of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?​

Answer:

D. (0.6, 1.3)

Step-by-step explanation:

we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.

the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.

the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).

so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.

therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

A method of dividing something into equal parts is called division.

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

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Answer:

Step-by-step explanation:

1) Step 4: Marc has converted radical form to exponent form

Step 5: He has evaluated the value of the radical

3)

[tex]x = \sqrt[3]{8}[/tex]

Here, 3 is index and 8 is radicand.

Prime factorize 8 and for every 3 numbers we can take one number outside the radical

Solution:

[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]

4) No,my equation does not have an extraneous solution.

My solution, satisfies the equation

A. 0

Answer:

Solution given

(x1,y1)=G(3, -2),

(x2,y2)=H(7, -2)

now

slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0

Answer:

0

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

 = ( -2 - -2)/ ( 7-3)

   = (-2+2)/(7-3)

   = 0/4

Answer:

A

Step-by-step explanation:

2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .

Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.

answer:

Height = Area of parallelogram / base of parallelogram

Step-by-step explanation:

The corresponding height of the parallelogram can be calculated using the general equation below :

Height = Area of parallelogram / base of parallelogram

Kindly input the values you have into the relation to get the corresponding height of the parallelogram.

Answer:

3, -1

Step-by-step explanation:

just set f(x) = g(x)

x^2 + 3x + 4 = 5x + 7

combine like terms

x^2 - 2x - 3 = 0

factor

(x-3)(x+1)=0

x = 3, x = -1

so, f(x) = g(x) when x = 3 or -1

Answer:

35.75

Step-by-step explanation:

times 65 by 55%

Answer:

5 I think

Step-by-step explanation:

Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho

Answer:

0.5

Step-by-step explanation:

So we know the orginal is 10 in size.

The new is 5 in size.

We can think of this as 10 : 5

To find the exact scale, we can divide both by the GCF.

The GCF is the greatest common factor between two numbers.

In this case, the GCF would be 5, now lets divide:

10/5 : 5/5

=

2 : 1

So we can see the ratio is 2 to 1.

Now, the scale is not 2.

The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.

To find the scale, you must divide the new scaled value by the orginal value:

1 / 2

=

1/2

So this is your scale factor.

There is actually another way to do this as well, which is quicker.

Take the new value, 5, and divide it by the orginal value, 10:

5/10

=

1/2

Either way, you get 1/2 as your answer.

Hope this helps!

Answer:

8%/100×500=$40

Kathleen pays $40 sales tax

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

Answer:

The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]

Step-by-step explanation:

By Geometry, we get the following equivalencies:

[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)

[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)

[tex]b = 4\sqrt{3}[/tex]

[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)

[tex]c = 4\sqrt{6}[/tex]

[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)

[tex]d = 6\sqrt{2}[/tex]

Answer:

12600 in³

Step-by-step explanation:

Applying,

V = lwh................. Equation 1

Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.

From the question,

Given: l = 40 inches, w = 35 inches, h = 12 inches

Substitute these values into equation 2

V = 40(35)(12)

V = 16800 in³

If the volume of water is 75% the capacity of tank.

Therefore,

Volume of water = 0.75(V)

Volume of water = 0.75(16800)

Volume of water = 12600 in³

Answer:

2 inches

Step-by-step explanation:

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

On a map, 1/4 inch represents 400 miles.

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

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Answer:

hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Answer:-2

Step-by-step explanation:

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Area of the circle = 2464 cm².

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The radius of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let "[tex]r[/tex]" be the radius of the circle.

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex]⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢  {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢  {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢  {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm[/tex]

[tex]\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]

Answer:

Step-by-step explanation:

The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]

Question 1 =  y = -5x + 50

On the graph, c = 50 [ y = mx + 50 ]

30 - 15 = 15

7 - 4 = 3

15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]

ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50

If x = 9, y = (9 x -5) + 50, = -5

y = -5

Question 2 =  y = 2.5x + 5

c = 5

m = 5/2 = 2.5

y = 2.5x + 5

when y = 30 > x = 10

30 = 2.5x + 5

30 - 5 = 25

25 = 2.5x

x = 25/2.5

x = 10

Question 3 = y = -10x + 50

c = 50

m = (30 - 20) / 1 = 10

y = -10x + 50

when x = 4 > y = (-10 x 4) + 50

y = -40 + 50

y = 10

Answer:

Step-by-step explanation:

B3)  

z + 127 = 180   {linear pair}

z = 180 - 127

z = 53

y=  55    {Corresponding angles}

w + z + y =  180 {angle sum property of triangle}

w + 53 + 55 = 180

   w + 108 = 180

w = 180 -108

w = 72

x = w {Vertiaclly opposite angles}

x = 72

B4)  q +  101 = 180 {Linear pair}

               q = 180 -101

              q = 79

p = 142     {Corresponding angles}

p + s = 180        {linear pair}

142 + s = 180

        s = 180 - 142

        s = 38

s +q +r = 180          {angle sum property of triangle}

38 +  79 + r = 180

          117 + r = 180

                  r = 180 - 117

                  r = 63

y + 63 = 180 {linear pair}

y = 180 - 63

y = 117

x = q = {corresponding angles}

x = 79

Answer:

Step-by-step explanation:

3 roots

namely -7/9,-1/4.-4/3

Answer:

V = 17362.9 ft^3  using 3.14 for the approximation

17371.8 ft^3 using the pi button

Step-by-step explanation:

V = pi r^2 h  where r is the radius and h is the height

V = pi (12)^2 ( 38.4)

V =pi ( 144) 38.4

5529.6pi

Letting  pi be 3.14

V = 5529.6 (3.14)

V =17362.944 ft^3

Rounding to the nearest tenth

V = 17362.9 ft^3

Letting pi = pi button

V =17371.75074 or to the nearest tenth 17371.8 ft^3

Answer:

(-8 , -2)

Step-by-step explanation:

the coordinates of B’ are (-8 , 2)

then

Since B also is the image of B’ through the reflection across the x-axis

then the coordinates of B are (-8 , -2)

Answer:

(-8, -2)

Step-by-step explanation:

Answer:

The workout ratio of the online sales to shop sales is 1:3

Step-by-step explanation:

Given:

A jewelry shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops website. The rest were sold in a High Street shop.

To find:

Work out the ratio of online sales to shop sales.

Solution:

Total no necklaces = 240

Necklace sold on website = 180

Remaining necklace sold via street = 240 - 180 = 60

Ratio = 60 : 180 = 1 : 3

Answer:

jk

Step-by-step explanation:

Answer:

nxgxhdhdjdkdkdjdjjddbdvd f fvfbfbfnfjjfcjjfjfjfjfjdjdjdjdjdjdjdjdjdjjjdjdjfjfjfjfjffjfjfjfjfjf

Answer:

y=10

Step-by-step explanation:

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]