A store sells 48 count packages of Snickers candy bars for $27.50 per package, and 36 count packages of KitKat bars for $21.50 per package. Mrs. Sweettooth bought total of 204 Snickers and KitKat bars in the store and paid $119.50. How many of each candy bars did she buy?

Answers

Answer 1

Final answer:

To find out how many Snickers and KitKat bars Mrs. Sweettooth bought, we can solve a system of equations using the count and cost information.

Explanation:

Let's assume that Mrs. Sweettooth bought x packages of Snickers and y packages of KitKat bars.

From the given information, we can set up two equations:

48x + 36y = 204 (equation 1) - representing the total count of candy bars27.50x + 21.50y = 119.50 (equation 2) - representing the total cost of the candy bars

To solve this system of equations, we can use a method called substitution:

Rearrange equation 1 to solve for x: x = (204 - 36y)/48Substitute the value of x in equation 2: 27.50[(204 - 36y)/48] + 21.50y = 119.50Simplify and solve for yOnce y is found, substitute its value back into equation 1 to find the value of x

By solving this system of equations, we can determine the number of Snickers and KitKat bars that Mrs. Sweettooth bought.

Related Questions

At one store, Julia saved $10 with a coupon for 40% off her total purchase. At another store, the $29 she spent on books is 58% of her total bill. How much did Julia spend in all at the two stores?

Answers

Let "a" and "b" represent the values of the first and second purchases, respectively.
0.40*(original price of "a") = $10
(original price of "a") = $10/0.40 = $25.00 . . . . divide by 0.40 and evaluate
a = (original price of "a") - $10 . . . . . . Julia paid the price after the discount
a = $25.00 -10.00 = $15.00

At the other store,
$29 = 0.58b
$29/0.58 = b = $50 . . . . . . . divide by the coefficient of b and evaluate

Then Julia's total spending is
a + b = $15.00 +50.00 = $65.00

Julia spent $65 in all at the two stores.

Name all numbers between 67 and 113 that are a multiple of 4, 9 and 12.

Answers

There are only 2 possbile answers: 72 and 108.

Hello!

I believe that there are 2 number that are in between the given numbers and are multiples of 4, 9, and 12. The numbers are...
72 and 108.

You can find these numbers by counting by the given one digit numbers
For example...

9, 18, 27, 36, 45, 54, 63, 72
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30..., 68, 70, 72

You can do the same for 108 as well

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72..., 104, 108
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30..., 100, 102, 104, 106, 108

I hope this helps!

Show that the curvex = 2 cos t, y = 3 sin t cos t has two tangents at (0, 0) and find their equations.

Answers

This is the case of parametric derivatives in which x and y are expressed as functions of a variable t.

The first derivative implies that:

[tex] \frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} } [/tex]

So we need to find both derivatives as functions of the variable t, then:

[tex]\frac{dy}{dt} = 3[cos(t)cos(t)+sin(t)(-sin(t))][/tex]
[tex]\frac{dy}{dt} = 3[cos^{2} (t)-sin^{2} (t)][/tex]

[tex]\frac{dx}{dt} = -2sin(t)[/tex]

Thus:

[tex]\frac{dy}{dx} = \frac{-3[cos^{2} (t)-sin^{2} (t)]}{2sin(t)}[/tex]

At (0,0) [tex]x=0[/tex] and [tex]y=0[/tex], so:

[tex] \left \{ {{0=2cos(t)} \atop {0=3sin(t)cos(t)}} \right.[/tex]
∴[tex] \left \{ {{cos(t)=0} \atop {sin(t)cos(t)=0}} \right.[/tex]

There are two values between -π and π which satisfy these equations simultaneously, namely:
[tex]t =[/tex] π/2
[tex]t =[/tex] -π/2

The equation of a straight line given a point and its slope is
[tex]y - y_{0} = m(x- x_{0} )[/tex]

Given that the point is (0,0), then the equation can be written as:
[tex]y = mx [/tex]

So we will find two straight lines:
[tex] \left \{ {{y= m_{1}x } \atop {y= m_{2}x }} \right. [/tex]

For [tex]t = \pi /2[/tex]:

[tex] m_{1}= \frac{dy}{dx} = \frac{-3[cos^{2} ( \pi /2)-sin^{2} ( \pi /2)]}{2sin( \pi /2)} = \frac{3}{2} [/tex]

For [tex]t = -\pi /2[/tex]:

[tex]m_{2}= \frac{dy}{dx} = \frac{-3[cos^{2} ( -\pi /2)-sin^{2} ( -\pi /2)]}{2sin(- \pi /2)} = -\frac{3}{2} [/tex]

Lastly:
[tex]\left \{ {{y= \frac{3}{2} x } \atop {y= -\frac{3}{2} x }} \right. [/tex]

what is 4.1363636... as a fraction?

Answers

Answer:

x = [tex]\frac{91}{22}[/tex].

Step-by-step explanation:

Given : 4.1363636...

To find : Write as fraction .

Solution : We have given that

Let x = 4.1363636...

We can see number 36 ( 2 digit repeating ) so we will multiply it by 100

On multiplying both sides by 100

100x = 100 * 4.1363636...

100 x = 413 .63636 .....

We can write it in term of x

100 x = x + 409 .5

On subtracting both sides by x

100 - x = 409 .5

99 x = 409 .5

On dividing both sides by 99

x = [tex]\frac{409.5}{99}[/tex].

x = [tex]\frac{4095}{990}[/tex].

x = [tex]\frac{819}{198}[/tex].

On dividing both number by 9

x = [tex]\frac{91}{22}[/tex].

Therefore, x = [tex]\frac{91}{22}[/tex].

We have that the the Representation of 4.1363636 as fraction is

[tex]4.1363636=\frac{517}{125}[/tex]

From the question we are told that:

4.1363636. is in decimal form

Fraction

This is the representation of a number in the format of a numerator and a denominator

Generally, the Representation of 4.1363636 as fraction is mathematically given by

Having defined fractions we have that

[tex]4.1363636 \approx 4.136[/tex]

Therefore

The 4.1363636 as fraction is mathematically given by

[tex]4.1363636=\frac{517}{125}[/tex]

in conclusion

The the Representation of 4.1363636 as fraction is

[tex]4.1363636=\frac{517}{125}[/tex]

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The number of cartoons watched on saturday mornings by students in mrs. kelly's first grade class is shown below. number of cartoons watched x 0 1 2 3 4 5 probability p(x) 0.15 0.20 0.30 0.10 0.20 0.05 what is the mean of the data?
a.1.37
b.2.15
c.1.89
d.1.18

Answers

The mean is the sum of the products of x and p(x). That is
[tex]\mu =\sum \left(x\cdot p\left(x\right)\right)[/tex]

[tex]\mu =0\left(0.15\right)+1\left(0.20\right)+2\left(0.30\right)+3\left(0.10\right)+4\left(0.20\right)+5\left(0.05\right)[/tex]

[tex]\mu =2.15[/tex]

The mean is 2.15.

A company makes three purchases on July 5, one for $550, another for $250 and a third for $75. It returns merchandise costing $35. If the Company is given a discount 2/10 and pays the total amount due on July 20, how much was due?

Answers

To find how much is due, you will add the total expenses and subtract the returned amount. You will pay for 8/10 (1 - 2/10) of these costs.

8/10 ($550 + $250 + $75 - $35) = $672.

The amount due is $672.

Hey can you please help me posted picture of question

Answers

Answer: Option B. 1/2

A simple event is the one which has only one possible outcomes, hence such an event does not involve addition or multiplication of probabilites.

The option B gives only such a probability which can represent a simple event. The rest of the options belong to the compound events as they are sum or product of probabilities.

So, the correct answer is option B

a + 5=5a +5
[tex]a + 5 = 5a + 5 = [/tex]

Answers

First, let's isolate the a on the left side by subtracting both sides by 5:
a = 5a
Now subtract both sides by a:
4a = 0
a = 0

What is the volume of a rectangular prism with the dimensions: L = 1 in, W = 3/4 in, and H = 1/2in. V = LWH.

Answers

The volume of a rectangular prism is the product of the length, width, and height.

V = LWH

V = (1 in.)(3/4 in.)(1/2 in.) = 3/8 in.^3 = 0.375 in.^3

Help with this one can’t figure it out

Answers

To solve the problem shown in the figure attached, you must apply the proccedure shown below:

1. You have that the equation for calculate the area of a circle is:

A=πr²

2. You have that the formula for calculate the diameter of a circle is:

d=2r

Therefore, the radius is r=d/2

where r is the radius of the circle

3. Keeping the information above on mind, you have the correct sequence of the equations by clearing the diameter d, is shown below:

A=π(d/2)²
A=πd²/4
4A=πd²
d²=4A/π
d√(4A/π)

Therefore, as you can see, the answer is:

A=π(d/2)²
A=πd²/4
4A=πd²
d²=4A/π
d√(4A/π)

Two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. two men, joel and jerry, push against a wall. jerry stops after 10 min, while joel is able to push for 5.0 min longer. compare the work they do. both men do positive work, but joel does 50% more work than jerry. both men do positive work, but jerry does 50% more work than joel. both men do positive work, but joel does 75% more work than jerry. both men do positive work, but joel does 25% more work than jerry. neither of them does any work.

Answers

Work is the product of force and distance. Since the wall doesn't move, the distance and work done are zero. The appropriate choice is the last one:
neither of them does any work.

Q #6 in the figure A B || C D Find the measure ГGEB

Answers

Angle GEB is correspondent with the angle of 50°, and since the lines AB and CD are parallels, these angles must be congrunets, then
Answer: Second option 50°

the answer is b hoped i helped

What’s the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21 e. 7⁄11 and 9⁄121 f. 1⁄2, 3⁄18, and 4⁄9

Answers

Imagine a cake. OK? Now divide the cake in 2 equal pieces, each one is ½ of the cake.
Now divide each piece in 2 halves; each one is ¼ of the cake. Witch is largest? 1:2=0,5; 1:4=0,25. 0,5>0,25.

5:6=0,83333
29:36=0,80555
0,83>0,80 so 5/6 is the largest.

Do this for each group.

a.5/6
b.5/8
c.19/45
d.13/14
e.7/11
f.1/2

Answer:

a. [tex]\frac{5}{6}[/tex],

b. [tex]\frac{5}{12}[/tex],

c. [tex]\frac{19}{45}[/tex],

d. [tex]\frac{13}{14}[/tex],

e. [tex]\frac{7}{11}[/tex],

f. [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

(a)

[tex]\frac{5}{6}\text{ and }\frac{29}{36}[/tex]

Making denominator common.

[tex]\frac{5\times 6}{6\times 6}\text{ and }\frac{29}{36}[/tex]

[tex]\frac{30}{36}\text{ and }\frac{29}{36}[/tex]

Now compare the numerators.

[tex]30>29[/tex]

[tex]\frac{30}{36}>\frac{29}{36}[/tex]

[tex]\frac{5}{6}>\frac{29}{36}[/tex]

Therefore [tex]\frac{5}{6}[/tex] is largest fraction.

(b)

[tex]\frac{5}{12}\text{ and }\frac{3}{8}[/tex]

Making denominator common.

[tex]\frac{5\times 2}{12\times 2}\text{ and }\frac{3\times 3}{8\times 3}[/tex]

[tex]\frac{10}{24}\text{ and }\frac{9}{24}[/tex]

Now compare the numerators.

[tex]10>9[/tex]

[tex]\frac{10}{24}>\frac{9}{24}[/tex]

[tex]\frac{5}{12}>\frac{3}{8}[/tex]

Therefore [tex]\frac{5}{12}[/tex] is largest fraction.

(c)

[tex]\frac{2}{5}\text{ and }\frac{19}{45}[/tex]

Making denominator common.

[tex]\frac{2\times 9}{5\times 9}\text{ and }\frac{19}{45}[/tex]

[tex]\frac{18}{45}\text{ and }\frac{19}{45}[/tex]

Now compare the numerators.

[tex]18<19[/tex]

[tex]\frac{18}{45}<\frac{19}{45}[/tex]

[tex]\frac{2}{5}<\frac{19}{45}[/tex]

Therefore [tex]\frac{19}{45}[/tex] is largest fraction.

Similarly,

(d)

[tex]\frac{5}{7}\text{ and }\frac{13}{14}\text{ and }\frac{19}{21}[/tex]

By making denominator common, we get

[tex]\frac{30}{42}\text{ and }\frac{39}{42}\text{ and }\frac{38}{42}[/tex]

By comparing the numerators, we get 39 is greatest therefore [tex]\frac{13}{14}[/tex] is largest fraction.

(e)

[tex]\frac{7}{11}\text{ and }\frac{9}{121}[/tex]

By making denominator common, we get

[tex]\frac{77}{121}\text{ and }\frac{9}{121}[/tex]

By comparing the numerators, we get 77 is greatest therefore [tex]\frac{7}{11}[/tex] is largest fraction.

(d)

[tex]\frac{1}{2}\text{ and }\frac{3}{18}\text{ and }\frac{4}{9}[/tex]

By making denominator common, we get

[tex]\frac{9}{18}\text{ and }\frac{3}{18}\text{ and }\frac{8}{18}[/tex]

By comparing the numerators, we get 9 is greatest therefore [tex]\frac{1}{2}[/tex] is largest fraction.

4,000 is invested at 3% interest how much money must be invested at 5% interest so that the total interest from the two investments is $195 after a year

Answers

Money 1: $4,000 is invested at 3% interest
Interest 1: I1=4,000*3%=4,000*3/100→I1=120

Money 2: x invested at 5% interest
Interest 2: I2=x*5%=x*5/100→I2=0.05x

The total interest from the two investments is $195 after a year
I1+I2=195
120+0.05x=195

Solving for x:
120+0.05x-120=195-120
0.05x=75
0.05x/0.05=75/0.05
x=1,500

Answer: $1,500 must be invested at 5% interest so that the total interest from the two investments is $195 after a year

Distributive Property: 2(5c-7)=1

Answers

The formula for distributive property is:

a(b + c) = ab + ac

Steps:

so, 2(5c - 7) = 1

1.) 2(5c) - 2(7) = 1

10c - 14 = 1

2.) Add 14 to both sides:

10c - 14 + 14 = 1 + 14

3.) Simplify:

10c = 15

4.) Then, divide both sides by 10:

10c/10 = 15/10

5.) Simplify:

c = 3/2
is the answer.

Hope this helped you solve this question!!!

~Shane

Good Luck! Hope this helps! <3

9(T - 1) = 6(T + 2) - T

T = ?

Answers

9(T-1)=6(T+2)-T
9T-9=6T+12-T
9T-9=5T+12
4T-9=12
4T=21
T=5.25
but the equation is wrong
i think that answer is T=5.25

Billy is making a juice that contains 3 quarts of water, 1 quart of grape juice, 1 quart of orange juice, and 2 quarts of strawberry juice. He is putting his homemade juice into a jug that can hold 2 1⁄2 gallons. How many more quarts of juice can Billy still make before filling the jug?

Answers

we have that
Billy is making a juice that contains
3 quarts of water
1 quart of grape juice
1 quart of orange juice
2 quarts of strawberry juice
total=3+1+1+2----> 7 quarts

a jug can hold 2 1⁄2 gallons-----> 2.5 gallons

we know that
1 gallon is equal to 4 quarts
2.5 gallons------> x
x=2.5*4----> x=10 quarts
so

quarts of juice can Billy still make before filling the jug=10-7---> 3 quarts

the answer is
3 quarts

if there are 16 ounces in a pound how manyh are in 24 ounces

Answers

16 ounces = 1 pound
1 ounce = 1/16 pound
24 ounces = 1/6 x 24 = 4 pounds

Answer: 4 pounds

Final answer:

24 ounces equals 1.5 pounds, based on the conversion factor of 1 pound equals 16 ounces.

Explanation:

Your question is related to unit conversion. If we know that one pound equals 16 ounces, then to convert 24 ounces to pounds, we must divide 24 ounces by the number of ounces in a pound. Here's how we can do it:

Set up the conversion: 24 oz / 16 oz/lb. Dividing these amounts gives the result: 24 / 16 = 1.5 lbs.

S, this means that 24 ounces is equal to 1.5 pounds.

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20 points! plz help me

Answers

2a + 3 + a = 180
- 3 - 3

2a + a = 177

3a = 177
---- ---- = 59
3 3

59 is a.

if the leg of a right triangle are 3 ft and the 4ft the length of the hypotenuse is

Answers

Since the triangle is a right triangle, you can use the Pythagorean Theorem to find the length of the hypotenuse.
The Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.

Plug in the leg lengths and solve.

a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²
5 = c

Answer:
The length of the hypotenuse is 5 ft.

The hypotenuse would be 5 because it is one of the Pythagoream Theorem triplets.

what has to be added to the sum of 2/3 & 3/2 to get 3? give answer as whole number or fraction <question 10 in the image>

Answers

Be x that has to be added to the sum of 2/3 and 3/2
(2/3+3/2)+x=3

Solving for x:
(2*2+3*3)/6+x=3
(4+9)/6+x=3
13/6+x=3
13/6+x-13/6=3-13/6
x=(6*3-13)/6
x=(18-13)/6
x=5/6

Answer: 5/6 has to be added to the sum of 2/3 and 3/2 to get 3

Use the spinner shown. it is equally probable that the pointer will land on any one of the six regions. if the pointer lands on a borderline, spin again. if the pointer is spun twice, find the probability that it will land on grey and then purple

Answers

Final answer:

The probability of a spinner with six equally probable outcomes landing on specific colors in sequence (grey then purple) is 1/36 since the events are independent. Their individual probabilities (each 1/6) are multiplied to find the combined probability.

Explanation:

The question involves a topic in probability called independent events. In this case, the spinner landing on grey in the first spin and purple in the second spin are independent events. That means, the outcome of the first event does not affect the outcome of the second event and vice versa.

Since the spinner has six regions, and landing on any one of them is equally probable, the probability of landing on grey (or any specific color) in one spin is 1/6. Similarly, the probability of landing on purple in one spin is also 1/6.

Since these events are independent, the probability of both these events happening in sequence can be found by multiplying the probabilities of each individual event happening. So, the probability of the spinner landing on grey in the first spin and then on purple in the second is (1/6)*(1/6) = 1/36.

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Final answer:

The probability of landing on the grey region first and then the purple region is 1/18.

Explanation:

The question asks for the probability of landing on the grey region first, and then the purple region on a spinner. To find the probability, we first need to determine the total number of possible outcomes. Since the spinner has six regions, we have six possible outcomes on the first spin. If the spinner lands on a borderline, we spin again. So, on the second spin, we also have six possible outcomes. Since each spin is equally likely, the total number of possible outcomes is 6 x 6 = 36.

Next, we need to determine the number of favorable outcomes, which is the number of ways we can land on the grey region first and then the purple region. From the spinner, we can see that there are two grey regions and one purple region. So, the number of favourable outcomes is 2 x 1 = 2.

Finally, we can calculate the probability by dividing the number of favourable outcomes by the total number of outcomes: 2/36 = 1/18. Therefore, the probability of landing on the grey region first and then the purple region is 1/18.

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find the product of 9x^2+2x-7

Answers

To solve the problem you must apply the proccedure shown below:

1. You have the following quadratic equation given in the problem:

9x^2+2x-7=0

2. When you factor it, you obtain:

(9x-7)(x+1)=0

3. Then, you have that the roots of the quadratic equation are:

(9x-7)(x+1)=0
x1=7/9
x2=-1

The radius of the circle is 7 inches what is the approximate length of AB (AB is 135 degrees

Answers

we know that
circumference=2*pi*r
for r=7 in
circumference=2*pi*7------> 14*pi in

if 360° (full circle) has a length of------------ 14*pi in
135°-----------------------------> x
x=135*14*pi/360----------> x=5.25*pi in--------> 16.49 in

the answer is
5.25*pi in or 16.49 in

hey can you please help me posted picture of question

Answers

When a number is added to or subtracted from a function it moves it vertically up or down.

G(x) is obtained by subtracting 3 from F(x). This means G(x) is obtained by vertical translation of F(x). Since 3 is subtracted from F(x), the vertical translation is downwards.

So, we can say: G(x) is obtained by moving F(x) 3 units vertically down.

Therefore, the correct answer is option D

what is the function for point (2,2)

Answers

12 or 5/5 I hope this helped

The access code for a car's security system consists of four digits. the first digit cannot be zero or one and the last digit must be even. how many different codes are available?

Answers

There are a total of 10,000 four-digit combinations using the numbers 0 to 9, assuming that 0 is allowed as the first digit and repetition of digits is allowed. So if you must remove 1 and 0 being the first and only even for the last digit then there are

Olivia and ray walk to school. olivia walks 1\4 of a mile to school. her walks is 2\3 of the distance that ray walks to school. waht is the total distance, in miles that ray walks to school? answer

Answers

we know that

Olivia walks ---------> 1\4 of a mile to school

2/3 correspond to ------> 0.6666------> 66.67 %
3/3 correspond to--------> 1--------> 100%
so
if (2/3)-----------> 1/4 mile
(3/3)-------------> x
x=(1/4)/(2/3)-----> x=(1/4)*3/2-----> x=3/8------> x-0.375 miles

the answer is
Ray walks to school 3/8 miles (0.375 miles)

PLZ HELP ASAP TANGENTS OF CIRCLES WORD PROBLEMS

Answers

AC and AB are tangents to circle O, meaning that the angles C and B are right angles of 90 degrees. Since a quadrilateral's internal angles must sum up to 360 degrees, this means that A + B + C + O = 360
70 + 90 + 90 + O = 360
O = 110 degrees.

The length of the major axis of the ellipse below is 14, and the length of the red line segment is 3. how long is the blue line segment?

Answers

Apex the answer is 11.

The length of the blue line segment is 11 units.

What is relation between sum of the distance of a point from the focus of ellipse and the length of major axis?

For any point P on an ellipse, the sum of the distances from P to the two foci is equal to the length of the major axis of the ellipse. This is known as the "distance property" of an ellipse.

To see why this is true, consider an ellipse with foci F₁ and F₂ and major axis length 2a. Let P be any point on the ellipse, and let D₁ and D₂ be the distances from P to F₁ and F₂, respectively. Then, by definition of an ellipse, we know that:

D₁+ D₂ = 2a

Given that,

Two line segments

Red segments of length = 3 unit

So from the definition we know that,

The sum of segments = the length of major axis

The length of major axis = 2a

2a = D₁+ D₂

14= 3 + D₂

D₂ = 11

Therefore, the length of the blue line segment is 11 units.

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You use energy to heat your home. what ultimately happens to the energy that you pay for in your heating bill? In Living Like Weasels, Annie Dillard describes her experience with a weasel. Have you ever had an encounter with a wild animal? Think of an experience in nature, or even at the zoo, with an animal that you were unfamiliar with. Describe this experience and include what you learned from it. describe the integumentry system in three words Who were the first to replace the barter system with a coin system ? match each graph with its corresponding equation Read the sonnet. From Sonnet 106, by William Shakespeare When in the chronicle of wasted time I see descriptions of the fairest wights, And beauty making beautiful old rhyme, In praise of ladies dead and lovely knights, Then in the blazon of sweet beautys best Of hand, of foot, of lip, of eye, of brow, I see their antique pen would have expressd Even such a beauty as you master now. So all their praises are but prophecies Of this our time, all you prefiguring; And, for they lookd but with divining eyes, They had not skill enough your worth to sing: For we, which now behold these present days, Have eyes to wonder, but lack tongues to praise. Which of the following best describes how the text structure of Sonnet 106 relates to its meaning? The final couplet is a reversal of the ideas in the three quatrains. Each quatrain has a separate set of ideas. Movement from the first to the third quatrain shows a progression in ideas. The final couplet supports the speakers ideas in the three quatrains. Which concept was being challenged during the English Civil War?A)Freedom of ReligionB)Divine Right of KingsC)the rule of successionD)power of the government over the church A right triangle has sides measuring 5 inches, 12 inches, and 13 inches. What is the area, in square inches, of this triangle ? List the two organisms involved in the production the hybrid, mule. President Lincoln did not include union border states in the Emancipation Proclamation because he wanted what what is [tex]3\times \frac{ 2}{8} [/tex] Mr ong spent $960 of his salary on food and transport.He spent 1/4 of his remaining money on clothes.He then had 1/3 of his salary left.How much was his salary? Complete each reaction for strong electrolytes in water.a. cacl2(s) b. mg(no3)2 c. al2(so4)3 help please1.What is the best reason to record information about a source as you take notes?a.You will need that information if you change your topic.b.So you can prove that you did the research for the paper.c.Youll have to cite or list that information in your report.d.So readers can check to see if you got the ideas right.2.Why do you need to cite sources when you write a research paper?a.to follow MLA formatb.to keep track of your sourcesc.to avoid plagiarismd.to follow the assignments instructions Which of the following are advantages of the SI system?(Select all that apply).A) It is easy to change from one unit to another.B) It allows scientists to compare experimental results.C) All its units are based on the number 100.D) It is based on inches and pounds. An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, 8). Which equation represents this ellipse? 9(T - 1) = 6(T + 2) - TT = ? For more than 1,500 years, japanese society operated with a ________ Within visible light, violet has the lowest frequency. a. True b. False If you picked up a basalt rock which was shaped like a teardrop it could be a