Mathematics College

Show your work. -2.5(4x -4) = -6

Answers

Answer 1

Answer:

x = 1 3/5

Step-by-step explanation:

distribute.

-2.5*4x + (-2.5*-4) = -6

-10x +10 = -6

subtract 10 on both sides

-10x = -6 -10

divide by -10

x = -16/-10

x = 1 3/5

Related Questions

Riley put £450 into a savings account which
gathered simple interest at a rate of 2% per month.
After 6 months, Riley used some of the money in
the account to buy a bike costing £480.
How much money did Riley have left?

Answers

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Find the difference between -14w - 3 and 5w.

Answers

Answer:

-19w - 3

Step-by-step explanation:

-14w - 3 - (5w)

-14w - 3 - 5w

-19w - 3

Hope it helps...

Answer:

-19w3

Step-by-step explanation:

im cool

At the end of a snow storm, Emily saw there was a lot of snow on her front lawn. The
temperature increased and the snow began to melt at a steady rate. There was a depth
of 15 inches of snow on the lawn when the storm ended and after 4 hours, the depth
of snow was down to 12 inches. Write an equation for S, in terms of t, representing
the depth of snow on Emily's lawn, in inches, t hours after the snow stopped falling.

Answers

Answer:

-0.75t+15

Step-by-step explanation:

I just did it

The require equation is;

S = 27- 3t

What is an equation?

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

From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t

After storm ends, the snow depth is 15 inches

After 4 hours of melting, the snow depth is 12 inches

∴ Rate of melting = 12/4 inches/hour = 3 inches/hour

So in the 4 hours, the amount of snow melted = 3*4 inches = 12 inches

So the total depth of the snow initially will be 15 + 12 = 27 inches

So the required equation;

S = 27- 3t

Where S is the depth of the snow after a particular number of hours t

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Hi can any one teach me this constant difference

Answers

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

How do you find the constant difference in a sequence of numbers?

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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what type of shape is a square

Answers

A square is a special case of many lower symmetry quadrilaterals

Answer:

A square is a closed, two dimensional shape with 4 equal sides.

It is also a quadrilateral.

Step-by-step explanation:

none :)

Convert 30 miles per hour to inches per second. Round to the tenth.
inches/second

Answers

Answer:

30 Miles Per Hour to Inches Per Second = 528

rounded to the nearest tenth: 530

If 9% of a number is 75, find 3% of that number.
Delta math again.

Answers

Answer:

Step-by-step explanation:

$0.09a=75\\a=\frac{75}{0.09} \\0.03*a=0.03*\frac{75}{0.09} =25$

Desperate Need Of Help

Answers

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

What is a domain?

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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What would be the equation for a line that is perpendicular to a line of Y = 3X +2

Answers

The equation of the perpendicular line is y = -1/3x

How to determine the perpendicular line equation?

From the question, we have the following parameters that can be used in our computation:

y = 3x + 2

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/3

The equation of the line is then calculated as

y = mx

Where

m = -1/3

So, we have

y = -1/3x

Hence, the line has an equation of y = -1/3x

Answers

Answer:

8/13 = 0.615

Step-by-step explanation:

Nolan is only using these numbers, not actual probabilities, to formulate his results. Therefore, only using these numbers, there is an 8/13 chance of Nolan flipping a head with his lucky coin, as he flipped heads 8/13 times.

Answer:

13 time /8 head

= 8/ 13

= 0.615

A number is first increased by 20 and then doubled. The result is 2 less than 5 times the number.

Answers

Answer: The number is 14

Step-by-step explanation:

A number is increased by 20: (X + 20)

Then doubled: 2(X + 20)

5 times the number: 5X

2 less than 5 times the number: 5X - 2

Setting the bold statements equal: 2(X+20) = 5X - 2

Distribute left side: 2X + 40 = 5X - 2

Move X's: 40 = 3X - 2

Move numbers: 42 = 3X

Divide both sides by 3: X = 14

Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?

Answers

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
breads to each other person. Then each person eats all of the ginger bread they were given. After that the
number of ginger breads halves. How many ginger breads did the five friends have to start with?

Answers

Answer:

The five friends had 10 fingers to start with; one had two each

Step-by-step explanation:

The statement says each gave one of not all of his ginger in the toasting session.

Plsss help I am falling

Answers

(118/360) times pi times 4 ^2 = 16.50

Find the area of square ABCD shown below. Round to the nearest tenth if necessary.
O
D
y
O
A
B
square units

Answers

The area of the square given in the diagram is: 25 square units.

What is the area of the square?

Pythagoras Theorem is defined as the way in which we find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

Using Pythagoras theorem, we can find the length of a side of the square:

AB = √(3² + 4²)

AB = √(9 + 16)

AB = √25

AB = 5

Area of a square is given by the formula:

A = side * side

Thus:

A = 5 * 5

A = 25

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Round 47,250 to nearest thousand

Answers

Answer:

your answer will be 47000

Answer:

The correct answer is 47,000.

If g is the midpoint of AB, classify each triangle by its angles and sides

Answers

Each triangle can be classified by its angles and sides in the following ways :

triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .

What is the image point of (7,4) after the transformation
R270° 0 ry=-x?

Answers

The image point of (7, 4) after the transformation R270° 0 ry=-x is (7, -4)

How to determine the image point

Given

Point = (7, 4)

First, let's apply the rotation of 270 degrees counterclockwise around the origin to the point (7, 4).

This is represented as

(x, y) = (y, -x)

So, we have

Image 1 = (4, -7)

Next, let's apply the reflection about the line y=-x to the point (-4, 7). This transformation maps a point to its reflection across the line y=-x, which is the same as swapping its x- and y-coordinates and negating them.

Thus, we have:

Image 2 = (7, -4)

Therefore, the image point of (7, 4) after the transformation R270° 0 ry=-x is (7, -4)

Answers

The correct formula for the slope will be:

m = (100 - 50)/(4 - 2) = 50/2 = 25 . Rafael took the reciprocal of the values.

Explain about the slope of the line?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. Δy and Δx are the net changes in the y and x coordinates, respectively.

So,

m = Δy / Δx

Using the slope-intercept form, as illustrated below, we can quickly get the slope for just a given line:

Y = mx + c can be used to represent a line.

where the slope's numerical value is m, the x-coefficient.A line's slope and steepness are both referred to as its slope.

For the stated question:

The slope calculated by Rachel is:

m = (4 - 2) / (100 - 50) = 2/50 = 1/25

Which is incorrect .

Thus, the correct formula for the slope will be:

m = (100 - 50)/(4 - 2) = 50/2 = 25

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Which value of d would make the
expression 9 1/3 divide d/6 equivalent to a
whole number?

Answers

Answer: 5

Step-by-step explanation:

(9 × 3 + 1)× 6 over 3d (Cancel out 3 in both numerator and denominator)

2(1 + 3 × 9 ) over d (Multiply 3 and 9 to get 27)

2(1 + 27) over d (Add 1 and 27 to get 28)

2×28 over d (Multiply 2 and 28 to get 56)

Help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C. y= -3x+5

Step-by-step explanation:

Formula: y-y1=m(x-x1)

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

y+1=-3x+6

y=-3x+5

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

a = 13

b = 0

Step-by-step explanation:

Conjugate of -3 + 2i is -3 - 2i

(-3 + 2i) (-3 - 2i)

We need to expand:

9 + 6i + -6i + -4i^2

-4i^2 =(-4)(-1) = 4

9 + 4 = 13

a = 13

b = 0

if m(x)=x-7 and n(x)= 1/x+7 find the function value if possible of (mxn)(7)

Answers

The function value if possible of (mxn)(7) is mathematically given as

(m.n)(7) =0

This is further explained below.

What is the function value if possible of (mxn)(7)?

Generally, the equation for the is mathematically given as

m(x) &=x-7

Therefore

$n(x) = \frac{1}{x}+7$

(m * n)(x) = m(x) * n(x)

$=(x-7) \cdot\left(\frac{1}{x}+7\right)$

(m * n)(7) = (7-7) * n(1/7 + 1)

(m.n)(7) =0

Answers

Answer:

$y = 5x$ -- You

$y = 3 + 3x$ --- Your friend

Step-by-step explanation:

Given

You:

Trailhead implies the beginning so:

$Start = 0\ mile$

$Rate = 5miles/hour$

Your Friend

$Start = 3\ mile$

$Rate = 3miles/hour$

Required

Represent as an equation

From the question, we understand that:

$y = distance$

$x = number\ of\ hours$

So, the relationship between $distance\ and\ time\ is:$

$Distance = Start + Rate * Number\ of\ hours$

In terms $of\ x\ and\ y$, we have:

$y = Start + Rate * x$

For you, the equation becomes:

$y = 0+ 5* x$

$y = 0+ 5x$

$y = 5x$

For your friend, the equation becomes:

$y = 3 + 3 * x$

$y = 3 + 3x$

Answer:You

Step-by-step explanation: you are just better gangy

Three law firms are looking for new lawyers. There are 75 graduate students in the area. There are only 15 graduates leaving the area for work. There are 15 with a bar exam score of 257 or less. About 19 have a score of 263 and 29 with a score of 264−269. Only 12 have a bar exam score of 270 or higher. The top law firm will only consider graduates with a bar exam score of at least 270. How many graduates are looking to work in the current area?

Answers

Answer:

Step-by-step explanation:

75-15=60

3. The fuel economy of a car, measured in miles per gallon, is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour. What's the fuel economy of the car when it
travels at an average of 20 miles an hour?
O A. 20 miles per gallon
O B. 26.63 miles per gallon
4
O C.-10.02 miles per gallon"
O D. 22.38 miles per gallon
O Mark for review (Will be highlighted on the review page)

Answers

Answer:

The Answer Will Be D

Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.

use method of reduction of order to find a second solution of the given equation; t^(2)y''+2ty'-2y=0, t>0
if y_1(t)=t , (given hint): set y_2= v(t)t

Answers

The second solution of the given differential equation t^2y''+2ty'-2y=0, t>0 is y_2(t) = c/t where c is an arbitrary constant.

The second solution of the given differential equation t^2y''+2ty'-2y=0, t>0 is y_2(t) = c/t where c is an arbitrary constant.

y_2(t) = t^2v'(t) + 2t v(t) - y_1(t)

Substituting y_1(t) and y_2(t) in the given equation, we get

t^2v''(t) + 2tv'(t) - 2v(t) = 0

This is a first order linear differential equation and can be solved as

v'(t) = -2v(t)/t

Integrating both sides, we get

v(t) = c/t^2

Therefore, the second solution of the given equation is

y_2(t) = c/t

The second solution of the given differential equation t^2y''+2ty'-2y=0, t>0 is y_2(t) = c/t where c is an arbitrary constant.

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Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)

Answers

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

‼️PLEASE HELP MY FINAL IS TODAY‼️‼️‼️
9. Determine mzB. Round to the nearest degree.

35
C
B
a.
34°
43°
C. 47°
d. 56°
b.
24

Answers

Answer:

The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.

Help me please, thank you

Answers

Answer:

Option D is your correct answer

I think it will help.

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