I have a box of crackers that weighs 5.25 oz. if one serving of crackers is .15 ounces. How many servings are in the box?

Answer:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

Step-by-step explanation:

In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).

From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.

So, there are two ways in which we can build a quadratic equation:

Standard form:

[tex]y=ax^{2}+bx+c[/tex]

or

Vertex form:

[tex]y=a(x-h)^{2}+k[/tex]

Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)

So in this case: h=0 and k=5, which simplifies our equation a lot:

[tex]y=a(x-0)^{2}+5[/tex]

[tex]y= ax^{2}+5[/tex]

So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:

[tex]0=a(7)^2+5[/tex]

and now we can solve for a:

[tex]-5=49a[/tex]

[tex]a=-\frac{5}{49}[/tex]

so this completes our equation:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

whose graph looks like the one in the attached picture.

Answer:

∠1 = 36°

∠2 = 122°

∠3 = 122°

∠4 = 38°

Step-by-step explanation:

∠2 = 180°-58° (Supplementary angles add up to 180°)

    = 122°

∠2 = ∠3 (Vertically opposite angles are equal)

    = 122°

∠1 = 180°-122°-22° (Sum of angles in a triangle is 180°)

   = 36°

∠4 = 180°-122°-20° (Sum of angles in a triangle is 180°)

     = 38°

Answer:

20 quarts

Step-by-step explanation:

Five gallons is equal to 20 quarts.

I hope it helps.

Answer:

20 quarts

Step-by-step explanation:

in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)

Answer:

A

Step-by-step explanation:

The mode describes the most frequently occurring score or observation in a distribution. The tallest bar would describe the most frequently occurring score. Hence, the mode can be inferred directly from a histogram.

Hence, the frequency distribution or histogram could be used to directly deduce the mode of a distribution.

Learn more : https://brainly.com/question/16785562

Answer:

Step-by-step explanation:

147 x 23 = 3381

=>

Answer:

B: 3381

Step-by-step explanation:

147 X 23 = 3,381. if she drove 147 miles for 23 days that's 3381 miles in one month

answer is 10---- i think

Answer:

y = -2x + 170

Step-by-step explanation:

(30, 110)    (40, 90)                          y = mx + b

x1      y1     x2    y2                         90 = -2 (40) + b

90  -  110 =   -20   =  -2                 90 = -80 + b

40  -  30        10                           +80   +80

                                                     170 = b

really hope this helps :)

Step-by-step explanation:

2N+3N+4N=9N

9N=72

N=72/9

N=8 ANS

hope it helps!

.......

Answer:

16:24:32

Step-by-step explanation:

2+3+4 = 9

72÷9 = 8

One part of the ratio is therefore worth 8.

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

16:24:32

Answer:

We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).

Step-by-step explanation:

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]

Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.

The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:

[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]

*Use a t-table.

Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]

     [tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]

We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).

Answer:

(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)

Step-by-step explanation:

Answer:

0.6818

Step-by-step explanation:

Answer:

Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140  

Answer:

x=2

Step-by-step explanation:

move x to the 3x side and move 5 to 9 side.

you get 2x=4

then you divide 2 from both sides and get 2

Answer:

x=2

Step-by-step explanation:

•Original Expression;

3x+5=x+9

•Group like terms;

3x-x=9-5

•Simplify

3x-x

=2x

Then

9-5

=4

Which is going to be;

2x=4

•Divide both sides by 2 to find x

4 can be divided by 2 two times so;

x=2

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

Answer:

(-3,0), (1,0),(-5,0)

Step-by-step explanation:

Answer:

The answer to this question is C. 40.274.

Answer:

2688

Step-by-step explanation:

Answer:

Each student will get 1/6 liters of soda.

Step-by-step explanation:

In order to do this, we need to divide 1/2 by 3.

All we had to do is multiply 2 by 3.

1/6 is smaller than 1/2, and because 6 is 2 x 3, it's 3 times smaller, or less.

Therefore, each student will get 1/6 liters of soda.

Hope this helps! :D

Answer:

the line is inconsistent:)

Step-by-step explanation:

3.75 miles

2,5 ÷ 40 =

0.0625

0.0625 × 60 =

3.75

Hope I helped!!

The first table shows a proportional relationship between x and y.

A proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.

x             y

7            28

14           35

x               y

1               2

4               4

7                5

The first table shows a proportional relationship between x and y, for every value of x, y increases by almost 2 times.

Learn more about proportional relationship here: https://brainly.com/question/2575222

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

Answer:

y=2

Step-by-step explanation:

I think

it's been a while since I did functions

Answer:

the answer is y=2

Step-by-step explanation:

you add 8y+4y=12y

and then divide 12 on each side

which 24/12=2

Answer:

h=12

Step-by-step explanation:

first you want to isolate the variable. since you are subtracting 15, you wanna add fifteen to the 93 and cancel it out on the other side of the equation symbol. that equals 108. how since you are doing 9*h you divide on the opposite side of the equation so 108/9=12. the 9 cancels out meaning h=12

Answer:

30 is the answer

Step-by-step explanation:

i hope it help you

Answer:

30 is the correct answer

hope it helps u dear ❤

Answer:

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} - 5x - 20[/tex]

To find f(-9) , substitute the value of x that's - 9 into f (x). That is for every x in f(x) replace it with - 9

We have

[tex]f( - 9) = 2 ({ - 9})^{2} - 5( - 9) - 20 \\ = 2(81) + 45 - 20 \\ = 162 + 25 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 187 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer:

y = (1/2)x - 3

The slope is m = 1/2 and the y-intercept is (0, -3).

Step-by-step explanation:

Assuming that you meant 6y = 3x - 18, we solve this equation for y to obtain the slope-intercept formula y = mx + b for this particular case:

y = (3/6)x - (18/6), or

y = (1/2)x - 3

The slope is m = 1/2 and the y-intercept is (0, -3).

Answer:

You just have to divide 9 by 12 to get your answer of 75%

Answer:

75 %

Step-by-step explanation:

Simplify. 3 x 25 4 X 25 100 Write the numerator with a percent symbol. So, 75% of the midwestern states are affected by the drought.

Answer:

225

Step-by-step explanation:

3x5 is 15, 15 to the 2nd power is 225