A hare moves at a speed of 234 inches in 7 seconds. What is its average speed in feet per hour?

Angle 1 + Angle 2 = 180°

(7x)° + (x + 20)° = 180°

(8x + 20)° = 180°

8x = 180 - 20

8x = 160

x = 160/8

x = 20

7(20) = 140° and 20 + 20 = 40°

Answer: 40° and 140°

Answer:

1 13/24 liters

Step-by-step explanation:

To find the answer we have to subtract the liters of water in the bucket from the liters of water in the pail.

3 3/8 - 1 5/6

27/8 - 11/6

change the denominator

3x27/24 - 4x11/24

81/24-44/24

37/24

convert into a mixed number

1 13/24 liters

Answer:

Mrs. Henderson's class has the greater ratio of boys to students.

Step-by-step explanation:

Mrs. Henderson has 16 boys in her class of 24 students.

The ratio of boys to students,

16:24 = 2:3 = 0.67

Mr. Gregory has 18 boys in his class of 30 students.

The ratio of boys to students,

18:30 = 3:5 = 0.6

Therefore, Mrs. Henderson's class has better ratio.

Answer:

FV= $819.03

Step-by-step explanation:

Giving the following information:

Initial investment= $600

Number of periods= 5*12= 60 months

Interest rate= 0.062/12= 0.0052

To calculate the future value of the investment, we need to use the following formula:

FV= PV*(1+i)^n

FV= 600*(1.0052^60)

FV= $819.03

Answer:

x= 25+20y

Step-by-step explanation:

De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:

x= 25+20y, donde

x= valor total a pagar

y= número de horas trabajadas

3 1/2 times Anna needs to fill the measuring cup.

Given,

She is using a 1/4 cup measuring cup to measure 7/8 cup of turnips

Solution:

Since she is using a 1/4 cup measuring cup, divide 7/8 cups by 1/4.

7/8 /1/4 = 7/8 * 4/1

= 7/2

= 3 1/2 times.

Therefore,

3 1/2 times Anna needs to fill the measuring cup.

To learn more about measuring cups, refer

https://brainly.com/question/20966276

#SPJ9

Answer:

....................

Answer:

The love seat cost $117.

Step-by-step explanation:

Given that,

A sofa and a love seat together costs $351.

Let love's seat = x

Sofa's seat = 2x

ATQ,

x+2x = $351

3x = $351

\(x=\dfrac{351}{3}\\\\x=\$117\)

So, the love seat cost $117.

The perimeter of triangle UVW is 69.5 units.

The perimeter of triangle UVW is calculated as follows;

Perimeter = UW + VW + UV

The length of UV is calculated by applying congruency theorem as follows;

UV/VW = RS/ST

UV/24 = 102/96

UV = 24 (102/96)

UV = 25.5

The perimeter is calculated as follows;

P = UW + VW + UV

P = 24 + 20 + 25.5

P = 69.5 units

Learn more about perimeters here: https://brainly.com/question/25092270

#SPJ1

Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency using algebra.

First, let's calculate how much money Kathy will withdraw in pounds and euros. She wants to withdraw half of her $300$ US dollars in each currency, so that would be $150$ US dollars for each.

To find the amount in pounds, we can divide $150$ US dollars by the exchange rate of $1.64$ USD per pound:

Amount in pounds = $\frac{150}{1.64} \approx 91.46$ pounds.

To find the amount in euros, we can divide $150$ US dollars by the exchange rate of $1.32$ USD per euro:

Amount in euros = $\frac{150}{1.32} \approx 113.64$ euros.

Rounding both amounts to the nearest whole number, Kathy will have approximately $91$ pounds and $114$ euros.

To determine how many more euros than pounds she will have, we subtract the amount in pounds from the amount in euros:

$114$ euros - $91$ pounds = $23$ more euros than pounds.

Therefore, Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency.

For more details about algebra

https://brainly.com/question/29131718

#SPJ4

Answer:

..........

Step-by-step explanation:

In a kite shaped quadrilateral ABCD. AB=AD= 12. CB=CD=17. And AC=25. The area of the kite is approximately 212.3375 square units.

A quadrilateral in geometry is a four-sided polygon with four edges and four corners. The name is a combination of the Latin words quadri, which is a variation of four, and latus, which means "side." Having four sides in two dimensions, a quadrilateral. Square, rectangle, rhombus, trapezium, parallelogram, and kite are all examples of 2D shapes that are quadrilaterals.

Let's call the length of diagonal BD = x. Then, using the Pythagorean theorem on triangle ABD, we can write:

\(x^2 = AB^2 + AD^2\\x^2 = 12^2 + 12^2\\x^2 = 144 + 144\\x^2 = 288\\x = sqrt(288)\\x = 16.97\)

So, the length of diagonal BD is approximately 16.97.

Next, we can find the length of the other diagonal, AC:

AC = 25

Finally, we can use the formula for the area of a kite:

Area = (d1 * d2) / 2

Area = (16.97 * 25) / 2

Area = 212.3375

So, the area of the kite is approximately 212.3375 square units.

To learn more about quadrilateral refer to:

brainly.com/question/23935806

#sSPJ1

Answer:

56.2 cm

Step-by-step explanation:

10 mm = 1 cm

562/10 = 56.2

Answer:

562 mm = 56.2 cm

Step-by-step explanation:

1 cm = 10 mm

562 mm = 562/10 cm

562 mm = 56.2 cm

Answer:

Mary increased both assets and liabilities.

Step-by-step explanation:

Option C is the correct option for the given problem; let’s consider all options and identify the different reasons in the number list.

From the second element (index 1) through the last element, this procedure iterates through the list of numbers using a for loop. It determines whether the current number is lower than the previous number after each repetition. If it is, the process gives a prompt False response, meaning that the list is not growing.

The procedure returns True, indicating that the list is growing, if the for loop concludes without running into a number that is less than the number it encountered before.

According to the issue definition, this technique implies the list has at least two elements. This guarantees that the for loop will always have a previous number to compare to.

Comments are written in italic to explain the code

Line 1: PROCEDURE Is Increasing(numberList)//start Is Increasing procedure with a list number List

Line 2: {//start procedure

Line 3: count<-2//set count to be 2

Line 4: REPEAT UNTIL (count -> LENGTH(numberList)//repeat from element 2 to last

Line 5: {//start repeat

Line 6: IF(numberList[count] < numberList[count-1]//if previous number is greater

Line 7: {//start if

Line 8: RETURN(true)//return true as next is greater than

Line 9: }//end if

Line 10: count<- count +1//increment to next element

Line 11: }//end repeat

Line 12: RETURN (false)//return false

Line 13: }//end procedure

To learn more about code here:

brainly.com/question/29328443

#SPJ4

Complete question is:

A list of numbers is considered increasing if each value after the first is greater than or equal to the preceding value. The following procedure is intended to return true if numberList is increasing and return false otherwise. Assume that numberList contains at least two elements. PROCEDURE isIncreasing(numberList) Tue 61 Line 1: Line 2: { Line 3: count 2 Line 4: REPEAT UNTIL(count > LENGTH(numberList)) Line 5: } IF(numberList[count] < numberList[count - 1]) Line 6: Line 7: To entd Line 8: RETURN(true) :80 onij { count count + 1 Line 9: Line 10: er onil Line 11: } Line 12: RETURN(false) BELAS(ConuE) Line 13: } Which of the following changes is needed for the program to work as intended? Lines 8 and 12 should be interchanged. c. In line 6, < should be changed to >=. a. b. Lines 10 and 11 should be interchanged. d. In line 3, 2 should be changed to 1. 3.

Answer:

1/3 x 1/3 = ?

3 x 3 = ?

Step-by-step explanation:

3 x 3 = 9 yesyes

1/3 x 1/3 = 1/9

now we add, right? 9/1 ( same as 9 ) + 1/9 = ?

does it want it in fraction, decimal, or whole?

Answer:

9 1/9 is the answer

Step-by-step explanation:

1/3 to the power of 2 becomes 1/9

3 to the power of 2 becomes 9

\(\frac{1}{9} + 9\)

whole numbers always go over a 1

\(\frac{1}{9} + \frac{9}{1}\)

make 9/1 have the same denominator as 1/9 by multiplying the top and bottom with 9

\(\frac{1}{9} + \frac{81}{9}\) \(= \frac{82}{9}\)

the simplify 82/9

\(\frac{82}{9} = 9\frac{1}{9}\)

Answer: 32 first graders were at the assembly

Step-by-step explanation:

80% of 40 can be written as 80% × 40

= 80/100 × 40

= 32

Thus, 80% of 40 is 32.

Answer:

b>3 2/15

Step-by-step explanation:

The last one

Answer: its 4

Step-by-step explanation: trust me bro i had this question too

Answer:

2/9 or 0.22222

Step-by-step explanation:

The subspace has a basis consisting of two vectors, its dimension is 2.

The subspace is given by the set of all vectors in \(R^4\) of the form (a, b, c, d) such that a - 3b = c = 0. We can rewrite this as:

(a, b, c, d) = (3b, b, 0, d) = b(3, 1, 0, 0) + (0, 0, 0, d)

This means that any vector in the subspace can be written as a linear combination of the two vectors (3, 1, 0, 0) and (0, 0, 0, 1). Therefore, these two vectors form a basis for the subspace.

To see that they are linearly independent, suppose that:

c1(3, 1, 0, 0) + c2(0, 0, 0, 1) = (0, 0, 0, 0)

This implies that c1(3, 1, 0, 0) = (0, 0, 0, 0), which in turn implies that c1 = 0. Substituting this into the original equation, we get:

c2(0, 0, 0, 1) = (0, 0, 0, 0)

This implies that c2 = 0 as well. Therefore, the only linear combination of (3, 1, 0, 0) and (0, 0, 0, 1) that equals the zero vector is the trivial one, which means that these two vectors are linearly independent.

Since the subspace has a basis consisting of two vectors, its dimension is 2.

To know more about subspace refer here:

https://brainly.com/question/26727539

#SPJ11

an intercepted arc is the arc that lies between the _two lines__ of an inscribed angle

Answer: 3/4

Step-by-step explanation:

When you rise from the first point , it’s three spaces to get in the same line as the second point, then when you run to the right , you are moving four spaces to the right therefore the answer is 3/4

Answer:

Step-by-step explanation:

From the question, we are informed that the price of a gallon of gas in one month was $2.60 and that the following month, the price was $2.99.

Change in price = New price - Old price

= $2.99 - $2.60

= $0.39

Percentage increase= Change in price/Old price × 100

= 0.39/2.60 × 100

= 0.15 × 100

= 15%

The percent increase in the price of one gallon of gas is 15%.

Answer:

18

Step-by-step explanation:

18