Answer:
197
Step-by-step explanation:
1.97 = 437/860.89
1.97=197%
Manny bought a $1,980 snow thrower on the installment plan. The installment agreement included a 20% down payment and 12 monthly payments of $161 each
what is the total amount of the monthly payments?
Step-by-step explanation:
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Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
Write the equation in standard form of the line that passes through (3, 1) and has a y-intercept of (0, -2).
SHOW YOUR WORK
Answer:
-x + y = - 2
Step-by-step explanation:
Standard Form of the Line
The equation of a line can be written in standard form:
Ax + By = C
To find the values of A, B, and C, we must use the point-slope form:
y - k = m(x - h)
Where m is the slope and (h,k) is one point where the line passes through.
Let's calculate the slope by using the given points (3,1) and (0,-2):
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
\(\displaystyle m=\frac{-2-1}{0-3}=1\)
Now find the equation by using the point (0,-2):
y + 2 = 1(x - 0)
y = x - 2
Subtracting x:
- x + y = - 2
Suppose a large shipment of stereos contained 18% defectives. If a sample of size 306 is selected, what is the probability that the sample proportion will differ from the population proportion by more than 6%? Round your answer to four decimal places.
The probability that the sample proportion of a large shipment of stereos will differ from the population proportion by more than 6% is 0.0063
How to get the required probabilityThe probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean
The z score is given by the formula
z = (X - μ) / σ
Definition of variables
mean, μ = p = 18% = 0.18
sample size, n = 306
standard deviation, σ
= √{(p(1 - p)) / n}
= √{(0.18(1 - 0.18)) / 306}
= √{(0.18 * 0.82) / 306}
= 0.02196
The probability
differ from the population proportion by less than 3%
|X - 0.18| > 0.06
X < 0.12 OR X > 0.24
P(z < 0.12) + P(z > 0.24 )
z score for z < 0.06
z = (0.12 - 0.18) / 0.02196
= -2.7322
p value for z < -2.7322 = 0.003146
z score for z > 0.06
z = (0.24 - 0.18) / 0.02196
= 2.7322
p value for z > 2.7322 = 1 - 0.99685 = 0.003146
The probability required = 0.003146 + 0.003146 = 0.006292 = 0.63%
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Solve the Compound Interest Formula for time given:
250,000 = 12,000e^.125t
Ariel bought a 6-cup bag of dough for $6.34. She used 1.45 cups to make rolls and 3.45 cups to make bread. How much dough is left? PLEASE HEELP
Answer:
1.1 cups. Hope this helps.
Step-by-step explanation:
Write the equation of a line that is parallel to x = -7 and
passes through (-1,8)
Answer:
y=-7x+1
Step-by-step explanation:
A box was 3/4 full.the box fell on the floor. 30 marbles fell out. this was 20% of the marbles that were in the box. how many marbles are in a full box
Answer:
150
Step-by-step explanation:
all i did was multiply 20% by 50 if it wasnt that i went up 50 if one of them gave me 30 i would know i had the right one.
Jason charges $18 plus $4 per hour to mow lawns. Andrew charges $7 per hour with a $12 dollar up front cost. In what situation does Jason charge more than Andrew.
Work out the angle under
The value of two inner angle other than x can be find out by subtracting 130° and 96° from 180° differently , because a straight line always make an angle of 180°
So ,
180° - 130° = 50 °
180° - 96° = 84°
Therefore , 50° and 84° are the two internal angle other than x
To find x ,
as the sum of all angles inside a triangle is 180°
50° + 84° + x = 180°
x = 180° - 134°
x = 46°
which of the following is 6.3 not a possible solution
Step-by-step explanation:
ang qt ko share ko lang bleeeh
A cross country train travels 2/3 miles in 11/12 of a minute.Which two statements are correct
Answer:
B) the unit rate is 1 7/11 miles per minute
E) The train travels 98 2/11 m p m
Step-by-step explanation:
Find the measures of all the interior angles of the non-convex figure below.
Answer:
angle 3x = 78°
angle opposite (4x + 30) = 226°
Step-by-step explanation:
It has 6 sides, so:
total interior angles sum = (180° x 6) - 360° = 720°
720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°
combine like terms:
720° = 3x + 416° + (360° - 4x - 30°)
720° = -x + 746°
x = 26°
Michelle orders 200 T-shirts to sell at the school carnival. She pays $6.50 per shirt, plus 5% of the total order for shipping. How much does she pay in all?
A $6.83
B $65.00
C $1,235.00
D $1,365.00
Michelle pays $1365 in total.
Option D is the correct answer.
We have,
To calculate the total amount Michelle pays for the T-shirts, we need to consider the cost per shirt and the shipping fee.
The cost per shirt is $6.50, and she ordered 200 shirts, so the cost of the shirts alone is:
= $6.50 x 200
= $1300
The shipping fee is 5% of the total order, which is:
= 5% x $1300
= $65
To find the total amount Michelle pays, we add the cost of the shirts and the shipping fee:
= $1300 + $65 = $1365
Therefore,
Michelle pays $1365 in total.
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The angles in a triangle are in the ratio 1 : 2 : 3. Find the size of each angle in the triangle.
Answer:
30°,60°,90°
Step-by-step explanation:
All angles in a triangle added up make 180°. Add all numbers in the ratio and divide 180° by it. 180°÷6=30 so 1 in the ratio expression is equal to 30°. Because we know this, we can multiply each number in the ratio by 30° to get the answer above
A soup can has a diameter of 8 centimeters and a height of 15 centimeters how much soup does the can hold?
Answer:
V = 240 pi
Step-by-step explanation:
We want the volume of a cylinder
V = pi r^2 h
We have the diameter and want the radius
r = d/2 = 8/2 = 4
V = pi ( 4)^2 * 15
V = pi * 16* 15
V = 240 pi
Let pi = 3.14
V =753.6 cm^3
Let pi be the pi button
V =753.9822369 cm^3
Answer:
240 pi
Step-by-step explanation:
found the answer online so now work (don't delete my answer)
Please help with this practice quiz!!
Answer:
slope is 9
Step-by-step explanation:
use the formula y=mx+b wherein m is the slope and b is the y-intercept
to solve for m, use formula (y2-y1)/(x2-x1):
\(\frac{127-1}{5-(-9)}\) = \(\frac{126}{14}\) (you add 5 and 9 together because negative + negative is positive)
126/14 = 9
Find XY and YZ. X:-14, Y:-4.1, Z:17.3
Follow:
X:Y
Y:Z
-14 : -4.1
-4.1 : 17.3
so XY= ( 57.4)
YZ= (-70.93)
1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?
Answer:
82
Step-by-step explanation:
00:36:46
In some code letters a, b, c, d and e represent numbers 2 ,4,5,6 and 10
which letter represents which number, consider the following
I. a +c= e
II. b-d = d.
and III. e + a = b.
Which of the following is true?
Question:
In some code, letters a, b, c, d and e represent numbers 2, 4, 5, 6 and 10. We just do not know which letter represents which number. Consider the following relationships:
a + c = e,
b – d = d and
e + a = b
Which of the following statements is true?
(A) b = 4, d = 2
(B) a = 4, e = 6
(C) b = 6, e = 2
(D) a = 4, c = 6
Answer:
(B) a = 4, e = 6 is the correct answer.
Explanation:
(A) b = 4, d = 2
a + c = e => a + c = e
b – d = d => 4 - 2 = 2
e + a = b => e + a = 4
We are not able to find out what will be at place of a , c , e by which all other relationships are not getting satisfied. And if we apply numbers by hit and trial they are not getting satisfied.
(B) a = 4, e = 6
a + c = e => 4 + c = 6 => 4 + 2 = 6
b – d = d => b - d = d => 10 - 5 = 5
e + a = b => 6 + 4 = 10
We were able to find all a , b , c , d , e and it satisfies all relationships given.
(C) b = 6, e = 2
a + c = e => a + c = 2
b – d = d => 6 - d = d
e + a = b => e + a = 6
We are not able to find out what will be at place of a , c , d by which all other relationships are not getting satisfied. And if we apply numbers by hit and trial they are not getting satisfied.
(D) a = 4, c = 6
a + c = e => 4 + 6 = 10
b – d = d => b - d = d
e + a = b => e + 4 = b => 10 + 4 = 14(this is not from the numbers as given in question so b can't be equal to 14)
We got stuck at the value of b which was 14 and not given in question so, we can leave this option in between as it is not satisfying the relationships.
Therefore, (B) a = 4, e = 6 is the correct answer.
Gianna and Victor both think they are the fastest texter! Gianna types 168 words in
4 minutes. Victor types 246 words in 6 minutes. Who is the REAL "fastest texter?"
Please help me
Answer:
Gianna is the faster texter. She types 42 wpm, while Victor types 41 wpm.
Step-by-step explanation:
Calculate the unit rates. Time is usually on the bottom. For example, to calculate how many words Gianna types in a minute, use the expression 168/4.
Answer:
Gianna is the faster texter
Step-by-step explanation:
168/4 = 42 wpm for Gianna
246/6 = 41 wpm for Victor
1.Write the expression in expanded form. The subscript number can be write in
normal form. E.g. X1 + X1Y1, do not forget the correct parenthesis and the correct
order. *
2.For the equation in above evaluate the notation using the values below. Please
enter the exact value.
X1 =0
Y1 = 5
Z1 = 0
X2 = 1
Y2 = 26
Z2 = -2
X3 = 12
Y3 = -2
Z3 = 3
X4 = -1
Y4 = 25
Z4 = 24
Answer:
(a) Expanded form:
\(((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)\)
(b) The value of the expression: -21
Step-by-step explanation:
Given
\(\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)\)
Solving (a): The expanded form:
This means that we substitute the values of i from 1 to 4 in the above expression.
So, the expression becomes:
\(((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)\)
Solving (b): The value of the expression
To do this, we simply substitute the given values of X1, X2....... in the expression.
This gives:
So, the expression becomes:
\(((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)\)
Simplify each bracket
\(((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)\)
\(0 + 29 -48 -2\)
\(-21\)
Hence, the result of the expression is -21
33 markers cost \$5.79$5.79dollar sign, 5, point, 79. Which equation would help determine the cost of 131313 markers? Choose 1 answer: Choose 1 answer: (Choice A) \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction A \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction (Choice B) \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction B \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction (Choice C) \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction C \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction (Choice D) \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction D \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction (Choice E) None of the above E None of the above Stuck?Review related articles/videos or use a hint. Report a problem
The cost of 13 markers is $326.17.
We have,
Let x be the cost of one marker.
3 markers cost $5.79.
We can set up a proportion:
3 markers / $5.79 = 1 marker / x
To determine the cost of 13 markers, we can use this proportion and solve for y, which represents the cost of 13 markers:
3 markers / $5.79 = 13 markers / y
Cross-multiplying
3 markers x y = $5.79 x 13 markers
Simplifying:
3y = $75.27
Dividing both sides by 3, we get:
y = $25.09
The equation that helps determine the cost of 13 markers is:
= 13 markers x $25.09 per marker
= $326.17
Thus,
The cost of 13 markers is $326.17.
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Clara cycles at a constant speed of 7 meters per second from west to east along a path. She passes a road sign during her ride. If t represents the number of seconds since Clara was 12 meters east of the road sign, write an expression to represent Clara's distance east of the road sign.
The linear equation that represents Clara's distance is: y = 7t + 12.
Linear EquationGiven m as unit rate, and b as initial value, a linear equation can be expressed as, y = mx + b.
In the scenario given in the question:
t = no of seconds when Clara was 12 m east of the road sign7 = unit ratey is the total distance of Clara east of the road sign12 is the initial valueTherefore, the linear equation that represents Clara's distance is: y = 7t + 12.
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Riley is saving up to buy a new television. She needs a total of $1,397.68. Riley has saved $200.08 already and earns $79.84 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
14
Step-by-step explanation:
i uses a calculator and kept adding up
what is the length of a rectangular solid with a volume of 180 cu ft, if it is 9 ft high and 4ft wide?
Answer:
5 ft
Step-by-step explanation:
The formula for Volume is V=lwh, or Volume = length x width x height.
The equation would be:
\(180=l(4)(9)\)
or
\(180=36l\)
To find the answer, divide by 36.
\(\frac{180}{36} =\frac{36l}{36}\)
\(5=l\)
Solve -|x| + 9 ≥ -15.
Answer:
Step-by-step explanation:
-24<=x<=24
I'm on my phone and can't access the less than equal to sign.
The general form of the equation of a circle is a X squared plus BY squared plus 3X plus 3Y plus Z equals zero wear a equals B does not equal zero is the circle has a radius of three units in the center lies on the Y axis, which set of values of a B C,D and E my correspond to the circle
The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:
A = 1, B = 1, C = 0, D = 3, E = 0.
The general equation of a circle is given by:
x^2 + y^2 + 2gx + 2fy + c = 0
In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:
The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.
The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.
Using the information above, we can substitute the values into the general equation to solve for the corresponding values:
Substituting the x-coordinate of the center (zero) into the equation, we have:
0^2 + y^2 + 2g(0) + 2fy + c = 0
y^2 + 2fy + c = 0
Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.
Substituting the radius of the circle (three) into the equation, we have:
(3)^2 = 9
Therefore, the equation becomes:
y^2 + 2fy + c = 9
Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:
A = 1 (coefficient of x^2)
B = 1 (coefficient of y^2)
C = 0 (constant term)
D = 3 (coefficient of x)
E = 0 (coefficient of y)
Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.
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HELPPP
Carmen is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of
each box with special wallpaper. If she has a total of 1498 ft? of wallpaper, how many boxes can she cover?
Answer:
7 boxes
Step-by-step explanation:
The area of a rectangular prism is given by the formula ...
A = 2(LW +H(L+W))
The amount of wallpaper Carmen needs for one box is found by computing the area of the box.
__
One boxA = 2(5·6 +7(5+6)) = 2(30 +7·11) = 2(107) = 214 . . . square feet
All boxesCarmen will be using a total of 214x square feet of wallpaper to cover x boxes. She has 1498 ft² available, so can cover ...
1498 ft²/(214 ft²/box) = 7 boxes
Carmen has enough wallpaper to cover 7 storage boxes.
Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
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Complete question
Find the measure of each exterior angles of rectangle?
Step by step