Solve the proportion.

W+14/4w+6 =3/4

Answers

Answer 1

[tex]\frac{w+14}{4w+6} = \frac{3}{4}[/tex]

So do cross multiplication.

4×(w+14)=4w+56

3×(4w+6)=12w+18

4w+56=12w+18

Carry the 4w to the right side, and the 18 to the left

56-18=12w-4w

38=8w

w=4 3/4

Sorry if this is not what you were asking for.

♡  But anyways, I Hope this helped! ♡

❀ 0ranges ❀

Answer 2

Answer:

[tex] \boxed{ \boxed{ \bold{ \purple{4.75}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{w + 14}{4w + 6} = \frac{3}{4} }[/tex]

Apply cross product property

⇒[tex] \sf{4(w + 14) = 3(4w + 6) }[/tex]

Distribute 4 through the parentheses

Similarly, Distribute 3 through the parentheses

⇒[tex] \sf{4w + 56 = 12w + 18}[/tex]

Move variable to left hand side and change it's sign

Move constant to right hand side and change it's sign

⇒[tex] \sf{4w - 12w = 18 - 56}[/tex]

Collect like terms

⇒[tex] \sf{ - 8w = 18 - 56}[/tex]

Calculate

⇒[tex] \sf{ - 8w = - 38}[/tex]

Divide both sides of the equation by -8

⇒[tex] \sf{ \frac{ - 8w}{ - 8} = \frac{ - 38}{ - 8} }[/tex]

Calculate

⇒[tex] \sf{w = 4.75}[/tex]

Hope I helped!

Best regards!!


Related Questions

please help me solve this problem!

Answers

Answer:

X=12

Step-by-step explanation:

According to the similarity theory of triangles

One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon? A. 930° B. 1240° C. 1440° D. 1800°

Answers

Answer:

The answer would be c. 1440

Step-by-step explanation:

one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440

Look at the triangle ABC. What is the length of the side AB of the triangle? A.) 3 B.) 5 C.) Square root of 6 D.) Square root of 13

Answers

Answer:

The answer is option D

Step-by-step explanation:

To find the length of AB we use the formula

[tex] \sqrt{ ({x _{1} - x_{2}})^{2} + ({y_{1} - y_{2} })^{2} } [/tex]

Where

(x1 , y1) and (x2 , y2) are the points

From the question

A is (4 , 5) B is (2 , 2)

So the length of AB is

[tex] |AB| = \sqrt{ ({4 - 2})^{2} + ({5 - 2})^{2} } [/tex]

[tex] |AB| = \sqrt{ {2}^{2} + {3}^{2} } [/tex]

[tex] |AB| = \sqrt{4 + 9} [/tex]

We have the final answer as

[tex] |AB| = \sqrt{13} [/tex]

Hope this helps you

Answer:

sqrt(13) = c

Step-by-step explanation:

The length of BC = 4-2 =2

The length of AC = 5-2 =3

We can use the Pythagorean theorem

a^2 + b^2 = c^2

2^2 + 3^2 = c^2

4+9 = c^2

13 =c^2

Take the square root of each side

sqrt(13) = c

On a map, 1/4 inch between locations represents an actual distance of 2 miles between the locations. What is the actual distance, in miles, between the two cities that are 3 3/4 inches apart on the map?

Answers

Answer:

30 miles

Step-by-step explanation:

1/4 = 2

3  3/4 = x

15/4 = x

So, Cross multiply

=> 1/4 * x = 15/4 * 2

=> 1/4x = 15/4 * 4/2

=> 1/4x = 60/8

=> 1/4x = 7.5

=> 1/4x * 4 = 7.5 * 4

=> x = 30

So, 15/4 inches on the map equals 30 miles.

A solid oblique pyramid has a regular hexagonal base with an area of 54StartRoot 3 EndRoot cm2 and an edge length of 6 cm. Angle BAC measures 60°. A solid oblique pyramid has a regular hexagonal base with an area of 54 StartRoot 3 EndRoot centimeters squared and an edge length of 6 centimeters. Point B is the apex and point A is the center of the hexagon. Point C is a corner of the hexagon. Triangle A B C is formed. Angle A is 60 degrees and angle C is 90 degrees. What is the volume of the pyramid? 72StartRoot 3 EndRoot cm3 108StartRoot 3 EndRoot cm3 324 cm3 486 cm3

Answers

Answer: C. 324 cm∧3

Just took quiz.

Based on the calculations, the volume of this pyramid is equal to: D. 324 cm³.

Given the following data:

Base area = 54√3 cm².Edge length = 6 centimeters.Angle BAC = 60°.

How to calculate the volume of a pyramid?

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

Next, we would find the height of this pyramid from the right-angled triangle ABC by applying Tan trigonometry formula:

Tanθ = Opp/Adj = BC/AC

Tan60 = height/6

√3 = height/6

Height = 6√3 cm.

Now, we can calculate the volume of this pyramid:

Volume = 1/3 × base area × height

Volume = 1/3 × 54√3 × 6√3

Volume = 1/3 × 972

Volume = 324 cm³.

Read more on pyramid here: brainly.com/question/16315790

#SPJ2

Rice weighing 3¾ pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?​

Answers

Answer:

15/16

Step-by-step explanation:

3 3/4 divided by 4 = 15/16

f=d+e+f i need help solving this i have to solve for f

Answers

Answer:

You can't solve for f since f is eliminated from the equation.

Step-by-step explanation:

f = d + e + f

Subtract f from both sides.

0 = d + e

You can't solve for f since f is eliminated from the equation.

Write the sentence as an equation.
292 decreased by p is the same as 27
Type a slash (/)if you want to use a division sign.

Answers

282-p=27

I’m not sure if this is what you meant

|5+9-15)|= simplify the expression

Answers

Answer:

1

Step-by-step explanation:

please help to be marked brainliest number is 13

Answers

Answer:

C. 7500

Step-by-step explanation:

We must simply find out what 25% of 30,000 is.

Multiply .25 by 30,000 which equals 7,500

Answer:

7500

Step-by-step explanation:

Max bought two deli sandwich rolls measuring 18 inches and 30 inches. He want them to be cut in equal sections that are as long as possible. Into what lengths should the rolls be cut?

Answers

Answer:  Into 6 inches

Step-by-step explanation:

In this situation, the problem will be to find the greatest common factor of 18 and 30 because that is how you could divide them.

The GCF of 18 is   1,2,3,6,9, and 18

The GCF of 30  is 1,2,3,5,6,10,15 and 30  

The greatest possible factor of both numbers is 6

which function is shown on the following graph

Answers

Answer:

question is incomplete.

Step-by-step explanation:

Mike jogged 6 laps around a 0.25-mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined?

Answers

Answer:

3.25 miles

Step-by-step explanation:

Combine the total laps by doing 6 + 7 to get 13. Then, multiple 13 by 0.25 to get your sum of 3.25 miles.

what is the approximate side length of a square game board with and area of 188 in. squared.

Answers

Answer:

Side length of a square game board is  

11.916

inches.

Explanation:

If the area is  

142

 

2

, as area is square of side length of a square,

Side length is  

142

=

11.916

inches.

Step-by-step explanation:

Answer:

13.7 inches

Step-by-step explanation

Area = base*height

(since it's a square, the lengths of all four sides of the board are equal. therefore, we can write the equation above like the following)

Area of square = side length^2

(square root both sides of the equation, and you get the following)

[tex]\sqrt{Area\\}[/tex] = side length

(now, substitute the info)

[tex]\sqrt{188\\}[/tex] = x

(solve)

x = 13.7 inches

Earl needs to fill juice cups for his little brother's birthday party. There are 25 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Earl need to purchase? (2 points) (1 quart = 32 fluid ounces, 1 gallon = 4 quarts) 1 bottle 2 bottles 3 bottles 4 bottles

Answers

Answer:

3 bottles

Step-by-step explanation:

Hello!

First, we find out how many fluid ounces 25 cups of juice hold.

One cup holds 12 fluid ounces so to find 25 we do

25 * 12 = 300 fluid ounces

Next, we find out how many fluid ounces one gallon holds.

One gallon is 4 quarts.

1 quart is 32 fluid ounces so to find how many 4 holds we do

32 * 4 = 128

So one gallon holds 128 fluid ounces

To find how many we need we divide the total needed by how much one bottle holds

300/128 = 2.34

You can't buy exactly 2.34 bottles of juice so we round up to the nearest whole number we will just have extra leftover

The answer is 3 bottles

Hope this helps!

what is x equal to? please answer asap. thanks!

Answers

Answer:

[tex]\Huge \boxed{{x=56\°}}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Create an equation.

64 + x + 60 = 180

Solve for x.

Add the numbers.

x + 124 = 180

Subtract 124 from both sides.

x + 124 - 124 = 180 - 124

x = 56

Answer:

56°

Step-by-step explanation:

64 + 60 = 124180 - 124 = 56

Why?

We did 64 + 60 because they are the two degrees that is given to us, and those two added with x will give us 180.When we add 64 and 60 together, we get 124. We then subtract that total from the total of the three angles to give us the remaining angle., which is 56.

Therefore, x is 56°

Please Help ! Will give brainliest

Answers

Answer:

There is a probability of 0 that the student plays both string and brass.

Step-by-step explanation:

Looking at the universal set, there are 40 students at this high school, 15 of which play string, 20 play brass, and 5 play neither (probably drummers).  Note how there is no intersection of A and B, which is the probability we are looking for.

Since there is no intersection in the universal set between subset A and subset B, you can say that there is a probability of 0 since there is no overlap between the two subsets.

Cheers.


fives times a number and the difference of 6

Answers

Answer: The equation that has resulted from this is 5x - 6.

Step-by-step explanation:

So far, we know that the givens are:

fives times a number and the difference of 6

Then, we can conclude that the term "a number" means an unknown term, so all we have to do is put a variable in its place. It can be k, s, h, z, x, etc. Next, just find the difference of 6. So, from what we know, this is what our new equation looks like:

5 times ( a number) - the difference of 6

In math form:

5 (x) - 6

Simplify:

5x - 6

Hence the answer!

Solve the equation 58 - 10x ≤ 20 + 9x

Answers

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

[tex]58-10x\leq20+9x[/tex]

Then, add [tex]10x[/tex] to both sides:

[tex]58-10x+10x\leq20+9x+10x\\58\leq20+19x[/tex]

Next, subtract [tex]20[/tex] from both sides:

[tex]58-20\leq20-20+19x\\38\leq19x[/tex]

Finally, divide both sides by [tex]19[/tex]:

[tex]\frac{38}{19}\leq\frac{19x}{19}\\2\leq x[/tex]

or

[tex]x\geq 2[/tex]

Therefore: the answer to this inequality/equation is: x≥2

Which expression is equivalent to √-60? A) -2√15 B) -4√15 C) 4i√15 D) 2i√15

Answers

Answer:

d) 2i√15

Step-by-step explanation:

60/4 is 15 so you can take out the square of 2 and the -

The four angles in a quadrilateral are in the ratio 2:5:6:7. Find the smallest angle in the quadrilateral?

Answers

Answer:

36º

Step-by-step explanation:

Since all the angles are in a ratio, and all angles add up to 360º, we can set up a simple equation to find the smallest angle.

2x + 5x + 6x + 7x = 360

20x = 360

x = 18

18 is NOT the answer since the smallest angle has a ratio number of 2. So we multiply 18 with 2 to get 36º.

If you would like more help with math or other subjects for FREE, check out growthinyouth.org.

Answer:

36

Step-by-step explanation:

The four angles of a quadrilateral add to 360

2:5:6:7

Multiply by x

2x:5x:6x:7x

Add them together to get 360

2x+5x+6x+7x = 360

20x = 360

Divide each side by 20

20x/20 = 360/20

x =18

The smallest angle is 2x

2*18 = 36

Graph the inverse of the provided graph on the accompanying set of axes. You must
plot at least 5 points.

Answers

Answer:

*See attached image for the 5 points on the graph*

Step-by-step explanation:

Step 1: Find 5 points to calculate inverse

We can use the vertex(-1,-4), 2 y-intercepts(0,-3) and (0,-5) and 2 more points (3,-2) and (3,-6)

Step 2: Find the inverse

You find the inverse when you swap the 'x' and 'y' so it would be

Vertex: (-4,-1)

y-intercept 1:(-3,0)

y-intercept 2:(-5,0)

Point 1: (-2,3)

Point 2: (-6,3)

Step 3: Graph

Graph the points on a graph and connect the points

The inverse of a graph is done by reflecting the graph across the line [tex]y = x[/tex].

See attachment for the inverse graph.

From the given graph, we have the following 5 points.

[tex](x_1,y_1) = (8,-1)[/tex]

[tex](x_2,y_2) = (3,-2)[/tex]

[tex](x_3,y_3) = (-1,-4)[/tex]

[tex](x_4,y_4) = (3,-6)[/tex]

[tex](x_5,y_5) = (8,-7)[/tex]

Reflect the above points across [tex]y = x[/tex], to get the inverse function

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (-2,3)[/tex]

[tex](x_3,y_3) = (-4,-1)[/tex]

[tex](x_4,y_4) = (-6,3)[/tex]

[tex](x_5,y_5) = (-7,8)[/tex]

The inverse graph must pass through the above points

See attachment for the inverse graph

Read more about inverse graphs at:

https://brainly.com/question/11033643

what are the next 2 terms in the sequence? 1,4,13,40,121​

Answers

Answer:

364, 1093

Step-by-step explanation:

Write the slope intercept form of the equation for the line.

Answers

Answer:

y = 2x -1

Step-by-step explanation:

y = mx + b

On the y-axis which is the vertical line, it touches the line is on -1.

Therefore, -1 is the y-intercept which is b.

y = mx - 1

Now the slope since it goes up 2 and right one to reach a point again the slope is 2/1 which basically just 2.

Now y = 2x - 1

Round 15.97 to the nearest tenth,

Answers

Answer:

20

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Brainliest please!!!

The first two terms of an arithmetic progression are 27 and 24 respectively. How many terms of the progression are to be added to get - 30?

Answers

Answer:

20 terms

Step-by-step explanation:

Given AP with the first two terms:

a₁= 27 and a₂=24

Common difference:

d= 24-27 = -3

To find

n for which Sₙ= -30SolutionSₙ = 1/2*n*(a₁+aₙ) = 1/2n(a₁+a₁+(n-1)d) =1/2n(27+27+(n-1)(-3))= 1/2n(54 - 3n + 3) = 1/2n(57 - 3n)

Since Sₙ = -30

1/2n(57 - 3n) = -3057n - 3n² = -6019n - n²- 20 = 0n² -19 n -20= 0

Solving the quadratic equation we get:

n =20

So the sum of 20 terms will add up - 30

Find the measure of KM¯¯¯¯¯¯¯¯¯¯. A. 9 B. 10 C. 14 D. 12

Answers

Answer:

B. 10

Step-by-step explanation:

By the property of intersecting secants outside of a circle:

MN*MA = ML*MK

(x - 4) (x - 4 + 3) = (x - 5) (x - 5 + 6)

(x - 4) (x - 1) = (x - 5) (x + 1)

[tex] x^2 - 5x + 4= x^2 - 4x - 5[/tex]

[tex] - 5x + 4= - 4x - 5[/tex]

[tex] 5 + 4= 5x - 4x [/tex]

[tex] 9 = x [/tex]

KM = x - 5 + 6 = 9 - 5 + 6 = 10

A scientist is conducting a study on the effect of eating chocolate and overall mood. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to consume either chocolate or a placebo and then rate their mood for the day. This experiment will run for two weeks. Which type of experimental design does this situation describe?
A. Randomized Block Design.
B. Matched-Pair Design.
C. Case-Control Design.
D. Completely Randomized Design.

Answers

Answer:

The correct option is;

A. Randomized block design

Step-by-step explanation:

A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.

In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.

3x to the power of 2 +6x=0 what is the degree of this polynomial?

Answers

Answer:

[tex]\huge\boxed{2}[/tex]

Step-by-step explanation:

Given Polynomial is:

[tex]3x^2 + 6x = 0[/tex]

Degree of polynomial is the highest power on the variable.

Here 2 is the highest power on the variable, So, it is the degree of polynomial.

A total solar eclipse in 2003 lasted 8 9/20 minutes and was viewed from the southern hemisphere. The next total solar eclipse in 2005 lasted 3 8/9 minutes and was viewed from the northern hemisphere. How much longer was the 2003 solar eclipse? The 2003 solar eclipse was minutes longer than the 2005 solar eclipse. (Simplify your answer. Type a whole number, proper fraction, or mixed number)​

Answers

Answer:

20 mins

Step-by-step explanation:

2003 17 2005 20

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