Step-by-step explanation:
X coordinate: from 19 to -10 is - 29 units 1/2 of this is -14.5 added
to 19 = 4.5
Y coordinate: from -17 to 4 is + 21 units 1/2 of this added to -17 is -6.5
(4.5, - 6.5)
Lucinda Lopez earns a 3 percent commission on all sales. She also receives a $500 bonus if her commission exceeds $2,000. Her total sales were $75,500. What was her total pay?
Answer:
total pay $2,750.00
Step-by-step explanation:
first multiply. 03×75,000= $2250.00 (thats how mich commission she has made
then add 500 be she exceeded the 2000 amount
2250+500= $2,750.00
2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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The freshman treasury has 30 ten-and twenty-dollar bills That have a total value of $430 dollars. How many of each bill do they have??(Thirty bills in ten and twenty dollar bills)
Let be "t" the number of ten-dollar bills they have and "w" the number of twenty-dollar bills they have.
Using the information given in the exercise, you can set up the following System of Equations:
\(\begin{cases}10t+20w=430 \\ t=30-w\end{cases}\)To solve the System of Equations, you can apply the Substitution Method:
1. Substitute the second equation into the first one:
\(10(30-w)+20w=430\)2. Solve for "w":
\(\begin{gathered} 300-10w+20w=430 \\ 10w=430-300 \\ \\ w=\frac{130}{10} \\ \\ w=13 \end{gathered}\)3. Substitute the value of "w" into the second original equation:
\(t=30-(13)\)4. Finally, evaluating, you get:
\(t=17\)Therefore, the answer is: They have 17 bills of $10 and 13 bills of $20.
Find the value of x and y. Not drawn to scale
Using the definitions for the types of triangles in the image, we can see that the interior angles are:
x = 37°
y = 14°
How to find the value of x and y?First, on the right side we can see an equilateral triangle, then all its interior angles are of 60°.
Amd the triangle in the left side is isoceles, then the angle in the right side has the same measure than x, and now with that we can write the equation:
x + 83° + 60° = 180°
Solving for x, we will get:
x = 180° - 83° - 60°
x = 37°
Now let's find the value of y, we cansee that the triangle in the middle is also isoceles, and remember that for any triangle the sum of the interior angles must be 180°, so here we can write:
83° + 83° + y = 180°
y = 180° - 2*83°
y = 14°
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Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)
a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.
b
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5 -pound portions.
c
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5 -pound portions.
d
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.
Answer:
C.
Step-by-step explanation:
He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.
7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions
via. google
Hope this helps dude
Tom can get 2 and 3 over 16 (\(2\frac{3}{16}\)) pounds of honey if he divides 7 over 8 (\(\frac{7}{8}\)) pound of honey into 2 over 5 (\(\frac{2}{5}\)) pound portions: Option C.
Given the following data:
Quantity of honey = \(\frac{7}{8} \;pound\)To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:
Translating the word sentence into an algebraic expression, we have;
7 over 8 divided by 2 over 5:
\(\frac{7}{8}\; \div \; \frac{2}{5}\)
Applying the basic law of division for fractions, we have:
\(Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}\)
Simplifying further, we have:
\(Quotient =\frac{35}{16} = 2\frac{3}{16}\)
Therefore, Tom can get 2 and 3 over 16 (\(2\frac{3}{16}\)) pounds of honey if he divides 7 over 8 (\(\frac{7}{8}\)) pound of honey into 2 over 5 (\(\frac{2}{5}\)) pound portions.
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Ana spends K8.00 per week. How much will she spend for 21 days?
Ana will spend K23.94 for 21 days.
To calculate how much Ana will spend for 21 days, we need to determine the cost per day and then multiply it by the total number of days.
Since Ana spends K8.00 per week, we can find the daily cost by dividing the weekly cost by the number of days in a week.
Cost per day = K8.00 / 7 days = K1.14 (rounded to two decimal places)
Now, we can calculate how much Ana will spend for 21 days by multiplying the cost per day by the total number of days.
Total spending = K1.14 * 21 days = K23.94
Therefore, Ana will spend approximately K23.94 for 21 days.
It's important to note that we rounded the cost per day to two decimal places. In real-life scenarios, Ana may have to pay the nearest whole currency amount per day. Therefore, the actual total spending might differ slightly depending on the rounding or any variations in the daily cost.
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2.1.2 Linear Tables and Graphs (Algebra 1)
The question is on the image below
Answer:
Step-by-step explanation:
1). Let the equation of a line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
From the graph attached,
Slope = \(\frac{\text{Rise}}{\text{Run}}\) = \(\frac{1}{4}\)
y-intercept = -2
Equation → y = \(\frac{1}{4}x-2\)
2). Slope of the line = \(\frac{\text{Rise}}{\text{Run}}=\frac{3}{4}\)
y-intercept 'b' = -3
Equation → y = \(\frac{3}{4}x-4\)
3). Slope of the line = \(\frac{\text{Rise}}{\text{Run}}=\frac{-5}{0.75}\)
= \(-\frac{20}{3}\)
y-intercept = 5
Equation → y = \(-\frac{20}{3}+5\)
4). Slope of the line = \(\frac{\text{Rise}}{\text{Run}}=\frac{-2}{4}=-\frac{1}{2}\)
y-intercept = 4
Equation → y = \(-\frac{1}{2}x+4\)
5). Since, line is passing through origin (0, 0)
y-intercept = 0
Slope = \(\frac{\text{Rise}}{\text{Run}}=\frac{1}{1}\)
Equation → y = x
6). Slope of the line = \(\frac{\text{Rise}}{\text{Run}}=\frac{1}{4}\)
y-intercept = -4
Equation → y = \(\frac{1}{4}x-4\)
I’ll mark brainliest
Answer:
2
Step-by-step explanation:
PLEASE HELP!! (only answer if you know)
Translate the sentence into an inequality. Five increased by the product of a number and 9 is greater than −22.
Answer:9x + 5 > -22
Step-by-step explanation:
The product of a number and 9 means multiplication. You can use x for the variable of the unknown number. Multiplication comes before addition (from PEMDAS, parenthesis, exponents, multiplication, division, addition, subtraction) so multiply 9 and x before adding 5.
> is the sign for greater than, and the equality is greater than -22.
By solving the inequality you get x would be any number greater than -3
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Answer:
18 miles / hour
A recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe bya factor of 4 how many cups of flower does the chef need
The number of cups needed by the chef is 9 1/3 cups.
How to calculate the fraction?A fraction simply means a part of a whole number.
In this case, the recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe by a factor of 4.
The cups needed will be:
= 2 1/3 × 4
= 7/3 × 4
= 28/3
= 9 1/3 cups.
This illustrates the concept of fractions.
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The area of a triangular sign is 6x² + 24x What is the measure of the base? (View attachment)
Answer:
\(2x + 8\)
Step-by-step explanation:
Area of triangle equal
\( \frac{b \times h}{2} = a\)
where b is the base and h is the height.
Plug in what we know.
\( \frac{b \times 6x}{2} = 6 {x}^{2} + 24x\)
Multiply 2 by both sides.
\(b \times 6x = 2(6 {x}^{2} + 24x)\)
Divide 6x by both sides.
\(b = \frac{12 {x}^{2} + 48x }{6x} = 2x + 8\)
Find the perimeter for a rectangle that has an area of 2x^2+6x-8 and length of 2x-2. (Hint: First find the length)
a, b, and c are positive real numbers;
a×b= 5742×6368
a×c= 5748×6362
c×b= 5738×6372
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And please clarify your answers in a simple language
Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.
By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.
Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.
In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.
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1,547.1892 rounded to the nearest hundredth
Answer:
I, 550
Step-by-step explanation:
Is the nearest hundredth
Please help me with this question.
The expected number of offspring, given the probabilities of offspring is 1. 64 offspring.
How to find the expected number of offspring ?To find the expected number of offspring to the healthy adult female, look at the probability of an offspring and the number of offspring.
Multiply these probabilities with the offspring and then sum up the quotients.
The expected number of offspring is therefore:
= ( 0 x 30 %) + ( 1 x 0.22 ) + ( 2 x 0.17 ) + ( 3 x 0. 16 ) + ( 4 x 0.15)
= 1. 64 offspring
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4. United Bank offers a 15-year mortgage at an APR of 4.2%. Capitol Bank offers
a 25-year mortgage at an APR of 4.5%. Marcy wants to borrow $120,000.
a. What would the monthly payment be from United Bank?
b. What would the total interest be from United Bank? Round to the nearest
ten dollars.
c. What would the monthly payment be from Capitol Bank?
d. What would the total interest be from Capitol-Bank? Round to the nearest
ten dollars.
e. Which bank has the lower total interest, and by how much?
f. What is the difference in the monthly payments?
uw.nadin
g. How many years of payments do you avoid if you decide to take out the
shorter mortgage?
Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.
What is total interest?
Total interest is determined by the addition of all the interest payments.
what would be the monthly payment and total interest from each bank?
United bank offers mortgage at an APR of 4.2%
APR means annual percentage rate.
mortgage is offered for the period of 15 years.
initial principal amount of Marcy = $120000
we need to determine the monthly payment from United bank.
at first, we will determine the rate of interest per month.
monthly interest rate = (4.2) / (100 × 12) = 0.0035
1 year = 12 months
15 years = 15×12 = 180 months
monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal
monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000
= $1207.70
from united bank monthly payment = $1207.70
Now we calculate the monthly payment from Capitol bank.
APR for capitol bank = 4.5%
number of years for which mortgage is issued = 25 years
number of months = 12×25 = 300.
monthly interest rate = (4.5) / (100×12) = 0.00375
monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000
= 1834.62
monthly payment from Capitol bank = $1834.62
total interest from Capitol bank = principal money × yearly interest rate × time period.
Total interest = 120000 × 4.5/100× 25
= $135000 for the Capitol bank
Total interest from United bank = principal amount × yearly interest × time period
= 120000× 4.2/100 × 15
total interest from united bank = $75600
United bank has lower total interest.
difference in monthly payment = 1834.62 - 1207.70
= 626.92 dollars
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Solve the equation by factoring.
x2 – 3x – 28 = 0
A {-1, 2}
B-2, -1}
C{-4, 7}
D {-1}
Answer:
C {-4, 7}
Step-by-step explanation:
x2 – 3x – 28 = 0
(x+4)(x-7)=0
(x-7)=0 or (x+4)=0
x=7 or x=-4
what is an equivalent expression to m+m+m+m that is a sum of two terms. PLEASE HELP ME FAST!!!!!!!
Answer:
2(m+m)
or
2m+2m
or
3m+m
or
4m+m-m
Write the equation of the circle with the given center and point on the circle.
The center is (3, 2). A point on the circle is (5, 2)?
Answer:
(x -3)² +(Y -2)² = 4
Step-by-step explanation:
You want the equation of a circle centered at (3, 2) containing point (5, 2).
RadiusThe two given points lie on the horizontal line y=2. The distance between them is the difference of their x-coordinates: 5 -3 = 2. This is the radius of the circle.
EquationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
For (h, k) = (3, 2) and r = 2, the equation is ...
(x -3)² +(y -2)² = 4
A rectangular vegetable patch is 5 meters long and 4 meters wide. what is the area?
Answer:
20
Step-by-step explanation:
Area of a rectangle = l*w
5*4 = 20
Determine a series of transformations that would map Figure P onto Figure Q.
Answer: Rotate 280 degrees
Step-by-step explanation:
Each 90 degree rotation makes the figure go into the next quadrant of the graph. So, going clockwise, you have to move the figure three quadrants to get Figure P to the position of Figure Q. Thus, 3 x 90 = 280 degrees. There is only one transformation required.
five less than the sum of x and y
Answer: x+y>5 or (x+y)-5
Step-by-step explanation:
There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.
Inequality
By using an inequality, we would use the less than sign because 5 is less than the sum of x and y.
5<x+y
We can also write it where the variables are on the left side, which is usually preferred.
x+y>5
-------------------------------------------------------------------------------------------------------------
Expression
For an expression, we would basically write an equation, but without the equals sign.
(x+y)-5
Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.
In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48
The length of BD is 22.
In the given scenario, let's consider the following information.
AD = 8
AE = 6
EC is 12 more than BD.
To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.
From the given information, we know that AD = 8 and AE = 6.
Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.
First, let's find the intercepted arc corresponding to AD:
Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16
Similarly, we can find the intercepted arc corresponding to AE:
Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12
Now, we know that EC is 12 more than BD.
Let's assume the length of BD as x.
BD + 12 = EC
Now, let's consider the intercepted arcs theorem:
Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C
16 - 12 = Angle B - Angle C
4 = Angle B - Angle C.
Since Angle B and Angle C are vertical angles, they are congruent:
Angle B = Angle C.
Therefore, we can say:
4 = Angle B - Angle B
4 = 0
However, we have reached an inconsistency here.
The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.
As a result, we cannot determine the length of BD based on the given information.
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One student solved the inequality -4 > x/-7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.
Answer: solutions are the same, just written differently, inequality sign is reversed when multiplying. Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently.
Step-by-step explanation: Happy to Help. Brainliest Please
4c-2d÷c elvauate for c= 2 and d=5. Enter your numerical number
In the figure below, m ll n and p ll q. Find the values of y and z. 2 (+-57).
Given:
m is parallel to n and p is parallel to q.
The objective is to find the value of y and z.
Since
is 37 a prime or compiste
Answer: prime
Step-by-step explanation:
Which of the following is an example of a census?
a) Survey parents whose children attend a local elementary school by randomly selecting 50 parents from the school’s records.
b) The U.S. Population Census
c) Poll students at a college by including a pop-up window in the online registration form. Students have to answer the survey questions before they can register. Try to catch the remaining students at the admissions window when they register in person. d) Weigh every child at an elementary school for a study of physical fitness at the school.
Answer:
B
Step-by-step explanation:
because its something thats important and needs to be done
The U.S. Population Census is an example of a census
Census means the procedure of counting, calculating and recording the number and information about the members of the nation's.
Generally, population census are conducted every 10 years although some nations conduct their's every 5 years.
The primary objective of population census is to know the total size of the population of a country.
Population census also enable the government to appropriate resources fairly based on the number of people in a geographical area.
In conclusion, the U.S. population census is the only example of census.
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