The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.

Answer:

A. 130.3F B. 32 minuits

Step-by-step explanation:

A: if It cools 2.5F a minuite than we will do 20x2.5=50

180.3-50=130.3

B: 180.3-100-3=80. So that means it cooled 80 degrees. we then divide 80 by 2.5. 80/2.5=32. and we know that it has cooled for 32 minuits

It takes 32 minutes to cool from 180.3°F to 100.3°F.

Given that, the temperature of a pot of water was 180.3°F and cools at a rate of -2.5°F per minute.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the temperature after 20 minutes be x.

Now, x = -2.5 × 20

= - 50° F

So, 180.3-50 = 130.3° F

Time taken to cool from 180.3°F to 100.3°F = 180.3-100.3=80°F

= 80/2.5

= 32 minutes

Therefore, it takes 32 minutes to cool from 180.3°F to 100.3°F.

To learn more about an equation visit:

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Answer:

5

Step-by-step explanation:

Answer:

Rewrite the expression= 5^2

Step-by-step explanation:

With the same base number of 5, one adds the exponents.

In this case 5^-2*5^-4*5^8    8-6=2 as the exponent

Answer: Original expression:  2x - 11 + 4x + 7 + 3(x-4)

Simplified: 9x - 16

Step-by-step explanation:

2x - 11 + 4x + 7 + 3(x-4) becomes 2x - 11 + 4x + 7 + 3x -12

Group like terms, then combine to simplify:

2x + 4x + 3x -11 + 7 - 12

2x + 4x + 3x = 9x  

-11 -12 + 7 = =23+7= -16

Simplified expression: 9x  - 16

Answer:

x= -5

Step-by-step explanation:

-3x + 25 = 40

you want to put x terms on one side, numbers on another side

subtract 25 on both sides

-3x = 15

divide both sides by -3

x= -5

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Answer:

well for me I think

Step-by-step explanation:

-3x=40-25

-3x=15

x=15/-3

x=-5

3/4 changed to 6/8 makes it a 7/8 when adding making this most simplified into 7/8

Answer:

S = (5m+79)

Step-by-step explanation:

It is given that,

Scores won by home team = (2m + 39) points

Score won by visiting team = (3m + 40) points

We need to find the sum to represent the total points scored by the two teams m minutes past halftime.

It can be calculated by the sum of score by two teams. Let the sum is S.

S = (2m + 39) + (3m + 40)

S = 5m + 79

Hence, sum to represent the total points scored by the two teams m minutes past halftime is (5m+79)

Answer:

(0,-7)

Step-by-step explanation:

have a nice dayyyyyy

Answer:

The degree of the polynomial is x

Answer:

[tex]\boxed {\boxed {\sf tan (B)=3/4}}[/tex]

Step-by-step explanation:

First, recall the right triangle trigonometry ratios.

We are looking for tangent, so we will use the last ratio.

We know that the sine of B is 3/5. Since sine is opposite over hypotenuse, the opposite is 3 and the hypotenuse is 5.

But, tangent needs opposite and adjacent.

We have to find the adjacent. This can be done using the Pythagorean Theorem, because these ratios are used with right triangles.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

We know the hypotenuse is 5 and one of the legs is 3.

[tex](3)^2+b^2=(5)^2[/tex]

Solve the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation to isolate the variable.

[tex]9-9+b^2=25-9\\b^2=25-9\\b^2=16[/tex]

b is being squared. The inverse of a square is the square root. Take the square root of both sides.

[tex]\sqrt{b^2}=\sqrt{16} \\b=\sqrt{16} \\b=4[/tex]

The adjacent side is 4.

Now we know the opposite (3) and adjacent (4). We can substitute these into the tangent ratio.

tan(θ)= opposite/adjacent

tan(B)=3/4

The tangent of B is 3/4

Answer: 14 cupcakes

Step-by-step explanation:

sugar available is 7.33 cups, the 1/3 cup of sugar is no use due to the fact that you need 1/2 cup of sugar to make a single cupcake.

for Spanish readers: el azúcar disponible es de 7.33 tazas, el 1/3 de taza de azúcar es inútil debido al hecho de que necesitas 1/2 taza de azúcar para hacer un solo cupcake.

for French readers:

le sucre disponible est de 7,33 tasses, 1/3 de tasse de sucre n'est pas utile car vous avez besoin de 1/2 tasse de sucre pour faire un seul petit gâteau.

hopefully this helped! :D

Answer:

one cupcake= 1/2 cup of sugar

Total sugar availability: 7 and 1/3 or 7.33

Now go ahead and divide 7.33/.50

Notice that for every cup of sugar you can make exactly 2 cupcakes

Therefore you can make a total or 7*2=14 cupcakes

You are unable to utilize the rest of the 1/3 cup because you need 1/2 to make a singular cupcake

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Answer:

Answer:

y=3 1/3x

This is because x number of minutes times 3 and 1/3 is equal to y or the number of pages. Substitute the value of x to find the answer to the second question:

y= 3 1/3 * 72

Answer:

91.6 km/h

Step-by-step explanation:

Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.

Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.

Since the car catches up with the van after it had moved a distance of 130 km,  d = d' = 130 km.

So d = v(t + 0.583)

Substituting d = 130 km and v = 65 km/h, we have

130 km = 65 km/h(t + 0.583)

130 km = (65t + 37.895 )km

subtracting 37.895 from both sides, we have

130 km - 37.895 km = 65t

92.105 = 65t

dividing both sides by 65, we have

t = 92.105/65

= 1.417 h

≅ 1.42 h

Since d = d' = v't,

v' = d'/t

= 130 km/1.42 h

= 91.55 km/h

≅ 91.6 km/h

So, the average speed of the car is 91.6 km/h

Answer:

1,250,250 gallons

Step-by-step explanation:

1.25 * 10^6 gallons = 1,250,000 gallons

1,250,000 gallons + 250 gallons = 1,250,250 gallons

The answers to be dragged in red box are 30 units², 105.5 units² and 36.1 units² respectively and the answers to be dragged in orange box are 190 units³, 2170 units³ and 386.1 units³ respectively.

Step-by-step explanation:

The area of base of prism is literally the area of the base part of the prism. In this case, its a triangular prism so its base is a Triangle. You can find base area of 1st figure by using 1/2 ×perpendicular×base of right angled triangle whereas on 2nd and 3rd figure you can use 1/2 ×height×base of Triangle.

The volume of Prism is given by base area ×height of the prism, so you can easily find it.

Hope it was helpful and i apologize for my English because I am not a native speaker of English.

Answer:

x = 4

Step-by-step explanation:

Given

2x² - 7x - 4

To solve for x , equate the expression to zero

2x² - 7x - 4 = 0 ← in standard form

(x - 4)(2x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus the positive value of x is x = 4

Answer:

x=4

Step-by-step explanation:

Hope this helped have an amazing day!  

9514 1404 393

Answer:

  40.5 ft

Step-by-step explanation:

Solve for the time at which the balls meet, then find the corresponding height.

__

The balls will meet at the height such that the two values of h are the same.

  -16t^2 +56t = h = -16t^2 +156t -248

  0 = 100t -248

  t = 2.48

Using the first equation to find h, we have ...

  h = t(-16t +56) = 2.48(-16·2.48 +56) = 40.4736

The balls meet at a height of about 40.5 feet.

Answer:

Use substitution to write the equation: -16t^2 +56t = -16t^2 + 156 - 248

simplify and solve for t, which is 2.48 seconds

substitute 2.48 for t into either equation to get h=40.5 feet

Answer:

No the point (20,15) is not on line j.

Answer: $30 + $10h > $140.

Step-by-step explanation: Currently Cassie has $30, so that is the fixed amount of money she has. She needs $140 dollars, so this will be on the left side of your inequality with a "greater than symbol". Cassie can earn $10 an hour, use the variable "h" to represent the number of hours she will work. Set your inequality like this:

$30 + $10h > $140.

The reason why we use a "greater than" sign (>) is that the amount of money Cassie earns needs to be greater than the price of the calculator to be able to buy it.

Answer:

75%

Step-by-step explanation:

3/4 in decimal form is 0.75

0.75 x 100% = 75%

Thus 75% of the banana is made up of water.

Answer:

4(0.2w + 0.9)

Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values

any more help just ask :)

Answer:

C

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

| - 12 | - | - 3 |

= 12 - 3

= 9 → C

Answer:

the profit in the case when the shop is closed for 6 hours is $41

Step-by-step explanation:

The computation of the profit in the case when the shop is closed for 6 hours is shown below:

= Expression of the situation × number of hours in which the shop is closed

= 45 - 2 ÷ 3 × 6 hours

= $41

hence, the profit in the case when the shop is closed for 6 hours is $41

Therefore the third option is correct

Answer:

c

Step-by-step explanation:

Answer:

It's C (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72)

Step-by-step explanation:

1 × 72 = 72

2 × 36 = 72

3 × 24 = 72

4 × 18 = 72

6 × 12 = 72

8 × 9 = 72