if we take 30 to be the 100%, what is 27 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 30 & 100\\ 27& x \end{array} \implies \cfrac{30}{27}=\cfrac{100}{x} \\\\\\ \cfrac{10}{9}=\cfrac{100}{x}\implies 10x=900\implies x=\cfrac{900}{10}\implies x=90[/tex]
In order to go on the field trip, you must accrue 75 positive
behavior points. you found out that you have 45% of the
points necessary to go. how many points do you have? use the
variable, p, for your equation.
what is the equation?
Answer:
Equation 75 X .45 = P
P = 33.75
How do I answer this question
Answer:
9³
Step-by-step explanation:
We know that,
[tex]a^b[/tex] ÷ [tex]a^c[/tex] = [tex]a^b^-^c[/tex]
By following the above, let us solve the given question.
Let us solve now.
⇒ 9⁵ ÷ 9²
⇒ 9⁵⁻²
⇒ 9³
Two angles of a quadrilateral measure 105° and 150°. The other two angles are in a ratio of 4:17. What are the measures of those two angles?
Answer:
20 degrees and 85 degrees.
Step-by-step explanation:
105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)
2. At the sale, Jessica bought 4 pairs
sunglasses. How much did she
of
spend?
8.78176.60
A $51.58
B $51.80
C$55.80
D$54.80
Factorise 2x^2 + x - 6
[tex] \rm \: {2x}^{2} + x - 6[/tex]
[tex] \rm \: {2x}^{2} + 4x - 3x - 6[/tex]
[tex] \rm \: {2x} \times (x + 2)- 3x \times (x + 2)[/tex]
[tex] \rm \: (x + 2) \times (2x - 3)[/tex]
Find f(5)+j(-2) if f(x)=12-3x ind j(x)=x² + 4x − 1
The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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What is 3.14 x 16
Can i have a step by step solution???
Answer:
3.14 × 16 is 18,84
Method in picture
[tex]{\color{aqua}{\boxed{\mathfrak{LordKeyarga23}}\:}}[/tex]
The value of the multiplication of the numbers 3.14 and 16 will be 50.24.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
3.14 and 16
Then the multiplication of the numbers 3.14 and 16 will be given by putting a cross sign between them. Then we have
⇒ 3.14 x 16
⇒ 50.24
The value of the multiplication of the numbers 3.14 and 16 will be 50.24.
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You decide to buy a car that costs $10,000. The normal depreciation for such a car is 5% per year. How much will the car be worth in 2 years?
Answer:
11,000
Step-by-step explanation:
10% of 10,000 is 1,000 so 5% is 500 and add 2 of 5% you get 1,000 and add it to the old price thus you get 11,000.
the average of 5 girls is 6 yrs. the average of 4 of them is 16½. what is d age of d fifth gal
Answer:
This assumes the question should read:
"The average of 5 girls is 16 [not 6] yrs. the average of 4 of them is 16½. what is d age of d fifth gal
The age, d, is 14 years.
Step-by-step explanation:
When the girl with age d is not included, the average goes up to 16.5 years. Let's define GroupA as the sum of the ages of the 4 girls whose average age is 16.5 years. d is the age of the girl that is removed from the average.
We know that all the girls (GroupA + d) have an average age of 16 years:
(GroupA + d)/5 = 16 years [Add the ages for all the girls (GroupA and d) and divide by 5 to obtain the average age for the larger group].
We know that when d is removed, the average for the 4 remaining girls (GroupA) is 16.5 years:
(GroupA)/4 = 16.5 years
This tells us the sum of the ages for GroupA:
GroupA = 4*(16.5)
GroupA total = 66 years
From above: (GroupA + d)/5 = 16 years
Since GroupA = 66 years, (66 years + d)/5 = 16 years
(66 years + d) = 90 years
d = 14 years
Find the quotient of 1 4/5 and 1 1/5
Give your answer as a fraction in its simplest form
Answer: 1 1/2
Step-by-step explanation:
1 4/5 = 9/5
1 1/5 = 6/5
[tex]\frac{9}{5} / \frac{6}{5}\\ \\\frac{9}{5} * \frac{5}{6}\\ \\\frac{45}{30} \\ \\1\frac{1}{2}[/tex]
I kinda need help with this
Applying the leg rule, the value of x in the given right triangle is: A. 6.
What is the Leg Rule?The leg rule for solving a right triangle having an altitude is expressed as:
hypotenuse/leg = leg/part.
In the image given we have the following:
Hypotenuse = 4 + 5 = 9 units
Leg = x
Part = 4
Plug in the values into the leg rule formula:
9/x = x/4
(x)(x) = (9)(4)
x² = 36
x = √36
x = 6 units.
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[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
What is the Inscribed Angle Theorem?Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
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for what value of x is the rational expression below equal to zero?
3x+15
———
6-x
[tex]~~~~~~\dfrac{3x+15}{6-x} = 0\\\\\implies 3x +15 = 0\\\\\implies 3x = 0-15\\\\\implies 3x = -15\\\\\implies x = -\dfrac{15}3\\\\\implies x = -5[/tex]
Answer:
the answer= -5
PROVE :
sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4
Step-by-step explanation:
[tex] \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} [/tex]
[tex] \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) [/tex]
[tex] \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} [/tex]
[tex] \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} [/tex]
Help my semester ends in 17 hours
i'm so confused this is all they put
Apply the Pythagorean Theorem to determine
unknown side lengths in right triangles in real
world and mathematical problems in two and
three dimensions
What is the difference of a surface area and a volume
Surface area is all the area of all sides while volume is the amount of space (a substance) occupies in a solid.
For example:
A cube has a length,breadth and height of 5cm,find:
a) surface area of the cube;
b) and the volume of the cube.
a) area of one side of the cube = 5 x 5
= 25cm²
Total surface area = 25cm x 6 (a cube has 6 sides)
= 150cm²
b) volume of cube = length x breadth x height
= 5 x 5 x 5
= 125cm³
Hope this helps you :]
p.s. can you mark me as the brainliest? <3
If you draw all of the diagonals from one vertex of a regular hexagon, how
many triangles do you make?
If you draw all of the diagonals from one vertex of a regular hexagon we make 5 triangles. This is further explained below.
What is a hexagon?Generally, the hexagon is simply defined as the hexagon is a polygon with six sides. to be considered a hexagon, the form must have six sides, all of which must be closed.
In conclusion, We get five triangles if we draw the diagonals of a regular hexagon starting at a single vertex.
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A rectangle is divided into exactly 20 congruent squares. Then these squares are lined up in a single row extending 36 inches (3 feet). What was the area of the rectangle?
The area of the rectangle is 64.8 square .inch
What is a Rectangle ?A rectangle is a polygon with four sides , opposite sides are parallel and equal.
It is given that
A rectangle is divided into exactly 20 congruent squares
If they are lined up the Length is 36 inches
Therefore the length of each square or the side of the square = 36/20
= 1.8 inch
The area of the rectangle will be
20* Side of square * Side of square
=20*1.8*1.8
= 64.8 square inch
The area of the rectangle is 64.8 square .inch
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10
Select the correct answer.
Which equation is equivalent to the given equation?
- 4(x - 5) + 8x = 91 - 3
OA -5x = 2
OB. 5 = 17
OC. -5x = -23
OD. 5x = -12
Recet
Next
The equation that is equivalent to the given equation is 4x = 68. No answer is correct
Equations and expressionsEquations are two expressions equated to each other. Given the equation below;
- 4(x - 5) + 8x = 91 - 3
Expand
-4x + 20. + 8x = 88
Collect the like terms
4x + 20 = 88
4x = 88 - 20
4x = 68
Hence the equation that is equivalent to the given equation is 4x = 68
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What is the solution to the system of equations graphed below? y = x + 2 y = 3x – 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, –2)
Answer:
B. (2, 4)
Explanation:
Given equations:
a) y = x + 2
b) y = 3x – 2
Solve them simultaneously:
x + 2 = 3x – 2
x - 3x = -2 - 2
-2x = -4
x = 2
Then find y = x + 2 = 2 + 2 = 4
Solution: (x, y) = (2, 4)
Answer:
(2,4)
Step-by-step explanation:
substitute the value of y x+2 = 3x-2
solve the value of x x = 2
substitue the value of x into one of the equations y = 2+2
solve for y value y = 4
In a group there are 3 boys and 4 girls. A child is selected from the group at random. Find the probability that the selected child is a boy.
Answer:
3/7
Step-by-step explanation:
Probability=Number of possible items÷Number of total items.
We will make the possible item 3 because we are looking for the probability whether a boy will be picked.
The number of total items will therefore be: the number of boys + the number of girls; that will be 3+4 =7.
So the probability of picking a boy will be 3/7
THANK YOU.
A principal of $3900 is invested at 7.5% interest compounded annually how much will the investment be worth after 9 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23[/tex]
Can someone help me with geometry
Applying the circle theorems, we have:
4. y = 120°
x = 45°
5. x = 90°
y = 32°
6. x = 40°
y = 20°
7. x = 116°
y = 98°
8. x = 100°
y = 60°
9. x = 54°
y = 75°
What is the Angle of Intersecting Secants Theorem?The angle formed outside a circle by the intersection of two secants equals half the positive difference of the measures of the intercepted arcs, based on the angle of intersecting secants theorem.
What is the Angle of Intersecting Chords Theorem?The angle formed when two chords of a circle intersect, equals the half the sum of the measures of the intercepted arcs, based on the angle of intersecting chords theorem.
4. y = 360 - 95 - 30 - 115 = 120°
x = 1/2(120 - 30) [angle of intersecting secants theorem]
x = 45°
5. x = 90° [based on the tangent theorem]
y = 180 - 90 - 58 [triangle sum theorem]
y = 32°
6. x = 360 - 160 - 160 [central angle theorem]
x = 40°
y = 1/2(40) [inscribed angle theorem]
y = 20°
7. x = 180 - 2(32)
x = 116°
y = 1/2[132 + 2(32)] [angle of intersecting chords theorem]
y = 98°
8. x = 180 - 80 [opposite angles of an inscribed quadrilateral are supplementary]
x = 100°
y = 1/2[(2(80) - 90) + 50] [inscribed angle theorem]
y = 1/2[70 + 50]
y = 60°
9. 40 = 1/2(134 - x) [angle of intersecting secants theorem]
2(40) = 134 - x
80 = 134 - x
80 - 134 = - x
-54 = -x
x = 54°
y = 360 - 134 - 54 - 97
y = 75°
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A major arc will have a measure that is
O A. greater than 180°
OB. less than 180°
O C. equal to 180°
what’s the surface area Due by tomorrow!!!
Answer: The surface area = 2040.
Step-by-step explanation: Have a great day!
Find the value of x in the triangle shown below.
x=
58°
6
6
20%
5.8
Answer:
x = 61°
Step-by-step explanation:
since the triangle has 2 congruent sides then it is isosceles with the 2 base angle being congruent, both x°
the sum of the 3 angles in the triangle = 180° , then
x + x + 58° = 180°
2x + 58° = 180° ( subtract 58° from both sides )
2x = 122° ( divide both sides by 2 )
x = 61°
A rental car company charges $63.41 per day to rent a car and $0.05 for every mile driven. Ella wants to rent a car, knowing that: She plans to drive 275 miles. She has at most $200 to spend. What is the maximum number of days that Ella can rent the car while staying within her budget?
Answer:
2 days
Step-by-step explanation:
275 miles times 0.05 = $13.75 for mileage
200-13.75=186.25 left
186.25/63.41(daily fee)= 2.93
She can rent it for 2 days
if x=0 and y<0, where is the plot (x,y) located
Mark me the Brainliest!
Answer:
The point will be plotted on Y axis
Consider triangle ABC. What is b?
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
Answer:229.1
Step-by-step explanation: to much work I thought to hard that’s the answer your welcome buddy