A school is looking to cater an event by having a food truck. Food truck A will charge $1.50 for each item sold and a fee of $50 to come to the school. Truck B will charge $2.75 per item but will not charge a fee to come to the school. How many items must the school purchase to have the cost of these two trucks be the same? Enter in your numerical answer.

Answer:

Area = 18 Sq.units

Step-by-step explanation:

From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units

Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.

Let the diagonal be c. Thus;

c = √(10² + 6²)

c = √(100 + 36)

c = √136

Let length of the horizontal part of the blue area be "b". Thus, b = 6 units

Let the other part of the triangle be a. We can find a from pythagoras theorem.

a = √(4² + 6²)

a = √(16 + 36)

a = √52

Using hero's formula, we can find the area of the triangle;

Area = √(s(s − a)(s − b)(s − c))

Where s = (a + b + c)/2

s = (√52 + 6 + √136)/2

s = 12.4365

Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))

Area = 18 Sq.units

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

Answer: this is equal to √(3x²/12) = √(x²/4) = x/2

Step-by-step explanation:

Answer:

C.) 1/3

Step-by-step explanation:

Answer:

[tex]x^{(\frac{1}{5})}[/tex]

Step-by-step explanation:

The expression [tex]\sqrt[x]{y^z}[/tex] can always be be written as its exponential form compatriot [tex]y^{(\frac{z}{x})}[/tex].

Answer:

Transaction fee is $1.95 approximately.

Step-by-step explanation:

Let the jewellrey costs $x before transaction fee.

So, we can set up equation for the given information as

x + 4% (x) = 50.75

Convert 4% to decimal by dividing it by 100.

x + 0.04 x=50.75

Simplify the left side of the equation.

1.04 x= 50.75

Divide both sides by 1.04

x= $48.7980..

So, transaction fee = 4% (48.7980)=$1.95 approximately.

9514 1404 393

Answer:

  (a)  (6a - 3a) + (-3+6)

Step-by-step explanation:

Assuming "properly grouped" means that parentheses are placed around each group of terms, the appropriate choice is the one that groups 'a' terms and constant terms:

  (6a - 3a) + (-3 + 6)

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Answer:

0.25

Step-by-step explanation:

1.2 divide by 4.8=0.25

0.25*4.8=1.2

5 = .25

4.8 x .25 = 1.2

Answer:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Step-by-step explanation:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Answer:

[tex]2x+y=11[/tex]

Step-by-step explanation:

Standard form of an equation is written as [tex]ax+by=c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].

Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Plugging in all given values in the problem ([tex]m=-2[/tex], [tex]x=4[/tex], and [tex]y=3[/tex]), we can solve for [tex]b[/tex]:

[tex]3=-2(4)=b, \\b=11[/tex].

Therefore, our equation in slope-intercept form is:

[tex]y=-2x+11[/tex].

Rewriting in this in standard form, we get our answer:

[tex]\fbox{$2x+y=11$}[/tex]

Answer:

3 i think..

Step-by-step explanation:

lol  i just added and then multiplied then divided..

Answer:

55 special dinners

Step-by-step explanation:

From the question,

Last month rudys tacos sold 22 dinner specials.

The next month they sold 250% of last months dinners.

Hence:

250% × 22 special dinners

= 55 special dinners

The number of dinner specials they sold this month is 55 special dinners

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

Answer:

I believe it would be 75% or 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Answer:

The total prize money for the competition is $1750

Step-by-step explanation:

Let us solve the question

→ The golf club runs a competition

∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5

∵ The 1st prize is $500 more than the 2nd prize

∴ The difference between the 1st prize and the second prize = $500

→ Find the difference between the terms of the ratio

∴ The difference in the terms of the ratio = 9 - 5 = 4

→ By using the ratio method

→  1st   :   2nd   :   difference

→  9     :   5       :   4

→  x     :   y        :   500

→ By using the cross multiplication

∵ x × 4 = 9 × 500

∴ 4x = 4500

→ Divide both sides by 4 to find x

∴ x = 1125

∴ The 1st prize is $1125

∵ y × 4 = 5 × 500

∴ 4y = 2500

→ Divide both sides by 4

∴ y = 625

∴ The 2nd prize is $625

∵ The total prize = 1st prize + 2nd prize

∴ The total prize = 1125 + 625

∴ The total prize = 1750

∴ The total prize money for the competition is $1750

Answer:48miles

solution on the picture

if it's helpful ❤❤❤

THANK YOU

Answer:

A

Step-by-step explanation:

rod is closest at 3m change

judy is medium at 7 m change

nelda is deepest at 9m change

The first term will be an x because

x squared breaks down as x times x.

First look for factors of your constant that add to your

coefficient of the middle term in the trinomial.

Also note that the constant is negative and a negative

factors as the product of a positive and a negative.

The factors of -20 that add to -8 are -10 and +2.

So we have y = (x - 10)(x + 2).

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Answer:

  B(10, 2)

Step-by-step explanation:

The division by point C means ...

  B -C = 2(C -A)

  B = 3C -2A . . . . . add C and simplify

  B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6))  . . . .  fill in the coordinate values

  B = (6+12, 12-12)

  B = (18, 0)

Answer:

2/7

Step-by-step explanation:

on Saturday, the family drove 2/7 of the total distance

distance remaining after Saturday's trip = 1 - 2/ 7 = 5/7

On Sunday, they drove 2/5 of the remaining distance = [tex]\frac{2}{5} x \frac{5}{7} = \frac{2}{7}[/tex]

Answer: 24.5 inches

Step-by-step explanation:

Luca used 587.19 inches for 35 players and 2 coaches:

= 35 + 2

= 37 people.

The inches per person used for headband is:

= 587.19/37

= 15.87 inches

Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:

= 302.05/35

= 8.63 inches

Fabric used for each player is therefore:

= 15.87 + 8.63

= 24.5 inches

Answer: 5 units

Step-by-step explanation:

The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.

This can be calculate using the Pythagoras rule:

c² = a² + b²

c is the hypothenuse.

a in the triangle = base = 4 units

b = height = 3 units

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

c = 5 units

Answer:

wait i'm tho lol

Step-by-step explanation:

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27