Answer:
25% decrease
Step-by-step explanation:
Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100
80 - 60 = 20
20 / 80 = 0.25
0.25(100)= 25%
Suppose a 12 acre plot of land is being divided into 1/4 acre lots for a hosing development. How many lots will there be in the development.
Answer:
48 lots
Step-by-step explanation:
Jacqueline is cleaning the barn and needs to give her horse freshwater.the water trough holds 70 gallons of water the hose she has to use as a flow rate of 6 gallons per minute. how long will it take to fill the water trough?
Which side of a right triangle has the longest length?
Answer:
hypotenuse
Step-by-step explanation:
A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)
Joe paid 14.00 for a board game this is 70 of the original price what was the original price
Answer:4.2
Step-by-step explanation:
14 times 70% subtracted from 4.2
The original price or cost price of a board game is 20.
What is cost price?The cost price is the price at which "goods are bought by merchant or retailer".
According to the question,
Joe paid 14.00 for a board game which is 70% of the original price or cost price.
In order to find cost price or original price. Let 'x' be the original price or cost price
70% = 14
100% = x
x = [tex]\frac{1400}{70}[/tex] [cross multiplication]
=20
Hence, the original price or cost price of a board game is 20.
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Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have two inequality:
2x – 3y <12
y < –3
If we draw these two inequalities on the graph, we will see:
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
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Please help me,Please I have a class in 2 hours Please help me
To find the perimeter of a shape you add all the side lengths together.
Perimeter of A is 20cm because 7+7+3+3=20
Perimeter of B is 27cm because 9+8+10=27
Perimeter of C is 17cm because 6+6+5=17
Perimeter of D is 34cm because 10+10+4+4+3+3=34
On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.
I hope this helps you have a good day
A person can read 24 pages of a book in 1/3 of an hour. What is this person's reading rate in pages per hour?
72
48
12
8
Find the volume of the sphere. Round your answer to the nearest tenth. A sphere is shown with a diameter of 12 yards. The volume is about cubic yards.
We know:
[tex]{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}[/tex]
where,
Radius (r) = Diameter/2 = 12/2 = 6 yards. Pi (π) = 22/7[tex] \: [/tex]
[tex]{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}[/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}[/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} [/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} [/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} [/tex]
Thus, The volume of Sphere is 905.14yards³. (Approx.)
PLEASE HELP!! I WILL MARK BRAINLEST!
Which of the following is the best buy?
4 lb. for $27.60
6 lb. for $41.28
7.5 lb. for $51.63
8 lb. for $55.12
What is the answer to this
Answer:
193 m²
Step-by-step explanation:
Let us separate the figure into three parts:
One right angled triangle, square and rectangle.
right angle triangle having height(h) = (10+5+3)m = 18m
base of right angled triangle(b) = 25-(8+4)m = 13m
length of square(l) = 8m
length of rectangle (a) = 4m
breadth of rectangle (w) = 3m
[tex]total \: area \: of figure = area \: of \: triangle + area \: of \: square + area \: of \: rectangle[/tex]
[tex] = \: ( \frac{1}{2} \times b \: \times h ) \: + ({l}^{2} )\: + (a \: \times w)[/tex]
[tex] = (\frac{1}{2} \times 13 \times 18) + {8}^{2} + (4 \times 3)[/tex]
[tex] = 193 \: {m}^{2} [/tex]
I need help! Find the measure of all sides. Round to the nearest tenth.
Answer:
BA=15
CA=15/2=7.5
[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]
A rectangle has an area of 4y2 – 49 square
units. What are the dimensions of the
rectangle?
Answer:
D. (2y - 7) units by (2y + 7) units
Step-by-step explanation:
[tex]A(rectangle) =4y^2-49[/tex][tex]\implies A(rectangle) =(2y)^2-(7)^2[/tex][tex]\implies A(rectangle) =(2y-7)(2y+7)[/tex]-> D(rectangle) = (2y-7) units by (2y + 7) unitsplease help! question in the picture. thank you!!!
Answer:
3 timesV = 1/3BhStep-by-step explanation:
A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.
__
A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.
V = (1/3)Bh . . . . . formula for volume of a pyramid
__
Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.
Find the equation of the straight line passing through the point (3,5) which perpendicular y=3x +2 to the line
The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).
To find the slope m of the perpendicular equation;
y = 3x + 2 --------------(1)
comparing the equation above with the standard equation of a circle
y=mx + c
m=3
The slope of the perpendicular equation;
= -1
3 = -1
Divide both-side of the equation by 3
= -1/3
so, the slope of our perpendicular equation is -1/3
Then, we go ahead to find our intercept
To find the intercept, we will plug in the points and the new slope into the formula y =mx + c
5 = -(3) + c
5 = -1 +c
Add one to both-side of the equation
5+1 = -1 + c + 1
6 =c
c=6
our intercept c is equal to 6
so we can now proceed to form our equation.
y = - x + 6
Multiply through by 3
-3y = -x + 18
We can rearrange the equation, hence;
x -3y -18=0
Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
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Sales $100 10 12 16 18 22 24 Temperature °C (a) How would you characterize the relationship between the money spent on calling fans to the temperature? Explain. (b) The function y=20x+0 is used to model this situation. What is the predicted amount of sales if the temperature is 21 degrees Celsius? Show your work. (c) What does the number 0 in the function mean in the context of this situation? Answers:
#1
As this is a scatter plot so we have to draw a suitable line then have to find the equation of line inorder to fulfill our requirements.
#2
y=20x+0Put temperature as 21(x)
y=20(21)y=420#3
0 is the y intercept or the initial amount of sales
It's denoting to the fact that there were initially 0 boxes
SOMEBODY PLEASE HELP ME
Answer:
Step-by-step explanation:
If Dwight Johnson has 7 courses to choose from, how many ways can he arrange his schedule if he must pick 4 of them?
Answer:
35 ways
Step-by-step explanation:
[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]
Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.
Use the inverse matrix to solve this system of equations:
An inverse matrix is drawn from the concept of reciprocity in which the product of a number and its reciprocal will sum up to one (1). Note that an identity matrix is equal to the product of a square matrix and its inverse.
What other kinds of matrixes are there?In mathematics you have the following types of matrices:
Column matrixNull MatrixSquare MatrixRow MatrixLower Triangular Matrix etc.It is to be noted that the information required to solve the equation is incomplete hence the general answer.
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The annual fundraising goal of a college is $100,000. so far $58,743 has been raised. how much more money is needed to reach the goal?
Answer:
41,257
Step-by-step explanation:
100,000
-
58,743
-------------
41,257
The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The annual fundraising goal of a college is $100,000.
Let x be the amount that is needed to reach the goal.
The linear equation in one variable can be framed as follows:
x + 58,743 = 100,000
x = 100,000 - 58,743
x = $41257
Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
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writes 25 x 10 to the power of 6
[tex](25*10)^6[/tex]
Sure hope this helps you
And please mark me brianiest if this is correct
Please help!! Giving Brainleist!
Answer: 30
Step-by-step explanation:
Bc all the numbers are near 30
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There are 2022 kangaroos and some koalas living across seven parks. in each park the number of kangaroos is equal to the number of koalas in all the other parks. how many koalas live in the seven parks in total
Answer:
337
Step-by-step explanation:
I remember this from UKMT maths challenge.
Let the number of kangaroos in each of the seven parks be , , , , , and with the
corresponding number of koalas being , , , , , and . The question tells us that the
number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six
parks. Therefore we have
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + .
Adding these equations, we obtain
+ + + + + + = 6( + + + + + + ).
The total number of kangaroos in the seven parks is 2022. Hence
+ + + + + + = 2022.
Therefore
2022 = 6( + + + + + + )
and hence the total number of koalas in the seven parks is
+ + + + + + = 2022 ÷ 6 = 337.
Find the volume of this cone round your answer to the nearest whole number use 3.14 for pi diameter = 5 mm, height = 6 mm
Answer:
Answer = 39.25 or 39 if rounded to the nearest whole number
Step-by-step explanation:
The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25
Hope that helps! :)
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat? $ $
Answer:
$102
Step-by-step explanation:
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?
1. Convert the discount percentage to a decimal:
15/100 = 0.15
2. Multiply the original price by the decimal:
120*0.15 = $18
This is the discount they got.
3. Now, subtract the discounted value from the original price:
120 - 18 = $102
This means that they paid $102 for the coat.
Hope this helps!
Answer:
$102
Step-by-step explanation:
15% of 120
= 15/100×120
0.15×120=$18
therefore, 15% of 120 equal 18
discount= $18
Amount she paid= 120-18= $102
Subtract 8 from me. Then add 9. If you add 12 and then
subtract 4, you get 18. What number am I?
Answer:
9
Step-by-step explanation:
x - 8 + 9 + 12 - 4 = 18
x = 9
*ANSWER*
What is the value of x?
x =6
Answer;
10
Step-by-step explanation:
from the question we observed that the shape is a right angled triangle.
and according to Pythagoras theorem, In a right angled triangle the square of the hypothenus is equal to the square of the sum of the other two side
hypothenus = 10
10^2= 8^ + X^2
100= 64 +X^2
X^2 = 100-64
X^2 = 36
X = √36
X= 6
Jesse needs to wrap the present shown below. How much wrapping paper would he need?
5 in
6 in
15 in
9 in
3 in
а
b
558 sq in
300 sq in
354 sq in
327 sq in
the fully simplified form of 2ab÷(8a) is:
A) [tex]\frac{2ab}{8a}[/tex] B) [tex]\frac{4}{b}[/tex] C) [tex]\frac{b}{4}[/tex] D) 4b E) 4a
Answer:
b/4
Step-by-step explanation:
After rewriting the quotient as a fraction,
[tex]\dfrac{2ab}{8a}[/tex]
We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to
[tex]\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4[/tex]
11. A car can travel 90 miles on 3 gallons of gasoline. How far can it travel on 13 gallons?
Answer:
390 miles
Step-by-step explanation:
90/3 = 30
30x13 = 390
Which expression could represent the phrase shown? (1 point)
"Subtract 2 from 6, then divide by 3"
Group of answer choices
3 ÷ 6 − 2
3 ÷ (2 − 6)
(2 − 6) ÷ 3
(6 − 2) ÷ 3
Answer:
(6-2)÷3=1
this is the answer
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