The local meteorologist claims that the temperature is going to steadily drop over the next 4 hours. If the temperature changes by the same amount each hour, and it changes by a total of -28°F, how much will it change each hour? Explain how you got your answer in two or more complete sentences.

Answer:

First number 2

Second number 1

Step-by-step explanation:

Let the first number = x

Let the second number = 3x - 5

Equation

x + 3x - 5 = 3                    

Solution

x + 3x- 5 = 3                   Combine

4x - 5 = 3                        Add 5 to both sides

4x - 5 + 5 = 3 + 5           Combine

4x = 8                              Divide by 4

4x/4 = 8/4                       Combine

x = 2

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

Answer:

x = - 3 and x = 1

Step-by-step explanation:

Given the rational expression

[tex]\frac{x}{x^2+2x-3}[/tex]

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Thus x = 1 and x = - 3 are both excluded values

Answer:

The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23

Step-by-step explanation:

Let

x ----> the number of pounds of raspberries sold

y ----> the number of pounds of peaches sold

we know that

[tex]2x+3y=103[/tex] -----> equation A

[tex]y=x+6[/tex] -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for x

[tex]2x+3(x+6)=103[/tex]

[tex]2x+3x+18=103[/tex]

[tex]5x=103-18[/tex]

[tex]5x=85[/tex]

[tex]x=17\ pounds[/tex]

Find the value of y

[tex]y=17+6=23\ pounds[/tex]

therefore

The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23

Answer:

t = -4

Step-by-step explanation:

1/4t + 4 = 3/4t + 6 because 6 is 3/4 of 8

-1/2t + 4 = 6 because you subtract 3/4 from both sides

-1/2t = 2 because you subtract 4 from each side

t = -4 because you divide each side by -1/2

Final answer:

The range for the relation 3x - y = 3 with the domain (-2,2,4) is calculated by substituting each domain value into the equation, resulting in the range (-9, 3, 9).

Explanation:

To find the range for the relation 3x - y = 3 given the domain (-2,2,4), we need to substitute each value from the domain into the equation and solve for y. Here's how you do it step by step:

The range for the given domain is (-9, 3, 9).

Answer: x-3/2=6

Step-by-step explanation: The terms "less than" means to subtract, and to flip the terms provided. This gives you x-3. Halved suggest to divided by 2. Now you have x-3/2=6.

Answer:

<R=23°

Step-by-step explanation:

The sum of angles in a triangle is 180°

So, <R + <S + <T = 180°

<R+90°+67°=180°

<R+157°=180°

<R=23°

Answer:

the difference is 25.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

10 times 5 = 50

50 + 9 = 59

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The number is = 5

Let's take the number to be = X

Ten times a number= 10 × X = 10x

Increased by 9 is 59 = 10x + 9 = 59

To find X,

10x = 59 - 9

10x = 50

make X the subject of formula,

X = 50/10

X = 5

Therefore, the number is 5

Learn more about equations here:

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Answer:

1. The value is 50,000 The value in the ten thousands place is different than the place value of the thousands place by a power of 10.

Step-by-step explanation:

The value in the ten thousands place for the Big Roller Coaster tickets is 5, which is ten times greater than the value in the thousands place, also 5, due to the base-10 number system.

The value of the ten-thousands place for the number of tickets sold for the Big Roller Coaster, which is 255,429, is 5. This is obtained by looking at the digit in the second place from the left.

The value of the tens place is different from the value of the thousands place because each place represents a different power of 10.

In the number 255,429, the number in the thousands place is 5, which actually represents 5,000 (5 x 1,000), while the number in the ten thousands place is also 5, but it represents 50,000 (5 x 10,000).

Thus, the value in the tens place is ten times greater than the value in the thousands place in the base-10 number system.

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Hey!

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Solution:

Find the Highest Common Factor of 8, 12, and 20.

Highest Common Factor = 4

Divide.

8 / 4 = 2

12 / 4 = 3

20 / 4 = 5

4 symbolizes the amount of baskets there are.

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Answer:

2 banana's per basket.

3 apple's per basket.

5 orange's per basket.

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There is no possible way that there can be the same amount of fruit in each basket.

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Hope This Helped! Good Luck!

Answer:

$91.75

Step-by-step explanation:

Jessica is paid:

1st day:

Jessica picked 65 baskets of oranges (less than 100)

Jessica is paid [tex]65\cdot \$0.45=\$29.25[/tex]

2nd day:

Jessica picked 135 baskets of oranges (35 more than 100)

Jessica is paid [tex]100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50[/tex]

Altogether Jessica is paid

[tex]\$29.25+\$62.50=\$91.75[/tex]

Answer:

= -46

Step-by-step explanation:

Since, it is below zero, it is in the negatives. Therefore, it is -46.

Answer:

-46

Step-by-step explanation:

Anything below zero is going to be a negative integer. Your problem asks to write an integer to represent 46 degrees below zero. So, we would write the number 46 with the negative symbol, which is ( - ). There for the correct answer would be -46.

Here are some other examples:

54 degrees below zero  →  -54

negative 120  →  -120

16 degrees below zero  →  -16

Answer:

25

Step-by-step explanation:

20 books in 4 months is 5 books in 1 month.

20÷4=5

4÷4=1

1×5=5

5×5=25

Answer:

I cant answer it because it blocked the equation can you show the details on text?

Step-by-step explanation:

Answer: True

Step-by-step explanation:

A linear function is of the form: y = mx + b    where

The given equation is y = 4x

In this equation, m = 4 and b = 0 so it is a linear function.

Answer:

2.XA is congruent to LJ

4.angle L is congruent to angle L

1.angle A is congruent to angle J

3.YA is congruent to QJ

Step-by-step explanation:

...

Answer:

28.2%, 786056

Step-by-step explanation:

100-71.8%=28.2%

1094786-(1094786*28.2%)≅786056

Answer:

There is exactly 11.3562 liters of liquid but to round it would be about 11.36 liters of liquid

Step-by-step explanation:

1 gallon =3.78541 liters

Answer:

A closed dot means (or equal to) which i will be signifying with bold numbers

3) 2 < x > 5

4) 5 < t > 3

5) -3 < m > -1

6)  -2 < x < -6 (This one feels like its not right but I cant find a better way to state it)

7) 36 > Fridge < 46

Answer:

B

Step-by-step explanation:

X^2+2x+1-17=0

X^2+2x-16=0

[tex]x = - 1 + \sqrt{17} [/tex]

Answer:

90

Step-by-step explanation:

Divide the larger number by the smaller number

If the remainder is zero then the larger number is the LCM

If not repeat with multiples of larger number

90 ÷ 15 = 6 remainder 0

Since remainder is 0 then 90 is the LCM of 15 and 90

whole number

Step-by-step explanation:

And the reason is because it doesn't have decimals or fractions in it.

The slope of a linear function is determined by finding the rate of change between any two points on the line.

The slope of a linear function can be determined by finding the rate of change between any two points on the line. To do this, you can calculate the difference in the y-coordinates and divide it by the difference in the x-coordinates. For example, if two points on the line are (2, 5) and (4, 9), the slope would be (9 - 5) / (4 - 2) = 4 / 2 = 2.

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The correct answer is a. -6.

To find the slope of the linear function represented in the table, we will use the slope formula:

m = (y2 - y1) / (x2 - x1)

Let's calculate the slope using the points given in the table:

Point 1: (-2, 8)

Point 2: (-1, 2)

Applying these values to the slope formula, we get:

m = (2 - 8) / (-1 - (-2))

This simplifies to:

m = (-6) / (1)

So, the slope is -6.

Therefore, the correct answer is a. -6.

Answer:

161.5 degrees

c- 4, 140

Answer: C

Step-by-step explanation: Subtract 2 from 25 to get 23. Then, multiply by 180. This equals 414p

As for the 19-gon, the sum is 360

Let's go through the steps.

d/5 +12 = -15

1. Multiply both sides by 5.

Doing this we get:

d + 60 = - 75

2. Subtract 60 from both sides.

d = - 75 - 60

d = -135

Step 2 above is the final step taken to find the value of d.

Answer:

i think that is called a line segment

Step-by-step explanation:

Answer:

line segment

Step-by-step explanation:

Answer:

-2-3i  in the complex plane would be 2 units to the right of the origin and

3 units below the Real number line.

Step-by-step explanation:

Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.

Answer:

No, 2.171m.

Step-by-step explanation:

Add all of measurements. 3.52+17.3+27.009=47.829

Compare 2 numbers.

47.829<50

So she needs more ribbon,because the length she has is less the requirement, 50m.

Find the difference(the length she needs).

50-47.829=2.171