15 POINTS!!!!!! HELPPPPP ASAP A music store has 500 guitar picks. They order 15 boxes with 9 picks each. They sell 19 boxes that have 10 picks each. The store manager says they now have about 450 guitar picks.
Is the manager's estimate reasonable?
500 guitar picks
order 15 boxes with 9 picks each
sell 19 boxes with 10 picks each
-> the store ordered about 150 picks (15 x 9 -> 15 x 10)
-> the store sold about 200 picks (19 x 10 -> 20 x 10)
it is reasonable, since they have 50 fewer picks which is about 450.
(second option)
Ryan is installing new flooring in his house. Ryan can install 121 square feet of flooring in 3 hours. How much new flooring can Ryan install in 24 hours?
Answer:
968 square feet
Step-by-step explanation:
Let x be the new flooring install in 24 hours.
Given:
Ryan can install 121 square feet of flooring in 3 hours.
So, Ryan can install flooring in one hour = [tex]\frac{121}{3} feet^{2}[/tex]
Ryan can install flooring in 24 hours.
[tex]x= 24\times flooring\ in\ one\ hour[/tex]
[tex]x=24\times \frac{121}{3}[/tex]
[tex]x=8\times 121[/tex]
[tex]x=968\ feet^{2}[/tex]
Therefore, Ryan can install 968 square feet of flooring in 24 hours.
Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4.
Answer:
[tex]\large \boxed{y + 1 = 4(x - 1)}[/tex]
Step-by-step explanation:
The point-slope formula for a straight line is
y - y₁= m(x - x₁)
x₁ = 1; y₁ = -1; m = 4
Substitute the values
[tex]\begin{array}{rcl}y - (-1) & = & 4(x - 1)\\y + 1 & = & 4(x - 1)\\\end{array}\\\text{The equation for the line in point-slope form is $\large \boxed{\mathbf{y + 1 = 4(x - 1)}}$}[/tex]
The figure shows the graph of the equation with slope 4 passing through (1, -1).
The point-slope form of the equation for the line that passes through the point (1, –1) with a slope of 4 is [tex]y + 1 = 4(x - 1).[/tex]
Explanation:To select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of 4, we use the formula [tex]y - y1 = m(x - x1),[/tex] where (x1, y1) are the coordinates of the given point and m is the slope of the line. In this case, the point-slope form of the equation becomes [tex]y + 1 = 4(x - 1).[/tex]
This equation represents a line with a slope (slope) of 4, which means for every one unit increase in x, y increases by 4 units. The equation is structured around a specific point, (1, –1), highlighting the characteristic of point-slope form that the line passes through the given point.
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PLEASE ANSWER ASAP!!
Fred earned $5,000 during the month of June.
Use the paycheck statement to find the missing amounts and percent rates of the taxes Fred paid.
Answer:
Fred paid US$ 310 to Social Security as a payroll tax
Fred paid US$ 72.50 to Medicare as a payroll tax
Fred paid 18% of his income to the Federal government as an income tax
Fred paid 5% of his income to the state government as an income tax
Step-by-step explanation:
Fred's earnings in June were $ 5,000
A. Payment to Social Security
5,000 * 6.2% = 5,000 * 0.062 = 310
B. Payment to Medicare
5,000 * 1.45% = 5,000 * 0.0145 = 72.50
C. Federal Income Tax
900/5,000 = 0.18 = 18%
D. State Income Tax
250/5,000 = 0.05 = 5%
Final answer:
Calculating net income, monthly income, and tax rates based on Fred's earnings in June.
Explanation:
Mathematics
Calculate the Net Annual Income for Fred:
Calculate Social Security deduction: $5,000 * 6.2% = $310Calculate Medicare deduction: $5,000 * 1.45% = $72.50Calculate Federal and State taxes: $5,000 * 15% = $750Net Annual Income for Fred: $5,000 - $310 - $72.50 - $750 = $3,867.50Calculate Monthly Income for Fred: $3,867.50 / 12 = $322.29
Percent Rates of Taxes Paid by Fred:
Percent of Social Security Tax: ($310 / $5,000) * 100 = 6.2%Percent of Medicare Tax: ($72.50 / $5,000) * 100 = 1.45%Percent of Federal and State Taxes: ($750 / $5,000) * 100 = 15%For each trip they charge on intail fee of 100 in additoin to a constant fee for each vertical letter climbed for instance the price for climbing to the shura volcianc cone which in 3000 meters above the base of the mountain in 400. Let f represent the fee in dollors of a trip they climbed d vertical meters
Answer:
f = 100 + 0.133d
Step-by-step explanation:
For each trip, they charge an initial fee of 100 in addition to a constant fee for each vertical meter climbed.
For example, for 3000 meters of climbing, they charged the additional constant fee of 400.
Therefore, per meter climbing they charges [tex]\frac{400}{3000} = 0.133[/tex].
Therefore, if f represents the fee in dollars of a trip they climbed d vertical meters then we can model the situation as
f = 100 + 0.133d (Answer)
y-x=15 y-x=5 using elimination
Answer:
No solution
Step-by-step explanation:
To eliminate is to get rid of one of the variables.
You can choose to either add each term in the equations or subtract each term in the equation.
For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.
Try adding them.
. y - x = 15
+ y - x = 5
2y - 2x = 20 No variables were eliminated.
Try subtracting.
. y - x = 15
- y - x = 5
0y - 0x = 10 All variables were eliminated.
. 0 = 10 This is false.
This system of equations cannot be solved.
Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.
Which of these is a complex number?
A. 9 + 375
OB. 5/1 3 - 2
oc. 2 - 1 / 1
OD. + A
Explanation:
Note: As you haven't clearly specified the answer choices. But, I am assuming one of the answer choices may have included some negative number under a square root, as a real number cannot have a negative number under a square root. So, whatever the choice may have contained the negative number under a square root would represent the complex number. Anyhow, I would try to clear your concept.
So, lets move forward.
A complex number is basically the combination of a real number and imaginary number which can be expressed in the form of [tex]a+ib[/tex]. where a and b are termed as real numbers and i is a solution of the equation x² = -1.
So,
In [tex]a+ib[/tex],
"i" is called iota.[tex]i=\sqrt{-1}[/tex]For example, let us consider
[tex]2 + \sqrt{-1}[/tex]
Here, 2 is a real part, And [tex]\sqrt{-1}[/tex] is imaginary part, meaning [tex]i=\sqrt{-1}[/tex], which is imaginary part.Therefore, [tex]2 + \sqrt{-1}[/tex] is a complex number.
Keywords: complex number, iota
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How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?
Answer:
Step-by-step explanation:
The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.
Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.
we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.
We can transform [tex]y = \log x[/tex] into [tex]y = \log 2\cdot x +3[/tex] by means of the following operations:
Replace [tex]x[/tex] by [tex]2\cdot x[/tex]. (Dilation factor: 2)Translate the resulting expression 3 units in the +y direction. (Vertical translation)That is, we represent the operations defined above mathematically:
1) [tex]y = \log x[/tex]
2) [tex]y = \log 2\cdot x[/tex]
3) [tex]y = \log 2\cdot x + 3[/tex]
In a nutshell, we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.
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Use the Distributive Property to rewrite the the expression -6 (r-8)
-6r+48
Step-by-step explanation:
Ryan has 8 kittens. Two are white. Julie has 4 kittens. The fraction of kittens that are not white is the same for Ryan and Julie. What fraction of Julie's kittens are not white? Write in simplest form.
Answer:
1/4 are white. So, 3/4.
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
y = x –
y = x +
y = x –
y = x +
Answer:
Step-by-step explanation:
All of the answer choices are in slope-intercept form.
The slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Answer:
B
Step-by-step explanation:
For which scatterplot is the correlation strongest?
Answer:
B
Step-by-step explanation:
edge
The scatterplot that has a stronger correlation is B.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The correlation coefficient helps us to know how strong is the relation between two variables.
The value is always between +1 to -1, where, the numerical value shows how strong the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.
-1 indicates a strong negative relationship.
A result of zero indicates no relationship at all, therefore, an independent variable.
Since the scatterplot is the relationship between the two variables and as in the first graph the value of a single x can return multiple values for y.
Therefore, the scatterplot that has a stronger correlation is B.
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Using the diagram, find the value of x.
14x+4
◀----▶-▶--------------▶
A. -8
B. -7
C. 9
D. 11
Answer:
c are the correct answer
What is 10 to the power of 10
Solve. 4(a + 2) = 8 + 4a
−2
all real numbers
no solution
−1
Answer:
No solution
Step-by-step explanation:
4(a+2)=8+4a-2
4a+8=8+4a-2
0+8=8-2
0= -2
no solution
Answer:
no solution
Step-by-step explanation:
Given
4(a + 2) = 8 + 4a - 2 ← distribute left side
4a + 8 = 6 + 4a ( subtract 8 from both sides )
4a = - 2 + 4a ( subtract 4a from both sides )
0 = - 2 ← not possible
This indicates the equation has no solution
what is the process of changing a mixed fraction into an improper fraction, like 4 1/3 into 13/3 ?
Answer:
multiply the whole number by the denominator, then add the number you get to the numerator. :) hope this was helpful!!!
Step-by-step explanation:
Answer: You have to multiply the Main number by the denominator, then add the numerator to that number, and put it above the original denominator.
Step-by-step explanation:
Evaluate If
a = 3 and c= 6:
(a + c2 - 1) - a3 + 7 =
Answer:
the answer is 12
Step-by-step explanation:
[tex] = (3 + 2(6) - 1) - 3(3) + 7 \\ = (14) - 9 + 7 \\ = 14 - 2 \\ = 12[/tex]
Find the measure of (Full question above)
Answer:
∠RUS = 90°
Step-by-step explanation:
PT is a line. This means that it has a measure of 180°
This means that all of the angles that it is broken up into must add together to equal 180°.
In this case, ∠PUQ +∠QUR +∠RUS +∠SUT = 180°
As we have the measures for all of the angles aside from ∠RUS, we can solve for that
First, let us input each of the measures of the angles
39+23+∠RUS+28=180
Now all we need to do is isolate ∠RUS by subtracting everything to the other side
Once that is done, we get
∠RUS = 90°
Answer:
[tex]\large\boxed{m\angle RUS=90^o}[/tex]
Step-by-step explanation:
[tex]m\angle PUT=m\angle PUQ+m\angle QUR+m\angle RUS+m\angle SUT\\\\\text{We have:}\\\\m\angle PUT=180^o,\ m\angle PUQ=39^o,\ m\angle QUR=23^o,\ m\angle SUT=28^o\\\\\text{Substitute:}\\\\180^o=39^o+23^o+m\angle RUS+28^o\\\\180^o=90^o+m\angle RUS\qquad\text{subtract}\ 90^o\ \text{from both sides}\\\\90^o=m\angle RUS[/tex]
Frederick buys a can of three tennis balls. The empty can weighs 20 grams, and each tennis ball weighs 60 grams. What is the total weight of the can with 3 tennis balls
The total weight of the can with tennis balls is 200 grams
Step-by-step explanation:
Let b be the weight of one ball
and
c be the weight of can
Then
c = 20 grams
b = 60 grams
The weight of three balls will be:
[tex]3b\\=3*60\\=180\ grams[/tex]
Hence,
The total weight will be:
[tex]c+ 3b\\= 20+180\\= 200\ grams[/tex]
So,
The total weight of the can with tennis balls is 200 grams
Keywords: Measurement, weights
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Answer:
200
Step-by-step explanation:
If you arrange the like terms in the same columns, you can perform addition of polynomials in ”column” form. Find the following sums:
Answer: im going to solve it in one second
Step-by-step explanation:
Note: Remember to show all the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Harry rides his bike 25 Start Fraction 3 over 8 End Fraction miles. Karen rides her bike 25two-fifths miles. Who rides farther?
PLEASE HELP! I WILL MARK BRAINLIEST. 15 POINTS
Answer:
Harry rides further.
Step-by-step explanation:
First, you have to find the least common denominator of 8 and 5, which is 40.
3*5=15, 2*8=12
Hope this helps!!!
Karen rides farther.
What is comparison?Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.
Given that, Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles, we are asked to find who rides farther,
Harry's distance = 25 3/8 = 203/8
Karen's distance = 25 2/5 = 127/5
Subtracting Harry's distance by Karen's distance,
203/8 - 127/5
= 1015-1016/40
= -1/40
Since, the result is in minus that means 127/5 is greater than 203/8.
Therefore, Karen's covers more distance than Harry.
Hence, Karen rides farther.
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Bryce can afford a $350-per-month car payment. If he is being offered a 6-
year car loan with an APR of 4.2%, compounded monthly, what is the value of
the most expensive car he can afford?
O
A. $25,196.78
B. $22,241.32
O
c. $25,167.83
O D. $24,880.83
Answer: $22,241.32 APEX
Final answer:
By calculating the present value of an annuity using the monthly payment, interest rate, and number of payments, we find that Bryce can afford a car with a value of approximately $22,241.32.
Explanation:
To calculate the value of the most expensive car Bryce can afford based on a $350-per-month car payment with a 6-year loan at an APR of 4.2%, compounded monthly, we use the formula for the present value of an annuity:
PV = PMT × ¶ [(1 - (1 + r)^-nt) / r]
Where:
PV = Present Value (what we're solving for, the cost of the car)
PMT = Monthly Payment ($350)
r = monthly interest rate (APR divided by 12)
n = number of times the payment is made per year (12)
t = number of years (6)
Given:
APR = 4.2% per year or 0.042
Monthly interest rate, r = 0.042 / 12 = 0.0035
nt = 12 × 6 = 72 payments in total
Now we substitute the given values into the formula:
PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]
PV = $350 × [(1 - (1 + 0.0035)^-72) / 0.0035]
PV ≈ $350 × [(1 - (1.0035)^-72) / 0.0035]
Using a calculator to find (1.0035)^-72 and then the whole expression, we get:
PV ≈ $350 × 60.4774
PV ≈ $21,167.09
The value that's closest to our calculation and offered in the options is $22,241.32, so the most expensive car Bryce can afford is approximately $22,241.32.
If the volume of a cube is 729 cm3, what is the surface area of the cube?
A) 462 cm2
B) 474 cm2
C) 486 cm2
D) 494cm2
Answer:
Step-by-step explanation:
The answer is C because V = s3 → 729 = s3 → 9 = s
Therefore, SA = 6s2 = 6(9)2 = 486 cm2
[tex] - 5x + 3y = 51 \\ y = 10x - 8[/tex]
Answer:
-5x + 3(10x - 8)= 51
-5x + 30x - 24 = 51
25x - 24 = 51
25x = 75
x = 3
y = 10(3) - 8
y = 30 - 8
y = 22
(3, 22)
What is 5/2 - blank = 1/3
Step-by-step explanation:
taking that blank as x
5/2 -x = 1/3
the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3
so the equation will become 5/2-1/3=x
solving the fraction then gives 13/6 or 2.17 as the value of x
The value of the equation is x = 13 / 6
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
Let the unknown number be represented as x
Substituting the values in the equation , we get
( 5/2 ) - x = 1/3 be equation (1)
Adding x on both sides of the equation , we get
( 5/2 ) = ( 1/3 ) + x
Subtracting ( 1/3 ) on both sides of the equation , we get
x = ( 5/2 ) - ( 1/3 )
On simplifying the equation , we get
x = ( 15 - 2 ) / 6
x = 13 / 6
Therefore , the value of x is 13/6
Hence , the equation is x = 13/6
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Mike invested a total of $25,000, some money in stocks and some money in bonds. The stocks earned 7% simple interest while the bonds earned 11% simple interest. Mike earned $2010 interest on his investments. How much money did he invest in bonds?
He invested $6500 in bonds
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
P is the invested amountr is the rate of interest in decimalt is the time of investmentAssume that Mike invested $x in stocks and $y in bonds
∵ Mike invested $x in stocks
∵ Mike invested $y in bonds
∵ Mike invested a total of $25,000
∴ x + y = 25000 ⇒ (1)
∵ The interest rate of the stocks is 7%
∴ r of the stocks = 7 ÷ 100 = 0.07
∴ I (stocks) = x(0.07)(1)
∴ I (stocks) = 0.07x
∵ The interest rate of the bonds is 11%
∴ r of the bonds = 11 ÷ 100 = 0.11
∴ I (bonds) = y(0.11)(1)
∴ I (bonds) = 0.11y
∵ Mike earned $2010 interest on his investments
- Equate the sum of I (stocks) and I (bonds) by 2010
∴ 0.07x + 0.11y = 2010 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -0.11 to eliminate y
∵ -0.11x - 0.11y = -2750 ⇒ (3)
- Add equations (2) and (3)
∴ -0.04x = -740
- Divide both sides by -0.04
∴ x = 18500
- Substitute the value of x in equation (1) to find y
∵ 18500 + y = 25000
- Subtract 18500 from both sides
∴ y = 6500
∵ y represents the amount of money he invested in bonds
∴ He invested $6500 in bonds
He invested $6500 in bonds
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(5x)+ (9y)+90 what is x and y
Answer:
Step-by-step explanation:
5x+9y+90
This is just an algebraic expression.
Marcus has a part-time job at the water park. He makes between $77.26 and $83.67 a day. Which is a reasonable amount of money that Marcus makes for working 5 days a week for 10 weeks? A. $4,202 B. $4,213 C. $4,001 D. $3,843
Answer:
c
Step-by-step explanation:
Solve 2 1/4 - 1 2/5=?
Answer:
17/20
Step-by-step explanation:
2 1/4=9/4
1 2/5=7/5
--------------
9/4-7/5
45/20-28/20
17/20
What is the value of 5(x+2)−4(x+1) when x=1.5
Answer:
7.5
Step-by-step explanation:
5(x+2)-4(x+1)
5x+10-4x-4
5x-4x+10-4
x+6
1.5+6=7.5
Answer:
7.5
Step-by-step explanation:
Substitute 1.5 into the equation
5(1.5+2) − 4(1.5+1)
5(3.5) − 4(2.5)
17.5 - 10 = 7.5