students expect to sell between 275 and 300 hot dogs at a baseball tournament. How many packages of 12 hot dog and 8 buns should the students buy if they want every bun to have a matching hot dog

Step-by-step explanation:

but then you did already the most work.

because just think : when is the expression

(x+3)(x+2) equal to 0 ?

only, if at least one factor of the multiplication is equal to 0.

you know, for example, 5×0 = 0, or 0×3 = 0.

that means either (x+3) or (x+2) must be 0.

x + 3 = 0

x = -3

and

x + 2 = 0

x = -2

and there you have it.

a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.

and this one here has the 2 solutions

x = -3 and

x = -2

again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !

Answer:

see below

Step-by-step explanation:

1) 4, -3, -10, -17,...

d = -3 - 4 = -7 or -10 - (-3) = -7

Arithmetic , d = -7

2) 4, 8, 16, 32,...

d = 8 - 4 = 4, 16 - 8 = 8,

d is not same

so Not Arithmetic

3) 7, 12, 17, 22,....

d = 12 - 7 = 5 or 17 - 12 = 5 or 22 - 17 = 5

so Arithmetic, d = 5

Answer:

not sure about this question

Step-by-step explanation:

not sure about this question

Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

Answer:

Up up up up up up up up up up

[tex]\\ \sf\longmapsto y\propto \dfrac{1}{(x+1)^2}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{k}{(x+1)^2}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{k}{x^2+2x+1}[/tex]

#2

Put x=4

[tex]\\ \sf\longmapsto 2=\dfrac{k}{x^2+2x+1}[/tex]

[tex]\\ \sf\longmapsto 2x^2+4x+2=k[/tex]

[tex]\\ \sf\longmapsto 2(x^2+2x+1)=k[/tex]

[tex]\\ \sf\longmapsto x^2+2x+1=k[/tex]

[tex]\\ \sf\longmapsto 16+8+1=k[/tex]

[tex]\\ \sf\longmapsto k=25[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{25}{x^2+2x+1}[/tex]

#3

y=4

[tex]\\ \sf\longmapsto x^2+2x+1=\dfrac{25}{4}[/tex]

[tex]\\ \sf\longmapsto x^2+2x+1=25/4-1=21/4[/tex]

[tex]\\ \sf\longmapsto x(x+2)=21/4[/tex]

[tex]\\ \sf\longmapsto x=21/4\:or 13/4[/tex]

Answer:

13/15

Step-by-step explanation:

"Or" in probability means to add. Therefore, we would do 2/3 + 1/5:

First, we need a common denominator: 2/3 + 1/5 → 10/15 + 3/15 (I multiplied the first fraction by 5/5 and the second fraction by 3/3).

Now, we can add the numerators: 10/15 + 3/15 = 13/15.

Hope this helps!

Answer:

10 snow cones

Step-by-step explanation:

Number of snow cones needed

= $14.75 ÷$1.50

= 9.8333 (5 s.f.)

Rounding 9.8333 up to the nearest whole number would give us 10 snow cones. 9 snow cones would not be enough since he would be short of $1.25.

Thus, he needs to sell a minimum of 10 snow cones.

Answer:

The answer is 10 snow cones.

Step-by-step explanation:

14.75 divided by 1.50 = 9.833333. Of course, he needs to sell full snow cones so the answer is 10. (Hope it Helps)  :)

Answer:

-12 percent

Step-by-step explanation:

Where: 75 is the old value and 66 is the new value. In this case we have a negative change (decrease) of -12 percent because the new value is smaller than the old value.

Answer:

$186

Step-by-step explanation:

hourly wage: $10.50/hour

commission: 6%

5 hours + 9 hours = 14 hours

14 hours × $10.50/hour = $147

6% of $650 = 0.06 × $650 = $39

total: $147 + $39 = $186

Answer:

SAS triangle because a SAS stands for side angle side that's how u always know

Answer:

-5/2 & -10/3

Step-by-step explanation:

For -2 1/2

as a decimal : -3.3

mixed number:-3 1/3

exact form: -5/2

for -3 1/3

as a decimal :-3.3

mixed number:-3 1/3

exact form:-10/3

equation form: y = mx + b

where m is the slope, and b is the y-intercept.

slope = (y2 - y1) / (x2 - x1) = (13 -8) / (11 - 5) = 5/6

y = 5/8 x + b (replace x and y by 5 and 8)

=> 8 = 5/6 * 5 + b

=> 8 = 25/6 + b

=> b = 8 - 25/6 = 23/6

==> equation: y = 5/6 * x + 23/6

Answer:

The answer is 555900

Step-by-step explanation:

-2 + 2 - 3 + 32 + 958 - 545 + 555458 = 555900

Thus, The answer is 555900

-TheUnknownScientist 72

Answer:

555900

Step-by-step explanation:

Answer:

9x(3x-2) (3x+2)

Step-by-step explanation:

[tex]81x^{3}-36x[/tex]

9(9x³ - 4x)

9x(9x² - 4)

Since both terms are perfect squares factor using the difference of squares formula,  a² - b² = (a + b) (a - b)

Therefore, 9x(3x-2) (3x+2)

Answer:

81z^3-36z = 9z(3z-2)(3z+2)

Step-by-step explanation:

(81z^3-36z)=9z(9z^2-4)

9z(9z^2-4)=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

Answer:

The answer is E.

Step-by-step explanation:

I accidentally skipped c, but you can use the height of week 3 to solve for it.

Since the common height difference is 3 inches, the height for week 1= height of week 3-2(common difference)

Answer:

1 pound of gummy bears = $3.20

1 pound of jelly beans = $7.50

Step-by-step explanation:

1.8 pounds of gummy bears + 0.6 pounds of jelly beans

= $10.26

1.2 pounds of gummy bears + 1.5 pounds of jelly beans

= $15.09

2.5 × (1.8 pounds of gummy bears + 0.6 pounds of jelly beans) = 2.5 × $10.26

--> 4.5 pounds of gummy bears + 1.5 pounds of jelly beans = $25.65

(4.5 pounds of gummy bears + 1.5 pounds of jelly beans) - (1.2 pounds of gummy bears + 1.5 pounds of jelly beans) = 3.3 pounds of gummy bears

3.3 pounds of gummy bears

= $25.65 - $15.09

= $10.56

1 pound of gummy bears

= $10.56 ÷ 3.3

= $3.20

1 pound of jelly beans

= [$10.26 - ($3.20 × 1.8)] ÷ 0.6

= $4.50 ÷ 0.6

= $7.50

Answer:

$42.60

Step-by-step explanation:

(6/100)×710

= $42.60

Answer:

The required number is 70.

Step-by-step explanation:

let the no. be 10y + x where x is unit digit and y is ten's digit.

given , sum of the digit is 7

x + y = 7 ...(1)

also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.

given reversed digit decreases the number by 63 .

so, 10y + x - ( 10x + y ) = 63

9y -9x = 63

( dividing both side by 9 )

y - x = 7 ....(2)

adding 1 and 2 [ refer attachment ]

so the required original number is

10y + x = 10×7+0 = 70

Answer:

y=2x+7

Step-by-step explanation:

you would substitute so x=-2 and y=3

All lines parralel always have the same x so

y=2x-c (c means crossing point of y)

then substitute

3=(2x-2)-c

3=-4-c

c= +7

so just put in the equation and the answer is:

y=2x+7

Hope this helps!!

Answer: exact form: 7/5

Decimal form: 1.4

Mixed form: 1 2/5

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.

The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

The given equation is:

[tex]3x^3-5x^2-x+3[/tex]

To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]

When x = 4:

[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]

Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

Learn more here: https://brainly.com/question/25691329

miles had to work 4 hours to pay his phone bills and he had 1$ left over

Answer:

i dont know

Step-by-step explanation:

what question are you asking?

Answer:

AC

AB

BC

Step-by-step explanation: took it on edgeunity

Answer:

A fraction is essentially division, so 3/5 is the same as 3 ÷ 5

3÷5 = 0.6

[tex]5\sqrt{3\\[/tex]

(imagine the square root is the divsion thing)

5 cannot go into 3 so the answer is a decimal

then add a zero at the end of 3 to make 30

   0.

[tex]5\sqrt{30[/tex]

and 5 can go into 30, 6 times so you add a 6 to make 0.6

    0.6

[tex]5\sqrt{30[/tex]

Answer:

x = -5

y = -6

Step-by-step explanation:

5x - 6y = 11

-7x + 5y = 5

We could eliminate the 'y' by multiplying the first equation by 5 and the second equation by 6 to get the following:

5(5x - 6y) = 11(5)     → 25x - 30 y = 55

6(-7x + 5y) = 5(6)    → -42x + 30y = 30

Now we can add the two equations to get:

-17x = 85

x = -85/17 which is x = -5

Now we can plug in -5 into the first equation to solve for 'y':

5(-5) - 6y = 11

-25 - 6y = 11

-6y = 36

y = -6

CHECK:

-7(-5) + 5(-6) should equal 5

35 + (-30) = 5

5 = 5