Rachel, Hong, and Manuel have a total of 95 in their wallets. Hong has 3 times what Manuel has. Rachel has $10 more than Manuel. How much does each have?

Answer:

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram in the attachment.

The triangle is a right angles triangle and the unknown side is the hypotenuse which is the longest side of a triangle and the other two sides are the opposite and the adjacent

Using the Pythagoras theorem to find the length of the hypotenuse, we will have;

hyp²= opp²+adj²

hyp²= 15²+3²

hyp²= 225+9

hyp²= 234

hyp = √234

hyp = 15.2971

Hence the length of the unknown side is 15.2971ft

Answer: Change it to decimal

Step-by-step explanation:

Converting it to decimal makes it easier to work with. It might make be an extra step, but in the long run of the problem it helps to make calculations accurate and easier to solve by working with simpler numbers. Converting to decimal form makes the number more precise for square roots, which are usually not whole numbers.

40-19＝21

21－12＝9

11-9＝2

2 white cats

Answer:

Q1: Communtative property of multiplication

Q2: Commutative property of addition

Step-by-step explanation:

Hope this helps!!!!!!!

Answer:

752.95

Step-by-step explanation:

Data provided in the question

The standard deviation of population = 210

The Margin of error = 15

The confidence level is 75%, so the z value is 1.96

Now the required sample size is

[tex]= 1.96^2\times \frac{210^2}{15^2}[/tex]

= 752.95

Hence, the number of college students spends on the internet each month is 752.95

Simply we considered the above values so that the n could come

Answer:

Distribute

6(x+2)

= 6×x+6×2

So 6x+12

Answer!

Work backwards to find the factors from the roots, then multiply the factors together. f=x^2−7x/3+2/3

Answer:

430290100 is the answer

Step-by-step explanation:

hope it help :)))))))))))))))))))))))))))))))))))))

Answer:

430290100

Step-by-step explanation:

Answer:

Step-by-step explanation:

(39/7)(-12/5) = -468/35 = -13.37

Answer:

i think but I am not sure so maybe ask somebody else but I think it is A.

Step-by-step explanation:

I just think it is

Answer:

The correct answer is option A. A and C

Step-by-step explanation:

From the given situation above, here is the solution:

Friend A. 13 hours x $ 6.95 = $90.35 x 8 weeks = $722.80

Friend B. 15 hours x $ 5.85 = $87.75 x 8 weeks = $702

Friend C. 18 hours x $ 5.25 = $94.5 x 8 weeks = $756

Friend D. 11 hours x $ 7.80 = $85.8 x 8 weeks = $686.40

Therefore, the individuals who reached their goal of saving $720 for a vacation are friend A and friend C. The correct answer is option A. A and C.

Answer:

The correct answer is A.     A and C

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Because when you walk in there is now 35 people 35 - 30 = 5

There are 34 people in the garden.

Read related ink on:

https://brainly.com/question/17377020

Answer:

Her conjecture is not correct

Step-by-step explanation:

Given

[tex]x^5 - 2 > x[/tex]

For [tex]x < -1[/tex]

Required

Determine if the conjecture is true

[tex]x < -1[/tex] implies that the values of x are:

-2, -3, -4, -5.....

Take any value of x and substitute in [tex]x^5 - 2 > x[/tex]

Let x = -3

[tex]x^5 - 2 > x[/tex] becomes

[tex]-3^5 - 2 > -3[/tex]

[tex]-243 - 2 > -3[/tex]

[tex]-245 > -3[/tex]

The above inequality is false;

Hence:

Her conjecture is not correct

Answer:

______________________________

106/120 = .8833 complaints per hour i think.

______________________________

Answer:

  2300

Step-by-step explanation:

When you multiply by 10, each place value moves one to the left: hundreds become thousands, tens become hundreds.

(2 hundreds 3 tens) × 10 = 2 thousands 3 hundreds

In numbers (standard form), this is ...

  230 × 10 = 2300

Answer:

13cm

Step-by-step explanation:

104 × 2 = 208

208 ÷ 16 = 13cm

(13 × 16) ÷ 2 = 104cm²

Answer:

13 cm

Step-by-step explanation:

Area = 1/2×base×height

Formula  for area:

Solving for b:

Answer is 13 cm

Answer:

Technically, yes. It's called epsilon, which is defined as an infinitely small number. So

 2 + epsilon is the smallest number greater than 2. But for practical purposes no there isn't.

00

Step-by-step explanation:Not without limits. You can always move the .1 one place further from the interring. For example,  

2.1>2.01

and  

2.01>2.001

So, unless there are a limited number of decimal spaces, you can continually add an infinite amount of zeros behind the decimal point, followed by a one.

If you use two or three decimal spaces as a standard in your class, then the smallest decimal greater than 2 would be 2.01 or 2.001, respectively.

Answer:

Step-by-step explanation:

90/n

Answer:

180

Step-by-step explanation:

60 x 3 =180

Answer:

l=22.5≅23 cm and w=7.5≅8 cm

Step-by-step explanation:

l=3w

p=60 cm

p=2(l+w)

60=2(3w+w)

60=2(4w)

60=8w

[tex]\frac{60}{8}=\frac{8w}{8}[/tex]

w=7.5≅8 cm

l=3w

l=3*7.5

l=22.5≅23 cm

check

p=2(l+w)

p=2(22.5+7.5)

p=2(30)

p=60 cm

Answer:

-3x^12y^-6

Step-by-step explanation:

Answer:

104%

Step-by-step explanation:

if it has to do with percentages

Answer:

sale price = $145.56

Step-by-step explanation:

The regular price of one bicycle is $181.95

20% discount

sale price = original price - ( % discount x original price )

sale price = $181.95 - (0.20 * $181.95)

sale price = $181.95 - $36.39

sale price = $145.56

Answer:

The set of solutions are linearly independent because the wronskian is

e^(2ax) ≠ 0

Step-by-step explanation:

To show that the set of solutions {e^(ax), xe^(ax)} are linearly independent, we find the Wronskian of the set of solutions.

Wronskian of y1 and y2 is given as:

W(y1, y2) = y1y2' - y1'y2

y1 = e^(ax)

y1' = ae^(ax)

y2 = xe^(ax)

y2' = axe^(ax) + e^(ax)

W(y1, y2) = e^(ax)[axe^(ax) + e^(ax)] - ae^(ax).xe^(ax)

= (ax + 1)e^(2ax) - axe^(2ax)

= e^(2ax)

The wronskian of the given set of solutions is e^(2ax), which is not zero.

Because it is not zero, the set of solutions are linearly independent.

Answer:

Step-by-step explanation:

Given two vectors a = (4, 2, -4) and b = (4, -3, 2), the formula to be used to calculate the angles between both vectors is as expressed below;

[tex]a.b = |a||b| cos \theta[/tex] where [tex]\theta[/tex] is the angle between both vectors

a.b = (4, 2, -4). (4, -3, 2)

a.b = 4(4)+2(-3)+2(-4)

a.b = 16-6-8

a.b = 16-14

a.b = 2

Given |r| = √x²+y²+z²

|a| = √4²+2²+(-4)²

|a| = √16+4+16

|a| = √36

|a| = 6

Similarly;

|b| = √4²+(-3)²+2²

|b| = √16+9+4

|b| = √29

Substituting the parameters gotten into the formula to get the angle between the two vectors a and b we will have;

[tex]a.b = |a||b| cos \theta\\2 = 6*\sqrt{29} \ cos \theta\\ cos\theta = \dfrac{2}{6\sqrt{29} } \\cos\theta = \dfrac{1}{3\sqrt{29} }\\ cos\theta = 0.0619\\\theta = cos ^{-1}0.0619\\ \theta = 86.45^0 (to \ 2dp)[/tex]

Hence the angle between vectors a and b is 86.45°

Answer:

-1

Step-by-step explanation:

We have our expression

6 - 4x = 7x - 9x + 8

Combine like terms

6 - 4x = -2x + 8

Add 2x to both sides, and subtract 6 from both sides

-2x = 2

x = -1

Answer:

-2x − 2 = 0 is the answer to this

Answer:

Step-by-step explanation:

Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.

Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);

hyp² = opp² + adj²

Let the opposite be the 9cm length

Adjacent will be half of the chord length = 15/2 = 7.5cm

Substituting this values into the formula we will have;

hyp² = 9² + 7.5²

hyp² = 81+56.25

hyp² = 137.25

hyp² = √137.25

hyp = 11.72

Hence the radius of the circle is approximately 11.72 cm long

Complete Question

CoStar would like to test if the vacancy rate for "warehouse" stores is more          than 8%. A type 1 error would occur if CoStar concludes that the vacancy rate was

A: not equal to 8% when, in reality, the proportion was equal to 8%

B: 8% or less when, in reality, the proportion was more than 8%

C: equal to 8% when, in reality, the proportion was 8% or less

D: more than 8% when, in reality, the proportion was 8% or less

Answer:

The correct option is  D

Step-by-step explanation:

From the question we are told that

CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%.

Hence

The null hypothesis is  [tex]H_o : p \le 0.08[/tex]

The  alternative hypothesis is  [tex]H_a : p> 0.08[/tex]

 Generally type 1 error occurs when null hypothesis is rejected while it is true

So Type I error would occur if CoStar concludes that the vacancy rate was more than 8% when, in reality, the proportion was 8% or less

This question is not complete

Complete Question

A boat sails 4km on a bearing of 038 degree and then 5km on a bearing of 067 degree.(a)how far is the boat from its starting point.(b) calculate the bearing of the boat from its starting point

Answer:

a)8.717km

b) 54.146°

Step-by-step explanation:

(a)how far is the boat from its starting point.

We solve this question using resultant vectors

= (Rcos θ, Rsinθ + Rcos θ, Rsinθ)

Where

Rcos θ = x

Rsinθ = y

= (4cos38,4sin38) + (5cos67,5sin67)

= (3.152, 2.4626) + (1.9536, 4.6025)

= (5.1056, 7.065)

x = 5.1056

y = 7.065

Distance = √x² + y²

= √(5.1056²+ 7.065²)

= √75.98137636

= √8.7167296826

Approximately = 8.717 km

Therefore, the boat is 8.717km its starting point.

(b)calculate the bearing of the boat from its starting point.

The bearing of the boat is calculated using

tan θ = y/x

tan θ = 7.065/5.1056

θ = arc tan (7.065/5.1056)

= 54.145828196°

θ ≈ 54.146°