please help with one and two i have no clue and i’m really stressed, i’ll mark highest :(

Answer:

$63

Step-by-step explanation:

Find out the total amount of units that Jack and Molly have.

5 + 6 = 11

11 units = $77

Find out 1 unit to be able to find out how much Evan receives.

1 unit = $77 ÷ 11 = 7

Evan has 9 units, so find out how much money is 9 units.

9 units = 7 x 9 = $63

Answer: +5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

Answer:7/5

Step-by-step explanation:

Step-by-step explanation:

Dont understand, sorry!!

Answer:

2/3

Step-by-step explanation:

You divide the numerator and denominator by 8

The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Answer:

B.10m + 11

....................

By applying the features of polynomials, the quadratic function g(x) = (1/5) · x² - 2 · x + 21/5 passes through the points (x₁, y₁) = (-8, 33), (x₂, y₂) = (2, 1) and (x₃, y₃) = (8, 1).

Polynomials are algebraic expressions of the form \(\sum \limits_{i=0}^{n} c_{i}\cdot x^{i}\), where \(c_{i}\) is the i-th coefficient of the polynomial and n is the grade of the polynomial. In addition, we know that polynomials have n + 1 coefficients.

In the case of quadratic functions, the grade is 2 and the function have three coefficients. Hence, we need three distinct points to determine all the coefficients of a quadratic function.

(x₁, y₁) = (-8, 33)

64 · a - 8 · b + c = 33     (1)

(x₂, y₂) = (2, 1)

4 · a + 2 · b + c = 1     (2)

(x₃, y₃) = (8, 1)

64 · a + 8 · b + c = 1     (3)

Then, we find the solution of this system of linear equations:

a = 1/5, b = -2, c = 21/5

By applying the features of polynomials, the quadratic function g(x) = (1/5) · x² - 2 · x + 21/5 passes through the points (x₁, y₁) = (-8, 33), (x₂, y₂) = (2, 1) and (x₃, y₃) = (8, 1).

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Answer:

Answer is option  D

Step-by-step explanation:

Hope this helps:)

Answer:

216 units^2

Step-by-step explanation:

the formula to calculate area of triangle is 1/2 b×h

so...

\( \frac{1}{2} (27) \times (16) \\ = 216 {units}^{2} \)

Answer:

Step-by-step explanation:

144 units^3

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

gradient = -1

Step-by-step explanation:

identify the y intercept ( the point where it meet the y- axis ) which denoted by c in the formula y =mx + c

in the graph :the y- intercept is 5 (c)

take the coordinate of any point that passes through the line :- for example (2,3)

in (2,3), the value of x is 2

the value of y is 3

using the formula y = mx + c find m with is the gradient ( unknown )

y = mx + c

3 = m2 + 5

2m + 5 = 3

we sent + 5 to the right and it changes sign to become -5

2m = 3 -5

we substract -5 from 3

2×m = -2

we send 2 to the other side so that m can be alone, it change to become divide since it was multiply

m = -2 ÷ 2

m = -1

the gradient ( unknown ) = -1

Answer:

the answer to this is very easy

Step-by-step explanation:

but i do not know

Answer:

f(x) = 15

Step-by-step explanation:

"If f(x)= 5x + 40, what is f(x) when x = -5?"

Substitute x for -5:

f(x) = 5x + 40

f(x) = 5(-5) + 40

f(x) = -25 + 40

f(x) = 15

Given :

Heather spend 2/7 of her money buying presents.

She then had €48.65 left.

To Find :

The initial amount of money she had.

Solution :

Let, initial amount she had is €x.

So,

\(x - \dfrac{2x}{7} = 48.65\\\\\dfrac{5x}{7} = 48.65 \\\\x = \dfrac{48.65\times 7}{5}\)

x = €68.11

Therefore, initially he had €68.11 .

Answer:

a) experimental: 164/500 = 41/125, which is 0.328

b) theoretical: 2/6 = 1/3, which is 0.333333....

c) the first answer, small difference

Step-by-step explanation:

Answer:

x+6<20

x<14

Step-by-step explanation:

Answer:

20-6+x

Step-by-step explanation:

you would add six and x and then subtract it from twenty becouse less than means to subract

The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3

A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.

The specified scale factor from triangle S to triangle M = 3/2

3/2 = 1.5

Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S

Let L represent the length of a side of triangle S, we get;

The length of the corresponding side on triangle M = 1.5 × L

The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;

Scale factor, SF, from M to S  = Length of a side on triangle S ÷ Length of the corresponding side on triangle

Therefore;

\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)

1.5 = 3/2, therefore;

\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)

Therefore, the scale factor from M to S is 2/3

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hey mate:-

B{18,19,20,21,22}

here number of elements in B= 5

as we know

when number of elements are same

given

there fore these are equivalent sets..,,

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer:

\(x=-3\)

Step-by-step explanation:

\(\frac{2}{3}\left(3x+9\right)=-2\left(2x+6\right)\)

Expand:

\(\frac{2}{3} *3x+\frac{2}{3} *9=-2*2x+(-2)(6)\)

\(2x+6=-4x-12\)

Subtract 6 from both sides:

\(2x+6-6=-4x-12-6\)

\(2x=-4x-18\)

Add 4x to both sides:

\(2x+4x=-4x-18+4x\)

\(6x=18\)

Divide both sides by 6:

\(\frac{6x}{6}=\frac{-18}{6}\\\)

\(x=-3\)

The required measure of the angle ∠VYW is given as 59°.

Given that,
A Right angle is shown, where the measure of the complementary angle ∠VYW is to be determined.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
For complementary angle,
∠TYV + ∠VYW = 90
31 + ∠VYW = 90
∠VYW = 59°

Thus, the required measure of the angle ∠VYW is given as 59°.

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Answer:1/4

hope this helps

Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 12, and get 36.

Then we multiply 6 by 4, and get 24.

Next we give both terms new denominators -- 4 × 12 = 48.

So now our fractions look like this:

36/48 − 24/48

Step 2

Since our denominators match, we can subtract the numerators.

36 − 24 = 12

So the answer is:12/48

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

12/48÷ 2 =6/24

Let's try dividing by 2 again

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

6/24÷ 2 =3/12

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4

Let's try dividing by 3 again

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:

3/4−6/12=1/4

Answer:

1.- 4/5 + 5/12= 1  and 13/60

2.- 5/6 + 6/12= 1 and 1/3

3.- 1/3 + 2/6= 2/3

4.- 7/8 + 8/10=  1 and 27/40

The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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