Answer:
The original length is 9 cm and the original width 5 cm
Step-by-step explanation:
The area of a rectangle A is given as the product of its' length L and width W.
Given that the width of a rectangle is 4cm less than the length then
W = L - 4
If each dimension were increased by 3cm, then the new
Length
= L + 3
Width
= W + 3
the width of the new rectangle formed would be 2/3 the length of the new rectangle
W + 3 = 2/3(L + 3)
3W + 9 = 2L + 6
3W = 2L +6 - 9
3W = 2L - 3
Recall that W = L - 4
3(L - 4) = 2L - 3
3L - 12 = 2L - 3
3L - 2L = 12 - 3
L = 9 cm
W = 9 - 4
= 5 cm
- 16 = -4(-5+ i)
Please help i can’t fail this test
Answer: i=9
Step-by-step explanation:
-16=-4(-5+i)
-16=20-4i
-20 -20
-36=-4i
Divide by -4
i=9
Answer:
i=9
Step-by-step explanation:
-16=-4( -5 +i)
-16= 20 -4i
-20 -20
_____________
-36=-4i
-36/-4 = 9
i= 9
Hope this Helps! Good luck at your test!
Convert 121
5
to mixed fraction.
Answer:
24 1/5
Step-by-step explanation:
I'm not sure if u meant 121/5 but I converted it and it's 24 as a whole number and 1/5 for the fraction
24 1/5
8.94427191 rounded to the neareast 10th
Answer:
8.9
Step-by-step explanation:
Answer:
the answer will be 8.9 if im not wrong
plsss help me.................
Answer:
(X+4)(x-4)
Step-by-step explanation:
x^-16
=(X+4)(x-4)
Need help with this;
Answer:
See belowStep-by-step explanation:
Deposit amount P = $4200Interest rate r = 3 1/2% = 3.5% = 0.035 PA compounded semiannuallyCompound n = 2 per yearCalculations as per following questions
a. I = $4200*(0.035/2) = $73.5b. A = $4200 + $73.5 = $4273.5c. I = $4273.5*(0.035/2) = $74.79d. A = $4273.5 + $74.79 = $4348.29e. I = $4348.29 - $4200 = $148.29f. I = $4200*0.035 = $147Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.
What is the surface area of the jewelry box in square inches (sq. in)?
Length of rectangles = 7 in.
Breadth of 4 rectangles = 3 x 4
= 12 in.
Side of squares = 3 in.
Area of 4 rectangles = length x breadth
= 7 x 12
= 84 sq. in.
Area of two squares = 2(side x side)
= 2(3 x 3)
= 18 sq. in.
Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.
= 102 sq. in.
5. Using the factor tree, What are the prime factors of 36
Answer:
Step-by-step explanation:
A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6. Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².
Find the perimeter of the rectangle in yards.
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option D is your answer ☺️☺️☺️
A number q divided by 5 is 8
Answer:
q = 40
Step-by-step explanation:
[tex]\frac{q}{5} = 8[/tex]
multiply 5 on boths sides:
[tex]\frac{q}{5} x 5 = 8 x 5[/tex]
q = 40
to check:
[tex]\frac{40}{5}[/tex] = 8
Answer:
q = 40
Step-by-step explanation:
5,10,15,20,25,30,35,40
1 2 3 4 5 6 7 8
For what values of t can 2x^2+tx+10 be written as the product of two binomials?
The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
What is binomial?A binomial expression is an expression that has two terms.
In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).
Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.
[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]
Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.
Learn more about Binomial:
https://brainly.com/question/3560614
Find the volume of the cone. Round your answer to the nearest tenth.
The volume of the cone is about ____ cubic inches.
What is the answer I need help please
Answer:
7 rides
Step-by-step explanation:
38 - 10 (entrance fee) = $28 to spend on rides
if it's $4 per ride, we can divide the remaining money ($28) by the cost of each ride ($4)
28 / 4 = 7
Therefore, she can ride 7 rides
7 walks and a ticket
I'm from Mexico
Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.
Answer: C. 113.1 cubic centimeters
Step-by-step explanation:
Volume of a sphere= [tex]\frac{4}{3}[/tex](3.14)(r)^3
Since we know r then just plug in to get 4/3(3.14)(3)^3= 113.1
So the answer is C
Answer:
113.04 cm3
Step-by-step explanation:
Last week, Thomas ran 5 1/4 miles. This week, he planes to run 1/2 as far as he ran last week. How many miles does Thomas plan to run this week?
Answer:
2.625
Step-by-step explanation:
Last week Thomas ran 5 1/4 miles
This week he plans to run 1/2 miles as far
Therefore the number of miles he plans to run cann be calculated as follows
= 5 1/4 × 1/2
= 21/4 × 1/2
= 21/8
= 2.625
Hence Thomas plans to run 2.625 miles
Find the common factors of the given terms:
2y, 22xy. Ok
Answer:
2y
Step-by-step explanation:
this is common factor of both the terms
because 2y divides both term
hope it helps
A plot of land is 3/8 mile by 2 1/4 miles. Spencer solves 3/8•2 1/4 to find the area of the land in square miles. Enter numbers to complete Spencer’s calculations for the area.
9514 1404 393
Answer:
23227Step-by-step explanation:
The number 2 1/4 is split into the sum 2 + 1/4, then multiplied by 3/8. This gives ...
[tex]\displaystyle\frac{3}{8}\cdot2\frac{1}{4}=\left(\frac{3}{8}\cdot\boxed{2}\right)+\left(\frac{3}{8}\cdot\frac{1}{4}\right)\\\\=\frac{6}{8}+\frac{3}{\boxed{32}}=\frac{24}{32}+\frac{3}{32}=\frac{24+3}{32}\\\\=\frac{\boxed{27}}{32}[/tex]
_____
Of course, fractions are multiplied in the usual way:
[tex]\dfrac{a}{b}\cdot\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]
Which of the following is a Prime Number? 9, 5,4
Answer:
5
Step-by-step explanation:
9 = 1,3,9
5 = 1,5
4 = 1,2,4
Anil scored 30 runs in the first innings of a test match. His score changed by +30 runs in the second innings. What was his score in the second innings?
Answer:
60 runs
Step-by-step explanation:
Given that:
Score in first innings = 30 runs
Change in score during second inning = + 30
The score in the second inning will be :
Score in first inning + change in score during second inning
30 + (+30)
30 + 30
= 60 runs
Logan is doing a handstand dive from a 12 meter platform. The equation that
models the path of her dive is given by h -4.9t2 + 12, where t is seconds.
At what height will she be after 1 second?
At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to determine the percent, p, of the ice cream that is chocolate?
Answer:
62.5 %
Step-by-step explanation:
The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups = 25 + 15 = 40
So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
p = 25/40 × 100%
p = 25/4 × 10 %
p = 6.25 × 10 %
p = 62.5 %
solve simultaneously
[tex] {2}^{x} + {3}^{y} = 9 \\ {2}^{x + 2} - {3}^{y + 1} = 8[/tex]
Answer:
I hope this helps you :)
Answer:
2x+3y=9
2x+2-3y+1=8
2x-3y=8
2x-3y+3y=8+3y
2x=8+3y
2x=8+3y
2 2
x=8+3y
2
2(x) +3y=9
2* (8+3y)/2 +3y=9
(16+6y)/2)+3y=9
2*(16+6y)/2)+3y=9
16+6y+6y=18
6y+6y=18-16
12y=2
12y = 2
12 12
y=2
12
y=0.16666666666667
2x+3 (0.16666666666667)=9
2x+0.5=9
2x=9-0.5
2x=8.5
2x = 8.5
2 2
x=8.5
2
x=4.25
What is the measure of angle DEG on circle O
9514 1404 393
Answer:
50°
Step-by-step explanation:
Angle DEG is also angle DEC. It subtends arc DC as does inscribed angle DFC. Inscribed angles that subtend the same arc have the same measure.
∠DFC = ∠DEG = 50°
Answer: 50
Step-by-step explanation: Khan Academy
FIND THE MEASURE OF THE MISSING ANGLE
Answer: the answer is 66
Step-by-step explanation: 180-90-24=66
Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚
180˚-114˚=66˚.
5.
Find the rate of change for the situation. You run 3 miles in one hour and 6 miles in two hours.
A. 3 miles
B. 3 miles per hour
C. 2 hours
D. 2 miles per hour
Answer:
c
Step-by-step explanation:
c
The momentum of a variable is represented by the rate of change. The rate of change for the situation is 3 miles per hour.
What is the rate of change?The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.
Given the distance covered in one hour is 3 miles, while the distance covered in 2 hours is 6 miles. In the given case, the rate of change for the situation, therefore,
Rate of change = (6miles-3miles)/(2hours-1hour) = 3miles/hour.
Hence, the rate of change for the situation is 3 miles per hour.
Learn more about Rate of Change:
https://brainly.com/question/12786410
#SPJ2
40 to a ratio of 2:3
Answer: 16:24
Step-by-step explanation:
add the ratio so 2+3=5
Divide from 40 so 40/5=8
multiply by individual ratios
2*8:3*8= 16:24
at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?
Answer:
Step-by-step explanation:
250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM
ill mark brainlist plss help
Answer:
5.86
Step-by-step explanation:
1 gram = 100 centigrams
Please help, will mark brainliest
Answer:
The picture is just a black screen. Please tell me the question in the comments and I will try to help!
Step-by-step explanation:
Elizabeth invests $7567 in a savings account with a fixed annual interest rate of 5% compounded quarterly. What will the account balance be after 7 years?
Answer:
FV= $10,714.81
Step-by-step explanation:
Giving the following information:
Initial investment= $7,567
Number of periods= 7*4 = 28 quarters
Interest rate= 0.05/4= 0.0125
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 7,567*(1.0125^28)
FV= $10,714.81