At a football match, 10 men bought either a pie or a cup of
coffee. A pie costs 60p and a coffee costs 50p. The total
amount spent on pies and cups of coffee was £5.80. How many
of each must have been bought? (show all your working)​

Answers

Answer 1

Answer:

8 pies and 2 coffees

Step-by-step explanation:

10 men bought pie or a cup of coffee.

x=pie

y=coffee

x+y=10

0.6x+0.5y=5.8

0.6x+0.6y=6

0.1y=0.2

y=2

x=8

Hope this helps plz hit the crown :D


Related Questions

write 5,020,700 in expanded form

Answers

Expanded form: when you add all the digits together based on their places

Solution: 5,000,000 + 20,000 + 700

5,000,000+20,0000+700

Water is leaking out of an inverted conical tank at a rate of 10700 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 26 centimeters per minute when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answers

Solution :

The diameter of the tank = 3 m = 300 cm

Radius of the tank = 1.5 m = 150 cm

Height of the tank = 8 m = 800 cm

The rate of increase of height of water level = 26 cm/min

∴ [tex]$\frac{dh}{dt} = 20 \ cm/min$[/tex]

The water is leaking at a rate of  =  10700 cubic centimeters per min

∴ rate out = 10,700 [tex]$cm^3 / cm $[/tex]

At time 't', the height of water level is 'h' with radius 'r' and volume 'V'.

By the property of similarity of triangles we can write

[tex]$\frac{h}{r} = \frac{800}{150} $[/tex]

[tex]$\frac{h}{r} = \frac{16}{3} $[/tex]

[tex]$r = \frac{3}{16}h$[/tex]

Volume of water at time 't' is given as

[tex]$V= \frac{1}{3} \pi r^2 h $[/tex]

[tex]$V= \frac{1}{3} \pi \left(\frac{3}{16}h\right)^2 h $[/tex]

[tex]$V =\frac{3}{256} \pi h^3$[/tex]

Now differentiating w.r.t 't'

[tex]$\frac{dv}{dt} = \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]

The rate of increase in tank =  rate of inward flow - rate of outward flow

[tex]$\frac{dv}{dt} $[/tex]  = rate of inward flow  - 10,700

rate of inflow = 10,700 + [tex]$ \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]

Substituting the values we get

rate of inflow = 10,700 + [tex]$ \frac{9}{256} \times 3.14 \times (250)^2 \times 26$[/tex]

∴ rate of inward flow = [tex]$1.9 \times 10^5 \ cm^3/min$[/tex]

Which phrase represents the meaning of the symbol ?
O less than
O equal to
O greater than
O divided by

Answers

Answer:

C. Greater than.

Step-by-step explanation:

Answer:

greater than

      OR

       C.

If you divide a polynomial f(x) by the factor (x - 4), the remainder will be equal to f(-4). true or false ?

Answers

Answer:

FALSE

Step-by-step explanation:

Given the polynomial f(x)  divided by  x-4

To check whether the remainder will be equal to f(-4), we need to get whether the value of x is -4 if we set x-4 to zero as shown;

x- 4 = 0

Add 4 to both sides

x - 4 + 4 =  0+4

x = 4

Since the value of x is 4 not -4 hence the remainder will NOT be equal to f(-4). The answer is false

PLEASE HELP!! FAST 20 POINTS

Answers

total money= £14,713.11

what is the cube root of -3375?​

Answers

The cube root is -15.


Help it’s 6 grade math

Answers

Answer:

the mean is 55.6; if she redid the D and F papers the mean would increase because you would get a higher average than before. Higher scores mean that the number that you add are larger evidently ending up in a larger value

Step-by-step explanation:

if you want to find mean, all you do is add the numbers together and then divide by the total number of values that you added.

so this would be 74+12+61+86+45 and that is 278. Then there is a total of 5 so you divide 278 by 5 which gives you 55.6.

9. Jack has $5.90 in spare change in his pocket. All of the coins are nickels and quarters. If
he has 50 coins total, how many of each coin does he have? (Use a system of equations
to solve algebraically. Identify your variables.)

Answers

Answer:

33 nickels, 17 quarters

Step-by-step explanation:

q=quarters, n=nickels

Since total number of coins = 50 and he only has quarters and nickels,

q + n = 50.

Since a quarter is 0.25 dollars, a nickel is 0.05 dollars, and his total is $5.90,

0.25q + 0.05n = 5.90

Multiply the entire second equation by -4 to get -q and eliminate q from both equations: -4(0.25q + 0.05n = 5.90)

So, q + n = 50

And -q -0.2n = -23.6

Cancel q's and add down to combine both equations, so 0.8n = 26.4

Solve for n by dividing 0.8 by both sides, so n = 33

Plug n back into the first equation: q + 33 = 50 and q is thus 17.

Hope this helps!

Help quick please algebra one

Answers

Answer:

b. (5,-2)

Step-by-step explanation:

When we substitute the x and y values into the equation and simplify the equation we end up with these equations:

-2 ≤ 0

-2 ≥ -9

Once simplified, the equations are proven to be correct.

(I hope this helps)

Answer:

The answer is B, (5,-2)

Step-by-step explanation:

If you input the x and y values from (5,-2) into the system on inequalities both the equations end up being true, while all the other make one or more solution set incorrect when you input the x and y values.

What is the measure of EF and m

Answers

Answer:

EF=18 inches

Measure of angle F = 134

Step-by-step explanation:

It's an isosceles triangle because the two given angles are equal. So, hypothetically, if you flipped the triangle to have side EG on the ground, then given the rules of isosceles triangles, side EF is equal to side GF.

To find the angle of F just add the given angles and substract from 180

Would the space in between 2 transversals be an interior angle?

Answers

Answer:

When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes

Step-by-step explanation:

what is the common denominater of 1/5 and 7/10

Answers

Answer:

10 010 10 10 10 10 101 01 mo1

Step-by-step explanation:

The LCD is 10 between the two of you can mark this as brainlest I’ll be very grateful

Kathy sells lotion. For each bottle she sells she gets paid $3. If Kathy said 48 bottles at a trade show last weekend, and another 30 bottles this weekend, how much money would Kathy make?

Answers

That would be 234. because 48+30 is 78, and 78 times 3 is 234.

Answer:

234

Step-by-step explanation:

48 x 3=144

30 x 3=90

144+90=234

When using best subsets regression with a model that has four independent variables, a total of ________ different combinations of regression models will be considered.

a. 4
b. 15
c. 12
d. 18

Answers

Answer:

b. 15

Step-by-step explanation:

Given that:

There are 4 independent variables, then the subset regression total is 2⁴ = 16 attainable regression model.

However, out of these 16 regression models, 1 Model contains no predictors which only intercept 3 Model with [tex](X_1), (X_2), (X_3)[/tex], 3 Model with[tex](X_1,X_2), (X_1,X_3), (X_2,X_3)[/tex]. and 1 Model which comprises all the independent variables.

Therefore, when applying best subsets regression with a model that possesses four (4) independent variables, the number of different combinations of regression models that can be considered is 15.

PLS PLS HELP! WILL GIVE BRAINLIEST IF ALL QUESTIONS ARE ANSWERED AND IF THEY’RE RIGHT!
Brad made a graph showing how many students were absent from school every day last week.
Use the graph to answer the questions.

1. List the ordered pairs for the graphed points.


Write your answer in the space below.















2. How many students were absent on day 3? Explain how you know.


Write your answer in the space below.















3. On which day were the greatest number of students absent? How many students were absent that day?


Write your answer in the space below.















4. Is the relation represented by the graph a function? Why or why not?


Write your answer in the space below.

Answers

Answer:

1. (1,7),(2.10),(3,5),(4,7),(5,9)

2. There were 5 students absent on day 3. I know because it shows on the graph.

3. Day 2 was the greastes number of studnets absent. There were 10 students absent that day.

4. The relation represented is a function becasue for each x-value there is only one y-value.

Step-by-step explanation:

PLEASE HELP PLEASEEEEEE

Answers

Answer:1) 9/8×4/3

2)9/8÷3/4

3)3/2

Step-by-step explanation:

0.2(3a + 6b) use distributive property

Answers

Answer:

0.6 a  +  1.2 b

Step-by-step explanation:

Consider the figure below. If ∆ABC is translated using the vector (x, y)→(x−3, y+3), then rotated 180° about the origin, what will be the x-coordinate of C’ ?

Answers

Answer: -7

Step-by-step explanation:

I’m doing the test

The domain of the function f(x) = -2x is restricted to the positive integers. Which values are elements of the range?

2


-4


0

-6


4


-2


6

Answers

9514 1404 393

Answer:

  {-6, -4, -2}

Step-by-step explanation:

If the domain is positive integers, the range is negative even integers. The only ones on the list are ...

  -2, -4, -6

Which shows a rational number plotted correctly on a number line?
A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.
A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.
A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.
A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.

Answers

Answer:

A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.

Step-by-step explanation:

A number line going from negative 8 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative 3.5 is plotted on the mark 1 space to the left of 4.

Incorrect. - 3.5>-4 and should be to the right of -4

A number line going from negative 20 to negative 10 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 21 Over 2 EndFraction is plotted on the mark 1 space to the left of negative 10.

Correct. -21/2 = -10.5 < -10 is one space to the left of -10

A number line going from negative 10 to positive 4 in increments of 2. There are 4 equal spaces between each number. Negative StartFraction 7 Over 2 EndFraction is plotted on the mark labeled negative 6.

Incorrect. -7/2 =-3.5 > -4 should be to the left of -4.

A number line going from negative 2 to positive 8 in increments of 2. StartFraction 9 Over 2 EndFraction is plotted on the mark 1 space to the left of 4.

Incorrect. 9/2 = 4.5 > 4 should be to the right of 4.

Answer:

B

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
O mZA= 15° and mzC= 35
O mZA+ mZB = 155°
O mZA+ mzC = 60
OMZA= 20° and m2C=30

Answers

Answer:

Option B m<ZA+m<ZB = 155° is correct option.

Step-by-step explanation:

We know that sum of angles of triangle is equal to 180°

And Isosceles triangle, 2 angles are same

So, let  Angle 1 = x

Angle 2 = x

Angle 3 = 130°

Finding values of angle x

x+x+130=180

2x=180-130

2x=50

x=25

So, Angle 1 = 25 °

Angle 2 = 25°

As, angle B is greater than 90°, the sum of angles added must be greater than 90°

So, Option A, C and D can't be correct, as their sum is less than 90°

Option B m<ZA+m<ZB = 155° is correct option.

Verify:

m<ZA = 25° (as found earlier)

m<ZB = 130° (given)

So, m<ZA+m<ZB = 155°

25°+130° = 155°

The true statement about the given angles of the triangle is m∠A + m∠B = 155⁰.

Sum of angles of Isosceles triangle

The sum of angles of Isosceles triangle must add up to 180 degrees.

Base angles of the Isosceles triangle

Let the base angles = x and x

x + x + 130 = 180 (sum of angles in a triangle)

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25

Given angle B = 130°

B + A = B + C = 130 + 25 = 155°

Thus, the true statement about the given angles of the triangle is m∠A + m∠B = 155⁰.

Learn more about angles of Isosceles triangle here: https://brainly.com/question/155625

The owner of a small local bakery wants to determine how many fruit-filled pastries she should bake each day. Each pastry costs $.60 to make and sells for $1.00 each. Each pastry that is not sold at the end of the day is sold the next day for $.30 as day-old merchandise. She has determined that her average daily sales of this type of pastry are 193, with a daily standard deviation of 41. Flag this Question Question 114 pts What is the value of Co

Answers

This question is incomplete, the complete question is;

The owner of a small local bakery wants to determine how many fruit-filled pastries she should bake each day. Each pastry costs $.60 to make and sells for $1.00 each. Each pastry that is not sold at the end of the day is sold the next day for $.30 as day-old merchandise. She has determined that her average daily sales of this type of pastry are 193, with a daily standard deviation of 41. Flag this Question Question 114 pts

-What is the value of Co

-What is the value of Cu

Answer:

- the value of the cost overage Co is  $ 0.3

- the value of the cost shortage Cu is  $ 0.40

Step-by-step explanation:

Given that;

Revenue per unit R                         =       $ 1.00

Cost per Unit C                               =       $ 0.60

Salvage value per unit  S                =       $ 0.30

Mean Demand μ                              =          193

Standard Deviation of demand  σ  =          41

-To get the value of our cost overage Co;

we simply say

Co = Cost per Unit C - Salvage value per unit  S  

Co = 0.6 - 0.30 = 0.30

therefore the value of the cost overage Co is  $ 0.30

- To find the value of Cost Shortage Cu;

Cu = Revenue per unit R - Cost per Unit C

Cu = 1.00 - 0.60 = 0.40

therefore the value of the cost shortage Cu is  $ 0.40

PLZ Help!!! Best answer gets Brainliest!!!

Answers

Answer:

yes it is a proportional relationship

Step-by-step explanation:

:) gl!

Please hurry and help me!

Answers

You have a fraction of 13/20. The 13 is the amount of children that prefer fries out of 20 children in total. Multiply the 20 by 5 and you get 100. Then multiply the 13 by 5 since what you do to the bottom you gotta do to the top and you get 65/100. Next there are 13 adults that prefer fries over 25. 25 times 4 is equal to 100 and what you do to the top you gotta do to the bottom. 13 times 4 is 52. 65/100 children prefer fries and 52/100 adults prefer fries. The first box you put 65, the second box you put 52, and the third you put more likely

Answer:

The first one is 13/20 second one is 13/25 and the third is equally likely

Step-by-step explanation:

pls help me with this!

Answers

Answer:

(25 and 8) = 200

(32,24 and 18) =288

(22 and 4)=44

(14 and 12) = 84

(9,8 and 7)= 504

(27,12 and 36) =108

pleaseee hellppp meeee​

Answers

Answer:

The y-intercept is -3.2

The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?



help

Answers

10 because 800divided by 80 is 10

The graph represents the journey of a bus from the bus stop to different locations Bus Journey 4 Distance (miles) La 5 X Time (hours) Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey (4 points) Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points) Part C: Is the graph linear or non-linear? Explain your answer (2 points)​

Answers

Answer: if the bus takes 5 hours to go the distance then it will take the y,x distances to go the 5 hours.

Step-by-step explanation:

Each person who applies for an assembly job at Robert’s Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution. Length of Time (in minutes) Number 1 up to 4 4 4 up to 7 8 7 up to 10 14 10 up to 13 9 13 up to 16 5 16 up to 19 2 What is the standard deviation (in minutes)? 17.00 6.01 3.89 8.78

Answers

Answer:

3.89 minutes

Step-by-step explanation:

Firstly, we have this in a table using the range

There are 6 ranges

We put the frequency alongside

Afterwards we calculate the midpoint of the range

For example, midpoint of range 1-4 is (1+4)/2 = 5/2 = 2.5

We multiply the midpoint by the frequency which gives another column

Then we calculate the mean, where the mean is the summation of all frequencies and their midpoints

We subtract each midpoint from the mean, square the results, then multiply each by their frequency

Lastly, we apply the standard deviation formula

Please check attachment for the tabular representation and formulas

41°
40°
X
X
O 40
39
0 41

Answers

Answer:

39

Step-by-step explanation:

just had it.

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