Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did they win in total?

Answers

Answer 1

Answer:

40

Step-by-step explanation:

30÷3=10

30+10=40

Hope this helps! :)


Related Questions

PLEASE HELP, I AM MARKING BRAINLEST, dont forget to show work please :)

Answers

Value of g(-2) = -8

hope it helps you.....

Answer:

-12

Step-by-step explanation:

-4(-2)^2 -3(-2) -2

-4(4) +6 -2

-16 +6 -2

-12

What is the solution of the following quadratic function?

Answers

there is no solution because the parabola does not touch the x-axis.
Hope this helps!!

Find the x...............








Answers

Answer:

Step-by-step explanation:

Remark

You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.

That base is equal to the difference between the two bases.

Solution

The base of the triangle = 2x + 1 - (x + 3)      Remove the brackets.

base = 2x + 1 - x - 3

base = x - 2

Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.

c^2 = a^2 + b^2

a = x - 2

b = x + 4

c = 2x

4x^2 = (x - 2)^2 + (x + 4)^2                              Expand the brackets

4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16                Collect like terms

4x^2 = 2x^2 + 4x + 20                                    Subtract the right side from the left.

4x^2 - 2x^2 - 4x - 20 = 0

2x^2 - 4x - 20 = 0                                            Divide by 2

2x^2/2 - 4x/2 - 20/2 = 0              

x^2 - 2x - 10 = 0

x = - b +/- sqrt(b^2 - 4*a*c)/ 2a

a = 1

b = - 2

c = - 10

x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2

x = (2 + / - sqrt(4 + 40 ))/2                      Only the plus root has any meaning.

x = ( 2 + sqrt(44 ) )/2

x = ( 2 + 2*sqrt(11) ) / 2

x = 1 + sqrt(11)

sqrt(11) = 3.3166

x = 1 + 3.3166

x = 4.3166



which pair is a pair of vertical angles?

Answers

Answer:

Angles that are directly across from each other

Step-by-step explanation:

Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree

What is the complement that is given from the angle?

Answers

Answer:

59 is the complement of the angle ABC.

Step-by-step explanation:

complement is what adds to that angle to make it 90 degrees. 31+59=90

Answer:

59 is the complement of the angle ABC.

Step-by-step explanation:

i need help asap …………..

Answers

Step-by-step explanation:

since the radii are all congruent, you can just draw a new one and call it KP. KP = 5 because all radii are congruent. By doing this, point P is now a tangent.

I need help fast please!!!!

Answers

Answer:

f translates right 2 units to get g. sorry about my English

Find mZHFG if mZEFG = 2x + 52, mZEFH = 21°, and mZHFG = 1 + 31

Answers

Answer:

m<HFG = 31

Step-by-step explanation:

We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.

21 + x + 31 = 2x + 52

x + 52 = 2x + 52

x = 0

Now, we substitute x into the expression of m<HFG:

m<HFG = x + 31

m<HFG = 0 + 31

m<HFG = 31

Area of circle =
A) 36 pie square units
B) 6 pie square units
C) 12 pie square units

Answers

Answer:

36 pi

Step-by-step explanation:

The radius is 6

A = pi r^2

A = pi 36

Answer:

Area of circle = 36 π square unit

Step-by-step explanation:

To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.

Area of circle = π × r²

where,

r is the radius of circle

substitute the value

Area of circle = π × ( 6 ) ²

expand the exponent

Area of circle = π × 36

multiply

Area of circle = 36 π square unit

Can someone help i'm struggling!

Answers

Answer:$499.20

Step-by-step explanation:

12% of 960 = 115.20

115.20 x 4

= 460.80

960 - 460.80

= $499.20

Answer:

Step-by-step explanation:

960(.88)^4 = $575.71

answer is A

Pls help me with this equation

Answers

Answer:

x = 20

Step-by-step explanation:

Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent

∠ CBD = ∠ BCD = 40° , then

∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle

Sum the 3 angles of Δ ACD and equate to 180

20 + 100 + x + 40 = 180

160 + x = 180 ( subtract 160 from both sides )

x = 20

is this linear, exponential, or quadratic?

Answers



Linear. Each increase of 1 in x means a decrease of 3 in y, so it has a consistent slope of -3

please help ? i do not understand this question--

Answers

Answer:

hey, i think it's the first alternative

Step-by-step explanation:

Anita can exercise for 20 minutes on her lunch break and 30 minutes after work on her 5 work days. She exercises 35 minutes on the weekend. How many hours per week does Anita exercise? 4 hours per week 4 hours per week 4 hours per week 5 hours per week

Answers

Answer:

4 3/4 hours per week

Step-by-step explanation:

Please help fast it’s subtraction

Answers

Answer:

17

220

Result in decimals: 0.077272727272727

Step-by-step explanation:

Answer:

[tex]7\frac{17}{220}[/tex]

Step-by-step explanation:

[tex]9\frac{8}{11} -2\frac{13}{20}=\\[/tex]

[tex]9\frac{160}{220} -2\frac{143}{220}=[/tex]

[tex]=7\frac{17}{220}[/tex]

Hope this helps

if y is inversely proportional to 2x + 1 and the difference in the values of y when x= 0.5 and x= 2 is 0.9, find the value of y when x = -0.25

Answers

Answer:

6

Step-by-step explanation:

answer is in photo above

If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree

Answers

Answer:

1.522 ft tall

Step-by-step explanation:

divide 13.8 by 6ft and you would get 2.3

the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.

Please help ASAP
Will give Brainliest
Want explanation

Answers

Answer:

1.73 or 3+√6/√3+√2

Step-by-step explanation:

1. Simplify the Numerator...3+ the square root of 6 cannot be simplified, so the answer is 5.45

2. Simplify the Denominator.

[tex]17 \sqrt{3} - 2 \sqrt{4} \sqrt{4} \sqrt{2} + 3 \sqrt{9} \sqrt{2} - 4 \sqrt{4} \sqrt{4} \sqrt{3} = 17 \sqrt{3} - 8 \sqrt{2} + 9 \sqrt{2} - 16 \sqrt{3} = \sqrt{3} + \sqrt{2} = 3.15[/tex]

3. Divide. 5.45/3.15= 1.73

If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)​

Answers

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

Need help on this question asap please sorry

Answers

Answer:

D

Step-by-step explanation:

In picture

Brainliest please ~

Answer:

The answer is most likely the last option.

Step-by-step explanation:

While the 2 triangles have different orientations, the two triangles are similar to one another. From my perspective, the scale would most likely be:

[tex] \frac{ab}{de} = \frac{bc}{ef} = \frac{ca}{fd} [/tex]

Note that the fractions can be flipped the other way around too.

[tex] \frac{de}{ab} = \frac{ef}{bc} = \frac{fd}{ca} [/tex]

Now, I can add in the values into the equation

This will give the answer

[tex] \frac{15}{22.5} = \frac{18.75}{bc} = \frac{fd}{ca} [/tex]

We are only looking at the first 2 fractions which were given, and the final option is the answer.

-6x + 7y = 9
2x - 2y = 4
Solve for x and y

Answers

Answer:

x = 23 , y = 21

Step-by-step explanation:

-6x + 7y = 9 -- (1)

2x - 2y = 4 -- (2)

(2) x 3 : 6x - 6y = 12 -- (2)'

(1) + (2)' : y = 21 -- (3)

Subtituting (3) into (2),

2x - 42 = 4

2x = 46

x = 23 -- (4)

According (3) and (4),

x = 23 , y = 21

If this helps you, please give brainliest!

determine the equation of the circle graphed below .

( help pleasee )

Answers

Answer:

move the circle around that's how you co-ordinate

Step-by-step explanation:

Mrs. Malik ( my maths teacher ) helped me

Answer:

(x + 3)^2 + (y + 5)^2 = 4^2

Step-by-step explanation:

equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(h,k) is the center and r is the radius

the center of this circle is (-3, -5) and the radius is 4

plug the numbers in

(x + 3)^2 + (y + 5)^2 = 4^2

hope this is good, havent done this unit in a while

Of the songs in Jessica's music library, 7/8 are rock songs. Of the rock songs, 5/8 feature a guitar solo. What fraction of the songs in Jessica's music library are rock songs that feature a guitar solo?

*no scamming links are allowed or else I’ll have to report you* .

Answers

Answer:

ok so we know 7/8 of them are rock songs and of those songs 5/8 are solos so if we multiple this we get 35/64

Which best describes the relationship between the line that passes through the points (-9, -7) and (-12, -2) and the line
that passes through the points (1,9) and (6, 6)?
A. same line
B. perpendicular
C. parallel
D. neither perpendicular nor parallel

Answers

Answer:

D

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-7) / -12 - (-9)

5/-3

= -5/3

y2 - y1 / x2 - x1

6 - 9 / 6 - 1

= -3/5

Solve for x
11^x = 11^4* 11^5

Answers

Answer:

x = 9 hope i helped and sorry if I'm wrong :)

In ΔQRS, the measure of ∠S=90°, SR = 12, RQ = 37, and QS = 35. What ratio represents the cotangent of ∠Q?

Answers

Answer:

35/12

tan Q = 12/35

so cotan Q = 35/12

What is the answer to this question?

Answers

Answer:

32

Step-by-step explanation:

[tex]g(13) = 16 \\ f(16) = 32[/tex]

Choose an equation of a line through the point (-4, 1) perpendicular to y=−12x+3.

Answers

Answer:

[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Step-by-step explanation:

slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]

solve for b:

[tex]1 = \frac{1}{12}(-4) + b[/tex]

solve parenthesis:

[tex]1 = -\frac{1}{3}+b[/tex]

add [tex]\frac{1}{3}[/tex] to both sides:

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

final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

the sum of the 13th square number and the 4th cube number?

Answers

Answer:

13th square number+4th cube number=233

Step-by-step explanation:

[tex]13^{2} +4^{3}[/tex]=233

The value of the sum of the 13th square number and the 4th cube number will be 223.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,

⇒ (13)² + (4)²

Simplify the numerical expression, then we have

⇒ (13)² + (4)³

⇒ 169 + 64

⇒ 223

The value of the sum of the 13th square number and the 4th cube number will be 223.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

The perimeter of a rectangle with width, x cm and length, y cm is 82cm. If the length of a rectangle is 15 cm longer than its width, calculate the length and the width of the rectangle.

Answers

Answer:

Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)

Now, we know

Perimeter(p)=2(length+width)

40= 2(x+5+x)

40=2(2x+ 5)

40/2=2x+5

20=2x+5

20–5=2x

15/2=x

x=7.5

Now,

length=x+5=7.5+5=12.5cm

width=x=7.5cm

Therefore length is 12.5cm and width is 7.5cm.

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