Answer:
it should be $6.30
Step-by-step explanation:
i put it in 2 different ways:
42x.15 and 42x15% both gave me 6.3
If one factor of x2 + 2x - 24 is (x+6), what is the other factor?
eOf
(x+8)
(x-8)
(x+4)
(x-4)
Answer:
(x - 4)
Step-by-step explanation:
Given
x² + 2x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)
The factors are + 6 and - 4, since
6 × - 4 = - 24 and 6 - 4 = + 2, thus
x² + 2x - 24 = (x + 6)(x - 4) ← in factored form
Thus the other factor is (x - 4)
The solution is Option D.
The equation x² + 2x - 24 = 0 has the factors as ( x + 6 ) and ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 2x - 24 = 0 equation (1)
The equation can be factorized as
x² + 6x - 4x - 24 = 0
Taking x as the common factor , we get
x ( x + 6 ) - 4 ( x + 6 ) = 0
So , the equation will be
( x + 6 ) ( x - 4 ) = 0
Therefore , the factors of x are -6 and 4
Hence , the factors of the equations are ( x + 6 ) and ( x - 4 )
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Simplify. 6x+3−(x+1) =
Answer:
5x +2
Step-by-step explanation:
6x+3−(x+1) =
Distribute the minus sign
6x +3 -x -1
5x +2
Answer:
[tex]5x + 2[/tex]
Step-by-step explanation:
[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
PLEASE HELP!! Due in 10 minutes :(
Answer:
A.
Step-by-step explanation:
A company determined that the budgeted cost of producing a product is $30 per unit. On June 1, there were 84000 units on hand, the sales department budgeted sales of 350000 units in June, and the company desires to have 130000 units on hand on June 30. The budgeted cost of goods sold for June would be
Answer:
The budgeted cost of goods sold in June is $ 10,500,000
Step-by-step explanation:
In order to determine the budgeted cost of goods sold,we need to first and foremost establish goods sold in quantity terms as follows:
goods sold=opening stock+goods produced-closing stock
goods produced=sales-opening stock+closing stock
goods produced=350,000-84,000+130,000=396,000
goods sold=84,000+396,000 -130,000=350000
The cost of producing one unit is $30
costs of goods sold=goods sold*production cost per unit=$30*350000 =
$ 10,500,000.00
Alternatively:
sales units *unit cost of production=$30*350,000=$ 10,500,000.00
Cake is shared among Mary, Ann and Susan in the ratio 2 : 5 : 7. If Susan's share is 6 pieces more than twice the share of Mary, find the number of pieces of cake Ann gets.
Answer:
the answer is 6
Step-by-step explanation:
find the measure of the angles indicated
Answer: 60º
Step-by-step explanation:
With respect to the line ZB, it makes an angle of 180º if measured using DZ. If the angle outside the triangle measures 140º, subtract from 180º to find the angle inside the triangle.
180º-140º=40º
So, now we have angle c=80º and angle b=40º, we can make an equation to find angles D which we'll call x.
The sum of the angles of a triangle must be equal to 180º.
80+40+x=180
120+x=180
x=180-120
x=60
Answer:
Find the measure of the angles indicated
∠CDB = 60°
Step-by-step explanation:
∠CBD + ∠CBZ = 180°
∠CBD + 140° = 180°
∠CBD = 180° - 140°
∠CBD = 40°
∠CBD + ∠BCD + ∠CDB = 180°
40° + 80° + ∠CDB = 180°
120° + ∠CDB = 180°
∠CDB = 180° - 120°
∠CDB = 60°
How many solutions does this equation have?
–2 − 10z = –4 − 10z
Answer:
No solutions
Step-by-step explanation:
To find out how many solutions there are you must solve:
- 2 - 10z = - 4 - 10z
Add 10z to both sides:
-2 = -4
Since the two terms are different from one another, that means that there are no solutions for this equation.
A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.
Answer:
angle of depression = -12 degrees
Step-by-step explanation:
Sin = opposite/hypotenuse
sin = -208/1000
inv sin 0.208 = -12
To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.
Trigonometric RatioUsing SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use
Data;
opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yardssince we have the value of opposite and adjacent, we can solve this using the tangent of the angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]
From the calculation above, the angle of depression is equal to 76.23 degrees.
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A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
4. What is the distance between (-4,1) and (1, -3)?
Answer:
Well it varies for how many lines you put on the graph, if you use desmos the answer comes out as 40 units; 25 units to the right of (-4,1) and 20 down
Step-by-step explanation:
Which shape is NOTa trapezoid
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
1/4(X-10)=2X+1
what is X?
Answer: [tex]x=-2[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(x-10)=2x+1[/tex]
Distribute 1/4
[tex]\frac{1}{4}x-\frac{1}{4}(10)=2x+1[/tex]
[tex]\frac{1}{4}x-\frac{5}{2}=2x+1[/tex]
add 5/2
[tex]\frac{1}{4}x-\frac{5}{2}+\frac{5}{2}=2x+1+\frac{5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{1*2+5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{2+5}{2}[/tex]
[tex]\frac{1}{4}x=2x+\frac{7}{2}[/tex]
Subtract 2x
[tex]\frac{1}{4}x-2x=2x-2x+\frac{7}{2}[/tex]
[tex]\frac{1}{4}x-2x=\frac{7}{2}[/tex]
[tex]\frac{1-2*4}{4}x=\frac{7}{2}[/tex]
[tex]\frac{1-8}{4}x=\frac{7}{2}[/tex]
[tex]-\frac{7}{4} x=\frac{7}{2}[/tex]
Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7
[tex](-\frac{4}{7} )-\frac{7}{4} x=\frac{7}{2}(-\frac{4}{7} )[/tex]
[tex]x=-\frac{28}{14}\\ x=-2[/tex]
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
The position of each boat can be modeled by a first order equation.
I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So
[tex]A(t) = 0 + 3t[/tex]
They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So
[tex]B(t) = 30 - 6t[/tex]
How soon will the boats meet?
This is t when:
[tex]A(t) = B(t)[/tex]
[tex]3t = 30 - 6t[/tex]
[tex]9t = 30[/tex]
[tex]t = \frac{30}{9}[/tex]
[tex]t = 3.33[/tex]
The boats will meet in 3.33 hours.
I just need some help with my pre-alg :)
Answer:
C
Step-by-step explanation:
Look at the attachment
What the simplified radical form is
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
for the inverse variation equation p= 8/v what is the value of p when V=1/4?
Answer:
for v=1/4 , p=32
Step-by-step explanation:
p=8:1/4=8*4/1=32
Answer:
D: 32
Step-by-step explanation:
For edge
When graphing an equation in slope-intercept form, what is the first step.
Answer:
Typically the answer is Graph the y intercept because when you do slope intercept you cant always start with the origin unless you don't have a b to base it off of.
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)
Answer:
$1,263.75
Step-by-step explanation:
8425×0.15=1263.75
Answer: $1263.75
Step-by-step explanation:
$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.
So, you would owe $1263.75 in taxes at the end of the year.
Francesca made a rug to go in her daughter's room. The length is 5 ft and the width is 8 ft. What is the perimeter AND area of the rug?
Perimeter:
Area:
Step-by-step explanation:
Length of the room is 5 ft and the width is 8 ft.
Perimeter is equal to the sum of all sides of the room.
The shape of room is rectangle.
The perimeter of rectangular room is given by :
[tex]P=2(L+B)\\\\P=2(5+8)\\\\P=26\ ft[/tex]
Area of a rectangular shaped room is given by :
[tex]A=L\times B\\\\A=5\times 8\\\\A=40\ ft^2[/tex]
So, the perimeter and area of the rug are 26 feet and 40 sq feet.
Rewrite (2 + 6)5 using the Distributive Property.
Answer:
5 * 2 + 6 * 5
Step-by-step explanation:
Distributive Property.
HELP I suck at algebra 1
Answer:
1. r = -4
3. n=6
5. m = -5
7. x=0.66= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
1.
-52=4(7+5r)
-52=28+20r
Subtract 20r from both sides
-20r-52=28
Add 52 to both sides
-20r=80
Divide both sides by -20
r = -4
3.
8(n-5)=-5n+38
8n-40=-5n+38
Add 5n to both sides
13n-40=38
Add 40 to both sides
13n=78
Divide both sides by 13
n=6
5.
-33+5m=2(1+6m)
-33+5m=2+12m
Subtract 12m from both sides
-33-7m=2
Add 33 to both sides
-7m=35
Divide both sides by -7
m=-5
7.
2(7x-2)=2(x+4)
14x-4=2x+4
Subtract 2x from both sides
12x-4=4
Add 4 to both sides
12x=8
Divide both sides by 12
x=0.66...
What is the answer to this question? :)
Answer: The answer for this question is C.
Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.
Answer:
[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.
So: [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]
Hope this helps :)
During a science investigation six students divided 15 pounds of potting soil equally write an equation that shows how many pounds is a potting soil each student received between which two whole numbers does your answer lie
Answer: it lies between 2 and 3.
Step-by-step explanation:
You equation should be like this because what you wrote is not an equation.
15/6= p where P is the number of pounds each student received.
p=2.5
Jenny is ordering a sandwich with one type of meat and one type of cheese, if there are 6 cheese and 5 meat , how many different combs could she order
Answer:
30
Step-by-step explanation:
what is the slope of the line 7x+2y=5
Answer:
slope = -7/2x
Step-by-step explanation:
you can solve the equation in order to make it slope-intercept form.
7x + 2y = 5
2y = -7x + 5
divide everything by 2
it becomes y = -7/2x + 5/2
The required slope of the line is m = -7 / 2.
A line can be defined by the shortest distance between two points is called a line.
Method 1
7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5 - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5
Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2
Thus, the required slope of the equation is m = -7/2
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The ratio of the number of left handers to the number of right handers in a middle school is 6:15. If there are 120 left handers, how many right handers are there? (WILL GIVE BRAINLIEST)
Answer:
300 right handers
Step-by-step explanation:
Answer:
The answer is 300 right handers.
Step-by-step explanation:
I looked up the question on google, and found the workbook that it came from. Towards the bottom of the book is the answers so I matched the question to the list of answers and found that it is 300 right handers.
what times 8 equals 2
2=x8
x=?
Please help! :0
Answer:
1/4 or .25
Step-by-step explanation:
8x =2
Divide by 8 on both sides
8x=2
__. ___
8. 8
x = 2/8=1/4 or .25
Answer: x equals 1/4 or 25% or 0.25
1. Which situation is best described by a negative integer?
A. a deposit of $25
B. a fine of $12
C. a gain of 12 yards
D. a bonus of 10 points
Answer:
A
Step-by-step explanation:
I may be wrong but when you deposit something you take it away.
(100 POINTS):( You will be reported if you provide an inapplicable answer)
use this function to answer the questions
f(x) = 2x^2 − 5x + 3
-Find The X intercepts of the graph
-Is the Vertex Going To Be Minimum Or Maximum? (I may be able to figure this one out)
-What is The Coordinates Of The Vertex?
-What Would You Do To Graph f(x)?
Please Explain because I want to understand it! mainly just need help with the first and then I may be able to take it from there.
Answer:
x-intercept(s):
(1,0),(3/2,0)
y-intercept(s): (0,3)
Use the formula
x=−b/2a to find the maximum and minimum.
Ans;(5/4,−1/8)
Coordinates Of The Vertex
(5/4,−1/8)
Zero (roots)
x=1,3/2
Step-by-step explanation:
