After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have

The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.

So,

Equation I = (3x + y = 1) and

Equation II = (6x + 2y = 2)

= { 2(3x + y) = 2}

= 3x + y = 2/2

= 3x + y = 1

So, The given equations are 3x + y = 1 and 3x + y = 1.

Thus, there is one equation in two variables.

So, the given equations have an infinite number of solutions.

Answer:

1st option; 3x-y=-1

Step-by-step explanation:

-3x + y = 1

we can divide through by -1 so that the 'x' value is positive:

3x - y = -1

"4% probability of their passing on a hereditary disease to 3 of their children"

I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.

In case its the first one:

To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.

if the chance of having the disease is 0.04, then the chance of not having it is 0.96

for three children: 0.96*0.96*0.96

=  0.884736

to find the chance of this not happening:

1 - 0.884736

= 0.115264 ≈ 12%

there is a 12 percent chance at least one of the children will inherit the disease

In case its the second one:

the probability of all 3 children having the disease is 0.04,

the probability of 1 child getting the disease is unknown, x.

this means

x*x*x = 0.04

x ≈ 0.342

now we just basically repeat the steps above

1 - 0.342

= 0.658 (probability that one child does not get the disease)

0.658 * 0.658 * 0.658

= 0.284890312 (probability that all 3 children do not get the disease)

1 - 0.284890312

= 0.715109688 ≈ 72%

there is a 72 percent chance at least one of the children will inherit the disease

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

Answer: 12.25 ( each side )

Step-by-step explanation

Divide 49 by 4, which is 12.25

[tex]\huge\bold{\purple{\bold{⚡133°⚡}}} [/tex]

Step-by-step explanation:

Co interior angles' sum is 180°

Answer: 90

Step-by-step explanation:

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

Answer:

its 70/11 or 6.36

Step-by-step explanation:

Answer: I need the map good sir please show it

Step-by-step explanation:

Answer:

the expressions are: x + y = 43  and x - 13 = y

x = 28

y = 15

Step-by-step explanation:

hope this helps

may i get braineist pls

Answer:

Smaller is 18, larger is 25.

Step-by-step explanation:

x + y = 43

y = x - 7

x + (x - 7) = 43

2x - 7 = 43

2x = 50

x = 25 (larger)

25 - 7 = 18 (smaller)

The domain of the graph is  [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].

For the graph, the domain will be the values of the graph along the x-axis.

Learn more on domain and range here: https://brainly.com/question/1942755

Answer:

True

Step-by-step explanation:

Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.

Answer:

72°

Step-by-step explanation:

The diagonals of a parallelogram intersect at a point that forms the center of symmetry of the parallelogram.

Answer:

4:45

Step-by-step explanation:

hope this helps

Answer:

jeri drew a plgon with exatly three sides

Answer:

could you add the choices please

Step-by-step explanation:

it doesnt help without the choices

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

Answer:

  see attached

Step-by-step explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

Answer:

etra cheese

Step-by-step explanation:

mark me brainleist

=======================================================

Explanation:

The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.

We have:

The ratio of green to red to total is 70:50:162

To reduce the ratio, we divide all three parts of that ratio by the GCF 2

The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.

This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.

Answer:

207+ 364 = 571

Step-by-step explanation:

i guess?._.

Answer:

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

This answer is correct because I simplified using like terms.

Step-by-step explanation:

Subtracting Polynomials

They key to subtract, multiply, add, and divide polynomials is by using like terms. Like terms are values with the same bases. For example :

          [tex]ax^2[/tex]     and    [tex]2ax^2[/tex]    are like terms because they have the base  [tex]ax[/tex]

Step 1: Move like terms together

First, let's remove all parenthesis:

[tex](3x^2 + 9x-6)-(2x^2-4x^2+6x-4)\\\\= 3x^2+9x-6-2x^2+4x^2-6x+4[/tex]

Now let's move all like terms together:

[tex]3x^2+9x-6-2x^2+4x^2-6x+4= \\3x^2-2x^2+4x^2+9x-6x-6+4[/tex]

Step 2: Simplify

Now we can add and subtract the like terms like we do in any other problem

[tex]3x^2-2x^2+4x^2+9x-6x-6+4 = \\5x^2+3x-2[/tex]

Step 3: Explaining your answer

Just say: "This answer is correct because I simplified using like terms"

-Chetan K

Answer:

5.67

Step-by-step explanation:

The scale factor of the height of the image is 7.89.

The scale factor is defined as the proportion of the new image's size to that of the previous image.  The scale factor is the ratio of the actual size to the scaled size of the object.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.

The scale factor will be calculated as,

Scale factor = ( 30 / 3.8)

Scale factor = 7.89

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ2

Answer:

3.5

Step-by-step explanation:

the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so

78.6-4.7 which equals 73.9

the second part of the problem asks the difference between yesterday's low and today's.

we can take the two lows and subtraction them to find this answer.

77.4-73.9 which equals 3.5

so today's low was 3.5 degrees cooler than yesturdays

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

Answer:

C and E are the answers:)

Step-by-step explanation:

Hope this helps!

Answer- C,D, and E

If you plug in any number for those proplems you will get a different number a each side