Mimi is four years older than Ronald.Five years ago she was twice as old ashe was. Find their ages now. help please
Answers
m = Mimi's age
r = Ronald's age.
m = r + 4 (1)
(m - 5) = 2(r - 5)
m - 5 = 2r - 10
m = 2r - 5 (2)
Equaling 1 and 2
r + 4 = 2r - 5
r = 9 (That's Ronald's age)
Now we replace r = 9 in (1)
m = 9 + 4 = 13 (That's Mimi's age)
Related Questions
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
Answers
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
Know more about volumes,
https://brainly.com/question/17101095
#SPJ1
on sunday, alicia worked at an ice cream stand for 6 hours and earned $43, of which $19 were tips. on sunday she worked the same number of hours and received $22 in tips. what were alicia's total earnings on sunday?
Answers
Answer:
$46
Step-by-step explanation:
She made $24 on the first Sunday without adding the tips
$43-$19 (tips) = $24
Sunday 2:
$24+$22 (new number of tips)
Choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 + 8x – 3 y = x2 + 8x + 8 – 3 – 8 y = x2 + 8x + 8 – 3 + 8 y = x2 + 8x + 16 – 3 – 16 y = x2 + 8x + 16 – 3 + 16
Answers
Answer:
Step-by-step explanation:
The correct equation that shows a step in the process of completing the square on the given quadratic y = x^2 + 8x – 3 is y = x^2 + 8x + 16 – 3 – 16. Completing the square involves adding and subtracting a constant term in order to create a perfect square trinomial. In this case, the constant term added is (8/2)^2 = 16, which is half the coefficient of the x-term squared. This step transforms the quadratic into the form (x + a)^2 + b, where a represents half of the x-term coefficient and b represents the constant term.
By adding 16 to the equation to create a perfect square trinomial, we need to subtract 16 afterward to maintain the equation’s balance. Thus, the equation becomes:
y = x^2 + 8x + 16 - 3 - 16
Simplifying further:
y = (x + 4)^2 - 19
Therefore, the correct equation is:
y = (x + 4)^2 - 19
HOW CAN I STUDY MATH EXAM
Answers
Answer:
Step-by-step explanation:
1. Start by arranging and organizing things.
2. Make sure to turn of your phone so you don't get distracted.
3. Try to understand what is the question.
4. If you don't understand then, ask a elder or search it up.
5. Give yourself breaks.
6. Try to study more than 2 hours.
To do that you need to understand and remember the formula by quizzing yourself with activities online or in your text book, this will make your revision more efficient. You should also try redoing your test without looking at the answers, who knows! Your teacher might add some questions in one of your tests into your exam paper.
You need to revise for at least 7 hours every day if it works for you, remember to take break's for at least 30- 40 minutes and because your brain needs a break. Drink plenty of water so your brain is fresh and your mind is clear.
Hope it helps :)
True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
Answers
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
Learn more about Two-Column Proof here:https://brainly.com/question/17343417
#SPJ2
PLEASE HELP!!!!!!!!!
Answers
According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.
How to create the scale drawing?To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.
Real-life dimensions:
Length: 50mWidth: 90mConverting to centimeters:
Length: 50m * 100cm/m = 5000cmWidth: 90m * 100cm/m = 9000cmApplying the scale of 1:2000:
Length on the drawing: 5000cm / 2000 = 2.5cmWidth on the drawing: 9000cm / 2000 = 4.5cmAccording to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.
Learn more about scale drawing in: https://brainly.com/question/30771513
#SPJ1
For what value(s) of a and b will the function below have a point discontinuities at x= -3 and x= 2
Answers
Answer:
The value(s) of a and b for which the function f(x) have a point discontinuities at x= -3 and x= 2 is;
\(\begin{gathered} a=\frac{6}{5} \\ b=\frac{1}{5} \end{gathered}\)Explanation:
The point discontinuities for the function f(x) for x= -3 is the value of a and b for which;
\(2x+3=ax+3b\)substitute x=-3, we have;
\(\begin{gathered} 2(-3)+3=a(-3)+3b \\ -6+3=-3a+3b \\ -3=-3a+3b \\ \text{divide through by 3} \\ -1=-a+b \\ -a+b=-1\ldots\ldots\ldots.i \end{gathered}\)The point discontinuities for the function f(x) for x= 2 is the value of a and b for which;
\(ax+3b=\frac{-1}{2}x^2+3x-1\)substituting x=2, we have;
\(\begin{gathered} ax+3b=\frac{-1}{2}x^2+3x-1 \\ a(2)+3b=\frac{-1}{2}(2)^2+3(2)-1 \\ 2a+3b=-2+6-1 \\ 2a+3b=3\ldots\ldots\ldots\text{ }ii \end{gathered}\)So, we need to solve the simultaneous equation i and ii to get the value of a and b;
\(\begin{gathered} -a+b=-1\ldots\ldots\ldots.i \\ 2a+3b=3\ldots\ldots\ldots\text{ }ii \end{gathered}\)from equation i;
\(b=-1+a\)substituting that into equation ii;
\(\begin{gathered} 2a+3(-1+a)=3 \\ 2a-3+3a=3 \\ 5a-3=3 \\ 5a=3+3 \\ 5a=6 \\ a=\frac{6}{5} \end{gathered}\)substitute the value of a to get b;
\(\begin{gathered} b=-1+a \\ b=-1+(\frac{6}{5}) \\ b=\frac{1}{5} \end{gathered}\)Therefore, the value(s) of a and b for which the function f(x) have a point discontinuities at x= -3 and x= 2 is;
\(\begin{gathered} a=\frac{6}{5} \\ b=\frac{1}{5} \end{gathered}\)which fraction is the biggest?
\( \frac{2}{3} \)
\( \frac{4}{5} \)
\( \frac{7}{8} \)
Answers
Select the correct answer.Using long division, what is the quotient of this expression?x4 + 4x3 – 5x2 + x - 3/ x2 + x -3
Answers
we have that
(x^4 + 4x^3 – 5x^2 + x - 3)/ (x^2 + x -3)
x^2+3x-5
-x^4-x^3+3x^2
---------------------------------
3x^3-2x^2+x -3
-3x^3-3x^2+9x
-----------------------
-5x^2+10x -3
5x^2+5x -15
--------------------
15x-18
therefore
(x^4 + 4x^3 – 5x^2 + x - 3)=(x^2 + x -3)(x^2+3x-5)+(15x-18)
Write these fractions as percentage 2/3
Answers
Therefore 2/3 is 66.6%
Answer: 66%
Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.
hope this helps!
please give brainliest!
f(x) = 2x² + 1 and g(x) = x² − 7, find (ƒ— g)(x).
Answers
Answer:
(f-g)(x) is equivalent to f(x) - g(x)
So that would be (2x²-5) - (x²-4x-8) = 2x² - x² + 4x + 8 - 5 = x² + 4x + 3
Hope this helps.
Step-by-step explanation:
On 1/31/Y1, Bailey Company leased a new machine from Sussex Corp. The following data relate to the lease transaction at its inception:
Lease term 10 years
Annual rental payable at beginning of each lease year $50,000
Useful life of machine 15 years
Implicit interest rate 10%
Present value of an annuity of 1 in advance for 10 periods at 10% 6.76
Present value of annuity of 1 in arrears for 10 periods at 10% 6.15
Fair value of the machine $400,000
The lease has no renewal option, the possession of the machine reverts to Sussex when the lease terminates, and the machine does have alternative uses. The first lease payment of $50,000 is paid at the inception of the lease. What is the amount of the first year's lease expense attributable to the interest component?
A. $0. It is an operating lease so there is no interest component.
B. $33,800
C. $25,750
D. $28,800
Answers
Answer:
the answer is 4
Step-by-step explanation:
the answer is 4
Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.
Answers
Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848Start time: 2:00pm Elapsed time:____ End time: 8:30pm
Answers
Subtract 2 hours from 8:30 and it will give you your answer :)
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answers
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
Any help would definitely be appreciated. Thank you
Answers
Answer:
your answer will be 113.3 yard
Step-by-step explanation:
hope it helps you
have a good day
2y-11=25 solve the equation
Answers
Answer:
18
Step-by-step explanation:
25 + 11 = 36
36/2 = 18
hope this helps
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,
how many bacteria was there at 10 hours? Round to the nearest whole number,
Answers
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:
\(P(t) = P(0)(1-r)^t\)
In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that \(P(0) = 200000\) and that when \(t = 18, P(t) = 900\). So we use this to find r.
\(P(t) = P(0)(1-r)^t\)
\(900 = 200000(1-r)^{18}\)
\((1-r)^{18} = \frac{900}{200000}\)
\(\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}\)
\(1 - r = (\frac{900}{200000})^{\frac{1}{18}}\)
\(1 - r = 0.7407\)
So
\(P(t) = P(0)(1-r)^t\)
\(P(t) = 200000(0.7407)^t\)
At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So
\(P(10) = 200000(0.7407)^{10} = 9941.5\)
Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.
A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?
Answers
Answer: 1672
explanation: add 3% from each previous year to get to the 6th year
Answer:
16717
Step-by-step explanation:
A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than 5% defective items, it needs repair. A random sample of 300 items taken from the production line contained 27 defective items. Test at the 1% significance level if the percentage of defective items produced by this machine is greater than 5%.
Answers
Answer:
The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.
Step-by-step explanation:
A machine, when working properly, produces 5% or less defective items.
This means that the null hypothesis is:
\(H_0: p \leq 0.05\)
Test if the percentage of defective items produced by this machine is greater than 5%.
This means that the alternate hypothesis is:
\(H_a: p > 0.05\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that \(\mu = 0.05, \sigma = \sqrt{0.05*0.95}\)
A random sample of 300 items taken from the production line contained 27 defective items.
This means that \(n = 300, X = \frac{27}{300} = 0.09\)
Value of the test statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}\)
\(z = 3.18\)
Pvalue of the test:
Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.
Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993
1 - 0.9993 = 0.0007
The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.
4j + 4j − 6j − j = 12
Solve for J
Answers
Answer:
j =12 you have to combine like terms which is all and then it will give u 12
what is the answer to -17 = 6m - 4 + 7m ?
Answers
Answer:
====LEARN WITH REY====Hi sis, try to help yaStep-by-step explanation:
= -17 = 6m - 4 + 7m
= 6m - 7m = 17 + 4
= 1m = 21
= m = 21 : 1
= m = 21
========================#Study with brainly #Learn with reyhow many solutions are there to the system of equations graphed below of the lines are parallel
Answers
Answer:
A. Zero
Step-by-step explanation:
In this example, the two lines are parallel. Henceforth, they will never intersect each other. For the system of equations to have any solutions, they would need to intersect.
Which statement is not one of the axioms of Euclidean geometry?
A. If two points lie in space, there is only one line that can pass through them.
B. If three points lie on the same line, there is only one plane that can pass through them.
C. If two points lie on a plane, the line containing them also lies on the plane.
D. If two planes intersect, their intersection is a line.
Answers
Answer:
B. if three points lie on the same line there is only one plane that can pass through them.
Step-by-step explanation:
What is 3 over 5 plus 3 over 25
Answers
Answer: 18/25 or 0.72
Step-by-step explanation:
1. Write all numerators above the least common denominator 25
(15 + 3 / 25)
2. Add the numbers
( 18 / 25 )
3. Solution is 18/25 or 0.72
Find the mean of the following scores.
50, 66, 68, 50, 58, 98, 66, 78.
=
Answers
50 + 66 + 68 + 50 + 58 + 98 + 66 +78 = 534
534/8 = 66.75
A Pair of shoes you want is on sale for one-third off the original price. If the original price is $24 , what is the sale price?
guys please help me I AM not smart when it comes to percentages ~-~
Answers
Answer:
$16 is the sale price
Step-by-step explanation:
"one-third off the original price" can be expressed in numbers as:
($24 - (1/3)*$24)
(24 - 8)
$16 is the sale price
Please answer this It would mean alot to me.
Answers
The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expressions are expressions that have similar value or worth but do not look the same.
Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).
Let's factorise to know whether the expressions are equivalent.
Therefore, using the common factors,
8x + 4y = 4(2x + y)
Hence, the expression are not equivalent .
learn more on equivalent expression here: https://brainly.com/question/28170201
#SPJ1
Please help me!!!! Thank you so much!!!!
Answers
Answer:
84
Step-by-step explanation:
2/12 = 14/x
Reduce the left fraction.
1/6 = 14/x
Cross multiply.
1 × x = 6 × 14
x = 84
Answer:
The answer is 84 because 2 times 6 is 12 and 14 times 6 is 84.
Step-by-step explanation:
if a person walks 3/4 of a mile in each 2/3 hour how far does he walk in one hour
Answers
Answer:
I believe it's 9/8 miles per hour
Step-by-step explanation:
v = d/t = (3/4 mile)/(2/3 hour) = (3/4)/(2/3) miles per hour = (3/4)(3/2) miles per hour = 9/8