Using the graphing Method, find the value of x in the system of equations y=4x-1 and y=-x+4

The percentile of Tomijia's scores is her score as a percentage

If Tomijia received an 89 on the test, she is in the 70th percentile

The score of the tests are given as:

42, 44, 56, 71, 74, 83, 89, 90, 90, 92

From the above list of scores, the score 89 is at the 7th position.

So, we have:

Tomijia = 7/10

Express as percentage

Tomijia = 70%

Hence, if Tomijia received an 89 on the test, she is in the 70th percentile

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Using proportions, it is found that you need 900 quarts of brown stock to make the servings of mushroom gravy.

We know that;

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Now, In this problem,

Each serving takes 75 cups of brown stock is,

= 75/4

= 18.75 quarts.

So, 48 servings will be made,

hence the number of quarts is given by:

n x Q = 48 x 18.75

= 900 quarts.

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Answer:

The answer is $1,175.34

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Substitute a=7, b=5, and c=3 into the expression ab+c:

ab+c = (7)(5) + 3

ab+c = 35 + 3

ab+c = 38

Therefore, ab+c is equal to 38 when a=7, b=5, and c=3.

Answer:

\( \sqrt{8 + y} \)

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

In order to enhance strong number sense in children, there are various methods that can be used.

In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.

Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.

This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.

Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:

1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.

2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.

3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.

Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

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The measure of angle B is given as follows:

m < B = 49.2º.

Two angles are said to be complementary angles when the sum of their measures is of 90º.

The measures are given as follows:

As the angles are complementary, the value of x is obtained as follows:

x + 21 + 4x - 30 = 90

5x - 9 = 90

5x = 99

x = 19.8.

Hence the measure of angle B is obtained as follows:

m < B = 4 x 19.8 - 30

m < B = 49.2º.

The measures are given as follows:

The angles are complementary, and it asks for the measure of angle B.

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The function S (m) = 105m represents the amount of steps after m minutes.

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable) is known as a function.

We are given two functions.

Tim's function : S (m) = \(105^{m}\)

This function cannot be used to find the amount of steps taken after m minutes.

Each minute, they take an additional 105 steps. Equal differences represent a linear relationship.

Kristin's function: S (m) = 105m

This function can be used to find the amount of steps taken after m minutes.

For every minute that passes, 105 more steps are take.

Hence, the function S (m) = 105m represents the amount of steps after m minutes.

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According to the given problem, the linear regression line for the given data is y = -0.65 + 0.26x

What is linear regression?

Linear regression is a statistical method used to find the relationship between a dependent variable (y) and one or more independent variables (x). It assumes that there is a linear relationship between the variables, meaning that changes in the independent variable(s) are associated with proportional changes in the dependent variable.

The linear regression model can be represented as a straight-line equation:

y = b0 + b1*x + e

The equation of a linear regression line can be written as:

y = b0 + b1*x

where y is the dependent variable (car sales in this case), x is the independent variable (number of TV commercials), b0 is the intercept, and b1 is the slope of the line.

To find the values of b0 and b1, we need to calculate the following:

n = number of data points = 4

Σx = sum of x values = 54

Σy = sum of y values = 28

Σxy = sum of (x*y) values = 164

Σx^2 = sum of (x^2) values = 689

Using these values, we can calculate b1:

b1 = (nΣxy - ΣxΣy) / (n*Σx^2 - Σx^2)

b1 = (4164 - 5428) / (4*689 - 54^2)

b1 = 0.26 (rounded to two decimal places)

Next, we can use b1 to calculate b0:

b0 = (Σy - b1*Σx) / n

b0 = (28 - 0.26*54) / 4

b0 = -0.65 (rounded to two decimal places)

Therefore, the linear regression line for the given data is:

y = -0.65 + 0.26x

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Proportionately, if Lexi uses 360 g of flour, the quantity of blueberries she must use is 150 g of blueberries.

Proportion describes the two ratios equated to each other.

Proportions are fractional values between zero and one.

Recipe for making Blueberry Muffins

Ingredient  Quantity

Egg              1

Flour           120 g

Sugar         120 g

Butter          60 g

Blueberries 50 g

120 g of flour = 50 g of blueberries

The Ratio of flour to blueberries = 2.4:1

360 g of flour = 360/120 x 50

= 150 g of blueberries (360/2.4)

Thus, if Lexi uses 360 g of flour, based on the given recipe, she must use 150 g of blueberries.

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Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

B

Step-by-step explanation:

ima guess

Answer:

B

Step-by-step explanation:

Answer:

  \(\dfrac{-5x^2+34x-32}{x^2-10x+24}\)

Step-by-step explanation:

Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."

  \(\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}\)

Answer:

Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

:D

Let x= be the amount in the account with .5%

Let y be the amount in the account with .25%

We know that interest is

I = PRT

I = 21.25 and time is 1 year so t=1

I = x(.005)(1) + y (.0025)

We also know that the amount invested is 5000

x+y = 5000

The system of equations is

21.25 = .005x + .0025y

x+y = 5000

21.25 = .005x+.0025y

Let x = 0

21.25 = .0025y

21.25/.0025 =y

The y intercept is 8500

Let y =0

21.25 = .005x

21.25/.005 =x

The x intercept is 4250

x+y = 5000

Let x = 0

The y intercept is 5000

Let y =0

The x intercept is 5000

Using substitution

x = 5000-y

21.25 = .005(5000-y) + .0025y

21.25 = 25 - .005y +.0025y

21.25-25 = -.0025y

-3.75 = -.0025y

-3.75/-.0025 = y

1500 = y

Now find x

x+y = 5000

x+1500=5000

x = 5000-1500

x = 3500

Answer:

8*8=64

6*64 = 384

384+17= 401

The diagonal of the rectangular box will be 9.7 inches.

Given that:

Length, L = 3 inches

Width, W = 2 inches

Height, H = 9 inches

The diagonal of the rectangular prism is given as,

d² = L² + W² + H²

The diagonal of the rectangular box will be calculated as,

d² = 3² + 2² + 9²

d² = 9 + 4 + 81

d² = 94

d = √94

d = 9.7 inches

The diagonal of the rectangular box will be 9.7 inches.

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Answer:

i-

ok

Step-by-step explanation:

Answer:

x = 100degrees

Explanation:

Using the theorem;

The angle at the vertex is the half of the difference of its intercepted arcs

Angle at the vertex = 15 degrees

angle at the intercepted arcs = 70degrees and x degrees

According to the theorem;

15 = 1/2(x-70)

Cross multiply

15 * 2 = x - 70

30 = x - 70

Add 70 to both sides

30 + 70 = x - 70 + 70

100 = x

Swap

x = 100degrees

Hence the value of x is 100degrees

The given inequality is

Iu + 4I < 4

This is an absolite value inequality. It can be expressed as

- 4 < u < 4

This means that the solution is between - 4 and 4. On the number line, it becomes

The circles are not solid

The solution region is the double line between - 4 and 4

Answer

(3x/4) - 9

Explanation

We are told to subtract (¼x + 5) from (x - 4)

We just simply do this step by step

(x - 4) - (¼x + 5)

Hope this Helps!!!

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

I think that answer is C i believe

Answer:

$46.25

Step-by-step explanation:

9.25 times 5 = 46.25

Answer:-3x - 12 + 5x

Step-by-step explanation: