Answer:
Length = 3 inches
Width = 7 Inches
Step-by-step explanation:
The shape of a postcard = Rectangle
L = Length
W = Width
A postcard has a perimeter of 20 inches.
Formula for perimeter of a rectangle = 2L + 2W
Hence:
2L + 2W = 20.... Equation 1
Its area is 21 square inches.
The formula for Area of a rectangle = LW
Hence:
LW = 21
L = 21/W
We substitute 21/W for L in Equation 1
2L + 2W = 20.... Equation 1
2(21/W) + 2W = 20
42/W + 2W = 20
Multiply both sides by W
42 + 2W² = 20W
2W² - 20W + 42 = 0
2W - 14W - 6W + 42 = 0
(2W - 6)( W - 7) = 0
2W - 6 = 0
2W = 6
W = 6/2 = 3
W - 7 = 0
W = 7 inches
Solving for L
L = 21/W
W = 7
L = 21/7
L = 3 inches
The dimensions of the postcard are:
Length = 3 inches
Width = 7 Inches
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The students filled 1001 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
66%
Step-by-step explanation:
Please help in these 2 last ones I need help it’s due in a couple of minutes!!
Answer:
8. Ability 9. Networking
Step-by-step explanation:
Ability is a skill you develop with practice and networking is sharing information.
how to prove converse of. basic proportionality theorem
please answer within one hour
Step-by-step explanation:
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
Answer:
two different ways of theoretical and experimental explanation
both are correct
hope they helped you
What is car leasing?
Answer:
car leasing is the leasing of a motor vehicle for a fixed period of time at an agreed amount of money for the lease.
Answer:
Car leasing is purchasing a car for however long you want while you pay for it monthly.. when your lease is over, you can continue to lease your car, buy your 1st car, or decide to do nothing.. it's really up to you.
Step-by-step explanation:
Leasing a car is easier but not really a good idea because you're wasting more money.
The scatter plot shows the average heights of children up to age 5.
Part A
Drag numbers to complete an equation for the trend line. Numbers may be used once, more than once, or not at all.
(22, 2.5, 18, 32, 4.5)
y = ?x + ?
Part B
Using the linear equation, predict the average height for a two-year old.
A. 15 inches
B. 22 inches
C. 31 inches
D. 35 inches
Answer:
(a) [tex]y = 4.5x + 22[/tex] -- The equation
(b) 31 inches
Step-by-step explanation:
Given
See attachment
Solving (a): The equation of the trend line.
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,22)[/tex]
[tex](x_2,y_2) = (4,40)[/tex]
So, we have:
[tex]m = \frac{40 - 22}{4 - 0}[/tex]
[tex]m = \frac{18}{4}[/tex]
[tex]m = 4.5[/tex]
The equation is then calculated using:
[tex]y = m(x-x_1)+y_1[/tex]
Where:
[tex](x_1,y_1) = (0,22)[/tex]
[tex]m = 4.5[/tex]
[tex]y = 4.5(x - 0) + 22[/tex]
Open bracket
[tex]y = 4.5x - 0 + 22[/tex]
[tex]y = 4.5x + 22[/tex]
(b) The height of a 2 year old.
To do this, we substitute 2 for x in [tex]y = 4.5x + 22[/tex]
[tex]y = 4.5 * 2 + 22[/tex]
[tex]y = 9+ 22[/tex]
[tex]y = 31[/tex]
The prediction is 31 inches
Answer right to get points
Answer:
72
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
18 divided by 3/4 equals 24
How do you Simplify 10-(-2)
A fruit punch recipe requires 2 cups of grape juice for every 3 cups of apple juice. How
many cups of apple juice will you need if you use 9 cups of grape juice? Use a double
number line to help you answer the question. (4)
Answer:
9 cups of grape juice = 10 cups of apple juice.
Step-by-step explanation:
2 cups of grape juice = 3 cups of apple juice
9 cups of grape juice = ? cups of apple juice
9-2=7 cups of grape juice
3+7=10 cups of apple juice
9 cups of grape juice = 10 cups of apple juice.
Which x-value is a solution to both of the following inequalities? *
19 < rand r < 25
18
o
Answer:
x=20
x=21
x=22
x=23
x=24
Step-by-step explanation:
We are given that
[tex]19<r[/tex]
[tex]r<25[/tex]
We have to find value of x which is a solution to both of the given inequalities.
First we find the solution of given inequalities
[tex]19<r<25[/tex]
The value of r lies between 19 and 25.
Therefore, the possible values of r are
20,21,22,23,24
Hence, the value of x which is the solution of both given inequalities is given by
x=20
x=21
x=22
x=23
x=24
Please help a girl out I'm so confused
Answer:28
Step-by-step explanation: 7x4 Equals 28 basketballs
X = 7
Y = 6
Y = 24
X = ?
24/6=4
7x4 = 28
Your answer is 28
Which is more, 23 ounces or 1 pound?
:)
Simplify:
(2 + 1)2
A)
3
B)
5
6
D)
9
Answer:
c) 6
Step-by-step explanation:
2(2+1)
4+2
6
Answer:
The answer is 6
Step-by-step explanation:
2+1=3
3*2=6
The perimeter of a isclose triangle is 24in and the length of the side is 4 in find the 2 other sides
Answer:
10 inches
Step-by-step explanation:
Given
Shape: Isosceles Triangle
[tex]Perimeter=24\ in[/tex]
[tex]Side = 4\ in[/tex]
Required
Find the length of the other two sides
Represent the other sides with x.
Since it is an isosceles triangle, 2 sides are equal.
So, we have:
[tex]x + x + 4 = 24[/tex]
[tex]2x + 4 = 24[/tex]
Collect Like Terms
[tex]2x = 24-4[/tex]
[tex]2x = 20[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{20}{2}[/tex]
[tex]x = \frac{20}{2}[/tex]
[tex]x = 10[/tex]
The other sides are 10in each
Miss Hillard is purchasing candy hearts to distribute to 28 students in her math class and Valentine's Day issue would like each students get a minimum of 15 candy hearts how many will she need to purchase
Answer:
She needs to buy 420 candy hearts.
Step-by-step explanation:
15*28 = 420
15 per student, and there is 28 students
The number of candy hearts that she needs to purchase will be 420.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Miss Hillard is buying treats hearts to disperse to 28 understudies in her number-related class and Valentine's Day issue would like every understudy to get at least 15 sweets hearts.
Then the number of candy hearts that she needs to purchase will be given as,
⇒ 15 x 28
⇒ 420
The number of candy hearts that she needs to purchase will be 420.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
pls tell the answer to this question pls
The instructions in the kite book state that sin ∠ABC = . Since the two right triangles that make up the kite are congruent, then sin∠CBD = as well. Using the definition of sine, what is AB? Show your work
Answer:
Exact answer
Step-by-step explanation:
Answer:
Plato
Step-by-step explanation:
sin<ABC= 1/2
AC/AB = 1/2
AC= 60 cm
60/AB= 1/2
AB= 120
What’s the answer???
Answer:
17
Step-by-step explanation:
Pls help me no need explanation ❤️ 24 pointsss
Answer:
3 4/60
Step-by-step explanation:
I’ll mark brainliest again to the first answer
Answer:
Yes i am pretty sure it is 3/5
Step-by-step explanation:
BEcause y is always over x in this kind of math
20 POINTS IF YOU GET THIS I NEED HELP
Answer:
sum=3.2559347
Step-by-step explanation:
product= 2x6x2 798.364
did it on edginuty and got it right
Ok so this is a question Im too dum to answer, please help :(
Answer:
6z^3 + 4z^2 + 5
Step-by-step explanation:
Combine like terms from each side of the expression.
(4z^3 + 2z^3) + (3z^2 + z^2) + (8 - 3)
6z^3 + 4z^2 + 5
Complete the pairs of corresponding parts if ARSTE ATXY.
S.
R
7
ZR=
ZXYT
LXTY
ZTXY
From the given triangles RST and TXY, angle R is equal to angle XTY. Therefore, option B is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that, ΔRST≅ΔTXY.
We know that, corresponding parts of congruent triangle are equal
Here, ∠R=∠XTY
Therefore, option B is the correct answer.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ7
Suppose that AHIJ is isosceles with base IJ.
Suppose also that m ZI= (3x+34)° and mZJ=(2x+40)º.
Find the degree measure of each angle in the triangle.
H
(3x + 34)
(2x + 40)
Answer:
x= 0.333 if this help well there
Answer:
m∠H = 76°Step-by-step explanation:
Given triangle HIJ with:
∠I ≅ ∠Jm∠I = 3x + 34m∠J = 2x + 40Find the value of x first, solving the following equation:
3x + 34° = 2x + 40°3x - 2x = 40° - 34°x = 6°Find the angle measure of I and J:
3*6° + 34° = 18° + 34° = 52°Find the measure of angle H:
m∠H = 180° - 2*52° = 180° - 104° = 76°Today,everything in the store is on sale. The store offers 20% discount. The regular price of a dress shirt is 50$. How much money is the 20% discount worth?
Answer:
ncjkrnfkcrd
Step-by-step explanation:
nkxdnjnxjenk
Answer:
$40
Step-by-step explanation:
The population of a suburb is 4000 people. The population of the suburb
is expected to double each decade. The expression 4000 • 2d models the
population of the suburb after each decade d.
Please Answer: Evaluate the expression for
d = –2.
Answer:
1000
Step-by-step explanation:
The population of the suburb after each decade d is given by the equation as follows :
[tex]P=4000\times 2^d[/tex]
We need to evaluate the expression for d = -2.
Put d = -2 in the above equation. So,
[tex]P=4000\times 2^{-2}\\\\=4000\times \dfrac{1}{2^2}\\\\=4000\times \dfrac{1}{4}\\\\=1000[/tex]
So, if d = -2, then the population of the suburb is equal to 1000.
PLEASE HELP ITS URGENT
Answer:
20
12
16
Step-by-step explanation:
if the y colume is equal to whatever is in the x column if you multiply the x column by 4, so 5 times 4 is 20 ec.
A football team lost 9 yards on each of three consecutive plays. What was the team's
total change in position for the three plays?
Answer:
27 yrds
9x3=27
your welcome
expand 4(3x-5)
will mark brainliest
Answer:
12x-20
Step-by-step explanation:
4×3x=12x
4×-5=-20
therefore,
12x-20
Answer:
4(3x-5)
Distribute
4 ( 3 − 5 )
1 2 − 2 0
Solution
1 2 − 2 0
PLEASE ANSWER ASAP!!!!!!!!!
Answer:
Step-by-step explanation:
You would divide the yards by 5 to get the inches.
Length - 2in
width - 2 2/3
A line is given by the equation 9x + 2y = 10. Which equation gives a line perpendicular to this line?