A sign in a bakery gives these options:

15 cupcakes for $26
24 cupcakes for $42
40 cupcakes for $66
Find each unit price to the nearest cent, and show your reasoning.
Which option gives the lowest unit price?

Answer:

x=13

Step-by-step explanation:

Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.

7x+23=114

Subtract 23 from both sides.

7x=91

Divide both sides by 7.

x=13

Answer:

a) z* = -1.97

b) z* = -2.33

c) z* = -1.65

d) z* = 2.04

e) z* = 2.33

f) z* = -1.25.

Step-by-step explanation:

Z-score:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. P(z < z*) = 0.0244

We have to look at the ztable, and find z which has a pvalue of 0.0244. So it is z* = -1.97

b. P(z < z*) = 0.0098

We have to look at the ztable, and find z which has a pvalue of 0.0098. So it is z* = -2.33

c. P(z < z*) = 0.0496

We have to look at the ztable, and find z which has a pvalue of 0.0496. So it is z* = -1.65

d. P(z > z*) = 0.0204

We have to look at the ztable, and find z which has a pvalue of 1 - 0.0204 = 0.9796. So z* = 2.04

e. P(z > z*) = 0.0098

We have to look at the ztable, and find z which has a pvalue of 1 - 0.0098 = 0.9902. So z* = 2.33

(f) P(z > z* or z < -z*) = 0.201

This is z which has a pvalue of 0.201/2 = 0.1055. So it is z* = -1.25.

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

58 seconds

Step-by-step explanation:

Very very easy, no formulas or +,- required here.

You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.

So hence, your answer is 58 seconds!

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If you see someone without a smile, give them one of yours!

Thanks!

~MiniMeteorologist~

Have a great day!

:D

Answer:

The second answer choice is right

Step-by-step explanation:

Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

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Answer: Its they second or last one but the second one sound more clear

Step-by-step explanation:

Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

\(\huge\boxed{-0.001a^{n+1}}\)

Step-by-step explanation:

\(-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}\)

Answer: 10 marbles

Step-by-step explanation:

First, arrange all the numbers of marbles that the student picked in a ratio

red:green:blue

7:2:11

When adding all the coloured marbles that the student picked together, you get 20 marbles or "parts" as you would usually say in ratio.

Then, it would be helpful to rewrite the ratios as fractions, with 20 as the denominator:

\(\frac{7}{20}:\frac{2}{20}:\frac{11}{20}\)

However, the bag contains 100 marbles so we should have 100 as the denominator instead of 20.  20 is a fifth of 100, so in this case, we would multiply everything (the numerator and the denominator) by 5:

\(\frac{7*5}{20*5} :\frac{2*5}{20*5} :\frac{11*5}{20*5}\)

\(\frac{35}{100}:\frac{10}{100}:\frac{55}{100}\)

Therefore, you could predict you would get 35 red marbles, 10 green marbles, and 55 blue marbles.

Yes, Δ PQR is a right-angled isosceles triangle.

A polygon with three vertices, angles and sides is called a triangle.

Given that, an isosceles triangle has vertices P(-1, 3), Q(6, 8), R(11, 1),

We need to determine whether Δ PQR is a right angle triangle or not.

Finding the lengths of the sides of the triangle,

PQ = √(6+1)²+(8-3)² = √74 units

QR = √(11-6)²+(1-8)² = √74 units

PR = √(11+1)²+(1-3)² = √148 units

Since, PR² = √148 units

PQ² = QR² = √148 units

Hence, Δ PQR is a right-angled isosceles triangle.

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The exam has 35, 2-point questions, and 15 5-point questions solved by linear equations.

A linear equation is an equation with only one variable. It has the formula Ax + B = 0, where A and B can be any two real values, and x is an unsolved variable.

Let us assume there are x 2-points question, so there are x-50 5-points question .

Hence total no of points: 2×x+5×(50-x)=145 points

This forms a linear equation in x.

Now let us solve the linear equation in x to get the number of 2 mark questions.

2x+250-5x=145

or, -3x=-105

or, x=-105/-3

or, x=35

There are 35 2-points questions

Remaining questions 50-35=15

Hence there are 15 5-points questions.

Solving the linear equation we get 35 2 point questions and 15 5 point questions.

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Answer: Hope this helps <3

Step-by-step explanation:

Graphs can be used to represent functions.

See attachment for the graphs of \(\mathbf{x^2 + y = 2}\) and \(\mathbf{x^2 + y^2 = 9}\)

The functions are given as:

\(\mathbf{x^2 + y = 2}\)

\(\mathbf{x^2 + y^2 = 9}\)

Rewrite \(\mathbf{x^2 + y^2 = 9}\) as:

\(\mathbf{x^2 + y^2 = 3^2}\)

The above equation represents a circle of radius 3, and that has its center as the origin.

Similarly, we have:

\(\mathbf{x^2 + y = 2}\)

Make y the subject

\(\mathbf{y = 2 -x^2}\)

Rewrite as:

\(\mathbf{y = -x^2 + 2 }\)

The above is a square function, that is reflected over the y-axis, and then shifted up by 2 units.

See attachment for the graphs of \(\mathbf{x^2 + y = 2}\) and \(\mathbf{x^2 + y^2 = 9}\)

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Answer:Exact Form: one over 9  

1

9

Step-by-step explanation: ,..

The quotient of 550six and 50six​ is obtained by the calculation to be   11 six

We know that the result that we obtain after we have carried out a division operation is called a quotient. In this case, we have been required to carry out the operation of division in base six.

We could start by converting the both values to base 10 as follows;

(5 * 6^2) + (5 * 6^1) + (0 * 6^0) = 180 + 30 + 0 = 210 ten

(5 * 6^1) + (0 * 6^0) = 30 + 0 = 30 ten

Then we carry out the division in base ten; 210 ten/30 ten = 7 ten

We convert back to base six to obtain 11 six

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Answer:

2/3 is right one . option no B

The number of Jim's model car is 48

From the question, we have the following parameters that can be used in our computation:

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

B.

Step-by-step explanation:

process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer

Answer: 5°C

Step-by-step explanation: Ok, let's use the formula you're given, hopefully I'm using it correctly...

41°F

41°F - 32 = 9

Now, let's turn \(\frac{5}{9}\) into a decimal because it's easier...

9 ÷ 5 = 1.8

9 ÷ 1.8 = 5

= 5°C

I hope this helps!

Answer:

Step-by-step explanation:

Let's use the formula that was stated in your question.

C= 5/9 × (F − 32)

The simplest thing to do right now is replace (F) with the value, 41

C= 5/9 × (F − 32)

C= 5/9 × (41 − 32)

Now, we solve according to the Order of operations*. (PEMDAS)

C= 5/9 × (41 − 32)

C= 5/9 × 9 (In this case, we can cross cancel the denominator value 9, and the whole number, 9.)

Hence, the answer is 41ºF = 5ºC

*Order of operations: The order that you must solve equations in. Parentheses, Exponents, Multiplication or Division, Addition or Subtraction.

(PEMDAS)

Hope this helps!

-Emma

Answer: PERIOD

Step-by-step explanation:

Get good grades on your assignments and the student will pass the course with an A.

The area of triangle YCX is given as follows:

G. 2 units squared.

The area of square WXYZ is 16, hence the side length is given as follows:

s² = 16

s = 4.

Considering the midpoints, we have that the sides of the right triangle are given as follows:

YC = CX = 4/2 = 2

Hence the area of the triangle is given as follows:

0.5 x 2 x 2 = 2 units squared.

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Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.

Answer:

steps below

Step-by-step explanation:

aₙ = a₁ * rⁿ⁻¹

a₁ * r²⁻¹ = 6

a₁ * r = 6   ... (1)

a₁ * r⁵ = 1458  ... (2)

(2)/(1) : r⁴ = 243      r = ±3 \(\sqrt[4]{3\\}\)

if r = 3 \(\sqrt[4]{3\\}\)

\(a_{1} = 6 / 3\sqrt[4]{3} \\a_{1} = \frac{2}{3} \sqrt[4]{27}\)  

if r = -3 \(\sqrt[4]{3\\}\)

\(a_{1} = -\frac{2}{3} \sqrt[4]{27}\)

The first term of the geometric progression is 256.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

Let the first term of the geometric progression be denoted by 'a', and let the common ratio be denoted by 'r'.

According to the problem, the second term is 6, so we have:

ar = 6 ...(1)

Similarly, the seventh term is 1458, so we have:

\(ar^6\) = 1458 ...(2)

We can use equation (1) to solve for 'r', and then substitute the value of 'r' into equation (2) to solve for 'a'.

From equation (1), we have:

r = 6/a

Substituting this into equation (2), we get:

\(a(6/a)^6\) = 1458

Simplifying the right side of the equation, we have:

\(6^6\) = 1458a

Solving for 'a', we get:

a = \(6^6\)/1458 = 256

Therefore,

The first term of the geometric progression is 256.

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Answer:

Option 2

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem.

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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The relationship between the graph is translation by 3 units left

The graph of y = |x+3| can be obtained from the graph of y = |x| by applying a horizontal translation of 3 units to the left.

Specifically, the graph of y = |x+3| is identical to the graph of y = |x| shifted to the left by 3 units.

Hence, the graph of y = |x+3| can be obtained from the graph of y = |x| by shifting the latter 3 units to the left, resulting in a horizontal translation.

The graphs are otherwise identical in shape and orientation.

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Answer:8.9ft is the answer I think

Step-by-step explanation:

Answer:

Sam is the tallest since hid height is 35.83, and is the largest number out of all of them.

Step-by-step explanation:

Sam 35 5/6 - 35.83

Jesse 35 3/8 - 35.37

Ellis 35 1/4 - 35.25

Elsa 35.1 - 35.1

Jonah 35.7- 35.7

Turn all the heights into decimals and then see which is the largest number.

A mixed fraction is a combination of a whole number and a proper fraction.

A fraction represented with its quotient and remainder is a mixed fraction.

The person with the tallest height is Jesse with a height of  \(35\frac{3}{8}\).

Jesse \(35\frac{3}{8}\)  is our answer.

A mixed fraction is a combination of a whole number and a proper fraction.

A fraction represented with its quotient and remainder is a mixed fraction. Example:

2 \(\frac{1}{2}\)  where 2 = quotient, 1 is the remainder.

We have,

Sam height:

= \(35\frac{5}{6}\)

= 215

= 35.8

Jesse height:

= \(35\frac{3}{8}\)

= 283 / 3

= 94.3

Ellis height:

= \(35\frac{1}{4}\)

= 141 / 4

= 35.3

Elsa height:

= 35.1

Jonah height:

= 35.7

We see that,

94.3 > 35.8 > 35.7 > 35.3 > 35.1

This means,

Jesse's height > Sam's height > Jonah's height > Ellis's height > Elsa's height.

Thus the person with the tallest height is Jesse with a height of \(35\frac{3}{8}\).

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