Question:
Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?
Answer:
[tex]x \le 18[/tex]
Step-by-step explanation:
Given
[tex]Border\ Material = 72[/tex]
Required
Determine an inequality for x
Represent the side lengths of the border with y. So:
Since the border is on the 4 sides, then
[tex]4y = 72[/tex] -- i.e. the perimeter of the border material
Solve for y
[tex]y =\frac{72}{4}[/tex]
[tex]y =18[/tex]
Recall that x represents the board's side length.
Since x will be situated inside the boarder, then.
[tex]x \le y[/tex]
Substitute [tex]y =18[/tex]
[tex]x \le 18[/tex]
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest. What is the total amount that Mr. Juarez will have in his account at the end of 3 years?
Answer:
$576.80
Step-by-step explanation:
We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.
We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.
We will use simple interest formula to solve our given problem.
[tex]A=P (1+rt)[/tex]
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 1% into decimal form,
1%=1/100=0.01
P=$560 and t=3
A=$560 (1+0.01(3))
A=$560 (1+0.03)
A= $560 (1.03)
A= $576.80
Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!
what is the equivalent to
Answer:
2^(5/2)
Step-by-step explanation:
2^0 = 1, so the given expression immediately becomes
2^3
------------ = 2^(5/2) (we subtract 1/2 from 3, obtaining 5/2)
2^(1/2)
A circular lake has a circumference of 24 miles. To the nearest hundredth of a mile, what is the radius of the lake?
Answer: 45.84, or 46 miles rounded up
HOPE THIS HELPS
nothing.abjrlqgruqerqeregdg
please factor this 9a² + 12ab + 4b²
Answer:
(3a + 2b)(3a + 2b)
Step-by-step explanation:
9a² + 12ab + 4b²
(3a + 2b)(3a + 2b)
Answer:
(3a+2b)(3a+2b)
Step-by-step explanation:
=9a^2 + 12ab + 4b^2
=9a^2 + 6ab + 6ab +4b^2
=3a(3a +2b) + 2b(3a + 2b)
=(3a + 2b) (3a + 2b)
A small business office uses 1,613 pieces of paper every 4 days. Which is a reasonable estimate for the pieces of paper the business office uses in 7 days?
A)6,400
B)11,200
C)2,800
D)3,200
Answer:
The answer is c.
Step-by-step explanation:
Hope this helps =)
Answer:
C. )2,800
Step-by-step explanation:
Help
Determine which is the better buy. Show all work! Explain.
Hand soap: A B
Cost: 1 4
Ounces 8 50
Answer:
Soap A is a better buy.
Step-by-step explanation:
Soap A is 1 dollar with 42 more ounces.
Soap B is 4 dollars with 42 ounces less.
You should be paying 1 dollar for 42 ounces more than 4 dollars for 42 ounces less.
Let me know if that helps!
4600 X 1.04 to the power of 7?????
Answer:
6053.28618448
no is the power of 6
Answer:
4784 to the power of 7
Step-by-step explanation:
i'm not sure if i interpreted what you wrote correctly, but if its ((4600*1.04)to the power of 7), then my answer would be correct.
if it was 4600*1.04 (where 1.04 would be to the power of 7), then the answer would be about 6053.28618, or 4600*26 to the power of 7/ 25 to the power of 7
How do I do these two? I’m so confused-
Answer:
1: 58
2: 140
Step-by-step explanation:
For blank 1:
arc SU is 180, this is because its the angle of the diameter.
arc TU is 122, because its the double of angle S, so 61 times 2 is 122.
- We know that a circle is 360 degrees, so 180 + 122 is 302
-Therefore 360-302=58.
For question 5:
Arc CA is 180, because it's the angle of the perimeter
Arc BC is 40, because its the double of angle A, so 20 times 2 is 40.
- We know that a circle is 360 degrees, so 180 + 40 is 220.
- Therefore 360-220=140
Amanda buys 4 tickets to the baseball game for $24 each. Which equation
shows the closest estimate of the total amount Amanda spends?
Answer:
4x24
Step-by-step explanation:
Answer:
4x24= 96, Amanda spends 96 dollars on tickets
Step-by-step explanation:
4x24=96
4 tickets x 24 dollars each
4x24
96
4
What is the value of k in the equation shown below?
3k - 5 = 0.8k + 3(2- k) + 4.6
F k = -2
G k = -3
H K = 3
J K = 7
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
Hey There!
The Answer = 2
[tex]5(x + 2) = 20 \\ x + 2 = 20 \div 5 \\ x + 2 = 4 \\ x = 4 - 2 \\ x = 2[/tex]
Answer:
x=2
Step-by-step explanation:
5(2x+2)=20
5(4)=20
20=20
answer but no links. quickly please
Answer:
1. 18
2.3 and 3/4
3.6 and 1/4
Step-by-step explanation:
3 by 6 equals 18 since 12 divided by 2 is 6
15 divided upon 4 is 3.75 or 3 3/4
50 divided by 8 equals 6.25 or 6 1/4
A local hamburger shop sold a combined total of 375 hamburgers and cheeseburgers on Friday. There were 75 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday? hurry please lol
Answer: 225 hamburgers were sold on friday
Step-by-step explanation:
Let x represent number of hamburgers
and x-75 represent cheeseburgers
such that total hamburgers and cheeseburgers sold on Friday equaling 375 can be represented as
x + (x-75) =375
2x-75=375
2x=375+75
2x =450
x=450/2=225
Hamburgers =225
cheeseburgers= x-75=225-75=150
Select all expressions that are equivalent to 6+18i.
Answer:
The 3rd and the 5th
2(3+9i) , 6(1+3i)
Step-by-step explanation:
An animal rescue center has an adoption event. People adopt 84 animals at the event, which is 70% of the animals at the center. How many animals were at the center before the adoption event? Explain your reasoning
Answer:
120
Step-by-step explanation:
Find how many were there before the adoption event by dividing 84 by 0.7
84/0.7
= 120
So, there were 120 animals before the adoption event
Find the surface area of the triangular pyramid
Answer:
[tex](16 \times 13 \times 0.5) \times 4 + 13 \times 13[/tex]
Solve for x in the following equations: 9x + 10y = 17 when y = 8
A) 8
B) -7
C) 5
D) 10
Answer:
-7
Step-by-step explanation:
Answer:
9x+10*8=17
9x=17-80
9x= -63
X= -63/9
so X=. -7
hope it helps
please help!! and please show work if possible! :)))
Answer:
Step-by-step explanation:
No they are not similar triangles.
In similar triangles, corresponding side will be in same ratio.
[tex]\frac{KM}{NC}=\frac{36}{28}=\frac{9}{7}\\\\\\\frac{KL}{PN}=\frac{24}{16}=\frac{3}{4}\\\\[/tex]
Corresponding sides are not in same ratio. So these are not similar triangles
3. Find the value of x in the diagram below
X
6 cm
5
4 cm
3 cm
R
Answer:
4cm is the correct answer
Determine if the two triangles are congruent. If they are, state
the condition.
you can combine radical expression by adding or subtracting if they have the same index and radicand. True or false
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Two of the radicals have the same index and radicand, so they can be combined. Rewrite the expression so that like radicals are next to each other. Combine. Although the indices of and are the same, the radicands are not—so they cannot be combined.
In the given figure x = 145º. What theorem can be used to prove the lines p and a
are parallel?
A) Alternate interior angles converse theorem
B) Same side interior angles converse theorem
C) Alternate exterior angles converse theorem
D) Corresponding angles converse theorem
Answer:
C) Alternate Exterior Angles Converse Theorem
Step-by-step explanation:
Jaxon built a treehouse with a base of 12 square yards. The volume of his treehouse was 108 cubic yards, how tall is the prism? Explain your answer.
Answer:
h = 9 yds, assuming his treehouse is a rectangular shape. 9 yds seems pretty high.
Step-by-step explanation:
area = bh
108 yd³ = 12 yd² x h
h = 108/12 = 9 yds
The prism is 9 yards tall
What is the Volume of Rectangular Prism?
The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.
Given: base of the treehouse= 12 yards²
volume of the treehouse = 108 yards³
To find : how tall is the prism ( height of the treehouse) = ?
Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,
where "l" stands for base length
"w" for base width.
"h" refers to the prism's height.
Steps for calculating the height
Step 1: The foundation area of 12 square yards has previously been specified.
Step 2: The prism's volume is 108 cubic yards
Step 3: The given rectangular prism's volume = base area x height
=> 108 cubic yards = 12 x h
=> 108/ 12 = h
=> h = 9 yards
Since , the prism is 9 yards tall
To learn more about: volume of rectangular prism
Ref: https://brainly.com/question/28060173
#SPJ2
what is 15 times 3 by 7
Answer:
6.42857142857
Step-by-step explanation:
Answer:
6 3/7
Step-by-step explanation:
Answer this question to get marked as barinliest!!!!
This is science btw(i couldn't find the category so i put a popular category lol). Offering brainliest!!!
Answer:
1. Abiotic is the third answer
2. Biotic is the first answer
3. flora is the second answer
4. fauna us correct
Step-by-step explanation:
If
HELPPP DUE IN 10 more min PlEaSe NO LINKS!
How do you write 1.98E8 in scientific notation?
Answer:
1.98x10^8
Step-by-step explanation:
Answer:
198000000
Step-by-step explanation:
where the dot it you count back words 8 times. you put 1.98 than count back 8 times remove the do than you got 198000000
Hope this helps :)
Which of the following statements are true for rectangle OLMN? select all that apply
Answer:
The answers are It is a quadrilateral and Both pairs of opposite sides are parallel.
Hope this helps.