Determine which integer(s) from the set S:{−18, 2, 15, 20} will make the inequality five sixths m minus four is less than one third m plus 5 false.

Let N be the nickels and Q be the quarters, since Charlie found 35 coins, we can write

Now, we know that a nickel is worth 5 cents and a quarter is worth 25 cents, then we can write

Then, the answer is option a.

The solution for the given inequality is :

x < -19

In interval notation it is:

(-∞, -19)

And the graph can be seen in the image below-

Here we have the following inequality:

7*(2x + 5) < 3*(4x - 1)

To solve it, we need to isolate x in one of the sides of the inequality. Doing that we will get:

14x + 35 < 12x - 3

14x - 12x < -3 - 35

2x < - 38

x < -38/2

x < -19

This is the solution, written in interval form it is:

(-∞, -19)

And to graph this, we need to graph an open dot at x = -19 (which means that x = -19 is not a solution) and a line that goes to the left, it will be something like in the image below.

Learn more about inequalities:

https://brainly.com/question/25275758

#SPJ1

An angle of rotation is the measure of the amount that a figure is rotated about a fixed point called a point of rotation.

To learn more about Angle of a rotation refer to:

https://brainly.com/question/2078551

#SPJ13

Answer:

(5x)(-1.2x+5)

=-6x^2+25x

Step-by-step explanation:

Answer:x+y=36

xy=256

x=256/y

256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

a

the error she has made is in cancelling the values in the denominators.

When cancelling fractions, this is performed between values on the numerator with values on the denominator.

correct result is

[tex]\frac{1}{15}[/tex] × [tex]\frac{3}{5}[/tex] ( cancel the 3 and 15 by 3 )

= [tex]\frac{1}{5}[/tex] × [tex]\frac{1}{5}[/tex]

= [tex]\frac{1}{25}[/tex]

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

b

as an estimate, multiply the numerators and denominators, that is

[tex]\frac{1(3)}{15(5)}[/tex] = [tex]\frac{3}{75}[/tex] = [tex]\frac{1}{25}[/tex]

For the transformation of parent function f(x)=|x| to the  g(x)=|x|+4, the transformation occurred is 4 units upward.

The function transformation / translation principles are as follows: f (x) + b raises the function b units.

The given parent function is; f(x)=|x|

The transformed function is; g(x)=|x|+4

Thus, from the 1st rule of the transformation we can say that the function has shifted 4 units to upward.

To know more about parent function, here

https://brainly.com/question/17079244

#SPJ9

The change in distance between the two after 15 minutes is 3.566 mi/h

Velocity is defined as the rate of change in displacement (distance) with time. It's a vector quantity so it has both magnitude and direction. Velocity is given by the formula:

Velocity = distance / time

If one walks east at 4 mi/h and the other walks northeast at 5 mi/h, then after 15 minutes, their distance are:

distance = velocity * time

distance₁ = 4 mi/h (15 mins)(1 hour/60 mins)

distance₁ = 1 mile east

distance₁ = 5 mi/h (15 mins)(1 hour/60 mins)

distance₁ = 1.25 mile northeast

Using trigonometric function and Pythagorean theorem, we can determine the distance between the two people. (Refer to the attached picture.)

d² = (1.25 sin 45°)² + (1.25 cos 45° - 1)²

d² = 0.795

d = 0.891 mi

After 15 mins, the distance is 0.891 mi and the change in distance in mi/h is

(0.891 mi / 15 mins)(60 mins / hour) = 3.566 mi/h

Learn more about velocity here: https://brainly.com/question/10425898

Answer: The answer is B.

Step-by-step explanation: The scale on the y-axis could be changed to 100–120.

Answer:

(-3/4, 0) and (0, 3/2)

Step-by-step explanation:

The [tex]x[/tex]-intercept is when [tex]y=0[/tex].

[tex]\frac{3}{4}+x=0 \implies x=-3/4[/tex]

So, the [tex]x[/tex] intercept has coordinates [tex](-3/4, 0)[/tex].

The [tex]y[/tex] intercept is when [tex]x=0[/tex].

[tex]\frac{3}{4}=\frac{1}{2}y \implies y=3/2[/tex].

So, the [tex]y[/tex] intercept has coordinates [tex](0, 3/2)[/tex]

The values are (4) The value of rise in temperature is 10 °C, (5) The new temperature is -10 °C (6) halfway between the two numbers in each pair is -2, 3, 1, -4; (7) The other temperature is 1°C.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold math Z.

Given that,

Tom’s greenhouse temperature is increasing

(4) The temperature is increased from -5 °C to 5 °C

The temperature is raised by 10 °C

(5) The temperature this morning was -6 °C. This afternoon, the

temperature dropped by 4 degrees

The new temperature is -10 °C

(6) The integer that

is halfway between the two numbers in each pair below.

a. 1 and -5 is -2

b. 5 and 1 is 3

c. -3 and 5 is 1

d. -3 and -5 is -4

(7) The difference between two temperatures is 3 degrees.

One temperature is 2°C.

The other temperature is 1°C.

To know more about integers, visit:

https://brainly.com/question/15276410

#SPJ9

well, is really "x", now, if we take 16 to be the 100%, what is 10 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 10& x \end{array} \implies \cfrac{16}{10}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{8}{5}=\cfrac{100}{x}\implies 8x=500\implies x=\cfrac{500}{8}\implies x=62.5[/tex]

A symbol that creates a true sentence for x = 6 is '>' i.e.,

12 ÷ x + 2x > 1 2 ÷ (x + 2x)

In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)

We need to select a correct symbol that would create a true sentence when x = 6.

Consider an expression 12 ÷ x + 2x for x = 6.

= 12 ÷ 6 + 2(6)

= 2 + 12

= 14                              ...................(1)

Consider an expression 12 ÷ (x + 2x) for x = 6

= 12 ÷ (6 + 2(6))

= 12 ÷ (6 + 12)

= 12 ÷ 18

= 0.67                               ...................(2)

From (1) and (2),

14 > 0.67

Therefore, a symbol that creates a true sentence for x = 6 is '>'

i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)

Learn more about an expression here:

https://brainly.com/question/1859113

#SPJ1

Answer:

160

Step-by-step explanation:

360-170-30=160 subtract all angles from 360

Answer:

140°

Step-by-step explanation:

oh, come on, this is like "you have 8 apples as a mixture of red and green apples. 5 apples are red, how many are green ?".

it is the same here.

the total angle is 170°.

now we know a part of it is 30°.

how large is the rest ?

well, it is 170 - 30 = 140°

The coordinates after dilation is

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given coordinates of triangle (-3, 6), (0, 3) and (-3, 3)

As, the figure dilated by factor 4/3

Then the coordinates after dilation is

(-3 x 4/3, 6 x 4/3) = (-4 , 8)

(0 x 4/3, 3 x 4/3) = (0, 4)

(-3 x 4/3, 3 x 4/3) = (-4, 4)

Hence, the coordinates are:

Learn more more about scale factor here:

https://brainly.com/question/22312172

#SPJ1

Based on the amount of water in the tub that Archimedes is draining as a function of time, the rate that the water drains is A. 72 liters per minute

The speed that the water drained is the same as the slope of the line. That slope can be found by the formula:

= Change in y / Change in x

Pick two points from the line;

(0, 360) and (5, 0)

The slope is:
= (0 - 360) / (5 - 0)

= -360 / 5

= - 72

This means that every minute, Archimedes  would have drained the water by 72 liters.

Find out more on function of time at https://brainly.com/question/15935895

#SPJ1

you take out a loan for $702 at an annual interest rate of 6% compounded quarterly for 2 years what is the total amount that you will have at the end of the two-year ​

we know that

The compound interest formula is equal to

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the total amount at the end of two years

P is the loan

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$702

r=6%=6/100=0.06

t=2 years

n=4

substitute the given values in the formula

therefore

the answer is

Answer:

Car C  with a gas mileage of 18.18 mpg

Step-by-step explanation:

Compute mileages by the formula: Miles Driven/Gas Consumed and choose the highest value

Car A:  500 /  33.4 = 14.97 mpg

Car B : 43 / 2.5  = 17.2 mpg

Car C: 100 / 5.5 = 18.18 mpg

Circle A and Circle B's connection

Circle A's size is more significant than Circle B's size.

As a result, circle A's radius exceeds circle B's radius.

The connection between segments

1.

Let M be the location where Segment QT and ER intersect.

Additionally, tangents from an outside point to a circle have identical lengths.

QM = ME———— (1)

MT=MR————(2)

Including (1) and (2)

MR + ME = QM + MT

Q T=ER

2.

Tangents from an exterior point to a circle have identical lengths.

We may write the following segments are equal using this property.

UP=U Q

Z C=ZR

V C=VS

NR=NS

KC=K T

What are Tangents?

A line that only touches a circle or an ellipse at one point is said to be divergent in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve. The following methods can be used to find the tangent equation in differential geometry:

As we are aware, the gradient of the curve at any given location on the curve is equal to the gradient of the tangent to the curve. The following is how to determine the tangent equation of the curve y = f(x):

Utilizing the differentiation principles, determine the gradient function's derivative.

To determine the tangent's gradient, the derivative should be changed to include the provided point's x-coordinate

Find the tangent equation by substituting the provided coordinate point and the gradient of the tangent into the straight-line equation (in a slope-point formula).

Circle's Tangent

A closed, two-dimensional form, a circle is also a curve. The radius of the circle or the line from the center O to the point of tangency is always vertical or perpendicular to the tangent line AB at P, i.e., OP is perpendicular to AB as illustrated in the accompanying picture.

Geometric Tangent

Here, "AB" stands for the tangent, "P" for the point of tangency, and "O" for the circle's center. The OP is the radius of the circle.

Learn more about Tangent https://brainly.com/question/19424752

#SPJ1

The teacher has set up 7 workstations in each classroom

Total pounds of clay = 7/8 pounds

Pound of clay put at each workstation = 1/16

Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Finding the number of workstations:

Number of workstations = Total clay available/Clay set up at each workstation

=(7/8)/(1/16)

=7/8*16/1

= 14 workstations

There are two classes in which these workstations are divided

so, each class will have 7 workstations

Learn more about fractions:

https://brainly.com/question/1301963

#SPJ1

Answer: Did you get the help you needed?

Step-by-step explanation:

Answer:it is x=24

because you cant divide a negative and negative to get a negative you will get a postive if you divide -24/-3 but 24/-3 is -8

Step-by-step explanation:

Answer:

tilly

its remy on the 4th quesiton

cricket loves burger clown

officer keys

gloria who works at coffee shop

because bill was going to lose the farm back in the country

Good Ol' Joe

because she let the cows out of the stables

here is your answers

The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.

It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.

From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.

Therefore, to make 15 servings, the total needed will be;

= (4 + 2 carrots) as (2 + 1 potatoes)

= 6 carrots and 3 potatoes

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The computation shows that 1756.18595945 to the nearest hundred-thousandth will be 1756.18596.

After being rounded, the value of the hundred thousandth place, which is five places to the right of the decimal point, determines the value of the nearest ten thousandth of a decimal number, which is the value four places to the right of the decimal point.

The thousandth digit should be rounded down if the digit is less than 5. If that number is five or more, round it up to the nearest thousand. We must round up the thousandth digit because in the example given above, the digit following the thousandth digit (i.e., 9) is more than 5. This will give a value of 1756.18596.

Learn more about numbers on:

https://brainly.com/question/11418015

#SPJ1

The coordinates of endpoint B is B( 10, 6).

What is coordinates?
A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates. The coordinates' order is important, and often they are recognised by their place in an ordered tuple or by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, although they could instead be complex numbers or components of a more abstract system, such a commutative ring.

Let the coordinate at point B be B( x,y )

given that A(0,0) and the midpoint of the line AB is (5,3).

We know the mind point formula:

midpoint = ( x2 + x1 / 2 , y2 + y1 / 2)

Therefore according to the question,

B(5 = x + 0 / 2  ,  3 = y + 0 / 2)

B( 10, 6)

To learn more about coordinates click on the link below:

https://brainly.com/question/12959377

#SPJ9

Answer:

4^-1 = 0.25

Step-by-step explanation:

The probability that at least one electrical components does not function properly is 83.3%

To make the calculation easier, use the following property:

P(at the very least one) = 1 - P (None)

The total number of electrical components is 6.

Number that which not work well: 1

Number that works well: 5

We have options for selecting 4 good components from a set of 5 by;

⁵C₄  = 5

We have 4 options from a total of 6 components by;

⁶C₄ = 6

We have a way to do this if everything works properly; ¹C₀ = 1

P(at the very least one) = ⁵C₄× ¹C₀ /⁶C₄

P(at the very least one) = 5 / 6

P(at least one) = 0.833 = 83.3%

Thus, the probability that at least one of the electrical component will not function is 83.3%.

To know more about the probability, here

https://brainly.com/question/13604758

#SPJ9

Answer:

.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.

Step-by-step explanation:.- El complemento de un ángulo nulo es el ángulo recto. 2.- El complemento de un ángulo recto es un ángulo nulo. 3.- El suplemento de un ángulo recto es otro ángulo recto. 4.- El suplemento de un ángulo obtuso sería lo que le falta para llegar a 180.