Isaac and Juanita are collectin apples to make an apple pie. Isaac picks up 3 apples every minute and Juanita picks up 5 apples every two minutes. If they need 40 apples for a pie, about how long will it take both of them to collect enough apples?

[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]

[tex] \\ [/tex]

To find value of x.

[tex] \\ [/tex]

⇢ (3x - 3)° = 60°

[tex] \\ [/tex]

Reason:-{

They both are alternate interior angles.

What is alternate interior angles.?

When two lines are cut by a third line, a transversal.}

[tex] \\ [/tex]

⇢ 3x - 3° = 60

⇢ 3x = 60° + 3°

⇢ 3x = 63°

⇢ x = 63°/3°

⇢ x = 21°

[tex] \\ [/tex]

Verification:

[tex] \\ [/tex]

⇢ (3x - 3)° = 60°

⇢ (3 × 21 - 3)° = 60°

⇢ 63° - 3° = 60°

⇢ 60° = 60°

LHS = RHS

HENCE VERIFIED!

[tex] \\ [/tex]

To find value of y.

[tex] \\ [/tex]

⇢(4y + 4)° + 60° = 180°

[tex] \\ [/tex]

Reason:-{

The lines are in linear pair.

What is linear pair?

A pair of adjacent angles that form angles when two lines intersect}

[tex] \\ [/tex]

⇢ (4y + 4)° + 60° = 180°

⇢ (4y + 4)° = 180° - 60°

⇢ 4y + 4° = 120°

⇢ 4y = 120° - 4

⇢ 4y = 116°

⇢ y = 116/4°

⇢ y = 29°

[tex] \\ [/tex]

Verification:

⇢ (4y + 4)° + 60° = 180°

⇢ (4 × 29 + 4)° + 60° = 180°

⇢(116 + 4)° + 60° = 180°

⇢ 120° + 60° = 180°

⇢ 180° = 180°

LHS = RHS

HENCE VERIFIED!

~WindyMint♡

By using the equivalence of the formed angles, the solution is x = 41.

Note that the angle that is at the right of the equation with x, is equivalent to the bottom right angle, which measures 60°.

Then we will have that:

(3x - 3)° + 60° = 180°

Now we can solve that for x:

(3x - 3)° = 180° - 60° = 120°

3x = 120 + 3

x = 123/3 = 41

The solution is x = 41

If you want to learn more about angles, you can read:

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Answer:

um yes to the opreations sjut ad

Answer:

1100 dirham

Step-by-step explanation:

If one book is 55 dirham, then you multiply that by 20 to get the total cost.

(If you are supposed to go from dirham to something else, then I'm sorry I don't know)

Hope this helps!

Answer:

2 mm: 1 m

Step-by-step explanation:

That is, the same soccer field has different lengths in actual and in a map.

These scale and actual lengths must be related, and they are related to each other by what we call the scale ratio.

Scale ratio = dimensions in a drawing : actual dimensions

= 232mm : 116m

(we divide this by 116 to get 2)

= 2mm : 1m

Answer: c

Step-by-step explanation:

The answer Is C molecule

Answer:

6x^2-10x-7

Step-by-step explanation:

(7x^2-4x-8) - (x^2+6x-1)

Distribute the minus sign

(7x^2-4x-8) - x^2-6x+1

Combine like terms

(7x^2-x^2 -4x-6x -8+1

6x^2-10x-7

Answer:

8:5

Step-by-step explanation:

Answer:

1/5x dogs were on a leash

Step-by-step explanation:

To work through this problem we have to keep in mind that x represents the number of dogs at the park.

1/5 of x dogs are leashed.

Therefore, we can conclude that the answer is 1/5x.

I have no idea if the picture of the dogs was meant to give a clue but hope this helps :)

1)

x+10<-7

bring 10 to the other side

x<-10-7

x<-17

2)

-3x-4>5

bring -4 to the other side

-3x>9

divide -3 at the other side, since it is negative it changes to less than

x<-3

Answer:

3/2 cm/s

Step-by-step explanation:

speed = gradient of the line (slope)

To calculate the slope divide the change in y by the change in x:

(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s

Answer:

except when x = 3

Step-by-step explanation:

f(x) = [tex]\frac{1}{x-3}[/tex]

the denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x - 3 = 0 ⇒ x = 3 ← excluded value

f(x) is defined for all real numbers except when x = 3

Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options

From the question, we have the following parameters:

This means that the probability of hit is:

P(Hit) = 20/30

Simplify

P(Hit) = 2/3

Using the complement rule,

P(Miss) = 1/3

The above means that the simulation that represents the situation must have the following parameters:

Using the above highlights, the correct scenarios are:

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Answer:

45% increase

Step-by-step explanation:

The new number (87) is bigger than the original number (60), so this is a percent increase.

To find the percent of change, which in this case is a percent increase, take the change amount and divide by the original, then convert to a percent.

Subtract to find the change.

87 - 60 is 27.

27 is the amount of change.

change/original

= 27/60

= .45

Times by 100 to change to a percent.

.45 × 100

= 45%

Answer:

x = 12 and y = -9

                                            Explanation:

Given:

2 x +3y = -3

3x + 5y = -9

make x the subject:

[tex]2 x +3y = -3[/tex]

[tex]2x = -3 - 3y[/tex]

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

[tex]3x + 5y = -9[/tex]

[tex]3x = -9-5y[/tex]

[tex]x = \frac{-9-5y}{3}[/tex] ______equation 2

solve them simultaneously:

[tex]\frac{-9-5y}{3} = \frac{-3 - 3y}{2}[/tex]

[tex]2(-9-5y) = 3(-3-3y)[/tex]

[tex]-18-10y = -9 - 9y[/tex]

[tex]-10y + 9y = -9 + 18[/tex]

[tex]-y = 9[/tex]

[tex]y = -9[/tex]

now solve for x:

[tex]2 x +3y = -3[/tex]

[tex]2x + 3(-9) = -3[/tex]

[tex]2x -27 = -3[/tex]

[tex]2x = -3 + 27[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

coordinates where they both intersect is (12,-9) at one point so they have one solution

Answer:

x = 12

y = -9

The system has one solution as it has one point of intersection at (12, -9)

Step-by-step explanation:

Equation 1:   [tex]2x + 3y = -3[/tex]

Equation 2:   [tex]3x + 5y = -9[/tex]

Rewrite equation 1 to make [tex]x[/tex] the subject:

       [tex]2x + 3y = -3[/tex]

[tex]\implies 2x = -3 - 3y[/tex]

[tex]\implies x = -\dfrac32 - \dfrac32 y[/tex]

Substitute this into equation 2 and solve for [tex]y[/tex]:

       [tex]3( -\dfrac32 - \dfrac32 y)+5y=-9[/tex]

[tex]\implies -\dfrac92 - \dfrac92 y+5y=-9[/tex]

[tex]\implies -\dfrac92 +\dfrac12 y=-9[/tex]

[tex]\implies \dfrac12 y=-\dfrac92[/tex]

[tex]\implies y=-9[/tex]

Substitute y = -9 into one of the equations to find [tex]x[/tex]:

      [tex]2x + 3(-9) = -3[/tex]

[tex]\implies 2x - 27 = -3[/tex]

[tex]\implies 2x = 24[/tex]

[tex]\implies x=12[/tex]

[tex]\cfrac{5}{8}\cdot \cfrac{8}{25}\implies \cfrac{5}{25}\cdot \cfrac{8}{8}\implies \cfrac{1}{5}\cdot 1\implies \cfrac{1}{5}[/tex]

Answer:

15m

Step-by-step explanation:

to answer this question, we need to use pythagorean theorem. this theory says:

a² + b² = c²

so, let’s work out b.

a² + b² = c²

20² + b² = 25²

20 x 20 = 400. 25 x 25 = 625.

400 + b² = 625.

we want to solve for b, which means to get b in it’s own, so we are going to get rid of the 400 on both sides, leaving just b² on the one side.

625-400=225.

b² = 225

b = √225

b = 15 :)

hope this helps!!!!

Answer:

B

Step-by-step explanation:

$500 a week x 50 weeks in a year = $25,000 a year

$27,500 > $25,000

HOPE THIS HELPED

Answer:

Step-by-step explanation:

is between two numbers.

is less than or equal to a number.

is greater than or equal to a number.

It is meaningful to compute the probability that a continuous random variable when it is between two numbers.

Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.

Continuous random variable is is one which takes an infinite number of possible values.  A random variable is said to be continuous if it assumes a value that falls between a particular interval.

So, from the above mentioned statement we can assume that ;

The statement given in option [tex](c)[/tex] is correct .

Hence, we can say that it is meaningful to compute the probability that a continuous random variable when it is between two numbers.

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Answer:

The answer will be 96

Step-by-step explanation:

32×3=96

32

3

×

____

96

Answer:

96

Step-by-step explanation:

Let's name the x-coordinates and y-coordinates

So, According to question

Abscicca of Point A = 2

Ordinate of Point B = -4

Point D = (-4,2)

Answer:

35.93

Step-by-step explanation:

If the mean of 15 numbers is 41.6, the sum of these numbers must be (15)*(41.6) = 624

We n=know one of these numbers is the 117 that was entered by mistake.  Subtract that out and replace it with the correct number, 17.  In essence we are modifying the number by (-117+17) or -100.

524 is the corrected value.  Divide that by 15 to find the ciorrect mean:

(524)/15 = 34.93

Answer: angle 2= 145

angle 3= 145

angle 4=35

angle 5=35

angle 6=145

angle 7= 145

angle 8=35

Step-by-step explanation:

look over your angle theorems like the interior angles theorem and the supplementary angle theorem

Answer:

9 numbers

Step-by-step explanation:

10^2 + 10 = 110. This is also greater than 100.

Highest value of x is 9.

9^2 + 9 = 90.

Not sure if zero counts, but if it does, it'll be 10 numbers instead.

Hope this helps!

There are 9 positive integers x satisfy the inequality x² + x < 100.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the inequality

x² + x < 100.

First take x= 1 then

1² + 1 = 2 < 100

Take x= 2

2² + 2 = 6 <100

Take x= 3

3² + 3 = 12 < 100

Take x = 4

4² + 4 = 20 < 100

Take x= 5

5² + 5 = 30 < 100

Take x =6, 7, 8, 9, 10 and 11

6² + 6<100

7² + 7<100

8² + 8<100

9² + 9 <100

10² + 10 > 100

So, there are 9 possible digits.

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Answer:

∠ECD = 82°

Step-by-step explanation:

Alternate Interior Angles Theorem : when two parallel lines are cut by a transversal, the alternate interior angles are congruent.  Alternate angles form a Z shape and are sometimes called "Z angles".

Therefore,

∠CDF = ∠GBC = 45°

∠CEF = ∠GAC = 53°

The sum of the interior angles of a triangle is 180°

⇒ ∠ECD + ∠CDF + ∠CEF = 180

⇒ ∠ECD + 45 + 53 = 180

⇒ ∠ECD = 180 - 45 - 53 = 82°

In ∆ABC

[tex]\\ \tt\longrightarrow x+53+45=180[/tex]

[tex]\\ \tt\longrightarrow x+98=180[/tex]

[tex]\\ \tt\longrightarrow x=180-98[/tex]

[tex]\\ \tt\longrightarrow x=82[/tex]

Now

m<ECD and m<ACB are opposite hence equal

Hey there!

8x - 3 + 4x + 3 = 180°

COMBINE the LIKE TERMS

(8x + 4x) - (3 + 3) = 180°

8x + 4x - 3 + 3 = 180°

12x + 0 = 180°

12x = 180°

DIVIDE 12 to BOTH SIDES

12x/12 = 180/12

CANCEL out: 12/12 because that gives you 1

KEEP: 180/12 because it helps solve for the x-value

NEW EQUATION: x = 180/12

SIMPLIFY IT!

x = 15

Therefore, your overall answer is: x = 15

The answer to your given question is:

12x + 0 = 180

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Make all of the +/-2 values into -3,+4

Step-by-step explanation:

This is because the x intercept values for a parabola are where the equation equals zero, by making the equations -3 and +4, the equations will give zero values at -4 and plus 3 when they are set equal to zero, I can specify further if need be.

Answer:

438/5 and some corn starch = 1 cup

so 87.6 of wheat flour cups for one cake flour cup

Step-by-step explanation:

1 cake flour=x

x=438/5

x=87.6 and some corn starch but it's not mentioned how much so we can just say 87.6 wheat flour cups for 1 cake flour.