sara bought x pounds of chocolate covered raisins, which sell for $1.50 a pound, and y pounds of yogurt covered raisins, which sell for $1.20 a pound. sara bought a total of 40 pounds of the two types of raisins for a total of $51.90." help me write a system of equations to model this scenario

Answer:

D. 109

Step-by-step explanation:

100 meters into yards is 109.361

the ratio is 1.094 so 109

Answer:

4a + 2c = 1700

Step-by-step explanation:

Answer: 1. A 2. 1/5 3. 5/12 4. Not sure

Step-by-step explanation:

The square root of 144 using the prime factorization method is 12.

When a number is multiplied by itself, the square of the number can be obtained.

The square root of 144 can be determined by the prime factorization method:

The prime factors of 144 are:

[tex]144 = 2 \times 2\times2 \times2 \times3 \times 3[/tex]

Since the square root can be obtained by forming the pair of the given number.

It can be written as:

144 = [tex]2^2 \times 3[/tex]

     =[tex]4 \times 3[/tex]

     = 12

Thus, the square root of 144 is 12.

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Answer:

Parallelogram Theorem #1 Converse

Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Parallelogram opposite sides converse. Therefore, option A is the correct answer.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

Let the diagonals AC and BC intersect at O.

Consider, triangle BOC and triangle AOD

OA=OC (Shown in the figure)

∠AOD=∠BOC (Vertically opposite angles are equal)

BO=DO (Shown in the figure)

By SAS congruence theorem

triangle BOC and triangle AOD are congruent

So, by CPCT AD=BC

Similarly,

From, triangle AOB and triangle DOC

AB=DC

Therefore, option A is the correct answer.

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Answer:

A. Side a is 7 inches long and side b is 6 inches long.

Step-by-step explanation:

a = 21/3 = 7

b = 18/3 = 6

Answer:

[tex]\boxed {\boxed {\sf 53}}[/tex]

Step-by-step explanation:

This is a stem and leaf plot, so the stem represents the first digit, while the leaf is the last digit.

The first stem is 0, with a leaf of 4. Therefore,

The last stem is 5, with 2 leaves: 6 and 7. We want to find the largest number, so we will use 7.

The range is the difference between the largest and smallest number. The largest number is 57 and the smallest is 4.

The range is 53.

Answer:

d or c more likey d

Step-by-step explanation:

-30 is your answer.

Step by Step pictured below.

Answer:

t = 0, 1, 4, 8

h = 0, 12, 0 , 18

Step-by-step explanation:

t = 0 + 1 + 3 + 4

/ x1 - 5 (2) x + 4x + 9

h = 0, 12, 0, 18

After 18 seconds the ball attains...

x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)

Answer:

t = 0, 1, 4, 8

h = 0, 12, 0 , 18  

t = 0 + 1 + 3 + 4

Step-by-step explanation:

/ x1 - 5 (2) x + 4x + 9

h = 0, 12, 0, 18

After 18 seconds the ball attains...

x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)

Answer:

calm down rosie....  it's okay to not be too good at math... take Justin Timberlake.  in the show   "Friends with Benefits"  he's horrible at math but good at life.  so don't worry too much. You are still a good person.. even if you're bad at math :P

Step-by-step explanation:

now for the math part

as below

Answer:

2 dollars donated.

Step-by-step explanation:

Answer:

18.18

Step-by-step explanation:

Answer:

1.32

Step-by-step explanation:

total area = 33

33/5 1/2 = 6 .         X=6

5 1/2 x 1/2 = 2.75 .       6 x 1/2 = 3

2.75 x 3 = 8.25

new area = 8.25

8.25 x .13 = 1.32

Answer: A viable point on the graph is ✔ (8, 3,200).

The values of w must be✔ any whole number.

Answer:

A viable point on the graph is

✔ (8, 3,200)

.

The values of w must be

✔ any whole number

.Step-by-step explanation:

I did it on Edge and got it right

Answer:    F  2^4+2^3 .3^2

Step-by-step explanation:

16+2*36

2^4+72

2^4+2^3 .3^2

here 2^3=8

    and 3^2=9

so 8*9=72

Answer:

The correct answers are:

• Option 1,

• Option 3 and

• Option 4

Step-by-step explanation:

From the two-way table, it is true that;

1.) 5 students study both French and Spanish.

2.) 30 students study French but not Spanish.

3.) 2 students study neither French nor Spanish

4.) 35 students study French

5.) 68 students study Spanish

6.) 63 students study Spanish but not French

This makes the correct answers options 1, 3 and 4

P.S: I believe your question is from the attached image

Answer:

A. 5 students study both French and Spanish.

C. 2 students study neither French nor Spanish.

D. 30 students study French, but not Spanish.

:)

The null hypothesis is that the actual numbers of games fit the distribution indicated by the expected proportions.

The following is the calculation of the t-statistics for the given data.

[tex]T=\frac{(O_i-E_i)} {\sqrt{E_i}} [/tex]where [tex]O_i[/tex] represents the observed frequency, and [tex]E_i[/tex] represents the expected frequency.t statistics for

4: [tex]\frac {(16-25)} {\sqrt {25(0.125)}} [/tex] = -3.2t statistics for

5: [tex]\frac {(21-25)} {\sqrt {25(0.25)}} [/tex] = -1.8t statistics for

6: [tex]\frac {(21-31)} {\sqrt {25(0.3125)}} [/tex] = -3.2t statistics for

7: [tex]\frac {(38-31)} {\sqrt {25(0.3125)}} [/tex] = 3.2

The critical value of t at the 0.05 level of significance is ± 2.132. Since the t-statistics of 3.2 > 2.132, we reject the null hypothesis. So, there is a significant difference between the actual number of games played and the expected number of games played in the baseball championship series at the 0.05 significance level. p-value = P (|t| > 3.2) = 0.002

The conclusion for the test statistic: Since the p-value (0.002) is less than the level of significance (0.05), we reject the null hypothesis and conclude that there is a significant difference between the actual numbers of games played and the distribution indicated by the expected proportions.

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Answer:

A

Step-by-step explanation:

idek sorry i think its A

Answer:

7

Step-by-step explanation:

just add them

them you get answer

Answer:

3 hours 5 minutes

Step-by-step explanation:

1 hour + 1 hour = 2hrs

15 minutes + 50 minutes = 65 minutes

65 minutes to 1 hr = 1 hr 5 minutes

2 hours + 1 hr 5 minutes = 3 hours 5 minutes

Answer:

3 hours and 5 minutes

Step-by-step explanation:

1 hour=60 minutes

1 hour +1 hour =2 hours

50 minutes +15 minutes = 1 hour and 5 minutes

1 hour and 5 minutes +2 hours=

3 hours and 5 minutes

Answer:

i) a) 4 lines

b) 1 line

c) 3 line

d) 2 line

ii) don't know

Answer:

Cost of each cord = $7.5

Step-by-step explanation:

Given:

Discount rate = 30% = 0.30

Amount save by Lisa = $9

Number of charger = 4

Find:

Cost of each cord

Computation:

Total cost of 4 charger =  Amount save by Lisa[1/Discount rate]

Total cost of 4 charger =  9[1/0.30]

Total cost of 4 charger =  $30

Cost of each cord = Total cost of 4 charger / Number of charger

Cost of each cord = $30 / 4

Cost of each cord = $7.5

Answer: C

Step-by-step explanation:

The Laplace transform of f(t) = et-³h(t – 3) is F(s) = 1/3 * 1/(s + 3) - 1/3 * 1/s, or F(s) = (s - 1)/(3s(s + 3)).

To find the Laplace transform F(s) = L{f(t)} of the function f(t) = et-³h(t – 3), we can use the properties and formulas of Laplace transforms. Let's break down the function and compute its transform step by step.

et-³: This term represents the exponential function with a power of t-³. The Laplace transform of et is given by 1/(s - a), where a is the exponent in the exponential function. Therefore, the Laplace transform of et-³ is 1/(s + 3).

h(t - 3): This term represents the Heaviside step function, h(t), shifted by 3 units to the right. The Laplace transform of the Heaviside step function h(t) is 1/s. When the function is shifted by a constant, the Laplace transform remains the same.

Combining these results, we have F(s) = L{f(t)} = 1/(s + 3) * 1/s.

To simplify the expression, we can use partial fraction decomposition:

1/(s + 3) * 1/s = A/(s + 3) + B/s.

Solving for A and B by equating numerators, we find A = 1/3 and B = -1/3.

Therefore, the Laplace transform of f(t) = et-³h(t – 3) is F(s) = 1/3 * 1/(s + 3) - 1/3 * 1/s, or F(s) = (s - 1)/(3s(s + 3)).

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(a) The distribution of IQ is approximately normal.

(b) The distribution of the sample mean IQ is approximately normal with a mean of 111 and a standard deviation of 3.0410.

(c) The probability that the sample mean IQ is less than 107 is 0.1056.

(d) The probability that the sample mean IQ is greater than 107 is 0.8944.

(e) The probability that the sample mean IQ is between 107 and 117 is 0.7881.

(a) The given information does not indicate any significant departure from normality, and with a large population, the Central Limit Theorem suggests that the distribution of IQ will be approximately normal.

(b) The mean of the sample mean IQ will be equal to the population mean, which is 111.

The standard deviation of the sample mean can be calculated by dividing the population standard deviation (22) by the square root of the sample size (55).

Therefore, the standard deviation of the sample mean IQ is 22 / √(55) = 3.0410.

(c) To calculate this probability, standardize the sample mean IQ value using the formula z = (x - μ) / (σ / √(n)),

where x = value to find the probability for, μ = population mean, σ = population standard deviation, and n = sample size.

In this case, find the probability for x = 107.

By plugging in the values, calculate the z-score and then use a standard normal distribution table or calculator to find the corresponding probability, which is 0.1056.

(d) Similar to part (c), use the same formula to standardize the value of 107 and calculate the z-score.

Then, find the probability of the sample mean IQ being greater than 107 by subtracting the probability found in part (c) from 1, which is 0.8944.

(e) To calculate this probability, find the individual probabilities for both values and then subtract the probability found in part (d) from the probability found in part (c).

The probability of the sample mean IQ being less than 107 is 0.1056, and the probability of the sample mean IQ being greater than 117 is 0.2119 (which can be found by subtracting the probability of being less than 117 from 1).

Therefore, the probability of the sample mean IQ being between 107 and 117 is 0.1056 + (1 - 0.2119) = 0.7881.

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Answer:

the correct answer is d

hope it help