Solve for x
5x – 7 = 18

8 liters of 30 percent vinegar solution was mixed.

Percent or percentage is defined as the value for every 100. the simple way to calculate percentage is by dividing the data with the whole data and multiplying it by 100.

4 liters of 15 percent vinegar solution contains:

(15/100)×4 liters of vinegar=0.6 liters

x liters of 30 percent vinegar solution contains:

(30/100)× x liters of vinegar=0.03x liters

Therefore the total vinegar in the 25 percent solution is (0.6+0.3x) liters.

Total volume of the solution is (x+4) liters

(x+4) liters of 25 percent solution contains:

(25/100)×(x+4) liters =(0.25x+1) liters

Now we can equate both values to calculate the value of x from a linear equation:

(0.6+0.3x)=(0.25x+1)

or, 0.05x=1-0.6

or, x= 8 liters

Hence 8 liters or 30 percent solution was mixed.

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Answer:

Volume is when you are finding the space inside of a 3D figure, and surface area is when you are finding the area of the surface(s) of a figure.

Hope this helps :)

Answer:

Step-by-step explanation:

a. 55% of the maximum weight is 33 pounds.

b. 114 pounds is 190% of the weight limit.

c. 57 pounds is 95% of the maximum.

Answer to Part a:

Let c be the weight limit percentage for 33 pounds.

Then we have (60 x c)/100 = 33 pounds

This implies 3c/5 = 33

This means that 3c = 33 x 5 = 165.

This means that c = 165 / 3 = 55.

Therefore 55% of the weight limit is 33 pounds.

Answer to Part b:

Let d be the weight limit percentage for 114 pounds.

Then we have (60 x d)/100 = 114 pounds

This implies 3d/5 = 114

This means that 3d = 114 x 5 = 570.

This means that d = 570 / 3 = 190.

Therefore 190% of the weight limit is 114 pounds.

Answer to Part c:

95% of the weight limit is

= 95 x 60 /100

= 95 x 3/5

= 19 x 3

= 57

Therefore, 95% of the weight limit is 57 pounds.

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Answer:

[tex](x + 21)(3x + 9) \\ x(3x + 9) + 21(3x + 9) \\ 3 {x}^{2} + 9x + 63x + 189 \\ 3 {x}^{2} + 72x + 189[/tex]

Answer:

47

Step-by-step explanation:

22+25=47

Hope this helps.

Answer:

Step-by-step explanation:

If the box has 22 white and 25 black, you would add 22 and 25 to find the total amount

22+25= 47

There are 47 balls in the box

Hope this helps! ^^

Answer:

D

Step-by-step explanation:

Answer:

=-2

________________________________________________________

[tex]a-\left(-b\right)=a+b[/tex] <- Apply this rule too -14-(-12)
[tex]-14-\left(-12\right)=-14+12[/tex]
[tex]=-14+12[/tex]
[tex]-14+12=-2[/tex] <- Add the numbers
[tex]=-2[/tex]
________________________________________________________
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Answer:

======================

A) Actual velocity is found as the sum of two vectors representing the two velocities.

Since the directions are at 90° (N and E), we will use Pythagorean to find the actual velocity.

b) Let the direction the ship sails in is x. Use trigonometry to find the angle from the North:

The factorized form of the quadratic is 2*(x + 2)*(x + 4), and when x = 3m, the walkway area is 52 square meters.

Here we know that the area is given by the expression:

2x^2 + 12x + 16

To factorize this, we need to find the roots of the quadratic equation, these are the solutions of:

2*x^2 + 12x + 16 = 0

The solutions are given by:

x = (-12 ± √(12^2 - 4*2*16))/(2*2)

x =  (-12 ± 4)/4

The two solutions are:

x = (-12 + 4)/4 = -2

x = (-12 - 4)/4 = -4

Then the factored form is:

y = 2x^2 + 12x + 16 = 2*(x^2 + 6x + 8) = 2*(x + 2)*(x + 4)

Now we want to get the area if the walkway if x = 3, the total area of the walkway and the garden will be:

y = 2*(3 + 2)*(3 + 4) = 70

And the garden measures x by 2x, then if x = 3, the area of the garden is:

a = x*2x = 3*(2*3) = 18

Then the area of the walkway alone is:

70 - 18 = 52

The area of the walkway is 52 square meters.

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Answer: x=21

Step-by-step explanation:

Plotting the inequalities using online graphing calculator. The graph is attached.

What is the example of inequality?

Given the system of inequalities:

3y > 2x + 12

3y - 2x > 12   (1)

2x + y < -5    (2)

Plotting the inequalities using  online graphing calculator. The graph is attached.

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Product Evaluation Rating for Brand A = 7.5

Product Evaluation Rating for Brand B = 7.4

Product Evaluation Rating for Brand C = 8.3

A product's acceptability for customers or a specific group is determined through the methodical process of product evaluation.

A visual representation of consumer behavior in terms of purchasing choices is a consumer buyer matrix. It also serves as a marketing tool for strengthening and expanding brands.

Given that :

Product Attributes -

Probability = 0.2

Sound projection = 0.5

Warranty = 0.3

Probability of Brand A = 7

Probability of Brand B = 10

Probability of Brand C = 6

Sound projection of Brand A = 8

Sound projection of Brand B = 6

Sound projection of Brand C = 10

Warranty of Brand A = 7

Warranty of Brand B = 8

Warranty of Brand C = 7

Calculation of Product Evaluation Rating :

Brand A = (7 x 0.2) + (8 x 0.5) + (7 x 0.3) = 1.4 + 4 + 2.1 = 7.5

Brand B = (10 x 0.2) + (6 x 0.5) + (8 x 0.3) = 2 + 3 + 2.4 = 7.4

Brand C = (6 x 0.2) + (10 x 0.5) + (7 x 0.3) = 1.2 + 5 + 2.1 = 8.3

Therefore,

Product Evaluation Rating for Brand A = 7.5

Product Evaluation Rating for Brand B = 7.4

Product Evaluation Rating for Brand C = 8.3

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The perimeter of the right angled triangle is 24 units.

The perimeter is defined as the sum of all sides of a polygon. To calculate the perimeter of a triangle we add the length of all the 3 sides of the triangle.

The given side lengths are 6 and 8 units.

We know from Pythagorean theorem that for a right angled triangle the sum of the squares of the legs is equal to the square of the hypotenuse of the triangle.

Hypotenuse is the longest side in a right angled triangle.

Therefore the hypotenuse in this triangle is given by:

Hypotenuse² = 6² + 8²

or, hypotenuse = √(36 + 48) units

or, hypotenuse =√100

or, hypotenuse= 10 units

Now perimeter = (6 + 8 + 10) units = 24 units.

Hence the perimeter of the given right angled triangle is 24 units.

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Answer:

Y = 7/{3^(x+1)}

The number 7 is constant in the relation

The denominator is increasingly exponentially with the number 3 as i

The value of a is 2.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment FG, where the length of line segment FG refers to the distance between its endpoints, F and G.

Given that M is the midpoint of FG

FG = 14a + 1 and  FM = 14.5

FG = FM + MG

Since M is the midpoint of FG, So FM = MG

FG = FM + FM

FG = 2FM

Substitute the values of FG = 14a + 1 and  FM = 14.5,

14a + 1 = 2(14.5)

14a + 1 = 29

14a = 28

a = 28/14

a = 2

Therefore, the value of a is 2.

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Your question was incomplete. Please refer the content below:

Suppose M is the midpoint of FG. Find the missing measure.

FG = 14a + 1. FM = 14.5

Answer A=?

Answer:

336/34

Step-by-step explanation:

Answer:

6 cups

Step-by-step explanation:

cuz im smart :)

Answer:

-9

Step-by-step explanation:

This equation is written in slope intercept form, so This will make it easier.

We can find the slope of the line by plotting the equation, or using the equation itself.

y = mx + b is the slope-intercept form, where m is the slope

this means that the slope is -9

Hope this helps! ^^

Answer:

y = 3x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation of the parallel line

to find c substitute (1, 12 ) into the partial equation

12 = 3 + c ⇒ c = 12 - 3 = 9

y = 3x + 9 ← equation of parallel line

For the given parallel ines cut by a transversal line the correct statement is (4). ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.

The intersections of two parallel lines formed by a transversal form several angles. These are referred to as transversal angles. Here are some examples of transversal angles:

Angles are said to be supplementary to each other when two adjacent angles are formed at a point on a line so that the sum of their measures is 180°.

∠7 and ∠8 are supplementary in the attached figure since they represent a pair of adjacent angles which constitute a straight line.

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The correct question:

Please Help! The figure below shows parallel lines cut by a transversal:

Which statement is true about ∠7 and ∠8?

1. ∠7 and ∠8 are supplementary because they are a pair of corresponding angles.

2. ∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.

3. ∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.

4. ∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.

Answer:

The factor which is used to convert feet per minute into miles per minute is:

1 ft per minute=0.000189 miles per minute.

( since, 1 ft.= 0.000189 miles )

Step-by-step explanation:

Conversion factor--

A conversion factor is a factor which is used to convert one unit to another by multiplication or division by a specified number.

We know that:

1 miles= 5280 ft.

This means that:

1 ft.=1/5280 miles

i.e. 1 ft.= 0.000189 miles.

Hence, 1 ft per minute=0.000189 miles per minute.

Account Y would earn Monica about $62.70 more interest than account X.

Given Monica deposits $3000.

Bank offers two different savings accounts.

Account X pays 2.1% simple annual interest and Account Y pays 2.4% compounded annually, both for 5 years.

For account X, we have:

Principal (P) = $3000

time (t) = 5 years

rate of interest (r) = 2.1%

we need to calculate simple interest:

Simple interest = P×t×r/100

= 3000c5×2.1/100

= $315

simple interest for 5 years is $315

For account Y, we have:

Principal (P) = $3000

time (t) = 5 years

rate of interest (r) = 2.4%

we need to calculate Compound interest:

compound interest = P×(1₊rate)^time ₋ P

= 3000(1₊2.4/100)⁵ ₋ 3000

= 3000(1.024)⁵ ₋ 3000

= 3000(1.12589907) ₋ 3000

= 3377.69 ₋ 3000

= $377.69

The compound interest for 5 years is $377.7

compound interest of account Y ₋ simple interest of account X

= 377.7 ₋ 315

= $62.70

hence the right option is that account Y would earn Monica about $62.70 more interest than account X.

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Your question is incomplete.Please find the missing content below.

Monica wants to open a savings account with a deposit of $3000. Monica will not make any additional deposits or withdrawals after she opens the account. Her bank offers two different savings accounts. Account X pays 2.1% simple annual interest. Account Y pays 2.4% interest compounded annually. Which statement about these accounts at the end of 5 years is true?

Account X would earn Monica about $62.70 more interest than Account Y.

Account Y would earn Monica about $62.70 more interest than Account X.

Account X would earn Monica about $45.00 more interest than Account Y.

Account Y would earn Monica about $45.00 more interest than Account X.

The given function for peanuts is continuous function.

A continuous function, as the name implies, refers to one for whom the graph is continuous without a breaks or jumps.

For the given expression in the question;

The relation between the cost 'c' and wight 'p' in pounds for the peanuts is given as;

c = 1.5p

As, you can see that the expression is a polynomial having two variables with the highest degree 1.

And, as we know that the every polynomial is a continuous function.

The given function forms a straight line on as for every different real value of p there s single value of c, which varies linearly.

Therefore, the function c = 1.5p is a continuous function forming a straight line.

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Answer: a. -5

b. 4

c. -2

Step-by-step explanation:

a. x=-3 ==> x<0

f(-3)=

3(-3)+4=

-9+4=-5

b. x=3 ==> x>=0

f(3)=

2(3)-2=

6-2=4

c. x=0 ==> x>=0

f(0)=

2(0)-2=

0-2=-2

Answer:

Area = 105 square feet

Hope this helps :)

Step-by-step explanation:

Formula for Area of a Rectangle: l × w = Area

1. To find the area, multiply 21 and 5.

21 × 5 = 105

Area = 105 square feet