What number should be added to 78to get a sum of 97

Answer: -8

Step-by-step explanation:

Your below so the integer will be negative.

Answer:

You have got

to start thinking bee, my friend.

- Thinking bee!

- Me?

Hold it. Let's just stop

for a second. Hold it.

I'm sorry. I'm sorry, everyone.

Oan we stop here?

I'm not making a major life decision

during a production number!

All right. Take ten, everybody.

Wrap it up, guys.

Step-by-step explanation:

You have got

to start thinking bee, my friend.

- Thinking bee!

- Me?

Hold it. Let's just stop

for a second. Hold it.

I'm sorry. I'm sorry, everyone.

Oan we stop here?

I'm not making a major life decision

during a production number!

All right. Take ten, everybody.

Wrap it up, guys.

175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that The Booster Club has a goal of raising at least $300.

The Club has already raised $175

The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.

175+3t≥300

One hundred seventy five plus three times t greater than or equal to three hundred.

We have used greater than or equal to in inequality because in data given atleast.

Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

Step-by-step explanation:

If two variables x and y are independent, then:

P(x and y) = P(x) P(y)

Or, in terms of conditional probability:

P(x given y) = P(x)

From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.

From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.

Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.

Answer:

The original price is 337.50

Step-by-step explanation:

If we get 20% off, we still have to pay 100-20 =80%

Let x be the original price

x *80% = 270

.80x = 270

Divide each side by .80

.80x/.80 = 270/.80

x =337.50

The original price is 337.50

Answer:

the original price was $324.

Step-by-step explanation:

since 20% of $270 is $54, you add the $54 and get $324.

hope this helps! best of luck <3 (also i didn't include tax; it didn't specify and also i don't know the tax for your region)

Answer:

54.6

Step-by-step explanation:

42 =  70%

100% - 70% = .30%

42 x 1.3 = 54.6

1/3 divided by 4/5 = 5/12

[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]

[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]

[tex]\\ \rm\longmapsto 8(5+2)[/tex]

[tex]\\ \rm\longmapsto 8(7)[/tex]

[tex]\\ \rm\longmapsto 56[/tex]

Answer:

131

Step-by-step explanation:

supplementary angles are any two angles whode sum is 180. If v= 49 then 131 would be W. 131+49= 180

Answer: i'm pretty sure Meg would have skated 1/2 of a mile in an hour

Answer:

meg would have skated 1/2 of a mile in 1 hour.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

5x-7+3x =8x-7

3x-7+5x=8x-7

Since both result are the same, hence the functions are equal

Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.

For the function

5x-7+3x

= 5x+ 3x - 7

= 8x - 7

For the function 3x - 7 + 5x

Collect the like terms

3x + 5x - 7

8x - 7

Since both results are the same, hence the functions are equal

Learn more here: https://brainly.com/question/11496139

Step-by-step explanation:

If I'm not wrong it should be 27.93

Answer:

[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]

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

Explanation:

Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.

The two angles form a 180 degree straight angle

(4x+13) + (9x-2) = 180

4x+13 + 9x-2 = 180

(4x+9x) + (13-2) = 180

13x + 11 = 180

13x+11-11 = 180-11 .... subtracting 11 from both sides

13x = 169

13x/13 = 169/13 .... dividing both sides by 13

x = 13

We can verify this by noticing that

4x+13 = 4*13+13 = 65

9x-2 = 9*13-2 = 115

So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.

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

The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary

Let's use x = 13 to find the value of y

(9x-2) + (6y-1) = 180

9x-2+6y-1 = 180

9x+6y-3 = 180

9*13+6y-3 = 180 .... plug in x = 13

117+6y-3 = 180

6y+114 = 180

6y+114-114 = 180-114 .... subtract 114 from both sides

6y = 66

6y/6 = 66/6 ...... divide both sides by 6

y = 11

To help confirm,

6y-1 = 6*11-1 = 65

which adds onto the (9x-2) = 115 degree angle to get 180.

-----------

Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.

Answer:

[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]

Simplifies to:

[tex]36i^2 + 3[/tex]

[tex]= 39[/tex]

Answer:

If the question is how much she would have in each account the value would be that two would have $9,333 and one would have to be $9,334

Step-by-step explanation:

1 pound = 16 ounces

you should make both with the same unit measurement. Let's convert them to ounces.

4 pounds= 4x16 ounces=64 ounces

ratio 10 ounces to 4 pounds= 10 ounces : 64 ounces

= 5 ounces : 32 ounces= 5 : 32

Answer:

Step-by-step explanation:

Answer:

6.48

Step-by-step explanation:

Start with:

 [tex]4.88[/tex]

+ [tex]1.6[/tex]

I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]

Rewrite:

 [tex]4.88[/tex]

+ [tex]1.60[/tex]

Add.

[tex]6.48[/tex]

Answer:

-45

Step-by-step explanation:

(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Answer:-45

Step-by-step explanation:(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Answer:

<MLK

<EFH

<KLJ

Step-by-step explanation:

Each Is At A Right Angle, I Just Answered This On My Quiz.

Answer:

Step-by-step explanation:

2x^3(x^2 + 5x - 11)

Answer:

16

Step-by-step explanation:

Take the total amount and divide by the amount per candy bar

28 /1.75

16

He can buy 16 candy bars

Answer:

(3,-3) or x = 3

Step-by-step explanation:

I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.

The joint density equation is missing in the question. The equation is [tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]

Probability is 0.59

Step-by-step explanation:

We have

x -- denotes the annual claim health insurance

y -- denotes the annual claim life insurance

And joint density of x and y is given to us

[tex]f(x,y)=\left\{\begin{matrix}2x^3, 0\leq x\leq 1,0\leq y\leq 2\\ 0, \text{ otherwise}\end{matrix}\right.[/tex]

Event that the claim exceeds 0.5 but less than 2 can be written as 0.5≤ x+y ≤2

and claim of life insurance less than 1.5 can be written as 0 ≤ y ≤ 1.5

Required probability

= P( 0.5≤ x+y ≤2  ∩ 0 ≤ y ≤ 1.5 )

Lets plot this, to find the common region

For common region

when 0≤ x ≤ 0.5, then 0.5 ≤ y ≤ 1.5  ---- for region I

when 0.5≤ x ≤ 1, then 0 ≤ y ≤ 2-x  ---- for region II

The required probability

= [tex]\int_{0}^{0.5} \int_{0.5-x}^{1.5}2x^3 dy dx+\int_{0.5}^{1} \int_{0}^{2-x}2x^3 dy dx[/tex]

= [tex]\int_{0}^{0.5} 2x^3[\int_{0.5-x}^{1.5}dy] dx+\int_{0.5}^{1} 2x^3[\int_{0}^{2-x}dy] dx[/tex]

= [tex]\int_{0}^{0.5} 2x^3(1.5-0.5+x) dx+\int_{0.5}^{1} 2x^3 (2-x) dx[/tex]

= [tex]\int_{0}^{0.5}2x^3 dx+\int_{0}^{0.5}2x^4 dx+\int_{0.5}^{1}4x^3 dx-\int_{0.5}^{1}2x^4[/tex]

= [tex][\frac{2x^4}{4}]_0^{0.5}+[\frac{2x^5}{5}]_0^{0.5}+[\frac{4x^4}{4}]_{0.5}^1-[\frac{2x^5}{5}]_{0.5}^1[/tex]

= [tex]$\frac{1}{32}+\frac{1}{80}+\frac{1}{16}-\frac{31}{20}$[/tex]

= 19/32

=0.59    

Answer:

3^12 = 531441

Step-by-step explanation:

For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:

[ ( 3^2 ) ^ 3 ] ^ 2

= [ 3^2 * 3^2 * 3^2 ] ^ 2

= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2

And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:

3 ^ (2 + 2 + 2 + 2 + 2 + 2)

= 3^12

Either way of power manipulation, you end with the same result of 3^12. Hope this helps.

Cheers.

Answer:

1. "Everyone is doing it"; 2. "It's fun to use our products"; 3. "You will be successful if you use our products."

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

Hope this helps you