Trina had 50 eggs. After using some of her eggs to make 12 batches of brownies, she has 14 eggs remaining. How many eggs did Trina use in one batch of brownies?

Let 3n + 1 denote the "number" in question. The claim is that

(3n + 1)² = 3m + 1

for some integer m.

Now,

(3n + 1)² = (3n)² + 2 (3n) + 1²

… = 9n² + 6n + 1

… = 3n (3n + 2) + 1

… = 3m + 1

where we take m = n (3n + 2).

Answer:

teal

Step-by-step explanation:

brown blue green and teal are the only eye colors out there

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

Answer:

34 lies in between 5 and 6

5^2=25, 6^2=36, so sqrt(34) lies between 5 and 6

Answer:

There are 8 - 1/8's in 1 (as, 8×1/8=1); and

There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).

Answer:

Shirt: $7.5

Sweater: $17.5

Step-by-step explanation:

25/2=12.5

Shirt is 5 less than Sweater

12.5-5=7.5

Add 5 to sweater cost

12.5+5=17.5

Shirt=7.5 Sweater=17.5

17.5+7.5=25

Answer:

B

Step-by-step explanation:

Answer: 5 classes.

Step-by-step explanation:

You can use the  rule to determine the number of classes for a frequency distribution.

The  rule says that  where

is the number of classes

is the number of the data points

We know that the number of data points is  = 20.

Next, we start searching for  so that we can get a number 2 to the  that is larger that the number of data points.

This suggests that you should use 5 classes.

Answer:

4. C: 98 degrees because the angles are consecutive angles

5. E: None of the above

Explanation: 102 degrees because the angles are corresponding angles

6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.

Step-by-step explanation:

Answer:

4. C, 5. E, 6. C

Step-by-step explanation:

4.

Angles x and 82 degrees are supplementary (add up to 180).

x = 180 - 82 = 98

These angles are consecutive interior angles (they're on the inside).

5.

Angles x and 102 degrees are the exact same.

These angles are corresponding angles. So it's none of these, not vertical or alternate interior.

6.

103 degrees is vertical to <b and <b is corresponding to <x.

Hope this helps!

The second option (5n)

["Product" is for multiplication]

Answer:

[tex]r=3.33 cm[/tex]

[tex]d_{a}=5 cm[/tex]

Step-by-step explanation:

Let's use the radius equation to a circle inscribed into a triangle.

[tex]r=\sqrt{\frac{(s-a)(s-b)(s-c)}{s}}[/tex]

[tex]s=\frac{a+b+c}{2}[/tex]

In our case a = 13 mc, b = 13 cm  and c = 10 cm

Then, s will be s = 18 cm

Then the radius will be:

[tex]r=\sqrt{\frac{(18-13)(18-13)(18-10)}{18}}=3.33 cm[/tex]

Now, the distance from the vertex to the nearest touchpont is given by:

[tex]d_{a}=\frac{1}{2}(a+c-b)=5[/tex]

This value is the same for each side.

I hope it helps you!

Answer:

y intercept is -4

x intercept is 2

Answer:

1

Step-by-step explanation:

Don't worry I just know

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2  

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15  

Atriangles = 30 cm^2

Ashaded = 25pi - 30

Answer:

B.

Step-by-step explanation:

Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

Answer:

Since f(n + 1) = f(n) - 3, we can also say that f(n - 1) = f(n) + 3.

By which we can say f(n - 3) = f(n) + 9

Since f(4) is 22, then f(1) must be 22 + 9, or 31.

Answer:

[tex]23.1\%[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are  grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are  grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be 11.1 grams of sugar and 48 total grams of content.

The concentration of sugar in the new mixture is [tex]\frac{11.1}{48}=\fbox{$23.1\%$}[/tex](rounded to one decimal place).

The concentration in the new mixture is 23.1%.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

Stefanie's 18-gram combination has 20% sugar. As a result, her syrup contains grams of sugar.

John's 30-gram combination contains 25% sugar. As a result, her syrup contains grams of sugar.

As a result, if they combine their syrups, there will be 11.1 grams of sugar and 48 total grams of the substance.

The new combination has a sugar percentage of 11.1/48 = 23.1%. (rounded to one decimal place).

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Answer:

3/3 = 1

Step-by-step explanation:

The slope formula is..

Pick two formulas. Let's do (-5, -2) and (-2, 1)

x1  y1   x2 y2

(-5, -2)   (-2, 1)

[tex]\frac{1-(-2)}{-2-(-5)}[/tex]    =   [tex]\frac{3}{3}[/tex]  = 1

It'll work the same thing for (-2, 1) and (1,4)...

3/3 or 1 is a pattern between the points.

There are 18 or 20 pigs if two had 1 missing leg

Multiply the chickens by 2 or adding it by the same number since chickens have 2 legs

87

+87

-------

174

After, minus 174 from 248

That is 74

Divide by 4

Note: Origin point = (0,0).

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Rewrite the equation by substituting m = 9/4 in the equation.

[tex]y = \frac{9}{4} x + b[/tex]

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]

[tex] \large \boxed{y = \frac{9}{4} x}[/tex]

Answer:

c is correct answer is yes

Answer:

D. 1/2 barrel/hour

Step-by-step explanation:

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

Answer: 340 children

a quarter is 1/4.

1,360 is the total number of children.

1,360 ÷ 4 = 340

Answer:

Step-by-step explanation:

50 percent of 39=

39/2=19.50

Answer: 136 ounces

Step-by-step explanation:

Given: The ratio of cranberries and raspberries is 8:9 .

Let quantity of cranberries= 8x , quantity of raspberries = 9x

If quantity of cranberries = 64 ounces

[tex]\Rightarrow\ 8x=64\\\\\Rightarrow\ x=\dfrac{64}{8}\\\\\Rightarrow\ x=8[/tex]

Quantity of raspberries = 9(8) = 72 ounces

Total quantity = 64 ounces  +  72 ounces =  136 ounces

Hence, the total weight of berries purchased=  136 ounces