Natasha's sculpture was 5 3/16 inches tall. Mayas was 4 times as tall.How much shorter was Natasha's sculpture than Mayas​

Answers

Answer 1

Answer:

Natasha's sculpture is 249/16 or 15.5625 or 15 9/16  inches shorter than Mayas sculpture

Step-by-step explanation:

The height of Natasha sculpture is 5 3/16 inches tall. Let us convert the height to an improper fraction.

5 3/16 = 83/16 inches tall. Therefore,

Natasha's sculpture is 83/16 inches tall.

According to the question Mayas own sculpture was 4 times as tall as Natasha's own sculpture. Mathematically, Mayas sculpture height can be expressed as follows

Mayas sculpture height = 4(83/16)

Mayas sculpture height = 4 × 83/16

Mayas sculpture height = 332/16

Mayas sculpture height = 20.75  inches or 83/4 inches

To know how much shorter was Natasha's sculpture we subtract Natasha sculpture height from Mayas sculpture height.

Therefore,

83/4 - 83/16 = (332 - 83) /16 = 249/16 or 15.5625 or 15 9/16

Natasha's sculpture is 249/16 or 15.5625 or 15 9/16  inches shorter than Mayas sculpture


Related Questions

With a cupon you can buy up to 6 medium pizzas at 8$ each. What is the domain of this graph ?

Answers

Answer:

x=1, 2, 3, 4, 5, 6

Step-by-step explanation:

Let's use logic. You can not have negative pizzas, and I assume you can not have decimals of pizzas.

That means that with the coupon you can only buy whole pizzas up to 6.

So the domain or x is1, 2, 3, 4, 5, 6

The sum of three consecutive natural numbers is 939, find the numbers. The three numbers in increasing order are _______, ________, and _________

Answers

Answer:

312, 313, and 314

Step-by-step explanation:

Since the three numbers are consecutive, each one is one larger than the last. Therefore, we can express them as x, (x+1), and (x+2). Therefore:

[tex]x+(x+1)+(x+2)=939 \\\\3x+3=939 \\\\3x=936\\\\x=312\\\\x+1=313\\\\x+2=314[/tex]

Hope this helps!

Which number produces a rational number when multiplied by 0.5

Answers

Answer:

Step-by-step explanation:B is a rational number and therefore when added to 0.5 produces another rational number, 0.75.

What is the index when x^2/3 is rewritten as a radical expression?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x^{2} }[/tex] written as a radical expression

The radical is the symbol that is used to represent the root in the expression n√x. The index in the given expression x^(2/3) when rewritten as a radical expression is 3.

What is a radical?

The radical is the symbol that is used to represent the root in the expression n√x.

Given the expression [tex]x^{\frac23}[/tex], which can be rewritten in the form of radical as,

[tex]x^{\frac23}\\\\[/tex]

[tex]= x^{2 \times \frac13}\\\\[/tex]

Using the law of exponent, [tex]a^{\frac1x} = \sqrt[x]{a}[/tex], then we can write,

[tex]= \sqrt[3]{x^2}[/tex]

Now, in the given expression 3 is an index, x² is the radicand and the symbol √ is known as the radical.

Hence, the index in the given expression x^(2/3) when rewritten as a radical expression is 3.

Learn more about the Radical here:

https://brainly.com/question/1369233

#SPJ2

Plssss answerrr the question is ez

Answers

Answer:

yes, the birdhouse has a surface area of 210 inches while the plywood has 1152 inches of surface area

yes the birdhouse is 210 inches while the wood is 1152

How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?

Answers

Answer:

it takes approximately 11 years and 3 months (11.4 years) for Belinda's investments to double.    

Step-by-step explanation:

To calculate the time it takes for Belinda's money to double, we will use the simple interest formula as shown below:

Simple interest = P × R × T

where:

P = principal = $800

R = Rate in decimal = 8.75% = 0.0875

T = time = ???

simple interest = $800 ( her money doubles)

∴ 800 = 800 × 0.0875 × t

800 = 70 × t

∴ t = 800 ÷ 70 = 11.4 years. (11 years and 3 months)

Therefore after approximately 11 years and 3 months, Belinda's investments doubles

Answer:

8.23

how long would it take belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?

The circle is centered at the origin and the length of its radius is three. What is the circles equation

Answers

Answer:

x^2 + y^2 = 3^2

Step-by-step explanation:

Use the standard equation of a circle with center at (h, k) and radius r:

(x - 0)^2 + (y - k)^2 = 3^2, or

x^2 + y^2 = 3^2

A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call. Which numerical expression can be used to find the cost of a 20-minute phone call? How much does the 20-minute phone call cost?HURRY FIRST ONE GETS BRAINLIEST

Answers

Answer:

$0.45+19*$0.35= $7.1

Step-by-step explanation:

first minute= $0.45

subsequent minutes= $0.35

cost per 20 min= $0.45+19*$0.35= $7.1

cost per x min= 0.45+(x-1)*0.35= 0.35x +0.10

Answer:

Step-by✔ 0.45 + 0.35(19)  

✔ $7.10

In a cookie jar, 1/5 of the cookies are chocolate chip and 1/2 or the rest a peanut butter. What fraction of all the cookies is peanut butter?

Answers

Answer:

If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5. Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.

hope it helps!!!!! :]

A right rectangular prism has a base area of 20 cm² and a height of 9.2 cm.
What the volume of the prism?

Answers

Answer:

184 cm³

Step-by-step explanation:

Volume= base*height

V= 20 cm²*9.2 cm= 184 cm³

Answer:184 cm³

Step-by-step explanation: I took the test a while ago

You borrow $A at an interest rate of r% (per month) and pay it off over t months by making monthly payments of P = g(A, r, t) dollars. Suppose you plan to borrow $ 4000 with a monthly interest rate of 2 % for 12 months. In financial terms, what do the following statements tell you?

a. gA (8000, 2, 12) = 0.045
b. gr (8000, 2, 12) = 44.79

Answers

I think the answer is a-gA(8000,2, 12) =0.045

Solve the triangle if B=78º and a=41. Round to the nearest tenth​

Answers

Answer:

c = 197.2

b = 192.9

Angle C = 90°

Angle A = 12°

Step-by-step explanation:

the side a = 41 and the angle B = 78°, we can use a sine and a tangent to find the hypotenuse and the other side.

Using a sine, cosine, or tangent depends on which side and angle you know.

sin A =opposite/hypotenuse =  a/c

Cos B = adjacent/hypotenuse = a/c

Cos78 = 41/c

c = 41/Cos 78

c  = 41/0.2079

c = 197.21

c = 197.2

Since it is a right angle triangle, let's apply Pythagoras theorem to find the other side.

Hypotenuse ² = opposite ² + adjacent²

c² = a² + b²

197.2² = 41² + b²

b² = 197.2² - 41²

b² = 38887.84 - 1681

b² = 37206.84

b =√37206.84

b = 192.89

b = 192.9

Angle C = 90°

Angle A = 180-(90 +78)

(sum of angles in a triangle =180°)

Angle A = 180-168

Angle A = 12°

A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were: At the .02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.

Answers

Answer:

We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.

Step-by-step explanation:

The complete question is: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:

Number sampled: 1,000 (republican) , 800 (democrats)

Number in favor: 200 (republican) , 168 (democrats)

At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.

Let [tex]p_1[/tex] = proportion of Republicans in favor of lowering the standards.

[tex]p_2[/tex] = proportion of Democrats in favor of lowering the standards.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1 \geq p_2[/tex]     {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1 < p_2[/tex]     {means that there is a larger proportion of Democrats in favor of lowering the standards}

The test statistics that would be used here Two-sample z-test for proportions;

                         T.S. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of Republicans in favor of lowering the standards = [tex]\frac{200}{1000}[/tex] = 0.20

[tex]\hat p_2[/tex] = sample proportion of Democrats in favor of lowering the standards = [tex]\frac{168}{800}[/tex] = 0.21

[tex]n_1[/tex] = sample of Republicans = 1000

[tex]n_2[/tex] = sample of Democrats = 800

So, the test statistics  =  [tex]\frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }[/tex]

                                     =  -0.52

The value of z test statistics is -0.52.

Now, P-value of the test statistics is given by the following formula;

            P-value = P(Z < -0.52) = 1 - P(Z [tex]\leq[/tex] 0.52)

                          = 1 - 0.6985 = 0.3015

Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.52 > -2.054, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.

A Broadway theater has 800 ​seats, divided into​ orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main seats for $ 30 comma and balcony seats for $ 20.  If all the seats are​ sold, the gross revenue to the theater is $ 23 comma 200.  If all the main and balcony seats are​ sold, but only half the orchestra seats are​ sold, the gross revenue is $ 20 comma 000. How many are there of each kind of​ seat?

orchestra seats: main seats: balcony seats:

Answers

Answer:

orchestra seats: main seats: balcony seats: 160: 400: 240

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

[tex]x +y+z=800 ..... (1)[/tex]

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

[tex]\Rightarrow 40x + 30y+20z=23200 ...... (2)[/tex]

If all the main and balcony seats are​ sold, but only half the orchestra seats are​ sold, the gross revenue is $ 20 comma 000.

[tex]\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)[/tex]

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

[tex]\Rightarrow 20x = 3200\\\Rightarrow x = 160[/tex]

Putting value of x in equations (1) and (2):

Equation (1)

[tex]\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)[/tex]

Equation (2)

[tex]\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)[/tex]

Equation (5) - 2 [tex]\times[/tex] Equation(4):

[tex]\Rightarrow y =400[/tex]

Putting value of y in equation (4):

[tex]400 +z = 640\\\Rightarrow z =240[/tex]

Hence, answer is:

orchestra seats: main seats: balcony seats: 160: 400: 240

The box plots summarize the data for heights of players on a national

basketball team and a national volleyball team.

Basketball

Volleyball

72 73 74 75 76

77

78

79

Which conclusion can you draw from the displays

one!

O

On average, there is a wide spread of heights of

O

basketball players are shorter than these volleyball pla

O

basketball players have the same height as these

On average

players.

On averag

tball players are taller than these volleyb

Answers

(Diagram of the box plots is attached below)

Options:

A. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights

B. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights

C. 25% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights

D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights

Answer:

D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights

Step-by-step Explanation:

Based on the box plots given in the diagram attached below, the median height of volleyball players is 79.

Also, from the data set of basketball players, we can approximately infer that the heights from Q2, Q3, and Q4 make up 75% of the data set of the heights of basketball players.

Heights at Q2 in the data set of basketball players starts from 79, which is equal to the median height of volleyball players.

Therefore, from the displays, we can conclude that "75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights".

the ratio of bicycles to to cars is 2:7 respectively. If the total number of vehicles are 63, how many bicycles are there?

Answers

Answer:

49 cars and 14 bikes

Step-by-step explanation:

we know [tex]7^{2}[/tex] is 49. 7 × 7 = 49

to match that, 7 × 2 = 14

14 plus 49 is 63

2. Lupe put $11,500 in a certificate of deposit that gained simple interest at a rate of 6.7%. How much interest
did the account gain after 5 months?

Answers

Answer:

321

Step-by-step explanation:

Principal amount = $11,500

Simple interest = 6.7%

time :5 months

as simple interest is calculated for a year, time needs to be calculated in years

12 months comprises 1 year

1 month is equivalent to 1/12 years

thus, 5 month is equivalent to (1/12)* 5 years

time in years = 5/12

Simple interest is calculated by formula

SI = p*r*t/100

where SI is simple interest earned

p is principle amount

r is rate of interest

t is time in years

substituting the value of p, r and t in the formula for SI, we have

SI = (11500*6.7*5)\12*100 = 321.04

interest,the account gained after 5 months is 321.

Which statement about the temperatures −13.4°C and −13.2°C is true?
-13.4°C>−13.2°C because −13.2°C is older than −13.4°C.
−13.4°C<−13.2°C because −13.2°C is colder than −13.4°C.
−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C.
−13.4°C>−13.2°C because −13.2°C is warmer than −13.4°C.

Answers

Answer:

I think "−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C" is the right answer

A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone is eligible?

Answers

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

[tex]P(n, p) = n! / (n - p)![/tex]

So we have:

[tex]P(10, 2) = 10! / (10 - 2)![/tex]

[tex]P(10, 2) = 10! / 8![/tex]

[tex]P(10, 2) = 10*9 = 90[/tex]

So there are 90 different ways of choosing a president and a vice-president.

The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.In what range would you expect to find the middle 68% of most pregnancies

Answers

Answer:

The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Step-by-step explanation:

We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.

Let X = lengths of pregnancies in a small rural village

SO, X ~ Normal([tex]\mu=262,\sigma^{2} = 17^{2}[/tex])

Here, [tex]\mu[/tex] = population mean = 262 days

         [tex]\sigma[/tex] = standard deviation = 17 days

Now, the 68-95-99.7 rule states that;

68% of the data values lies within one standard deviation points.95% of the data values lies within two standard deviation points.99.7% of the data values lies within three standard deviation points.

So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;

[ [tex]\mu -\sigma[/tex] , [tex]\mu + \sigma[/tex] ]  =  [262 - 17 , 262 + 17]

                          =  [245 days , 279 days]

Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Y is directly proportional to the square root of p h=5.4 when p=1.44 find h when p= 2.89

Answers

Answer:

I dont know what the answer is exactly

Round to the nearest cent

$1.6845

Answers

Answer:

$1.68

Step-by-step explanation:

Remember that cents are in the hundredths place. So think of it as rounding to the nearest hundredth place. 1.6845 ---> 1.68

Answer:

$1.68

Step-by-step explanation:

old rhyme i learnt when i was little but it helps with rounding:

5 or more let it soar, 4 or less let it rest

A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on

the wall of the rod is 45 cm from the wall and 15 cm from the light.

Answers

Answer:

48 cm

Step-by-step explanation:

Given:

Distance of rod from the wall = 45 cm

Distance of rod from the light = 15 cm

Length of rod = 12 cm

We can see that <DAM and <BAF are equal

Also, <DMA and <BFM are equal because they are corresponding angles

To find the length of the shadow, let's take the equation

[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]

Where.:

DM = ½ of length of the rod = ½*12 = 6

A.F = 15 + 45 = 60 cm

AM = 15 cm

Therefore,

[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]

[tex]= \frac{6}{BF} = \frac{15}{60} [/tex]

Cross multiplying, we have:

15 * B.F = 60 * 6

15 * B.F = 360

[tex]BF = \frac{360}{15}[/tex]

BF = 24 cm

The shadow on the wall =

2 * BF

= 2 * 24

= 48 cm

The shadow on the wall is 48 cm

help asap !! will get branliest.​

Answers

Answer:

0.8

Step-by-step explanation:

(2 x 10^-4)

= 0.0002

(4x10^3)

= 4000

0.0002 x 4000 = 0.8

Factor 1


Use algebra tiles to represent this polynomial: x2 -5x - 1


Product


Step 1: Drag one xtile to the section labeled Product.


Factor 2


Check

Answers

Answer:

See explanation and attachment.

Step-by-step explanation:

One of the ways to represent polynomial is the use of algebraic tiles.

To represent the polynomial x²-5x-1, we would use algebraic tiles to represent each of the three terms.

Algebra tiles come with different colors and sizes. Each size is equivalent to a degree of different monomials.

The x² tile is a monomial with degree of 2, the x tile is a monomial with degree of 1 and the unit tile (constant) is a monomial with degree of 0.

Let the shaded tiles represent the positive tiles and the unshaded tile represent the negative tiles.

Find attached the diagram for the tiles.

To represent the polynomial x² - 5x - 1, we would need 1 shaded x² tile, 5 unshaded x tiles and 1 unshaded unit tile. Then we would arrange the tiles to correspond with the polynomial.

Answer:

Answer:

(drag one tile) +x 2 into the product then click check.

(drag five) -x    into the product then click check.

(drag one) - tile into the product and click check..

Step-by-step explanation:

Question 4
Evelyn packed this box with 1-inch cubes. Which expression does NOT
show how Evelyn can find the volume of the box?
6 x 6
2 x 3 x 6
height
2 + 3 + 6
6 + 6 + 6 + 6 + 6 + 6
width
length​

Answers

Answer:

432

Step-by-step explanation:

Volume is equal to the length*width*height that is 6*6*2*3*6(basically multiply them all in simple terms)=432

Answer:

2 + 3+ 6

Step-by-step explanation:

You are supposed to multiply the length, width, and height not add it.

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT

Answers

Answer:

Step-by-step explanation:

1. 30 plants

the rest were confusing sorry

What is 1/3 divided by 3

Answers

1/3 divided by 3 = 1/9

Answer:

1/9 or 0.11

Step-by-step explanation:

1/3 divided by 3

= 1/3 / 3

= 1/3 / 3/1

= 1/3 x 1/3 (the rule is a/b / c/d = a/b * d/c)

= 1/9 or 0.11(1 continues repeating for ever so just make it 0.11)

Help people like mE out

Answers

Answer:62.84 cm

Solution,

radius=10 cm

Circumference of circle=2 pi r

=2*3.142*10

=62.84 cm

hope it helps

Good luck on your assignment

Please help! Correct answer only, please! Consider the matrix shown below: Find the determinant of the matrix C. Group of answer choices A. -14 B. 14 C. -22 D. The determinant cannot be found for a matrix with these dimensions.

Answers

Answer:

Hello There Again. The correct answer 14.

Explanation: Because you need to do Multpliy 2 and 4 and then add again 8 and 6 to get 14 2x4=8+6=14.

Hope It Helps! :)

Answer:

Well, I think the the right answer is 14. Because, 2 x 8 + 6 - 4 - 5 + 1= 14

Hope This Helps!!~

Good Luck!~

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