Austin correctly answered 92% of the questions on the geography quiz. Liz and third 47 of the 50 questions correctly who earned a higher score? Explain.

Answers

Answer 1
Liz scores a 47/50 = 94/100 = 94%
92%<94%
Liz earned a higher score
Answer 2

Final Answer:

Liz's score is higher than Austin's

Explanation:

To solve this problem, first we need to calculate the percentage of correct answers that Liz got. We know that Liz answered 47 questions correctly out of a total of 50 questions. To calculate the percentage, we'll divide the number of questions Liz answered correctly by the total amount of questions and then multiply by 100.

This gives us the percentage of correct answers that Liz got.

We then compare it to the percentage that Austin got, which is 92%.

Doing so, we find that Liz's score is higher than Austin's. Hence, Liz earned a higher score.

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Related Questions

There were 4 car races on saturdayand 3 on Sunday. If there were 9 cars racing in each race, how many cars raced over the two days?

Answers

There were 63 cars in each race.

You do the distributive property which would look like 9(3+4). Once you distribute that you should have 27+36. You add that and get the answer of 63. Hope this helps!

Final answer:

A total of 63 cars raced over the two days: 36 cars on Saturday (4 races × 9 cars) and 27 cars on Sunday (3 races × 9 cars).

Explanation:

The student is asking to calculate the total number of cars that raced over two days. There were 4 car races on Saturday and 3 on Sunday, with 9 cars racing in each race. To find the total number of cars that raced, you would multiply the number of races each day by the number of cars in each race and then add those two products together.

For Saturday: 4 races × 9 cars per race = 36 cars

For Sunday: 3 races × 9 cars per race = 27 cars

Adding the cars from Saturday to the cars from Sunday gives us the total: 36 cars + 27 cars = 63 cars.

Therefore, over the two days, a total of 63 cars raced.

Which system of linear inequalities has the point (3, –2) in its solution set? y less-than negative 3. y less-than-or-equal-to two-thirds x minus 4 On a coordinate plane, 2 straight lines are shown. The first dashed line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded. y greater-than negative 3. y greater-than-or-equal-to two-thirds x minus 4 On a coordinate plane, 2 straight lines are shown. The first dashed line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded. y less-than negative 3. y greater-than-or-equal-to two-thirds x minus 4 On a coordinate plane, 2 straight lines are shown. The first dashed line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded. y greater-than negative 2. y less-than-or-equal-to two-thirds x minus 4 On a coordinate plane, 2 straight lines are shown. The first dashed line is horizontal at y = negative 2. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.

Answers

Answer:

IT'S B

Step-by-step explanation:

i actually got it! i looked up this answer for 3 hours and never found it, but i got it, it's B on edge!!!

Final answer:

The system of linear inequalities that includes the point (3, -2) in its solution set is y less-than-or-equal-to two-thirds x minus 4.

Explanation:

The system of linear inequalities that has the point (3, -2) in its solution set is y less-than-or-equal-to two-thirds x minus 4.

The first dashed line in the coordinate plane represents the inequality y = -3, where everything below the line is shaded. The second solid line, with a positive slope and passing through (0, -4) and (3, -2), represents the inequality y ≤ (2/3)x - 4, where everything below the line is shaded.

Therefore, the correct option is y less-than-or-equal-to two-thirds x minus 4.

find the area a polygon​

Answers

1/2 x perimeter apothem

Bag a contains 7x counters
bag b contains 2x counters
Five counters are taken from bag a and put in bag b

Answers

There is no question what are u solving for
Final answer:

To find the new number of counters in each bag, subtract 5 from bag a and add 5 to bag b.

Explanation:

The subject of this question is mathematics. In this question, we are given two bags, bag a and bag b, which contain 7x and 2x counters respectively. Five counters are taken from bag a and put in bag b.



To find the new number of counters in each bag, we subtract 5 from bag a and add 5 to bag b:



Number of counters in bag a = 7x - 5Number of counters in bag b = 2x + 5

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Solving a right triangle (ROUND TO THE NEAREST TENTH)

Answers

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for B

B = 180° - (90 + 40)° = 180° - 130° = 150°

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

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{21}[/tex]

Multiply both sides by 21

21 × sin40° = a, thus

a ≈ 13.5 ( to the nearest tenth )

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

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{21}[/tex]

Multiply both sides by 21

21 × cos40° = b, thus

b ≈ 16.1 ( to the nearest tenth )

Tyler is overdrawn at the bank by $180 He gets $70 for his birthday and deposits it what is his account balance now

Answers

Answer:

-$110

Step-by-step explanation:

An overdrawn bank account would be -$180. you would have to add $70 .

given 70 is not large enough to fully bring the balance to 0. long story short, subtract 70 from 180. since 70 is < 180 the number is therefore negative since 180 is negative in this problem

I hope this helps!!^^

Answer:

He is overdrawn by $110

Step-by-step explanation:

-180+ -70=110

Which equation represent a line that is parallel to the y-axis and passes through the point (4,3)?

Answers

Answer:

x = 4 OR 1x + 0y = 4

Step-by-step explanation:

so if it is a line parallel to the y axis, it is a vertical line. A vertical line has an undefined slope, so it cant be written in y = mx + b form.

ur equation would be : x = 4....because no matter what y is, x will always be 4.

but if u need it in standard form Ax + By = C it is :

1x + 0y = 4

Final answer:

The equation representing a line that is parallel to the y-axis and passes through the point (4,3) is x = 4.

Explanation:

The question is asking for an equation of a line that is parallel to the y-axis and goes through the point (4,3). In a coordinate system, a line parallel to the y-axis is a vertical line. The equation for a vertical line in the coordinate plane is of the form x = c, where 'c' is the x-coordinate of any point the line passes through. In this case, since the line passes through the point (4,3), the x-coordinate is 4. Therefore, the equation of the line parallel to the y-axis that passes through (4,3) is x = 4.

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joe divided 1.38 by .6 and what should joe's answer be?

Answers

Answer:

Step-by-step explanation:

It should be 2.3 because dividing by decimals is almost the same as dividing by normal numbers you just change the decimal point when you are done dividing.

If I worked 208 hrs out of 409 what percentage would that be?

Answers

Step-by-step explanation:

(208/409)*100%

50.85%

On the farm, rather than use money, they exchange animals. The exchanges are as follows: 4 bunnies = 3 chickens, 5 chickens = 2 pigs, 3 pigs = 2 donkeys. How many bunnies would you have to trade for a donkey?

Answers

We have to trade 5 bunnies for a donkey.

Solution:

To calculate how many bunnies could be exchanged for a donkey, we have to multiply the exchange rates of each animal/bird.

One bunny = 3/4 chickens (0.75 chicken),

One chicken = 2/5 pigs (0.4 pigs)

One pig = 2/3 donkeys (0.67 donkeys).

On multiplying all of the above rates we get,

0.75*0.4*0.67=0.2

Since we now know a bunnies worth is 0.2 donkey

Therefore, (1/0.2=5) 5 bunnies to trade for a donkey.

Jenny esta en el equipo de natación por el verano y su practica es de 4 horas por dia de la semana. El horario es el mismo es el mismo cada día. El equipo nada en la mañana y otra vez por la tarde 2 horas. Si ella nada 12 horas por semana cuanto nada cada mañana

Answers

Answer:

Jenny spent 1 hour swimming in the morning.

Jenny pasó 1 hora nadando por la mañana.

Step-by-step explanation:

Translated:

Jenny is on the summer swimming team and her practice is 4 hours per day, in a week. The schedule is the same every day. The team swims in the morning and again in the afternoon 2 hours. If she swims 12 hours a week, how much does she swim every morning?

We know that she swims 4 hours per day, mornings and evenings.

We know that one specific week she swam for 12 hours total in that week.

Let as denote the number of hours swam in a day as [tex]x[/tex].

Then we can say that in that week for 12 hours total and 4 hours swimming per day, we have:

[tex]4x=12\\x=\frac{12}{4}\\x=3[/tex]hours per day swam for that week.

Now since we know for a fact that 2 hours are spend swimming in the evening then we can subtract this from the total of 3 hours as

[tex]3-2=1[/tex] hour of swimming in the morning.

So we can conclude that on the week that Jenny swam for 12 hours total, she spent 1 hour swimming in the morning and 2 hours swimming in the evening.

En Espagnol:

Entonces podemos concluir que la semana en que Jenny nadó durante 12 horas en total, pasó 1 hora nadando por la mañana y 2 horas nadando por la noche

Write an equation of the line that passed through (7,10) and is perpendicular to the line y=1/2x-9

Answers

Final answer:

The equation of the line perpendicular to y=1/2x-9 passing through the point (7,10) is y=-2x+24.

Explanation:

To find the equation of a line that is perpendicular to another line, we need to determine the slope of the given line and use the negative reciprocal of that slope for our new line. The line given is y = ½x - 9, so the slope (m) is ½. The slope of the perpendicular line will be the negative reciprocal of ½, which is -2.

The next step is to use the point given, (7,10), and the slope of the perpendicular line to write the equation in point-slope form, which is y - y1 = m(x - x1). Plugging in our values we get: y - 10 = -2(x - 7).

Finally, we can rearrange this into slope-intercept form, y = mx + b, by simplifying and solving for y:


 y - 10 = -2x + 14
 y = -2x + 24

Therefore, the equation of the line perpendicular to y = ½x - 9 that passes through the point (7,10) is y = -2x + 24.

The cake store is having a 25% off sale on all of its cakes.
If the cake you want regularly costs dollar sign $9, how much would you save with the discount?

Answers

Answer:

The Discount would save $2.25 of the final purchase.

Step-by-step explanation:

If the cake originally costs $9, 25% of that would be $2.25 off the final purchase. So the discount would save $2.25

Answer:

With the discount, you are saving $2.25 on the cake that you want.

can you help me with 4 and 6 only? thank you

Answers

Number 4

Answer; -59

First you have to subtract -64-37-28
Then you have to add 70

I could be wrong but I hope could help.

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
A. 68% of the data points lie between 10 and 14.
B. 68% of the data points lie between 8 and 12.
C. 6896 of the data points lie between 10 and 18.
D. 68% of the data points lie between 10 and 16.

Answers

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

The correct sentence for a normal distribution with a standard deviation of 4 and a mean of 14, is that 68% of the data points lie between 10 and 18.

The correct answer is C.

About 68% of the data in a normal distribution lie within one standard deviation of the mean.

● 14−4=10 is one standard deviation below the mean, and

14+4=18 is one standard deviation above it.

Thus, the range of 68% of the data values is between 10 and 18. Option C, which states that "68% of the data points lie between 10 and 18," thus accurately sums up the dataset.

Yung’s taxable income is $36,558. He is filing as head of household, and he has already paid $4802 in federal taxes. What will he receive or pay after he figures his taxes for the year?

Answers

Answer:

He will pay $64

Step-by-step explanation:

Using the attached image, for the head of household earning $36,558, he's bound to pay $4,866 considering that his age bracket is in the last line of the image ($36,550-$36,600). However, since he has already paid $4,802 then he hasn't paid it all. He remains with a balance of $4,866-$4,802=$64

Therefore, he's supposed to pay additional $64

What is the first step to solve this equation;
11-3x=44

Answers

The first step is to subtract 11 from both sides.

When you have an equation with a variable (x), you must isolate the variable (x) by doing the opposite operation to a number on both sides of the equals sign. Also remember, addition or subtraction always comes before multiplication or division.
Final answer:

The first step to solve the equation 11-3x=44 is to isolate the variable x by subtracting 11 from both sides of the equation.

Explanation:

To solve the equation 11-3x=44, the first step is to isolate the variable x.

To do this, we need to get rid of the constant term on the left side of the equation. We can do this by subtracting 11 from both sides:

11 - 11 - 3x = 44 - 11-3x = 33

Now we have -3x = 33 as our new equation.

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Solve X^2 - 3x - 10 = 0 by using the quadratic formula

Answers

Good evening

Answer:

x = 5 or x = -2

Step-by-step explanation:

Look at the photo below for the details.

:)

Answer:

x = 5 or x = -2

Step-by-step explanation:

See the attached image for the working out.

−3(y+3)=2y+3

y = ___
(type your answer as a number, "no solution" or "infinite solutions")

Answers

Answer:

y = -5/12

Step-by-step explanation:

−3(y+3)=2y+3 (multiply -3 with inside the parenthesis)

-3y -9 = 2y +3

-3y -2y = 3+9 add like terms

-5y = 12

y = -5/12

write the fraction or mixed number as a decimal

Answers

Answer:

look below

Step-by-step explanation:

To write a fraction or mixed number as a decimal, divide the numerator by the denominator. So, for example, if you had 5/2, then you'd do 5÷2, which gives you 2.5. Hope that helped!

Round 67.6 to nearest whole number

Answers

Answer:Integer Part: 67

Fractional Part: 60

Step-by-step explanation: This is how to round 67.6 to the nearest whole number. In other words, this is how to round 67.6 to the nearest integer.

67.6 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Answer:67

Step-by-step explanation:

When you round 67.6 to the nearest whole number you take the  6 off and get 67

Will is 29​% taller than​ Wanda, so​ Will's height is​ ____% of​ Wanda's height.

Answers

Will is 29% taller than Wanda, so Will's height is 77.5% of Wanda's height.

Solution:

Let x be Will's height, and y be Wanda's height.

Since Will is 29% taller than Wanda we have,

[tex]x=1.29y \rightarrow(y+29\% \text{ of y }\rightarrow1y+.29\rightarrow y\rightarrowy(1+.29)\Rightarrow1.29y)[/tex]

Then solving for y we get,

[tex]\Rightarrow y=\frac{x}{1.29}\rightarrow y=\frac{100x}{129}[/tex]

[tex]\Rightarrow y\approx0.7752x[/tex]

Therefore, Will is 77.5% of Wanda's height.

Final answer:

Will's height is 129% of Wanda's height.

Explanation:

To calculate the percentage of Will's height compared to Wanda's height, we need to determine how much taller Will is than Wanda. If Will is 29% taller, it means his height is 129% of Wanda's height. This can be calculated by adding 29% to 100%: 100% + 29% = 129%. Therefore, Will's height is 129% of Wanda's height.If Will is 29% taller than Wanda, then he is 100% of Wanda's height (which is Wanda's total height) plus an additional 29% of Wanda's height. Therefore, if you combine these percentages, you will find that Will's height is 129% of Wanda's height.

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the midpoint of AB is M(2,-2). If the coordinates of A are (-2,1), what ate the coordinates of B?

Answers

Step-by-step explanation:

To go from A to M you need to go 4 to the right and 3 down. If M is the middle you'll need to do the same to get from M to B. So (2+4,-2-3)=(6,-5)

The price of a desktop computer after discount was $1600 if the discount was 20% what was the original price

Answers

Answer:$2,000

Step-by-step explanation:

Simplify: -26a? + (-25a7)

Answers

Answer:

-26a - 25a^7

Step-by-step explanation:

if a pentagon has a total interior angle measure of the 540-degree ad there are 5 congruent angles find the measure of one of the interior angles

Answers

Answer:

Step-by-step explanation:

interior angle = sum of interior angles/total no. of angles

= 540/5 = 108

Please help with question 1

Answers

Answer:

The volume of Solid A is 120 cm³.

Step-by-step explanation:

Given the area of the solids are in the ratio: 4 : 9

Let their actual areas be 4x² and 9x². We have assumed the common ratio as x² for easier computation.

We have area: [tex]$ A_A : A_B = $[/tex]    4x²       :     9x²

This implies, the length should have been of the ratio of the square root of these numbers.

Therefore, the ratios of the lengths is: [tex]$ \sqrt{4x^2} : \sqrt{9x^2} $[/tex]

[tex]$ L_A : L_B = 2x : 3x $[/tex]

Now, volume is cube of lengths. Therefore, the ratio of volumes would be:

[tex]$ V_A : V_B = 8x^3 : 27x^3 $[/tex]

Given [tex]$ V_B = 405 cm^3 $[/tex]

[tex]$ \implies 27x^3 = 405 \hspace{1mm} cm^3 $[/tex]

[tex]$ \implies x^3 = \frac{405}{27} = 15 $[/tex]

Hence, the volume of solid A, [tex]$ V_A = 8x^3 = 8 \times 15 = \textbf{120} \hspace{1mm} cm^3 $[/tex].

Hence, the answer.

A play was attended by 984 persons. 75% of them were adults how many adults attend

Answers

Answer:

738

Step-by-step explanation:

984 ÷ 100 = 9.84

9.84 × 75 = 738

75/100

A farm raised a total of 220
Chickens and pigs. The number of legs of the stock are 520. How many chickens and pigs are at the farm?

Answers

Answer:

180 chickens and 40 pigs

Step-by-step explanation:

We are given;

Total number of chickens and pigs as 220 Number of legs of chickens and pigs are 520

We are required to determine the number of chickens and pigs in the farm;

To answer the question we need to know the following;

1 chicken has two legs 1 pig has four legs

Assuming the number of chickens is x and the number of pigs is y

Then we can form two equations;

x + y = 220 ............for the total number of stock 2x + 4 y = 520 ...... for the total number of legs

We can solve the two equations simultaneously to find the number of chickens and pigs;

x + y = 220

2x + 4y = 520

Multiplying the first equation by 2, we get

2x + 2y = 440

2x + 4y = 520

Eliminating x, we get;

- 2y = -80

    y = 40

Solving for x;

x = 220 - y

  = 220 - 40

x  = 180

Therefore, there are 180 chickens and 40 pigs at the farm

A 7-foot by 3-foot doorway is cut into the 23 by 22 foot trapezoid wall. What is the area of the wall without the door way?

Answers

Answer:

Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]

Step-by-step explanation:

i) let length of smaller side of trapezoidal wall, a = 22 feet

ii) let length of longer side of trapezoidal wall, b = 23 feet

iii) height of trapezoidal wall, h = 3 feet

iv) area of trapezoidal wall = [tex](\frac{a + b}{2} )\times h[/tex] = [tex](\frac{22 + 23}{2} )\times 3[/tex] = 22.5 [tex]\times[/tex] 3 = 67.5 [tex]feet^{2}[/tex]

v) area of door = 7 [tex]\times[/tex] 3 = 21 [tex]feet^{2}[/tex]

vi) Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]

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