1. A sum of money is divided between Laura and Joan in the ratio 2:3. Laura’s share is $8. Calculate Joan’s share?

Typically, there are keywords in the story that tell us what operations we need to use.

For instance, in terms of age:

Let's take a look at our first option.

Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?

Let's look at our second option.

Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:

[tex]x+11[/tex]

This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:

[tex]x+11=44[/tex]

This is our final expression. It is the same as the given expression in the question.

Rana is x years old. in 11 more years, she will be 44 years old.

Answer:

3-(1-1)=(37-4

Step-by-step explanation:

Answer:

3-(1-1)=(37-4)

Step-by-step explanation:

step by step explanation

Answer:

0.67

Step-by-step explanation:

that is 4 divided by 6

your answer is 0.6666666

it's a recurring decimal

or 0.67

Answer:

Step-by-step explanation:

Hi! I hope you're enjoying your day!

Please remember that an arithmetic sequence is a sequence where we use either addition or subtraction to get to the next term.

Now, let's find an arithmetic sequence here.

Is it Option A?

Remember: It should have a common difference of 2.

Which means we either add or subtract 2 to get to the next term.

Well, it seems like Option A is right.

Let's check the other options.

Is Option B right? Nope.

Here's why.

Hint: Pay attention to the signs.

We have

1, -3, 5, -7, 9...

So Option B is wrong.

Option C is correct, because we subtract 2 each time.

Option D is wrong, because we multiply by 2 each time.

Hence, the right options are

[tex]\boxed{\boxed{\bold{Options~A~and~C.}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{200}{2}[/tex]

is this correct?

hope you liked it!

Answer:

y = -6x - 19

Step-by-step explanation:

We can use y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y - intercept

They have already given the slope of the line.

m = -6

And now we have to find the y - intercept using the given coordinates.

( -4 , 5 ) ⇒ ( x , y )

Let us find now.

y = m x + c

5 = -6 × -4 + c

5 = 24 + c

5 - 24 = c

-19 = c

Now let us write the equation of the line.

y = m x + c

y = -6x - 19

Answer:

Step-by-step explanation:

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

Answer:

Perpendicular slope: -7x

Parallel slope: 1/7x

Step-by-step explanation:

Rewrite this into slope-intercept form. So y=1/7x -1/7

Slope of a perpendicular line is the reciprocal of the original slope. So perpendicular line would be y=(-7)x-1/7. Slope in the perpendicular is -7. A parallel line will have the same slope,so basically y=1/7x-1 .

It doesn't matter what the y-int would be since a perpendicular/parallel slope only depends on the slope itself.

Answer:

[tex]\displaystyle \parallel\:\frac{1}{7} \\ \perp\:-7[/tex]

Step-by-step explanation:

[tex]\displaystyle x - 7y = 1 \hookrightarrow \frac{-7y}{-7} = \frac{-x + 1}{-7} \\ \\ \boxed{y = \frac{1}{7}x - \frac{1}{7}}[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so ⅐ remains as is. Perpendicular equations however, have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES, so ⅐ becomes −7.

I am joyous to assist you at any time.

Answer:

The elevation of University Peak could be 14,464, which in between the two mountains.

Answer:

It's shorter than Mt. Massive but it's shorter than Mt. Alverstone.

The number between 14,500 and 14,428 is 14464, that would be a great guess

Answer:

Step-by-step explanation:

CB=OB-OC;

CD=CB/2=(OB-OC)/2=(b-c)/2;

OD=OC+CD=c+(b-c)/2=c/2+b/2;

AD=OD-OA=c/2+b/2-a;

AE=2/3*AD=2/3*(c/2+b/2-a)=c/3+b/3-2*a/3;

OE=OA+AE=a+c/3+b/3-2*a/3=a/3+b/3+c/3;

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

OD=c/2+b/2;

OE=a/3+b/3+c/3;

The value of OE = (a+ b+ c)/3 and OD = (b + c)/2.

In quadrilateral OABC, we are given that D is the midpoint of BC,

and E is a point on AD such that AE : ED = 2 : 1.

Also, OA = a, OB = b and OC = c

Now, By the Midpoint Theorem, we also have

OD = (1/2)OB + (1/2)OC.

OD = (1/2)(OB + OC)

OD = (1/2)(b + c)

OD = (b + c)/2.

and, CD= (OB- OC)/2 = (b-c)/2

Now, AD=OD-OA= (c+b)/2 - a

and, AE=2/3 x AD

= 2/3 x (c+ b)/2 - a

= (c + b - 2a)/3

Then, OE = OA + AE

= a + (c + b - 2a)/3

= (a+ b+ c)/3

Learn more about Mid point theorem here:

https://brainly.com/question/13677972

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The volume of each ball is: 22.45 in.³.

The height of the cone-shaped bag = 14 inches.

Volume of each ball = 4/3πr³ = 4/3π(1.75³) = 22.45 in.³.

Radius (r) of the cone-shaped bag = 1.75

Height (h) = ?

Volume of the cone-shaped bag = 44 cubic inches

44 = 1/3(3.14)(1.75²)h

44 = 3.2h

44/3.2 = h

h ≈ 14 inches.

Learn more about the volume of a sphere and a cone on:

https://brainly.com/question/12393541

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Answer:

the answer is A im not sure so check with another person.

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

Answer:

not clear.

please send another..

Answer:

a^2+b^2=c^2

Step-by-step explanation:

13.2^2+5.5^2=c^2

204.49=c^2

sqrt(204.49)=14.3

Answer:

60 students

Step-by-step explanation:     [tex]18\div30[/tex]%

Calculate
[tex]\frac{18}{0.3}[/tex]

Multiply both the numerator and denominator with the same integer
[tex]\frac{180}{3}[/tex]

Cross out the common factor
[tex]60[/tex]

I hope this helps you

:)

Answer:

dont cheat

Step-by-step explanation:

Answer:

A 6.5x + 20 = 98

Step-by-step explanation:

This equation just means that for each visit to the movie theater, Carter will receive 6.5 points. E.g. if Carter went to the movie theater 4 times, he would get 26 points (6.5 × 4). Then you add on the 20 points he got for signing up.

Hope this helps!

Answer: 3/10

Step-by-step explanation:

Give me feedback if I am wrong.

Answer:

0.6-0.3=0.3. convert to fraction=1/3

Answer:

x=7 and y =2.

2x+y = 16

x+y = 9

Answer:

|x|=9

Step-by-step explanation:

Absolute value is |x|=9

Answer:

3381 is the answer

Answer:

3,381

Step-by-step explanation:

hope this helps

The current value of Avery’s car is $12,480.

First step is to calculate the Net Worth

Bank accounts    $3,900

Credit card debt ($2,950)

Real estate         $37,425

Student loans    ($1,700)

Investments        $4,600

Net worth           $41,275

Second step is to calculate the current value of Avery’s car

Current value=$53,755-$41,275

Current value=$12,480

Inconclusion the current value of Avery’s car is $12,480.

Learn more about current value here:https://brainly.com/question/15904086

Answer:

[tex]\left(a\right)\ 21.066\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left(b\right)\ 66.872\\ \left(c\right)\ 81.567[/tex]

Step-by-step explanation:

[tex]\left(a\right)\ P\left(2\right)=C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(1-32)^{10-2}\\ =C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(68)^8=0.21066=21.066[/tex] [tex]percent[/tex]

[tex]cb)\ P(x > 2)=P(x\le2)=1-(P(x=0)+P(x=1)+P(x=2))\\ =1-C^{\begin{matrix}0\\10\\\end{matrix}}(0.32)degrees(0.68)^{10}-C^{\begin{matrix}1\\10\\\end{matrix}}(0.32)\prime(0.68)^9-C^{\begin{matrix}1\\0\\\end{matrix}}(008)(66)^9\\ =1-0.02114-0.09948-0.21066\\ =0.66872=66.872\\[/tex]

[tex](C)\ \ \ \ \ P(2\preccurlyeq[/tex] [tex]5)=P(2)+P(3)+P(4)+P(5)5)=P(2)+P(3)+P(4)+P(5)[/tex]

[tex]=C^{\begin{matrix}2\\10\\\end{matrix}}(0.32)^{)^2}\bullet(0.68)^3+C^{\begin{matrix}3\\10\\\end{matrix}}(0.32)^3\bullet(0.68)^7+C^{\begin{matrix}4\\10\\\end{matrix}}(0.32)^4\bullet(0.68)^6+C^{\begin{matrix}5\\10\\\end{matrix}}\bullet(0.32)^5\bullet(0.65)^5)[/tex]

[tex]=0.2186+0.26436+0.21771+0.12294\\ =0.81567=81.567 percent[/tex]

[tex](binomial\ distribution)[/tex]

I hope this helps you

:)

Answer:

A: (2,2) B: (3,-1) C: (-1,0)

Step-by-step explanation:

Change the coordinates of each point using the given translation. So 2 left 3 up.

Answer:

x=2

Step-by-step explanation:

An undefined slope is the slope of a vertical line.

line through (2,3) is y=mx+b

Answer: x=2

Answer:

x = 9

Step-by-step explanation:

To Find the value of x and all angles :

We know that,

⠀

Therefore,

[tex]{ \longrightarrow \sf \qquad \angle1 + \angle2 + \angle3= 180 {}^{ \circ} }[/tex]

[tex]{ \longrightarrow \sf \qquad (13x + 2) {}^{ \circ} + (5x - 7){}^{ \circ}+ (3x - 4) {}^{ \circ} = 180 {}^{ \circ} }[/tex]

⠀

Adding like terms we get :

[tex]{ \longrightarrow \sf \qquad (13x +5x + 3x) + { \bigg[2 + ( - 7) + ( - 4) \bigg]}^{ \circ}= 180 {}^{ \circ} }[/tex]

[tex]{ \longrightarrow \sf \qquad 21x+ ( - 9) {}^{ \circ}= 180 {}^{ \circ} }[/tex]

[tex]{ \longrightarrow \sf \qquad 21x = 180 {}^{ \circ} } \sf+ \: 9 {}^{ \circ}[/tex]

[tex]{ \longrightarrow \sf \qquad 21x = 189 {}^{ \circ}}[/tex]

[tex]{ \longrightarrow \sf \qquad x = \dfrac{189 {}^{ \circ}}{21} }[/tex]

[tex]{ \longrightarrow { \pmb{\bf \qquad x = 9 {}^{ \circ}}}}[/tex]

⠀

Therefore,

[tex] \longrightarrow \: \sf \qquad \angle1 = (13x + 2) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \sf \qquad \angle1 = (13.9 + 2) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \sf \qquad \angle1 = (117 + 2) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \bf \qquad \angle1 = 119 {}^{ \circ}[/tex]

⠀

[tex]\longrightarrow \: \sf \qquad \angle2 = (5x - 7) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \sf \qquad \angle2 = (5.9 - 7) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \sf \qquad \angle2 = (45 - 7) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \bf \qquad \angle2 = 38 {}^{ \circ}[/tex]

⠀

[tex]\longrightarrow \: \sf \qquad \angle3 = (3x - 4) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \sf \qquad \angle3 = (3.9 - 4) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \sf \qquad \angle3 = (27 - 4) {}^{ \circ}[/tex]

[tex]\longrightarrow \: \bf \qquad \angle3 = 23 {}^{ \circ}[/tex]

Answer:

4 hours

Step-by-step explanation:

Each hour: 145.60/7 = 20.80

83.20/20.80 = 4

Answer:

conclusion statement four sentences about you and exothermic heat was realised or absorbed it was changed beacsue positive 9r negative.