3 kg of carrots cost £1.80
2 kg of carrots and 5 kg of potatoes cost a total of £3.45
Work out the total cost of 4kg of carrots and 2 kg of potatoes.
You must show all your working.

Answer:

Let the no of quarters be x

According to given,

x + (x+4) + (x+4)/2 = 6

x + (x+4) + (x + 8)/2 = 6

x + x + 4 + (x + 8)/2 = 6

[2 (2x + 4) + (x + 2)]/2 = 6

4x + 8 + x + 2 = 6 × 2

5x + 10 = 12

5x = 12 - 10

5x = 2

x = 2/5

•°• x = 0.4

1 doller = 4 quarter

0.4 doller = p

p = 0.4 × 4 = 1.6

•°• There are 1.6 quarter.

ATQ

[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]

[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]

[tex]\\ \sf\longmapsto 4x+12=6[/tex]

[tex]\\ \sf\longmapsto 4x=-6[/tex]

[tex]\\ \sf\longmapsto x=-3/2[/tex]

[tex]\\ \sf\longmapsto x=|-1.5|[/tex]

[tex]\\ \sf\longmapsto x=1.5[/tex]

Answer:

$2.50

Step-by-step explanation:

11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50

20 - 17.50 = 2.50

Answer:

I think but not sure we read this question by 3 unit

Answer: -8x^2 -2x+13

Step-by-step explanation:

group liked terms

-6x^2-2x^2-2x+5+8

Add numbers 5+8=13

-6^2-2x^2-2x+13

add similiar elements -6x^2-2x^2=-8x^2

-8x^2 -2x+13

Answer:

The coefficients are 5, -4, and -2.

Step-by-step explanation:

Coefficients refer to the numbers that are directly in front of variables. (Variables are any given letter, in a math problem, that represent unknown number values).

With this being said, the coefficients in this expression are 5, -4, and -2.

Hope this helps you :)

Step-by-step explanation:

complementary angles mean that together they have 90°.

that means that sin(A) = cos(C) and vice versa.

so, the values are the same

cos(C) =24/25

sin(A) = 20/29

Answer:

(-4,2)

Step-by-step explanation:

See attachment

Answer:

3840

Step-by-step explanation:

320 boxes; 12 donuts in each box

This is a multiplication problem.

320 × 12 = 3840

Answer: 3840

Answer:

A and C

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

[tex]\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~

So, the Correct choice is ~

[tex]꧁  \large \sf{itz0kaul } \: ꧂[/tex]

Answer:

What was going on in Britain during the time just before Shakespeare lived?

Elizabeth had settled the religious question by establishing the Church of England as the official religion of the country, insisting on church services in English, the English Bible and prayer book in churches etc, but not going as far in extreme Protestantism as, for instance, the Puritans would have liked her to do.

Step-by-step explanation:

please mark me brainliest!!

The period from 1550-1650 in British history was a time of significant political, social, and cultural change.

England, which had absorbed Wales under Henry VIII in the 16th century, merged with Scotland in 1707 to form a new sovereign state known as Great Britain.

Here are some key events and factors that were happening during the time just before, during, and just after Shakespeare lived:

Thus, the period from 1550-1650 was a time of significant change and upheaval in England, with political, religious, and economic developments shaping the lives of its people.

For more details regarding British History, visit:

https://brainly.com/question/29880473

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Answer:

Angles are [tex]43.2^0,64.8^0,72^0[/tex]

Step-by-step explanation:

Sum of interior angles of triangle is [tex]180^0[/tex]

The ratio of the measures of the three angles of a triangle is [tex]6:9: 10[/tex]

Hence the angles can be [tex]6x,9x,10x[/tex]

We have

[tex]6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0[/tex]

Angles are [tex]43.2^0,64.8^0,72^0[/tex]

a. Slope 2 and y-intercept 3

Slope-intercept form: [tex]\bold{y=2x+3}[/tex]

Standard form: [tex]\bold{2x-y=-3}[/tex]

b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6

Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]

Standard form: [tex]\bold{3x-5y=30}[/tex]

c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9

Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]

Standard form: [tex]\bold{3x+2y=18}[/tex]

d. Slope -3 and y-intercept 0

Slope-intercept form: [tex]\bold{y=-3x}[/tex]

Standard form: [tex]\bold{3x+y=0}[/tex]

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

[tex]0.002349 \\ estimate \: \: \: it \\ = 0.00235 \\ = 0.00235 \times 1000 \\ = 2.35 \\ therefore \\ 0.00235 \\ = 2.35 \times \frac{1}{1000} \\ = 2.35 \times {10}^{ - 3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

x = 403

Step-by-step explanation:

We can start off by rewriting the equation as

x - 28 = 375

Next, we can further restate it as

375 + 28 = x

So, all we need to do to find the value of x is add 375 + 28, which is 403

Student Error

The student made the error of rewriting the equation incorrectly.

He/She/They subtracted 28 from 375 instead of adding.

Thus, they got 347

Answer:

the anser od 20(d-4)+4d is5

The equation of a line in point-slope form is expressed as:

y = mx + b

Given the inequality -2y > 7x + 4, this can also be expressed as:

-2y > 7x + 4

y < -7/2x -4/2

y< -7/2x - 2

This shows that the line will be a dashed line and cuts the y-axis at y= -2

Learn more on inequality graph here: https://brainly.com/question/11234618

Answer:

mC=mA - base angles of an isosceles triangle

mA=68

Answer:

Apples cost 50 cents and bananas 25 cents.

please mark brainliest if this helped

Step-by-step explanation:

1) Assign variable (x,y) to apples and bananas.

x=apples

y=bananas

2) Write system of equations for Alice and Betty.

Alice: 4x+8y=4

Betty: 6x+10y=5.5

3) Use substitution, elimination, or graphing to solve for x and y.

x=0.5

y=0.25

Answer:

5.76 cm

Step-by-step explanation:

When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,

R = side * sqrt (3) / 6

Here, side is 20 cm.

And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.

So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm

Answer:

C

Step-by-step explanation:

Long division

I hope this helps have a great day :)

Answer:

The answer is the last one

Step-by-step explanation:

Answer:

= 66 R 30

= 66 30/61

4056 divided by 61 equals

66 with a remainder of 30

Solution:

   0 0 6 6

6 1 4 0 5 6

 − 0      

   4 0    

 −   0    

   4 0 5  

 − 3 6 6  

     3 9 6

   − 3 6 6

       3 0

Answer:

The Answer is "4 inches per year"

Step-by-step explanation:

To find the Average Rate of Change, you use:

[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

So when you insert the numbers from the table, you get:

[tex]\frac{45-37}{5-3}[/tex]

After solving the answer you get is 4.  So the avg rate of change is 4 inches per year.

Answer:

y=1.75x+3

Step-by-step explanation:

Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour

Answer:

y=1.75x+3

Step-by-step explanation:

Do you mean x amount of miles?  if you do, you would add 3 because 3 is the amount of money that you have to pay no matter how far you go.  You would get 1.75x because the number of miles you travel in the taxi, you would have to multiply that number by 1.75 to get the amount of money you would have to pay in addition to the 3 dollars that you would definitely have to pay.

Answer:

I think the correct answer is c hope this helps

The distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.

Given is that  body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.

[A] -

We can write the total distance covered along the slant as a function of [x] and [y] components as -

h = h[x] i + h[y] j

Now -

h[x] = 4tcos(22°)

Now -

F = ma

F = m{dv/dt}

Fdt = mdv

mg sin(22°)dt = mdv

dt = {1/g sin(22°)}dv

∫dt = ∫ {1/g sin(22°)}dv

t = v/g sin(22°)

So, we can write -

h[x] = 4 cos(22°)v/g sin(22°)

h[x] = {4v/g}{cot (22°)}

Similarly -

h[y] = 4t'cos(22°)

F = ma

F = m{dv/dt}

Fdt = mdv

N cos(22°) - mg = F

{N cos(22°) - mg}dt' = mdv

{mg cos(22°) - mg}dt' = mdv

{g cos(22°) - g}dt' = dv

dt' = dv/{g cos(22°) - g}

∫dt' = ∫dv/{g cos(22°) - g}

t' = {v/g(cos(22°) - 1)}

So -

h[y] = 4 x  {v/g(cos(22°) - 1)} x  cos(22°)

h[y] = {4v/g(cos(22°) - 1)} cos(22°)

So -

Distance travelled across the slant -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²

[2] -

Yes, it will slide down again.

Therefore, the distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

To solve more questions on resolving vectors, visit the link below -

https://brainly.com/question/17264346

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{Question in english language -

A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}

Answer:

850x = y

Step-by-step explanation: