the sum of a number times 4 and 21 is greater than or equal to 24. use the variable w for the unknown number

Answers

Answer 1

4w + 21 >= 24
4w >= 24 - 21
4w >= 3
w >= 3/4
w >= 0.75

Related Questions

two attendants earn $6240 and $6220 per annum, respectively, exclusive of a bonus of $2640 per annum.
if both have a pension deduction of 20%,the difference in the pension deduction of the two attendants on a semimonthly basis is..........?

Answers

The difference in annual earnings is $6240 -6220 = $20. 20% of that is $4. There are 24 semi-months in a year, so the difference in amount deducted is about
.. $4/24 = $(1/6) ≈ $0.17

If the payroll department is paying attention, the difference in deducted amounts will be $0.16 2/3 over the year. Some paychecks, it will be $0.16, and others it will be $0.17.

What are three rational numbers between 0.2 and 0.3 (one must be a fraction)?

Answers

it would be 2/5 but the numbers between is 2/10 and 3/10

The answer will be 0.6 Hopes this helps. :)

6TH GRADE MATH
someone please solve this

Answers

Since the amount of money earned is based of of the amount of pies he sells...

y = 14x

Hope this helps!

It would be set up like this:

x14=y or x times 14 = y

Its hard to type out due to X being the number of pies sold and x being used as the multiplication symbol.

But I hope this help!

A spider ate 25% more bugs this month than last month. The spider ate 8 bugs last month. How many bugs did the spider eat this month

Answers

To answer this question you will utilize your reading skills and knowledge of how to compute with percents. You need to read carefully and see that we need to find out what 25% of last months number of bugs is. Using math we will convert 25% into an number we can calculate with (either a decimal or a fractions). I like fractions in this case because 1/4 can be easily multiplied by 8. You may also multiple 0.25 times 8 if you prefer decimal calculations. Either way, the answer is 2. This is how many more bugs the spider ate, so to find the total for this month we add 8 and 2 to get 10 bugs.

Answer: 10 bugs.

Step-by-step explanation:

Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation of a common external tangent to the circles can be written in the form y=mx+b with m < 0. What is b?

Answers

b=30/7 and 80/7

hope this helps<3

How do I graph this ?

Answers

You you put the x section in the x axis and the y section in the y axis. So the straight line going across is the x axis and the line going up and down is the y axis. So for your first and (-5,2) you look for negative 5 on the x axis and 2 on the y axis since the x axis will always go first. Then you would put the dot where the numbers line meet. There’s your answer

Here you go! Hope this helps!!

The kinetic energy K (in joules) of a falling apple is represented by K=v squared divided by 2 where v is the speed of the apple (in meters per second). How fast is the apple traveling when the kinetic energy is 32 joules?

Answers

do subsitution

energy (k)=32

so
32=(1/2)v^2
(I'm pretty sure it is K=(1/2)mv^2, but ok)
times 2 both sides
64=v^2
sqrt both sides
8=v

8m/s is velocity

Answer:

8 meters per second

Step-by-step explanation:

Hi, to answer this question we simply have to substitute k=32 in the formula given and solve for v.

K= (v ^ 2) /2

Substituting K=32

32 = (v ^ 2) /2

Solving for v:

32x2= v ^ 2

64 =v ^ 2

√64 =v

8 =v

v= 8 meters per second

When the kinetic energy is 32 joules, the apple is traveling at a speed of 8 m/s.

Feel free to ask for more if needed or if you did not understand something.

Need help with 3 and 4.

Answers

A) Problem 3

Answer: third option 11.5

Explanation:

1) Since this is a right triangle you can use the trigonometric ratios.

2) sin (α) = opposite-leg / hypotenuse

3) α = 35°; opposite-lge = x; hypotenuse = 20.

4) substitute values

sin(35°) = x / 20

5) Solve for x

x = 20 * sin (35°) = 11.47

6) Round to the nearest tenth: 11.5

Answer: third option 11.5

B) Problem 4

Answer: first option 8.3

Explanation:

1) Since it is a right triangle you can use trigonometric ratios

2) cos (α) = adjacent - leg / hypotenuse

3) α = 41°; adjacent - leg = x; hypotenuse = 11

4) Substitute values

cos (41°) = x / 11

5) Solve for x: x = 11 * cos (41°) = 8.30

6) Round to the nearest tenth: x = 8.3

Answer: 8.3

The graph below shows a line segment PQ:

Graph of line segment PQ with endpoints at negative 2 comma 1 and 4 comma 4

What is the slope of the line segment PQ?

−2
−1 over 2
1 over 2
2

Answers

The slope is the difference of y coordinates divided by the difference of x coordinates.
.. (1 -4)/(-2-4) = -3/-6 = 1/2

The 3rd selection is appropriate.

morris rarely arrives home before 4:00 p.m. it is now 3:20 p.m. estimate the probability that morris will arrive home in the next 30 minutes

Answers

the answer is 1/60 or one out of 60

y-2y8y-6 is equivalent to:

Answers

the answer should be 1

is the following growth or decay? f(x)= 3(0.4)^x

Answers

the graph is a decay

What must be done before adding or subtracting fractions

Answers

any type of symbol is what need to be answered first

Find a common denominator.

Example: ¹⁄₂ + ²⁄₃

¹⁄₂(³⁄₃) + ²⁄₃(²⁄₂) (Let’s make it six)

³⁄₆ + ⁴⁄₆ = ⁷⁄₆ (Add now)

Here is a geometrical explanation for it. Imagine you have two pizzas. One pizza is bigger than the other. Both pizzas are cut into 8 equal slices. Is one of slice from the big pizza the same as one slice from the little pizza? Nope. The slice from the little pizza is smaller than the one from the big pizza. This is why you need a common denominator. One slice of the bigger pizza is not equal to one slice of the smaller pizza.

I hope this helps! Don’t hesitate to message me if you have any questions!

Please help me I don't know this

Answers

Hey there! :D

Just plug in the values of x.

y= 1/2(-5)-2

y= -2.5-2

y=-4.5

First point: (-5, -4.5)

y= 1/2(-2)-2

y=-1-2

y=-3

Second point: (-2, -3)

y= 1/2(1)-2

y =.5-2

y=-1.5

Third point: (1,-1.5)

y= 1/2(3)-2

y= 1.5-2

y=-.5

Fourth point: (3, -0.5)

y= 1/2(6)-2

y=3-2

y=1

Fifth point: (6,1)

I hope this helps!
~kaikers

Bill pays $49 for an item after it has been discounted 30%. What was the original price of the item?

Answers

If an item has been discounted 30%, then it is currently worth 70% of the original price. This tells us that $49 is 70% of the original price. Therefore, you need to divide $49 by 70% to get your answer (you have to work backwards; remember that you would have multiplied the original number by 0.7 to get 49):
49÷(70/100)= $70
Therefore, the price of the original product was $70

2. PB and J Array Ken has made a selection of square jam sandwiches for party, which he arranges in a single layer on the table in perfect rectangle. Sarah has brought along the same number of square peanut butter sandwiches, which she puts out, also as a single layer, to form a border vA (one sandwich wide) around Ken's Given that all of the sandwiches are the same size and they are all used, how many sandwiches could each person possibly have made?

Answers

perimetre + 4 = area
Each person must have made 24 sandwiches.

Let's assume Ken arranged his sandwiches in a rectangular shape with length 'L' and width 'W'. Now Sarah arranged her sandwiches to form a border around Ken's rectangle. The solution diagram is attached below.

Ken needs as much sandwiches as area of rectangle i.e. number of Ken's sandwiches would be = LW.

It is clear that Sarah needs as much sandwiches as perimeter of rectangle and extra four sandwiches to put on corners. It means number of Sarah's sandwiches would be = 2·(L+W) + 4.

Given that all of the sandwiches are the same size and they are all used.

Ken and Sarah bought same number of sandwiches. So we need to solve the following equation :-

Number of Ken's sandwiches = Number of Sarah's sandwiches

LW = 2·(L+W) + 4

Using trial and error approach, we get 6 x 4 = 2 x (6 + 4) + 4.

So number of Ken's sandwiches would be LW = 6 x 4 = 24 sandwiches.

Hence, final answer is "Each person could have 24 sandwiches".

Gracie read 150 pages of a book she got for her birthday the book is 227 pages long whats the right equation

Answers

Are there options or when is her birthday what is the rest of the problem

Dave walked a distance of 40 meters to the north. It took him 50 seconds. What was his velocity?

A. 1.25 m/s north
B. 5 m/s north
C. 4 m/s north
D. 0.8 m/s north

Answers

0.8m/s north because 40 divided by 50 equals 0.8 so your answer is 0.8

graph the line whose x-intercept is -8 and whose y-intercept is 9

Answers

In intercept form, the equation of the line is
.. x/-8 +y/9 = 1

The graph of the line whose y intercept is 8 and whose x intercept is 9 is given below.

What are intercepts?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Given:

An intercept form of the standard line is,

x/a + y/b = 1, where a and b are x-intercept and y-intercept form of the line.

So, the equation is,

x/-8 + y/9 = 1

And the graph is given in the attached image.

Therefore, the graph is given.

To learn more about the intercepts;

https://brainly.com/question/14180189

#SPJ2

What do I put? I am having so much trouble with this.

Answers

12. [tex] \frac{3}{4} , \frac{9}{12} [/tex]

13. [tex] \frac{4}{10} , \frac{4}{100} [/tex]

16. [tex] \frac{3}{9} [/tex] is already in simplest form.

If a + 4b = 33 and 6a + 3b = 51, what is the value of a + b?

(I got 5 but it was wrong)

Answers

b = 7, a = 5. So a + b is 13.

Answer:

Step-by-step explanation:

Since the problem asks for $a+b$, we look for a way to isolate $a+b$ from the given equations.

Notice that $a + 6a = 7a$ and $4b + 3b = 7b$. This gives us the key to isolating $a + b$. We simply add the two equations together:\begin{align*}

7a + 7b &= 84 \\

7(a + b) &= 84 \\

a + b &= \frac{84}{7} \\

a + b &= \boxed{12}

\end{align*}

Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?
Select one:
A. 48 degrees
B. 148 degrees
C. 58 degrees
D. 68 degrees

Answers

Final answer:

Two angles are complementary if they add up to 90 degrees. If one angle measures 32 degrees, the other angle measures 58 degrees, which is found by subtracting 32 from 90.

Explanation:

The question is asking about complementary angles, which are two angles that add up to 90 degrees. If one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 degrees from 90 degrees since the two angles must sum to 90 degrees.

The calculation would be: 90 degrees - 32 degrees = 58 degrees.

Therefore, the measure of the second angle is 58 degrees, making the correct answer:

C. 58 degrees

Need help with 8 plz help me thx

Answers

Angel was trying to fit her new twin-size bed into her room. Her bed has 4 right angles, yet has 2 pairs of parallel sides. What shape is Angel's bed? (A rectangle)

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10

Answers

You can buy 5 cans with $10.

(did you see my pun?)

Hope this helps!

You can buy 5 cans with the $10

What is the effect if two parallel lines are rotated 90° clockwise? A)change'direction but remain parallel

B) change direction but are now perpendicular

C) no longer parallel because one line changed direction

D)no longer parallel because two lines changed direction (NEED HELP)

Answers

A) Change direction but remain parallel.

This is because they both rotate 90°, and they still are parallel because they were like they were before but turned sideways.

Answer:

Option: A is the correct answer.

A) change direction but remain parallel.

Step-by-step explanation:

We know that when same rigid transformation is applied to two lines which are parallel to each other ,then after rigid transformation they will behave the same i.e. same relationship hold between the two the only difference will be in their location.

Hence, when the both the parallel lines are rotated 90° clockwise then the direction of the line will change but they will remain parallel.

The perimeter of a rectangle is 80x. The base is two times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x; b = 10x
c.
h = 10.3x, b = 20.6x
b.
h = 13.3x; b = 26.6x
d.
h = 5x; b = 25x

Answers

By definition we have that the perimeter of a rectangle is given by:
P = 2b + 2h
Where,
b: base
h: height
Also, as a data of the problem we have:
base is two times the height:
b = 2h
Substituting we have:
P = 2 (2h) + 2h
Clearing h:
6h = P
h = P / 6
h = (80x) / 6
h = (40/3) x
The base will be
b = 2h
b = (80/3) x
Answer:
the dimensions of the rectangle are
b = (80/3) x
h = (40/3) x
b. h = 13.3x; b = 26.6x

Answer:
h = 13.3x; b = 26.6x

Explanation:
Perimeter of the rectangle = 2(base+height)
80x = 2(base+height)
base + height = 40x ........> I

Now, we are given that the base is 2 times the height, this means that:
base = 2*height ..........> II

Substitute with II in I:
base + height = 40x
2*height + height = 40x
3*height = 40x
height = 13.3x

Substitute with the height in equation II to get the base as follows:
base = 2*height
base = 2 * 13.3x = 26.6x

Hope this helps :)

Michael’s grandmother made two pies for Thanksgiving, a sweet potato pie and a chocolate pie. Each pie had 8 slices. All of the sweet potato pie and 2 slices of the chocolate pie were eaten. How much pie did Michael’s family eat on Thanksgiving? A) 5 8 pie B) 10 16 pie C) 1 1 4 pies Eliminate D) 1 3 8 pies

Answers

Think it's B or A if they want it simplified.

Can someone help me please and thank you

Answers

Up, you add the number to the given equation; down, you subtract. To change the steepness, multiply x by the factor involved.

A) y = 3x -10

B) y = (1/2)x +4

C) y = x -1

Rick shared his bag of grapes with his friends. He gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan. What fraction of the bag of grapes does Rick have left?

Answers

Final answer:

After giving away 2/10 of his grapes to Melissa and 4/10 to Ryan, Rick has 4/10 of his bag of grapes left.

Explanation:

Rick gave away part of his bag of grapes to his friends: 2/10 to Melissa and 4/10 to Ryan. To find out what fraction of the bag he has left, we need to add together the fractions that he gave away and then subtract this from the whole bag, which is represented by the fraction 1 (or 10/10).

Rick gave away:
Melissa: 2/10
Ryan: 4/10
Total given away: 2/10 + 4/10 = 6/10

Fraction of the bag Rick has left:
1 (or 10/10) - 6/10 = 4/10

Therefore, Rick has 4/10 of the bag of grapes left after sharing with his friends.

Final answer:

To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1. Rick has 2/5 of the bag of grapes left.

Explanation:

To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1.

Given that Rick gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan, we can calculate the fraction of the bag he has left by subtracting these two fractions from 1:

1 - 2/10 - 4/10 = 1 - 6/10 = 4/10 = 2/5

Therefore, Rick has 2/5 of the bag of grapes left.

The base of a parallelogram is 10 inches the height is 2 inches more than half the base find the area

Answers

Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).

So height is h = 2 + (10 ÷ 2) = 2 + 5

⇒ h = 7 inches.

We know the formula for area of parallelogram is given as follows :-

Area of parallelogram = base x height

Area of parallelogram = 10 inches x 7 inches

Area of parallelogram = 70 squared inches.

Hence, the final answer is 70 squared inches.

Final answer:

To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.

Explanation:

To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.

Using the formula for the area of a parallelogram (base × height), we can now calculate the area.

Area = 10 inches × 7 inches = 70 square inches.

Thus, the area of the parallelogram is 70 square inches.

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