the creamery ice cream shop in walnut creek sold 501 ice creams last Wednesday. they sold half as many chocolate cones as vanilla. First write the equation.

The missing angles were solved using alternative, corresponding or opposite angle theorem and the values of x and y are represented below.

The alternate and corresponding angles theorem states that angles that are alternate or corresponding to each other must be equal to each other.

13;

\((8x -1) = (11x - 25)\)

corresponding angles are equal to each other.

\((8x -1) = (11x - 25)\\x = 8\)

let's solve for y

\((15y-48) + (8x -1) = 180\\x = 8\\15y - 48 + 8(8) -1 = 180\\15y - 48 + 64 - 1 = 180\\15y + 15 = 180\\15y = 180 - 15\\15y = 165\\y = 11\)

Therefore, the value of x and y are 8 and 11 respectively.

14;

\(39 + (8y - 43) = 180\\\)

sum of angles on a straight line is equal to 180

\(39 + (8y - 43) = 180\\\\y = 23\)

let's solve for x

\(7x - 44 = 4x + 4\\x = 16\)

From the above calculations, we can easily find the missing side or angle using alternative, corresponding or opposite angle theorem.

Learn more on alternative, corresponding or opposite angle theorem here;

https://brainly.com/question/24839702

#SPJ1

The exponent on the (x - 1) term include the following: A. 3.

In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.

Mathematically, an exponent can be represented or modeled by this mathematical expression;

bⁿ

Where:

By critically observing the graph of this polynomial function, we can logically deduce that it has a zero of multiplicity 3 at x = 1, a zero of multiplicity 1 at x = 3, and zero of multiplicity 2 at x = 4;

x = 1 ⇒ x - 1 = 0.

(x - 1)³

x = 3 ⇒ x - 3 = 0.

(x - 3)

x = 4 ⇒ x - 4 = 0.

(x - 4)²

Therefore, the required polynomial function is given by;

P(x) = (x - 1)³(x - 3)(x - 4)²

Exponent of (x - 1)³ = 3.

Read more on polynomial and multiplicity here: brainly.com/question/13652616

#SPJ1

Answer:

1 5/7

Step-by-step explanation:

12 ÷ 7 = 1R5, therefore, we have 1 whole and 5/7

Hope I helped

Answer:

1/6

Step-by-step explanation:

Apply the distributive property.

1/3 x 1/6 = 2/36

1/3 x 5/12 = 5/36

Add the products.

2/36 + 5/36 = 7/36

Subtract the result by the 1/36.

7/36 - 1/36 = 6/36

Simplify the fraction.

6/36 = 1/6

-hope it helps

Exactly 84 days will pass until Ross and Annie do their chores on the same day again.

We need to find the least common multiple (LCM) of 12 and 21 to determine the number of days until Ross and Annie do their chores on the same day.

One way to find the LCM is to list the multiples of each number until we find the smallest multiple that they have in common. For 12, the multiples are:

12, 24, 36, 48, 60, 72, ...

For 21, the multiples are:

21, 42, 63, 84, ...

The smallest multiple that they have in common is 84, so Ross will mow the lawn and Annie will bathe the dog on the same day every 84 days.

Therefore, 84 days will pass until Ross and Annie do their chores on the same day again.

More on least common multiples can be found here: https://brainly.com/question/30060162

#SPJ1

Answer:

Step-by-step explanation:

See image

Answer:

were is the pic I cant answer lik

option B.

Calculations ↓

First, let's think of two numbers so that :

These numbers are :

4 and 1

Plug these numbers here :

(x+4) (x+1)

So the correct factored form of this expression is

Option B) (x+4)(x+1)

\(\footnotesize\text{hope\:helpful~}}\)

Answer:

An expression for the length is:

Step-by-step explanation:

Given

Area of a rectangular dog pen = A = 64xy square units

Width = w = 4y

To determine

The length = l = ?

We know that the area of a rectangular object is

A = l × w

where w is the width and l is the length of the rectangle.

substituting w = 4y and A = 64xy in the equation

\(A=l\times w\)

\(64xy\:=l\times 4y\:\)

\(\:\:l=\frac{64xy\:}{4y\:\:}\)

Divide the numbers: 64/4 = 16

\(l=\frac{16xy}{y}\)

Cancel the common factor: y

\(l=16x\)

Therefore, an expression for the length is:

The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,

Collecting data and analyzing results.
Random assignment:

To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:

In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.

This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:

The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.

After the two-week period, the researcher should collect the test scores of both groups and compare their performance.

This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.

For similar question on researcher.

https://brainly.com/question/30106546

#SPJ11

Answer:

d=3

Step-by-step explanation:

1.move the variable to the left hand side and change its sign.

2.move the constant to the right hand side and change its sign.

3.collect like terms.

4.calculate the difference.

5.divide both sides of the equation by -4

Solution is d=3

The associative property applies to all binary operations, while the distributive property only applies to multiplication and addition. The associative property concerns the grouping of numbers, while the distributive property concerns the distribution of a factor over a sum or difference of terms.

The associative property and the distributive property are two fundamental concepts in mathematics that relate to operations such as addition and multiplication.

The associative property states that the way in which three or more numbers are grouped in an expression does not affect the result of the calculation. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c). This property holds true for both addition and multiplication.

The distributive property states that the product of a number and the sum of two or more numbers is equal to the sum of the products of the number and each of the addends. For example, a × (b + c) = a × b + a × c. The distributive property is only applicable to multiplication and addition.

To know more on associative property and distributive property

https://brainly.com/question/5637942

#SPJ4

Answer:

the answer is 35cm^3 hope this helped

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:yesyesyesyesyesyesyesyesyes

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is  L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

The solution is: (5+√8)² = 89 + 10√8, in the form b+c root 2.

Here, we have,

given that,

the expression is:

(5+√8)²

we know that,

the algebraic formula is:

( a + b)² = a² + 2ab + b²

so, here, we get,

(5+√8)²

=5² + 2*5*√8 + √8²

=25 + 10√8 + 64

=89 + 10√8

Hence, The solution is: (5+√8)² = 89 + 10√8, in the form b+c root 2.

To learn more on  quadratic function click:

brainly.com/question/28822774

#SPJ1

Answers:

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

Explanation:

x = Erin's true speed

Her true speed x is within 2 mph of 56 mph.

This means the interval for x is \(56-2 \le \text{x} \le 56+2\) which simplifies to \(54 \le \text{x} \le 58\)

She could be going as slow as 54 mph, or as fast as 58 mph, or something in between.

The expression |x-56| measures the distance from x to 56 on the number line. Recall absolute value is used to ensure the distance isn't negative.

We want this distance to be within 2 units, i.e. we want the distance to be 2 or smaller.

\(\text{distance on number line} \le 2\\\\|\text{x}-56| \le 2\)

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

Here's what the steps look like to solve that absolute value inequality

\(|\text{x}-56| \le 2\\\\-2 \le \text{x}-56 \le 2\\\\-2+56 \le \text{x}-56+56 \le 2+56\\\\54 \le \text{x} \le 58\\\\\)

For the second step, we use the rule that |x| < k is the same as -k < x < k where k is some positive number.

In the third step, I added 56 to all three sides to isolate x fully.

Answer:

kewl ok

Step-by-step explanation:

The snack that smiles back gold fish :)

Answer:

OKIE DOKIE

Step-by-step explanation:

LOL

Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is: 
\(FV = (C * [(1 + r)^n - 1] / r)\),

For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)

We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)

Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.

To know more about compounded quarterly visit:-

https://brainly.com/question/29021564

#SPJ11

Answer:

y = 4/5 a

Step-by-step explanation:

If you look on the graph the points (5,4) and (10,8) are on the line.  In a proportional relationship, the slope of the line is y/x.  If you look at point (5,4) you see that the point is written in the form(x,y).  The 5 is the x and the 4 is the y.  If I put that in the form y/x we get 4/5 which is the slope.  

the same is true for the point (10.8), if I put that in the form y/x , we get 8/10 which simplifies to 4/5.  This is true for every point on the line.

Answer:

I'm in7th grade so should be easy!

131

Step-by-step explanation:

we use PEMDAS to solve this equation so first we do the parentheses  don't have any next exponents but we also don't have that so we got to multiplication 32 X 4 = 128 -2 = 126 + 5 = 131

Answer:

I thinks its 131

Step-by-step explanation:

5+32 x 4 - 2=

5+128-2=

131

Answer:

No one can answer unless you include the money per hour or day or week

Step-by-step explanation:

Answer:

well she works 5 days since it says monday through friday so 5 x 6 =30 she works 30 hours a week but you didnt out how much she early for each hour or one day so thats all you can figure out

Step-by-step explanation:

All are technically squares, but if you are referring to just squares, then C and D are squares.

Answer:

I believe i t is 61. Could be wrong though.

Step-by-step explanation:

Angle r plus angle u equals 180. Set the sum of the two equations and solve for x. Then, substitute that number for a and solve.

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

Minor of 2: -3

Cofactor of 2: -18

Minor of -8: -2

Cofactor of -8: 16

Minor of 5: -1

Cofactor of 5: 5

Minor of 3: 9

Cofactor of 3: -3

Minor of 9: -2

Cofactor of 9: -18

Minor of 6: -3

Cofactor of 6: 18

Minor of -1: -3

Cofactor of -1: 3

Minor of -2: 6

Cofactor of -2: -12

Minor of -3: 5

Cofactor of -3: -5

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

The given 2 x 3 matrix is composed of the values 2, -8, 5, 3, 9, 6, -1, -2, and -3. The minors of the matrix can be found by using the Laplace expansion formula and removing the row and column of the element in question. This yields the minors -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors of the matrix can be calculated by taking the determinant of the minor and multiplying it by the sign of the element in question. This results in the cofactors -18, 16, 5, -3, -18, 18, 3, -12, and -5.

Learn more about matrix here

https://brainly.com/question/28180105

#SPJ4

2. A. There is prοbably a cοrrelatiοn, but nοt a causal relatiοnship, between bοth the number οf laps as well as the duratiοn required tο swim thοse laps.

3. D- there is a cοrrelatiοn here.

4. C- The cοst per mile traveled.

5. A- The number οf cards that he had when he started his cοllectiοn.

6. A- Cοrrelatiοn, withοut causatiοn.

7. B- Cοrrelatiοn withοut causatiοn.

8. C- Despite a cοrrelatiοn between cream and fοrest fires, there isn't a clear cause-and-effect link.

Cοrrelatiοn is a statistical measure that expresses the extent tο which twο variables are linearly related (meaning they change tοgether at a cοnstant rate). It's a cοmmοn tοοl fοr describing simple relatiοnships withοut making a statement abοut cause and effect.

3. D- there is a cοrrelatiοn here, but there is nοt a direct causal relatiοnship between lοsing baby teeth and arithmetic skills. It is pοssible that a third factοr, such as age οr general health, is respοnsible fοr bοth the lοss οf baby teeth and the develοpment οf arithmetic skills.

4. C- The cοst per mile traveled. This is because the cοefficient οf x (2) represents the amοunt that the cοst increases fοr each additiοnal mile traveled.

5. A- The number οf cards that he had when he started his cοllectiοn. This is because the cοnstant term (25) represents the number οf cards that Sean had befοre he started cοllecting mοre.

6. A- Cοrrelatiοn, withοut causatiοn. There may be a cοrrelatiοn between a persοn's shοe size and their reading ability, but it is unlikely that οne directly causes the οther.

7. B- Cοrrelatiοn withοut causatiοn. While there is a cοrrelatiοn between the number οf miles a persοn runs and the number οf calοries they burn, it is unlikely that οne directly causes the οther.

8. C- Despite a cοrrelatiοn between cream and fοrest fires, there isn't a clear cause-and-effect link. This is an example οf a spuriοus cοrrelatiοn, where twο variables appear tο be related but are actually influenced by a cοmmοn third factοr, such as the weather.

To know more about cοrrelatiοn visit:

https://brainly.com/question/29163580

#SPJ1

11 is the solution to the given linear expression.

Linear equations are equation that has a leading degree of 1. Given the expression below;

2(x+7) = 36

Expand the bracket

2x + 2(7) = 36

2x + 14 = 36

Subtract 14 from both sides

2x + 14 - 14 = 36 - 14

2x = 22

x = 22/2

x = 11

Hence the value of x from the given expression is 11.

Learn more on linear function here: https://brainly.com/question/15602982

#SPJ1