Answer:
The value not permissible for a is -3.
Step-by-step explanation:
Considering real numbers, the expression is undefined for any value a for which the denominator expression is zero.
[tex]\frac{a^2}{2a+6}, \,\,\,2a+6\neq 0\implies a\neq -3[/tex]
The expression is valid for all real numbers, except -3.
Answer:
a≠-3
Step-by-step explanation:
We cannot divide by zero, so the denominator cannot be zero
2a+6≠ 0
Subtract 6 from each side
2a+6-6≠ 0-6
2a ≠-6
Divide each side by 2
2a/2 ≠-6/2
a≠-3
Please help me ASAP:
Due to inflation there were two demand increases. After the second, the price for the certain item became 6 times the original. What was the percent increase of the second if the first increase was 50%?
Final answer:
To find the percent increase for the second demand increase when the original price is sextupled and the first increase was 50%, we calculate the ratio of the final price to the price after the first increase. The second price increase was determined to be 300% based on this calculation.
Explanation:
The question asks us to determine the percent increase of the second price change when the price of an item becomes six times its original price, with the first price increase being 50%. To solve this, let's assume the original price is $1 for ease of calculation. After a 50% increase, the new price would be $1.50. Now, we know that after the second increase the new price is 6 times the original, which means the price is now $6.00.
To calculate the percent increase of the second price change, we divide the final price by the price after the first increase: $6.00 / $1.50 equals 4. This means the price was quadrupled. To find the percentage increase, we subtract the initial value (1, since it was multiplied by 4) and then multiply by 100. Therefore, the percent increase for the second time is (4 - 1) × 100% which equals 300%. The second price increase was 300%.
18) Store A: $25 for a 45 minute lesson Store B: $30 for a 1 hour lesson Store C: $45 for a 1.5 hour lesson Store D: $80 for three 1 hour lessons Julie wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST deal? A) Store A B) Store B C) Store C D) Store D
Answer:
Store D has the best deal
Step-by-step explanation:
We will divide cost per minutes
Store A: $25 for a 45 minute lesson
$25/45 minutes
$.5555555 per minute
Store B: $30 for a 1 hour lesson
1 hour = 60 minutes
$30/60
$.5 per minute
Store C: $45 for a 1.5 hour lesson
1.5 hours* 60 minutes/ hour = 90 minutes
$45/ 90
$.5 per minute
Store D: $80 for three 1 hour lessons
3 * 1 hour = 3 hours
3 hours * 60 minutes/ 1 hour = 180 minutes
$80/ 180 =
$.4444 per minute
After calculating the cost per minute for swim lessons at each store, Store D is revealed to have the best deal at approximately $0.44 per minute.
We need to calculate the cost per minute for each option Julie has. Here's the breakdown:
Store A: $25 for a 45-minute lesson = $25 / 45 minutes = approximately $0.56 per minute
Store B: $30 for a 1-hour lesson = $30 / 60 minutes = $0.50 per minute
Store C: $45 for a 1.5-hour lesson = $45 / 90 minutes = $0.50 per minute
Store D: $80 for three 1-hour lessons = $80 / 180 minutes = approximately $0.44 per minute
Comparing these rates, we see that Store D offers the lowest cost per minute for swim lessons. Therefore, the best deal would be with Store D.
Please help. Urgent.
3. ΔPQR ≅ ΔSRT
3. ASA (Angle - Side - Angle) - we have two triangles where we know two angles and the included side are equal
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
4. PR ≅ SR
4. ΔPQR ≅ ΔSRT - the corresponding sides are congruent.
find the area of a circle with a circumference of 11pi feet
Answer:
Step-by-step explanation:
did this on my hw got a 100
The area of the circle has a circumference of 11pie is 94.98 ft sq.
What is the area of the circle?The area of the circle is the region enclosed by a circle of radius r.
The area of the circle = [tex]\pi r^{2}[/tex]
It is given that
The circumference of a circle = [tex]2\pi r[/tex] = 11π
[tex]2\pi r[/tex] = 11π
r = 11/2
The area of the circle = [tex]\pi r^{2}[/tex]
= [tex]\pi \times (11/2)^{2}[/tex]
= [tex]3.14 \times 121/4\\[/tex]
= 94.98 ft sq
Thus, The area of the circle has a circumference of 11pie is 94.98 ft sq.
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Find the value of each variable and the measure of arc LM. The diagram is not drawn to scale.
Answer:
x = 90
y = 50
Arc LM = 100
Step-by-step explanation:
Arc MK = 180 degrees
<x = 1/2 Arc MK
<x = 90 degrees
<x + <y + 40 = 180 all angles in a triangle add to 180
90 + <y + 40 = 180
130 + < y = 180
Subtract 130 from each side
< y = 50
Arc LM
1/2 Arc Lm = <y
1/2 Arc LM = 50
Multiply by 2
Arc LM = 100
Answer by YourHope:
Hi! :)
x = 90
y = 50
Arc LM = 100
:)
The school that Carlos goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 1 child ticket for a total of $45. The school took in $190 on the second day by selling 12 citizen tickets and 14 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
The price for both senior and child tickets are $9 each
Step-by-step explanation:
Since your just trying to find the price for senior citizen and child tickets, we'll use the equation for the first day:
4x + x = $45
5x = $45
x = 9
now plug it for 4x and x
4(9) = $36 <<divide $36 by 4 == $9
$9 for each child ticket
when a certain amount is divided into the ratio 2:3, the larger is $1200. What amount was shared?
A.$800.00
B. $400.00
C. $2000.00
D. $1600.00
The total amount shared was $2000.00
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.Ratio is denoted by "is to" (:) between the expressions.How to find what was the amount shared?According to the problem,
A certain amount is divided into the ratio 2:3.The larger amount is $1200We can say that the amount of money is divided in to $2x and $3x
Clearly 3x is larger and will represent $ 1200
∴ 3x = 1200
⇒ x = 400
∴ The other part will be $ 2x = $ 800
∴ Total amount shared was $ (800 + 1200) = $2000.00
So, option C is correct.
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100% of this force does work on the object. which one? A.) Arrow B
B.) Arrow C C.) Arrow A
Answer:
Arrow C
Step-by-step explanation:
As we can see that when we apply at arrow A the force is downward while the force acting by the board is upward which cancels the effect so no work will be done
Now about the Arrow B when we apply a force on it then a force will act and body will move so work will be done
we knot that
Work done = Force . Displacement
Work = Fd cos Ф
Here in B it will not be maximum because there will be an angle acting on it which is greater then 0 so it will not maximum
while in case of arrow C the angle between force and displacement is 0
as cos(0)=1
so work done = Fd which is the maximum value
A $50 coat is put on sale for $35 find the percent of change
Answer:
70%
Step-by-step explanation:
To solve the equation you would do 35/50= ?/100
So step one would to be to multiply 35 by one hundred.
Then you divide by 50
then you should get 70.
so 70% is the answer
To calculate the percent change for a coat reduced from $50 to $35, you subtract the sale price from the original price, divide by the original price, and multiply by 100, resulting in a 30% decrease.
You first determine the amount of change in price, which is the original price subtracted from the sale price. In this case, the price decreased by $15 ($50 - $35). To find the percent change, divide the amount of change by the original price and then multiply by 100 to convert it to a percentage.
Percent Change = ($15 / $50) × 100
= 0.3 × 100
= 30%
Therefore, the coat was put on sale with a 30% decrease in price.
Isabella is making cookies. The recipe requires 3/4 of a cup of flour and 1/2 of a cup of sugar.
Which of the following is true?
A.
measure of flour > measure of sugar
B.
measure of flour < measure of sugar
C.
measure of flour = measure of sugar
Answer:The measure of the flour is greater than the measure of the sugar
Step-by-step explanation:
explain whether 8t-3y-4t is equivalent to 7t +(-3t)-3y
First you must simplify the equation. 7t+(-3t) is equal to 4t. Then we subract 3y from 4t. This brings us to 4t-3y. We also can simplify the first equation. We can move 4t to 8t and we then get 8t-4t-3y which is equal to 4t-3y. We know that 4t-3y=4t-3y.
Hopw this helps. <3
The solution is A = 4t - 3y
The value of the equation A is A = 4t - 3y
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
A = 8t - 3y - 4t be equation (1)
Let the equation B = 7t + ( -3t ) - 3y be equation (2)
Now , on simplifying the equation (1) , we get
A = 8t - 4t - 3y
A = 4t - 3y
So , the value of A is 4t - 3y
Now , on simplifying the equation (2) , we get
B = 7t + ( -3t ) - 3y
B = 7t - 3t - 3y
The value of B = 4t - 3y
Therefore , the value of A is equal to value of B
Hence , the equation A is equivalent to equation B
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a container has dimes and nickels. there are 30 diems in the container .if 50%of the coins in the container are dimes, how many coins are in the container
Subtract: (2x2 - 6x + 7) - (5x2 + 2x - 8).
2x^2 - 6x + 7 - (5x^2 + 2x - 8)
Distributive a -1 to each term in the parentheses.
2x^2 - 6x + 7 - 5x^2 - 2x + 8
Combine like terms.
-3x^2 - 8x + 15 is the expression after being subtracted.The subtraction of the given polynomials (2x² - 6x + 7) - (5x² + 2x - 8) results in the polynomial -3x² - 8x + 15.
To subtract the given polynomials, we rewrite the subtraction as an addition of the opposite. The original expression is (2x² - 6x + 7) - (5x² + 2x - 8). Changing subtraction to addition, we have (2x² - 6x + 7) + (-5x² - 2x + 8).
We combine like terms:
For x²: 2x² - 5x² = -3x²For x: -6x - 2x = -8xFor the constant: 7 + 8 = 15The result of the subtraction is therefore -3x² - 8x + 15.
Tom had 322 dollars to spend on 9 books. after buying them he had 16 dollars. How much did each book cost?
Answer:
He spent 34 dollars on each book
Step-by-step explanation:
first you subtract 16 from 322 and it would be 306 and then you divide 306 by 9 and that would be the total of each book!! <3
Answer:
The answer is $35
Step-by-step explanation:
First you divide 322 my 9 so you can get 35, that was the price of each book.
hope it helps:)
write the equation of the line in slope intercept form with the given conditions (slope = 3 and passes through (1,-3))
Answer:
Because we have a point and slope, we can use at the beginning the point-slope form: y-y1=m(x-x1)
Step-by-step explanation:
m=3 , x1=1 , y=-3
y-(-3)=3(x-1)
y+3=3x-3 subtract 3 from both sides
y=3x-6 the answer in the slope-intercept form y=mx+b
How many thousands = 4,000 ones
Find the volume of each figure. A cube with s=3. Show your work . Simplify your answers.
Answer:
27 units^3
Step-by-step explanation:
A cube's volume is denoted
[tex]x^{3}[/tex]
where x is a side. 3 is the side so it is
[tex]3^{3}[/tex]
which is 27.
You are baking brownies. The recipe asks for 23 cup of walnuts. All you have is 13 cup. How many walnuts are you missing from the recipe?
You have 1 cup of walnuts missing.
You have 13 cup of walnuts missing.
none of these
You have 23 cup of walnuts missing.
ms jefferson spent $15 to buy 12.8 ounces of smoked trout what was the cost per pound
Answer:
Step-by-step explanation:
Pounds to Ounces: 1 ounce = 0.625 pounds
12.8 ounces = 0.8 pounds
15/0.8 = 18.75 dollars
18.75 dollars
The perimeter of the rectangle below is 220 units. Find the length of side AD.
Length AD= 4z
Length AB= 5z+2
The length of side AD is 48 units.
To find the length of side AD in terms of z, we can use the information given about the perimeter of the rectangle.
The perimeter (P) of a rectangle is given by the formula:
P=2×(Length+Width)
In this case, the length of the rectangle is AD (which is 4z) and the width is AB (which 5z+2).
So, the perimeter (P) is given by:
P=2×(4z+5z+2)
Given that the perimeter is 220 units, we can set up the equation:
220=2×(4z+5z+2)
Now, solve for z:
220=2×(9z+2)
Divide both sides by 2:
110=9z+2
Subtract 2 from both sides:
108=9z
Divide by 9:
z=12
Now that we have the value of z, we can find the length of side AD:
Length AD=4z
Length AD=4×12
Length AD=48
So, the length of side AD is 48 units.
how many x-intercepts does the graph of y=4x^2-12x+9
The graph of the equation y=4x²-12x+9 has exactly one x-intercept because the discriminant of the quadratic equation is zero, indicating that there is only one real root.
The graph of the equation y=4x²-12x+9 is a parabola. To determine the number of x-intercepts, we look for solutions to the equation obtained by setting y to zero: 0=4x²-12x+9. The x-intercepts are the points where the graph crosses the x-axis, which correspond to the real roots of the equation.
To find the roots, we can apply the quadratic formula, x = (-b \\u00b1 \\sqrt{b² - 4ac})/(2a), where a=4, b=-12, and c=9. In this case, the discriminant (the part under the square root) is b² - 4ac = (-12)² - 4(4)(9) = 144 - 144 = 0.
Since the discriminant is zero, there is exactly one real root, which means the parabola touches the x-axis at exactly one point. Therefore, the graph of y=4x²-12x+9 has one x-intercept.
A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation? A. 1.5 B. 2 C. 2.5 D. 3
Answer:
2.5
Step-by-step explanation:
just got it right
I bet the boy can answer the question, with the work !
Answer:
n= 40
Step-by-step explanation:
(60-5)divided by 1 3/8 =n
Answer:
Number of albums in the crate are 40.
Step-by-step explanation:
Lets start the sum to form the equation as per language given.
As given number of albums = n
Therefore n albums will weigh = n×( 11/8) Pounds
Weight of the crate given = 5 pounds
So total weight of the crate including albums = weight of the crate + weight of albums.
So the equation will be 60 = 5 + n×11/8
8×60 = 8×(5+11n/8)
480 = 40 + 11n
11n = 480 - 40
11n = 440
n = 440÷11
n = 40
so number of albums in the crate will be 40.
On Sunday, Sheldon bought 3 and 1/2kg of plant food. He used 1 and 2/3kg on his strawberry plants and used 1/4 kg for his tomato plants .
How many kilogramsof plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
Answer:
Step-by-step explanation:
3 1/2-1 2/3-1/4
At first, the ratio of Dave's savings to Sam's savings was 5:4. After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10. What was Dave's savings at first?
Answer:
$300
Step-by-step explanation:
Let D = Dave's savings and S = Sam's savings.
(1) D/S = 5/4
(2) (D – 40)/(S-40) = 13/10 Multiply (1) by 4S
(3) 4D = 5S Multiply (2) by 10(S-40)
10(D - 40) = 13(S - 40) Remove parentheses
(4) 10D – 400 = 13S - 520 Solve (3) for S
S = (4/5)D Substitute into (4)
10D – 400 = 13(4/5)D - 520 Multiply each side by 5
50D – 2000 = 52D – 2600 Subtract 50D from each side
-2000 = 2D – 2600 Add 2600 to each side
600 = 2D Divide each side by 2
D = $300
Dave's savings at first were $300.
How do I know is this is a proportional relationship
Answer:
They are the same
Step-by-step explanation:
Notice how both 2's, 4's, 6's, and 8's are aligned. The arrows mean this could go on forever, meaning each tic mark would be proportionate. All numbers are even, as well. If you were to find slope, or create an equation, it would be proportionte.
Hope this helps!
Dr. Hall files 320 insurance claims every month. if 5% of those claims are rejected, how many claims are rejected? How many are accepted?
Los lados de un triangulo rectangulo miden 6cm, 8cm, y 10cm ¿cuanto mediran los catetos de un triangulo semejante al primero si tiene 5cm de largo en su hipotenusa?
Answer:
Los catetos miden 3 cm y 4 cm.
Step-by-step explanation:
5 cm/10 cm = 1/2
6 cm * 1/2 = 3 cm
8 cm * 1/2 = 4 cm
Can someone plz solve this for me??
The height of the new rectangle is 7.5cm
We shall use the proportion of the lengths of the original and enlarged rectangles to find the height of the new rectangle
Let the height of the new rectangle = h.
The proportion of the lengths of the original and enlarged rectangles = original length / enlarged length = original height / enlarged height
Plugging in the values, we have:
12/18 = 5/h
12 * h = 18 * 5
We solve for h:
12h = 90
h = 90/12
h = 7.5cm
Thus, the new rectangle's height is 7.5cm.
Pls help I will mark brainliest
Answer:
1 12/13
Step-by-step explanation:
3 1/8 ÷ 1 5/8
We need to change the fractions to mixed numbers
3 1/8 = (8*3+1) /8 = 25/8
1 5/8 = (8*1+5)/8 =13/8
25/8 ÷ 13/8
We can use copy dot flip
25/8 * 8*/13
25/13
Now we change it back to a mixed number
13 goes into 25 1 time with 12 left over
1 12/13