Step-by-step explanation:
Let kate age be x
and Her brother age be x - 10
according to equation
x + 3 = 2(x-10+3)
x + 3 = 2x - 14
2x - x = 14 + 3
x = 17
Therefore ;
Kate's present age = 17
Her brother's present age = 17-10 = 7
Find the percent of discount. Round to the nearest tenth
Original price: $24,365
Sale price: 16,820
Answer: 69%
Step-by-step explanation:
16820x100= 1682000
1682000÷24365=69.033
Minerva buys used bicycles, repairs them, and sells them for a profit. She bought a bicycle for $10, repaired it, and sold it for $50. What was the percent increase in the price of the bicycle.
A. 400%
B. 80%
C. 40%
D. 4%
it is an increase of 400%
Final answer:
The percent increase in Minerva's bicycle price is calculated by subtracting the original price from the new price, dividing by the original price, and then multiplying by 100%. The calculation results in a 400% increase.
Explanation:
The percent increase in the price of the bicycle that Minerva bought and sold is calculated using the formula for percent change, which is (New Price - Original Price) / Original Price times 100%. In this case, the original price is $10 and the new price is $50.
To calculate the percent increase:
($50 - $10) / $10 times 100% = $40 / $10 times 100% = 4 times 100% = 400%.
Therefore, the correct answer is 400%, which is option A.
Help help help help h
Answer:
-5,120
Step-by-step explanation:
The pattern is increasing by x*2
I would say -100
You would find this out by identifying your 'a' which is the first number of the sequence, in this case it is -5
Then you would find the common ratio. You do that by dividing any two of the numbers after your 'a' For this one I chose to divide -20 by -10 and that gets you 2.
You would multiply those together, getting you -10.
So, from here you would put the term you are trying to find (in this case it is the 11th term) and subtract it by one
11-1=10
Lastly, you would multiply your -10 by 10 and get yourself a -100
Formula: nth term = a1^n-1
Hope this helps :) Sorry if it is kinda confusing...
Which simple solid looks like a square from above, a triangle from the front, and a triangle from the side?
Answer:
pyramid with square base.
Step-by-step explanation:
We have been given some description about a simple solid which looks like a square from above, a triangle from the front, and a triangle from the side.
Now we need to figure out which solid has above properties.
The answer will be pyramid with square base. Because side walls of pyramid are always in same shape.
Find the value of x.
Answer options: 60, 57, 69, 63
Answer: First option
Step-by-step explanation:
By definition, you know that:
[tex]55\°=\frac{170\°-x}{2}[/tex]
Therefore, to calculate the measure of the missing angle, you must solve for x, as you can see below:
- Multiply both sides of the equation by 2.
- Subtract 170 from both sides of the equation.
- Multiply both sides of the equation by -1
Therefore:
[tex]55\°=\frac{170\°-x}{2}\\\\(2)55\°=\frac{170\°-x}{2}(2)\\\\110\°=170\°-x\\110\°-170\°=170\°-x-170\°\\(-1)-60\°=-x(-1)\\x=60\°[/tex]
Da la answer is 60
Step-by-step explanation:
Gradpoint approved
What is the difference between arithmatic and geometric sequences
When lines are perpendicular their slopes flip and?
Answer:
Their sign changes.
For this case we have to:
Given two lines:
[tex]y_ {1} = m_ {1} x_ {1} + b_ {1}\\y_ {2} = m_ {2} x_ {2} + b_ {2}[/tex]
By definition, if both lines are perpendicular to each other, then the product of their slopes is -1. That is to say:
[tex]m_ {1} * m_ {2} = - 1[/tex]
ANswer:
The product of the slopes of two perpendicular lines is -1.
How many times does 7 go into 40
Answer:
5.7 times
Step-by-step explanation:
You have just spoken to your insurance agent and you are interested in investing in a 20-Payment Life insurance policy. Given that you are a 25-year-old healthy female, determine the annual premium for a policy with a face value of $55,000.Use the table provided below and round your answer to the nearest cent where necessary.
a.
$1,377.20
c.
$1,427.80
b.
$790.90
d.
$1,475.65
Answer: You can use this to help you out:
Determine the term life insurance amount per thousand on a 20-year-old male for a 10-year policy given that the face value of the policy is $65,000 and the annual premium is $291.85.
a.
$0.00449
c.
$0.2227
b.
$4.49
d.
$222.72
First find how many thousands on the amount of the face value
You do that by dividing the amount of the face value by 1000
65,000÷1,000=65
So the term life insurance amount per thousand is
291.85÷65=4.49...answer
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Answer:
a. $1,377.20
Step-by-step explanation:
To determine the annual premium for the policy, you have to divide the face value by 1,000:
$55,000/1,000= $55
Then, you have to multiply this result for the rate found on the table, which according to the information given is $25.04:
$55*$25.04= $1,377.20
The annual premium for the policy is $1,377.20.
Three values on a number line are labeled F, G, and H . Which number line correctly shows the values of F, G, and H?
Answer:
C
Step-by-step explanation:
F must be on -4
H must be on 4 (because it is -f=-(-4)=-1•-4=4)
Answer:
Step-by-step explanation:
the answer is c
A 1/2 yard of ribbon is needed for a craft project. How much ribbon will remain from a piece that measures 7/8 yard?
To find out how much ribbon is left after using 1/2 yard from a piece that is 7/8 yard long, convert 1/2 yard to 4/8 and subtract from 7/8, leaving you with 3/8 yard of ribbon remaining.
To determine how much ribbon will remain after using 1/2 yard for a craft project from a piece that measures 7/8 yard, you need to subtract the amount used from the total length you have. Since we are working in yards, ensure both amounts are in the same units. Here are the steps to find the remaining ribbon:
Start with the total length of ribbon: 7/8 yard.
Subtract the length of ribbon used for the project: 1/2 yard.
Convert 1/2 yard to an equivalent fraction with a denominator of 8, which is 4/8 yard.
Subtract 4/8 yard from 7/8 yard to find the remaining length.
7/8 yard - 4/8 yard = 3/8 yard remaining.
So, after using 1/2 yard of ribbon for a craft project, you will have 3/8 yard of ribbon left from the original 7/8 yard piece.
Mr. Ramierz had $600. He gave 3/5 of it to his wife and spent 3/8 of the remainder. How much did he spend?
Answer:
he spent $135
Step-by-step explanation:
He spent $135
1. 0.6(600)=360
2. 0.375(360)=135
Prove:Sinx-2sin3x+sin5x=2sinx(cos4x-cos2x)
A = sinx - sin3x,
B = -sin3x + sin5x
First A:
The average of x and 3x is 2x, and they (x and 3x, that is) are each a distance of x from this average. That's fancy talk for:
x = 2x-x,
3x = 2x+x.
So, A = sin(2x-x) - sin(2x+x)
Using angle sum formulas:
A = (sin2x cosx - cos2x sinx) - (sin2x cosx + cos2x sinx)
A = -2 cos2x sinx
Similarly,
B = -sin(4x-x) + sin(4x+x)
= -(sin4x cosx - cos4x sinx) + (sin4x cosx + cos4x sinx)
B = 2 cos4x sinx
Now,
sinx - 2sin3x + sin5x = A+B = -2 cos2x sinx + 2 cos4x sinx
= 2 sinx (cos4x - cos2x).
Sinx-2sin3x+sin5x=2sinx(cos4x-cos2x)
Step-by-step explanation:sinx - 2sin3x + sin5x = sinx - sin(3x) + sin(5x)- sin(3x)
= 2· cos[(x+3x)/2] · sin[(x-3x)/2] + 2·cos[(5x+3x)/2]· sin[(5x-3x)/2]
= 2· cos(2x) ·sin(-x) + 2· cos(4x) · sin(x)
= -2·cos(2x)·sinx + 2· cos(4x)·sinx
= 2·sinx · [ cos(4x)- cos(2x)]
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). input -1 0 -1 -8 9 output 0 1 2 4 8 function relation neither
Answer:
Relation.
Step-by-step explanation:
This is a relation but not a function. The input -1 maps to both 0 and 2; this is a one-to-many relation so it is not a function. Functions are either one-to-one or many-to-one.
Answer:
Relation cause its not a function
Step-by-step explanation:
This is a relation but not a function.
The dimensions of the nations smallest post office are 8 ft 4 in x 7 ft 3 in. Why would you use the measurement 8 ft 4 in. instead of 7 ft 16 in?
Answer:
The explanation in the procedure
Step-by-step explanation:
we know that
[tex]1\ ft=12\ in[/tex]
In this problem is correct to use the measurement [tex]8\ ft\ 4\ in[/tex] instead of [tex]7\ ft\ 16\ in[/tex]
because
[tex]16\ in=12\ in+4\ in=1\ ft+4\ in[/tex]
therefore
[tex]7\ ft\ 16\ in=7\ ft\ +1\ ft+4\ in=8\ ft\ 4\ in[/tex]
I need help with this question??
Answer:
2d + 8
Step-by-step explanation:
twice the number d = 2 × d = 2d and 8 more means add on 8, that is
2d + 8 ← is the variable expression
(d x 2) + 8
deconstruct it from the end of the sentence- twice the number 'd' and add 8
what is the value of p, rounded to the nearest tenth
Answer:
Step-by-step explanation:
Triple 15 = p
(236 + 542) + N = 863
➷ 236 + 542 = 778
778 + N = 863
Subtract 778 from both sides:
N = 85
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
85
Step-by-step explanation:
(236+542)+N=863 add the parenthesis first which gives you 778 subtract 778 by 863 which gives you 85 therefore your answer is 85
Please answer quickly for me
Answer:
f(x)⁻¹ = x³ + 2
Step-by-step explanation:
Find the inverse of f(x) = ∛(x - 2).
The first step is to let f(x) = y
y = ∛(x - 2)
Then make x the subject of the formula
y³ = [∛(x - 2)]³
y³ = x - 2
x = y³ + 2
∴ f(x)⁻¹ = y³ + 2
Replacing y with x we have.
f(x)⁻¹ = x³ + 2
2x+x-6x combine terms
Answer:
-3x
Step-by-step explanation:
Combine like terms (terms with the same amount of variables). Note that + x = + 1x. First add, then subtract:
2x + x = 3x
3x - 6x = -3x
-3x is your answer.
~
Answer:
6x
Step-by-step explanation:
COCIOLTO
2 Points
At a hardware store, the probability that a customer buys nails is 0.10. The
probability that a customer buys nails given that the customer buys a
hammer is 0.40.
Which statement is true?
O
A. Every customer who buys nails also buys a hammer.
O
B. Buying a hammer and buying nails are independent events.
O
C. Buying a hammer and buying nails are dependent events.
O
D. The probability that a customer buys a hammer and nails is 0.30.
SUBMIT
Answer: The answer is C
Step-by-step explanation:
Answer:
Option C is correct.
Step-by-step explanation:
C. Buying a hammer and buying nails are dependent events. - This is correct.
Two events are said to be dependent on each other, if the occurrence of the first event affects the occurrence of the second event thus changing the probability. Here the probability for both the events is [tex]0.10\times0.40=0.04[/tex]
In the equation, what is the value of x? −4(x + 4x) = 2(2 − x) + 10 A) − 7/ 9 B) − 9/ 7 C) 7 9 D) 9/ 7 Submit
The solution to the given equation is x = -7/9, after simplifying and solving for x.
Explanation:To simplify the equation -4(x + 4x) = 2(2 - x) + 10, start by combining like terms within the parentheses: -4(5x) = 2(2 - x) + 10. This leads to -20x = 4 - 2x + 10. Further simplifying, you get -20x = 14 - 2x. Now, add 2x to both sides to eliminate the variable on the right, resulting in -18x = 14. To isolate x, divide both sides by -18, yielding x = -14/18, which can be further reduced to x = -7/9. In summary, the equation simplifies to x = -7/9 after a series of steps.
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Which equation can be used to find the value of x in this figure. I’m so stumped but I think it is c
Answer:
[tex]106\°+x=180\°[/tex]
Step-by-step explanation:
Observing the figure
we know that
[tex]106\°+x=180\°[/tex] ----> by supplementary angles
Solve for x
[tex]x=180\°-106\°=74\°[/tex]
The population of certain region is 60 people per square kilometer If the region convers 23 square kilometer what is the population of the region
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
A y=-4.105x+1.560
B. y = 1.560x - 4.105
c. y= -1.560x+ 4.105
d. y = 4.105x – 1 560
Answer: B. y = 1.560x - 4.105*****
Answer:
Option B.
Step-by-step explanation:
The general equation of best fit line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
[tex]m=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}[/tex]
[tex]b=\overline{y}-b\overline{x}[/tex]
Using the graphing calculator we get
[tex]m=1.56015\approx 1.560[/tex]
[tex]b=-4.10526\approx -4.105[/tex]
Substitute m=1.560 and b=-4.105 in equation (1).
[tex]y=1.560x-4.105[/tex]
The equation of the line of best fit for the following data y = 1.560x - 4.105.
Therefore, the correct option is B.
Find the area of the unshaded portion of this figure. The figures shown below are a trapezoid and a rhombus. Show your work.
Answer:A-1/2h(b1+b2)
A-1/2*(10.1)*(30.5+21.4)
A-3296.135 i think
Step-by-step explanation:
To find the area of the unshaded portion of a figure containing a trapezoid and a rhombus, calculate the area of each figure first using their respective formulas. Subtract the area of the overlapping (shaded) region from the total to find the area of the unshaded portion.
Explanation:The problem asks to find the area of the unshaded portion of a figure, which includes a trapezoid and a rhombus. Since we don't have the specific values of the sides and heights of each figure, a general approach would be to calculate the area of each figure first, then subtract the area of the shaded (overlapping) region from it.
The formula for the area of a trapezoid is A = 1/2 (a+b)h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the height. For the rhombus, the formula is A = 1/2 (d1 * d2), where 'd1' and 'd2' are the diagonals.
Assuming you can measure and determine the shaded region, you would compute its area as well and subtract this from the total of the previous two calculations. This would give you the area of the unshaded portion.
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A veterinarian divided 2/5 of a bottle of medicine equally among some sick cats. She gave each cat 1/5 of a bottle of medicine. How many sick cats were there?
The veterinarian gave each cat 1/5 of a bottle of medicine. By dividing the total medicine (2/5 of a bottle) by 1/5, we find that there were 2 sick cats.
Explanation:To find the number of sick cats, we need to divide the amount of medicine given to the cats by the amount given to each cat. Since each cat received 1/5 of a bottle, we can divide the total medicine (2/5 of a bottle) by 1/5 to find the number of cats. This can be done by multiplying the total medicine by the reciprocal of 1/5, which is 5/1.
Convert 2/5 to an improper fraction: 2/5 = 2 ÷ 5 = 2/5Multiply the total medicine by the reciprocal of 1/5: 2/5 × 5/1 = 2 × 5 / 5 × 1 = 10 / 5 = 2Therefore, there were 2 sick cats.
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Which number line shows the solution set for |h-2| = 4
Answer:
The Second Option is your Answer ( Option 2)
Step-by-step explanation:
1) proof ( replace h with -2)
|-2-2| = 4
|-4| = 4
2) proof ( replace h with 6)
|6-2| = 4
|4|=4
Hopes this helps !
Answer:
[tex]h = -2\\h = 6[/tex]
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function [tex]f(x) = |x|[/tex] x> 0 for all real numbers.
Then the equation:
[tex]|h-2| = 4[/tex] has two cases
[tex](h-2) = 4[/tex] if [tex]h > 2[/tex] (i)
[tex]-(h-2) = 4[/tex] if [tex]h < 2[/tex] (ii)
We solve the case (i)
[tex]h = 4 + 2\\h = 6[/tex]
We solve the case (ii)
[tex]-h +2 = 4\\h = 2-4\\h = -2[/tex]
Then the solution is:
[tex]h = -2[/tex] or [tex]h = 6[/tex]
The product of a number and 2 is 20 less than the product of the number and -3. What is the number?
x = -4
steps:Let the number = x (set up an equation)
2x = -3x - 20
add 3x to both sides
5x = -20
divide by 5 on both sides
x = -4
The question involves creating and solving an algebraic equation. By interpreting the word problem, we create the equation 2x = -3x - 20. Solving this equation, we find that the number in question is -4.
Explanation:The subject matter here is algebra, which falls under Mathematics. From the question, we can create an algebraic equation to find the number. Since the product of the number and 2 is 20 less than the product of the number and -3, we can write this as 2x = -3x - 20, with 'x' representing the unknown number. Solving this equation for x, we add 3x to both sides, turning the equation into 5x = -20. Dividing both sides by 5, we find that x = -4. So, the number is -4.
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How many different outfits can be made when choosing between 3 shirts, 4 pairs of shorts and 2 pairs of shoes? Show work.
Answer:
24 outfits
Step-by-step explanation:
Since you have 4 choices of shirts, then 3 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 3 x 2. This gives you 24 outfit options.