Find two numbers whose sum is 45 and whose difference is 19.

Answer:

267000 is the answer

Step-by-step explanation:

Answer:

The rectangle has a length of 15 cm and a width of 13 cm

Step-by-step explanation:

Let w represent the width of the rectangle, and let w + 2 represent the length of the rectangle.

Use the perimeter formula, P = 2l + 2w, and plug in the perimeter and w + 2:

P = 2l + 2w

56 = 2(w + 2) + 2w

Simplify and solve for w:

56 = 2w + 4 + 2w

56 = 4w + 4

52 = 4w

13 = w

Then, add 2 to this to find the length:

13 + 2

= 15

So, the rectangle has a length of 15 cm and a width of 13 cm.

Answer:

[tex]\boxed {\boxed {\sf V \approx 10.9 \ cm^3}}[/tex]

Step-by-step explanation:

The volume of a triangular pyramid can be found using the following formula:

[tex]V=\frac{1}{3} A_b\times h[/tex]

Basically, we have to multiply 1/3, the height, and the base area.

We know that the base area is 8.2 square centimeters and the height is 4 centimeters.

[tex]A_b=8.2 \ cm^2 \\h= 4 \ cm[/tex]

Substitute the values into the formula.

[tex]V=\frac{1}{3} (8.2 \ cm^2)\times (4 \ cm)[/tex]

Multiply 8.2 square centimeters and 4 centimeters.  

[tex]V=\frac{1}{3} (32.8 \ cm^3)[/tex]

Multiply 1/3 and 32.8 cubic centimeters.

[tex]V= 10.9333333 \ cm^3[/tex]

Round to the nearest tenth.

The 3 in the hundredth place tells us to leave the 9 in the tenth place.

[tex]V \approx 10.9 \ cm^3[/tex]

The volume of the triangle pyramid is about 10.9 cubic centimeters.

Answer:

4 out of 12 chance.

Step-by-step explanation:

So its a 1 out of 6 chance for the first die, and a 3 out of 6 chance on the second die, so a 4 out of 12 chance of what was said to happen.

First die:

You want to roll a 6. There is one number on each side of the die, and there are 6 sides. Since you can only get a side with 6 once, you have a 1 out of 6 chance of landing a 6.

Second die:

You want to roll an even number. There are 3 even numbers on the die (2, 4, and 6), and there are 6 sides, with the other 3 sides being odd (1, 3, and 5). Since you can only get a side that is even three times, you have a 3 out of 6 chance of landing an even number (2, 4, or 6).

Combine these probabilities together, and you result in a 4 out of 12 chance of getting the requirements. The 4 comes from adding the chance of getting a 1 and 3 even numbers, and the 12 comes from adding the 2 6's (since two dices would result in 12 sides).

#teamtrees #WAP (Water And Plant)

Answer:

Angle CBA = 50 degrees

Step-by-step explanation:

Known Information:

Calculations:

The measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

DC is parallel to AB. angle DCA is 3x+14, angle ACB is 10x+12, and angle CAB is 5x-2.

The equation can be framed:

3x + 14 = 5x - 2

x = 8

Angle CBA = 180 - (Angle CAB - Angle ACB)

Angle CBA = 180 - [5(8)-2+10(8)+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 180 - [40-2+80+12]

Angle CBA = 50

Thus, the measure of the angle CBA is 50 degrees if DC is parallel to AB. angle DCA is 3x+14.

Learn more about the angle here:

brainly.com/question/7116550

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Answer:

203

Step-by-step explanation:

17*7=119

12*7=84

84+119=203

Answer:

$48.24

Step-by-step explanation:

33% of 72 = 23.76

72 - 23.76 = 48.24

Answer:

they make $19 dollars in profit per sweater

Step-by-step explanation

154/11 is 14. This means that they paid $14 dollars per sweater.

363/11 is 33, meaning that they sold each sweater for $33.

$33 - $14 is $19, thus they made $19 dollars per sweater.

(I could be wrong, though. I tend to make dumb and simple mistakes of simple math, lol)

Answer:

19

Step-by-step explanation:

First Find the difference of the two amounts.

Profit = Sale - Cost

Profit = 363 - 154

Gross Profit = 209

Each sweater sold brings in a profit of 209 / 11  = 19 dollars

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

Answer:

y = 2x - 22

Step-by-step explanation:

y = 2x - 8

it is the form of y = mx + c

to be parallel the m should be the same ..

so the equation m = 2

znd it is given that it is passing (11,0) so that the equation should satisfy the point ( 11,0)

y = mx + c

y = 0 , m = 2 , x = 11

0 = 2 ( 11 ) + c

c = -22

so the required equation for the parallel line is

y = 2x - 22

Answer:

y ≈ 4.63

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

y = 1/8x

x = 37

Step 2: Evaluate

And we have our final answer!

Answer:

4.5

Step-by-step explanation:

7.3= y + 2.8

Subtract 2.8 from both sides

7.3 = y+ 2.8

-2.8     -2.8

--------------------

y = 4.5

Answer:

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = (smt-your question isn't complete), their gradients/slope must be the same (aka m = __)

sub (3, 3):

3 = __(3) + c

c = __

therefore, the equation of the line is y = __x + __

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

prime number number that are divisible by itself n 1

=10

Answer:

Southwest.

Step-by-step explanation:

East clockwise 90 degrees is South

South clockwise 45 degrees is Southwest

PLS GIVE BRAINLIEST

Think about it.

Starting on the x-axis at 0° we move in a CLOCKWISE direction and stop in quadrant 3 at 135°.

We travel in the SOUTHWESTERN direction.

Answer: to solve the 3 unknown variables X, Y and Z in a set of 3 equations. Each equation has containing the unknown variables X, Y and Z. This 3 equations 3 unknown variables solver computes the output value of the variables X and Y with respect to the input values of X, Y and Z coefficients. In mathematic calculations, there are many situation arises where the usage of equation containing 3 unknown variables need to be solved prior to go further with the calculations. Therefore when it comes to online calculation, this Find the value of X, Y and Z calculator is an essential tool to assist you to find out the variable values given in the equation.

Step-by-step explanation: X  =  2

Y  =  -1

Z  =  1

Answer:

(71) I believe

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

Answer:

Approximately 72 bpm.

Step-by-step explanation:

In order to find the expected heart rate you need to look at the x-axis on the graph. Since the male exercises 2 hours a week, use that value for x and find where x = 2 lies on the line. In this graph, the line goes through x = 2 at the same time it goes through y = 72. Since the y-axis represents the resting heart rate, we now know that if a 30 year-old male exercises for 2 hours a week, his resting heart rate will be around 72 bpm(beats per minute).

I hope this helps :)

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

[tex]r=\frac{d}{2}[/tex]

  [tex]=\frac{35}{2}[/tex]

   [tex]= 17.5[/tex] cm

The inner surface area of a hemispherical bowl = 2πr²

[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]

[tex]=6.28\:\times \:17.5^2[/tex]

[tex]=1923.25[/tex]

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²

Answer:

Lucy's dog needs to gain 6 pounds.

Step-by-step explanation:

Lucy's dog lost 6 pounds so the dog will have to gain 6 pounds.

The Dog need to gain 6 pounds for net change of zero pounds.

We have Lucy's whose dog lost 6 pounds.

We have to find out how much weight does her dog need to gain in order to have a net change of 0 pounds.

Number of toffees left after loosing 'y' toffees = x - y

The number of toffees to buy = x - (x - y) = x - x + y = y

A/Q -

Let the Dog's initial weight be -  W

After loosing 6 pounds, the weight will be -   W - 6

For a net change of zero pounds, he needs to add = W - (W - 6) = W - W + 6 = 6 Pounds.

Hence, he need to gain 6 pounds for net change of zero pounds.

To solve more questions on estimating net change , visit the link below -

https://brainly.com/question/19955066

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Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

[tex]S = -2.7t^2+40t+6.5[/tex]

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

[tex]-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0[/tex]

It is a quadratic equation. Its solution is given by :

[tex]t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s[/tex]

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

Answer:

83273

Step-by-step explanation:

Answer:

Derive the formula for the depressed cubic  x3+3px=2q

Step-by-step explanation:

It's hard, so good luck to your math teacher

Answer:

5(x - 1)(x + 1)

Step-by-step explanation:

A(x) = (3x - 2)² - (2x - 3)² = (3x - 2 + 2x - 3)[3x - 2 - (2x - 3)] = 5(x - 1)(x + 1)

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

69 + z = 180

z = 180 - 69

z= 111

Answer:

The answer is R=2

Step-by-step explanation:

30=2 times 15

Answer:

Step-by-step explanation:

Let the integers be:

Their sum is 114:

Solving for n:

The numbers are: 27, 28, 29 and 30