The amount of tip is $6
Step-by-step explanation:
Step 1: Given total bill amount = $46. Ratio of cost of meal to tip = 20:3So let cost of meal be 20 x and the tip be 3 x.
⇒ 3x + 20x = 46
⇒ 23x = 46
⇒ x = 2
Step 2: Calculate the tip.⇒ 3x = 3 × 2 = $6
carol received 189 votes for class president. emma received twice that number of votes. how many votes did emma receive?
Answer:
Emma = 378 votes
Step-by-step explanation:
Carol = 189 votes
Emma = 2 * Carol
Substitute 189 in for Carol
Emma = 2 * 189
Emma = 378 votes
Hope this helps :)
Answer:
378
Step-by-step explanation:
you just had to multiply 189 by 2. Since twice means 2
The radius of a circle is 7 centimeters
What is the circumference of the circle?
What is the area of the circle?
a) So we know the formula of finding the circumference: 2*pi*R.
Assuming we make pi = 3.14: 2 * 3.14 * 7 = 43.96.
b) We also know the formula of finding the area: pi * r^2.
3.14 * 7^2. Using PEMDAS:
3.14 * 49 = 153.86
the hedge boundary needs to be planted around a rectangular lawn 18 m long and 12 m wide. if 3 shrubs can be planted to grow a metre hedge, how many shrubs will be needed in all?
Answer:
180Step-by-step explanation:
let P represent the perimeter of the rectangle
P = 2×(12 + 18) = 2×(30) = 60 m
then
the number of shrubs = 3×(60) = 180
How many triangles can be constructed with angles measuring 10,80,and 90?
Which pair shows equivalent expressions?
2 (two-fifths x + 2) = 2 and two-fifths x + 1
2 (two-fifths x + 2) = four-fifths x + 4
2 (two-fifths x + 4) = Four-fifths x + 2
2 (two-fifths x + 4) = 2 and two-fifths x + 8
2([tex]\frac{2}{5}[/tex]x + 4) = [tex]\frac{4}{5}[/tex]x + 4 which is the second option is the equivalent expression.
Explanation:
First, we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to [tex]\frac{2}{5}[/tex]x.
Now we calculate the values of the two expresssions on the LHS.
1) 2 (two-fifths x + 2) = 2 ([tex]\frac{2}{5}[/tex]x + 2) = [tex]\frac{4}{5}[/tex]x + 4.
2) (two-fifths x + 4) = 2([tex]\frac{2}{5}[/tex]x + 4) = [tex]\frac{4}{5}[/tex]x + 8.
Now we determine values of the four expressions on the RHS.
1) Two and two-fifths x + 1 = 2[tex]\frac{2}{5}[/tex]x + 1
2) Four-fifths x + 4 = [tex]\frac{4}{5}[/tex]x + 4
3) Four-fifths x + 2 = [tex]\frac{4}{5}[/tex]x + 2
4) Two and two-fifths x + 8 = 2[tex]\frac{2}{5}[/tex]x + 8.
Out of the various LHS and RHS values, the [tex]1^{st}[/tex] LHS value and [tex]2^{nd}[/tex] RHS value is the same. So option 2 is the answer.
Answer:
second option
Step-by-step explanation:
a population of 800 cheetahs decreased by 13% per year. How many cheetahs will there be in the population after 5 years?
Answer:
399
Step-by-step explanation:
What is the approximate area of the shaded sector in the circle shown below?
Step-by-step explanation:
[tex]area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{110\degree}{360\degree} \times 3.14 \times {(16)}^{2} \\ \\ = \frac{110\degree}{360\degree} \times 3.14 \times 256 \\ \\ = \frac{88,422.4}{360} \\ \\ = 245.617778 \\ \\ \approx245.62 \: {in}^{2} [/tex]
Can someone please answer this question please please answer it correctly and please show work answer 28 and 33 please
Answer:
Step-by-step explanation:
Answer:
28) B
33) D
Step-by-step explanation:
28) Numbers on the dice
1, 2, 3, 4, 5, 6
Numbers greater than 4
5, 6
There are 2 possibilities of rolling a number greater than 4 on the cube
2 numbers greater than 4 / Total amount of numbers
2/6 = 1/3
There is a 1/3 chance of rolling a number greater than 4
If the cube is tossed 120 times, about 1/3 of the time the number will be greater than 4
120 (1/3) = 120/1 * 1/3 = 120/3 = 40
The best estimate is 40 times, B
33)
These are all of the possibilities:
W - shaded
W - unshaded
X - shaded
X - unshaded
Y - shaded
Y - unshaded
Z - shaded
Z - unshaded
The answer that corresponds with all of these possibilities is D
Hope this helps :)
The length of the base of an isosceles triangle is x. The length of a leg is 3x -4. The perimeter of the triangle is 41. Find x.
Length of base of isosceles triangle, x = 7
Step-by-step explanation:
Step 1: Given base of isosceles triangle, x = 7 and perimeter = 41Length of one leg = 3x - 4. Since two sides, other than the base of an isosceles triangle are equal, the length of the other leg = 3x - 4.
Step 2: Formula for perimeter of triangle = length of sidesStep 3: Substitute values of sides in the formula⇒ 41 = x + (3x - 4) + (3x - 4) = x + 2(3x - 4)
⇒ 41 = x + 6x - 8
⇒ 41 = 7x - 8
⇒ 49 = 7x
⇒ x = 7
Answer:
7
Step-by-step explanation:
Mark is in training for a marathon race. He has been training by running 10 miles each day. He will
be increasing his running by this weekly formula: y = 10 (1.1), where y is the number of miles he
will run each day, x weeks from now.
What is the value of y if x = 0?
Round to the nearest mile.
Answer:
For x = 0, the value of y will be 10 miles.
Step-by-step explanation:
Mark is in training for a marathon race. Each day he runs 10 miles for this training purpose. He will be increasing his running by this weekly formula: [tex]y = 10(1.1)^{x}[/tex], where y is the number of miles he will run each day, x represents the number of weeks from now.
Now, for x = 0, the value of y will be [tex]y = 10(1.1)^{0} = 10[/tex] miles. (Answer)
Answer:
The Value of y is 10
Step-by-step explanation:
Identify the zeros of f(x) = (x + 9)(x − 4)(6x + 1).
−9, −1 over 6,4
9, 1 over 6, 4
−9, −1 over 6,−4
−9, 1 over 6, −4
Step-by-step explanation:
We have,
f(x) = (x + 9)(x − 4)(6x + 1)
To find, all zeroes of the given equation = ?
∴ f(x) = (x + 9)(x − 4)(6x + 1)
⇒ (x + 9)(x − 4)(6x + 1) = 0
⇒ x + 9 = 0 or, x − 4 = 0 or, 6x + 1 = 0
⇒ x + 9 = 0 ⇒ x = - 9
⇒ x − 4 = 0 ⇒ x = 4
⇒ 6x + 1 = 0
⇒ 6x = - 1
⇒ x = [tex]\dfrac{-1}{6}[/tex]
∴ x = - 9 , [tex]\dfrac{-1}{6}[/tex], 4
Thus, the required 'option a) - 9 , [tex]\dfrac{-1}{6}[/tex], 4' is correct.
Final answer:
To find the zeros of the function f(x) = (x + 9)(x − 4)(6x + 1), we solve for x in each factor: x = -9, x = 4, and x = -1/6, which means the zeros are -9, 4, and -1/6.
Explanation:
To identify the zeros of a function, you need to find the values of x for which the whole expression equals zero. The function given is f(x) = (x + 9)(x − 4)(6x + 1). To find the zeros, we set each factor equal to zero and solve for x.
(x + 9) = 0 → x = -9
(x − 4) = 0 → x = 4
(6x + 1) = 0 → 6x = -1 → x = -1/6
Therefore, the zeros of the function are -9, 4, and -1/6.
Which choice is NOT equal to the others? A) − 2/ 5 B) −2/ 5 C) 2/ 5 D) 2/ −5
Answer:
c) 2/5
Step-by-step explanation:
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Final answer:
The choice that is NOT equal to the others is C) 2/5, because it is the only positive fraction, while the others represent the negative fraction − 2/5.
Explanation:
The student's question asks which of the given choices is NOT equal to the others. The choices provided include A) − 2/5, B) − 2/5, C) 2/5, and D) 2/ −5. To find the answer, we must compare the values.
Options A and B are the same, which is − 2/5 or negative two-fifths. Option D, which is 2/−5, simplifies to − 2/5 because division by a negative number yields a negative result, making it equivalent to options A and B. However, option C is the only one that is different because it is 2/5, which is positive two-fifths, not negative. Therefore, the answer is C) 2/5 as it is not equal to the other options, which are all negative two-fifths.
please answer this, and HURRY I am giving away 20points.
Question: What is the measure of angle DBA?
____Degrees
Answer:
132
Step-by-step explanation:
65+67=132 || 180-132=48 || 180-48=132
Answer:
132 Degrees.
Step-by-step explanation:
The interior of any triangle is 180 degrees.
Solve for angle DBC
65 + 67 = 132
180 - 132 = 48 degrees
Since the sum of DBA and DBC is 180, and we already know what 180 - 48 is, there you have it.
What is scale factor 10 cm =16 cm
Answer:
Step-by-step explanation:
20
Answer:
Scale factor = 5:8
Step-by-step explanation:
Step 1: Write out as a scale
10cm : 16cm
Step 2: Simplify
10 / 2 : 16 / 2
5:8
Answer: Scale factor = 5:8
The area of circular garden is 615.44 feet2. What is the circumference of the garden? (Use 3.14 for .)
A.
205.15 feet
B.
87.92 feet
C.
43.96 feet
D.
307.72 feet
Answer:
B.)
87.92 feet
Step-by-step explanation:
Given:
Area of the circular garden [tex]= 615.44 ft^2[/tex]
[tex]\pi =3.14[/tex]
Finding the radius of the circle.
Area of the circle= [tex]\pi r^2[/tex]
[tex]615.44=\pi *r^2[/tex]
[tex]r^2=\frac{615.44}{\pi } \\\\r^2=\frac{615.44}{3.14} \\r^2=196\\r=14 ft.[/tex]
Circumference of the garden:
[tex]=2\pi r\\=2*3.14*14\\=87.92ft.[/tex]
The dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week period.
Time Spent Playing Outdoors
for Fifth Graders and Seventh Graders
2 dot plots with number lines going from 0 to 10. A dot plot titled fifth grade has 0 dots above 0, 2 above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, and 0 and 9 and 10. A dot plot titled seventh grade has 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
Which statement correctly compares the shape of the data in the plots?
Both sets of data have a peak at 5 hours and 6 hours.
The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.
In both sets, the data cluster around 3 hours.
There is a gap in the fifth-grade data, but not in the seventh-grade data.
Answer: the answe is b
Step-by-step explanation:
The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.
What is Dot plot?
A dot plot is a method of visually representing expectations for some data series. A dot plot visually groups the number of data points in a data set based on the value of each point.
How to determine:2 dot plots with number lines going from 0 to 10.
A dot plot titled fifth grade has 0 dots above 0, 2 above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, and 0 and 9 and 10.
A dot plot titled seventh grade has 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
statement correctly compares the shape of the data in the plots
The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.
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What is the value of a1 of the geometric series? Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 12 (negative one-ninth) Superscript n minus 1 Negative twelve-ninths Negative one-ninths 1 12
Answer:
12
Step-by-step explanation:
The given geometric series is
[tex] \sum_{n = 1}^{ \infty} 12( { - \frac{1}{9} })^{n - 1} [/tex]
We want to determine the first term of this geometric series.
Recall that the explicit formula is
[tex] a_{n} = 12( { - \frac{1}{9} })^{n - 1} [/tex]
To find the first term, we put n=1 to get:
[tex]a_{1} = 12( { - \frac{1}{9} })^{1 - 1} [/tex]
This gives us:
[tex]a_{1} = 12( { - \frac{1}{9} })^{0}[/tex]
[tex]a_{1} = 12(1) = 12[/tex]
Therefore the first term is 12
Answer:
12
Step-by-step explanation:
The last option, C is the answer. I just took the quiz :D
I need help with please ASAP but A is not the answer
Answer:
d
Step-by-step explanation:
[tex]-\frac{6}{5}[/tex] is rational
3.5 is rational
0.5 repeating is rational
[tex]\sqrt{4}[/tex] is rational
[tex]\sqrt{5}[/tex] is NOT rational
The answer correct answer is D.
I need the answer key of riddle time called why did the school cook become a history teacher?
The response to the riddle " why did the school cook become a history teacher" is she was a expert in Acient grease
What is the riddle?
The riddle is based on history, and it should be noted that in term of history, ancient grease can not be underestimated because they have been existing since time past.
The city-states of ancient Greece were autonomous, however occasionally some would join alliances and hegemonies and serve a more powerful city. Greece was merely a small component of Alexander the Great's empire when it was founded—albeit for a very short time.
Find the equation for the circle with center (-4,-5) and passing through (4,-2)
Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r = [tex]\sqrt{(4+4)^2+(-2+5)^2}[/tex]
= [tex]\sqrt{8^2+3^2}[/tex]
= [tex]\sqrt{64+9}[/tex] = [tex]\sqrt{73}[/tex] ⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle
Answer: [tex](x+4)^{2} +(y+5)^{2} = 73[/tex]
Step-by-step explanation:
the formula for finding equation of circle is given as :
[tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex]
where ( a,b) is the coordinate of the center and r is the radius
The radius is the distance between the point and the center , the formula for calculating the distance between two points is given by :
d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
d = [tex]\sqrt{(4-(-4))^{2}+(-2-(-5))^{2}}[/tex]
[tex]d = \sqrt{(4+4)^{2}+(-2+5)^{2}}[/tex]
[tex]d = \sqrt{8^{2}+3^{2}}[/tex]
[tex]d = \sqrt{73}[/tex]
since "r" is the distance , then
[tex]r = \sqrt{73}[/tex]
The the equation of the circle , using the formula [tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex] , will be
[tex](x+4)^{2} +(y+5)^{2} = 73[/tex]
How many square inches of wrapping paper will he need?
73. Given PQRS is a parallelogram.
PR bisects Angle SPQ and Angle QRS.
SQ bisects Angle PSR and Angle RQP.
Prove PQRS is a rhombus.
Answer:
See explanation
Step-by-step explanation:
PQRS is a parallelogram, then
[tex]PQ\parallel RS\\ \\QR\parallel SP[/tex]
and
[tex]PQ\cong RS\\ \\QR\cong SP[/tex]
Also
[tex]\angle P\cong \angle R\\ \\\angle Q\cong \angle S[/tex]
1. Consider triangles PQA and RQA, where A is the diagonals intersection point. In these triangles,
[tex]QA\cong QA\ [\text{Reflexive property}][/tex]
[tex]\angle PQA\cong \angle RQA\ [\text{Because QS is angle bisector}][/tex]
[tex]\angle QPA\cong \angle QRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]
Hence, by AAS postulate triangles PQA and RQA are congruent. Congruent triangles have congruent corresponding parts, so
[tex]PQ\cong RQ[/tex]
2. Consider triangles PSA and RSA. In these triangles
[tex]SA\cong SA\ [\text{Reflexive property}][/tex]
[tex]\angle PSA\cong \angle RSA\ [\text{Because QS is angle bisector}][/tex]
[tex]\angle SPA\cong \angle SRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]
Hence, by AAS postulate triangles PSA and RSA are congruent. Congruent triangles have congruent corresponding parts, so
[tex]PS\cong RS[/tex]
3. Since [tex]PQ\cong RS[/tex] and [tex]PQ\cong RQ[/tex], you have [tex]RS\cong RQ[/tex]
Therefore,
[tex]PQ\cong QR\cong RS\cong SP[/tex]
Parallelogram with all congruent sides ia a rhombus.
17x + 36y = 479
Y= 2x - 4
Answer:
X=7
Y=10
Step-by-step explanation:
Replace expression Y=2x-4 in 17x + 36y = 479
17x+36(2x-4)=47917x+72x-144=47989x-144=47989x=479+14489x=623x=[tex]\frac{623}{89}[/tex]x=7Now, replace X=7 in expression Y=2x-4
Y=2(7)-4Y=10The population of a species of fish in a river increased by a factor of 1.05 every day for the amount of days shown in the graph. The function shows the number of fish in the river f(x) after x days:
f(x) = 100(1.05)x
Answer: C: 0 < x < 31
Step-by-step explanation: Because the < sign shows the line is going up towards the top. It starts from 0 and travels to the top-right to 31
A reasonable domain for this function to have would be 0 ≤ x ≤ 31.
How to solve for the domain of the functionWe have f(x) as the number of fishes that are present in this water. The month is October and October has 31 days.
The x values is the maximum of the number of days in October. The minimum value is given as 0 because it is the population in the beginning of the month.
Hence we have 0 ≤ x ≤ 31
Complete questionWhich of the following is a reasonable domain for the function?
0 ≤ x ≤ 100
0 ≤ x ≤ 31
All positive integers greater than 100
All positive integers less than 100
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Does 27/8 equal 2 7/8
No if you simplify 27/8 it equals 3 3/8.
which expression is equivalent to 3/27x18?
a.3x3
b.3x6
c.9x3
d.9x6
Answer:
the answer is B
Step-by-step explanation:
give me brainly
What is
2x-3y=-19
4x+3y=7
URGENT
Solve by elimination.
2x-3y=-19
+(4x+3y=7)
-----------------
6x=-12
x=-2
2(-2)-3y=-19
-3y=-15
y=5
Intersection Point: (-2,5)
Which of the following is a solution to this inequality? y>1/2x+2
A. (1,4)
B. (-1,1)
C. (2,3)
D. (0,2)
None of the given points are solutions to the inequality.
Explanation:To determine which of the given points is a solution to the inequality y > 1/2x + 2, you need to substitute the coordinates of each point into the inequality and check if the inequality holds true.
Let's start with point (1, 4):
4 > 1/2 * 1 + 2
4 > 1/2 + 2
4 > 2.5 + 2
4 > 4.5
The inequality does not hold, so point (1, 4) is not a solution to the inequality.
Now, let's try point (-1, 1):
1 > 1/2 * -1 + 2
1 > -1/2 + 2
1 > 1.5
The inequality does not hold, so point (-1, 1) is not a solution to the inequality.
Similarly, checking for points (2, 3) and (0, 2), we find that neither of them satisfy the inequality.
Therefore, none of the given points, (1, 4), (-1, 1), (2, 3), or (0, 2), are solutions to the inequality y > 1/2x + 2.
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Solve 2x2 − 8x = −7.
negative 2 plus or minus square root of 2
negative 2 plus or minus 2 square root of 2
quantity of 2 plus or minus square root of 2 all over 2
2 plus or minus square root of 2 end root over 2
The solutions to the quadratic equation 2x^2 - 8x + 7 = 0 are x = 2 + √2 / 2 and x = 2 - √2 / 2 using the quadratic formula.
To solve the equation 2x2 - 8x + 7 = 0, we will use the quadratic formula, where 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a'. The coefficients in this case are a = 2, b = -8, and c = 7.
First, we calculate the discriminant, which is b2 - 4ac. Substituting our values we get:
(-8)2 - 4(2)(7) = 64 - 56 = 8.
The square root of 8 can be simplified to 2√2, because 8 = 4 × 2 and √4 = 2.
Finally, we substitute the values into the quadratic formula:
x = (-(-8) ± √8) / (2 × 2)
x = (8 ± 2√2) / 4
Dividing each term by 4 gives us:
x = 2 ± √2 / 2
Therefore, the solutions to the equation are:
x = 2 + √2 / 2 and x = 2 - √2 / 2
Recall that the perimeter of a rectangle is P=2(W+L), where W is the width and L is the length.
The length of a rectangle is 26 feet more than the width. If the perimeter is 60 feet, then what is the length of the rectangle,
To find the length of the rectangle, use the given information about the width and perimeter. Solve the equations to find the values of the variables and determine the length of the rectangle.
Explanation:To find the length of the rectangle, we can use the information given in the problem. Let's let the width be represented by W and the length be represented by L. We are told that the length is 26 feet more than the width, so we can write the equation L = W + 26. We are also given that the perimeter of the rectangle is 60 feet, so we can write the equation 60 = 2(W + L). We can substitute the value of L from the first equation into the second equation to solve for W. After finding the value of W, we can substitute it back into the first equation to find the value of L.
Let's start with the first equation: L = W + 26. Since we have an equation with two variables, we'll need to use the second equation to solve for the variables. Let's substitute the value of L in the second equation: 60 = 2(W + (W + 26)). We can simplify this equation by combining like terms: 60 = 2(2W + 26). We can distribute the 2 to the terms inside the parentheses: 60 = 4W + 52. We can then subtract 52 from both sides of the equation: 8 = 4W. Finally, we can divide both sides of the equation by 4 to solve for W: W = 2.
Now that we have the value of W, we can substitute it back into the first equation L = W + 26. This gives us: L = 2 + 26. We can simplify this equation to find that L = 28.