Henry and Holly Hitch are a couple, who like to eat out and go to the theater. In addition to the money it takes for these activities, they must get a babysitter for each evening out, which is done through their babysitting cooperative. During the coming year, they will have $12,000, and 300 hours of babysitting credits, to use for their dining out and theater visits. Each dinner evening takes 3 hours and costs $150, while each evening at the theater also takes 3 hours and costs $100. Use x to denote the number of dinners out and y to denote the number of theater visits. Write down Henry and Holly's time budget constraint and money budget constraint.

Answer: Detailed Answer:

The Greatest Common Factor (GCF) for 63 and 105, notation CGF(63,105), is 21. Explanation: The factors of 63are 1,3,7,9,21,63; The factors of 105are 1,3,5,7,15,21,35,105.

Step-by-step explanation:

Answer:

1.parenthesis, exponents, multiplication, division, addition, subtraction (pemdas is the Oder of operations)

2. please enjoy my dish and seafood

3.14

4. 4

5. 5

6. 7

7.25

Answer:

Step-by-step explanation:

You have to find 1 number that equals the number you are given when you multiply it by itself.

for example a times a = b

Square root of 144?

12x12=144

We can calculate the square root of a number as follows -

A = √x

In mathematics, a square root of a number x is a number y such that

y² = x.

Given is number and it is asked to find its square root.

Assume the number whose square root is to be found be [x]. Then, we can calculate the square root as -

A = √x

For example -

x = 9

A = √9

A = √(3 x 3)

A = √(3)²

A = 3

Therefore, we can calculate the square root of a number as follows -

A = √x

To solve more questions on square root, visit the link below-

https://brainly.com/question/13305065

#SPJ2

Answer:

i dont know the answer but good luck

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

$234

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 2600 × 0.03 × 3 = 234

I = $ 234.00

The simple interest accumulated

on a principal of $ 2,600.00

at a rate of 3% per year

for 3 years is $ 234.00.

Answer:

$234

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(5,-4)

Answer:

C

Step-by-step explanation:

(5,-4) by using elimination method

Answer:

6/11

Step-by-step explanation:

Answer:

numbers 1,4,6,7 are all equations

Step-by-step explanation:

just look for the equal sign if there's no equal sign then its an expression not an equation

Answer:

All of the equations are the ones with the equal signs (=)

I hope this helps!

Answer:

[tex]\frac{3}{5} +\frac{1}{5} =\frac{4}{5}[/tex]

Step-by-step explanation:

The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be [tex]\frac{4}{5}[/tex].

Answer:

70

Step-by-step explanation:

10 * 7 = 70 square ft

Answer:

20 individual cups

Step-by-step explanation:

5 pounds is equivalent to (5 lb)(16 oz/lb) = 80 oz.

Dividing 80 oz by 4 oz, we get 20.  Harper made 20 individual cups.

Answer: 4 units

Step-by-step explanation:

Answer:

probably C I'm terrible at math but that look about right

Answer:

1 / 6

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.

The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.

The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.

n(S) = 36

Let E be an event that the numbers showing face up are the same.

E = {11, 22, 33, 44, 55, 66}, n(E) = 6

The probability of E = P(E) = number event / number of possible outcomes =

P(E) = n(E) / n(S) = 6 / 36 = 1 / 6

Answer:

$8800 might be wrong on that not sure

Answer:

16.8

Step-by-step explanation:

Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.

Answer:

16.8 is the measurement of OM

Step-by-step explanation:

In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.

Answer:

17.93

Step-by-step explanation:

y= 2.11x+5.27

x= the # of years

y=total

2000---->2006, six years have past

y=2.11(6)+5.27

y=17.93

Answer:

-48.89

Step-by-step explanation:

|5.74 + 2.89| – |16.20 + 41.32

|8.63| – |57.52|

= - 48.89

Answer:

x = 2, -2, -1/5

Step-by-step explanation:

g(x)= 5x^3+x^2-20x-4

g(x)= x^2(5x+1)-4(5x+1)

g(x)=(x^2-4)(5x+1)

g(x)=(x-2)(x+2)(5x+1)

x-2=0

x= 2

x+2=0

x= -2

5x+1=0

x= -1/5

Answer:

Step-by-step explanation:

arc length = rθ = 10·π/6 = 5π/3 ≅ 5.2 inches

Answer:

The Correct answers are, the top two (a and d), and the very bottom one (c).

Step-by-step explanation:

I got the answers right in my test!

Have a great day!!

Answer:

ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.

Step-by-step explanation:

Answer:

Answer:

Part A:  99% CI is given by : (0.38998, 0.44236)

Part B:

The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.

Part C:

There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02

Step-by-step explanation:

Part A:

The test statistic p^ ±z sqrt (p`q`/n) will be used because

It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.

Here

p= proportion of vaccine- eligible  people who received flu vaccine

Sample size= n= 2350

Sample success= p^=978/2350= 0.4161

Sample failure= q^= 1-p`= 1- 0.4161= 0.5838

For 99% CI the z- value is 2.576

Using the test static

p^ ±z sqrt (p^q^/n)

0.4161± 2.576 sqrt( 0.4161*0.5838/2350)

0.4161± 2.576 * 0.010167

0.4161± 0.02619

(0.38998, 0.44236)

Part B:

The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.

Part C:

z* sqrt ( p^q^/n) ≤ 0.02

sqrt ( p^q^/n) ≤ 0.02/z

Taking square of both sides

( p^q^/n) ≤ [0.02/z]²

Reciprocating both sides

n/p^q^ ≥[ z/ 0.02]²

n≥[ z/ 0.02]²p^q^

n≥  z²p^q^/[  0.02]²

Putting the values

n ≥(2.576)² (0.5)(0.5)/ 0.2²

n≥ [2.576 /2 (0.02) ]²

n≥4,147.36

There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02

Answer:

The expression is simplified to:

15/(c^8)

Step-by-step explanation:

I have attached an image to make the question clearer.

15c^(-8)d^(0).

Using the zero exponent property (a^0 = 1),

d^0 = 1. Therefore we have:

15c^(-8)(1) = 15c^(-8).

Using the negative exponent rule [a^(-r) = 1/(a^r)],

c^(-8) = 1/(c^8). Therefore we have:

15 x 1/(c^8) = 15/(c^8).

Therefore, The expression is simplified to: 15/(c^8).

Answer: See step by step

Step-by-step explanation:

Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J  is the midpoint we can construct a congruence statement of  KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.

Answer:

12

Step-by-step explanation:

you take 108-12=96

then you take 96/8=12