solve for 9(p-4)=-18
To solve the equation 9(p-4)=-18, distribute the 9, then add 36 to both sides, and finally, divide by 9 to isolate p, resulting in p = 2.
To solve the equation 9(p-4)=-18, we need to isolate the variable p. Here's a step-by-step solution:
First, let's distribute the 9 to both terms inside the parentheses: 9 times p - 9 times 4 = -18, which simplifies to 9p - 36 = -18.Next, we'll add 36 to both sides of the equation to move the constant term to the right side: 9p - 36 + 36 = -18 + 36, resulting in 9p = 18.Lastly, we'll divide both sides by 9 to get p by itself: 9p / 9 = 18 / 9, which gives us p = 2.The solution to the equation 9(p-4)=-18 is p = 2.
Delaney gave her hair stylist a $4.60 tip. The tip was 5% of the cost of the haircut. Write an equation to find b, the cost of the haircut.
The total cost of haircut is $92.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Delaney gave her hair stylist a $4.60 tip.
The tip was 5% of the cost of the haircut.
let the cost of haircut be b.
So, 5% of b = 4.60
5/100 b = 4.6
b= 460 / 5
b = $92.
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For which intervals is the function positive?
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answer:
oupuouououuou
Step-by-step explanation:
If sin^2(x) - 2sin(x) = 2, then sin(x) = _____.
DE has endpoints D 0, 3 and E 0, 12 find the length of DE to the nearest tenth
Answer: The length of side DE is 9 units.
Step-by-step explanation: Given that the co-ordinates of the end-points of DE are D(0, 3) and E(0, 12).
We are to find the length RT of the polygon.
We know that
the length of a line segment with endpoints P(a, b) and Q(c, d) is equal to the distance between the points P and Q.
By distance formula, the distance between P(a, b) and Q(c, d) is
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
So, the distance between D(0, 3) and E(0, 12) is given by
[tex]DE=\sqrt{(0-0)^2+(12-3)^2}=\sqrt{9^2}=9.[/tex]
Thus, the required length of DE is 9 units.
The area of this circle is 42π m².
What is the area of a 60º sector of this circle?
6π m²
7π m²
14π m²
21π m²
Using proportions, it is found that the area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
Proportions:This question is solved by proportions, using a rule of three.An entire circle is of 360º, which has an area of [tex]42 \pi[/tex] m²? Which is the area equivalent to a sector of 60º?The rule of three is:
360º - [tex]42 \pi[/tex] m²
60º - x m²
Applying cross multiplication:
[tex]360x = 60 \times 42\pi[/tex]
[tex]x = \frac{60 \times 42\pi}{360}[/tex]
[tex]x = 7\pi[/tex]
The area of a 60º sector of this circle is of [tex]7\pi[/tex] m².
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The sec 205° is ____
●A negative value
●A positive value
●0
The value of sec 205° is a negative value.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The value of sec 205°.
In the coordinate system, ∠205° lies in the 3rd quadrant.
In third quadrant, only tanθ and cotθ are positive.
So, sec 205° is negative in third quadrant.
Hence we can conclude that the value of sec 205° is negative value.
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Find the AGI and taxable income:
Gross Income $30,856
Adjustments $750
1 Exemption $8200
Deduction $2,300
$31,200 and $20,601
$30106 and $19,606
$29,586 and $18,505
$28,863 and $17,636
1 points
QUESTION 5
Find the AGI and taxable income.
Gross Income $67,890
Adjustments $0
3 Exemptions $24,600
Deduction $1469
$69,440 and $45,300
$68,990 and $42,831
$67,890 and $41,821
$65,551 and $44,821
1 points
QUESTION 6
Find the AGI and taxable income.
Gross income $19,723
Adjustments $255
1 Exemption $8200
Deduction $1430
$19,4
This explanation provides a step-by-step process for figuring out adjusted gross income (AGI) and taxable income, based on given values for gross income, adjustments, exemptions, and deductions in three examples.
Explanation:In context of tax calculations, your adjusted gross income (AGI) is calculated by taking your gross income and subtracting any adjustments. Taxable income is calculated by subtracting exemptions and deductions from your AGI.
Example 1:Gross Income: $30,856 minus Adjustments: $750 equals AGI: $30,106. Then, AGI: $30,106 minus Exemptions: $8,200 minus Deductions: $2,300 equals Taxable Income: $19,606.Example 2:Gross Income: $67,890 has no Adjustments. Hence, its AGI is $67,890. Then, AGI: $67,890 minus Exemptions: $24,600 minus Deductions: $1,469 equals Taxable Income: $41,821.Example 3:Gross Income: $19,723 minus Adjustments: $255 equals AGI: $19,468. Then, AGI: $19,468 minus Exemptions: $8,200 minus Deductions: $1,430 equals Taxable Income: $9,838. Learn more about Tax Calculation here:https://brainly.com/question/34140086
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Find the volume of the composite space figure to the nearest whole number.
The volume of the composite solid is approximately 438 mm³.
Given is a composite solid, composed of a half cylinder [cut vertically] as a roof and a rectangular prism of dimension 5 mm, 11 mm, 6 mm, as base.
We need to find the volume of the solid.
So, to find the volume of the whole solid we will just add the volume of the half cylinder and the rectangular prism.
Volume of a rectangular prism = length × width × height
Here, Length = 11 mm, Height = 6 mm and Width = 5 mm.
Volume of cylinder = π × radius² × height
Since here the cylinder is half so the volume = [π × radius² × height] ÷ 2
The diameter of the cylinder is the width of the prism, height is length of the prism,
Now, let calculate the volume,
Volume = [5 × 11 × 6] + [(3.14 × 2.5² × 11) ÷ 2]
Volume = 330 + 108
Volume = 438 mm³
Hence the volume of the composite solid is approximately 438 mm³.
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How many ways can u write 5 to the power of 8 as a quotient of two exponential terms?
1. Find all the real square roots of 0.0064. (1 point)
0.25298 and –0.25298
0.0253 and –0.0253
0.08 and –0.08
0.0032 and –0.0032
2. Find the real-number root.
(1 point)
–0.605
1.1
–1.1
no real number root
Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room? Recall that the area of square is calculated by I square root 2, where I is the length of one side
I need to know how to do this, plz explain-Which function grows at the fastest rate for increasing values of x?
h(x)=2x
f(x)=4x2+9x
g(x)=18x
Answer: f(x)=4x2+9x
Step-by-step explanation:
Below is a piece of a local pizza place menu where Jacob works.
Large Cheese Pizza $14.85
Large Supreme Pizza $16.90
Cheese Sticks $5.99
Dessert Pizza $6.99
4. The largest order last Saturday was from a basketball team that ordered 5 large supreme pizzas, 5 large cheese pizzas, 5 orders of cheese sticks and 5 dessert pizzas. Jacob said the total was about $225. Is this reasonable? Justify your response using estimation. If the answer is not reasonable, identify the error and then calculate the correct solution.
Jacob's estimate of $225 for the basketball team's order is reasonable. Our calculations show a total estimated cost of $223.75, which is close to Jacob's estimate.
To determine if Jacob's estimated total of $225 for the basketball team's order is reasonable, we can perform a quick estimation.
First, let's list the items ordered:
5 large supreme pizzas at $16.90 each5 large cheese pizzas at $14.85 each5 orders of cheese sticks at $5.99 each5 dessert pizzas at $6.99 eachNext, we will estimate the total cost for each category:
5 large supreme pizzas: $16.90 x 5 = approximately $84.505 large cheese pizzas: $14.85 x 5 = approximately $74.255 cheese sticks: $5.99 x 5 = approximately $305 dessert pizzas: $6.99 x 5 = approximately $35Now, summing these estimates: $84.50 + $74.25 + $30 + $35 = $223.75
Thus, Jacob's estimate of about $225 is reasonable, as our estimation shows a total of $223.75, which is close to his figure.
Quadrilateral RSTU has vertices R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1). If you translate the quadrilateral four units down, what are the vertices of R'S'T'U'?
R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3)
R' (1, 1) , S' (2, 3) , T '(6, 3) , and U '(7, 1)
R' (-7, 1) , S' (-6, 3) , T '(-2, 3) , and U '(-1, 1)
R (-3, 3) , S (-2, 1) , T (2, 1) , and U (3, 3)
@Squirrels @tkhunny,
Answer:
The correct option is 1.
Step-by-step explanation:
The vertices of quadrilateral RSTU are R (-3, 1) , S (-2, 3) , T (2, 3) , and U (3, 1).
It is given that quadrilateral RSTU translate four units down to get R'S'T'U'.
The relation between the vertices of RSTU and R'S'T'U' is
[tex](x,y)\rightarrow (x,y-4)[/tex]
The vertices of R'S'T'U' are
[tex]R(-3,1)\rightarrow R'(-3,1-4)=R'(-3,-3)[/tex]
[tex]S(-2,3)\rightarrow S'(-2,3-4)=S'(-2,-1)[/tex]
[tex]T(2,3)\rightarrow T'(2,3-4)=T'(2,-1)[/tex]
[tex]U(3,1)\rightarrow U'(3,1-4)=R'(3,-3)[/tex]
The vertices of R'S'T'U' are R' (-3, -3) , S' (-2, -1) , T '(2, -1) , and U' (3, -3).
Therefore the correct option is 1.
how many liters will a quart (dry measure) hold?
Answer:
0.94635 Liters in a Quart
Step-by-step explanation:
a forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest foot how far is the fire from the base of the tower show the steps you use to find the solution
running short on time to turn this answer in plz help
Use the rules of significant figures to answer the following question: 43.5694•22.07
Answer:
961.6
Step-by-step explanation:
43.5694 22.07 = 961.6
PLEASE HELP!! I do not understand this. And can you explain it for me when I use it again?
1. A rectangular prism is defined as the drawing shows. Note B at (0, 5, 0) and F (0, 0, 4). The prism is reflected over the xz-plane. The reflected image is then translated 2 units back, 3 units left, and 1 unit up.
a.) Show the results of your calculations for points A, B, C and D from the reflection.
b.) Show the results of your calculations for points A, B, C and D from the translation.
Here is the image- https://us-static.z-dn.net/files/d78/3d779b3d254fe859e35a544af4257d2f.png
What is the value of x in the proportion StartFraction 2 x plus 7 over 3 x minus 4 EndFraction equals 11 over 2?
A. 2
B. 58
C. eleven-twenty-ninths
D. two-fifths
How do I graph (x−4)(x+2)
BRAINLIESTTTTT ASAP!!!
Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.
(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4
How many roations does a wheel make if diameter is 5 feet after 600 feet?
Geometry :)))))))))))))))))))))))))))))))
The measures are:
(a) BC = 20 mm
(b) GF = 10 mm
(c) CD = 10 mm
(d) KM = 10 mm
To find the measures you're looking for in the given diagram, we'll use properties of midsegments in triangles and trapezoids.
First, let's establish some properties:
In triangle ABC, FG is the midsegment, so FG is parallel to BC and half the length of BC.
In trapezoid CDEF, KM is the midsegment, so KM is parallel to EF and half the length of EF.
EF is parallel to KM and also parallel to DC.
Now, let's find the measures:
(a) BC:
Since FG is the midsegment of triangle ABC, FG is parallel to BC, and FG is half the length of BC. Therefore, BC = 2 * FG.
(b) GF:
GF is the midsegment of triangle ABC, so it's half the length of BC. Thus, GF = BC / 2.
(c) CD:
Since EF is parallel to DC and KM is the midsegment of trapezoid CDEF, CD is also half the length of EF. Therefore, CD = EF / 2.
(d) KM:
KM is the midsegment of trapezoid CDEF, so it's half the length of EF. Thus, KM = EF / 2.
Now, let's find the specific values using the information given:
Given values:
BC = 20 mm (from the diagram).
EF = 20 mm (since BC is parallel to EF in the same trapezoid).
(a) BC:
BC = 2 * FG
BC = 2 * GF (since GF is half the length of BC)
BC = 2 * (BC / 2) (substituting the given value for BC)
BC = BC
(b) GF:
GF = BC / 2
GF = 20 mm / 2
GF = 10 mm
(c) CD:
CD = EF / 2
CD = 20 mm / 2
CD = 10 mm
(d) KM:
KM = EF / 2
KM = 20 mm / 2
KM = 10 mm
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please help!! Assume the given triangular prism and rectangular prism have equal cross sections. Also assume the length and width of the rectangular prism's cross section are equal. If the volume of the triangular prism is V = 50h, then what is the length of the rectangular prism?
Answer:
5 square root 2
Step-by-step explanation:
A basketball coach is purchasing 12 shirts for her team, each with a different number. At the checkout counter, the clerk places 5 of the shirts in the first bag. How many different ways can a group of 5 shirts be placed in that first bag? A. 19,008
B. 60
C. 792
D. 95,040
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Total number of shirts purchased for her team = 12
Number of shirts places in the first bag = 5
We need to find the number of ways a group of 5 shirts be placed in that first bag.
We will use "Combination" to find the number of different ways :
As we know the formula for Combination.
[tex]^nC_r=\frac{n!}{r!\times (n-r)!}\\\\here, n=12\\\\r=5\\\\So,\ it\ becomes,\\\\^{12}C_5=\frac{12!}{5!\times 7!}\\\\=\frac{12\times 11\times 10\times 9\times 8}{5\times 4\times 3\times 2}\\\\=792[/tex]
Hence, there are 792 ways to do so.
Therefore, Option 'C' is correct.
The front row in a movie theater has 23 seats. If you were asked to sit in the seat the occupied the median position, in which seat would you have to sit?
A rectangle has a length of 7.2 cm and a height of 5 cm. what is the area and perimeter of the rectangle
Help!! So confused!
Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 + 24 + ...
a. Use summation notation to write the series. Explain what the numbers in the summation notation represent in this situation and how you found the expression used in the summation.
b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.