4 - t = 3(t-1) - 5
A 3
B 6
C no solution
D Identity

Answer:

y<6

Step-by-step explanation:

You will solve it like a one-step equation but just leave the less then symbol. so anything less then 6 is your answer

The solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted below.

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

Characteristics of the graph of the inequality-

The equation which need to be solve is,

[tex]y - 4 < 2[/tex]

Add 4 both side of the equation to solve it further,

[tex]y < 2+4\\y < 6[/tex]

This is the simplified form of the equation. This equation suggest that the value of y is less than the number 6.

Thus, the arrow should be point left side and the open circle is put on number 6 to make the number line for given equation as shown in figure attached below.

Thus, the solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted below.

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Answer:

2.5(x-4.7)=10.3

Step-by-step explanation:

Answer:

2√17

Step-by-step explanation:

√((8 - 0)² + (2 - 0)²)

√(64 + 4)

√68

2√17

The length of segment AB, where A = (0,0) and B = (8, 2), is calculated using the distance formula, resulting in a length of AB is √68.

To calculate the length of segment AB where A = (0,0) and B = (8, 2), we can use the distance formula derived from the Pythagorean theorem. The distance formula for two points A(x1, y1) and B(x2, y2) in a coordinate plane is the square root of the sum of the squares of differences between corresponding coordinates:

Distance AB = √[(x2 - x1)² + (y2 - y1)²]

Plugging in the coordinates of points A and B, we get:

Distance AB = √[(8 - 0)² + (2 - 0)²] = √[64 + 4] = √68

Therefore, the length of AB is √68, which is the exact length of the segment AB between points A and B.

Answer:

-33

Step-by-step explanation:

So we start out by plugging in the values for x and y which becomes:

-3 + (-3 x 10)

Then we do PEMDAS which tells us to solve the values inside the parentheses first( P in PEMDAS) which becomes:

-3 + -30

A negative number added to another negative number stays negative, giving us the answer:

-33

Answer:-1

Step-by-step explanation:

The slope of the line passing through the points (-4,4) and (-6,6) can be calculated using the formula for slope (m = (y2 - y1)/(x2 - x1)). Substituting the provided points into the formula gives m = 2/-2 = -1. Thus, the slope is -1.

To determine the slope of a line passing through the two points (-4,4) and (-6,6), we use the following formula for calculating slope, often associated with the letter 'm':

Where x1, y1, x2, and y2 are the coordinates of the points the line passes through. In this case, (x1, y1) is (-4,4) and (x2, y2) is (-6,6).

these values into the formula:

m = (6 - 4) / (-6 - -4)

this gives us:

m = 2/-2 = -1

So, the slope of the line passing through the points (-4,4) and (-6,6) is -1.

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Answer:

Step-by-step explanation:

ANS:

y = 2x − 5 y = mx + b

−1 = 2(2) + b

−5 = b

Step-by-step explanation:

70 = 1 · 70

70 = 2 · 35

70 = 5 · 14

70 = 7 · 10

70 = 2 · 5 · 7

Answer:

The Consumer Price Index (CPI) is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care. It is calculated by taking price changes for each item in the predetermined basket of goods and averaging them

Answer:

A.  4ab^2.

Step-by-Step Explanation.

12 a^3 b^6  c^5 / 3 a^2 b^4 c^5

Dividing each pairs of terms:

12 / 3 = 4.

a^3 / a^2 =  a.

b^6 / b^4 =  b^2.

c^5 / c^4 =  1.

So it is 4ab^2.

Answer:

No

Step-by-step explanation:

[tex][x - 5][3x - 2] \\ \\ 3 {x}^{2} - 17x + 10[/tex]

F - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT

O - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT

I - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT

L - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT

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Answer:

32,40,48,56

Can u plz give me the brainliest answer?

Have a nice day!!!!! :-)

KA

Answer:

A farmer sells an average of 15 3/5 bushels of corn each day.

In mixed fraction it is ;

[tex]\frac{78}{5}[/tex]

Let us say he has a total of x bushels.

So, after 6 days, he will sell, [tex]6\times\frac{78}{5}[/tex] bushels of corn.

= [tex]\frac{468}{5}[/tex] bushels of corn.

Hence, his left over inventory will have = [tex]x-\frac{468}{5}[/tex] bushels.

Answer:B. Rational Numbers

Step-by-step explanation:

Rational numbers can be finished. irrational number go on for infinity ex. pi.

Answer:

7 1/8 miles.

Step-by-step explanation:

The total number of miles Mary walked is 8 1/8.

Given that, Mary walked [tex]2\frac{1}{4}[/tex] miles around the park. In the afternoon, she  walked another [tex]5\frac{7}{8}[/tex] miles

We need to find the total distance walked by Mary.

Step I: Add the whole numbers together.

Step II: We take L.C.M. of the denominators and change the fractions into like fractions.

Step III: We add the like fractions and express the sum to its simplest form.

Now, [tex]2\frac{1}{4}+5\frac{7}{8}[/tex]=(2+5)(1/4 + 7/8)

=7 (2/8 + 7/8)

=7 9/8

=8 1/8

Therefore, the total number of miles Mary walked is 8 1/8.

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The solution for system of equations x-y=6 ,3 x-2 y=22 is x = 10 and y = 4

Solution:

Using substitution method of algebraic equations,

x - y = 6 --------equation 1

3x - 2y = 22 --------equation 2

Multiplying equation 1 by 2, equation 1 becomes

2 x - 2 y = 12

Multiplying equation 2 by -1, equation 2 becomes,

-3 x + 2 y = -22

Solving,

2 x - 2 y = 12

-3 x + 2 y = -22

-x = -10

x = 10

Substitute  x = 10 in equation 1, 10 - y = 6

y  = 10 -6

y = 4

Answer:

10,4

Step-by-step explanation:

^^

Answer:

Step-by-step explanation:

$ 0.68 type →85lb

$ 0.20 type →35lb

Hey!

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

Let $0.68 per pound beans be (b)

Let $0.20 per pound beans be (p)

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

~Total amount of pounds:

b + p = 120

~Total cost

b + p = 120 × 0.54

b + p = 64.8

~Expression

0.68b + 0.20p = 64.8

~Multiply 10 to both sides

0.68b * 10 + 0.20p * 10 = 64.8 * 10

~Simplify

6.8b + 2p = 648

~Divide 2 to both sides

6.8b/2 + 2p/2 = 648/2

~Simplify

3.4b + p = 324

~Subtract

    3.4b + p = 324

-         b + p = 120

~Simplify

2.4b = 204

~Divide 2.4 to both sides

2.4b/2.4 = 204/2.4

~Value of b

b = 85

~New expression

85 + p = 120

~Subtract 85 to both sides

85 + p - 85 = 120 - 85

~Value of p

p = 35

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

[tex]\large\boxed{Of~the~0.68~dollars~per~pound~there~are~85~pounds!}\\\large\boxed{Of~the~0.20~dollars~per~pound~there~are~35~pounds!}[/tex]

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

My answer is reasonable because 85 + 35 equals 120 pounds.

~If we check

85 * 0.68 = 57.8

35 * 0.2 = 7

57.8 + 7 = 64.8

We get 64.8 which we can say it is correct because if we go back into our work we can see that we used the expression b + p = 64.8 which in this case by checking our work our answer is reasonable.

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

Hope This Helped! Good Luck!

Answer:

all work is shown and pictured

Answer:

[tex]6\frac{1}{2}[/tex] hours more.

Step-by-step explanation:

We have been given that Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing.

To find number of hours Linda needs to practice to reach her goal, we will subtract 2 1/2 from 9 as:

[tex]9-2\frac{1}{2}[/tex]

Convert mixed fraction into improper fraction:

[tex]2\frac{1}{2}\Rightarrow \frac{2\times 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}[/tex]

[tex]9-2\frac{1}{2}\Rightarrow 9-\frac{5}{2}[/tex]

[tex]\frac{9*2}{2}-\frac{5}{2}[/tex]

[tex]\frac{18}{2}-\frac{5}{2}[/tex]

Combine numerators:

[tex]\frac{18-5}{2}[/tex]

[tex]\frac{13}{2}[/tex]

[tex]6\frac{1}{2}[/tex]

Therefore, Linda needs to practice [tex]6\frac{1}{2}[/tex] hours more to reach her goal.

Linda needs to practice for 7 hours and 30 minutes more to reach her 9-hour goal. She's already practiced for 2 1/2 hours, so subtracting this from the total planned practice time of 9 hours gives us the remaining time needed.

Linda planned to spend a total of 9 hours practicing piano this week. By Tuesday, she had already spent 2 1/2 hours on her practice. To find out how much more time she needs to practice to reach her goal, we subtract the time she has already practiced from the total planned practice time.

Here's the step-by-step calculation:

Write down the total number of hours planned for practice: 9 hours.

Write down the number of hours already practiced: 2 1/2 hours.

Convert the 1/2 hour into minutes to make the subtraction easier: 2 hours + 30 minutes.

Now subtract the hours and minutes separately: (9 hours - 2 hours) = 7 hours. Then subtract the minutes, but since there are no minutes in 9 hours, it remains the same: 30 minutes.

So, Linda needs to practice for 7 hours and 30 minutes more to reach her 9-hour goal.

x + 6 >= 0

x >= -6

Choice B is the answer.

Do you know why?

Answer:

7

Step-by-step explanation:

Divide 427 and 61 to find the quotient.

427 ÷ 61

= 7

Answer: 110.2 seconds

Step-by-step explanation:

Divide 1.9 by 7. That gets you 0.271428571428571. Then multiply that by 406. That in turn gets you 110.2 seconds. Alternatively, you could divide 406 by 7 and then multiply that answer by 1.9 to get the same answer.

Answer:

It's 771.4

Step-by-step explanation:

Hey!

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

Question Explanation:

In other words you can write 200,00 using a whole number and a power 10 using scientific notation!

In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.

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

Solution:

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

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

Answer:

2 x 10^5

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

Hope This Helped! Good Luck!

200,000 can be expressed as 2 x 10^5 in scientific notation, which helps to simplify handling of large and small numbers by reducing the number of zeros.

To express 200,000 using a whole number and a power of 10, we need to move the decimal place. Start by writing the number as 2 followed by five zeros, or 2,00000. The power of 10 is determined by the number of places we move the decimal. In this case, the decimal is moved 5 places to the left, so we use 10 to the power of 5. Thus, 200,000 can be written as 2 x 105.

This method is known as scientific notation or powers-of-ten notation. It simplifies dealing with very large and small numbers by reducing the number of zeros we have to keep track of. It also makes mathematical operations easier. For instance, when multiplying numbers in this notation, we need to multiply the numbers out front and then add the exponents.

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Answer:

Step-by-step explanation:

the system of equations are : one solution or infinity

Answer:

10 large and 10 small buckets in total.

214 clams in total.

Answer: 7 large 3 small

Step-by-step explanation:

Final answer:

After 14 months, the total amount paid to both Community Gym and Workout Gym will be the same, at $910 each.

Explanation:

To determine after how many months the total amount paid to both Community Gym and Workout Gym will be the same, we set up two equations representing the total cost for each gym over time. Let's let x represent the number of months. For Community Gym, the total cost is given by $70 + $60x, and for Workout Gym, it's $210 + $50x.

We set these two expressions equal to find the point where the costs are the same: $70 + $60x = $210 + $50x. Solving for x, we subtract $50x from both sides, getting $70 + $10x = $210. Then, we subtract $70 from both sides to get $10x = $140. Finally, we divide by $10 to find that x equals 14. So, after 14 months, the total cost for both gyms will be the same.

To find out what this total amount will be, we substitute x = 14 back into either gym's total cost equation. Using Community Gym's equation: $70 + $60(14) = $70 + $840 = $910. Therefore, after 14 months, the amount paid to both gyms will be $910.

Answer:

t = 7

Step-by-step explanation:

Combine like terms

3t - 2t + 2 = 9

t + 2 = 9

Move the variable

t + 2 = 9

 - 2      -2

t = 7

Answer:t=7

Step-by-step explanation:

Combine like terms

3t-2t+2=9

t+2=9

Subtract both sides with 2

t+2-2=9-2

t=7

Answer:

Range is 375, i have seen this one before.

Step-by-step explanation:

Take the largets value and subtract the smallest value from it to find the range.

Answer:

d) 3x - 1

Step-by-step explanation:

Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what it really is, so do not forget it. Anyway, here is how it is done:

-3| 3 8 -3

↓ -9 3

__________________

3 -1 0 → 3x - 1

You start by placing the c in the top left corner, then list all the coefficients of your dividend [3x² + 8x - 3]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 3 in your quotient can be a 3x, then -1 follows right behind it.

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Answer:

[tex]3.51%[/tex]

Step-by-step explanation:

To find percent of a number, what you have to do is as followed.

Multiply the percent by the number

[tex]5.4 * 65[/tex]

[tex]= 351[/tex]

Divide the answer by 100

3.51

Add percent symbol

3.51%

The value of 5.4% of 65 is 3.51.

This is the amount, number or rate of something, regarded as part of a total of 100. For instance,

20% of 100 equals 20

5% of 50 equals 2.5

So,

5.4% of 65

= 5.4/100 × 65

= 0.054 × 65

= 3.51

In conclusion, 5.4% of 65 equals 3.51

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