6. You have $20.00 to spend. How many different food/drink combinations could you have?
List some of the combinations. Use the space on this page to show your work.
Food/Drink Item
Price
Fries
$2.75
Hot Dog
$1.75
Hamburger
$2.15
Cheeseburger
$2.25
Soda
$1.25
Ice Cream
$1.50
Cookies (3)
$1.00
Water
$1.00

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder. In this case we have to:

Remainder: 20

Quotient: 3x-9

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

Answer:

See attached image

Answer:

Step-by-step explanation:

[tex]x^2-25=x^2-5^2\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-5)(x+5)\\\\x^2-25=0\to(x-5)(x+5)=0\iff x-5=0\ \vee\ x+5=0\\\\x-5=0\qquad\text{add 5 to both sides}\\x=5\\\\x+5=0\qquad\text{subtract 5 from both sides}\\x=-5[/tex]

The triangle that seems to be congruent to the given one is triangle EFA.

Here's why:

Both triangles have three straight sides.
Both triangles have the same angles at corresponding vertices. For example, the angle at vertex E in triangle EFA is congruent to the angle at vertex A in the given triangle, and the angle at vertex F in triangle EFA is congruent to the angle at vertex C in the given triangle.
The corresponding sides of the triangles have the same lengths. For example, side EF in triangle EFA is congruent to side AC in the given triangle, and side FA in triangle EFA is congruent to side CB in the given triangle.
Therefore, based on the properties of congruence, triangle EFA is congruent to the given triangle.

Answer:

B) As the age increases, the height increases.

Step-by-step explanation:

There is a clear trend that is shown with a positive slope. That means that the the variables, here, the age and the height, are directly proportionate to each other. That means our answer is B or D.

Another note is that in a situation like this, the y-variable is dependent on the x-variable. So, here, that means that the height depends on the age. So, the answer is B, since in a sentence structure like so indicates that the second variable is dependent on the first.

Answer: the answer is b

Step-by-step explanation:

can you rate me good

Answer:

[tex]\sqrt{2^5}[/tex]

Step-by-step explanation:

[tex]2^{1/2}[/tex] × [tex]2^{3/4}[/tex] = [tex]2^{5/4}[/tex]

([tex]2^{5/4}[/tex])² = [tex]2^{5/2}[/tex] = [tex]\sqrt{2^5}[/tex]

Answer:

[tex]\large\boxed{\sqrt{2^5}}[/tex]

Step-by-step explanation:

[tex]\bigg(2^\frac{1}{2}\cdot2^\frac{3}{4}\bigg)^2\qquad\text{use}\ a^n\cdot a^m\\\\=\bigg(2^{\frac{1}{2}+\frac{3}{4}}\bigg)^2\qquad\left/\dfrac{1}{2}+\dfrac{3}{4}=\dfrac{1\cdot2}{2\cdot2}+\dfrac{3}{4}=\dfrac{2}{4}+\dfrac{3}{4}=\dfrac{5}{4}\right/\\\\=\bigg(2^\frac{5}{4}\bigg)^2\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{\frac{5}{4}\cdot2}\\\\=2^{\frac{5}{2}}\qquad\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\=\sqrt{2^5}[/tex]

Answer:

[tex]f(n)=-2\cdot f(n-1)[/tex], where f(1)=3

Step-by-step explanation:

The given sequence is; 3, –6, 12, –24, 48, …

The first term of this sequence is

[tex]f(1)=3[/tex]

There is a common ratio of [tex]r=\frac{-6}{3}=-2[/tex]

We can actually use any other two consecutive terms in the sequence to obtain the common ratio.

The recursive formula is given by:

[tex]f(n)=r\cdot f(n-1)[/tex]

We plug in the common ratio to get:

[tex]f(n)=-2\cdot f(n-1)[/tex], where f(1)=3

Answer:

The answer is C

Step-by-step explanation:

Answer:

~x->~y

Step-by-step explanation:

Inverse of a conditional p->q is not p->not q

So inverse of x->y is ~x->~y

Answer:

The correct option is A.

Step-by-step explanation:

The given statement is

[tex]x\Rightarrow y[/tex]

We need to find the inverse of the given statement.

If a and b are two statements, then

Direct statement : [tex]a\Rightarrow b[/tex]

It means if a is true then b is true.

Inverse statement :  [tex]\sim a\Rightarrow \sim b[/tex]

It means if a is false then b is false is true.

The inverse of given statement is

[tex]\sim x\Rightarrow \sim y[/tex]

Therefore the correct option is A.

Answer:

71

Step-by-step explanation:

Answer: 107

Step-by-step explanation:

Hi, to answer this we have to write an equation for  Colin's score (C) and another equation for Brian's score (B).

Colin scored 36

C =36

Brian scored 35 more than Colin.

B = C +35

Replacing C by 36 in Brian's score equation:

B = (36) +35 = 71

To calculate the combined score we have to add both scores:

C +B = 36 +71 = 107

Answer:

1

Step-by-step explanation:

[tex] ln4x = 2 ln8 \div 2 \\ ln4x = ln4 \\ x = 1[/tex]

Hope it helps you...☺

Answer:

x = 2

Step-by-step explanation:

Using the rules of logarithms

• log [tex]x^{n}[/tex] ⇔ n logx

• log x = log y ⇒ x = y

Given

2 ln 4x = 2 ln 8

ln (4x)² = ln 8²

ln 16x² = ln 64, hence

16x² = 64 ( divide both sides by 16 )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

Answer:

-3

Step-by-step explanation:

I'm going to find both equations first.

Slope for line l can be found by doing

 (1  ,  3)

- (2 ,  5)

-------------

  -1      -2          so slope is -2/-1 or just 2

y=mx+b is a linear equation with slope m and y-intercept b

y=2x+b  now we need b

3=2(1)+b  plug in a point on the line

3=2+b

so b=1

The equation for line l is y=2x+1

The other equation line m has the slope given which is 1 so this equation will be of the form y=1x+b

to find this b (this y-intercept) use the point that you know is on the line

4=1(1)+b  

so b=3

so line m is y=1x+3 or y=x+3

So we want to find when y=2x+1 and y=x+3 intersect

Replace first y with the 2nd y which is x+3

x+3=2x+1

subtract x on both sides

  3= x+1

subract 1 on both sides

 2=x

 x=2

y=2x+1

y=2(2)+1

y=4+1

y=5

So the intersection is (2,5)

So a=2 and b=5

a-b =2-5=-3

Lines l and m intersect at point (2, 5)

The equation of a straight line is given by:

y = mx + b;

where y,x are variables, m is the slope of the line and b is the y intercept.

Line l passes through the points (1, 3) and (2, 5), hence its equation is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1 )\\\\y-3=\frac{5-3}{2-1}(x-1)\\\\y-3=2x-2\\\\2x-y=-1[/tex]

2x - y = -1    (1)

Line m passes through point (1, 4) and has a slope of 1, hence:

[tex]y-y_1=m(x-x_1)\\\\y-4=1(x-1)\\\\x-y=-3[/tex]

x - y = -3     (2)

To determine point (a, b) we solve equation 1 and 2 simultaneously to get:

x = 2, y = 5

Hence lines l and m intersect at point (2, 5)

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sales tax alone = 0.99, 2.06, 16.5, 1237.5 for the items

Answer:

C. 320

Step-by-step explanation:

According to it's formula, the intensity when [tex]l = 10^{32}[/tex] is of 440 db.

The intensity of a sound l is given by:

[tex]L(l) = 10\log{\left(\frac{l}{l_0}\right)}[/tex]

In which [tex]l_0 = 10^{-12}[/tex] is the threshold of a hearing intensity.

In this problem, we have that the sound is of [tex]l = 10^{32}[/tex], hence:

[tex]L(l) = 10\log{\left(\frac{10^{32}}{10^{-12}}\right)} = 10\log{10^{44}} = 10 \times 44 = 440[/tex]

Hence, the intensity of the sound is of 440 db.

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Answer:

[tex]x = \frac{7}{9} [/tex]

Step-by-step explanation:

[tex]9x + 4 = 11 \\ \\ 1. \: 9x = 11 - 4 \\ 2. \: 9x = 7 \\ x = \frac{7}{9} [/tex]

Answer with explanation:

The given equation in one variable is:

→  9 x +4 =11

Subtracting 4 from both sides

→9 x +4 -4=11 -4

→ 9 x=7

Taking log on both sides

→log ( 9 x)= log 7-----log having base 10 is considered.

→ log 9  + log x= log 7

→ 0.95424 + log x= 0.8450

→ log x=0.8450 - 0.9542

→ log x= -0.1092

[tex]\rightarrow\frac{\log x}{\log 10}=-0.1092\\\\\rightarrow \log x=-0.1092 \times \log 10\\\\\rightarrow \log x=\log 10^{-0.1092}\\\\\rightarrow x=10^{-0.1092}\\\\\rightarrow x=0.77767\\\\x=0.778[/tex]

Answer:

Oak tree is 33 ft tall.

Step-by-step explanation:

We know that Irene places a mirror on the ground and walks backwards such that the mirror is in between her and the oak tree (as shown in the attached picture).

Given the distance of Irene's eyes from ground, distance between oak tree and mirror and distance between mirror and Irene, we are to find the height of the tree.

For this, we will use the ratio method:

[tex]\frac{T}{24} =\frac{5.5}{4}[/tex]

T = 33 ft

Answer:

The value of m is 3

Step-by-step explanation:

we have

[tex]x^{2}+mx+n=0[/tex]

step 1

Find the value of n

For x=0

[tex]0^{2}+m(0)+n=0[/tex]

[tex]n=0[/tex]

step 2

Find the value of m

For x=-3

substitute

[tex]x^{2}+mx=0[/tex]

[tex](-3)^{2}+m(-3)=0[/tex]

[tex]9-3m=0[/tex]

[tex]3m=9[/tex]

[tex]m=3[/tex]

Answer:

two

Step-by-step explanation:

Two

x - 1 = 0

x = 1

x + 3 = 0

x = - 3

You can see them for your self. The roots are the points where the graph cuts the x axis.

(1,0) and

(-3,0)

Answer:

If a parallelogram has at least one 90 degree angle then its opposite angle is equal and also = 90 degrees.  

The 2 remaining opposite angles add up to 180 degrees and since they must be equal, they must be 90 degrees each.

So, we have a quadrilateral with four 90 degree angles and is therefore a rectangle OR it could possibly be a square.

Step-by-step explanation:

Answer: one right angle property

First you need know that AB = DC and AD = BC.

So,

3y - 2 = y + 6

2y = 8

y = 4

AB = 3(4) - 2 = 12 - 2 = 10

2x - 4 = x + 12

x = 12 + 4

x = 16

BC = 16 + 12 = 28

So your answer is:

AB = 10; BC = 28

The lengths of line segments AB = 10 and BC = 28.

The opposite sides of a parallelogram are congruent,

AB = DC,

3y - 2 = y + 6

subtract y from both sides, then we get

2y - 2 = 6

adding 2 to both sides

2y = 8

Dividing both sides by 2, then we get

y = 4

Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10

and AD = BC, that exists

2x - 4 = x + 12

subtract x from both sides

x - 4 = 12

adding 4 to both sides

x = 16

BC = x + 12 = 16 + 12 = 28

The lengths of line segments AB = 10 and BC = 28.

Therefore, the correct answer is AB = 10 and BC = 28.

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The missing component is a Control Group

Answer:

Control group

Step-by-step explanation:

A control group is necessary in all experiments that require a comparison. A control group and an experimental group are both included in an experiment. These two need to be identical in every way with the exception of the fact that the experimental group will be subjected to a treatment that is believed to have a particular outcome. In this case, it is difficult to know whether the drink really has the desired effects or not, as we are not aware of the results of a control group.

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 2, 4), hence

y - 4 = 3(x - (- 2)), that is

y - 4 = 3(x + 2) ← in point- slope form

Answer: D

Step-by-step explanation:

I would say the answer is a point, points are theoretically a

zero-dimensional idea

Answer:

D. point

Step-by-step explanation:

A point is an undefined term in Geometry. It represents a position in space. It has no length, width, or height.

Answer: x<61.63

Step-by-step explanation: Add 200 to both sides, giving you 15.56x<958.92 .

Than divide by 15.56 giving you x< x<61.627249

Round to the nearest hundredth giving you x<61.63

Answer:   61.63

Step-by-step explanation:

The given inequality : [tex]15.56x - 200 < 758.92[/tex]

Adding 200 on both the sides , we get

[tex]15.56x < 758.92+ 200\\\\\Rightarrow\ 15.56x <958.92 [/tex]

Dividing 15.56 on both the sides , we get

[tex]\dfrac{15.56x}{15.56}<\dfrac{958.92}{15.56}\\\\\Rightarrow\ x<61.6272493573\approx61.63[/tex]

Hence, the value of x (to the nearest hundredth) = 61.63

Answer:

AD = 29

Step-by-step explanation:

Note that

AD = AB + BD = 6 + 23 = 29

Answer:

( -3√5)

Step-by-step explanation:

√45 - √20 - 4√5 = √5*3*3 - √2*2*5 - 4√5

                            = 3√5 - 2√5 - 4√5

                            = √5 (3 - 2 - 4)

                            =  ( -3√5)

The correct answer is: B) 5x √3x

I just did the test, trust me it is B.

The solution for the following expression is,[tex]5x\sqrt{3x}[/tex].None of the options are correct.

Simplifying is making something easier to do or comprehend, as well as making something less difficult.

The following expression is given ;

[tex]3\sqrt{27x^3}-2\sqrt{12x^3}[/tex]

Simplify the given expression;

[tex]3\sqrt{27x^3}-2\sqrt{12x^3} \\\\ 3 \times 3x \sqrt {3x} -2 \times 2x \sqrt{3x}\\\\ 9x \sqrt {3x}-4x\sqrt{3x}\\\\\ 5x\sqrt{3x}[/tex]

The solution for the following expression is,[tex]5x\sqrt{3x}[/tex].

Hence one of the options is correct.

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Answer:

270 words per minute

Step-by-step explanation:

It is given 180 words in 2 minutes, this means Toni can type 180/2 = 90 words per minute (90wpm).

Thus, in the same ratio/rate, Toni would be able to type:

90 * 3 = 270 words per minute.

Correct answer 270 wpm

Answer:

270

Step-by-step explanation:

hello

Answer:

4 is your answer.

Step-by-step explanation:

You would break down both numbers into their factors.

28 is divisible by 1,2,4,7,14,and 28

60 is divisible by 1,2,3,4,5,6,10,12,15,20,30, and 60

find the common pairs: (1,1), (2,2), (4,4) Both numbers have these as factors, so find the largest one.  

The greatest common factor (GCF) of 28 and 60 is 4.

To find the Greatest Common Factor GCF of two numbers, we need to determine the largest number that divides both numbers without leaving a remainder. One way to find the GCF of 28 and 60 is to list the factors of each number and identify the largest factor that they have in common.

The factors of 28 are 1, 2, 4, 7, 14, and 28.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

The largest factor that 28 and 60 have in common is 4.

Therefore, the GCF of 28 and 60 is 4.

Another way to find the GCF of two numbers is to use prime factorization. To do this, we need to express each number as a product of its prime factors.

The prime factorization of 28 is 2² x 7, and the prime factorization of 60 is 2² x 3 x 5. To find the GCF, we take the product of the common prime factors with the smallest exponents, which in this case is 2². Therefore, the GCF of 28 and 60 is 2², which is equal to 4.

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Answer:

315 apples

Step-by-step explanation:

45 divided by 3 = 15 then time's that by 7

Answer:

y = 28 degrees

x = 28 degrees

Step-by-step explanation:

A right angle = 90 degrees

90 degrees - 62 degrees = 28 degrees

This is for both x and y because 62 degrees occupies both the right angles.

Answer:

right angles are 90 degrees

90-62=28

X=28

y=28

I hope this helps!

Step-by-step explanation:

angle YWX = angle YXW ...eqn 1

angle XYZ = angle WYX (0.5) = 15x...eqn 2

angle YXZ = angle YXW = 2x + 5...eqn 3

=> from eqn 1 and 3 we get...

angle YWX = 2x + 5 ...eqn 4

=> from eqn 2 we get

angle WYX = 2 × angle XYZ = 30x...eqn 5

a triangle has a total of 180deg,

=>angle WYX + angle YWX + angle YXW = 180deg

=> 30x + 2x +5 + 2x +5 = 180deg

=> 34x +10 =180deg

=> x = 5deg

subst x = 5deg in eqn 5, we get

angle WYX = 30 × 5 = 150deg

Answer:

D = 150 degrees

Step-by-step explanation:

Just got it correct on Edg, 2021!