Solve this problem:
5X +8 = 53

Answer:

Step-by-step explanation:

Answer:

[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]

[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]

[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]

[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]

[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]

[tex]x=4\sqrt{15}[/tex]    [tex]y=4\sqrt{15}[/tex]

OAmalOHopeO

Answer:

60 is the larger number

Step-by-step explanation:

Let the two numbers be a and y

x+y = 90

x-y = 30

Add the two equations together

x+y = 90

x-y = 30

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

2x = 120

Divide by 2

2x/2 =120/2

x = 60

x+y =90

60+y = 90

y = 90-60

y = 30

The numbers are 60 and 30

Answer:

The number that comes after 144five is:

= 200five.

Step-by-step explanation:

Adding 1 to 144 base 5 will result in:

144

+  1

= 200

b) To obtain the next number that comes after 144five, add 1five to 144five.  Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward.  When 1 is added to the next 4, the result will be 0 with 1 carried backward.  1 added to 1 = 2, all in base 5.  Figures in base 5 cannot exceed 4.  The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The sum of angles of a triangle is 180°.

  (8x -10) +(2x) +(3x -5) = 180

  13x -15 = 180

  13x = 195

  x = 15

The largest angle is ...

  8x -10 = 8(15) -10 = 110 . . . . degrees

Answer:

Red on the 5th draw = 0.0907

Step-by-step explanation:

The first to fourth selections are all the same.

Blue + white = 12 + 6 = 18

The total number of marbles is 11 + 12 + 6 = 29

P(~ red) for the first four times = (18/29)^4 = 0,1484

Now on the 5th time, the first red is 11/18

So the Probability is 0.1484 * 11/18 = 0.0907

Answer: (a)

Step-by-step explanation:

Given

There are 5 squads for an athletic scrimmages

If each team played 2 matches

Total no of matches will be

[tex]\Rightarrow \dfrac{5(5-1)}{2}\times 2=20\ \text{matches}[/tex]

So, 20 matches are played in 2 hours

Each match takes

[tex]\Rightarrow \dfrac{120}{20}=6\ \text{minute}[/tex]

Option (a) is correct.

Answer:  0.50, which is choice b

Explanation:

The interval [tex]1 \le x \le 5[/tex] covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

Answer:

[tex]LCM = 21[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{5}y + \frac{1}{7}= \frac{1}{3}y -\frac{2}{3}[/tex]

Required

LCM of the constant terms

Collect like terms

[tex]\frac{1}{3}y+\frac{3}{5}y = \frac{1}{7}+\frac{2}{3}[/tex]

The constant terms are on the right-hand side

To combine them, we simply take the LCM of the denominator, i.e. 7 and 3

The prime factorization of 3 and 7 are:

[tex]3 = 3[/tex]

[tex]7 = 7[/tex]

So:

[tex]LCM = 3 * 7[/tex]

[tex]LCM = 21[/tex]

Answer: See Below

Step-by-step explanation:

Concept:

Here, we need to know the idea of alternative interior angle, alternative exterior angle, and corresponding angles.

Alternative interior angle: a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Alternative exterior angle: a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Corresponding angle: A pair of angles that occupy the same relative position at each intersection where a straight line crosses two others.

All three kinds of angles above occur to be congruent (equal) when the lines are parallel to each other.

If you are still confused, please refer to the attachment below for a graphical explanation

Solve:

PART ONE

a) Name two pairs of alternative exterior angles: ∠1 and ∠7 / ∠2 and ∠8

b) Name two pairs of corresponding angles: ∠1 and ∠5 / ∠2 and ∠6

c) Name two pairs of alternative interior angles: ∠4 and ∠6 / ∠3 and ∠5

PART TWO

a) If the measure of angle 7 is 52°, what is the measure of angle 1?

b) If the measure of angle 8 is 112°, then what is the measure of angle 3?

Hope this helps!! :)

Please let me know if you have any questions

Answer:

There are two points of intersection

(-4,1) and (1,-4)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

Answer:

Julio's gross income before the tax deductions is $ 405.

Step-by-step explanation:

Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:

547 - 142 = X

405 = X

Therefore, Julio's gross income before the tax deductions is $ 405.

Answer:

see below

Step-by-step explanation:

x^2 + 10x+25 =0

This is the sum of squares

(x+5)^2 =0

x = -5   one solution

x^2 +5x = 0

x(x+5) = 0

x=0   x=-5   two solutions

x^2 -10x +25 = 0

This is the difference of squares

(x-5)^2 = 0

x=5   one solution

x^2 -25 =0

x^2 = 25

x = ±5   two solutions

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]

[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]

[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]

[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]

Answer:

4

Step-by-step explanation:

Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.

Answer:

m = 20 * n

Step-by-step explanation:

The money that he earns is equal  the amount earned per lawn times the amount of lawns that he mows

m = 20 * n

Answer:

60 = 3 x 20

Step-by-step explanation:

60 = m

3 = c

20 = n

Answer: 262144

Step-by-step explanation: You can calculate & draw it out. Then, add the values in the second-to-bottom row of the picture below.

262144 if I'm correct....

Answer:

.

e

Step-by-step explanation:

.

You may need to delete the dollar sign and/or the comma when typing in the answer.

=======================================================

Work Shown:

[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]

Side note: the 'e' is a special constant roughly equal to 2.71828...

Answer: (760 - 676. 40) × 100 ÷ 760 = 11%

Step-by-step explanation:

Answer:

11% decrease

Step-by-step explanation:

Concepts:

Solving:

Let's find the percent change by using the formula.

1. Formula for Percent Change

2. Plug in the values of NV and OV

3. Simplify

Therefore, our percent decrease is 11% decrease.

Answer:

1/11

Step-by-step explanation:

We are asked to find the natural log of

[tex] \sqrt[11]{e} [/tex]

Convert to fractional exponent

[tex] ln(e {}^{ \frac{1}{11} } ) [/tex]

Apply Log of Power rule

[tex] \frac{1}{11} ln(e) [/tex]

Natural log of e is 1 so

[tex] \frac{1}{11} \times 1 = \frac{1}{11} [/tex]

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

First, remember that the ln function is just a log function with a base of e. Here's how it looks

[tex]ln(x) =log_{e}(x)[/tex]

[tex]ln(\sqrt[11]{e} ) = log_{e}(\sqrt[11]{e} )[/tex]

We can take this one step further if we realize that we can rewrite the square root as a simple power to a fraction!

[tex]log_{e}(e^{\frac{1}{11} } )[/tex]

Solving the equation above is really simple. All that function is really saying is can we raise e to some number, where the result would be e^(1/11)? In other words find x.

[tex]e^{x} = e^{\frac{1}{11} }[/tex]

Well x has to be 1/11 in that case. And that ends up being our final answer.

[tex]log_{e}(e^{\frac{1}{11} } ) = \frac{1}{11}[/tex]

Answer:

[tex]P = 24k-6m[/tex]

Step-by-step explanation:

The correct expressions are:

[tex]W = 7k - 2m[/tex]

[tex]L = 5k - m[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 *(L + W)[/tex]

So, we have:

[tex]P = 2 *(5k - m + 7k -2m)[/tex]

Collect like terms

[tex]P = 2 *(5k + 7k- m -2m)[/tex]

[tex]P = 2 *(12k-3m)[/tex]

Open bracket

[tex]P = 24k-6m[/tex]

Answer:

False, false

Step-by-step explanation:

I’m not 100% sure but I think that’s the correct answer

Answer:

24.5

Step-by-step explanation:

using Pythagorean theorem

[tex]a^{2} +b^{2} =c^{2} \\[/tex]

Since we know the hypotenuse, we can change up the theorem into [tex]c^{2} -b^{2} =a^{2}[/tex]

[tex]35^{2} -25^{2} =a^{2}[/tex]

1225-625=[tex]a^{2}[/tex]

[tex]\sqrt{a^{2} } =24.5[/tex]

Answer:

The manufacturer should advertise 11720 pages.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 12450, standard deviation of 570:

This means that [tex]\mu = 12450, \sigma = 570[/tex]

How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time?

They should advertise the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28. Then

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

[tex]-1.28 = \frac{X - 12450}{570}[/tex]

[tex]X - 12450 = -1.28*570[/tex]

[tex]X = 11720[/tex]

The manufacturer should advertise 11720 pages.

Answer:

graph a is the correct answer

Step-by-step explanation:

Answer:

SURE

Step-by-step explanation:

Answer:

The first difference is -5. The next term is -31.

Step-by-step explanation:

If you find the difference between -6 and -11, then you get -5.

And, all the other ones also have differences of -5, so basically, the next term is -31.

Thanks! Please mark me Brainliest!

Answer:

===================================================

Explanation:

Pick any term and subtract off the previous term

No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.

If this pattern keeps up forever, then the sequence is arithmetic.

And if the pattern keeps up, then the next term would be

term6 = term5 + (common difference)

term6 = -26 + (-5)

term6 = -31

Note: Adding -5 is the same as subtracting 5.

Answer:

[see below]

Step-by-step explanation:

Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

(0, -2) - > (0, 2)

(5, -1) - > (5, 1)

(2, -4) - > (2, 4)

A'B'C'  should be (0,2), (5,1) and (2,4). (Or option B)

Hope this helps.