What is the length of RS?

Answer: It has 29 animals from this info.

The ratio comparing the number of monkeys to the number of chimpanzees in the zoo is[tex]\(19\) to \(10\), \(19:10\), or \(19/10\). This indicates that for every \(19\) monkeys, there are \(10\)[/tex]chimpanzees in the zoo.

The ratio comparing the number of monkeys to the number of chimpanzees in the zoo is expressed as [tex]\(19\) to \(10\), \(19:10\), or \(19/10\). This indicates that for every \(19\) monkeys, there are \(10\) chimpanzees in the zoo. Additionally, it can be written as \(10\) to \(19\), \(10:19\), or \(10/19\), showing the reverse comparison where for every \(10\) chimpanzees, there are \(19\) monkeys. Lastly, it can be represented as \(1.9:1\) or \(1.9/1\), highlighting that for every \(1.9\) monkeys, there is \(1\)[/tex]chimpanzee. These different representations offer flexibility in conveying the proportional relationship between the two quantities, allowing for a clearer understanding of the relative abundance of monkeys and chimpanzees in the zoo.

complete question

Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. (1 point) A zoo has 19 monkeys and 10 chimpanzees. 19 to 10, 19:10, [tex]19/10 10 to 29, 10:29, 10/19 19 to 29, 19 : 29, 19/29 10 to 19, , 10:19 10/19[/tex]

Answer:

C. 6

Step-by-step explanation:

2                  n

-------- = -------------

7                   21

We can use cross products to solve this.

2 * 21 = 7 * n

42 = 7n

Divide each side by 7

42/7 = 7n/7

6 =n

Answer:

There will be an additional 150 customers.

Step-by-step explanation:

First, we need to find what 5% of 3000 is, to do this we need to use the following formula:

Amount x [tex]\frac{percentage}{100}[/tex]

Plug the values in:

3000 x [tex]\frac{5}{100}[/tex] = 150

So there will be an additional 150 customers!

Maria expects 150 additional customers next week, based on a 5% increase from her current customer count of 3000. The total number of customers anticipated is 3150. This calculation involves finding 5% of the current count and adding it to the original number.

To find out how many additional customers Maria is expecting, we need to calculate 5% of the current 3000 customers and then add this number to the original customer count.

5% of 3000 = 0.05 * 3000 = 150 customers

3000 + 150 = 3150 customers

So, Maria is expecting an additional 150 customers next week due to the promotion.

Luz will have to pay $390 per month for 24 months to repay her $9360 car loan in full.

To determine how many months Luz will need to pay for her car loan, we can use a simple division since the question doesn't mention anything about interest rates affecting the payments.

We divide the total loan amount she has to pay, which is $9360, by her monthly payment of $390.

Months to pay off the loan = Total loan amount ÷ Monthly payment
Months = $9360 ÷ $390
Months = 24

Luz will therefore have to make payments for 24 months to repay her car loan in full.

Answer:

24 photos per day i believe

Answer:

D

Step-by-step explanation:

The original figure was was moved 2 units to the left (-2), and 5 units down (-5).

Answer:

D is correct.

Step-by-step explanation:

In the given figure two rectangle MNOP and M'N'O'P'

To choose correct transformation rule from MNOP to M'N'O'P'

So, we change for point M

M(-2,3) → M'(-4,-2)

If shift M 2 unit left

M(-2,3) → M(-2-2,3)

Now, shift 5 unit down

M(-2-2,3) → M(-4,-2) ⇔M'(-4,-2)

So,

(x,y) → (x-2,y-5)

Rule: (x,y) → (x-2,y-5)

Using this rule get MNOP to M'N'O'P'

Answer:

you cannot do a square root of a negative number so there is no answer.

Step-by-step explanation:

Answer:

[tex]1\frac{1}{5}[/tex]

Answer:

1 1/5

Step-by-step explanation:

There is one whole(5/5) and then 1 extra 5th(1/5), so the answer is 1 1/5.

Answer:

-0.39 and 3.89

Step-by-step explanation:

By using the quadratic formula it will give you the answers of x= 7 + or - square root of 73 all over 4.

When you do the math of both of the equations it will give you the answers above

The ratio of tickets sold by Valerie to those sold by Mark is 7:4, after simplifying the original ratio of 42:24 by dividing both numbers by 6.

To find the ratio of tickets sold by Valerie to those sold by Mark, we simply compare the two quantities. Valerie sold 42 tickets, and Mark sold 24 tickets. Therefore, the ratio can be expressed as 42:24. This ratio can be simplified by dividing both numbers by their greatest common divisor, which is 6 in this case. Thus, after simplification, the ratio of tickets sold by Valerie to Mark is 7:4. This process illustrates the method of comparing quantities and simplifying ratios, providing a clear and concise representation of the relative ticket sales between Valerie and Mark.

Answer:

$22.19

Step-by-step explanation:

20% off the original price = $110.95 - (20% x $110.95)

20% x $110.95 = $22.19

$110.95 - $22.19 = $88.76

difference = $110.95 - $88.76 = $22.19

Answer:

You will save $22.19 when compared to the original sale price.

Step-by-step explanation:

The original sale price of an item at markdowns is $110.95.

You have an additional 20% off coupon for markdowns for purchases totaling $90.00 or more.

So, this becomes:

[tex]0.20\times110.95=22.19[/tex] dollars

Hence, you will save $22.19 when compared to the original sale price.

Answer:

13,26,39,52,65,78 are the multiples 13 and 1 are the all of the factors

Hi There!

List the multiples and factors of 13:

Multiples: 13, 26, 39, 52, 65...

Factors: 1, 13...

Hope This Helps :)

Answer:

100

Step-by-step explanation:

250/100×22= 5500/100

=55

Answer:

Step-by-step explanation:

Given a geometric sequence as

66 a0, -11, 22, 56 a1, 88, -176

We have to find the common ratio and also the missing numbers.

A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Hence by comparing two consecutive numbers let us find common ratio.

Consider 88 and -176.  -176 = 88(-2) Hence common ratio is -2

a0 = -11/-2 = 5.5

a1 = 88/-2 = -44

Missing terms are -132 and 5.5

common ratio = -2

Step-by-step explanation:

To find the equation of a line given a point and a parallel line we must use point-slope form.

y - y1 = m(x - x1)

When we plug into this, we use the point in for (x1, y1) and the slope of the parallel line as m.

[tex]\left\{\begin{array}{ccc}3x+y=9\\y=3x+6&\text{subtract 3x from both sides}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x+y=9\\-3x+y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=15\qquad\text{divide both sides by 2}\\.\qquad\qquad\boxed{y=7.5}\\\\\text{Put the value of y to the first equation}\\\\3x+7.5=9\qquad\text{subtract 7.5 from both sides}\\3x=1.5\qquad\text{divide both sides by 3}\\\boxed{x=0.5}\\\\Answer:\ \boxed{x=0.5\ and\ y=7.5\to(0.5,\ 7.5)}[/tex]

Answer: 96 truckloads, 95 will be full, the last on will have 10 cars

Step-by-step explanation:  1150/12= 95.888> 95*12=1140, 1140+10=1150

Answer:4x+8

Step-by-step explanation:

4x+8, 4*x+4*2 for the distributive property

Answer: The value of x is [tex]\frac{50}{3}[/tex]

Step-by-step explanation:

Let the original price of gasoline be y

Since we have given that

Price of gasoline rose by 20% during January fell by 20% during February rose by 25% in March and fell by x% in April.

So, According to question,

In January, Price became

[tex]\frac{100+20}{100}\times y=\frac{120}{100}\times y=\frac{6}{5}\times y=\frac{6y}{5}[/tex]

Similarly, In February, Price became

[tex]\frac{100-20}{100}\times \frac{6y}{5}=\frac{80}{100}\times \frac{6y}{5}=\frac{4}{5}\times \frac{6y}{5}=\frac{4}{5}\times \frac{6y}{5}=\frac{24y}{25}[/tex]

Similarly, in March, Price became,

[tex]\frac{100+25}{100}\times \frac{4\times 6y}{25}=\frac{125}{100}\times \frac{6\times 4y}{25}=\frac{5}{4}\times \frac{24y}{25}=\frac{5}{4}\times \frac{24y}{25}=\frac{6y}{5}[/tex]

similarly, in April , Price became,

[tex]\frac{100-x}{100}\times \frac{6y}{5}[/tex]

so, we have given that the price of gasoline at the end of April was the same as it had been at the beginning of January.

So, it becomes,

[tex]\frac{6y}{5}\times \frac{100-x}{100}=y\\\\6(100-x)=500\\\\600-6x=500\\\\600-500=6x\\\\100=6x\\\\x=\frac{100}{6}=\frac{50}{3}[/tex]

Hence, the value of x is [tex]\frac{50}{3}[/tex]

Answer:

x= 16 2/3

Step-by-step explanation:

Price will be p

The price in January increases by 20%, it will be 6p/5. The price in February decreased by 20%, it becomes 24p/25. The price in March rose by 25%, it will be 6y/5.  

April: 6y/5 times 100-x/100 = p     6(100-x)=500  100=6x   x= 16 2/3

Answer:

M = (-13/2, -17/2)  

Step-by-step explanation:

The midpoint of two points is half-way between the x-values and the y-values.

The formula is

M = ((x₁ +x₂)/2, (y₁ + y₂)/2)

For the points (−10,−7) and (−3,−10),

M = ((-3 + (-10))/2), (-10 + (-7))/2))

M = ((-3 - 10)/2), (-10 - 7)/2))

M = (-13/2, -17/2)

The graph below shows your two points at (−10,−7) and (−3,−10) and the mid-point at (-13/2, -17/2).

Answer: r > 6

Step-by-step explanation:

 3r < 4r - 6

-4r   -4r      

 -r  <      -6

÷-1 ↓     ÷-1

 r   >      6

Answer: False

Explanation: What this statement describes is not a trapezoid, but rather a kite. A kite is a quadrilateral with two sides that are next to each other (ie adjacent) that are congruent. This is the result of combining two congruent triangles together. The diagonals of any kite are perpendicular, which is another way of saying "the diagonals have slope that are negative reciprocals".

If you had adjacent sides congruent, and a pair of parallel opposite sides, then the other two opposite sides must be parallel as well, but this would make the figure a parallelogram and not a trapezoid. This is another way to see why the answer is false.

Check out the attached image for an example.

Answer:

10/14, 15/21, and 20,28

Step-by-step explanation:

You just need to multiply a number on the numerator and the denominator. Remember, whatever you do to the numerator you have to do on your denominator.

Answer: The answer is $0.25.

Step-by-step explanation:

divide the amounts of money by the pounds to get dollars for each pound then subtract the numbers  

and the answer is $0.25.

Answer:

you're answer is D.) 0.25

Step-by-step explanation:

I took the test and scored pretty good

Answer:

Height of the kite is [tex]=50 \sqrt{3}[/tex] meters.

Ground distance from the kite to the person flying the kite is 50 meters.

Step-by-step explanation:

Given that a string of a kite is 100 meters long and it makes an angle of 60° with horizontal.

Which mans we are getting a shape of right angle triangle as shown in picture. Where "y" is the height of the kite and "x" is the ground distance from the kite to the person flying the kite. Now we can use trigonometric ratios to find the values of x and y.

[tex]\sin\left(60^o\right)=\frac{\left[opposite\right]}{\left[hypotenuse\right]}=\frac{y}{100}[/tex]

[tex]\sin\left(60^o\right)=\frac{y}{100}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{y}{100}[/tex]

[tex]\frac{\sqrt{3}}{2}*100=y[/tex]

[tex]50 \sqrt{3}=y[/tex]

Hence height of the kite is [tex]=50 \sqrt{3}[/tex] meters.

similarly:

[tex]\cos\left(60^o\right)=\frac{\left[adjcent\right]}{\left[hypotenuse\right]}=\frac{x}{100}[/tex]

[tex]\cos\left(60^o\right)=\frac{x}{100}[/tex]

[tex]\frac{1}{2}=\frac{x}{100}[/tex]

[tex]\frac{1}{2}*100=x[/tex]

[tex]50=x[/tex]

Hence ground distance from the kite to the person flying the kite is 50 meters.

The height of the kite and the distance from kite to person are 86.6 meters and 50 meters respectively.

Using Trigonometry concept ;

The height of the kite , y can be obtained thus ;

Sin(60°) = y / 100

y = sin(60°) × 100

y = 86.6 meters

B.)

The distance from the kite to the person would be ;

Tan(60) = 86.6667 / x

d = 86.6667 / Tan(60)

d = 50 meters

Therefore, the height of the kite and the distance from kite to person are 86.6 meters and 50 meters respectively.

Answer:

No

Step-by-step explanation:

For this to be a function there must be only 1 value of y ( range) for any given value of x in the domain.

This is not the case here as

x  = - 1 → y = - 2 and x = 6 → y = - 2

Therefore the relation is not a function

The farmer originally bought 41 pigs.

8(x - 3) = 109 (his total profit) + 180 (cost price)

8x - 24 = 289

8x = 313

x = 39.125

= 8 * 38

= $304

= $304 + $180 = $484

Therefore, the farmer originally bought 41 pigs.

Answer: The answer is A

Step-by-step explanation: You use substitution because it says that 4-t is equal to r.

Answer:

Technician B only

Step-by-step explanation:

Clunking Noises From the Front Suspension. One of the most common symptoms of a problem with suspension ball joints is clunking noises coming from the vehicle's front suspension. ... Usually, the clunking will get continuously louder as the ball joints wear out, or until they eventually completely fail and break.

Final answer:

Technician B is correct. A loud squealing noise during sharp turns may be caused by worn ball joints and indicates a potential issue with the suspension system.

Explanation:

Technician B is correct. A loud squealing noise during sharp turns can indeed be caused by worn ball joints. This indicates a potential issue with the suspension system which includes components like ball joints. On the other hand, a hissing or whirring sound when the wheel is turned all the way to the stops in a vehicle with power steering is not typically considered a normal condition.

If x and y are proportional, then the quotient y and x is constant.

[tex]\dfrac{y}{x}=a-constant[/tex]

The equation of a Proportional Relationship:

[tex]\dfrac{y}{x}=a\qquad\text{multiply both sides by }\ x\neq0\\\\y=ax[/tex]

Therefore your answer is