What is 78.74 rounded to the nearest tenth

Step-by-step explanation:

total number of tubes=4

total spent=<$20

4(x)<$20

x<$20/4

x<$5

The inequality represented is 4x < 20 and the cost of one tube will be less than $5.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

The cost of one tube = x

Cost of 4 tubes = 4x

Cost < $20

4x < 20

x < $5

Hence "The inequality represented is 4x < 20 and the cost of one tube will be less than $5.".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Answer:

10,  it's 5 less than 5 times 3

Step-by-step explanation:

Answer:

-42

Step-by-step explanation:

reason: because on the left we have negative six and on the right we have positive 7, so what is the equation? well it would be -6 x 7 because if a number is in these () it means you multiply

Answer:

x = √47

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We have a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 5

Leg b = x

Hypotenuse c = √72

Step 3: Solve for x

Answer:

The answer is to the question is 13

This question is incomplete

Complete Question

Taylor made 2 1/2 gallons of fruit punch. What is the total number of 8-fluid-ounce cups of punch that Taylor made?

Answer:

40

Step-by-step explanation:

Step 1

Let's convert the gallons to fluid ounces

1 gallon = 128 fluid ounces

2 1/2 gallons = x

Cross Multiply

x = 2 1/2 gallons × 128 fluid ounces

x = 320 fluid ounces

2 1/2 gallons of fruit punch = 320 fluid ounces of fruit punch.

Step 2

The total number of 8-fluid-ounce cups of punch that Taylor made is calculated as:

8 fluid ounce = 1 cups

320 fluid ounces = x

Cross Multiply

8x = 320

x = 320/8

x = 40

Hence, the total number of 8-fluid-ounce cups of punch that Taylor made is 40

Answer:

a)

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount  P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

substituting the values

[tex]A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}[/tex]

[tex]\:A\:=\:4200\left(1.0025\right)^{120}[/tex]

[tex]A=5667.28[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Answer:

It will equal 0

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=x^2+2x-1\\y-3x=5&\text{add}\ 3x\ \text{to both sides}\end{array}\right\\\left\{\begin{array}{ccc}y=x^2+2x-1&(1)\\y=3x+5&(2)\end{array}\right[/tex]

Substitute (1) to (2):

[tex]x^2+2x-1=3x+5\qquad|\text{subtract}\ 3x\ \text{and 5 from both sides}\\\\x^2-x-6=0\\\\x^2+2x-3x-6=\\\\x(x+2)-3(x+2)=0\\\\(x+2)(x-3)=0\iff x+2=0\ \vee\ x-3=0\\\\x=-2\ \vee\ x=3[/tex]

Substitute the values of x to the (2):

[tex]\text{for}\ x=-2\\\\y=3(-2)+5=-6+5=-1\\\\\text{for}\ x=3\\\\y=3(3)+5=9+5=14[/tex]

Answer:

All the best this is the answer

2x+y=1

y=x-5

substitute: y=x-5 in 2x+y=1

2x+x-5=1

2×+x=1+5

2x+x=6

3x=6

x=6/3

x=2

finding y:

substitute x=2 in 2x+y=1

2×2+y=1

4+y=1

y=1-4

y=-3

so(2,-3) is the answer

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

8% = 0.08 = [tex]\frac{2}{25}[/tex]

Answer:

y = .25 x 96

y = 24

This is the answer.

Step-by-step explanation:

25% is the same as 0.25

25% = 25/100 = 0.25

Multiply 0.25 with 96

0.25 x 96 = 24

24 is your answer

hope this helps

Answer:

16,713.4 cc

Step-by-step explanation:

You are given the height (6) and circumference (187) and the formula for the volume of the volume of a cylinder is [tex]\pi *r^{2} *h[/tex]. You first need to find the radius of the cylinder using the equation [tex]C=2\pi r[/tex]. Doing so, you get 29.76 cm for the radius. After this, you plug in 29.76 and 6 into the equation to get 16,713.4 cc.

27

5

Y=5x+27

Here ya go

Answer:

I answered ur question answer is x=-4

Answer:

Step-by-step explanation:

speed=75 miles per hour

[tex]speed=\frac{75 \times 1760 \times 3 }{3600 } =110 ~ft~/ ~s[/tex]

distance covered in 10 seconds=110×10=1100 ft

Answer:

We will use this equation to solve this question: Distance = Speed/Time

Distance = 75 x 5280

                     3600

We are multiplying 75 by 5280 because we want to convert miles to feet. Then, we divide it by 3600, which is equivalent to an hour.

Distance = 396,000

                     3600

              = 110 Feet

Therefore, the car will travel 110 feet in 10 seconds.

Answer:

Step-by-step explanation:

[tex] = \frac{9 + 12 + 30}{2}cm \\ = \frac{51}{2}cm \\ 25.5cm[/tex]

Answer: 4x+9-3/5=10xy^3-49

Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0

STEP

1

:

Equation at the end of step 1

3

((4x + 9) - —) - ((2•5xy3) - 49) = 0

5

STEP

2

:

3

Simplify —

5

Equation at the end of step

2

:

3

((4x + 9) - —) - (10xy3 - 49) = 0

5

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

4x + 9 (4x + 9) • 5

4x + 9 = —————— = ————————————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4x+9) • 5 - (3) 20x + 42

———————————————— = ————————

5 5

The greatest common factor of the expression will be 8( x + 6y).

The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero.

The given expression is 8x+48y. The greatest common factor will be calculated as,

E = 8x+48y

E = 8(x +6y)

Therefore, the greatest common factor of the expression will be 8( x + 6y).

To know more about GCF follow

https://brainly.com/question/219464

#SPJ3

Answers:

x = 5

y = -5

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

Work Shown:

3x + 2y - 5 = 0

3(y+10) + 2y - 5 = 0 ... replace x with y+10

3y+30+2y-5 = 0 .... distribute

5y+25 = 0

5y = -25 .... subtract 25 from both sides

y = -25/5 .... divide both sides by 5

y = -5

Use this y value to find x

x = y+10

x = -5+10

x = 5

------------------

As a way to check, plug these x and y values into the first equation

3x + 2y - 5 = 0

3(5) + 2(-5) - 5 = 0

15 - 10 - 5 = 0

5 - 5 = 0

0 = 0

This confirms the first equation and helps confirm our answers.

The angle BCD = 120°

Given

A parallelogram and four angles

Required

Angle BCD

Solution

In A parallelogram

The sum of the four angles is 360°

Opposite angles are equal /congruent(A=C, B=D)

Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).

We choose a solution by using

Consecutive angles :

∠C+∠B=180°

18x=180°

x=10

∠C=∠BCD =

[tex]\tt 12x=12\times 10=120^o[/tex]

Or we can use another ways :

The sum of the four angles is 360°

∠A+∠B+∠C+∠D=360°

12x+6x+12x+6x=360°

36x=360°

x=10

∠C=∠BCD =

[tex]\tt 12x=12\times 10=120^o[/tex]

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}[/tex]

Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-

[tex]\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}[/tex]

Let the co ordinates of B be (x , y ) .

Now , on substituting the respective values ,we have :-

[tex]\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}[/tex]

[tex]\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}[/tex]

Hence the value of x coordinate is (-1) and y - coordinate is (-8) .

Answer:

Step-by-step explanation:

B is the answer

Ok so basically I gonna learn something that is abt point so kk?? Alr so basically if you want people to answer u question mostly the new put at least 15 or more points invested caused u shoulda grinded with meme was and trolling kids for points and that exactly why im saying because I want points and so do other people because I put a question with 5 points, waited an hour nobody respond, then 50 and everyone was refreshing my profile like crazy they said (on my banned acc) saying OMG NOO I WAS SO CLOSE PLS DO ANOTHER and others like OMG NO WAY FREE POINTS THIS ALMOST NEVER HAPPENS And more stuff so yeah no hate no offense no hate no offense no hate no offense no offense no offense no offense but I need more point and and so do other people that try to ask questions And answer, pls be nice and give to people that struggling ok if not, ur a greedy noob.

Answer: It's a 50% chance (25 times)

Reason: It's Statically proven that if there are two things you are comparing, and are trying to flip (Like a coin) There's a fifty percent chance of flipping to that side. Thus having this information, you will land on tails 25 times statically.

I hope this helps, and Happy Holidays! :)

Answer:

Brian had 4 jeans

Step-by-step explanation:

Together Cam and Brian had 24 pair of jeans. Cam had 4 less the Brian. Which inequality of equation could be used to find the number of jeans that Brian had?

Let the number of jeans

Cam had = x

Brian had = y

Hence: x + y= 24 Jeans

Cam had 4 less the Brian.

= x = y - 4

Hence:

x > y

The number of jeans Brian had is calculated as:

x + y= 24

y - 4 + y= 24

2y = 24+ 4

2y = 28

y = 28/2

y = 14 jeans

Answer:

8 x h= p

Step-by-step explanation:

You see 8. That is the amount she is getting paid for each hour.

p is how much is paid totally after working a certain amount of hours

h represents how many hours she works.

8 dollars times the amount of  hours she works(h) would equal p, the total amount she is paid

I really hope this helped~~