A baker needs a total of cups of flour to make four batches of cookies. How much flour, in cups, does she need for each batch of cookies? Write and solve an equation to find the answer.

Formula for compound interest: A = P( 1 + r/n)^nt

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

^ = I used this symbol to present that a the number needs to go higher (see picture)

1. 500(1 + 2/100)^2 = 520.2

£520.20

2. 400(1 + 1.75/100)^2 = 414.12

£414.12

Answer:

l = ( 2√3 + 1 ) m

Step-by-step explanation:

A = l²√3/4

3√3 = l²√3/4

12√3 = l²√3

l² = √12

l² = √2²·3

l = 2√3 m

when the length of each side increases by 1 meter

l = ( 2√3 + 1 ) m

Answer:

5.5 m

Step-by-step explanation:

The area of equilateral triangle formula:

increased area:

√3/4(a+1)²= A + 3√3

Answer:

 | -6      0    |

  |  12   21   |

Step-by-step explanation:

When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar

3  | -2  0  |

   |  4   7   |

becomes

 | -6  0  |

  |  12   21   |

Answer:

Solution : C

Step-by-step explanation:

This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.

[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]

Simplifying each element, we receive the following matrix,

[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c

Answer: (-2,2)

see below

Step-by-step explanation:

Answer:

Given below

Range: 9

Mean: 16

Hope it helps:)

Step-by-step explanation:

The data is given in the question

Range-

All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:

Range = Maximum Value–Minimum Value

= 21- 12

= 9

Mean-

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:

Sum of term/ number of terms = mean

= 17+21+14+17+12+15+16/7

= 112/7

= 16

The range and the mean of the given data are 9 and 16 respectively.

The range is the difference between the smallest and highest numbers in a list or set.

Given that, a data 17, 21, 14, 17, 12, 15, 16,

a) Range = The difference between the lowest and highest values

= 21-12

= 9

b) Mean = (sum of all data)/(number of data)

=  (17+ 21+ 14+ 17+ 12+ 15+ 16)/7

= 112/7

= 16

Hence, The range and the mean of the given data are 9 and 16 respectively.

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Answer:

D.

Step-by-step explanation:

CPCTC which stands for "corresponding parts of congruent triangles are congruent". Since ΔMQN and ΔPQN have already been proved congruent, So every angle and sides of these two triangle corresponding with each other would be congruent.

Answer: 6 kilograms

Step-by-step explanation:

3 walls * 2 kilograms each = 6 kilograms in total

Answer:

so the answer is the second one. Hope this working helps

Answer:

B - 13.6

Step-by-step explanation:

"What is the solution to the problem rounded to the correct number of significant figures?"

When you put it in a calculator, it will pop up as 13.57. You still want to round, so the only reasonable answer that you have is B, which is 13.6.

The solution to the problem rounded to the correct number of significant figures is,

⇒ 13.6

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Since, The rules for counting significant figures in addition:

1- The result should contain the decimal points as the fewest one of the added numbers.

12.77 has two decimals and 0.8 has 1 decimal,

so the result should contain 1 decimal.

The result of (12.77 + 0.8) is,

⇒ 13.57.

2- Now, we should minimize the result to contain 1 decimal, so we round the number beside the first decimal (7).

It is higher than 5, so increase the first decimal by 1.

So, the final result is 13.6.

Thus, The solution to the problem rounded to the correct number of significant figures is,

⇒ 13.6

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Answer:

5/18

Step-by-step explanation:

540/9=60

60x4=240(Alvin's money)

60x5=300(simon's money)

Alvin gives half so you divide 240 by 2 which is 120

Simon gives a tenth so you divide 300 by ten which is 30

120+30=150

150/540=5/18 ( simpliest form)

Theo have 5/18 fraction of total amount of money.

Given that, Alvin and Simon shared £540 in the ratio 4:5.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Now, 4+5=9

So, share of Alvin = 4/9 × 540

= 4 × 60

= £240

Then Simon share = 540-240 = £300

Theo's share = 1/2 × 240

=£120

Theo's share 1/10 of 300

=1/10 × 300

=£30

Total Theo's share = 120+30 =£150

Now, fraction = 150/540

=5/18

Therefore, Theo have 5/18 fraction of total amount of money.

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Answer:

12 square units

Step-by-step explanation:

formula= a+b/2×h

a=2

b=6

h=3

the answer will be = 2+6/2×3

=8/2×3

=4×3

=12

Answer:

17 square units i think

Answer:

Step-by-step explanation:

6x^5 - 12x^4 + 9x^3

(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)

Answer:

0.75 days (im a bit unsure but i tried my best, hope this helps :) )

Step-by-step explanation:

If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.

8: 560

x: 525

x= 7.5 (which is considered 7)

Then, find how long it takes to sample 525 samples, when 560 are done in 36  hours;

560: 36

525: x

x= 33.75 (which is considered 34 hours)

The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator

8; 34

15; x

it will become

15:34

8: x

x= 18 hours

Divide by 24 for days hence 0.75 days

Answer they are all equivalent

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha[/tex]

Answer:

36

Step-by-step explanation:

if im wrong im sorry u add all of them up

Answer:

86,400

Step-by-step explanation:

there are 60 seconds in a minute, there are 1440 minutes in a day. 1440×60= 86,400

// have a great day //

Answer:

the equations have no solutions

(i.e the graphs are parallel and does not intersect each other)

Step-by-step explanation:

if we graph the 2 equations, we can see that they are parallel and do not intersect, hence there is no solution to the given system of equations.

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

on the y- intercept the value of x is zero

Answer:

The value of [tex]x[/tex]:

[tex]x = -2[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]-9x + 1 = -x + 17[/tex]

-Add both sides by [tex]x[/tex]:

[tex]-9x + 1 + x = -x + x + 17[/tex]

[tex]-8x + 1 = 17[/tex]

-Subtract both sides by [tex]1[/tex]:

[tex]-8x + 1 - 1 = 17 - 1[/tex]

[tex]-8x = 16[/tex]

Divide both sides by [tex]-8[/tex]:

[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]

[tex]x = -2[/tex]

So, the final answer would be [tex]x = -2[/tex] .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

Answer:

no

Step-by-step explanation:

It does.

5x-2=0

5x=2

x=2/5

(2/5, 0)

is an x-intercept

Answer:

m<-25/

Step-by-step explanation:

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation= ax^2 +bx+c

Let x=1 and 2/3

When x=1

x-1=0.......(1)

When x=2/3

x-2/3=0.........(2)

Compare the equations

(x-1)(x-2/3)=0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0

answer:

Solution,

diameter of tank=1.4 m

Height of tank=1.9 m

Given tank has top and bottom

Now, The total surface area of cylinder tank is given by:

[tex]tsa = 2\pi \: {r}^{2} + (2\pi \: r \: ) \times h[/tex]

r( radius of tank)=

[tex] \frac{diameter}{2} = \frac{1.4}{2} = 0.7 \: m[/tex]

h(height of tank)=1.9 m

TSA of 1 tank

=

[tex]2 \times 3.14 \times {(0.7)}^{2} + 2 \times 3.14 \times 0.7 \times 1.9 \\ = 11.435 \: {m}^{2} [/tex]

TSA Of 3 tanks

=

[tex]3 \times 11.435 \: {m}^{2} \\ = 34.3 \: {m}^{2} [/tex]

Given a tin of plate covers 5m^2 area.

No.of tins required:

1 tin 5m^2

x tin 34.3 m^2

[tex]5x = 34.3(cross \: multiplication) \\ or \: x = \frac{34.3}{5} \\ x = 6.86 \\ x = 7 \: tins[/tex]

therefore 7 tins are required.

Hope this helps...

Good luck on your assignment....

Answer:

the slope is 4/3

Step-by-step explanation:

use the formula:

m=[tex]\frac{y1-y2}{x1-x2}[/tex]

where x1 and y1 can be any point and x2 and y2 can be any point.

I used the last relation as my x1,y1 and second last relation as my x2,y2 because it is easier to subtract them.

[tex]\frac{10-2}{7-1}[/tex] which is 8/6 or 4/3

Answer:

3

Step-by-step explanation:

I took the test.

Answer:

3 acute angles with different measures and 1 right angle and 2 acute angles with same measures

Answer:

It is called a zero angle.

A 180 degree angle is called a straight angle.

A ninety degree angle is called a right angle.

Answer:

Modal average is the number that appears the most

Modal average: 3

1+2+3+4+5=15

15/3=    Mean: 3

Step-by-step explanation:

add all the bedrooms and divide that sum by the number of numbers added. That's the mean.

Hope this helps.

A) 4 is the mode of the table

B)

1+2+3+4+5=15

15/5=3

Answer:

The inverse is 1/4x

Step-by-step explanation:

f(x) = 4x

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

1/4x = 4y/4

1/4x = y

The inverse is 1/4x

Answer:

y=(1/4)*x

Step-by-step explanation:

to inverse set f(x)=4x

as y=4x

next, change places y and x

4y=x

now, solve for y

4y=x

y=(1/4)*x

Answer:

No

Step-by-step explanation:

Every x value in the domain should only have 1 y value. In the graph, for x=5 (the input) there are 2 y values (6 and -6) so this is not a function.

Answer:

no

Step-by-step explanation:

it fails the vertical line test.  there is more than 1 y value per x value

Step-by-step explanation:

work is shown and pictured