Triangles RST and MNP are congruent. Name the congruent sides and the congruent angles.

Answer:

200 words per minute

Step-by-step explanation:

1000:5

1000/5 reduced will give you your unit rate.

200 words/minute

If 1000 words were read in 5 minutes, each minute would be 1000 divided by 5 which is 200.

Answer:

b) 3 hours

Step-by-step explanation:

Given;

speed of Willie , s = 40 km/h

speed of Gabriella, s = 70 km/h

when they are 410 km apart:

Willie's time = t

Gabriella's time = t- 2

2 hours later, the position of Willie = 40t

2 hours later, the position of Gabriella  = -70 (t-2) (since he is traveling in opposite direction)

the difference in their positions = 410 km

40t - {-70 (t-2)} = 410

40t -{-70t + 140} = 410

40t + 70t - 140 = 410

110t = 410 + 140

110t = 550

t = 550 / 110

t = 5 hours

Gabriella's time = t- 2

Gabriella's time = 5 - 2 = 3 hours

Thus, Gabriella needs to travel 3 hours before they are 410 km apart.

Answer:

teal

Step-by-step explanation:

brown blue green and teal are the only eye colors out there

Answer:

\(\huge\boxed{-0.001a^{n+1}}\)

Step-by-step explanation:

\(-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}\)

Answer:

The probability that if a person is chosen at random has run to red light in the last year is 60%.

Step-by-step explanation:

Since a group of people were asked if they had run a red light in the last year, and 456 responded "yes", and 304 responded "no", to find the probability that if a person is chosen at random, they have run a red light in the last year, the following calculation must be performed:

456 + 304 = 760

760 = 100

456 = X

456 x 100/760 = X

45600/760 = X

60 = X

Therefore, the probability that if a person is chosen at random has run to red light in the last year is 60%.

Hi

3/4 = 1/3X

3/4 = X/3

3/4 *3 = X

9/4 = X

2.25 = X

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

The cost of each funnel cake from the obtained equation is $6.975.

Given that, a group of 4 friends went to the fair. They each ordered a funnel cake and shared a large pack of candy that costed $6.50.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of each cake be x.

They paid a total of $34.50.

Now, 4x+6.50=34.40

⇒ 4x = 34.40-6.50

⇒ 4x = 27.90

⇒ x = 27.90/4

⇒ x = $6.975

Therefore, the cost of each funnel cake from the obtained equation is $6.975.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

17.5 mark brainlist plssssssssssssss

Answer:

8,16,32,64

Step-by-step explanation:

8 to 16 +8

16 to 32 +16

32 to 64 +32

Answer:

8,16,32,64,128,256...

Step-by-step explanation:

the sequence is multiplied by 2

for example; 8*2= 16

16*2=32

Opportunity cost is the cost of the alternative forgone;

The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa

The correct values are as follows:

a. The maximum wages Maria could earn is $130

b. The grades she can expect if she works 10 hours each week is grade C

c. She should make a decision to either quit school or quit her job

d. To become a pharmacists, she should study more and quit her job

To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the

The reason for the above responses are as follows:

The known parameters are:

The number of hours of free time Maria has each day = 4 hours

The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen

The amount she can earn per hour working = $6.50 per hour

Question a. Required;

The maximum wages Maria could earn working 5 days a week

Solution;

Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days

if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130

b. Required:

The grade she can expect by working 10 hours a week

Solution:

The number of hours available each week = 5 × 4 hours = 20 hours

If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time

The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C

c. Required:

The advice for Maria if she is earning $50 each week and is making Ds

Solution:

If Maria is earning $50 each week, the number of days she is working = One day

The number of days she spends reading = 4 days

In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C

Therefore;

Maria has to make a decision to either quit school or quit her job

d. Part of the question that can be included as seen from a similar question online is as follows;

The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager

If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job

If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;

Learn more about the production possibility curve here:

here;https://brainly.com/question/15520789

Answer: x < 7, and x > -7

Step-by-step explanation:

Simply square root both sides of the equation.  The square root of x^2 is x and the square root of 49 can be 7 or -7.

Hope it helps <3

Answer:

x < 7      and x > -7

Step-by-step explanation:

x^2 < 49

Take the square root of each side, remembering to flip the inequality when we take the negative

sqrt( x^2) < + sqrt(49)     and  sqrt( x^2)> - sqrt(49)

x < 7      and x > -7

Using the given formula, we have been able to prove that; the expected value of the students' score is 18 correct responses

1) Let X denote the number of correct guesses, assuming that a student guesses randomly among the five options of all 25 questions. Then X has a binomial probability distribution with;

n = 25

p = 1/5 = 0.2

2) Let Y denote the number of correct responses on the seven questions for which the student guesses randomly from among the five options. Then Y has a binomial probability distribution with n = 7 and p = 0.20. Then the expected value of Y is;

E(Y) = np = 7(0.2) = 1.4

Using the scoring formula given, we have;

Score = (18 + Y) - 0.25(7 - Y) + 0(0)

= 16.25 + 12Y

The expected value of the students' score is;

E(16.25 + 12Y) = 16.25 + 12(1.4)

= 18 correct responses.

Read more about Binomial probability distribution at; https://brainly.com/question/15278907

#SPJ1

The number of tickets which should be sold to $24 and $40 are 4500 and 1500 respectively.

Given, A 6000-seat theater has tickets for sale at $24 and $40.

How many tickets should be sold at each price for a sellout performance to generate a total revenue of $168,000 = ?

first, assign variables:

X = # of $24 tickets,  Y = # or $40 tickets

write equations based on the data presented:

"6000 seat theater..."

   X + Y = 6000 ...equation 1

"total revenue of 168,000"

The revenue from each type of ticket is the cost times the number sold, so:

  24X + 40Y = 168,000 .....equation 2

from equation 1:

   X = 6000 - Y

substitute this into equation 2:   (replace X with 6000-Y)

   24 (6000 - Y) + 40Y = 168,000

expand:

144,000 -24Y + 40Y = 168,000

rearrange and simplify:

    16Y = 168,000 - 144,000

    y = 24000/16

     Y = 1500

from equation 1:

     X = 6000 - 1500

     X = 4500

hence the number of tickets for sale at $24 should be 4500.

Learn more about Linear equations here:

brainly.com/question/26310043

#SPJ1

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

16

Step-by-step explanation:

Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D

Answer:

Quantity of  cranberry juice = 95  ml  

Quantity of  orange   juice = 95  ml

Step-by-step explanation:

Step 1

Given ,

We have  80% cranberry juice and  4% of  orange juice.

We have to find how much each should be mixed to make 190 ml of a  60% cranberry-orange juice blend.

Step 2

Let's assume

Quantity of  cranberry juice =x ml  

Quantity of  orange   juice =y  ml  

Then,

x + y = 190

and

x×80100 +y×4100 = 190×60100  

⇒ 0.8x+0.4y = 114    

⇒ 2x+y = 285  

⇒ y = 285−2x  

Step 3

Substituting   y = 285−2x  in  x + y = 190  

⇒ x+285−2x = 190  

⇒ −x = 190−285  

⇒ −x = −95  

⇒ x = 95  ml  

Substituting x = 95   in  x + y = 190

⇒ 95 + y = 190  

⇒ y = 190−95  

⇒ y = 95 ml  

So,

Quantity of  cranberry juice =95  ml  

Quantity of  orange   juice = 95  ml  

Add the rational expression

\( \sf \large{ \frac{3}{6x {}^{3} } + \frac{4x}{2x}}\)

\( \sf \large{ \frac{1}{2x {}^{3} } + 2}\)

\(\sf \large \purple{ = \frac{4x {}^{3} + 1 }{2x {}^{3} }}\)

Answer: I think it 2,24

Step-by-step explanation:

The equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

A straight line's general equation is y = mx plus c, where m denotes the line's slope and c its y-intercept. It is the geometry-related straight line solution that is used the most frequently. A straight line's equation can be expressed in various ways, including point-slope form, slope-intercept form, intercept form, standard form, etc. A straight line is a two-dimensional geometric object that can reach infinity on both sides.

The equation of a line can be represented in the slope-intercept form, which is given by:

y = mx + b

where:

m = slope of the line

b = y-intercept of the line

Given:

Point (x1, y1) = (4, 2)

Slope (m) = -2

Plugging in the given values into the slope-intercept form, we have:

y = -2x + b

Now, we can use the given point (4, 2) to solve for the y-intercept (b). We substitute the coordinates of the point (x1, y1) into the equation and solve for b:

2 = -2(4) + b

2 = -8 + b

b = 2 + 8

b = 10

So, the value of b is 10.

Putting the values of m and b back into the slope-intercept form, we get the equation of the line:

y = -2x + 10

So, the equation of the line that passes through the point (4, 2) with a slope of -2 is y = -2x + 10.

Learn more about equation of line on:

https://brainly.com/question/11552995

#SPJ9

Answer:

29000 feet

Step-by-step explanation:

Move decimal points 4 places to the right.

The value of x using the theorem of intersecting secants is 10

From the question, we have the following parameters that can be used in our computation:

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

Read more about intersecting secants at

https://brainly.com/question/26340897

#SPJ1

Answer:

First ones 90 and the second one is 48

Step-by-step explanation:

please brainliest me

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

Check this out-

https://brainly.com/question/29192128?referrer=searchResults

Answer:

C : Duane

Step-by-step explanation:

Your welcome

Silvia manages a sub shop and needs to prepare smoked turkey sandwiches. She has 3 lb of turkey in the cooler, and each sandwich requires 3 lb of turkey. How many sandwiches can she make?

we have that

each sandwich requires 3 lb of turkey

She has 3 lb of turkey in the cooler

therefore

3/3=1

The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.

We have to find the volume of the box and volume of the basketball to determine the space outside it.

Box is in rectangular shape.

Volume of the box = 24 × 24 × 24

                                = 13824 cm³

Basketball is spherical in shape.

Volume of the sphere = 4/3 π r³

                                     = 4/3 π (12)³

                                     = 2304π

                                     = 7234.56 cm³

Amount of space inside the box but outside the basketball is,

13824 cm³ - 7234.56 cm³ = 6589.44 cm³

Hence the required space is 6589.44 cm³.

Learn more about Volume here :

https://brainly.com/question/16686115

#SPJ1

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

Answer:

3.35

Step-by-step explanation:

just adding fractions