Evaluate each series

Answer:

5

Step-by-step explanation:

its 5 on Edge just took the test!

Answer:

It's 5

Step-by-step explanation:

Just like the person above me, I did it on edge...

Answer:

David's average speed is 55 mph and Andrew's average speed is 70 mph

Step-by-step explanation:

Let David's speed be s.

Average speed is given as:

speed = distance / time

They both spent the same time, t.

David's speed is:

s = 110 / t

=> t = 110 / s

Andrew travels 15 mph faster than David.

Andrew's speed is:

(15 + s) = 140 / t

=> t = 140 / (15 + s)

Therefore, since they spent the same time:

110 / s = 140 / (15 + s)

Cross multiply:

110(15 + s) = 140s

1650 + 110s = 140s

1650 = 140s - 110s

30s = 1650

s = 1650 / 30

s = 55 mph

Andrew's speed is:

15 + 55 = 70 mph

Therefore, David's average speed is 55 mph and Andrew's average speed is 70 mph.

Answer:

200 servings.

Step-by-step explanation:

Divide number of bags by how much of a bag a serving is.

25/1/8

Multiply original number by reciprocal of what you are trying to divide it by. (This makes dividing fractions easier)

25*8/1=200

There are 200 servings of cat food.

Answer:

200

Step-by-step explanation:

i took the test hope this helps

Answer:

201

Step-by-step explanation:

2 · 18 + 3 (68-13)

2 · 18 + 3 · 55

36 + 3 · 55

36 + 165

201

Answer:

l = 12

Step-by-step explanation:

Let l=length

The side  of a square   s=3

l = 4s = 4*3 = 12

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]length = 4 \times side \\ = 4 \times 3 \\ = 12[/tex]

hope this helps

brainliest appreciated!

good luck! have a nice day!

Answer:

Yes.

Step-by-step explanation:

Every X value corresponds with a DIFFERENT Y value.

That is the definition of a function.

21.2 because you use the area of a circle formula which is pi times r squared and divide it by four to get each quarter and then multiply by three because there are 3 quarters of the circle.

Answer:

These are paralell because they are even to eachother

Step-by-step explanation:

perpendicular means that they are like a plus sign

and intersecting means they intersect at some point.

Answer:

The answers is They are parallel because they are even and there is no difference between the two.

Hope This Helps!!!!! :)

Answer:50

Step-by-step explanation:

Because I just got it right

Answer:

Step-by-step explanation:

I did the quiz

Answer:

To ensure that they all have the equal amount of power; to make sure one branch doesn't have more power than the others.

Answer:

51 gal

Step-by-step explanation:

Find the area of the wall you need to paint:

12 m * 80 m = 960 m^2

Use conversion rate to convert square meters to square feet (first, make the conversion rate into square meters instead of regular meters):

1 ft / 0.3048 m -> 1^2 ft / 0.3048^2 m^2

960 m^2 * (1 ft^2 / 0.3048^2 m^2)

Square meters cancel out, we are left with square feet:

960 * (1 ft^2 / 0.3048^2) = 10333.354 ft^2

Now, find how many gallons of paint by dividing by 200 square feet:

10333.354 ft^2 / 200 =~ 51.66 gal

Round up to the nearest whole number:

51.66 =~ 51 gal

The smallest whole number of gallons require to paint the wall is 52 gallons.

1 gallon of paint = 200 ft²

I foot = 0.3048 metres

Dimension of wall :

12 metre by 80 metre

Converting the dimension to feet :

12 meter / 0.3084 = 39.370078 feets

80 meter / 0.3084 = 262.46719 feets

Hence, the area of the wall in feet²:

Area = Length × width

Area of wall = 262.46719 × 39.370078 = 10333.3537427408 ft²

Let number of falloms required = x

Since,

1 gallon = 200 ft²

x gallons = 10093.516 ft²

Cross multiply :

200x = 10093.516

x = 10333.35374274082 / 200

x = 51.6667687137041 gallons

x = 52 gallons

Hence, the smallest number of gallons required to paint the wall is 52 gallons of paint

Learn more : https://brainly.com/question/12357849

Answer:

(3, 15) and (4, 12)

Step-by-step explanation:

x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x:  {3, 4}.

Since y= -3x + 24, y = 15 when x = 3 and y = 12 when x = 4.  The solutions are thus (3, 15) and (4, 12).  This is the third answer choice.

Answer:

see the explanation

Step-by-step explanation:

Y = –x2 + 4x + 12

y = –3x + 24

so

–x2 + 4x + 12 =  –3x + 24

x^2 -7x + 12 = 0

(x - 4)(x - 3) = 0

x - 4 =0; x =4

x - 3 = 0; x= 3

y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)

y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)

answer

(3, 15) and (4, 12)

(give this a heart cause why not)

Answer:

D. 6

Step-by-step explanation:

the last number in the equation is the y-intercept. The answer properly written would be (0,6). Hope this helped!

Answer:

D

Step-by-step explanation:

Answer:

P=74

Step-by-step explanation:

Answer: a: 5

b: 12

Step-by-step explanation:

The required value of a and b is 4 and 12 respectively.

[tex]x^2/a^2-y^2/b^2=1.[/tex]

Hyperbola is cross-section of cone that is obtained by cutting cone at certain angle with horizontal.

[tex]x^2/a^2-y^2/b^2=1.[/tex]
Since, above equation is of hyperbola.
a = semi major axis and b = semi minor axis.
From graph, values of a and b is 4 and 12 respectively.

Thus, the required value of a and b is 4 and 12 respectively.

Learn more about hyperbola here:
https://brainly.com/question/27799190

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Answer:

Yes, She is

Step-by-step explanation:

There are 36 possible outcomes of rolling two dice cubes once. For every roll, the probability that she would get the sum of 3 twice. So for 75 rolls, The probability of getting a sum of 3 = 2 * 75 = 150

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When you substitute the coordinate values into the equation, you should get an number that is equal on both sides. This occurs only in equation C.

Answer:

C,E and i would kinda think also B

but idk if u can choose three so yh

and i hope its right bc i remember doing this but my memory is vauge :)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

8 fluid ounces = 1 cup so 200/8 = 25

Answer:

[tex] \boxed{Values \: true \: of \: 'x' \: for \: equation \: {x}^{2} + 2x = 24 \: is \: -6 \: and \: 4} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} + 2x = 24 \\ \\ = > {x}^{2} + 2x - 24 = 0 \\ \\ = > {x}^{2} + (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} + 6x - 4x - 24 = 0 \\ \\ = > x(x + 6) - 4(x + 6) = 0 \\ \\ = > (x + 6)(x - 4) = 0 \\ \\ = > x + 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x - 4 = 0 \\ \\ = > x = - 6 \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x = 4[/tex]

Values true of 'x' for equation x² + 2x = 24 is -6 and 4

Answer:

mZB= 74

Step-by-step explanation:

ZB+ZA=180

3X-23+2X-12=180

5X-35=180

5X=180+35

5X=215  (then divide both sides by 5 to x be left alone.)

X=43....so ZB=2(43)-12

                     =86-12=74

Answer:

D

Step-by-step explanation:

Given that the scale factor of the new to old pyramid is k = 2

Then the volume of the new pyramid is k³ times the volume of the original.

k³ = 2³ = 8

The new pyramid has a volume that is 8 times the volume of the original  D

Answer:

PEMDAS

Step-by-step explanation:

P=Parenthesis

E=Exponent

M=Multiply

D=Division

A=Addition

S=Subtract

The first step you should perform is the exponent 3 of base 8.

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The given expression is 8³ - 10 × 5 - 4.

We know the rule of BODMAS.

since the given expression includes more than one operations, we have to follow the rule of BODMAS.

There are no brackets in the expression.

There is a power of 3 for the base 8.

We should perform that in the first step.

8³ - 10 × 5 - 4 = 512 - 10 × 5 - 4

Next we do the operation of multiplication.

512 - 10 × 5 - 4 = 512 - 50 - 4

There is subtraction.

512 - 50 - 4 = 566

Hence the operation of the power is done first.

Learn more about BODMAS here :

https://brainly.com/question/16738857

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Answer:

around 44%

Step-by-step explanation:

You add 40+50 in order to find the total number of babies born. Only 40 of those 90 were girls. Divide 40 by 90 in order to get the decimal .444444. This is turned into a percentage by moving the decimal place right 2 places.

Answer:

1) Perimeter of the parallelogram = 32 cm

2) The angles of the rhombus include 53°, 53°, 127° and 127°.

3) The length of the median drawn to the smaller of the legs = 13 cm

4) The sides of the rectangle are 8 cm and 12 cm

1) Периметр параллелограмма = 32 см

2) Углы ромба включают 53 °, 53 °, 127 ° и 127 °.

3) Длина медианы обращена к меньшей из ног = 13 см.

4) стороны прямоугольника 8 см и 12 см

Step-by-step explanation:

English Translation

1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.

2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.

3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.

4) Find the sides of the rectangle if they are related as 2: 3, and the area of ​​the rectangle is 96 cm².

Solution

1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.

A parallelogram has each of its opposite sides to be equal in length.

Perimeter of a parallelogram = 2(l + b)

l = 11 cm

B = 5 cm

Perimeter = 2(11 + 5) = 32 cm

2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.

A rhombus is a quadilateral with the sum of its internal angles equal to 360°. Also, opposite angles of a rhombus are equal in magnitude.

Let the unknown other complementary angle be x.

53° + 53° + x + x = 360°

2x + 106° = 360°

2x = 360° - 106° = 254°

x = (254°/2) = 127°

The angles of the rhombus include 53°, 53°, 127° and 127°.

3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.

The median is the line drawn from the vertex opposite a triangle's side to the midpoint of that side.

The median described is drawn in the attached image to this question.

From the image, the small triangle is a right angled triangle, hence, the length of the median is given by Pythagoras theorem.

(Median)² = 12² + 5² = 169

median = 13 cm

4) Find the sides of the rectangle if they are related as 2: 3, and the area of ​​the rectangle is 96 cm².

Let the breadth and length of the rectangle be x and y respectively.

x:y = 2:3

(x/y) =(2/3)

x = (2y/3)

Area of a rectangle = length × breadth = x × y = xy = 96

x = (2y/3)

(2y/3) × y = 96

y² = (96×3/2) = 144

y = 12 cm

x = (2y/3) = (2×12/3) = 8 cm

Hope this Helps!!!

Answer:

11.82 km

Step-by-step explanation:

6.37+5.45

Answer:

you have a 1/6 chance to get anything between l and Q

Step-by-step explanation:

The reason being that their is 6 and each have one so there is an equal chance for all of them,

Look at the attached picture

Hope it will be helpful to you....

Answer:

[tex]\frac{67}{72}[/tex]

Step-by-step explanation:

Just convert them into rounded decimals:

[tex]\frac{67}{72} = 0.9305555...[/tex]

[tex]\frac{11}{12} = 0.523809...[/tex]

Answer:

67/72

Step-by-step explanation: