Step-by-step explanation:
To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?
L=length=15.5 ft; W=width; A=area=>217 sq ft
L*W=>217 sq ft Divide each side by L
W=>217 sq ft/L
W=>217 sq ft/15.5 ft=>14 feet
ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.
Answer:
at least 14 ft
Step-by-step explanation:
The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.
A = LW . . . . . . . . . area formula
A ≥ 217 ft² . . . . . . . . . given constraint
(15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length
W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft
The possible width of the region is at least 14 feet.
What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
Answer:
x = 3
Step-by-step explanation:
The pattern is that every other number increases by 1, while the next decreases by 2
1. 17,18,19,20
2. 9,7,5,x
5-2 =3
3 is the answer.
Solutions:
Odd Terms: 17, 18, 19, 20
Find the common difference.
d = a₂ - a₁
d = 18 - 17
d = 1
Thus, for every odd term, the next terms are derived by adding 1.
Even Terms: 9, 7, 5, x
Find the common difference.
d = a₂ - a₁
d= 7 - 9
d = -2
Find x.
x = 5 + d
x = 5 + (-2)
x = 5 - 2
x = 3
Therefore, x = 3.
What is a sequence?In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.
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The pool where Asha swims is rectangular.
It is 2500 cm long and 1250 cm wide.
The four sides of the swimming pool are 150 cm deep.
They are covered with small square tiles of different colours.
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.
Hence:
Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
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A farmer planted five rows of banana trees. Each row had six trees. His goat ate eight of the flowers. How many trees were left?
Answer:
Step-by-step explanation:
if his goat ate 8 flowers why is it asking how many trees?
Find (-18) + (-15) + 10. O 7 O-43 O-23 O-13
Answer:
O-23
Step-by-step explanation:
Yes yes yes yes yes yes yes yes yes
what is the solution to this inequality x over 10 +6 >8 x<74 x>74
The solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality is:-
x / 10 + 6 ≥ 8
Put the value of x = 20
20 /10 + 6 ≥ 8
2 + 6 ≥ 8
8 ≥ 8
So the value of x will be greater than 20 or equal to 20.
Therefore the solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
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A dragon has been wreaking havoc n a local village. It is then chased away by a knight. The dragon flies 3miles due south followed by 4miles due west work out the distance between the dragon and the village find the bearing of the dragon from the village to the nearest degree
Answer:
a) 5m b) 53°
Step-by-step explanation:
a) √Bc²+AB²
=√4²+3²
=√16+9
=√25 =5m
b) tan θ =BC/AB
tanθ =4/3
so tan θ=53°
6.RP.A.3.C
A dress costs $63. If the store is
having a 20% off sale, how much does
the dress cost now?
Answer:
$50.40
Step-by-step explanation:
20% of 63 is 12.5 so subtract that from the price of 63 for the answer of 50.4
Why does it coats $18 per hour ?
Given that 5 cos (x+8.5)° - 1 = 0
0° ≤x≤ 90, calculate correct to the nearest degree, the value of x.
Answer:
x = 70
Step-by-step explanation:
To solve for x, use inverse operations to undo the operations performed on x.
__
5cos(x +8.5)° -1 = 0 . . . . given
5cos(x +8.5)° = 1 . . . . . . add 1
cos(x +8.5)° = 1/5 . . . . . divide by 5
x° +8.5° = arccos(1/5) . . . . take the inverse cosine
x° = arccos(1/5) -8.5° ≈ 70° . . . . evaluate the expression
The value of x is 70.
Look at the image below. Find the area of the parallelogram.
Answer:120square unit
Step-by-step explanation:khan
Evaluate 2x-5x+ 12
when x = -2
Answer:
2(-2)-5(-2)+12
-4-(-10)+12
6+12
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
2(-2)-5(-2)+12
-4+10+12
=18
Hope this helps! ;-)
Kasha has a spinner divided into 8 equal sections that are labeled 1 though 8. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7,5, 3, 4, 1,5}
Drag and drop the answers into the boxes to correctly complete the sentences
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
3
5
greater than
less than
The theoretical probability = [tex]\frac{1}{2}[/tex], The experimental probability = [tex]\frac{3}{5}[/tex]
Less than
What is experimental probability?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
The theoretical probability of spinning and odd number = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
The experimental probability =[tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]
Since [tex]\frac{1}{2}[/tex]< [tex]\frac{3}{5}[/tex]
So, the theoretical probability less than the experimental probability.
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Calculate no.between 2 and 2.5
Answer:
√5 is the answer
Answer for x?
Helppp
Answer:
x = 7
The length of the side is 18
Step-by-step explanation:
40 / 16 = 2.5
meaning the shape is dilated by 2.5
45 / (2x + 4) = 2.5
→ multiply both side by the denominator
45 / (2x + 4) * (2x + 4) = 2.5 * (2x + 4)
→ simplify
45 = 2.5 * (2x + 4)
→ divided both side by 2.5
45 / 2.5 = 2.5 * (2x + 4) / 2.5
18 = 2x + 4
→ subtract 4 from both sides (want x alone)
18 - 4 = 2x + 4 - 4
14 = 2x
→ divid both side by 2
14 / 2 = 2x / 2
7 = x
Plug in x:
2x + 4 = 2(7) + 4
14 + 4 = 18
Identify the zeros of the graphed function.
Question 8 options:
A)
x = –4, –2, 1
B)
x = –1, 0, 2, 4
C)
x = –4, –2, 0, 1
D)
x = –1, 2, 4
Answer:
A I think this is it
Step-by-step explanation:
Hope this helps :) :)
Look at the image below.
Find the area of the parallelogram.
Answer:
Below.
Step-by-step explanation:
Area = base * perpendicular height
= 3 * 5
= 15 square units.
The area of the parallelogram is 15 square units.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal
Area of a two dimensional shape is the total region which is bounded by the object's shape.
If the base and height is known,
Area of a parallelogram = base × height
Given base = 3
Height = 5
Area = 3 × 5 = 15 square units
Hence the required area of the parallelogram is 15 square units.
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In the diagram above, <1=40. Find the measure of <4
<4 = [???]
Answer:
40 degrees.
Step-by-step explanation:
< 4 = < 1 = 40 degrees
( as they are vertical ( opposite) angles)
( US = vertical, UK = opposite)
Answer:
m∠4 = 40°
Step-by-step explanation:
we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°
PLEASSEEEE HELP ASAP , WHAT IS THE SHAPE OF THE BASE AND SURFACE AREA?
Answer:
Total surface area : 733
The shape of the base is a rectangle with sides 11 in. and 12 in.
Step-by-step explanation:
The shape of the base is a rectangle with sides 11 in. and 12 in.
The surface area is the sum of the areas of the 5 sides.
Area of the base = 11*12 = 132
Area of the two triangles = (11*16)/2 = 88
Area of the back rectangle = 192
The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.
So the area of the oblique face: 19.42* 12 = 233 (almost :) )
So total surface area: 132 + 88*2+192+233= 733 square in
Shreya has 40 pairs of shoes stacked in boxes.
If a pair is 2 shoes, how many shoes does Shreya have?
Answer:
80 shoes
Step-by-step explanation:
sin e a pair is 2 shoes,
Shreya has 40×2shoes
= 80 shoes
therefore, Shreya has 80 shoes
40 x 2
=80 shoes
(We now have school systems which force students to study maths and, through enough exposure, our brains can learn to think mathematically. But if those skills cease to be used, the human brain will quickly return to factory settings...- Matt Parker )
find the equation (in terms of x) of the line through the point (-3,-3) and (2,-2)
Answer:
y = (1/5)x - 12/5
Step-by-step explanation:
First, you need to find the slope (m). This can be done by using the given points and the following equation.
y₁ - y₂ = m(x₁ - x₂)
-3 - (-2) = m(-3 - 2)
-1 = -5m
1/5 = m
Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.
y = mx + b
-2 = (1/5)(2) + b
-2 = 2/5 + b
-2.4 = b
-12/5 = b
Putting the information together, you are left with your final equation.
y = (1/5)x - 12/5
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.Answer: A
Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph
The radius of a circle is 16 cm. Find its area in terms of π
Answer:
A = 804.25 cm^2
Step-by-step explanation:
If you have 2 cups and need 2tbsp how many servings can I get from the 2 cups
Answer:
16 servings
Step-by-step explanation:
there are 16 tablespoons in one cup so 16+16 is 32. then you divide that by 2 or you get 16 servings
In triangle HJK shown above what is the measure of ∠J in degrees
Angles in a triangle adds up to 180
180 - (25.5 +120.2) = 34.3
So, missing angle is 34.3 degrees
Hope this helps!
An object has the mass of 900 g and a volume of 1,875 cm3.
Calculate its density.
g/cm3
Maths
If the mass of the object is 900 g and the volume is 1,875 cm³. Then the density of the object is 0.48 g/cm³.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass / volume
An object has a mass of 900 g and a volume of 1,875 cm³.
Then the density will be
Density = 900/1875
Density = 0.48 g/cm³
Then the density of the object is 0.48 g/cm³.
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Stan pays a 10% deposit to put a pool table on lay-by.
If the pool table costs $1590, how much does he have left to pay?
Answer:
$1431
Step-by-step explanation:
If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.
Please help asap.Thanks
Ratio & rate graphs:
A commercial airplane is flying at a rate of 15 miles every 2 minutes.
Complete the table.
Minutes: 2,___, 6, 10
Miles flown: 15, 30,___,___
Answer:
4, 45, 75
Step-by-step explanation:
15 miles per 2 min = 7.5 miles per 1 min
2 min = 15 min
4 min = 30 min
6 min = 45 min
10 min = 75 min
A PACK OF TOILET PAPER WAS ORIGINALLY $4.50 , IT COST $6.75. DID THE PRICE INCREASE OR DECREASE?
You spin the spinner twice.
5
2
4
3
What is the probability of landing on a number less than 3 and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit
Step-by-step explanation:
remember, a probability is always desired cases over possible cases.
and the combination of the probabilities of two (or more) events means to multiply these probabilities.
the probability to get a specific number on the spinner is 1/4 (1 desired number over 4 possible numbers).
so, to get first a number less than 3 ... - that means, the only desired outcome is the number 2.
so,
1/4
to get 5 on the second spin ?
again,
1/4
the combination of both events into one delivers the probability of
1/4 × 1/4 = 1/16
Ms. Jones baked 12 cookies on Monday. On Tuesday, she baked 15 cookies, on Wednesday, she baked 18 cookies. If Ms. Jones continues baking cookies this way, how many will she bake on Friday?
Answer:
19 or 20
Step-by-step explanation:
well is see
Monday = 12
Tuesday = 12 + 3 = 15
Wednesday = 15 +3 = 18
so the pattern is 3
but now since there is only 14, 13, 19, and 20
we could say she only added 1 or 1 each time
because it said she wanted cookies to stay about 18
1 x 2 = 2
18 + 2 = 20
or
1 + 18
19
sorry if it's wrong