Translate the sentence into an equation.
Five more than the product of a number and 6 equals 4.
Use the variable w for the unknown number.

Answer:

b=1

Step-by-step explanation:

First we need to isolate the variable (kind of like social distancing) well lets move -8 to the other side and make it positive since we moved it to the other side.

3b = -5+8

3b = 3

b = 1

Answer:

25

Step-by-step explanation:

Given expression:

[tex]5^{1125} \times 0.2^{1123}[/tex]

Rewrite 0.2 as a fraction:

[tex]\implies 5^{1125} \times \left(\dfrac{1}{5}\right)^{1123}[/tex]

[tex]\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]

[tex]\implies 5^{1125} \times \dfrac{1^{1123}}{5^{1123}}[/tex]

Simplify the numerator by applying the exponent rule a¹ = a:

[tex]\implies 5^{1125} \times \dfrac{1}{5^{1123}}[/tex]

[tex]\textsf{Apply the fraction rule} \quad a \times \dfrac{b}{c}=\dfrac{ab}{c}:[/tex]

[tex]\implies \dfrac{5^{1125} \times1}{5^{1123}}[/tex]

[tex]\implies \dfrac{5^{1125}}{5^{1123}}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies 5^{1125-1123}[/tex]

Simplify the exponent:

[tex]\implies 5^{2}[/tex]

Simplify:

[tex]\implies 5 \cdot 5[/tex]

[tex]\implies 25[/tex]

Answer:

19.95 + .71 × x = 125.74

x = 141.053

x is the answer

Answer:

30.8% increase.

Step-by-step explanation:

17 - 13 |13| * 100% = 4 13 * 100 = 30.8%

I hope this helped you!

9514 1404 393

Answer:

  (d)  12.3

Step-by-step explanation:

From the Law of Cosines, you can solve for c:

  c = √(a² +b² -2ab·cos(C)) = √(22.09 +104.2441 -95.974cos(105.3°))

  c ≈ √151.659 ≈ 12.31499

Side c is about 12.3 units long.

Given:

[tex]m\angle B=90^\circ, m\angle D=90^\circ, AB=x, BD=9, BC=1, DE=5[/tex].

To find:

The value of x.

Solution:

In triangles ABC and ADE,

[tex]\angle B\cong \angle D[/tex]              (Right angles)

[tex]\angle A\cong \angle A[/tex]              (Common angles)

[tex]\Delta ABC\sim \Delta ADE[/tex]              (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional. So,

[tex]\dfrac{AB}{AD}=\dfrac{BC}{DE}[/tex]

[tex]\dfrac{x}{x+9}=\dfrac{1}{5}[/tex]

On cross multiplication, we get

[tex]5x=x+9[/tex]

[tex]5x-x=9[/tex]

[tex]4x=9[/tex]

[tex]x=\dfrac{9}{4}[/tex]

[tex]x=2.25[/tex]

Therefore, the value of x is 2.25 units.

Answer: 24

Step-by-step explanation:

2/5 times 60 = 24

of means to multiply.

Answer:

- 32, - 7, 18 and 127, 106, 85

Step-by-step explanation:

Add the common difference d to the previous term

(1)

a₁ = - 32

a₂ = a₁ + 25 = - 32 + 25 = - 7

a₃ = a₂ + 25 = - 7 + 25 = 18

The first 3 terms are - 32, - 7, 18

(2)

a₁ = 127

a₂ = a₁ + d = 127 - 21 = 106

a₃ = a₂ + d = 106 - 21 = 85

The first 3 terms are 127, 106, 85

Answer:

-32, -7, 18 and

127, 106, 85

Step-by-step explanation:

You can use the following formula to solve this:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

a is the nth term in the sequence. So at the 3rd term, n = 3

a₁ is the first term in the sequence. In your first question, a₁ is -32. In your second, a₁ is 127.

(n - 1) represents the term before a, or the term before the current term. So at the 3rd term, (n - 1) = 3-1, which is 2.

d represents the common difference between terms. Aka what you add or subtract to a term to get the next one.

For the first question, you know a₁ and d, so you can substitute them into the equation to find the second and third terms:

a = -32 + (n - 1)25

You also know (n-1), because a is 2 when you're looking for the second term. So (n-1) = 2-1, which is 1. So put that in the formula and simplify:

a = -32 + (1)25

a = -32 + 25

a = -7

The second term is -7. To find the 3rd term, do the same thing.

a = -32 + (n - 1)25

(n-1) is 2, since you're on the third term and n is 3.

a = -32 + (2)25

a = -32 + 50

a = 18

So the first 3 terms are -32, -7, and 18.

For the second one, the formula looks like this:

a = 127 + (n - 1)-21

The first term is 127. Find the 2nd (n is 2):

a = 127 + (1)-21

a = 127 -21

a = 106

Then find the 3rd term (n is 3)

a = 127 + (2)-21

a = 127 -42

a = 85

So the first 3 terms are 127, 106, and 85.

x=12

L||M means L will be parallel to M.

Two lines are parallel if their corresponding angles are the same.

Corresponding angles are shown below.

As the two angles given are corresponding, L||M when x+5 = 2x-7.

x+5 = 2x-7

x = 12

Therefore, the value of x which makes L||M is 12.

Answer:

x = 12

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ x + 5 = 2x - 7

Then the value of x will be,

→ x + 5 = 2x - 7

→ x - 2x = -7 - 5

→ -x = -12

→ [ x = 12 ]

Hence, the value of x is 12.

Answer:

G should be at the sum of y and x combined but x is not given

Step-by-step explanation:

Answer:

(0,-2)

Step-by-step explanation:

The graph intercepts through the y axis, G.

You can get these coordinates b solving the equation like so:

y=3x-2

move the x varible to the left side and the y to the left....

-3x+y=-2        

 -3x=-2-y

divided both sides by 3 to isolate x

x= 2/3+ 1/3y

when you graph that equation you get the points (0,-2)

Answer:

-2/5

Step-by-step explanation:

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

m=(2-0)/(-4-1)

m=2/-5

m=-2/5

Answer:

20.6

Step-by-step explanation:

The problem can be solved by applyPythagoreanean theory

a^2+b^2= c^2

19^2 + b^2= 28^2

361 + b^2= 784

b^2= 784-361

= 423

b= √423

= 20.6

Answer:

the answer is 37

Step-by-step explanation:

Answer: Triangle ABC is a right triangle, because it satisfies the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

c^2 = a^2 + b^2

25^2 = 17^2 + 21^2

625 = 289 + 441

625 = 730

Since it is a right triangle, angle A is the angle opposite side a, which is the side that is the length of 17.

A right triangle also has one angle which is always 90 degree, that is the angle opposite the hypotenuse, so the remaining angle is A, which is 90- angle C, which is

90 - 42.3 = 47.7 degree.

Therefore the measure of angle A is 47.7°

So the correct answer is C. 42.3°

Step-by-step explanation:

Answer:

15 nickels

Step-by-step explanation:

Choose variables:  n = number of nickels,  d = number of dimes.

There are two pieces of information given:

There are 45 coins, so  n + d = 45.

The total value is $3.75 (let's use cents in order to avoid decimals), so

5n + 10d = 375

Solve the first equation for d by subtracting n from both sides.

d = 45 - d

Substitute this expression for d in the value equation:

5n + 10(45 - n) = 375  See? The only variable is now  n!

Distribute the 10 (multiply).

5n + 450 - 10n = 375

450 - 5n = 375

-5n = -75

n = 15

There are 15 nickels.

The number of hours of practice is 3 x h or 3h.

In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.

Given:

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.

Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.

The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.

Number of hours of practice

= hours of practice x number of practice

= 3 x h

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Answer:

To find out how many cups a single jug of water fills, you can divide the total number of cups filled by the number of jugs:

184 cups / 23 jugs = <<184/23=8>>8 cups/jug

This means that one jug of water fills 8 cups.

Step-by-step explanation:

Answer:

29 dollars

Step-by-step explanation:

first find the cost for one minute

4.35/3 = 1.45$ per minutes

1.45 x 20 = 29 dollars

Answer:

Just did the Connexus Parametric functions Review Practice:

1. D

2. A

3. B

4. A C and D

5. C

6. C

7. D

8. B

9. A C and E

10. D

11. D

12. C

13. A

14. D

For part 1 the equation y = -x +1  and orientation is down to the right and for part 2 the equation 1=x^2/4+y^2/16; an ellipse with vertical major axis

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

1) We have parametric equations x = t - 1 and y = -t + 2

After converting from parametric to Cartesian form, we will get:

y = -x +1  and orientation is down to the right

2) For parametric equations, x = 2cost and y = 4sint

In the Cartesian form:

[tex]\rm 1=\dfrac{x^2}{4}+\dfrac{y^2}{16}[/tex]

With vertical major axis

Similarly, we can get parametric equations represents the skater's jump.

Thus, for part 1 the equation y = -x +1  and orientation is down to the right and for part 2 the equation 1=x^2/4+y^2/16; an ellipse with vertical major axis.

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Answer:

B

Step-by-step explanation:

The circumference of a circle can be described as the linear distance round the circle

The circumference of a circle = 2πr or πD

π = 3.14

r = radius

d = diameter

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

π  = circumference / 2r or circumference / D

37.68 / 12

To find the mass of an object, one can use the formula (Force x Distance) / Gravitational Constant (FG). This formula involves multiplying the force applied to an object by the distance it moves, and then dividing the result by the gravitational constant (FG). The resulting number is the mass of the object in kilograms.

Mass can be found by using the formula (Force x Distance) / Gravitational Constant (FG).

For example, if a force of 10N is applied to an object that is moving 2 meters, the mass of the object can be calculated as follows:

Mass = (10 N x 2 m) / FG

Mass = 20 / 9.8

Mass = 2.04 kg

Finding mass using the force-distance formula (FG) is a simple process. To use it, one needs to know the force applied to an object, the distance it moves, and the gravitational constant (FG). The force and distance values can be measured or calculated depending on the situation. The gravitational constant is a fixed number and is equal to 9.8 m/s2. To calculate the mass, one needs to take the force multiplied by the distance and then divide it by the gravitational constant (FG). The resulting number is the mass of the object in kilograms. This formula is useful for calculating the mass of objects in a variety of situations. It is also useful for verifying the mass of an object that has already been measured.

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Answer:

c

Step-by-step explanation: