9514 1404 393
Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
Jada made 8 cups of blueberry jam and divided the jam equally among 6 containers. How much jam went in each container?
Answer:
1.3 repeated is the answer
Answer:
Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container
Please help again!!!!!!!!
Answer:
94.077=90+4+0.07+0.007
Step-by-step explanation:
I hope this answered your question
Answer:
a) 94.077= 90+ 4+ 0.07 + 0.007Step-by-step explanation:
I hope it helps you ❤❤Consider the following problem: There are 722 identical plastic chips numbered 1 through 722 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 552
Answer:
Probability of reaching Chip number 552 = 1 / 722
Step-by-step explanation:
Given:
Total number of chips = 722
Chip number selected = 552
Computation:
Probability of reaching Chip number 552 = Number of chip selected / Total number of chips
Probability of reaching Chip number 552 = 1 / 722
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
Let y be a function of x such that 8x+7y=51 what is the rate of change of y with respect to x
Answer: -8/7
Step-by-step explanation:
what linear equation in slope intercept from does this graph represent?
Answer:
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Step-by-step explanation:
The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.
We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].
Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).
Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.
Let's substitute in our points.
[tex]\frac{150-100}{3-0}[/tex]
Simplify.
[tex]\frac{50}{3}[/tex]
Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].
We'll put that in our equation for a line and...bam!
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
This graph and table show the total number of cars parked in a parking lot, n, after it was open for t hours.
Plot and table. Plot has horizontal axis from 0 to 3 in increments of 1, labeled t, and vertical axis from 0 to 18 in increments of 2, labeled n. Plot shows the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 6 right parenthesis, left parenthesis 2 comma 12 right parenthesis, and left parenthesis 3 comma 18 right parenthesis. Two-column table has column Time in hours left parenthesis t right parenthesis showing values 0, 1, 2, 3 and column Number of cars parked left parenthesis n right parenthesis showing values 0, 6, 12, 18.
What is an equation showing the relationship between n and t?
Enter your answer by filling in the box to complete the equation.
n =
Answer: n = 6t
Explanation: i took the test
a triangle has 2 angles with measures of 40 degrees and 60 degrees. what is the measure of the third angle?
acute
obtuse
right
it doesnt make a triangle
Answer:
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180-40-60 = 80
80 degrees
80 degrees is an acute angle.
Answer:
It would be 80 degrees which is an acute angle
Step-by-step explanation:
A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!
the quotient of 5 ÷A is equal _ the quotient of A ÷ 5
Answer:
5÷A and A÷5=A×A and 5×5=A=25
the Pythagorean theorem
please help answer all the questions
Answer:
Step-by-step explanation:
A.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]16^{2} +20^{2}= c^{2}[/tex]
256 + 400 = [tex]c^{2}[/tex]
656 = [tex]c^{2}[/tex]
25.6 = c
__________________________________________________________
B.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]25^{2}+ 10^{2} = c^{2}[/tex]
625 + 100 = [tex]c^{2}[/tex]
725 = [tex]c^{2}[/tex]
26.9 = c
__________________________________________________________
C.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]12^{2} +10^{2}= c^{2}[/tex]
144 + 100 = [tex]c^{2}[/tex]
244 = [tex]c^{2}[/tex]
15.6 = c
__________________________________________________________
D.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]26^{2}+ 24^{2} =c^{2}[/tex]
676 + 576 = [tex]c^{2}[/tex]
1,252 = [tex]c^{2}[/tex]
35.4
__________________________________________________________
Sry it takes a lot of time to put in these equations and all that
Hope it helped!
What 12x12 I need help please help me
Answer:
144
Step-by-step explanation:
-0- Easy :D
which list shows the numbers in order in which they would appear from left to right on the number line
For the equation, decide if it is always true or never true.
x − 3 = 2x − 3 − x
Answer:
true
Step-by-step explanation:
The blue dot is at what value on the number -7 -9 line?
Answer: Y=-7 X=-9
Step-by-step explanation:
a six sided cube is rolled. find the probability of P (4) as a decimal
Answer:
.66
Step-by-step explanation:
the area of rectangular plot of land fenced all round is 2000 sq. yards and the total length of fencing 180 yards. find the length and width of plot
9514 1404 393
Answer:
length: 50 ydwidth: 40 ydStep-by-step explanation:
The perimeter is twice the sum of length and width. Then the sum of length and width is 90 yards. Their product is the area, so we have ...
x(90 -x) = 2000 . . . . where x is length or width
x^2 -90x +2000 = 0 . . . . rearrange to standard form
(x -40)(x -50) = 0 . . . . . . . factor
x = 40 or x = 50
The dimensions of the rectangular plot are 40 yards by 50 yards.
Add parentheses to the expression so that its value is 45:
5 × 4 + 8 - 3
no parentheses are needed
5 × (4 + 8 - 3)
5 × (4 + 8) - 3
5 × 4 + (8 - 3)
Answer:
first one
Step-by-step explanation:
Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arithmetic) or exponential (geometric) relationship that is being described. Finally, write the function that represents the situation.
One square inch is infected by bacteria. For every hour that passes the amount of area infected by the bacteria doubles.
Answer:
it will be a continuous model
Step-by-step explanation:
weekend weekend assume every amount of area infected by the bed period doubles as hour passes
A total of 633 tickets were sold for the school play. They were either adult tickets or student tickets. There were 67 fewer student tickets sold then adult tickets. How many tickets were sold?
Answer:
x+x-63=637 solve for x
2x=700 divide each side by 2
x=350
so 350 adult and 350-63=287 student
your answe is
287
simplify:
[tex] \frac{ \sqrt{4} }{ \sqrt[3]{4} } [/tex]
choices:
[tex]4 \frac{5}{6} [/tex]
[tex]4 \frac{1}{6} [/tex]
[tex]4 \frac{3}{2} [/tex]
[tex]4 \frac{1}{3} [/tex]
Step-by-step explanation:
= 4^1/2 /4^1/3
=4^1/2-1/3
=4^1/6
A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?
Answer:
$2750/month
Step-by-step explanation:
answer ??????????????????
Answer:
The answer is 5x
Step-by-step explanation:
WILL GIVE BRAINLIEST PLS HELP
An action figure is 5 inches tall. If the toy company modeled the action figure off of a TV star that is 6 feet 3 inches tall. What ratio did they use?
A. 15 inches = 1 inch
B. 14 inches = 1 inch
C. 14.4 inches = 1 inch
D. 1.6 inches = 1 inch
Answer:
a
Step-by-step explanation:
Allan writes down n positive integers so that the sum of those numbers is 23. When he multiples those numbers, he gets the maximum result. List all of the n positive integers that Allan has written.
Answer:
3, 3, 3, 3, 3, 3, 3, 2Step-by-step explanation:
To get maximum product we need to optimize how we break down the numbers
Its obvious we don't want number 1 to be used as it won't change the product
Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10
What is best number?
2 and 3 are the smallest, 4 can be written as two 2's5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 56 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 67 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater productSo the best is to break the number down to 2's and 3's
23 = 2*10 + 3 ⇒ 2^10*3 = 307223 = 3*7 + 2 ⇒ 3^7*2 = 4374As we see the maximum product we can get is 4374 with seven 3's and one 2.
Hence the numbers are:
3, 3, 3, 3, 3, 3, 3, 2Answer:
your answer should be 3, 3, 3, 3, 3, 3, 3, 2
Ace gained $ 176 by selling 32 meters cloth for $1496. Find his loss per meters he sold it for $1276
Answer:
Selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Step-by-step explanation:
Given that Ace earned $ 176 selling 32 meters of cloth at $ 1496, to find out his loss for each meter if he sold the total for $ 1276, the following calculation must be performed:
1496 - 176 = 1320 (stock price)
1320/32 = 41.25 (price per meter)
1276/32 = 39.87
41.25 - 39.87 = 1.37
Thus, selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Which polynomial can be factored using the binomial theorem?
81x2 + 117x + 169
81x2 + 234x + 169
6,561x4 – 9,477x3 + 13,689x2 – 19,773x + 28,561
6,561x4 – 18,954x3 + 27,378x2 – 39,546x + 28,561
Answer:
B.) 81x2 + 234x + 169
Step-by-step explanation:
Round 0.71 to the nearest tenth.
0.5
0.7
0.75
0.8
Answer:
0.7
Step-by-step explanation:
This one is simply pretty easy. the 7 in this is in the tenths place, and the 1 in this is in the hundredths place
14.976 divided by 6 with remainder
Answer:
0
Step-by-step explanation:
it's divided evenly with no remainder
Marquis started at an elevation of 3000 feet and hiked down a mountain at a constant rate. His elevation decreased 500 feet per hour.
Graph the relationship between Marquis’ elevation and time as he hiked down the mountain.
Answer:
if u divide it then slop it u will get your answer
Step-by-step explanation:
(8x-17)(5x+19)
Find the converse and x
[tex](8x-17)(5x+19)\\40x^{2}+152x-85x-323\\ 40x^{2}+67x-323[/tex]