In a box of 180 oranges, 15% are not ripe. How many oranges are not ripe?

Let it be x

ATQ

[tex]\\ \sf\longmapsto x+\dfrac{-5}{6}=\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6x-5}{6}=\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 3(6x-5)=6(2)[/tex]

[tex]\\ \sf\longmapsto 18x-15=12[/tex]

[tex]\\ \sf\longmapsto 18x=12+15=27[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{27}{18}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{3}{2}[/tex]

Answer:

x = 6

Step-by-step explanation:

Because AB = BC and AB = 4x , AC = 24

=> 4x = 24

      x =6

Answer:

X=3

I hope this helps,

Not the neatest of handwriting though

Answer:

When a pair of parallel lines is cut with another line, known as an intersecting transversal, it creates pairs of angles with special properties.

Step-by-step explanation:

CORRESPONDING ANGLES are equal

<1 and <5 <2 and <6 <4 and <8 <3 and <7

ALTERNATE INTERIOR ANGLES are equal

<3 and <5 <2 and <8

ALTERNATE EXTERIOR ANGLES are equal

<1 and <7 <4 and <6

VERTICALLY OPPOSITE ANGLES are equal

<5 and <7 <6 and <8 <1 and <3 <2 and <4

COINTERIOR ANGLES are supplementary, meaning adding their measurements together will give you 180°

<2 and <5 <3 and <8

Answer:

(-13/2 , 2)

Step-by-step explanation:

Answer:

hey there your picture is not clear and also it is cropped so height is not visible

But for TSA you can do this by the formula of πr(l+r)

Answer:

Domain: (-4, 4) Range: (0,4)

Step-by-step explanation:

Domain is the furthest left and right points on the x-axis while the range is the same but instead of it being the x-axis, it would be the y-axis. The graph shows -4 to 4 being the domain and 0 to 4 being the range.

Answer:

OPTION B: 80

SEE THE IMAGE FOR SOLUTION

Answer:

Step-by-step explanation:

hope that image helps

[tex]\\ \sf\longmapsto Area=LB[/tex]

[tex]\\ \sf\longmapsto Area=(x+4)(x-9)[/tex]

[tex]\\ \sf\longmapsto Area=x(x-9)+4(x-9)[/tex]

[tex]\\ \sf\longmapsto Area=x^2-9x+4x-36[/tex]

[tex]\\ \sf\longmapsto Area=x^2-5x-36[/tex]

Step-by-step explanation:

Solution,

Given:-

Length=x+4

Width=x-9

Now,

By applying the formula for area of rectangle, we get

Area=length×width

Area=(x+4)(x-9)

Area=x(x-9)+4(x-9)

Area=x²-9x+4x-36

Area=x²-5x-36

Answer:

1/2

Step-by-step explanation:

3 is half of 6  so the smallest term would be 1/2.

Answer:

y = -3x - 8

Step-by-step explanation:

[tex]y =\frac{1}{3}x+ 2[/tex]

Here slope m = (1/3)

Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex] = -1 ÷ [tex]\frac{1}{3} = -1 *\frac{3}{1}= - 3[/tex]

Slope m1 = -3 and (-3 ,1)

Equation of line:

y -y1 = m(x -x1)

y - 1 = -3(x - [-3])

y - 1 = -3(x + 3)      

y - 1 = (-3) *x + 3*(-3)

y - 1 = -3x - 9

    y = -3x -9 +1

y = -3x - 8

Answer:

y = - 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 2 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 3, 1 ) into the partial equation

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = - 3x - 8 ← equation of perpendicular line

Answer:

x = 11/5

Step-by-step explanation:

4x + 2 + 3x = 5 + 2x + 8

Combine like terms

7x+2 = 2x+13

Subtract 2x from each side

7x+2-2x = 2x+13-2x

5x+2 = 13

Subtract 2 from each side

5x+2-2 = 13-2

5x = 11

Divide each side by 5

5x/5 = 11/5

x = 11/5

Answer:

2.2

Step-by-step explanation:

4x+2+3x=5+2x+8

combine like terms

7x+2=2x+13

Subtract 2x from each side

5x+2=13

subtract 2 from each side

5x=11

Divide each by five

x=2.2

Answer:

5/7

Step-by-step explanation:

[tex] \dfrac{ - 2}{21} \div \dfrac{ - 2}{15} [/tex]

[tex] \dfrac{ - 2}{21} \times \dfrac{15}{ - 2} [/tex]

[tex] \dfrac{ - 30}{ - 42} [/tex]

[tex] \sf \: \dfrac{5}{7} [/tex]

Answer:

No.

Step-by-step explanation:

His rent for the year will be 1000 * 12 = $12,000 which is the same as his income!.  No money left for food, travel and other expenses.

Answer:

61

Step-by-step explanation:

(5 + 6i)(5 - 6i)

FOIL

first: 5*5 =25

outer: 5 *-6i = -30i

inner: 6i *5 = 30i

last: 6i * -6i = -36 i^2 =-36 (-1) = 36

Add together

25 -30i+30i+36

61

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

[tex] \sf \: ( 5 + 6 i ) ( 5 - 6 i )[/tex]

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

[tex] \dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2} [/tex]

By definition, i² is -1.

[tex] \dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right) [/tex]

Do the multiplications.

[tex] \dashrightarrow \sf \: 25-30i+30i+36 [/tex]

Now cancel -30i & +30i

[tex]\dashrightarrow \sf \: 25 \: \bcancel{- 30i} \: + \: \bcancel{30i}+36 [/tex]

Now the equation becomes

[tex]\dashrightarrow \sf \: 25 \: + 36 \\ \dashrightarrow \boxed{\bf \: 61}[/tex]

________

Hope it helps.

ŕάίήвόώşάĻţ2²2²

Answer:

45 nickels

30 quarters

60 dimes

15 pennies

Step-by-step explanation:

Quarters:

45÷3=15

15×2=30

Dimes:

30×2=60

Pennies:

60-45=15

Answer:

Step-by-step explanation:

Hello,

So you are gonna have 32 quarters.

One dime and one nickle.

Answer:

-4 and -2.

Step-by-step explanation:

First of all,... OH MAN,... that is serious brain twisting logic (if you can call it logic) and to be fair I had to ask a math expert person I'm acquainted with,... cause I didn't know either,... so nothing to be ashamed about,...

If we let 2x equal the lesser of the two consecutive EVEN integers, and we let y equal 2x+2 be the greater of the two consecutive EVEN integers,

(For example, this is like x = 1, so 2x=2, y=4  or  x=7, so 2x=14 and y=16, we add 2 to the lesser even integer to get the next CONSECUTIVE even integer.)

This, y=2x+2,  is one of the equations we need.  To get the other,

 "Four times the lesser (4*2x) is (=)  12 less (-12) than twice the greater (2y)."

Doing it all in math, we get:

4(2x) = 2y - 12

This simplifies to:

8x = 2y - 12

And using the first equation (y=2x+2) we can substitute "2x+2" in for "y"  

8x = 2(2x + 2) - 12

Simplify the right side by first distributing:

8x = 4x + 4 - 12

Combine like terms on the right.

8x = 4x - 8

Subtract 4x from both sides

4x = -8

Divide both sides by 4

x= -2

Remember, our lesser even integer is 2x, so the lesser integer is 2*(-2)= -4, the greater is (-4)+2= -2.

Final answer:  The two consecutive even integers are -4 and -2.

To be even more fair I don't fully understand this completely either,... he explained it to me and I and getting it,... so anyway,... Hope it helps, and

Chow,...!

Answer:

∠BAC=70°

Step-by-step explanation:

If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°

Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°

180°-(65°+45°)=70°

∠BAC°=∠DCE°

Therefore ∠BAC=70°

Answer:

5n=c

Step-by-step explanation:

Answer:

2 years

Step by step explanation:

Let Paul's brother's age be x years.

Paul is 6 times as old as hus brother so, his age will be 6x.

According to question, Paul's age is 12 years so,

6x=12

or, x=12/6

or, x=2

Hence, his brother is 2 years old.

The age of paul's brother will be 2 years.

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

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Paul is 6 times as old as his brother. Paul is 12 years old. The age will be calculated as below:-

Let Paul's brother's age be x years.

Paul is 6 times as old as his brother so, his age will be 6x.

According to the question, Paul's age is 12 years so,

6x=12

x=12/6

x=2

Hence, his brother is 2 years old.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

30+(4x-4)=180-90(angle sum of triangle)

30+4x-4=90

4x+30-4=90

4x+26=90

4x=90-26

=54

x=54÷4

=13.5

Answer:

y = 2

because when you transpose -12 it changes the sign it become positive

Answer:

1/4 of the men are right handed.

Step-by-step explanation:

You know nothing about the women. You know only about the men, so the answer has to be expressed in terms of men.

3/10 * 5/6 = 15 / 60 = 1/4

Answer:

4

Step-by-step explanation:

22=4(x+3)-5

22+5=4(x+3)-5+5

27=4(x+3)

27/4=4(x+3)/4

27/4=x+3

(27/4)-3=x+3-3

x=(27/4)-3

x=15/4

x=3.75

x=4

Answer:

40

Step-by-step explanation:

First, do the equation in the parentheses

5(6+2)

5(8)

then multiply

5 * 8 = 40

Answer:

40

Step-by-step explanation:

5(6+2)

Parentheses first

5(8)

Multiply

40

Answer:

51.35 mph to the nearest hundredth.

Step-by-step explanation:

The time she takes to travel 60 miles = distance / average speed

= 60/50 = 1.2 hours.

Total time taken =  1.2 + 2.5

= 3.7 hours.

Total distance travelled = 60 + 130

= 190 miles.

Therefore average speed for the whole journey

= 190 / 3.7

= 51.35135 mph.