What is an example of a situation that you might be able to use an equation with a single unknown to help understand?

The weight before the party could be any positive number

The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:

x - weight used at the party = 7/8

We know that the weight used at the party is the weight before the party minus the weight after the party.

So we can substitute 3x for the weight before the party:

3x - (7/8) = weight used at the party

We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.

So we can set up another inequality:

weight used at the party ≤ 3x

Putting it all together:

3x - (7/8) ≤ 3x

Simplifying:

-(7/8) ≤ 0

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ1

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

7π/12 lies in the second quadrant, so we expect cos(7π/12) to be negative.

Recall that

\(\cos^2x=\dfrac{1+\cos(2x)}2\)

which tells us

\(\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1+\cos\left(\frac{7\pi}6\right)}2}\)

Now,

\(\cos\left(\dfrac{7\pi}6\right)=-\cos\left(\dfrac\pi6\right)=-\dfrac{\sqrt3}2\)

and so

\(\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1-\frac{\sqrt3}2}2}=\boxed{-\dfrac{\sqrt{2-\sqrt3}}2}\)

The side length of perry's phone will be 8 inches.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Perry who wants to project a movie from his phone to a screen on the wall. The side length of the screen is 56 in. The scale from the screen to the phone is 7 in. to 1 in.

Assume the side length of perry's phone be [x] inches. Then, we can write the proportion as -

56/x = 7/1

x = 56/7

x = 8

Therefore, the side length of perry's phone will be 8 inches.

To solve more questions on equation modelling, visit the link below-

brainly.com/question/6593383

#SPJ5

Answer:

13x

Step-by-step explanation:

(x)(4(2)+5)

x(8+5)

x(13)

13x . answer

Answer:

\(\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}\)

Step-by-step explanation:

Given that:

f(x) = x²

Put x = 4x + 5

f(4x + 5) = (4x + 5)²

f(4x + 5) = (4x + 5)(4x + 5)

f(4x + 5) = 4x(4x + 5) + 5(4x + 5)

f(4x + 5) = 16x² + 20x + 20x + 25

f(4x + 5) = 16x² + 40x + 25

\(\rule[225]{225}{2}\)

Hope this helped!

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

it B

Step-by-step explanation:

B stands for ben

like talking ben?

Answer:

c. 7x-2=19

Step-by-step explanation:

1. add 2 to both sides 7x-2(+2)=19+2

2. divide by 7 on both sides7x/7=21/7

3. x=3

the percent increase in the price of a gallon of milk from 1985 to 2005 is 59%

Define percent increase

Percent increase can be described as the rise in the value of an item, in this case the value is milk.

Write out the parameters

In 1985 the price of a gallon of milk is $2.20

In 2005 the price is $3.50

Formula for percent increase

new price-old price/new price × 100

Calculate the percent increase

new price= $3.50

old price= $2.20

= 3.50-2.20/2.20

= 1.3/2.20

= 0.59 × 100

= 59%

Hence the percent increase from 1985 t0 2005 is 59%

Please see the link below for more information

https://brainly.com/question/878172

Answer: SS Error

Step-by-step explanation:

The SS Error refers to the sum of the squares of the deviations of the observations, from their mean. It is simply the total variance from the observations on the study.

In performing a one-way ANOVA, the SS Error measures the variability of the observed values around their respective means and this is done through the summation of the squared differences between each observed value of the response and its corresponding treatment mean.

Answer:

18

Step-by-step explanation:

15 x 20%=18

Answer:

138

Step-by-step explanation:

because when you add 18 to 120 it is 138

Answer:

/

dont subtract 3 from -7m so it would be -7m + 3

7m

/

= m = 3

We want to convert 11.42424242... to a fraction.

This is a repeating decimal, so do do this we first ignore, for now, the interger part.

So let's work with 0.424242... at first.

We can see that the repeating pattern is "42". Since this is a two-algarism pattern, to get the fraction for it we put the repeating pattern divided by repeating 9 with the same number of algarisms, in this case, two.

So:

Now, we can't forget the integer part, which is "11". So, we put them together to get the final answer:

This corresponds to the third alternative.

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:

Step-by-step explanation:

Let the number to be found be x

The product of a number and 3 is written as

15 minus twice the number is written as

Now equate the two statements

That's

3x = 15 - 2x

Group like terms

3x + 2x = 15

5x = 15

Divide both sides by 5

the final answer is

Hope this helps you

The fraction of Kaitlins family have green or brown eyes is 5/8

The complete question is added as an attachment

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

Green = 3/8

Brown = 2/8

This means that

Green or Brown = 3/8 + 2/8

Evaluate the like terms

Green or Brown = 5/8

Hence, the fraction is 5/8

Read more about fraction at

https://brainly.com/question/78672

#SPJ1

Answer:

The appropriate hypotheses for performing a significance test is:

\(H_0: \mu = 51\)

\(H_1: \mu > 51\)

Step-by-step explanation:

Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.

At the null hypothesis, we test if the mean score this year is the same as last year, that is:

\(H_0: \mu = 51\)

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

\(H_1: \mu > 51\)

The appropriate hypotheses for performing a significance test is:

\(H_0: \mu = 51\)

\(H_1: \mu > 51\)

Answer:

this is the answer

Step-by-step explanation:

1125=11×425×4=44100=0.44

Answer:

-10 :)

Hey champ! Here's the 'splination!

equation: 50-5x=100

50=-5x. (subtract 50 from both sides)

-10=x (divide both sides by -5)

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

x=1.13

Step-by-step explanation:

isolate the variable and the numbers and solve.

Answer:

x = 25

Step-by-step explanation:

By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,

Thus, we come to the conclusion that 2x + 3 = 53

x = 25

Answer:51

Step-by-step explanation:i did this quizzie before

Answer:

\(34 + ( - 21) + 15 = 28\)

The value of AB to the nearest tenth of a meter is 21 meter.

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Two triangles are similar, if the ratio of their corresponding sides are in the same proportion

Triangle ABC and CDE are proportional, hence:

AB / DE = AC / CE

substituting:

AB / 7 = (12 + 6)/6

AB = 21 meter

The value of AB is 21 meter.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

Answer: 42

Step by step:

42 is divisible by both 7 and 2

Answer:

44

Step-by-step explanation:

4 x 11 = 44

2 x 22 = 44

Answer:

it block pic

Step-by-step explanation: