Answer:
The new area of the smaller rectangle is 16 - x² units²
Step-by-step explanation:
The dimensions of the small rectangles are 2 + x and 2 - x
∵ The length of the small rectangle is 2 + x units
∵ The length is adding by 2 units
∴ The new length = 2 + x + 2 = 4 + x units
∵ The width of the small rectangle is 2 - x units
∵ The width is adding by 2 units
∴ The new width = 2 - x + 2 = 4 - x units
∵ Area of the rectangle = length × width
∴ The new area of the smaller rectangle = (4 + x) × (4 - x)
→ Simplify it by multiplying the 2 brackets
∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)
∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)
→ Remember (+)(-) = (-)
∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²
→ Add the like terms
∴ (4 + x)(4 - x) = 16 - x²
∴ The new area of the smaller rectangle is 16 - x² units²
A builder bought 47 1/2 acres of land and divided it into lots of 2 1/2 acres each. How many lots were
there?
Answer:
19 lots
Step-by-step explanation:
i took my exam and it was right
Suppose that R and S are points on the number line. If RS=9 and R lies at -6 where could S be located
Answer:
at 3
Step-by-step explanation:
because iin a number line we have positives and negatives if rlR is at nine then S is at 3
find the slopes of the linear equations
Answer:
m is the slope.
b is the y intercept.
slope intercept is in the form: y = mx + b.
y - 4 = 3 (x - 2) [m = 3] [slope is 3]
y = 3/4x - 7 [m = 3/4] [slope is 3/4]
y + 8 = -6 (x - 1) [m = -6] [slope is -6]
y = -5x + 10 [m = -5] [slope is -5]
4x + 5y = 20 [m = -4/5] [slope is -4/5]
Explanation:
For all of these equations, make sure they are all in slope intercept form by isolating y completely, and getting it on the left side of the equation.
y - 4 = 3 (x - 2) → y - 4 = 3x - 6 → y = 3x - 2 → y = mx + b.y = 3/4x - 7 → y = mx + by + 8 = -6 (x - 1) → y + 8 = -6x + 1 →. y = -6x - 7 → y = mx + by = -5x + 10 → y = mx + b4x + 5y = 20 → 5y = -4x + 20 → y = -4/5x + 4 → y = mx + bif there are 10 people per race, and 2222 people have come in first place, then how many races have happened?
Answer:
22,220
Step-by-step explanation:
Because you multiply by 10 because 2222 times 1 is 1 person per race, so if there is 10 then you multiply by 10.
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200
Answer:
It would be 2,000x+200
Step-by-step explanation:
okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.
In 2004, Cindy had $4000 in a mutual fund account. In 2005, the
amount in the same account was $5000. If the percent increase from
2004 to 2005 was the same as the percent increase from 2005 to
2006, how much did Cindy have in this account in 2006?
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
•What is the y-intercept
Answer:
y=50
Step-by-step explanation:
25(0)+15y=750
0+15y=750
15y=750
y=50
1. (01.01 LC)
Which of the following is a rational number? (5 points)
√2, √3. √4. √5.
Answer:
root 4 is a rational number
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction of two integers, say where q is not zero.
What do you notice about the angles with vertex B and the angles with vertex e
Answer:
They have the same degree
Step-by-step explanation:
They have the same degree due to them being corresponding angles
how many times larger 1 kilogram than 1 gram
Answer:
1000
Step-by-step explanation:
1000/1=1000
I need to type more for some reason
Jacob split the cost of snacks, which was $12.24, with two friends. Before they ate, another friend joined them and paid Jacob for his fourth of the cost.
How much does Jacob need to refund each of the other two friends so that everyone pays the same amount?
Answer:
3.06
Step-by-step explanation:
12.24/4
Answer:
4.08
Step-by-step explanation:
2. Which expression is equivalent to 1/3 p + 15?
A. 1/3 (p + 45)
B. 1/3 (p + 5)
C. 3(p + 45)
D. 3(p + 5)
Answer:
1/3 ( p + 45)
Step-by-step explanations:
The table and statement show the hours worked and the amounts paid for two workers.
A table labeled Worker A Earnings. It contains a row for Hours worked with the amounts 7, 12, 21, 33, 40, and a row for Amount paid with the amounts 87.50, 150, 262.50, 412.50, and 500.
Worker B earns $11.25 per hour
Which statements about the rates of pay for the two workers are true?
Select each correct answer.
Worker A earns less per hour than Worker B.
Worker B earns more after 10 hours than worker A.
Worker A earns $12.50 per hour.
After 20 hours of work, Worker A earns more than Worker B.
1st statement is correct
2nd statement is correct.
finding the average hours worker A does and then the average amount paid i got
average hrs = 22.6 hrs and average amount paid= $250
so comparing them to one hr i got the amount paid to worker A in one hr which is $1.11
so compare to worker B earnings and find the true statements
Answers:
Worker A earns $12.50 per hour.After 20 hours of work, Worker A earns more than Worker BProof:
( Down below!! )
[ I hope this helps!!! ]
-GXLDIE <3
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question 3 options: negative x positive positive ÷ negative positive ÷ positive negative x negative negative ÷ positive positive x positive negative ÷ negative positive x negative
Answer:
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Step-by-step explanation:
1. Negative × positive = negative
- × + = -
2. positive ÷ negative = negative
+ ÷ - = -
3. positive ÷ positive = positive
+ ÷ + = +
4. negative x negative = positive
- × - = +
5. negative ÷ positive = negative
- ÷ + = -
6. positive x positive = positive
+ × + = +
7. negative ÷ negative = positive
- ÷ - = +
8. positive x negative = negative
+ × - = -
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Note: when the signs are different, they will give negative
When the signs are the same, they will give positive
which is true regardless the graphed function f(x)
Answer:
f(3)=2
Step-by-step explanation:
You go to the store and notice the people standing in line. 7 adults and 4 children. If this ratio stays the same and there 55 people in the store. how many would be children?
Answer:
20
Step-by-step explanation:
7+4=11
11*5= 55
4*5=20 :)
The number of children and adults will be 35 and 20, respectively.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
You go into the store and observe the folks in queue. There are 7 adults and 4 children. If this ratio remains constant and there are 55 people in the store.
7x / 4x = constant
Then the equation is given below.
7x + 4x = 55
11x = 55
x = 11
Then the number of adults is given as,
7x = 7 (5) = 35
Then the number of children is given as,
4x = 4 (5) = 20
The number of children and adults will be 35 and 20, respectively.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
A point has:
Ono shape
no color
no size
no physical characteristics
all of the above
The need to feed and care for young children in pre-historic society led to
A. men and women doing different tasks.
B. a mostly vegetarian diet.
C. the development of agriculture.
D. the invention of stone tools.
Answer:
B
Step-by-step explanation:
a mostly vegetarian diet
5 stars plz
Identify the y-intercept
A. 0-2
B. 0-3
C. 0-4
D. 6-2
3(4x - 2) > 7x + 19
Answer:
12x-6>7x=19
Step-by-step explanation:
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A. 2:1
B. 3:2
C. 9:4
D. 9:5
Answer:
D.
Step-by-step explanation:
Because 36:20 simplified is 9:5.
Answer:
It is D 9:5
Step-by-step explanation:
Beacuse 9x4= 36
and 5x4= 20
so 36:20 or 9:5
What is the answer to this question?
Answer:
Multiple 234 denomitor to that
Step-by-step explanation:
!!!!
Find the y-intercept in the function: 3x - 2y = 6*
hi there! the y-intercept in the function is...
3 + 3x/2
hope this helped. have a good one!
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!!!
Answer:
11fl oz/per hr divided by 5.333=2.0625 or rounded to the nearest tenth 2.1 gallons per day.
Step-by-step explanation:
Can someone please answer this question for me 3(7q−10)
Answer:
21q-30
Step-by-step explanation:
If u use the distributive property, 3*7 is 21, therefore it would be 21q, and 3*10 is 30, so, the final answer would be 21q-30.
What is angle KNL
Enter your answer in the box
[]
Answer:
20
Step-by-step explanation:
So in case you did not know, MNJ and KNL have the same angle measure, so to find x you would just set each of the eqautions equal to each other. distribute the 3 to (x + 14) and get 5x+ 2 = 3x + 42. subtract 2 from one side and do the same on the other side. this would leave your eqaution looking like this: 5x-40= 3x, next subtract 5x from both sides and you will get -2x=-40, then vide by -2 and x will equal 20
Time taken by three students to cycle a distance of 5500 m is, A took
8 min and 20 seconds, whereas B took 5 seconds more than C, who took
3 seconds less than A. Find their speed and arrange students
in the increasing order of their speed.
(Speed
Distance]
A,B,C
BAC
C, AB
C, B, A
Answer:
C,A,B
20 seconds is 1/3 of a minute
A=8 1/3
B= C + 5
B= 5 1/3 + 5
B= 10 1/3
C=A-3
C=8 1/3-3
C=5 1/3
Solve C=85x+60 for x
Answer:
it is 85x and I'm only in middle school
Simplify:
(Xy/3z/4)/4
Help me. 1,2,3, and 4 are the only options for all letters so there is no lack of information in this picture.
Answer:
Step-by-step explanation:
a: 2
b: 4
c: 3
d: 4
e: 6