Solve this equation with a variable term on both sides:

5.1y + 21.3 = –0.3y – 24.6

What is the solution?

y =

Answers

Answer 1

Answer:

-8.5

Step-by-step explanation:

5.1y + 21.3 = -0.3y - 24.6

get the equation to one side and have so it y is positive

5.4y + 45.9= 0

Then subtract 45.9 to the 0 so its like this

5.4y = -45.9

then devide -45.9/5.4

answer y= -8.5

Answer 2

Answer:

-8.5

Step-by-step explanation:


Related Questions


Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).

A) y = 3.14
B) y = 3.14x
C) y =
1
5
x
D) y = −5x

Answers

Answer:

A

Step-by-step explanation:

Perpendicular to x = -5 is going to be a horizontal line.

Since it passes through (1,3.14),

Equation is y = 3.14

The product of 5 and an odd number will end in what value?
A) 0
B) 1
C)3
D)5

Answers

Answer:

D) 5

Step-by-step explanation:

If we multiply 5 and an odd number, the end value will not be 0, 1, and 3. For example,

5 × 1 = 5

5 × 9 = 45

Therefore, in both the product, the end value is 5 and not 0, 1, and 3.

Therefore, option D is correct.

If we multiply 5 by any of the odd number, we can get the end value of 5. The following examples are the valid reasons why we will get 5.

5 × 3 = 15

5 × 5 = 25

So, option A, B, and C are wrong.

Answer:

A) 0

B) 1

C)3

D.5 ←

7)
A radio costs $20. Harold buys it for $16. What percent off did he receive?​

Answers

Answer:20%

Step-by-step explanation:

20-16=4

4/20=0.2

Move the decimal to the right twice and you get 20

What is 23 x 3/5?? I don’t get it at all please help!!

Answers

Answer:69/5

Step-by-step explanation:

69/5 because you would make 23 the fraction of 23/1, and carry on with your normal multiplication.

The recursive formula to describe a sequence is shown below

a1=4
an=an-1+2n

State the first four terms of this sequence.

Answers

Given that the recursive formula for a sequence is [tex]a_n=a_{n-1}+2n[/tex]

The first term of the sequence is [tex]a_1=4[/tex]

We need to determine the first four terms of the sequence.

Second term:

The second term of the sequence can be determined by substituting n = 2 in the recursive formula.

Thus, we have;

[tex]a_2=a_{2-1}+2(2)[/tex]

[tex]a_2=a_{1}+2(2)[/tex]

[tex]a_2=4+4[/tex]

[tex]a_2=8[/tex]

Thus, the second term of the sequence is 8.

Third term:

The third term of the sequence can be determined by substituting n = 3 in the recursive formula.

Thus, we have;

[tex]a_3=a_{3-1}+2(3)[/tex]

[tex]a_3=a_{2}+2(3)[/tex]

[tex]a_3=8+6[/tex]

[tex]a_3=14[/tex]

Thus, the third term of the sequence is 14.

Fourth term:

The fourth term of the sequence can be determined by substituting n = 4 in the recursive formula.

Thus, we have;

[tex]a_4=a_{4-1}+2(4)[/tex]

[tex]a_4=a_{3}+2(4)[/tex]

[tex]a_4=14+8[/tex]

[tex]a_4=22[/tex]

Thus, the fourth term of the sequence is 22.

Hence, the first four terms of the sequence is 4, 8, 14, 22.

Round each addend to 0,1/2, or 1. What is the best estimate for the sum of 5/6 + 3/7

Answers

Answer:

Step-by-step explanation:first round the fractions then add decide if it goes to 0,1/2,or 1

The best estimate for the sum of 5/6 and 3/7 by rounding to the nearest 0, 1/2, or 1 is 1.5 or 3/2.

To estimate the sum of 5/6 and 3/7, we round each addend to the nearest of the given values: 0, 1/2 (0.5), or 1. Five-sixths is closer to 1 than it is to 1/2 or 0. So, we round 5/6 to 1.

Three-sevenths is closer to 1/2 than to 1 or 0. So, we round 3/7 to 1/2. After rounding, our new equation for estimation is 1 + 1/2.

The best estimate for the sum thus becomes 1 + 1/2 which equals 1.5 or 3/2. This is a quick way to find a rough estimate of the sum without finding a common denominator or adding the actual fractions.

Need this done ASP, What is trhe volume of the cone?​

Answers

Answer:

490pi/3

Step-by-step explanation:

The volume of the cone is V=1/3*b*h, as shown in the image. The height is 10, the base is pi*radius^2, and the radius is 7 making V=1/3*10*pi*7^2 or 490pi/3 after the calculations

Based on my mathematical conclusions the answer to your problem is C

A delivery company pays its drivers a fixed fee for each delivery made that day. The company deducts a daily fee for the use of the company's delivery truck. The drivers net pay in dollars, p, for one day is given by the equation p = 11d − 55, where d is the number of delivers made in one day. What does the number 55 most likely represent?

Answers

Answer:

55 is probably the fixed fee that the delivery company charges before anything.

Answer:

The companies daily fee

Step-by-step explanation:

P = pay

D = deliveries

55 = the daily fee the company deducts for the use of their truck

Pay = deliveries - company deduction

Which property was applied to create this equivalent expression?

7 x + (5 + 6 x) right-arrow (7 x + 5) + 6 x
A.the commutative property only
B.the associative property only
C.the distributive property only
D.both the commutative property and the associative property

Answers

Answer:

wrong it is B.the associative property only

Step-by-step explanation:

Three of the shapes have the same area. Which one does not?

Answers

Answer:A

Step-by-step explanation:

Answer:

No the answer is c. because it is the only one not equal to 24.

Step-by-step explanation:

choice a is a parallelogram which would be equal to 24 because for a parallelogram to find the area you multiply base times height.

6 times 4 is 24.

What is the missing number in this pattern?
1, 4, 9, 16, 25, 36, 49, 64, 81,

Answers

Answer:

no numbers are missing

Step-by-step explanation:

Don't fool others

Which ordered pair is a solution of the equation?
7x-2y=-57x

Answers

Answer:

D Neither

Step-by-step explanation:

D neither

Hope it helps you in your learning process.

6
Create two sets of data with the following characteristics.
• Each data set has 5 values.
The mean of set 1 is greater than the mean of set 2.
The MAD of set 1 is less than the MAD of set 2.

Answers

121111111111111111111

What’s a linear function

Answers

Answer:

What is Linear Function? - Equation, Graph, Definition

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

Step-by-step explanation:

The vertices of a polygon are P(0,4), Q(5,4), R(5-3) and S(0,-3). What is the perimeter of the polygon? (Show work please)

Answers

Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

Hiroki and Mapiya were asked to find an explicit formula for the sequence 125, 25, 5, 1,

Answers

Answer:

You always have to divide the total for 1/5

for instance:

125/5 = 25

25/5 = 5

5/5 = 1

brainliest please ;)

Answer:

Only Hiroki

Step-by-step explanation:

His formula makes the most sense to the sequence.

The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?

Answers

Answer:

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

[tex]\:a\:\times \:b\:\times \:\pi[/tex]

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

The value of a = major axis/2 = 25/2 = 12.5 inchesThe value of b = minor axis/2 = 4/2 = 2 inches

Thus

The area of the ellipse:

                                     Area = [tex]\:a\:\times \:b\:\times \:\pi[/tex]

                                              [tex]=\:12.5\:\times\:2\:\times\:\pi[/tex]

                                              [tex]=25\pi[/tex]

                                               [tex]=78.5[/tex] inches     ∵ [tex]\pi =3.14[/tex]

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Josie and her brother, Sean both have a job after school. For every $5.50 that Josie earns, her brother earns $6.50. On Tuesday, they earned $30.00. How much money did Josie earn? How much did her brother earn?

Answers

Answer:

Josie will earn $13.75  and her brother Sean will earn $16.25

Step-by-step explanation:

Given that For every $5.50 that Josie earns, her brother earns $6.50.

Tuesday, they earned $30.00

Using the ratio and the proportional

Josie : Sean : Total

 5.5  :   6.5   :  12

   x    :     y     :  30

So, x = 5.5 * 30/12 = 13.75

And y = 6.5 *30/12 = 16.25

So, Josie will earn $13.75  and her brother Sean will earn $16.25

The volume of a rectangular prism is 1,000^3 mm. Use the formula V = lwh to determine which of the statements are true. Choose all that apply
The prism could be a cube with a side length of 10 mm.
It is possible for the length to be 1,000 mm.
The length, width, and height must end in zero.
It is possible that the length is 2.5 mm.

Answers

(A) The prism could be a cube with a side length of 10 mm.

(B) It is possible for the length to be 1,000 mm.

(D) It is possible that the length is 2.5 mm.

Explanation:

Volume = l×w×h

where l is the length, w is the width and h is the height

It is possible that the length is 2.5 mm

Then volume = 2.5 × 10 ×40 = 1000 mm³

It is possible for length to be 1000 mm

Then volume = 1000 × 0.1 × 10 = 1000 mm³

The prism could be a cube of length 10 mm

Then volume = 10 × 10 × 10 = 1000 mm³

What is the equivalent fraction of 24/126

Answers

Answer:4/21

Step-by-step explanation:divide 6 by both sides

The equivalent fraction of 24/126 is 4/21.

To find an equivalent fraction, one can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 24 and 126 is 6.

Dividing both the numerator and the denominator by 6, we get:

[tex]\[ \frac{24 \div 6}{126 \div 6} = \frac{4}{21} \][/tex]

Therefore, the fraction 4/21 is equivalent to 24/126.

what’s the slope of (2,-7) and (-1,6)

Answers

Answer:

m = -13/3

Step-by-step explanation:

The difference of your y's divided by the difference of your x's.

The Answer is:::


M=13/3

Wes wants to buy 3 pepper plants from the garden center. The regular price of a pepper plant
is $5. If Wes buys 3 plants, he can use a 20%-off coupon. If he buys 4 plants, he can use a
30%-off coupon Wes wants to know if buying 4 plants is less expensive than buying 3 plants.
What is the sale price of 3 pepper plants after a 20% discount?

Answers

Answer: 12

Step-by-step explanation: cuz i said so

Final answer:

The sale price of 3 pepper plants after a 20% discount is $12.

Explanation:

To figure out the sale price of 3 pepper plants after a 20% discount, we first calculate 20% of the regular price. The regular price of one pepper plant is $5, so 20% of $5 is $1. Therefore, the sale price of one pepper plant is $5 - $1 = $4. As Wes wants to buy 3 plants, we multiply this sale price by 3, so the total price after discount for 3 plants is $4 * 3 = $12.

So, the sale price of 3 pepper plants after a 20% discount is $12.

Learn more about Discount Calculation here:

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She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week Giselle worked both jobs for a total of 30 hours and earn a total of $690 how long did she work as a carpenter last week and how long did she work as a blacksmith

Answers

Answer:

There is a few combinations but as carpenter it is (9.5hrs x $20=$190 ) and as a blacksmith 20 x $25= 500

Step-by-step explanation:

She wore as a carpenter for 12 hours (20 x 12 = 240) and she worked as a blacksmith for 18 hours (25 x 18 = 450) 240 + 450 = 690

What is -3t + -8 =25

Answers

Step-by-step explanation:

-3t-8=25

-3t=25+8

-3t=33

t=33/-3

t=(-11)

-3t-8=25
-3t=25+8
-3t=33
t=33/-3
t=(-11)

13-(-6) helpppp meee

Answers

Answer:

19

Step-by-step explanation:

Step 1:  Solve

13 - (-6)

13 + 6

19

Answer:  19

Given the functions f(n) = 11 and g(n) = −2(n − 1), combine them to create an arithmetic sequence, an, and solve for the 31st term.

Answers

Final answer:

To create an arithmetic sequence using the given functions, we add the functions together and substitute the desired term. The 31st term of the arithmetic sequence is -49.

Explanation:

To combine the functions f(n) = 11 and g(n) = -2(n - 1) into an arithmetic sequence, we need to find the common difference between the terms. The common difference between the terms in an arithmetic sequence is obtained by subtracting one term from the previous term. In this case, the common difference is g(n). So, the arithmetic sequence can be expressed as an = f(n) + g(n).

For the 31st term, we substitute n = 31 into the equation and calculate:

a31 = f(31) + g(31)

a31 = 11 + [-2(31 - 1)]

a31 = 11 + [-2(30)]

a31 = 11 + [-60]

a31 = -49

Therefore, the 31st term of the arithmetic sequence an is -49.

Learn more about Arithmetic Sequences here:

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Solve for a

- 8a = 24

Answers

Answer:

a = -3

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other.

Divide -8 from both sides:

(-8a)/-8 = (24)/-8

a = 24/-8

a = -3

a = -3 is your answer.

Answer:

a = -3 to find this answer divide both sides by -8

Integer Operation:
Adding Integers
1) 85 + (-96) =

Answers

Anytime your adding a negative number, its the same as subtract a positive number.

85 + (-96) → 85 - 96

85 - 96 = -11

Best of Luck!

2/sqrt(10) simplified

Answers

Answer:

20qrt/s        / as in over

Step-by-step explanation:

To simplify 2/√(10), multiply the numerator and denominator by √(10) to get √(10)/5. This process removes the square root from the denominator.

To simplify the expression 2/√(10), we rationalize the denominator. This involves removing the square root from the denominator by multiplying the numerator and the denominator by the square root of 10.

Multiply the numerator and denominator by √(10):
2/√(10) × √(10)/√(10)This gives us:
(2 × √(10)) / (√(10) × √(10)) = 2√(10) / 10Simplify the expression by cancelling common factors:
2√(10) / 10 = √(10) / 5

So, the simplified form of 2/√(10) is √(10)/5.

Evaluate each function at each of the four points.

Functions:
f(x) = x2 – 5x – 6
f(x) = 23 – 22 – 12
f(x) = 5.24

Points:
f(0)
f(2)
f(-1)
f(6)

Answers

1) f(0)= -6 , f(2)=  -12, f(-1)=  0, f(6)= 0

2) f(0)= -12 , f(2)= -8 , f(-1)= -14 , f(6)= 168

3) f(0)= 5 , f(2)=  20, f(-1)= 2.5 , f(6)= 320

Step-by-step explanation:

1) The given function is f(x) = x² – 5x – 6.

To find the values of  f(0) , f(2),  f(-1),  f(6) :

Substitute x=0 in f(x) = x² – 5x – 6

f(0) = -6

Therefore, f(0) = -6

Substitute x=2 in f(x) = x² – 5x – 6

f(2)  = (2)² -5(2)-6

⇒ 4-10-6

⇒ 4-16

⇒ -12

Therefore, f(2) = -12

Substitute x= -1 in f(x) = x² – 5x – 6

f(-1)  = (-1)² - 5(-1) -6

⇒  1+5-6

⇒ 6-6

⇒ 0

Therefore, f(-1)  = 0

Substitute x= 6 in f(x) = x² – 5x – 6

f(6) = (6)² - 5(6) -6

⇒ 36 -30 -6

⇒ 36-36

⇒ 0

Therefore, f(6) = 0

2) The given function is f(x) = x³– x²–12.

To find the values of  f(0) , f(2),  f(-1),  f(6) :

Substitute x=0 in f(x) = x³– x²–12

f(0) = -`12

Therefore, f(0) = -12

Substitute x= 2 in f(x) = x³– x²–12

f(2)  = (2)³ - (2)² -12

⇒ 8-4-12

⇒ 8-16

⇒ -8

Therefore, f(2)  = -8

Substitute x= -1 in f(x) = x³– x²–12

f(-1)  = (-1)³ - (-1)² -12

⇒  -1-1-12

⇒ -14

Therefore, f(-1)  = -14

Substitute x= 6 in f(x) =  x³– x²–12

f(6) = (6)³ - (6)² -12

⇒ 216 -36 -12

⇒ 216-48

⇒ 168

Therefore, f(6) = 168

3) The given function is f(x) = [tex]5.24^{x}[/tex]

To find the values of  f(0) , f(2),  f(-1),  f(6) :

Substitute x=0 in f(x) = [tex]5.2^{x}[/tex]

f(0) = 5 × [tex]2^{0}[/tex]

Any number with power zero is 1.

f(0) = 5

Therefore, f(0) = 5

Substitute x=2 in f(x) = [tex]5.2^{x}[/tex]

f(2) = 5 × 2²

⇒ 5×4

⇒ 20

Therefore, f(2) = 20

Substitute x= -1 in f(x) = [tex]5.2{x}[/tex]

f(-1)  = [tex]5\times2^{-1}[/tex]

⇒ 5 × 1/2

⇒ 5 × 0.5

⇒ 2.5

Therefore, f(-1)  = 2.5

Substitute x= 6 in f(x) =  [tex]5.2^{x}[/tex]

f(6) = [tex]5\times 2^{6}[/tex]

⇒ 5 × 64

⇒ 320

Therefore, f(6) = 320

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