Kiera's lemon cookie recipe calls for 5 cups of sugar. How much sugar would Kiera use to make 3 5/8 batches of cookies?

Answer:

D

Step-by-step explanation:

if you move the preimage on the image you can see that the two figures are equals

By solving a linear equation, it can be calculated that

Each club can order 21.1 cupcakes if they both have the same amount of

money to spend

What is a linear equation?

Equation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by an equal to sign

A one degree equation is called linear equation

Let the number of cupcakes ordered by each club be c

The band would like to order cupcakes from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee

Total amount spent = $(13 + 3.35c)

The orchestra would like to order cupcakes from Publix at $2.90 each

and a $22.50 order fee

Total amount spent = $(22.5 + 2.90c)

By the problem,

The linear equation is

13 + 3.35c = 22.5 + 2.90c

3.35c - 2.90c = 22.5 - 13

0.45c = 9.5

c = 21.1

This solution is not viable as the number of cupcakes must be an integer not a decimal.

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Examples of unit rates are Dollars per pound calories and earnings per hour. The rest is not the unit rate.

What is the unit rate?

An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.

Earnings per hour are a unit rate since it is calculated for an hour.

Dollars per pound calories is a unit rate.

Serving $25.50 for 5 gallons is not a unit rate, the cost is for 5 gallons. If the cost is for 1 gallon then it will unit rate.

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[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment

What is Compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

According to given question:

Principle Amount (P) = $200, 000

Rate(r) = 4% yearly

Rate(r) = 4/12 % Monthly

Rate(r) = 1/3 % Monthly

Time = 20 years = 240 months

⇒ 240 is the number of payment needed to pay

n = 240

Therefore, the monthly payment needed to pay

⇒         [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]

  ⇒     [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]

   ⇒    [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]

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41% of the math team's total members are brand-new recruits.

It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.

Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.

The percentage of the entire membership that the number of new members represents is determined to be

=(14/34)×100

=41 %

0.41 x 100 = 41%

This means that 41% of the club is new members!

Thus, the number of new members is 41% of the total membership of the maths team.

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The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.

1. Calculate the odds of exposure for cases: 11/5 = 2.2

2. Calculate the odds of exposure for controls: 108/436 = 0.25

3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8

4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.

The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).

Odds ratio = (11/5) / (108/436) = 2.2

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The numbers of the atoms of each element are;

6 atoms of carbon, 12 atoms of oxygen

12 atoms of hydrogen, 6 atoms of oxygen

6 atoms of carbon, 12 atoms of hydrogen, 6 atoms of oxygen

12 atoms of oxygen

In a chemical reaction, there is the combination of the atoms of the reactants and a consequent recombination as the products are formed. In accordance with the law of the conservation of mass, we know that the number of atoms before reaction must be equal to the number of atoms after reaction.

Now we have to look at the atoms and count up the number of atoms of each element in each of the compounds and this is how we are able to obtain the number of each atom as shown above.

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Answer:

Sum of 12-sided polygon=1800°

Measure of each interior angle of a regular12-sided polygon=150°

Answer: 68600

hope it helps!

Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.

Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.

Complete question:-

How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?

a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size

b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size

c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size

d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size

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Answer:

The value of x is (y + 3)/2

Step-by-step explanation:

y = 2x - 3

y + 3 = 2x - 3 + 3

y + 3 = 2x

2x/2 = (y + 3)/2

x = (y + 3)/2

Thus, The value of x is (y + 3)/2

Answer:

x = (y + 3)/2

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ y = 2x - 3

Then the value of x will be,

→ y = 2x - 3

→ 2x - 3 = y

→ 2x = y + 3

→ x = (y + 3)/2

→ x = (y/2) + (3/2)

Hence, answer is x = (y + 3)/2.

The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.

Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:

sin(A) = BC / AC

Substituting the given values, we get:

sin(24°) = BC / 14

We can use a calculator or look up the value of sin(24°) to get:

sin(24°) ≈ 0.406

Solving for BC, we get:

BC = 14 * sin(24°) ≈ 5.72

To find AC, we can use the cosine function:

cos(A) = AC / AC

Substituting the given values, we get:

cos(24°) = AC / 14

We can use a calculator or look up the value of cos(24°) to get:

cos(24°) ≈ 0.913

Solving for AC, we get:

AC = 14 x cos(24°) ≈ 12.67

Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.

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The rate of interest in one account whose investment is $2300 will be 3.21%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Aniyah puts $2300 in one record and $1400 in a record paying 4 % higher interest. Toward the finish of one year, she had procured $130 in interest.

Let 'x' be the interest. Then the equation is given as,

(2300 × x × 1)/100 + (1400 × 4 × 1) / 100 = 130

Simplify the equation, then we have

23x + 56 = 130

23x = 74

x = 3.21%

The pace of revenue in one record whose speculation is $2300 will be 3.21%.

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Answer:

To determine the test statistic for this problem, we need to first calculate the standard error of the mean. This is given by the formula:

Standard error of the mean = Standard deviation / sqrt(n)

where n is the number of samples in the population. In this case, the standard deviation is 1 minute and the number of samples is 20, so the standard error of the mean is equal to 1 / sqrt(20) = 0.22.

We can now use this value to calculate the test statistic, which is given by the formula:

Test statistic = (Sample mean - Population mean) / Standard error of the mean

In this case, the sample mean is 3.7 minutes, the population mean is less than 3.5 minutes, and the standard error of the mean is 0.22. Since the population mean is less than 3.5 minutes, we will use 3.5 as the value for the population mean in our calculation. Plugging these values into the formula, we get:

Test statistic = (3.7 - 3.5) / 0.22 = 0.22 / 0.22 = 1

Therefore, the test statistic for this problem is 1. This value indicates that the sample mean is slightly higher than the population mean, but not by a significant amount.

Answer: y = 5x

Step-by-step explanation:

Answer:

i think 2/21 i think im wrong

Step-by-step explanation:

Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.

En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:

x - Cantidad de dinero de Fátima.

y - Cantidad de dinero de Gabriel.

z - Cantidad de dinero de José.

Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.

x + y + z = 1080

Gabriel tiene 3 veces lo que José tiene.

y = 3 · z

Fátima tiene $ 70 menos que José.

x = z - 70

A continuación, resolvemos el sistema de ecuaciones lineales:

x + y + z = 1080

(z - 70) + 3 · z + z = 1080

5 · z - 70 = 1080

5 · z = 1150

z = 1150 / 5

z = 230

x = z - 70

x = 230 - 70

x = 160

y = 3 · z

y = 3 · 230

y = 690

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From the given options, option 2. x= -8 is the correct option. Here, the x is change in height in inches so the, change in height is -8 inches.

A linear equation is simply an equation with the highest degree always being 1. The standard form of a linear equation in one variable is Ax + B = 0. x is a variable in this equation, and A and B are constants. A two-variable linear equation has the standard form Ax + By = C. The variables x and y are variables, their coefficients A and B are variables, and C is a constant.

Given, linear equation is

[tex]4(2x+1)=6x-12\\\\8x+4=6x-12\\\\8x-6x=-4-12\\\\2x=-16\\\\x=-8[/tex]

Hence, the x equals to -8.

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[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.

Given liner equation :

[tex]\frac{1}{3} z + y = 2[/tex]

[tex]y = 2 - \frac{1}{3} z[/tex]

[tex]y= - \frac{1}{3} z +2[/tex]

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Answer:

1.) 0.25

2.) 0.50

3.) 0.125

4.) 2.25

Step-by-step explanation:

When turning percentages into decimals, you move the decimal point two places to the left.

EX:

25%

25.0 (move the decimal point two places to the left)

2.5

.25

0.25 (add any zeros if necessary)

Hope this helps!!

It doesn't matter where the decimal point is in a percentage, as long as you move the point two places to the left, you are still turning it into a decimal.

TRUE: The given contrapositive statement are correct,

If m ≤ 3, then, m < 5.

For the stated conditional statement -

If m ≤ 3, then, m < 5.

Then, contrapositive statement for the given statement will be

(m < 5)' ⇒ (m ≤ 3)'

That is;

(m > 5) ⇒ (m > 3)

That is, if m> 5 then, m > 3, which is true.

Thus, the contrapositive statement for the given conditional statement is true.

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Answer: 32 females

Step-by-step explanation:

28 divided by 7 = 4

so, multiply 8 by 4 as well.

Answer: 32 females are at the movie

Step-by-step explanation:

8(females):7(males)

x:28

28/7= 4

x=4x8

x=32

There are 32 females

Answer:

5

Step-by-step explanation:

2 +3 = 5    

Answer:

1. $19.80

2. 0.92

3. 40.87

4. 119.94

5. 7.41

6. 0.615

Step-by-step explanation:

1. $3.96 x 5 = $19.80

2. 0.023 x 40  

⇒ 0.023 x 10 = 0.23

⇒ 0.23 x 4 = 0.92

3. 0.67 x 61

⇒ 0.67 x 1 = 0.67

⇒ 0.67 x 60 = 40.2

⇒ 0.67 + 40.2 = 40.87

4. $19.99 x 6

⇒ 19.99 x 6 = 119.94

5. 0.13 x 57

⇒ 0.13 x 50 = 6.5

⇒ 0.13 x 7 = 0.91

⇒ 6.5 + 0.91 = 7.41

6. 0.041 x 15

⇒ 0.041 x 10 = 0.41

⇒  0.041 x 5 = 0.205

⇒ 0.41 + 0.205 = 0.615

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Answer: The Tri-State Pick 3 lottery game offers a choice of several bets, including a "box" bet where you choose a three-digit number and win if the number you choose has the same digits as the winning number, in any order. The expected payoff for a $1 bet on the box is $83.33.

To find this expected value, we need to consider all the possible ways that the winning number could be chosen and calculate the probability of each outcome. Since the winning number is chosen at random, each of the 10 possible digits (0 through 9) is equally likely to be chosen for each of the three positions in the winning number.

Since the box bet pays off if the digits of your chosen number match the digits of the winning number, regardless of their order, the number of winning combinations is equal to the number of ways to arrange the three digits of the winning number. This is equal to 3! (3 factorial), which is equal to 6.

Since there are a total of 10 possible digits for each position and the winning number has three positions, there are a total of 10 x 10 x 10 = 1000 possible winning numbers. Of these, 6 will pay off for a box bet, so the probability of winning a box bet is 6/1000 = 0.006.

Since the expected value of a bet is equal to the probability of winning multiplied by the payoff, the expected value of a $1 bet on the box is 0.006 x $83.33 = $0.05. Therefore, the expected payoff for a $1 bet on the box is $0.05.

Answer:

It is 11-9/16

Step-by-step explanation:

Answer:

290

Step-by-step explanation:

210 x 2 = 420

420 - 130 = 290