Party favors are on sale for $2.40 each. You have $380 to spend on the decorations and gifts, and you have already spent $270 on decorating. Write and solve an inequality to find the number of party favors you can buy.

Answers

Answer 1

270 + x is greater than or equal to 380

Answer 2

Hence, the number of party favors you can buy is $[tex]45[/tex].

What is inequality?

An inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Here given that,

Party favors are on sale for $[tex]2.40[/tex] each. You have $[tex]380[/tex] to spend on the decorations and gifts, and you have already spent $[tex]270[/tex] on decorating.

So,

[tex]380-270=[/tex] $[tex]110[/tex]

To find the number of party favors you can buy, we divide $[tex]110[/tex] by the favors that are on sale for $[tex]2.40[/tex] is

[tex]\frac{110}{2.40}[/tex] = $[tex]45[/tex]

Hence, the number of party favors we can buy is $[tex]45[/tex].

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Related Questions

Can someone please help me with this ?

Answers

Answer:

E. 2i√5

Step-by-step explanation:

√-20 = (√-1)(√20) = i·(2√5) = 2i√5

A scientist wants to find the radius, in meters, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 682 square meters. Which equation could he use to find the dome's radius?

Answers

Answer:

[tex]r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Step-by-step explanation:

we know that

The surface area of a sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

we have

[tex]SA=682\ m^{2}[/tex]

substitute and solve for r

[tex]682=4\pi r^{2}[/tex]

[tex]r^{2}=\frac{682}{4\pi} \\ \\r=\sqrt{\frac{682}{4\pi}}\ m[/tex]

Answer:

See below

Step-by-step explanation:

r^2=682 square meters ÷ 4π

which of the following values of x makes the rational expression below undefined? x-25/x+13
a. 13
b. 0
c. 25
d. -13

Answers

x-25 / x + 13
For this case what you should know is that an indefinite expression are those in which mathematically no numerical value can be obtained.
We have then that a division between zero causes an expression to be undefined.
For x = -13 we have:
(-13-25) / (- 13 + 13) = - 38/0 (undefined)
Answer:
x = -13
d. -13

Answer:

Option D

Step-by-step explanation:

We will check each option for the given expression (x-25)/(x+13)

(A). for x = 13

[tex](\frac{x-25}{x+13})=\frac{13-25}{13+13} =\frac{-12}{26}[/tex]

So expression is defined.

(B). for x = 0

[tex]\frac{x-25}{x+13}=\frac{0-25}{0+13} =(\frac{-25}{13})[/tex]

So expression is defined.

(C). For x = 25

[tex](\frac{x-25}{x+13})=\frac{25-25}{25+13} =0[/tex]

So expression is defined

(D). For x = -13

[tex]\frac{x-25}{x+13}=\frac{-13-25}{-13+13}=( \frac{-38}{0})[/tex]

Function is not defined.

Option D is the answer.

please translate 2 minus the product of a number and 9 is 20.

Answers

Hey there! :D

2 minus the product of a number and 9 is 20.

2-9n=20 <== equation

number=n minus= - (9 and n are next to each other, so that means they are being multiplied) It is equal to 20.

I hope this helps!
~kaikers

The statement '2 minus the product of a number and 9 is 20' translates to the equation 2 - 9x = 20. Solving for x, we find the solution x = -2, meaning the number in question is -2.

The student is asking to translate the phrase '2 minus the product of a number and 9 is 20' into a mathematical equation. The 'product of a number and 9' can be represented as '9x' where 'x' is the unknown number. Therefore, translating the entire phrase, we end up with the equation: 2 - 9x = 20.

To solve for 'x', we first bring '9x' to the other side of the equation by adding '9x' to both sides, resulting in 2 = 9x + 20. Subsequently, we subtract 20 from both sides, yielding -18 = 9x, and then we divide both sides by 9 to find the value of 'x'. So, x = -18 / 9, which simplifies to x = -2.

The solution for the equation is x = -2, which means the number we were looking for is -2.

3.1 Q15
An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 70°, it's height, f(x), in feet, can be modeled by:
[tex]f(x)=-0.06x^2 + 2.7x + 5.9[/tex]
where x is the shot's horizontal distance, in feet, from its point of release.

What is the maximum height of the shot and how far from it's point of release does this occur?

Answers

The maximum height of the shot is represented by the y-coordinate of the vertex, and the horizontal distance when the maximum height occurs is represented by the x-coordinate of the vertex.

Find x-coordinate of the vertex (horizontal distance)
The function above is in standard form of ax² + bx + c = 0
In standard form of ax² + bx + c = 0, we could find the x-coordinate of the vertex by the formula of
[tex]x= -\cfrac{b}{2a} [/tex]

Extract the information of a and b from the function f(x) = -0.06x² + 2.7x + 5.9
a = -0.06
b = 2.7

Input the value of a and b to the formula of x-coordinate of the vertex
x = [tex]-\dfrac{b}{2a} [/tex]
x = [tex]- \dfrac{2.7}{2 \times (-0.06) \\} [/tex]
x = [tex]- \dfrac{2.7}{-0.12} [/tex]
x = [tex] \dfrac{2.7}{0.12} [/tex]
x = 22.5
The x-coordinate represents the horizontal distance. So the maximum height occurs when the distance is 22.5 feet far from its point of release.

Find y-coordinate of the vertex (the maximum height)
To find the maximum height, input the value of x-coordinate of the vertex to the function.
f(x) = -0.06x² + 2.7x + 5.9
f(22.5) = -0.06(22.5)² + 2.7(22.5) + 5.9
f(22.5) = -0.06(506.25) + 60.75 + 5.9
f(22.5) = -30.375 + 60.75 + 5.9
f(22.5) = 36.275
The maximum height is 36.275 feet

Final answer:

The maximum height reached by the shot is 36.375 feet. This occurs at a horizontal distance of 22.5 feet from its point of release.

Explanation:

This is a question about the maximum height of a shot put. The equation presented here is a quadratic function, and it has the form of a parabola. The maximum value of a parabola that opens downwards (as in this case, where the coefficient of x2 is negative) is given at its vertex.

To find the 'x' coordinate of the vertex, use the formula -b/2a, where 'a' is the coefficient of x2 and 'b' is the coefficient of 'x'. In this case, 'a' is -0.06, and 'b' is 2.7. -b/2a = -(2.7)/(2*-0.06) equals 22.5 feet. This is the horizontal distance from the point of release where the shot reaches the maximum height. To find the maximum height, substitute the value of 'x' into the equation, f(22.5) = -0.06*(22.5)2 + 2.7*22.5 + 5.9. This gives the maximum height as 36.375 feet.

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Given: LM ∥ KN , KL ∥ NM LP = h1 = 5 cm, MQ = h2 = 6 cm PKLMN = 42 cm Find: Area of KLMN

Answers

Answer:

Area = 630/11 cm² = 57 3/11 cm²

Step-by-step explanation:

Area = (5 cm)(KN) = (6 cm)(KL)

Perimeter = 2(KN +KL) = 42 cm

So, ...

KN = 1.2·KL . . . . divide the area equation by 5 cm

1.2·KL +KL = 21 cm . . . . . divide the perimeter equation by 2

KL = (21 cm)/2.2 . . . . . . . divide by the coefficient of KL

Substituting for KL in the area equation, we have ...

Area = (6 cm)(21 cm)/2.2 = 630/11 cm²

Write a number sentence that compares 3/5 and 5/6

Answers

To compare 3/5 and 5/6th we need to convert them to a common denominator so if we multiply their denominators we get 5x6 = 30 but we must multlply the numerator by the same number so 3/5 = 18/30th and 5/6 = 25/30 so we see that 25/30 is greater than 18/30th or then 5/6 is greater than 3/5.

What is the expression for the calculation double the product of 8 and 3

Answers

(8*3)2 is correct answer for your question

Final answer:

The expression for the calculation double the product of 8 and 3 is 2*(8*3). When calculated, it equals to 48.

Explanation:

The expression for the calculation double the product of 8 and 3 is represented by 2*(8*3). Here, the multiplication sign (*) denotes multiplying the quantities together. First, multiply 8 and 3 together to get 24, then double the result to get 48. This means that the expression 2*(8*3) equals 48.

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A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.

Answers

where are the line plots

The data set with the greater range is (the girls).

The Median is ( Neither as the range is the same).

I Took The K12 Test

what is the greatest common factor of 30 and 18

Answers

the answer should be 2*3

Hello there! :)

The GCF of 30 and 18 is 6.

STEPS:

List all the factors of 30 and 18:

18: 1, 2, 3, 6, 9, 18

30: 1, 2, 3, 5, 6, 10, 15, 30.

So the GCF is 6.

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature :)[/tex]

The set of points (2, 3), (9, 3), (9, –2), and (2, –2) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
A parallelogram
B square
C rectangle
D trapezoid

Answers

a sorry if I get it wrong

Answer:

C rectangle

Step-by-step explanation:

All the coordinates of the setpoint are (x,y) so, you need to draw the axis and you'll found a rectangle (attached)

It is not a square because its side and height are not equal.

It is not a parallelogram because there are no diagonals.

It is not a trapezoid because it has parallels sides.

It's a rectangle because it has two pairs or parallels, one longer than the other.

Sara wrote 524 words in her journal. Then she crossed out 56 words and added 95 new words. How many words are written in her journal now?

Answers

you have 524 words then subtract by 56 bc she crossed them out and then she added 95 by writing them so therefor the answer is 563

5x−4y=−10
−4x+5y=8
Solve System of equations

Answers

5y = 4x + 8 and y = 4x/5 + 8/5

{5x−4y=−10 ⇒ 5x = 4y-10 ⇒ x=(4y-10)/5 ⇒ x = 0.8y - 2
{-4x+5y=8

-4(0.8y-2) + 5y = 8
-3.2y + 8 + 5y = 8
1.8y = 8 - 8
1.8y = 0
y = 0

5x−4·0=−10
5x = -10
x = -10/5
x = -2

Your answer is (-2, 0)

write 539,035 in expanded form

Answers

500,000 +30,000 +9,000 +0 +30 +5
I hope this helps my friend and have a good day .

500,000 + 30,000 + 9,000 + 0 + 30 + 5

A newborn child receives a $9,000 gift toward a college education from her grandparents. How much will the $9,000 be worth in 18 years if it is invested at 7.6% compounded quarterly? Round to the nearest cent.

Answers

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$9000\\ r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\to &4\\ t=years\to &18 \end{cases} \\\\\\ A=9000\left(1+\frac{0.076}{4}\right)^{4\cdot 18}\implies A=9000(1.019)^{72}[/tex]

The area of circular garden is 530.66 feet2. What is the circumference of the garden? (Use 3.14 for .

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ ------\\ A=530.66 \end{cases}\implies 530.66=\pi r^2 \\\\\\ \cfrac{530.66}{\pi }=r^2\implies \sqrt{\cfrac{530.66}{\pi }}=r \\\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \implies C=2\pi \left( \sqrt{\cfrac{530.66}{\pi }} \right)[/tex]

For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

Answers

Try this solution:
1. according to the condition
[tex] \left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \ \ x \geq 0.[/tex]
2. for more details see the attached graph.

Answer: [0;+oo)

Help me find the surface area of a triangular prism with work please

Answers

Asked and answered elsewhere.
https://brainly.com/question/8958442

Find the value of the expression below.log5 2 + log5 10 - log5 4 A.0 B.1 C.3 D.2

Answers

[tex]\bf \textit{logarithm of factors}\\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of rationals}\\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y)\\\\ -------------------------------\\\\ log_5(2)+log_5(10)-log_5(4)\implies log_5(2)+\left[log_5\left( \cfrac{10}{4} \right) \right] \\\\\\ log_5(2)+log_5\left( \cfrac{5}{2} \right)\implies log_5\left[(2)\left( \frac{5}{2} \right) \right]\implies log_5(5)\implies 1[/tex]

The solution to the expression log₅ ( 2 )+ log₅( 10 ) - log₅( 4 ) is 1. Option B is correct.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is calculated as:-

E = log₅ ( 2 )+ log₅( 10 ) - log₅( 4 )

Use Logarithmic property Loga(x / y ) = Loga(x) - Loga(y)

E = log₅ ( 2 ) + log₅( 10 / 4 )

Use Logarithmic property Loga(x y ) = Loga(x) + Loga(y)

E = log₅ [ 2 x ( 10 / 4 ) ]

E = log₅ ( 5 ) = 1

Therefore, the solution to the expression log₅ ( 2 )+ log₅( 10 ) - log₅( 4 ) is 1. Option B is correct.

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find the values of x and y in the following equation. (x + yi) + (4 + 9) = 9 -4i

Answers

we have that

if the expression is (x + yi) + (4 + 9) = 9 -4i
x+13=9-----------> x=9-13-------------> x=-4
yi=-4i----------- > y=-4

the solution is
x=-4
y=-4

if the expression has a typing error and it is really (x + yi) + (4 + 9i) = 9 -4i
then
x+4=9------------> x=9-4-------< x=5
y+9=-4-------------> y=-4-9 ------------> y=-13
the solution is
x=5
y=-13

Final answer:

In this question we solve the given complex number equation. By comparing real and complex components on both sides of the equation, we find the values satisfying the equation are x = 5 and y=-13.

Explanation:

In this complex number equation, we must solve for x and y: (x + yi) + (4 + 9) = 9 -4i. Begin by simplifying the left side of the equation, to give (x + 4 + yi +9i) = 9 - 4i. This further simplifies to (x + 4) + (y + 9)i = 9 -4i.

Now we can see that the real component of the equation (x + 4) must equal the real component on the other side of the equation (9), and the complex component of the equation (y + 9)i must equal the complex component -4i. Setting these equal gives x + 4 = 9 and y + 9 = -4.

Solving these gives x = 5 and y = -13, which are the values for x and y satisfying the equation.

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How do you check your answer for volume of a cylinder? Desperate need of answering

Answers

1. Make sure you're using the correct formula for the dimensions given. The usual formula gives volume in terms of radius and height. If you are given the diameter, the formula will be different, or you need to compute the radius before you use the formula.

2. Make sure you're using the appropriate value for π. Many calculators have the value built-in. Many problems posted on Brainly require the use of 3.14, which will give different answers. (One recent problem required the use of 3.) If your calculator doesn't have π built in, a reasonable value is 355/113, which is good to 7 significant figures.

3. Make sure the units you are using are compatible (generally, all the same). If your height is in one unit (say inches) and your diameter is in another unit (say centimeters), you need to do units conversion before you put the numbers in the formula. The result of putting your units in the formula with your numbers should be that you end up with units cubed. For example, for a radius of 2 cm and a height of 3 cm, the volume will be
.. V = π(2cm)^2*(3 cm) = 12π cm^3.

4. Compare the dimensions and the volume to things you know. You know the approximate size of a gallon jug, a 2 liter pop bottle, a 5-gallon bucket. Check your answer for reasonableness.

5. Make an estimate based on the dimensions. Round to 1 or 2 significant figures and make a guess as to the approximate result you should get. For this, you can use 3 for π, as you just want to be "somewhere in the ballpark" as opposed to being off by a factor of 10 or more. This requires a certain amount of number sense and knowledge of multiplication tables.

6. Make certain your calculator is being used correctly. If parentheses are involved, make sure you enter the closing parentheses--as opposed to letting the calculator put them in according to its own rules. If division or fractions are involved, make sure you have parentheses around the denominator in every case. 1/2*3 ≠ 1/(2*3) It can be helpful to use a calculator that shows you what it did. (The Google calculator does that, for example.)

7. Sometimes, it helps just to do the calculation twice (possibly in a different order). Inadvertent error can creep in even when you think you're paying attention.

8. If you're doing the math by hand, make use of all available techniques for checking your arithmetic.

what ia 10 + 10 -10 x 5932

Answers

Hello,

The answer is "59,320"

Reason:

First write the equation:

10+10-10*5932

10+10=20

20-10=10

10*5392=53,920

=59,320

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Answer:

The answer would be 59,320

Step-by-step explanation:

10+10 is 20

20-10 is 10

10x5,932 is 59,320

Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter

Answers

The problem says that Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. So, you can calculate the height asked, by following this procedure:

Tan(α)=Opposite leg/Adjacent leg

α=30°
Opposite leg=x
Adjacent leg=200 feet

When you substitute these values into the formula above (Tan(α)=Opposite leg/Adjacent leg), you have:

Tan(α)=Opposite leg/Adjacent leg
Tan(30°)=x/200

You must clear "x":

x=200xTan(30°)

Therefore, the value of "x" is:

x=115 feet

How high above the ground the is the helicopter?

The answer is: 115 feet

Melissa bought a cake that cost $75. the sales-tax rate is 10 percent. what is the total amount she paid for the cake

Answers

Answer:

The total amount that Melissa paid for the cake is $82.5

Step-by-step explanation:

we know that

The total amount that Melissa paid for the cake is equal to the cost of the cake plus the sales tax

we have that

the cost is equal to $75

Find the sales tax

The sales tax is 10%, therefore find the 10% of the cost of the cake

10%=10/100=0.10

(0.10)*$75=$7.5

Adds the cost and the sales tax

$75+$7.5=$82.5

find the volume of the cylinder 13mm and 16mm answer choices

A. 16,990
B. 8,491
C. 4,247
D. 2,369

Answers

The volume of the cylinder of a radius of 13mm and a height of 16mm

is, B. 8491 mm³.

What is a cylindrical shape?

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, The cylinder has a radius of 13mm and a height of 16mm.

Therefore, The volume of this cylinder is,

= π×(13)²×16 mm³.

= 8,490.56 mm³.

Q. find the volume of the cylinder having a radius of 13mm and a height of 16mm answer choices.

A. 16,990

B. 8,491

C. 4,247

D. 2,369

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convert 3(3.14)/8 radians to degrees

Answers

67.5 degrees

3pi/8 * 180/pi = 67.5

Use the quadratic function to predict f(x) if x equals 8. f(x) = 25x2 − 28x + 585

Answers

when you replace x with 8 you get an answer of 1961, however if you solve the equation in quadratic form and don't replace x you get 14 +/- i [tex]14 \frac{+}{-} i\sqrt{14429} [/tex] divided by 25

gabriel made 4 small meatloaves. he cut each meatloaf into fourths. how many 1/4 size pieces of meatloaf does gabriel have

Answers

He would have sixteen pieces.

solve 3y − 7 = y + 5 and explain each step please so i understand

Answers

3y − 7 = y + 5

So first, make sure you have a variable on one side only. Just subtract y from both sides.

2y - 7 = 5

Now, isolate the variable by adding 7 on both sides (inverse operations) to cancel the negative 7.

2y = 12

Finally, divide by the coefficient of the variable, in this case, 2.

y = 6

That's your answer (y = 6)! Hope this helped!

What you must do for this case is the clearance of the unknown y.
We have then:
Step 1:
(3y - 7) - y = (y + 5) - y
Step 2:
2y-7 = 5
Step 3:
(2y-7) + 7 = (5) +7
Step 4:
2y = 12
Step 5:
y = 12/2
y = 6
Answer:
y = 6

what is the sum of the rational expressions below? 2x-1/7x + x/x-2
a. 9x^2-5x+2/7x^2-2
b. 9x^2-5x+2/7x^2-14x
c. 3x-1/8x-2
d. 2x^2-5x+2/7x^2-14x

Answers

x-4/2x=3x/2x-1 (invert the bottom and then multiply)
x-4 (2x+3x/2x-1) ( the 2x's cancel)
x-4 (3x/-1)
x-4 (-3x) (expand)
-3x^2 + 12x=0
-3x^2= -12x (bring 12x to other side making it negative)
-3x^2/3x= -12x/-3x (divide both sides by -3x)
x=4
Hope that helps

[tex] \frac{2x-1}{x} + \frac{x}{x -2} = \frac{(2x-1)(x-2) +(x)(7x)}{(7x)(x-2)}[/tex]

You know the first term of the numerator wil be 2x^2 +7x^2 = 9x^2, and the last term of the denominator will be 7x(-2) = -14x.

This is sufficient work to identify selection B as the correct choice.

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