To solve the equation -6/7m = -84, multiply both sides by the reciprocal of -6/7, which is -7/6. The solution is m = 98.
To solve the equation -6/7m = -84, we need to isolate the variable m on one side of the equation. We can do this by performing the inverse operation of what is currently being done to m. Since m is being divided by -6/7, we can multiply both sides of the equation by the reciprocal of -6/7, which is -7/6, to cancel out the division on the left side.
The steps to solve the equation are:
Multiply both sides of the equation by -7/6:
-7/6 * (-6/7m) = -7/6 * -84
The left side simplifies to m, and the right side becomes m = 98.
So, the solution to the equation is m = 98.
The soup can is 6 cm tall and has a radius of 3.5cm. If you were to pull the label off the can in one complete piece,what would the area of the label be ? Use 22/7 for p.
Please help !!!
A)22 sq.cm
B)42 sq.cm
C)132 sq.cm
D)152 sq.cm
The soup can is 6 cm tall and has a radius of 3.5cm. If you were to pull the label off the can in one complete piece,what would the area of the label be ? Use 22/7 for p.
Please help !!!
A)22 sq.cm
B)42 sq.cm
C)132 sq.cm
D)152 sq.cm
Solution:
Radius of cylindrical soup can= 3.5 cm
Height of cylindrical soup can= 6 cm
Area of cylinder =2πrh
So, Area of label of cylindrical soup can=2πrh
Plugging in the value of r and h in the formula
Area of label=2*π*3.5*6
Multiplying the constants, we get
Area=2*π*21
Area=42π
Plugging in the value of π
Area=42*[tex]\frac{22}{7}[/tex]
Multiplying the numerators
Area=[tex]\frac{924}{7}[/tex]
Area=132 sq.cm
Answer: Option (C)
Area of label= 132 sq. cm
Linda needs 20 gallons of juice that has 75%fruit juice. she has a mixture that has 80% fruit juice and another mixtures that has 60% fruit juice. how much of each mixture should she use to get what she need?
What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 2.76 x 10 pw12
the width is 4.6 x 10 pw5
pw is the power
To calculate the perimeter of a rectangle given the area and the width, divide the area by the width to find the length, then use the formula Perimeter = 2(Length + Width), adjusting for scientific notation as necessary. This will provide the perimeter in scientific notation.
Explanation:To find the perimeter of the rectangle when we have the area and the width, we need to first calculate the length of the rectangle using the formula Area = Length × Width. The width is given as 4.6 x 105 and the area is 2.76 x 1012. To find the length, we divide the area by the width:
Length = Area ÷ Width = (2.76 x 1012) ÷ (4.6 x 105)
After performing the division, we obtain the length in scientific notation. The next step is to use the formula Perimeter = 2(Length + Width). After calculating the sum of the length and width, we multiply by 2 to obtain the perimeter of the rectangle in scientific notation.
Let's assume after performing the calculation that the length is found to be L x 10n where L and n are specific numbers. The perimeter now would be calculated as:
Perimeter = 2((L x 10n) + (4.6 x 105))
Be sure to adjust the exponents so they match before adding the length and width together. This might involve converting one or the other so that you can add them directly. Once that is done, you can multiply by 2 to find the total perimeter of the rectangle and express it in scientific notation.
In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. find the probability that the number drawn is a multiple of 77 or a multiple of 4.
After the hairdresser Jenny had 27 centimeters cut off her hair how many decimeters of hair did jenny have cut off
Answer:
2.7 dm
Step-by-step explanation:
You want to know the number of decimeters in 27 centimeters.
SI PrefixesThe SI prefix "deci-" means 1/10.
The SI prefix "centi-" means 1/100.
This tells you that 10 cm = 1 dm.
27 cm = (27 cm) × (1 dm)/(10 cm) = 2.7 dm
Jenny had 2.7 dm of hair cut off.
Mr zucco baked a total of 270 cupcakes and muffins. After ue sold 1/3 of the cupcakes and baked 18 more miffins, he had twice as many cupcakes as muffins. How many cupcakes and muffins did mr. Zucco bake to begin with?
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 − 9x2 − 108x + 6, [−3, 4]
Answer:
The absolute maximum of f(x) on [-3, 4] is 138 and the absolute minimum of f(x) on [-3, 4] is -237.
Step-by-step explanation:
To find the absolute extrema values of [tex]f(x) = 6x^3 - 9x^2 - 108x + 6[/tex] on the closed interval [−3, 4] you must:
1. Locate all critical values. We need to find the derivative of the function and set it equal to zero.
[tex]\frac{d}{dx}f(x)= \frac{d}{dx}\left(6x^3-9x^2-108x+6\right)=\\\\f'(x)=\frac{d}{dx}\left(6x^3\right)-\frac{d}{dx}\left(9x^2\right)-\frac{d}{dx}\left(108x\right)+\frac{d}{dx}\left(6\right)\\\\f'(x)=18x^2-18x-108[/tex]
[tex]18x^2-18x-108=0\\18\left(x^2-x-6\right)=0\\18\left(x+2\right)\left(x-3\right)=0\\\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=-2,\:x=3[/tex]
2. Evaluate f(x) at all the critical values and also at the two values -3 and 4
[tex]\left\begin{array}{cc}x&f(x)\\-3&87\\-2&138\\3&-237\\4&-186\end{array}\right[/tex]
3. The absolute maximum of f(x) on [-3, 4] will be the largest number found in Step 2, while the absolute minimum of f(x) on [-3, 4] will be the smallest number found in Step 2.
Therefore,
The absolute maximum of f(x) on [-3, 4] is 138 and the absolute minimum of f(x) on [-3, 4] is -237.
Which of the following holds about 800 milliliters o f water?
hello can you please help me posted picture of question
It is the c)25-y^2-y^2 by 16-9 = 1
17.5% as a fraction in simplest form?
You randomly select one card from a 52-card deck. find the probability of selecting a black seven or a red three.
The probability of selecting a black seven or a red three will be 1/13.
What is Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
You randomly select one card from a 52-card deck.
Now,
Number of black sevens = 2
Number of red three = 2
So, The probability of selecting a black seven or a red three is;
= (2 + 2) / 52
= 4 / 52
= 1 / 13
Thus, The probability of selecting a black seven or a red three will be 1/13.
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The graph of the function f(x)=4sqrt x is shifted down by three units. What is the domain of the resulting function
Question 11 please solve
5.
Find the present value of the annuity.
Amount Per Payment: $6,225
Payment at End of Each: Quarter
Number of Years: 6
Interest Rate: 8%
Compounded: Quarterly
hello can you please help me posted picture of question
The hyperbola (x-5)^2/7 - (y+3)^2/9 = 1 is shifted to the right by 4 units and upward by 3 units. the new center of the hyperbola is
Answer:
( 9 ,0)
Step-by-step explanation:
Given : [tex]\frac{(x -5)^{2}}{7} - \frac{(y+3)^{2}}{9} = 1.[/tex] is shifted to the right by 4 units and upward by 3 units
To find : New center of the hyperbola .
Solution : We have given
[tex]\frac{(x -5)^{2}}{7} - \frac{(y+3)^{2}}{9} = 1.[/tex]
Center of hyperbola is ( 5 , -3)
By the transformation rule f(x) →→ f(x -h) + k it mean f(x) is shifted to right by h unit and k unit up.
Then Center of hyperbola is shifted to the right by 4 units and upward by 3 units.
( 5 , -3) →→ (5 + 4 , -3 + 3
( 5 , -3) →→ ( 9 ,0)
Therefore, new center is ( 9 ,0).
What is the surface area of a rectangular prism that has a length of 9 feet, a width of 5 feet, and a height of 7.5 feet?
Answer: 300 ft²
Step-by-step explanation:
Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?
Number on cube:1,2,3,4,5,6
Number of times event occurs:3,6,1,5,3,2
A.0.2
B.0.3
C.0.6
D.0.83
solve the system of equations 5x-2y=88 3x+4y=58 show all work
Lucia is not yet 80 years old. each of her sons has as many sons as brothers. the combined number of lucias sons and grandsons equals her age, and her oldest grandson is 29. how old is lucia? place your numerical answer in the corresponding answer blank.
The problem is in the picture
Answer:
∠1 and ∠2,
∠3 and ∠4,
∠5 and ∠6
Explanation:
Supplementary angles are angles opposite each other that share the same line that is being dissected by a perpendicular line. The sum of their angles will always equal 180 degrees.
Angles 1 and 2 are an example of such supplementary angles. They share the horizontal line but are being dissected by descending line which creates their angles.
Angles 3 and 4 are more of the same. They share the somewhat-vertical line and are dissected by a different descending line that created them.
Lastly, Angles 5 and 6 are also supplementary angles. They share the somewhat-vertical line and are dissected by the horizontal line, resulting in their angles.
Angles 7 and 8 are not supplementary angles. Rather, they are vertically-opposite angles, or vertical angle pairs, two angles lying opposite each other existing at the point where two lines intersect. These angles have the same exact measurement and their sum will never equal 180 degrees.
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11 black balls and 14 white balls are placed in an urn. two balls are then drawn in succession. what is the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball?
[tex] |\Omega|=25\cdot24=600\\
|A|=11\cdot14+14\cdot13=154+182=336\\\\
P(A)=\dfrac{336}{600}=\dfrac{14}{25}=56\% [/tex]
Miss Nelson Has a rectangular flower box that is 5 ft long 2 ft tall she wants the width of the box to be no more than 5 ft if the width is a whole number what are the possible volumes for the flower box
(-8,7),(-9,-5) write in Ax+By=C
How to find the of each figure #5,6,7,8
Heong cut a slice of birthday cake. The slice formed the angle shown. What is the measure of the angle shown?
A bakery has total receipts for the month of $24,150 including sales taxes. if the sales tax rate is 5%, what are the bakery's sales for the month?
a.$24,000
b.$23,000
c.$23,100
d.$22,943
Option B= $23000 is the answer.
Explanation:
Let the bakery's sales for the month be represented by = x
As given, the bakery has total receipts for the month = $24150
Rate of sales tax = 5%
This implies that total monthly sales(x) + sales tax on 'x' = 24150
[tex]x+\frac{5x}{100}=24150[/tex]
[tex]x+0.05x=24150[/tex]
[tex]1.05x=24150[/tex]
x=23000
Hence, the bakery's sale for the month is $23,000
Find the length of AB , given that DB is a median of the triangle and AC = 24.
Answer:
AB = 12 units
Step-by-step explanation:
We are given the following information in the question:
DB is the median of the triangle.
AC = 24 units
Property of median of a triangle:
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.Thus, a median divides the side of triangle in two equal parts.Thus, DB divides AC in two equal parts.
Thus, we could say:
AB = BC
We have to find the length of AB.
[tex]\text{AB} = \displaystyle\frac{AC}{2} = \frac{24}{2} = 12\text{ units}[/tex]
Thus, AB is 12 units.
A restaurant uses 290 pounds of onions every 2 and a half weeks. If they continue to use onions at the same rate, how many pounds of onions will they use in 6 weeks?