To find the area of a rectangle, we can use the following formula
[tex]Aread\text{ of a reactangle = \lparen length\rparen}\times\text{ }(width)[/tex]Therefore, to find the total area we have to multiply his length by his width.
Using the data given in the question, we know that the length is 21 yards and the width is 5 yards. Therefore we find that:
[tex]Area\text{ of the rectangle =}(21\text{ yards\rparen}\times\text{ \lparen5 yards\rparen}=105\text{ yards}^2[/tex]we conclude that the area of the rectangle is 105 yards^2.
Note that the units of the area are square units
a motor oil retailer needs to fill 40 one quart bottles, and he has two tanks: one tank contains 2 gallons and the other contains 12 which will he need to fill the bottles.?
It is known that:
[tex]1\text{ quart=0.25 gallons}[/tex]Therefore, 40 quarts in gallons is:
[tex]40\times0.25=10\text{ gallons}[/tex]So to fill 40 quart bottles, atleast 10 gallons of oil will be needed.
Hence the tank of 12 gallons should be used since it has more than 10 gallons of oil.
The two gallon one does not have enough oil.
Option B that means the second option is correct.
"The 2 gallon tank is not enough ,but the 12 gallon tank is enough".
I need help with this Graphs of Quadratic Functions question.
Answer: [tex]y=-((x-2)/\sqrt{2} )^{2} +4[/tex]
Step-by-step explanation:
This equation has it's parabola starting at (2,4)
So, we know that our equation will include (x-2) and +4
Next, we see the parabola is upside down, so we need a -
Next, we see the equation is wider than normal, so we need to divide x by something.
at x = -2, a normal graph would go through (0,0) , but this one goes through (0,2)
at x = -2, [tex]2^{2} =4[/tex]
but we see at x = -2, [tex]x^{2} =2[/tex]
[tex]x=\sqrt{2}[/tex]
2(y − 11) = 4 im sorry i dont know what to do when the subtraction sign is there?
(Look at picture) 8th grade pre-algebra math question, super easy!
Answer:
A
Step-by-step explanation:
The multiplicative inverse property states that any number multiplied by its multiplicative inverse (also called reciprocal) results in 1.
The cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. How many plates did they use at lunch?
If the cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. The number of plates that was used at lunch is 196.
Number of plated usedGiven :
Paper plates ordered = 400 plates
Plates used for breakfast = 226
Additional plate bought = 100
Plate used for lunch = ?
Hence,
Let calculate the plate left after breakfast
Number of plates = Paper plates ordered - Plates used for breakfast
Number of plates = 400 plates - 226 plates
Number of plates = 174 plates
Now let determine the plates that were used for lunch
Pates used for lunch :
Pates used for lunch = (174 + 100) -78
Pates used for lunch = 274 -78
Pates used for lunch = 196 plates
Therefore we can conclude that the number of plates that was used at lunch is 196 plates .
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Name the property 7x8 = 8x7
commutative property
That's what you call the property 7x8 = 8x7
commutative property!
9^3 = 3x3x3x
What’s the answer
Answer: 3*3*3*3*3*3
Step-by-step explanation:
The value of 9³ = 3ˣ and x = 6
9³ = 3 x 3 x 3 x 3 x 3 x 3
9³ = 3⁶
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be A
The number A = 9³
The value of A = 729
Now , the number 9³ can be expressed as the power of 3
So , the equation will be
9³ = ( 3² )³
= 3³ˣ²
= 3⁶
= 729
Therefore , the value of 9³ = 3⁶
Hence , The value of 9³ = 3ˣ and x = 6
9³ = 3 x 3 x 3 x 3 x 3 x 3
9³ = 3⁶
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Write the number as a square. 25/169
A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width. The square number will be [tex]\frac{625}{28561}[/tex].
What is a square?A square is a common polygon with four equal sides and angles that are each 90 degrees in length.
A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.
Many objects can be found in your surroundings that have a square shape. The chessboard, craft sheets, bread slice, picture frame, pizza box, wall clock, etc. are typical instances of this shape.
Specifications of a Square
It has four vertices and four sides.It has equal-length sides.Since all interior angles are equal and right angles, they are all 90° in length.360° is the total of all interior angles.Its two diagonals form a straight angle with one another.[tex](\frac{25}{169})^{2} = \frac{625}{28561}[/tex]
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Answer:
(√25/69)^2
Step-by-step expla$nation:
You might see this as cheating but technically it is the correct answer :)
Hope this helps ^^
btw is this RSM?
14. In the figure shown, a // b and c | d What is the value of x?
The angle x in the parallel line is 123 degrees.
How to find the angles in the parallel lines?In the diagram, l₁ and l₂ are parallel.
l₃ and l₄ are perpendicular to each other.
Since l₁ and l₂ are parallel lines, the line l₃ is a transversal that cut across the parallel lines.
Angle relationship are formed such as corresponding angles, alternate angles, vertically opposite angle etc.
Therefore,
57 + x = 180°
x = 180 - 57
Therefore,
x = 123 degrees.
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Determine the values of y in the equation y2 = 169. y = 84.5 y = ±84.5 y = 13 y = ±13
Answer:
y = ± 13
Step-by-step explanation:
If y² = 169 then y = √169
√169 is either +13 or -13
This is usually written using the plus/minus sign
√169 = ± 13
If the sum of three consecutive odd integers is 57, what is the smallest of the three integers?
Answer:
The smallest of the three integers is 17. (17, 19, 21)
What’s the answer to this question i need help teaching my sibling
a) 10.7
b) ΔABE~ΔACD | Angle Angle Similarity
1) Analyzing that triangle, and considering they are similar we can write out the following to find x
a) If they are similar their corresponding sides are proportional, therefore we can write a pair of ratios.
[tex]\begin{gathered} \frac{x}{24}=\frac{8}{18} \\ \\ 18x=192 \\ \\ \frac{18x}{18}=\frac{192}{18} \\ \\ x\approx10.7 \end{gathered}[/tex]The smallest hypotenuse over the largest hypotenuse as well as there is a proportionality between those two corresponding legs 8 and 18.
b) In the last statement of that proof table, we can tell that the last line is well written as:
ΔABE~ΔACD | Angle Angle Similarity
The Angle Angle Similarity states that:
Note that in that table there are two instances in which there is a reference to two congruent angles.
62 divided by 9531 please solve
The answer is 0.00650508866
2(3-i)(-2+ 4i) =
simplify each expression
solve the system of the equations using the elimination or substitution method
we have
-2x+8y=-14 ------> equation A
-4x+y=-13 ------> equation B
solve the system
using the elimination method
step 1
multiply by -2 equation A
-2[-2x+8y=-14] -----> 4x-16y=28 -------> equation C
step 2
Adds equation B and equation C
-4x+y=-13
4x-16y=28
-----------------
-15y=15
solve for y
y=-1
Find the value of x
substitute the value of y in any equation
-4x+y=-13 ------> equation B
-4x+(-1)=-13
-4x=-13+1
-4x=-12
x=3
therefore the solution is
x=3 and y=-1help meeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
74.44
Step-by-step explanation:
[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]
I need help with this
Answer:Explanation:
Option 1: Vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
iven the parent function:
[tex]y=f(x)[/tex]If y is vertically compressed by a factor of 4, we have:
[tex]\frac{1}{4}f(x)[/tex]Next, a reflection across the x-axis will give:
[tex]-\frac{1}{4}f(x)[/tex]If the result is shifted
[tex]-\frac{1}{4}f(x-6)[/tex]Finally, a shift downwards by units gives:
[tex]g(x)=-\frac{1}{4}f(x-6)-2[/tex]Thus, the graph of g(x) is the graph of y vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
he firsyt option is correct.
PLEASE HELP ME LIKE FOR REL I NEEED HELLLP
The x and y intercepts of the given graph of the function are 3/2 and -1 respectively.
Intercepts of the line
The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept.
Given equation of the line:
y = (2/3)x - 1
To find the y -intercept, putting x = 0, we get,
y = (2/3)*0 - 1
y = 0 - 1
y = -1
Hence, the y - intercept is -1.
To find the x -intercept, putting y = 0, we get,
0 = (2/3)x - 1
1 = (2/3)x
x = 3/2
Hence, the x - intercept is 3/2.
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A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
How many of each type of shirt were sold?
A store sold 22 colored shirts and 8 white shirts.
Let x be the number of colored shorts and y be the number of white shirts.
A store sold 14 more colored shirts than white shirts.
so, we get an equation,
x = y + 14 ....................(1)
The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
So we get an equation,
10.50x + 9.95y = 310.60 .............(2)
Substitute above value of x in equation (2)
10.50(y + 14) + 9.95y = 310.60
10.50y + 147 + 9.95y = 310.60
20.45y = 310.60 - 147
20.45y = 163.6
y = 8
Substitute above value of y in equation (1)
So, x = 8 + 14
x = 22
Therefore, a store sold 22 colored shirts and 8 white shirts.
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Question 8 (1 point)A tire manufacturer knows that 5% of tires contain a defect, and the presence of a defect is independent from tire to tire.What is the probability that if 5 tires are inspected, exactly 2 have a defect?Round to 3 decimal places.Blank 1:
ANSWER:
The probability is 0.018
STEP-BY-STEP EXPLANATION:
That 5% are defective means that 5 out of 100 tires are defective.
If 5 tires are selected, the probability that they are exactly defective is calculated as follows
[tex]\begin{gathered} P(X=k)=\frac{5Ck\cdot95C5-k}{100C5},\text{ for k = 2} \\ \end{gathered}[/tex]Now, resolving
[tex]\begin{gathered} 5C2=\frac{5!}{2!\cdot(5-2)!}=10 \\ 95C3=\frac{95!}{3!\cdot(95-3)!}=138415 \\ 100C5=\frac{100!}{5!\cdot\left(100-5\right)!}=75287520 \end{gathered}[/tex]replacing:
[tex]\begin{gathered} P(X=2)=\frac{10\cdot138415}{75287520} \\ P(X=2)=0.018 \end{gathered}[/tex]Given the matrices A and B shown below, find – į A - B.A = [6 4] B = (-8 -11]
Please help I’ll mark you as brainliest if correct!!
Blanks to be filled by 4,3,8 and 3.
What is multiplication?Multiplication in mathematics is the same as adding equal groups. As we multiply, there are more items in the group. The product, the two factors, and the product are all components of a multiplication problem. The numbers 6 and 9 are the factors in the multiplication equation 6 x 9 = 54, and 54 is the result.
Given Data
3 __ 8
× 7 8 4
_____________
1 _ 9 2
2 7 __ 4
_ 4 3 6
_____________
2 7 2 8 __ 2
_____________
Solving
Multiplying and adding,
3 _4_ 8
× 7 8 4
_____________
1 3_ 9 2
2 7 _8_ 4
_ 4 3 6
_____________
2 7 2 8 _3_ 2
_____________
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find the measure of each angle. JKL=5x+4 and LKM=3x
Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees
How to determine the measure of each angle?The possible question is added at the end of the solution and as an attachment
From the attached figure, we have the following angles
Angle 1: Angle JKL = 5x+4Angle 2: Angle LKM = 3xFrom the attached figure, we can see that:
Angle 1 is twice the measure of angle 2
This is so because, the angle 1 is the vertex angle of an isosceles triangle
While the angle 2 is half of it
So, we have
Angle 1 = 2 * Angle 2
Substitute the known values in the above equation
So, we have
2 * 3x = 5x + 4
Evaluate the product
So, we have
6x = 5x + 4
Evaluate the like terms
x = 4
Substitute x = 4 in the equations JKL=5x+4 and LKM=3x
So, we have
JKL= 5 x 4 + 4
LKM = 3 x 4
Evaluate the equations
So, we have
JKL= 24
LKM = 12
Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively
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Algebra ll please help
The formula to obtain the future value (FV) is,
[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]Where,
[tex]\begin{gathered} FV=\text{Future Value=?} \\ PV=\text{Present Value = \$5000} \\ r=4.2\text{ \%=}\frac{\text{4.2}}{100}=0.042 \\ n=12 \\ t=n\text{umber of years }=5\text{years} \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} FV=5000(1+\frac{0.042}{12})^{12\times5}=5000(1+0.0035)^{60} \\ FV=5000(1.0035)^{60}=5000\times1.233225821=6166.129106 \\ FV=6166.129106\approx6166.13(nearest\text{ cent)} \\ \therefore FV=\text{ \$6166.13} \end{gathered}[/tex]ence, there will be $6`166.13 in the account after 5years.
Carlos is baking a pie with a circumference of 56 inches. What is the area of the pie he will bake?
the area of the pie that Carol will bake will be equal to 249.51 inches².
We are given the circumference of the pie as = 56 inches.
As pie is in the shape of a circle, we will use the formula for circumference to find the radius of the circle.
2 π r = 56 inches
2 × 22 / 7 × r = 56
r = 56 × 7 / ( 22 × 2)
r = 8.91 inches.
Area of circle is given by:
π r²
Substituting the values in the formula, we get that
A = 22 / 7 (8.91)²
A = 249.51 inches²
Therefore, we get that, the area of the pie that Carol will bake will be equal to 249.51 inches².
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Solve the following quadratic equation by using the quadratic formula. -2x^2+7x-4=0
Answer: X1= 7 - sqrt{17} over 4
X2= 7 + sqrt{17} over 4
What is 1/2inch to 4 ft
The required metric conversion is:
96 times 1/2 inch is equal to 4 feet
In this question, we need to find convert 1/2 inch to 4 feet
We need to convert metric unit.
We know that, 1 feet = 12 inches
So, 4 feet would be 48 inches
We can write 48 inches as,
48 inches
= 96 × (1/2) inches
This means, if we add 1/2inch 96 times then it is equal to 4 feet
Therefore, the required metric conversion is: 96 times 1/2 inch is equal to 4 feet
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Answer this please please
Answer:
X = 1/5
Step-by-step explanation:
16 - 10X = 14
10X = 2
X = 0.2
Answer
x=0.2
-16+10x=-14
10x=-14+16
10x=2
10x÷10=2÷10
x=0.2
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Answer:
327 x 564
1648+2092+1685
190068
Step-by-step explanation:
im pretty sure that this is right. and the bold letter are the missing ones
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle. The diagram is not drawn to scale.
answer today plsssss
The evaluated value of x from the line geometry given is 36.
Lines and anglesAn angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.
Take the sum to have
x + 3x + x = 180
Simplify
4x + x = 180
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
Hence the value of x from the diagram is 36
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