Find an equation of the line perpendicular to Y equals 3X -3 and passes through the point -3 and -1

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Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

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20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

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If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

Answer:

distribute property

Step-by-step explanation:

5 is distributed into the parentheses.

5 × x = 5x

5 × (-7) = -35

5x - 35 = 55

Hope that helps.

The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.

Product is the output of the mathematical operation Multiplication.

The Step 1: 5 (x minus 7) = 55.

Step 2: 5 x minus 35 = 55

In step 2 Distributive property is used to solve the expression.

According to Distributive property

The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.

a ( b+c) = a*b + a*c

5 (x -7) = 55.

5x - 35 = 55

Therefore, the distributive property is used.

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Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

Answer:

Solution set include (1,5), (1,4)

Step-by-step explanation:

To solve, you would have to graph both lines, and shade, the sections that are applicable. For Example is if it tells you the 2x+y is less than or equal to 8, you would shade it.

The Solution set would be anything in the overlapping area between both line's shades.

the answer is in the attachment

Hope it helps

Answer:

Step-by-step explanation:

The discriminant tells you where the graph of the parabola goes through the x-axis, if at all. If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis; if the discriminant is positive the parabola will go through the x axis in 2 places; if the discriminant is 0 the parabola will touch the x-axis in 1 place. Our discriminant is 0 since the parabola only touches the x-axis but does not go through.

Hoped that I helped you :)

Answer:

Step-by-step explanation:

Answer:

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

Let, x = number of orchid bunches & y = number of rose bunches.

Therefore, 25x + 30y = 390 ⇒⇒ Equation 1  

she sells 4 times as many orchid bunches as rose bunches,

Therefore,  x = 4y  ⇒⇒ Equation 2

25 × (4y) + 30y = 390  

100y + 30y = 390

130y = 390  ⇔ y = 390 / 130 ⇒ 3  

if y = 3, then x = 4y must be equal to x= 12.

Thus, she sold 12 orchid bunches and 3 rose bunches.

Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.

Answer:

3/4 × 7/15 =7/20

just multiplication

Answer: -10 :))))

i hope this helps

Answer:

Its A

Step-by-step explanation:

Its A

Answer:

the answer is 38 minutes

Answer:

18

Step-by-step explanation:

Complete question is;

The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.

Answer:

Shortest side = 7 inches

Side 2 = 13 inches

Side 3 = 13 inches

Step-by-step explanation:

We are told that;

Triangle is isosceles

The shortest side is 2x - 3 inches

The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;

Side 2 = side 3 = 2x - 3 + 6 = 2x + 3

Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;

(2x - 3) + 2x + 3 + 2x + 3 = 33

6x + 3 = 33

6x = 33 - 3

6x = 30

x = 30/6

x = 5

Thus;

Shortest side = 2(5) - 3 = 7

Other 2 sides are each; 2(5) + 3 = 13

The answer is:

5.1 x [tex]10^-4[/tex]

Answer:

Therefore, lowest rationalizing factor is ( 7 + √7 ).

Step-by-step explanation:

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Answer:

5 - [tex]\sqrt{7}[/tex]

Step-by-step explanation:

To rationalise the factor multiply by the conjugate factor

The conjugate of 5 + [tex]\sqrt{7}[/tex] is 5 - [tex]\sqrt{7}[/tex] , then

(5 + [tex]\sqrt{7}[/tex] )(5 - [tex]\sqrt{7}[/tex] ) ← expand using FOIL

= 5² - ([tex]\sqrt{7}[/tex] )²

= 25 - 7

= 18

Answer:

8x + 17

Step-by-step explanation:

4(2x- 1) + 3(2 + 5)

=4*2x - 4*1 + 3*7

=8x - 4 +21

=8x + 17

Answer:

Only for question 1

Step-by-step explanation:

The answer is

When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all

Answer:

Concurrent as my perception

Answer:

$14

Step-by-step explanation:

Let Joe have $x

Then Nate would have $(x-5)

They both have $(x + (x-5)  which is equal to $43

                           $(x + x -5) = $43

                           $2x - $5 = $43

                            $2x = $(43 - 5)

                           $2x = $38

Divide both sides by $2

                               x = 19 (Joe has $19)

:. Nate has $(19 - 5) = $14.

Nate have 24 dollars.

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Suppose that Jo has x dollars of amount, and

Nate has y dollars of the amount

Given that Jo had $5 more than Nate and together they had $43

x + 5 = y  ,

x + y = 43,

Substitute the value of y in the equation x + y = 43,

x + 5 + x = 43

2x = 43 - 5

2x = 38

Divide both sides by 2

x = 19

Now substitute the value of y = 19 in the equation x = y +5,

So, y = 19 + 5

y = 24

Hence, Nate have 24 dollars.

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Answer:

It is the first option

Step-by-step explanation:

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

Answer:

0,025

Step-by-step explanation:

simply devide by 100,2,5% is out of 100%

Answer:

1/12

Step-by-step explanation:

i belive this is the answer

Answer:

3.45×10^-6

Step-by-step explanation:

Crea el decimal usando los últimos 3 números: 3.45

Multiplica por 10 a la negativa potencia del número de ceros: 10^-6

Answer:

i think it is A

Step-by-step explanation:

Answer:

its A between -9 and -10

Step-by-step explanation:

Given:

The figure of a circle O.

To find:

The value of x.

Solution:

First, label some points on the given figure as shown below.

In triangle BOC,

[tex]OB=OC[/tex]                 (Radii of same circle)

It means [tex]\Delta BOC[/tex] is an isosceles triangle and the base angles of an isosceles triangles are congruent. So,

[tex]\angle OBC\cong \angle OCB[/tex]

[tex]m\angle OBC=m\angle OCB[/tex]

[tex]75^\circ=m\angle OCB[/tex]

In triangle [tex]\Delta BOC[/tex],

[tex]m\angle BOC+m\angle OBC+m\angle OCB=180^\circ[/tex]          (Angle sum property)

[tex]m\angle BOC+75^\circ+75^\circ=180^\circ[/tex]

[tex]m\angle BOC+150^\circ=180^\circ[/tex]

[tex]m\angle BOC=180^\circ-150^\circ[/tex]

[tex]m\angle BOC=30^\circ[/tex]

Now,

[tex]m\angle BOC=m\angle BOC+m\angle COD[/tex]

[tex]m\angle BOC=30^\circ+94^\circ[/tex]

[tex]m\angle BOC=124^\circ[/tex]

Using the central angle theorem, we get

[tex]m\angle BAD=\dfrac{1}{2}\times m\angle BOD[/tex]

[tex]x=\dfrac{1}{2}\times 124^\circ[/tex]

[tex]x=62^\circ[/tex]

Therefore, the correct option is B.

Answer:

129

Step-by-step explanation:

[tex]\frac{5^{4} }{5} +4[/tex]

[tex]\frac{625 }{5} +4[/tex]

[tex]125 +4[/tex]

129