The square with a side length of [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches, compared to the area of the rectangle which is 5.25 square inches.
To determine which shape has a larger area, let's calculate the area of both the rectangle and the square. The rectangle measures 7 inches by 3/4 inch, so its area is calculated by multiplying these dimensions:
Area of the rectangle = length ×width = 7 inches × [tex]\frac{3}{4}[/tex] inch = [tex]\frac{21}{4}[/tex] square inches or 5.25 square inches.
The square has a side length of [tex]2\frac{1}{2}[/tex] inches, which is equivalent to 2.5 inches. Hence, the area of the square is:
Area of the square = side ×side = 2.5 inches × 2.5 inches = 6.25 square inches.
Comparing the two, we can see that the square with a side length of [tex]2\frac{1}{2}[/tex] inches has a larger area of 6.25 square inches compared to the rectangle's area of 5.25 square inches.
Solve for x in this equation: a - bx = cx + d
Answer:
a - d / b + c = x
Step-by-step explanation:
a - bx = cx + d
a = bx + cx + d
a - d = bx + cx
a - d = x ( b + c )
a - d / b + c = x
Answer:
1. cx
2. a
3. x
4. (-b -c)
Step-by-step explanation:
1. Subtract cx - from both sides
2. Subtract a from both sides
3. Factor x
4. Isolate x by dividing both sides of the equation by (-b -c)
An architect was building a
hotel downtown. He
bought 399 lamps to put in
the rooms. If each room
gets 7 lamps, how many
rooms does the hotel
have?
Answer:
57
Step-by-step explanation:
what transformation transforms (a, b) (a, -b)
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
We have
(a, b ) → (a, - b ) ← reflection in the x- axis
Answer:
Put random numbers into your points and check the quadrants
Step-by-step explanation:
Solve the following equation for W: 5(w-2)+10=3(2w-9)+5
Answer:
w=22
Step-by-step explanation:
5(w-2)+10=3(2w-9)+5
1) Use the Distributive Property for 5(w-2) and 3(2w-9):
5w-10+10=6w-27+5
2) Combine alike terms:
5w=6w-22
3) Add a 22 to both sides:
22+5w=6w
4)Subtract 5w from both sides:
w=22
please help ! I'm so confused
Answer:
okay, so you need to add the two angles that you already have and the subtract 180* from it and thats your answer. ( at least i learned it that way. lol )
Step-by-step explanation:
Please Help and I will vote you as the brainiest
Simplify (x−5)(x2−2x−6)
x3−7x2+4x+30
x3−5x2+10x+30
x3−7x2+16x+30
x3+x2−4x+30
(x−5)(x2−2x−6)
mutiply the brackets together
(x)(x^2)=x^3
(x)(-2x)=-2x^2
(x)(-6)=-6x
(-5)(x^2)=-5x^2
(-5)(-2x)=10x
(-5)(-6)=30
x^3-2x^2-6x-5x^2+10x+30
x^3-2x^2-5x^2-6x+10x+30 ( combine like terms)
x^3-7x^2+4x+30
Answer: x3−7x2+4x+30
Answer:
I can confirm that the answer above is indeed correct.
Step-by-step explanation:
One painting shows 520 different types of ladybugs.
Another painting shows 750 different types. How many
times as great is the value of the digit 5 in 520 than the
value of the digit 5 in 750? How do you know?
Answer:
10 times greater
Step-by-step explanation:
the 5 in 520 is in the hundreds place value
The 5 in 50 is in the tens place value
50 *10 = 500
From units to tens-------------Multiply by 10 (2*10=20)
From tens to hundreds-------Multiply by 10 (20*10=200)
From hundreds to thousands----Multiply by 10 (200*10=2,000)
And so on
The value of 5 in 520 is in the hundreds place, so it equates to 500. Conversely, the 5 in 750 is in the tens place, meaning it equals 50. Thus, the 5 in 520 is 10 times greater than the 5 in 750.
Explanation:This question pertains to the place value in numbers, an essential mathematical concept. In the number 520, the digit 5 is in the hundreds place, which means its value is 5*100 = 500. On the contrary, in the number 750, the digit 5 is in the tens place, hence, it's value is 5*10=50.
Therefore, to find out how many times the value of the 5 in 520 is greater than the value of the 5 in 750, divide the value of the 5 in 520 (which is 500) by the value of the 5 in 750 (which is 50). So, 500 divided by 50 equals 10. This reveals that the value of the digit 5 in 520 is 10 times greater than the value of the digit 5 in 750.
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Mike works two part time jobs while going to college. He works 8 and half hours a week at the ice-cream store for $10.55 per hour and 7 hours a week at the movie theater for 13.85 per hour. Work each of the following problems in decimal form.
1. How much does Mike earn a week before taxes are taken out of his paycheck?
2. If 22 percent of Mike’s paycheck is withheld for taxes, how much money is left for Mike?
3. At which Job does Mike earn the most before taxes, how much more?
4. If Mike spends $50 a week on entertainment, what percent of Mike’s paycheck is left after he pays taxes? In decimal form.
Answer:
1.$186.63
2.$145.57
3.$7.27 more
4.65.65%
Step-by-step explanation:
Mike has two part time jobs.
Job 1: Ice-cream store
Number of hours worked= 8.5 hours
Payment per hour=$10.55
Job 2: Movie theater
Number of hours worked=7 hours
Payment per hour=$13.85
1. Earnings per week before taxes
⇒For job 1 will be; the product of hours worked and hourly payments
= 8.5×$10.55 =$89.68
⇒For job 2 will be;
=7×$13.85=$96.95
Total=$89.68+$96.95=$186.63
2. Calculate amount taken as tax
Find 22% of the amount earned
= 22/100 * 186.63 =$41.06
Remaining amount after tax will be;
=$186.63-$41.06=$145.57
3.
The job that Mike earns the most before taxes is at the Movie theater.
How much more will be; Earnings at Movie theater-Earnings at the Ice-cream store
=$96.95-$89.68
=$7.27 more
4.
After paying taxes the amount remaining is $145.57
After spending $50 on entertainment,the amount left will be;
$145.57-$50=$95.57
so to find the percent of remaining amount of Mike's paycheck will be;
95.57/145.57 *100=65.65%
What are the values for the coefficients and constant term of 0 = 2 + 3x - 5x?
George said that 6x10 third power is 180 do you agree or disagree explain the mistake that he made and find the correct answer
First off, I'm going to assume you meant 6 * 10^3
George is wrong.
6 * 10^3 power equals 6000. The power of 3 equals 3 zeros.
George did 6 * 10 * 3, but we are working with exponents
Hope this helps!
Answer:
Disagree
Step-by-step explanation:
George multiplied 10 * 6 by three instead of raising it to the third power, like this: 60*60*60
What is the answer to this question
Answer:
- 1, 1, - 3
Step-by-step explanation:
To obtain the value of f(1), we require the corresponding value of y from the graph when x = 1
From the graph
when x = 1 the value of y on the graph is - 1 ⇒ f(1) = - 1
Similarly
f(3) means what is the value of y corresponding to x = 3
From the graph when x = 3 then y = 1 ⇒ f(3) = 1
and f(- 1) = - 3
What is the value of -27-8
A.-35
B.-19
C.19
D.35
Answer:
a. -35
Step-by-step explanation:
-28 - 8 = -35
Answer:
A. -35
Step-by-step explanation:
When subtracting two negative numbers, you are essentially adding the numbers and adding the negative sign next to it:
-27 - 8 = - (27 + 8) = - (35)
A. -35 is your answer.
~
the bakers at Healthy bakery can make 170 bagels in 5 hours. how many bagels can they bake in 13 hours? what was the rate per hour
Answer:
442
Step-by-step explanation:
170/5 (to find per hour)
34*13 = 442
Answer:
The rate per hour is 34 bagels per hour. They can bake 442 bagels in 13 hours.
Step-by-step explanation:
Rate per hour:
170/5= 34
You do this because you want to find the amount of bagels they can bake in 1 hour, which is found through 170/5.
Bagels in 13 hours:
34*13= 442
You use the unit rate established, 34 bagels per hour, and multiply it by 13 hours, 13*34.
What is the slope of the line represented by the equation 3x+4y= 12 ? –4/3 –3/4 3/4 4/3
Answer:
slope = - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 4y = 12 into this form
Subtract 3x from both sides
4y = - 3x + 12 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Answer:
Step-by-step explanation:
This all u need my dud
What is the intersection of the given lines?
AB and EB
Answer:
point b
Step-by-step explanation:
Shelly spent 10 minutes jogging and 20 minutes cycling and burned 300 calories. The next day, Shelly swapped times and did 20 minutes of jogging and 10 minutes of cycling, burning the same number of calories. How many calories were burned for each minute of jogging and how many for each minute of cycling?
Answer:
10 calories were burned for each minute of jogging and 10 calories were burned for each minute of cycling.
Step-by-step explanation:
Let be "j" the amount of calories Shelly burned for each minute of jogging and "c" the amount of calories Shelly burned for each minute of cycling.
Set up a system of equations:
[tex]\left \{ {{10j+20c=300} \atop {20j+10c=300}} \right.[/tex]
You can apply the Elimination method: multiply the first equation by -2, then add the equations and solve for "c":
[tex]\left \{ {{-20j-40c=-600} \atop {20j+10c=300}} \right.\\...............................\\-30c-300\\\\c=10[/tex]
Now, substitute the value of "c" into any original equation and solve for "j":
[tex]10j+20(10)=300\\\\10j=300-200\\\\10j=100\\\\j=10[/tex]
Write a possible exponential function in y=ab^x form for the graph described below.
-> Has a y-intercept of (0,3) and passes through the point (2,48)
Answer:
Step-by-step explanation:
Any [tex]b\neq 0[/tex] raised to the 0-th power will give 1. So [tex]a=3[/tex]
Once you know that, from the passing through (2,48) you get:
[tex] 48=3b^2\\ 16=b^2 b=4 [/tex]
Notice that,even if -4 satisfies the condition, exponential functions are defined only and only if the base is positive and not equal to 1. (if the base was 1, you'd get an horizontal line, and with a negative base the function starts losing meaning in the real plane in a series of points.
To write the exponential function in y = ab^x form, we use the given y-intercept and a point on the graph to find the values of 'a' and 'b'.
Explanation:To write the exponential function in y = ab^x form, we need to find the values of a and b.
Based on the information given, we know that the y-intercept is (0,3), which means that when x = 0, y = 3.
So, we have the equation 3 = ab^0, which simplifies to a = 3. Now, using the point (2,48), we can substitute the values of a and x to find the value of b. We get 48 = 3b^2, which simplifies to 16 = b^2. Taking the square root, we find that b = 4. Therefore, the exponential function is y = 3 * 4^x.
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WHAT DOES 12F+24 REPRESENT
Answer:
12(f + 2)
Step-by-step explanation:
12F + 24 = 12 (f + 2)
Answer:
It is an algebraic expression that has an answer which can be determined by multiplying a known value of variable F by 2, and adding 24 to the outcome.
Step-by-step explanation:
2F + 24 is an algebraic expression which implies that if a variable F is multiplied by 2 and 24 is added to it, there would be a certain outcome. This expression has no answer unless the value of F is known.
By factorisation, the expression can be re-written as:
2F + 24 = 2 (F + 12)
which would give the same answer as the initial expression.
Therefore, the given algebraic expression represents a value which can be determined by multiplying a known value of variable F by 2, and adding 24 to the outcome.
WILL GIVE BRAINLIEST IF ANSWER CORRECT,
What is the value of x?
Step-by-step explanation:
It is a heptagon
sum of internal angle = 900
X + 120 + 158 + 126 + 125 +121 + 139 = 900
X + 789 = 900
X = 900 -789
X = 111 degree
What is the value of 22x + 3 when x = 5? How much money is 22 nickels and 3 pennies?
Answer:
113
$1.13
Step-by-step explanation:
22x + 3 when x = 5 is written 22(5) + 3
You multiply first, 22(5) = 110 + 3 = 113
a nickel is worth .05 so you mulitply .05 x 22 which gets you 1.1 and 3 pennies is .03 and when you add the two together you get $1.13
Answer: The value of 22x+3 is 113. The amount of money that equals 22 nickels and 3 pennies. That answer is also 1113.
Step-by-step explanation:
For the first problem u want to basically do 22 times 5 and that gives you 110. Then after doing that u want to do 110+3 which equals 113.
For the second one since nickels equal 5 cents u want to do 22•5 which gives you 110 and then you do 110+3 and that gives you 113.
Ally works in a shop for $18 per hour
Answer:
You have to finish the question lol
Step-by-step explanation:
Ravi scores 247 points in a video game.how many more points does he need to score a total of 650?
Answer:
403 points
Step-by-step explanation:
Subtract 247 from 650
7(3r - 1) - (r + 5) = -52
Please step by step help
Answer:
r = -2
Step-by-step explanation:
7(3r - 1) - (r + 5) = -52 distribute (the - sign too)
21r - 7 + -r - 5 = -52 add/ subtract like terms
20r - 12 = -52 subtract -12 and added to -52
+12 +12
20r = -40 divide by 20
20r/20 = -40/20
r = -2
find the distance between the points E(3,7) and F(6,5)
Answer:
-2/3
Step-by-step explanation:
y1 -y2 / x1 - x2
7 - 5 = 2
3 - 6 = -3
-2/3 = slope
Answer:
3.60555127...
Step-by-step explanation:
I NEED THIS REALLY QUICK ILL GIVE BRAINLIEST AND 5 STARS PLEASE AWNSER
5+4*2+6-2*2-1
insert parentheses to change the value to 19 show work
Answer: (5+4) * 2 + 6 - 2 * 2 - 1
Step-by-step explanation:
(5+4) * 2 + 6 - 2 * 2 - 1
(9) * 2 + 6 - 2 * 2 - 1
18 + 6 - 2 * 2 - 1
18 + 6 - 4 - 1
24 - 4 - 1
20 - 1
19
On average, Christopher scores 2 goals in a soccer game but, depending on how well the opposing team is playing, his goal total can vary from the average by 1 goal. Which absolute value equation can be used to calculate Christopher's maximum and minimum goals per game? Let x represent the maximum and minimum goals. |x−2|=1 |x+2|=1 |x−1|=2 |x+1|=2.
Answer:
Jorge, do your own work
Answer:
Step-by-step explanation:
On average Christopher scores 2 goals per game
If the play is hard his goal total varies by 1 from the average
If the play is easy his goal total varies by 1 from the average
That is Christopher can score 1 goal more or 1 goal less depending upon the opponent team
He score maximum goals of 3 in a game or 1 in a game
The equation |x-2| = 1
When x = 3
|3-2| = 1
|1| = 1 True
When x = 1
|1-2| = 1
|-1| = 1
1 = 1 True
There are 54 students in the auditorium, 28 girls and 26 boys. What is the
ratio of girls to boys in the auditorium?
Hey!
---------------------
We Know:
54 students.
28 boys.
26 boys
---------------------
Solution and Answer:
28:26 (Ratio Un-Simplified)
14:13 (Ratio Simplified)
14/13 works to!
---------------------
Hope This Helped! Good Luck!
Answer:
28:24 reduced to 7:6
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
please answer asap
Answer:
If you think numbers with fractions are annoying, consider transforming the number into fractions!
Step-by-step explanation:
7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day
3. © MP.6 Be Precise Devin brought his snail collection
to school. He has 10 snails.
How could he put them into 2 tanks so two classes
could see them?
Write equations for all the possible ways.
One of the ways is given.
Explain how you know you have found all the ways.
Answer:
See explanation
Step-by-step explanation:
Devin brought his snail collection to school. He has 10 snails.
the smallest number of snails in the tank is 0 and the greatest number of snails in the tank is 10. Also the number of snails in each tank must be a whole number (Devin cannot put half of the snail into the tank). There are 11 whole numbers between 0 and 10.
Hence, all 11 possibilities to divide snails into two tanks are:
[tex]\begin{array}{cc}\text{Tank 1}&\text{Tank 2}\\ \\0&10\\1&9\\2&8\\3&7\\4&6\\5&5\\6&4\\7&3\\8&2\\9&1\\10&0\end{array}[/tex]
The sums of two numbers in each row must be exactly 10 as the total number of snails Devin has.
Alicia bought 5.75 yards of fleece fabric to make blankets for a charity. She needs 1.85 yards of fabric for each blanket . How many blankets can alicia make with the fabric she bought
Alicia make 3 blankets with the fabric she bought.
Given, Alicia bought 5.75 yards of fleece fabric.
For one blanket She needs 1.85 yards of fabric.
We have to calculate the no. of blankets.
So, the no of blankets will be,
[tex]N=\frac{total \ yards}{yard\ needed \ 1 \ blanket}[/tex]
[tex]N=\dfrac{5.75}{1.85} \\\\N=3.10810[/tex]
Since the number of blanket must be a whole number so number of blanket here is 3.
Hence Alicia make 3 blankets with the fabric she bought.
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