Given:
Height of rectangle = 4 units
Area of rectangle up to 48 square units.
To find:
The inequality which represents all the possible lengths in units of the bases.
Solution:
Let the possible lengths in units of the bases be b.
Area of rectangle = Length × width
Here, Height of rectangle = width = 4 units. So, area of rectangle is
[tex]Area=b\times 4[/tex]
[tex]Area=4b[/tex]
Area of rectangle up to 48 square units. It means the area should be less than or equal to 48 square units.
[tex]4b\leq 48[/tex]
Divide both sides by 4.
[tex]b\leq \dfrac{48}{4}[/tex]
[tex]b\leq 12[/tex]
Length can not be negative or zero.
[tex]0<b\leq 12[/tex]
Therefore, the required inequality is [tex]0<b\leq 12[/tex].
Answer:
H) b ≤ 12
Step-by-step explanation:
48/4 = 12.
12 is the only one you can divide into 48 equally.
X 48 ÷ 192: Can't do
X 48 ÷ 44: Can't do
X 48 ÷ 52: Can't do
√ 48 ÷ 12 = 4
how you know when you need to add parenthesis in an expression
Answer:
rjeov oke eieie
Step-by-step explanation:
A truck drives 65 miles per hour for 5 hours. How far has the truck traveled?
Answer:
It has traveled 325 miles
Answer:
In 1 hour truck travels 65 miles
In 5 hours, truck travels 65*5= 325 miles
Piper went to the store to buy some apples. The price per pound of the apples is $5.25 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Piper have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answer:
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
Step-by-step explanation:
Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
PLEASE HELP ME
What is the y-intercept of the function shown in the graph? Express your answer as an ordered pair.
Answer:
(0,4)
Step-by-step explanation:
Which equation matches the following graph?
Answer: y = | x-2 | - 1
Step-by-step explanation:
If you graph or look at the numbers included, they match up with the one provided
Savannah can run 1/2 mile in 300 seconds. What is
Savannah's unit rate?
10 mile per minute
2 1/2 mile per minutes
2/5 mile per minutes
1/10 mile per minute
The required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
What is the unit rate?A unit rate is a rate in which the second term is 1. In other words, a unit rate is a rate that compares two quantities, with the second quantity being expressed as 1. Unit rates are often used to express a rate per unit of measurements, such as price per item, speed per hour, or cost per pound.
here,
As given in the question Savannah can run 1/2 mile in 300 seconds to evaluate the unit rate we must convert the time given second in minutes by dividing it by 60,
300 seconds = 300/60 = 5 minutes
Now,
Unit rate = 1/2 mile: 5 minutes
Unite rate = 1/10 mile per minute
Thus, the required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
Learn more about unit rates here:
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solve for 2(5y-1)=28
answer: x=3
you divide both side by 2
An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?
Answer:
7.2 gallons
Step-by-step explanation:
2.25 x 3.2 = 7.2
Answer:
7.2
Step-by-step explanation: :>
Andre drew a plan of a courtyard at a scale of 1 to 60. On his drawing, one side of the courtyard is 2.75.what is the actual measurement of the side of the courtyard?
Answer:
165
Step-by-step explain:
1=60
2 times 60 is 120
.75=3/4
3/4 of 60 is 45
add 120 and 45
= 165
The perimeter of a square is 60. If one side length of the square is X-4, then what is the value of x
Answer:
X= 19
Step-by-step explanation:
If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.
Which is greater, 11/16 or 24/32?
Answer:
24/32
Step-by-step explanation:
24/32 is the answer because:
1) We should first try to see if we can find a common denominator so it is easier to compare and find the larger number
2) The common denominator is 32 because 16 multiplied by 2 is 32 and 11 multiplied by 2 is 22. The new fraction is 22/32
3) Finally, compare 22/32 and 24/32, we know that 24 is bigger than 22. Therefore, 24/32 is greater than 11/16
Hope this helps!
Which of the following is not an attribute of parallelograms? A)Opposite sides are parallel. B)Consecutive angles are supplementary. C)Diagonals bisect each other. D)Diagonals are congruent. My answer is D..
Answer:
the answer is D
Step-by-step explanation:
For each triangle below find the side that marked with the letter
Soh coh toa please please
Answer:
Step-by-step explanation:
Answer: All to 1 decimal place
3) a = 11.4
4) b = 11.2
5) c = 4.5
6) e = 6.4
7) f = 30.8
8) g = 67.9
Step-by-step explanation:
3) cos(18) = a/12
12xcos(18) = a
a = 11.4
4) tan(25) = b/24
b = 24xtan(25)
b = 11.2
5) cos(51) = c/7.2
c = 7.2xcos(51)
c = 4.5
6) sin(28) = e/13.6
e = 13.6 x sin(28)
e = 6.4
7) cos(47) = 21/f
f = 21/cos(47)
f = 30.8
8) sin(33) = 37/g
g = 37/sin(37)
g = 67.9
All to 1 decimal place
Evaluate each expression if a = -2, b=3, and c = 4.2.
1. a – 2b + 3c
2. 2a + (6 + 3)^2
Answer:
2.677Step-by-step explanation:
1) a-2b+3c
(-2)-2(3) +3(4.2)-4-6+12.6-10+12.62.62) 2a+(6+3)²
2(-2)+(9)²-4+8177Nelly and her famliy went on vacation to a beach resort. there are 4 large buildings. each building has 8 floors, with 27 rooms on each floor, One of the buildings is getting new carpet, and will not be available. how many rooms are available for Guests?
1) 548
2) 648
3) 448
4) 628
Answer:
648 floors.
Step-by-step explanation:
Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !
There are 15 pens and 10 pencils in a box. One object is selected at random and then replaced. Another is the selected. Find the probability that:
1. The first object selected is a pen and the second is a pencil
2. One is a pen and the other is a pencil
3. Both are pencils
4. At least one is a pen
Four questions in total
Step-by-step explanation:
1. P(pen then pencil) = 15/25 × 10/25 = 3/5 × 2/5 = 6/25
2. P(pen then pencil) + P(pencil then pen) = 6/25 + 6/25 = 12/25
3. P(pencil then pencil) = 10/25 × 10/25 = 2/5 × 2/5 = 4/25
4. P(at least 1 pen) = 1 − P(no pen) = 1 − 4/25 = 21/25
Determine the slope of a line containing the points
C (1,8) and D (3, 3). Write your answer in the form of a
fraction.
Answer:
The answer is
[tex] - \frac{5}{2} [/tex]Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{y _{2} -y _{1}}{x _{2} - x _{1}} [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C (1,8) and D (3, 3)
The slope is
[tex]m = \frac{3 - 8}{3 - 1} = \frac{ - 5}{2} [/tex]We have the final answer as
[tex] - \frac{5}{2} [/tex]Hope this helps you
Answer:
-5/2
Step-by-step explanation:
the answer is
ana wants to paint her dogs doghouse. she has 4 colors: Green,Maroon,blue and wheat. one color will cover the walls and another color will be us for the trim.(for example, green walls with wheat trim=GW). which of these answers show all the possible color conbination
Answer:
Step-by-step explanation:
Let us take this one by one. One color can pair with three colors.
Green = Maroon, Blue, Wheat = GM, GB, GW
Maroon = Green, Blue, Wheat = MG, MB, MW
Blue = Green, Maroon, Wheat = BG, BM, BW
Wheat = Green, Maroon, Blue = WG, WM, WB
So the combinations are:
GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
Which is letter B.
Answer:
A.
Step-by-step explanation:
can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!
Answer:
Corresponding angles
Step-by-step explanation:
Corresponding angles are formed when two lines are crossed by another line (which is called the Transversal) So , the angles in matching corners are called corresponding angles.
2. The area, A, of a square whose side length is n.
I need the answers because it’s already overdue please help
Answer:
area of square = l² = n²
Step-by-step explanation:
Answer:
[tex]A=n^{2}[/tex]
Step-by-step explanation:
Find area of a square
Area of square = length x width
Since a square's has the same length on all sides, we can square both sides.
Area of square = [tex]length^{2}[/tex]
If length = n
Then,
[tex]A=n^{2}[/tex]
Which statement about rational numbers is true?
All rational numbers are fractions.
Rational numbers never have repeating decimals.
Some integers are not rational numbers.
All fractions containing integers are rational numbers.
Answer:
the true one is all fractions containing integers are rational numbers is true
Step-by-step explanation:
i think
Answer:
All fractions containing integers are rational numbers.
Step-by-step explanation:
What’s this polynomial in standard form
Answer:
-[tex]3t^{3}[/tex][tex]-6t^{2}[/tex]+4t
Step-by-step explanation:
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ { - 3t}^{3} - 6 {t}^{2} + 4t}}}}}[/tex]
Step-by-step explanation:
Given terms : + 4t , -6t² , -3t³
Arrange the terms from biggest exponent to lowest exponent:
[tex] \dashrightarrow{ \boxed{ \sf{ - 3 {t}^{3} - 6 {t}^{2} + 4t}}}[/tex]
Hope I helped!
Best regards! :D
Solve.
-15 = -0.2k
k =
The formula for the volume of a cylinder is v=piR^2h where v is the volume, R is the radius, and h is the height solve the formula for R and then use it to answer the question.
A cylindrical bucket contains 615 cubic inches of water. The height of the water is 4 inches
What is the radius of the bucket, to the nearest whole number? Use 3.14 for pi
Answer: Its 6
Step-by-step explanation: The answer is 5.99894 then you round it to 6.
The radius of the bucket, to the nearest whole number, is 7 inches.
So, option A. is correct.
Here, we have,
To solve the formula v = πR²h for R, we can rearrange the equation as follows:
v = πR²h
R² = v / (πh)
R = √(v / (πh))
Given that the volume v is 615 cubic inches and the height h is 4 inches, we can substitute these values into the equation:
R = √(615 / (3.14 * 4))
Calculating the value, we have:
R ≈ √(48.98)
R ≈ 7
Therefore, the radius of the bucket, to the nearest whole number, is 7 inches.
Hence, So, option A. is correct.
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Now, graph the equation x - 2y = 7 below the
equation 8x - 4y = 56
What are the coordinates for x and y at the
intersection of the two lines?
Answer:
(7,0)
Step-by-step explanation:
What number should be placed in the box to help complete the division calculation. Pls help
Answer:
I believe it would be 4
need help with this question.. PLEASE HELP!
x + 84 = 4x
These are equal because they're vertical angles. Now, let's subtract x from both sides.
84 = 3x
Divide both sides by 3
28 = x
x + 84 = 28 + 84 = 112 degrees
can you help please??
Step-by-step explanation:
this relation is not a function cuz each x pair (domian) has only one image in y pair (codomain) so we will have all the ×-axis pairs meeting with y-axis in only one point as they have one image as this is the rule of having a function so what in front of us the positive part of x-axis has two images in y-axis
u can knew it by another way draw a vertical line and if it meets in two point or more than one then the relation is not a function s o if we draw a vertical line in the right part of the graph it will meats in two points then not a function
the domain is all the pairs of this relation taken in x-axis which are [0,infinity[ and range is the y-axis images if the fomain in x-axis which are ]-infinity, infinity[
Work out the height of a triangle with base,
base = 6.3mm and area,
Area = 35.595mm squared.
Step-by-step explanation:
formula used is height= area×3/base
35.595×2/6.3
71.19/6.3
11.3mm2 is the answer
Answer:
[tex] \huge{ \fbox{ \sf{11.3 \: mm}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \sf Given} : [/tex]
[tex] \star{ \sf{ \: Base \: of \: a \: triangle \: (b) \: = 6.3 \: mm}}[/tex]
[tex] \star{ \sf{ \: Area \: of \: a \: triangle \: (a) = 35.595 \: {mm}^{2} }}[/tex]
[tex] \star{ \sf{ \: Let \: height \: of \: a \: triangle \: be \: h}}[/tex]
[tex] \underline{ \underline{ \sf{ \: Finding \: the \: height \: of \: a \: triangle}}} : [/tex]
[tex] \boxed{ \sf{Area \: of \: a \: triangle = \frac{1}{2} * base \: * \: height}}[/tex]
[tex]\sf{Plug \: the \: values}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{1}{2} * 6.3 * h}}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{6.3h}{2} }}[/tex]
[tex] \sf{Apply \: cross \: product \: property}[/tex]
[tex] \mapsto{ \sf 6.3h = 35.595 * 2}[/tex]
[tex] \mapsto{ \sf{6.3h = 71.19}}[/tex]
[tex] \sf{Divide \: both \: sides \: by \: 6.3}[/tex]
[tex] \mapsto{ \sf{ \frac{6.3h}{6.3} = \frac{71.19}{6.3}}} [/tex]
[tex] \mapsto{ \sf{h = 11.3 \: mm}}[/tex]
The height of a triangle = 11.3 mm
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
7
(a) Olivia deposits $8600 in a bank. The interest rate is 2.6% per annum.
Find the total interest she will earn in 4 years.
Answer:
Below in bold.
Step-by-step explanation:
You do not say if the interest is simple or compound.
Simple Interest: I = PRT/100
= (8600* 2.6 * 4)/ 100
= $894.40.
Compound Interest:- amount after 4 years
= 8600(1 + 0.026)^4
= $9529.89
So the compound interest
= 9529.89 - 8600
= $929.89.