Edith ordered 588 tomatoes for the produce section. if there are 84 per crate, how many crates will she receive?

Answer:

[tex]BC=26[/tex]

Step-by-step explanation:

Start with:

[tex]AB+BC=AC[/tex]

Since [tex]B[/tex] is the midpoint, we also know that:

[tex]AB=BC[/tex]

Knowing this, we can use a system of equations and substitute [tex]AB[/tex] for [tex]BC[/tex] in the equation we started with:

[tex]AB+AB=AC[/tex]

Let's identify our values:

[tex]AB=3x-1\\AC=8x-20[/tex]

Substitute:

[tex]3x-1+3x-1=8x-20[/tex]

Combine like terms:

[tex]6x-2=8x-20[/tex]

Add [tex]20[/tex] to both sides of the equation:

[tex]6x+18=8x[/tex]

Subtract [tex]6x[/tex] from both sides of the equation:

[tex]18=2x[/tex]

Divide by the coefficient of [tex]x[/tex], which is [tex]2.[/tex]

[tex]x=9[/tex]

Substitute [tex]9[/tex] into [tex]3x-1[/tex]

[tex]3(9)-1[/tex]

Solve:

[tex]AB=26[/tex]

Remember that [tex]AB=BC[/tex], thus:

[tex]BC=26[/tex]

Answer:

x=-9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 4x from both sides.

Step 4: Divide both sides by 4.

Answer:

The team scored 25 2-point goals and 5 3-point goals

Step-by-step explanation:

Here, we are interested in calculating the number of 3 points and 2 points goals scored by the team

let the number of two point goals be x while the number of three point goals be y

The total goal number is 30;

Hence;

x + y = 30 ••••••(i)

Also, the total point is 65

point of two points goals is 2 * x = 2x

points of three point goal is 3 * y = 3y

Adding both;

2x + 3y = 65 ••••••(ii)

So we have two equations to solve simultaneously.

From 1, x = 30 -y

Now substitute this into ii

2(30-y) + 3y = 65

60 -2y + 3y = 65

y = 65 -60

y = 5

x = 30 - y

x = 30-5 = 25

[tex]y = {x}^{2} + 4x + 3[/tex]

Answer:

T(n) = 1800 + 58n

Step-by-step explanation:

Rent reception = $1800

Charge per person = $58

Number of person who attend reception = n

Total cost = fixed cost + variable cost

Fixed cost = 1800

Variable cost = 58n

Total cost = T(n)

Total cost = fixed cost + variable cost

T(n) = 1800 + 58n

Answer:

Vertically opposite angles are angles that are formed opposite of each other when two lines intersect, and they are always equal.

Thus, Angle PBH is 118 degrees.

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

Finding the value of c:

[tex]3c+94=118[/tex]

Subtract 94 from both sides:

[tex]c+94-94=118-94[/tex]

[tex]3c=24[/tex]

Divide both sides by 3:

[tex]\frac{3c}{3}=\frac{24}{3}[/tex]

[tex]c=8[/tex]

Answer:

[tex]x=67.38^\circ[/tex]

Step-by-step explanation:

Use trigonometry

Recall that cos(x)=adjacent side/hypotenuse

You can remember this with SohCahToa

Also remember that if cos(x)=y then [tex]cos^{-1}(y)=x[/tex]

In this case, we know the adjacent side and hypotonous

Adjacent side=5000

Hypotenuse=13000

Therefore

[tex]Cos(x)=\frac{5000}{13000}=\frac{5}{13}[/tex]

Now to solve for x, take the inverse cosine

[tex]cos^{-1}(\frac{5}{13})=x=67.38^\circ[/tex]

Answer:

x=67.38

Step-by-step explanation:

I took the quiz and got it correct!

The correct option is Option C: the missing value is 12.

In directly proportionality, if one quantity increases then the other quantity also increases. if one quantity decreases then other quantity also decreases.

x ∝ y

⇒ x= ky

where k is proportionality constant.

Here the value x1, y1 is given by

x1=8

y1=6

as x1 is directly proportional to y1.

x1 = ky1

⇒8=6k

⇒k= 8/6

⇒k =4/3

If x3= 24 then x3 =ky3

⇒24=(4/3)y3

⇒y3= 24/(4/3)= 18 which is true from the table

Then given in the question x2=16

As x2 is directly proportional to y2.

x2 ∝ y2

⇒ x2 =ky2

where k= 4/3

⇒ 16 = (4/3)y2

⇒ y2= 16/(4/3)

⇒y2= 16*3/4

⇒y2= 12

The correct option is Option C: the missing value is 12.

Learn more about proportionality

here: https://brainly.com/question/24868934

#SPJ2

Answer:

GH = 17

Step-by-step explanation:

Given that H is the midpoint of segment GI, and GH = 5x + 2, HI = 9x - 10, GH is congruent to HI. This implies GH = HI.

Therefore:

[tex] GH = HI [/tex], which will give us the following equation:

[tex] 5x + 2 = 9x - 10 [/tex]

Solve for x

[tex] 5x + 2 - 9x = 9x - 10 - 9x [/tex] (subtracting 9x from each side)

[tex] -4x + 2 = -10 [/tex]

[tex] -4x + 2 - 2 = -10 - 2 [/tex] (subtracting 2 from each side)

[tex] -4x = -12 [/tex]

[tex] \frac{-4x}{-4} = \frac{-12}{-4} [/tex] (dividing both sides by -4)

[tex] x = 3 [/tex]

GH = 5x + 2

Plug in the value of x

GH = 5(3) + 2 = 15 + 2

GH = 17

Answer:17

Step-by-step explanation: trust me bro

Answer:

8

Step-by-step explanation:

6|+|−2|

=6+|−2|

=6+2

=8

Answer:

For 7x-9<12, the answer is x<3

For 14x+8>11, the answer is x>3/14

Step-by-step explanation: Isolate the variables by dividing each side by factors that do not contain the variable.

I hope this helps you out! :)

Answer:

11111/100000

Step-by-step explanation:

Good luck

Answer:

14.92

Step-by-step explanation:

you basically add them. just like normal numbers but add the decimal point.

Answer:

14.92

You need to do like this:

19.86

-4.94

--------

14.92

Answer:(

7 y − 3 ) ( 5 y + 4 )

Answer:

A: Infinite

B: One

C: No Solution

Step-by-step explanation:

The sides are the same. This means that the equation has infinite solutions.

The equation has one solution.

[tex]2x+7=2x\\\\2x-2x+7=2x-2x\\\\\boxed{7\neq 0}[/tex]

The final result is a contradiction. The equation has no solution.

Answer:

Does this help

Step-by-step explanation:

10 pieces would cost $30  

Mabey I am wrong

Answer:

volume = 0.30 m³

Step-by-step explanation:

GIVEN:

The area of the star shaped surface of this block is 1.2m^2.

The thickness of the block is 25cm.

FIND:

What is the volume of the block?

SOLUTION:

volume = area x length

where area = 1.2 m²;   length = 0.25 m

plugin values into the formula:

volume = 1.2 m² x 0.25 m

             = 0.30 m³

therefore, the volume of the star shaped block is 0.30 m³

Answer:

Convert to a simplified fraction by placing the numbers to the right of the decimal over  100 .

Reduce the fraction.

27 /50

Step-by-step explanation:

Answer:

27/50

Step-by-step explanation:

Take 54 and divide by 100 (54/100). The GCD of 54 is 2. When we divide the numerator and the denominator by 2 we get 27/50

Answer:

Number two

Step-by-step explanation:

it took the test

Answer:

696

Step-by-step explanation:

[tex]\frac{m}{8} = 87[/tex]

First I would multiply each side by 8 to find what M is (because if you multiple m/8 by 8 the 8s will cancel out).

[tex]m=87*8\\m = 696[/tex]

Because any number divided by 1 would just be itself, 696/1 is just 696.

Answer: m/1= 7.125 or 7.1 (rounded)

Step-by-step explanation:

if m/8=57 then m/1 multiplied by 8 would be 57 . so you do the opposite and divide 57 by 8.

Answer:

Options (A) and (D).

Step-by-step explanation:

Given expression is,

4x³ - 7x² - [tex]\frac{30}{y}[/tex] + 15

Characteristics of the give expression ,

Option (A).

Third term [tex]-\frac{30}{y}[/tex] of the expression is in the form a ratio.

True.

Option (B).

Entire expression is a difference.

False.

Option (C).

There are three terms.

False.

Option (D).

There are four terms in the given expression.

True.

Therefore, Options (A) and (D) will be the correct options.

It could be anything in reality. Do you need the zero's solved?Please specify the question properly.

ANS: 12,0,13

The first thing he has to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a " 1 " in front of the parentheses, to help them keep track of the minus sign. Here's what the subtraction looks like, when working horizontally.

Answer:

1/2

Step-by-step explanation:

Subtract 2x from both sides

Add 3 to both sides

Then divide both sides by 4

x = (1/2)

Answer:

area=108

Step-by-step explanation:

length times width

8x6=48

10x4=40

5x4=20

     ---------

   Add them all together   48+40+20 =108

Answer:

1. C

2. A

Step-by-step explanation:

Step 1: Write equation

3x - 1 = 7

3x = 8

Step 2: Use 1st equation and solve

3x = 8

x = 8/3

Step 3: Use 2nd equation and solve

3x = 8

x = 8/3

Both equations have equivalent solutions and the 2nd equation is the simplified version of the 1st.

Answer: C

Step-by-step explanation:

30 km/s x 60 = 1800 (1 minute)

1800 x 60 = 10800 (1 hour)

Answer:

C.  108,000 km

Step-by-step explanation:

use distance = velocity x time

30  km x 3600 sec  x  1 hr

      sec         1 hr

= 108,000 km

Answer:5 to the power of -3 is 5 times-5=-25 times -25= 125 times -5 = -625

Step-by-step explanation: