This needs to be done quickly!!

Answer:

(5,1)

Step-by-step explanation:

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer:

9.59

Step-by-step explanation:

You divide 6.85 by 5 to get 1.37, then you multiply it by 7 to get your answer 9.59 :)

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer: $72

Step-by-step explanation:

x = money M had before he bought the hat

0.25x = 18

x = 18/.25 = 72

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. We can conclude that after 2 years you will have $1954.13 in your account.

To solve this we are going to use the formula for the future value of an ordinary annuity:

\(P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}]\)

where

FV is the future value

P is the periodic payment

r is the interest rate in decimal form

n is the number of times the interest is compounded per year

t is the number of years

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. we need to find how much money you have in this account after 2 years.

Since the interest is compounded monthly, it is compounded 12 times per year; therefore,

r = 48% = 0.48

n = 12

Let's put the values in our formula:

\(P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}]\\\\50[(\frac{(1+(0.48/12)^{12\times 3}-1)}{(0.48/3)}]\\\\$1954.13\)

Thus, We can conclude that after 2 years you will have $1954.13 in your account.

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Answer:

Step-by-step explanation:

make it 1 triangle and trapezium

1) 1/2 x 7 x 8 = 28 in2

Answer:

56 in^2

Step-by-step explanation:

A = b* h

A = (8) * (7)

A = 56

A = 56 in ^2

Hope this helps!

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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We can use a table that only has 2 rows to solve a problem about a proportional relationship by comparing the variables and looking out for the constant.

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportional relationship can be identified by looking at data, an equation, or a graph.

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Since Stephanie carries a 100/300/100 liability policy, Stephanie's insurance can cover up to $100,000, therefore Stephanie have enough coverage to cover the property damages.

Property damage is any harm or destruction to real or tangible personal property that is brought on by carelessness, intentional obliteration, or a natural disaster.

A more serious form of property damage known as destruction of property involves physical harm to items that are either beyond repair or would be very expensive to replace.

We see that Stephanie has an insurance policy and because she has a 100/300/100 liability policy, she can cover for the damage because it is less than $100,000

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Answer: 4000

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.

====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.

Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = \(\left[\begin{array}{ccc}5\\3\end{array}\right]\)  × \(\left[\begin{array}{ccc}10\\2&\end{array}\right]\)  ÷  \(\left[\begin{array}{ccc}15\\3\\\end{array}\right]\)  = 450 ÷ 3003 = 0.15

Given:

The number of chosen 5 balls out of 15 will be:

= \(\binom{15}{5}\)

= \(3003\)

The number of ways 3 white balls chosen from 5 as well as 2 red balls chosen from 10 will be:

= \(\binom{5}{3}\times \binom{10}{2}\)

= \(450\)

hence,

The probability that 5 random balls selected will be:

= \(\frac{No. \ of \ ways \ the \ event \ can \ happen}{Total \ no. \ of \ ways}\)

By substituting the values, we get

= \(\frac{450}{3003}\)

= \(0.1499\)

Thus response above is correct.

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Answer:

7.99 or D

Step-by-step explanation:

It is simple addition.

Answer:

35.w/g=m

36. P=1/2Q-15

37. R=IV

38. b=-mx+y

39. a) t=-d-e+f

     b) t=19.175

40. No, X=-2.4

Step-by-step explanation:

Explanation for 40:

2(x-4)-4x=-6x+9x+4

first do the parentheses

2x-8-4x=-6x+9x+4

next combine like terms

-2x-8=3x+4

add 2x to each side

-8=5x+4

subtract 4 from each side

-12=5x

divide both sides by 5

x=-2.4

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer:

7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question

Step-by-step explanation:

The given expression (7 + 3) represented in difference form as \(7-(-3)\)

Difference of numbers :

We have to express 7 + 3 as difference of two number.

As we know that,

           \(a-(-b)=a+b\)

In above expression, (a + b) is difference of two number a and -b.

Similarly,

            \(7+3=7-(-3)\)

Thus, (7 + 3) represented in difference form as \(7-(-3)\)

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Answer:

Event a has the probablitity of 50% that it will happen and event b has the same. you have the probability of 50% of choosing a or b

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

1. 12x - 18 = 6(2x -3)

2. 15x + 25 = 5(3x + 5)

3. 14x + 21 = 7(2x + 3)

4. 5x - 5 = 5(x - 1)

5. 12x - 30 = 6(2x - 5)

6. 10x + 8 = 2(5x + 4)

7. 27x + 18 = 9(3x + 2)

8. 4x - 20 = 4(x - 5)

9. 20x + 30 = 10(2x + 3)

10. 4(x + 5) = 4x + 20

11. 3(x - 2) = 3x - 6

12. 5(2x + 4) = 10x + 20

13. 5(x - 1) = 5x - 5

14. 1/2(10x + 12) = 5x + 6

15. 4(2x + 4) = 8x + 16

16. 2(5x - 2) = 10x - 4

17. 2(x - 8) = 2x - 16

18. 4(2x + 1) = 8x + 4

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:  The combined amount of raisin and oatmeal cookies sold=80. Step-by-step explanation: Let x be the combined amount of raisin and oatmeal cookies sold.

Step-by-step explanation: i really hope this helps but lmk if i am wrong have a good day/night (: <3

Answer:

not lenguague spanish

Step-by-step explanation:

that bad

Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

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Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation: