1 = (-b + \sqrt{\Delta})/2a = (-3 + 11)/4 = 2[/tex]

[tex]x_2 = (-b - \sqrt{\Delta})/2a = (-3 - 11)/4 = -3.5[/tex]

So looking at the options, the input to the function is x = 2

Correct option: C.

Answer:

work shown and pictured

Answer:

m^4+(1/m^4)= 123.4641 or 118.6

Step-by-step explanation:

m-(1/m)=3

m² - 1= 3m

m² -3m -1= 0

m = (3-√13)/2 = -0.3

Or

m =( 3+√13)/2= 3.3

m^4+(1/m^4) for m = -0.3

= (-0.3)^4 + (1/(0.3)^4)

= 0.0081 + 123.456

= 123.4641

m^4+(1/m^4) for m = 3.3

= (3.3)^4 + (1/(3.3)^4)

= 118.5921 + 0.008432

= 118.6

Answer:

between 108-110?

Step-by-step explanation:

60% or 200 = 120 people

90% of 120 = 108

question doesnt look complete so this is the best I could come up with...‍♀️

Answer:

x is 64 and y is 16 but if you can't comprehend thats 64/16 = 4

Step-by-step explanation:the power is the number multiplied by it self so 8 to the power if 2 is 8 x 8 and 2 to the power of four is 2 x 2 x 2 x 2= 16

Answer:

[tex]\frac{d}{dy}(-3x^{2} -12) = -6x[/tex]

0 = -6x

0 = x

[tex]-3(0)^{2} -12 = -12[/tex]

(0,-12)

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: [tex]\frac{a + b + c + d}{4} = 85[/tex]

Whose largest number is 97: [tex]\frac{a + b + c + 97}{4} = 85[/tex]

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

Answer:

7+c or 6

Step-by-step explanation:

Answer:

-89+c

Step-by-step explanation:

I'm assuming

"(7-6)(-1)

-7 +0

-7-

7-6

7+ c"

Is the whole equation.

(7-6)(-1) -7+0 -7- 7-6 7+c=

(1)(-1)-7+0-7-7-67+c=

-1-7+0-7-7-67+c=

-8+0-7-7-67+c=

-8-7-7-67+c=

-15-7-67+c=

-22-67+c=

-89+c

Answer:

A

Step-by-step explanation:

9-2x≤3x+24

-15≤5x

-3≤x

so it's:

[-3,∞)

Answer:

56% shaded

Step-by-step explanation:

if there are 100 boxes, then every box it 1%

5 rows (50%) + 6 extra boxes (6%) = 56%

Answer:

33

Step-by-step explanation:

An = 6n+3

so the first five terms in sequences is A5= 6*5 +3 = 33

Answer:

Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 51%

Alternate Hypothesis, [tex]H_A[/tex] : p < 51%

Step-by-step explanation:

We are given that less than 51% of workers got their job through networking. We have to express the null and alternative hypotheses in symbolic form for this claim.

Let p = population proportion of workers who got their job through networking

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 51%

Alternate Hypothesis, [tex]H_A[/tex] : p < 51%

Here, the null hypothesis states that greater than or equal to 51% of workers got their job through networking.

On the other hand, the alternate hypothesis states that less than 51% of workers got their job through networking.

Hence, this is the appropriate hypothesis that can be used.

Answer:

SOLUTION SET={x/x>-1} and SOLUTION SET={x/x<-1}

Step-by-step explanation:

1)4x-39>-43

evaluating the inequality

adding 39 on both sides

4x-39+39>-43+39

4x>-4

dividing 4 on both sides

4x/4>-4/4

x>-1

SOLUTION SET={x/x>-1}

2)8x+31<23

evaluating the inequality

subtracting 31 on both sides

8x+31-31<23-31

8x<-8

dividing 8 on both sides

8x/8<-8/8

x<-1

SOLUTION SET={x/x<-1}

i hope this will help you :)

Answer: There are no solutions

Step-by-step explanation:Khan Academy

Answer:

2009.6

Step-by-step explanation:

As we know, volume of a right cylinder is πr²h.

here, diameter is mentioned, which gives that the radius is half of the diameter.

r= 1/2*16=8 feet

height= 10 feet

π=3.14

volume= 3.14*8²*10

          = 3.14*64*10

            =3.14*640

             = 2009.6

so, that much water is needed to fill the tank

Answer:

2,010.6192982

Step-by-step explanation:

Answer:

Step-by-step explanation:

The complete statement would be "if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other".

The reason for this is because parallel lines have the same slope, that's the condition. On the other hand, parallel lines have opposite and reciprocal slopes.

So, if you think this through, if a line is perpendicular to another, then it's going to be perpendicular to all different lines which are parallel to the first one, because all their slopes are equivalent, and they will fulfill the perpendicularity condition.

Answer:

Parallel line

Step-by-step explanation:

Hope It Helps

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 60, \sigma = 16[/tex]

P(X < 80)

This is the pvalue of Z when X = 80. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 60}{16}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a pvalue of 0.89435.

So

P(X < 80) = 0.89435.

Answer:

Options (D), (E) and (F) are the correct options.

Step-by-step explanation:

From the figure attached,

1). Angle 4 is the exterior angle of the given triangle having interior angles 1, 2 and 3.

Therefore, by the property of exterior angle,

∠4 = ∠1 + ∠2

2). Since ∠4 = ∠1 + ∠2,

Therefore, ∠4 will be greater than ∠1

 Similarly, ∠4 will be greater than ∠2

Therefore, Options (D), (E) and (F) are the correct options.