Solve the given system of equations.

Answer:

c = 3/4

Step-by-step explanation:

Lets set up an equation.

You can get

3-5c + 1 = 1-c to show that it is one less.

now we can solve it.

So by combining like terms, we get:

4-5c = 1-c

that then becomes:

3-5c = -c

--> 3 = 4c

--> c = 3/4

Answer:

c=3/4

Step-by-step explanation:

I do RSM :)

Answer:

64 [tex]in^{3}[/tex]

Step-by-step explanation:

The volume of a cubic box with side length of s inches can be calculated using the following formula

[tex]V = s^{3} in^{3}[/tex]

If the initial side length was 3 inches and the customer asked Simon to increase each one of the sides of the box by one inch, then the new side lengths now become 4 in (3+1 = 4)

[tex]V = 4^{3} in^{3} = 64 in^{3}[/tex]

Therefore the final and new volume is

64 [tex]in^{3}[/tex]

Answer:

The volume of the new box is 64 cubic inches. If each side of the box was increased by 1 inch, the new measure of each side would be 4 inches. 4 times 4 times 4 equals 64.

Answer:

24 square units

Step-by-step explanation:

6×4=24

Answer:

24 square units

Step-by-step explanation:

Answer:

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40

Step-by-step explanation:

El número total de páginas en el cuaderno = 40

Número de páginas utilizadas = 2/5 × 40 = 16 páginas

Número de páginas extraídas = 1/8 × 40 = 5 páginas

Número de páginas disponibles = 40 - 16 - 5 = 19 páginas

Fracción del total restante = 19/40

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.

Answer:

.........................................

Step-by-step explanation:

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Answer:

1/9

Step-by-step explanation:

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P(red)= number of red/ total = 5/15 = 1/3

Put it back in the bag

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P (red)= number of red/ total = 5/15 = 1/3

P(red, replace, red) = P(red) * P(red) = 1/3*1/3 = 1/9

Answer:

A

Step-by-step explanation:

By adding both the x and y coordinates individually and dividing them by two u get the mid point

Answer:

C

Step-by-step explanation:

EDGE2021

The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

The value of the monthly payment is given by;

P = PV × i / 1-(1+i)⁻ⁿ

Where,

PV is the present value or the amount of the loan.

i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.

n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.

Therefore,

The value should be used for n, the number of periods over which the loan is repaid;

n = 6 years × 12 months/year = 60 months = 60 periods.

Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

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Answer:

1. positive

2. negative

3. null

Step-by-step explanation:

I looked up "all types of scatterplots and looked at which ones were on the screen

Answer: y = x + 1

Step-by-step explanation:

This is poorly written, but as i understand:

We have the general equation:

y = x + i

where i is a constant, and we want this function to pass through the point x = 2 and y = 3.

Then we must find the value of y, we know that when x= 2 we also must have y = 3, so we can replace those two values in the equation above and get

y = 3 = x + i = 2 + i

3 = 2 + i

3 - 2 = i

1 = i

So our equation is y = x + 1

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

The mean number of apples is the result of dividing the product of frequency and number of apples and f in the table given. Hence, the mean number of apples is 30

The sum of frequency = (2 + 4 + 8 + 4 + 2) = 20

The sum of fx = (56 + 116 + 240 + 124 + 64) = 600

The mean number of apples can be calculated using the values obtained thus :

Mean = fx ÷ f

Mean = 600 ÷ 20

Mean = 30

Therefore, the mean number of apples in a box is 30

Learn more :https://brainly.com/question/15528814

Answer:

6x^4 -15x^3 + 3x^2

Step-by-step explanation:

What we want to do here is to multiply what is outside the bracket with what is inside

That would be;

3x^2(2x^2 -5x + 1)

= 3x^2(2x^2) -5x(3x^2) + 1(3x^2)

Opening the brackets, we have;

6x^4 -15x^3 + 3x^2

Answer:

The slope is 10 (y =10x +15)

Step-by-step explanation:

When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.

The formula for finding the slope is y-y divided by x-x.

so... (35)-(-5)=40        NOTE: I did 35 minus -5 but you can also do -5 minus 35.

2-(-2)=4                           But just remember to do it the same order for

                                    subtracting the x coordinates.

40/4=10

Complete question:

A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 90% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 60% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answer:

Amount of 40% pure antifreeze = y = 96gallons

Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons

Step-by-step explanation:

Brand A = 40% pure

Brand B = 90% pure

Therefore to obtain 160 gallons that contains 60% pure antibfreeze:

Let y = Amount of 40% pure antifreeze required

Therefore (160 - y) = Amount of 90% pure antifreeze required.

Expressing mathematically,

0.4y + (160 - y) (0.9) = 160×0.6

0.4y + 144 - 0.9y = 96

-0.5y = 96 - 144

-0.5y = - 48

y = 48 / 0.5

y = 96

Amount of 40% pure antifreeze = y = 96gallons

Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons

Answer:

Step-by-step explanation:

Step 1:Width x 2

Step 2:Perimeter — step 1

Step 3:Step 2 divided by 2

Answer: 54 bricks

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a rectangular prism (V) : length x width x height  

Replacing with the values given and solving for v (Volume)  

V = 10 x 6 x 4

V = 240 cm3 (volume of one brick)

Finally, we have to divide the amount of concrete used by the volume of each brick:

13,000cm³ /240 cm3 = 54.16 = 54 bricks

Feel free to ask for more if needed or if you did not understand something  

Answer:

The answer is 41/25000

Step-by-step explanation:

P(A)=41/100

P(B)=1/10

P(AB)=1/25

P(A,B and AB)=41/100 * 1/10 * 1/25

=41/25000

Answer:

I'm not confident on this but:

L = 2(W + 1)

Hopefully this might help somewhat :]

L: Length

W: Width

Answer: the area of the star is 1.94in squared

Step-by-step explanation: One part of the quarter circle has a radius of 1.5 inches because 3 inches is the height of the square.

So the diameter of 4 of the quarters would be 3 inches because 4 quarters of a circle would make a full circle with a diameter of 3. The area of a full circle with the diameter of 3 is 7.06. The area of the square is 9 because 3x3 is 9. 9 minus 7.06 leaves 1.94 in area left in the square. :) 1.94 is rounded also

Step-by-step explanation:

PRIMERO ENCONTRAMOS EL ÁREA DE UNO DE LOS

SEGMENTOS DE C´RCLO SUPONIENDO QUE EL RADIO

ES IGOAL A LA MITAD DEL LADO DEL CUADRO

A = [tex](1.5 in)^{2}[/tex] - 3.14[tex]/1.5 in)^{2}[/tex]/4 = [tex]0.49 in^{2}[/tex]

LUEGO SE MULTIPLICA POR 4

[tex]1.96 m^{2}[/tex]

SE ENCUENTRA EL ÁREA DEL CUADRADO

A = [tex]3 in ^{2}[/tex] = [tex]9 in^{2}[/tex]

FINÁLMENTE SE ENCUENTRA EL ÁREA DE LA ESTRELLA

A = [tex]9 in^{2}[/tex] - [tex]1.96 in^{2}[/tex] = [tex]7.04 in^{2}[/tex]

Answer:

(m+11)^2

Step-by-step explanation:

break 22m in such a way that the 2 new values are factorizable by the two terms on both sides.

m^2+22m+121

m^2+11m+11+121

Factorize the first 2 terms then the next 2 terms.

m^2+11m = m(m+11)

11m+121 = 11(m+11)

Since both the brackets are equal, use one and then put the m and 11 that are outside the brackets into a new brackets.

(m+11)(m+11) = (m+11)^2

Hope this helps

Good Luck

Answer:

15

Step-by-step explanation:

the formula for area is l×w=a so when you multiply the length with the width, you get 15.

Answer:

15 feet

Step-by-step explanation:

Since you are finding the AREA, you always have to multiply length by width. So, 5 ft x 3 ft= 15 ft

Answer:

Step-by-step explanation:

10(a) (ii)=-10a

10 (b)=10b

n=10b

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < [tex]\hat{p}[/tex] < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Where:

x = 33

n = 136

[tex]\hat{p}[/tex] = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

[tex]CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}[/tex]

Which gives;

0.17059 < [tex]\hat{p}[/tex] < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < [tex]\hat{p}[/tex] < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

Answer:

Width of screen =57.44 cm

Step-by-step explanation:

Please refer to the attached image:

The TV screen is usually in the form of a rectangle.

The diagonal of the TV is termed as the screen size.

Size is given to be 70 cm

Height = 40 cm

As per the attached image:

BC = 40 cm

BD = 70 cm

Pythagoras theorem is given as:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Using pythagoras theorem in [tex]\triangle BDC[/tex]:

[tex]BD^{2}= BC^{2}+ CD^{2}[/tex]

[tex]70^{2}= 40^{2}+ CD^{2}\\\Rightarrow CD^{2} =4900 - 1600\\\Rightarrow CD^{2} =3300\\\Rightarrow CD =57.44 cm[/tex]

Hence, width of screen, CD =57.44 cm

Answer:

The correct answer is A. [tex]4^{2} +12^{2} \neq 13^{2}[/tex]

Step-by-step explanation:

A right angled triangle is the type of triangle in which one of the three angles is [tex]90^\circ[/tex].

For a triangle to be right angled triangle, following equation must hold:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Where Hypotenuse is the largest side of triangle and is opposite to the angle with value [tex]90^\circ[/tex].

Base and Height are the two other sides making an angle of [tex]90^\circ[/tex] with each other.

In the given question figure, largest side, XY = 13 units

Other two sides are:

YZ = 4 units

XZ = 12 units

For this [tex]\triangle XYZ[/tex] to be right angled, the following must be true:

[tex]XY^{2} = XZ^{2} + YZ^{2}[/tex]

[tex]XY^{2} = 13^{2} = 169[/tex]

[tex]XZ^{2} + YZ^{2} = 12^{2} + 4^{2}\\\Rightarrow 144 + 16\\\Rightarrow 160[/tex]

[tex]160 \neq 169[/tex]

Hence, the given triangle is not a right angled triangle because of following:

[tex]4^{2} +12^{2} \neq 13^{2}[/tex]

Hence, option A. is correct answer.

Answer:

its A

Step-by-step explanation:just took test and got 100%

Answer:

Hello There. The correct option is

b.) The data in country B are more symmetric than the data in country A.

Step-by-step explanation:

The statements describes the symmetry of the data in the two box plots

a.) The data in country A are more symmetric than the data in country B.  

b.) The data in country B are more symmetric than the data in country A.

c.) The data in both countries have about the same symmetry.

d.) The symmetry of the data cannot be determined by looking at the box.

Hope It Helps!

Step-by-step explanation:

The correct statement about the median will be the following which is calculated from average wind speeds as:

It is the center most number of the data available to us which divides the data in 2 equal parts.

We have been given the average wind speeds of two countries.

Median of country A =(1+9.5)/2 th term in the box

=5.25th term in the box which is 7.

Median of country B=(1.2+11)/2

=6.1 th term which is 9.

Hence median of country  B is greater than median of country A and value of median A is 7 and of B is 9.

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Answer:

Number is 4

Step-by-step explanation:

Given:  reciprocal of two less than a certain number is twice the reciprocal of the number itself

To find: The number

Solution:

Let the number be x

Reciprocal of two less than a certain number = [tex]\frac{1}{x-2}[/tex]

Reciprocal of the number itself = [tex]\frac{1}{x}[/tex]

According to question,

[tex]\frac{1}{x-2}=\frac{2}{x}\\x=2(x-2)\\x=2x-4\\2x-x=4\\x=4[/tex]

So, number is 4