At a chili festival over the past few years , restaurant a won 56 out of 98 contest. Restaurant b won 84 out of 147 contests. Which restaurant has the better record? what decimal represents the wins for restaurant a ? what decimal represents the wins for restaurant b?

Using proportions, the amount of acres that each children will be is given by:

9 and 4/5 acres.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem 49 acres will be split evenly across 5 children, hence the amount that each will get is:

A = 49/5.

The quotient of 49 and 5 is of 9 with a remainder of 4, hence as a mixed number, the amount is:

9 and 4/5 acres.

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Answer:

See below :)

Step-by-step explanation:

We know that these traingles are all similar. We can see the angle NMK is 60 degrees so we also know that JNK is 60 degrees. Now we know that all of the triangles are 30-60-90 triangles. JN is 3, so from the "leg opposite to 30 degree theorem", we know that NK is two times JN which is 6. Then from the same theorem, we know that NM is NK divided by the square root of 3

[tex]\frac{6}{\sqrt3}[/tex]

We can't have fractions that have irrational numbers in the denominator of a fraction so we multiply it by root3 over root3

[tex]\frac{6}{\sqrt3}[/tex] * [tex]\frac{\sqrt3}{\sqrt3}[/tex]

This then makes it 6 times root 3 over 3

[tex]\frac{6\sqrt3}{3}[/tex]

We then get [tex]2\sqrt{3}[/tex]

Answer:

C (x = 2)

Step-by-step explanation:

Since x is a non-negative number, A and B are eliminated.

This leaves C and D.

C: x = 2,

2 + 3 < 2^2

5 < 4 is false.

So C would be a counterexample.

Hope this helps!

The value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that x is a non-negative number, a student conjectured that x + 3 < x².

Since x is a non-negative number, A and B are eliminated.

This leaves C and D at the value of x = 2,

2 + 3 < 2²

5 < 4 is false.

Therefore, the value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.

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Answer:

X 2 + Y 2 − 6 x + 8 y = 7

Step-by-step explanation:

Answer:

consecutive = x+x+2

x+x+2 = 4x-20

2x+2=4x-20

2=2x-20

22=2x

x=11

Numbers are 11,13.

Hope this helps plz hit the crown :D

When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

Linear equations are generally represented in the form

y = mx + c

The y-intercept is the point at which the graph touches the y - axis

In the question, we are given an equation f(h) = 8h + 10

The slope and y - intercept here are 8 and 10 respectively.

However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.

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Answer:

[tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.

Step-by-step explanation:

Diameters of the belt produced are given in fractions which can be converted to decimals to know their values.

Thus,

1 3/2 in. = [tex]\frac{5}{2}[/tex] in. = 2.5 in.

7/16 in. = 0.4375 in.

3/4 in. = 0.75 in.

5/8 in. = 0.625 in.

1 5/16 in. = [tex]\frac{21}{16}[/tex] in. = 1.3125 in.

Arranging the vales from least to greatest, we have;

0.4375 in., 0.625 in.,0.75 in., 1.3125 in., 2.5 in.  = [tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.

Answer:

9/7

Step-by-step explanation:

-24/35 ÷ -8/15

=-24/35 × -15/8

=9/7

Answer:

9/7

Step-by-step explanation:

when dividing with a fraction, the -8/15 reciprocates to 15/-8. Then, -8 cancels out -24 remaining with 3 since they are both negative while 15 and 35 have a common of 5 giving them a remainder of 3 and 7 respectively. you then multiply what you have which is 3/7 * 3/1 giving you 9/7.

Answer:

step 2

Step-by-step explanation:

Mark didnt do 5×5

Answer:

12

Step-by-step explanation:

Answer: 82:73

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?

Answer:

Slope is given by the equation y=mx+b,

Step-by-step explanation:

Answer:

3, by 100 times

Step-by-step explanation:

a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.

Answer:

1/2

Step-by-step explanation:

When you have two points you need to use the slope formula:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_1}[/tex]

x1 and y1 is the first point and x2 and y2 is the second point, remember that the first number is X and the other is Y so...

[tex]m=\frac{5-4}{3-1} \\m=\frac{1}{2}[/tex]

1/2 is the slope of the points

Answer: Choice A)

[tex]H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]

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

Work Shown:

[tex]SA = 2(LW + LH + HW)\\\\2(LW + LH + HW) = SA\\\\LW + LH + HW = \frac{SA}{2}\\\\LH + HW = \frac{SA}{2} - LW\\\\H(L + W) = \frac{SA}{2} - LW\\\\H = \frac{\frac{SA}{2} - LW}{(L + W)}\\\\H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]

This is not the only way to solve for H.

Answer:

its a and d

Step-by-step explanation:

70+4+.05+.002

4x - (x + 1) < 5x - 7

4x - x - 1) < 5x - 7

3x - 5x < -7 + 1

-2x < -6

2x > 6

x > 3

Answer:

<1 = <5 ( because it is a corresponding angle and corresponding angles are always equal )

hope this answer will help you

have a great time

Answer:

The corresponding angles

Step-by-step explanation:

A proof for angle1=angle5

<1=<5

this rule is called

The corresponding angles

when 2 lines are crossed by another line this line is called transversal

when 2 lines are both parallel corresponding angles are congruent.

If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Meaning If <1=<5 then, n||p

I put out a pdf to help you out

Brainliest please.

Answer:

13 cups

Step-by-step explanation:

1.5 pint=  3 cups

8 fluid ounces = 1 cup

4 bottles of milk with 1.5 pint each= 3x 4= 12 cup

8 fluid ounces of strawberry syrup= 1 cup

12+1=13 cups

Answer:

(x + 7) (x + 7)

Step-by-step explanation:

What's the square root of x^2?

That's x

What's the square root of 49

That's 7

And what makes 14?

7 + 7 = 14

So therefore the answer is (x + 7) (x + 7)

Easy Kevin Durant is so smart!

Answer:

The middle number is 14 and the last number is 49.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 14

Multiply together to get 49

Can you think of the two numbers?

Try 7 and 7:

7+7 = 14

7*7 = 49

Fill in the blanks in

(x+_)(x+_)

with 7 and 7 to get...

(x+7)(x+7)

Answer:

(x+7)(x+7)

Let's list what we know.

We know 6 + d is the same as 21

We can use this.

6+d=21

Subtract 6 from both sides

d=15

So d=15

Answer:

21-6=15

Step-by-step explanation:

That helps weigh it down

Answer:

Step-by-step explanation:

11.75 is x and 7.00 is y so the total should be $18.75 so there you go your answer

Answer:

erer

Step-by-step explanation:

rerrrrrr