Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more did he run in February than in January?
Answer:he ran 23 miles / XXIII miles more in February than March
Step-by-step explanation:
February = He ran XLVII --- converting to numbers becomes
XL= 40
VII= 7
XLVII= 47
In march he ran XXIV--- converting to numbers becomes
XX= 20
IV= 4
XXIV= 24
Step 2
To find how many more he ran in February than March
Miles ran in February - Miles ran in March
47- 24=23.
Therefore he ran 23 miles / XXIII miles more in February than March
Answer:
pretty much answer c
Step-by-step explanation:
Pleaseeee helppppp meeeeee
Answer:
the answer is (1)
Step-by-step explanation:
k = am +3mx
i) factorize out m from the expressionk = m(a+3x)
ii) rearrange the equation using commutative propertym(a+3x) = k
iii) divide both sides of the equation by (a+3x)[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]
[tex]m = \frac{k }{a + 3x} [/tex]
The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?
Answer:
6.4294 years
Step-by-step explanation:
45.1 million in 2009 -- 2.3% each year
In what year will the population exceed 52.2 million?
We use exponential growth formula
ξ(t) = y = ab^t
a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2
52.2/45.1 = (1.023)^t
We take log both side
Log(1.15742794) = tlog(1.023)
0.0634939619 = t0.00987563371
t = 0.0634939619/0.00987563371
t = 6.429355701569454
t = 6.4294 years
Which of the graphs below represents the solution set for d - 4 > -3?
Answer: C
Step-by-step explanation:
what is 8029 times 89810
Answer:
721084490
Step-by-step explanation:
Simplify this expression. Show your work. (7x - 5) - (3x - 2)
Answer:
4x-3
Step-by-step explanation:
(7x-5) - (3x-2)
aka
(7x-5) -1 (3x-2)
first distribute the -1 into (3x-2)
-3x+2
so
(7x-5)+ -3x+2
next combine like terms
7x-3x=4x
so
4x-5+2
then
-5+2=-3
so
4x-3 would be your simplified equation
Find the degree of the polynomial -m^6-10m^3
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.Solve for the unknown variable
Answer:
Step-by-step explanation:
ayo
Which of the following sunds does not result in an answer of -5?
1. (-7) + (+2)
2. (-11) + (+6)
3. (-9) - (-4)
4. (-8) - (+3)
Answer:
4. (-8) - (+3)
Step-by-step explanation:
This answer does not result in an answer of -5
This subtracts -3 from -8, which gives you the answer of -11.
So, this answer is correct because it is the one that doesn't result in -5.
Answer:
Problem #4
Step-by-step explanation:
Some things to remember when doing problems like are
Double negative = positive
Double positive = positive
Negative & positive = negative
1. (-7) + (+2) 2. (-11) + (+6) 3. (-9) - (-4) 4. (-8) - (+3)
-7 + 2 -11 + 6 -9 + 4 -8 - 3
-5 -5 -5 -11
Can someone help me??? It's for extra credit
Answer:
-7 , -1Step-by-step explanation:
if the equation of line p is
4x+7y=20 then the equation of line q must be
-7 x +4y=15 because perpendicular lines have
slopes with a product of -1
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FU=-v+
Of(x) = - 3x + 4
o f(x) = -x +
Of = -3y + 4
Answer:
9x + 3y = 12
3y = -9x + 12
y = -3x + 4
f(x) = -3x + 4
Step-by-step explanation:
I hope it's help
Gasoline costs $3.65 a gallon Which is an estimated cost of 14.2 gallons of gasoline?
Answer:
the answer is $51.83
Step-by-step explanation:
Answer:
40 or 56 because 3.65 x 14.2 is gonna equal 51.83
Juelle had $25,000 to invest. She invested part of that amount at 3% interest and part at 5% interest for one year. The amount of interest she earned for both investments was $1100. How much was invested at each rate?
Answer:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Step-by-step explanation:
Juelle had $25,000 to invest.
She invested part of that amount at 3% interest and part at 5% interest for one year.
The amount of interest she earned for both investments was $1100.
The formula for Simple Interest =
Principal × Rate × Time
Let us represent
The first amount invested at 3%= x
The second amount Invested at 5% = y
x + y= $25,000....... Equation 1
x = 25,000 - y
3% × x + 5% × y = $1100...... Equation 2
0.03x + 0.05y = 1100...... Equation 2
We substitute 25000 - y for x in Equation 2
0.03x + 0.05y = 1100
0.03(25000 - y) + 0.05y = 1100
750 - 0.03y + 0.05y = 1100
Collect like terms
- 0.03y + 0.05y = 1100 - 750
0.02y = 350
y = 350/0.02
y = 17500
Solving for x
x = 25,000 - y
x = 25000 - 17500
x = 7500
Therefore:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
-3x+6<27?
Solving Linear Inequalities.
While solving, you can treat inequalities the exact same as you would treat equations. Pretend the inequality sign is an equals sign. Now solve for x.
-3x + 6 < 27
-3x < 21
3x < -21
x < -7
What’s all the factor pairs of 12
Answer: 1, 2, 3, 4, 6, 12
Answer:
[tex]1 \times 12 \\ 2 \times 6 \\ 3 \times 4 \\ 4 \times 3 \\ 6 \times 2 \\ 12\times1[/tex]
hope this helps you.
~ Hi1315~
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?
k=-36
Step-by-step explanation:
x inversely proportional to y
x=1k/y
where k = constant
x= -3, y= 12, k = ?
-3=k/12
k = -3 × 12
k = -36
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
Learn more about prism here; https://brainly.com/question/24606047
Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?
Answer: 11+23i
Step-by-step explanation:
(i+5)(3+4i)
First foil
3i+4i^2 +15+20i
Then combine like terms
23i+15+4i^2
i^2 = -1 so,
23i+15+4(-1)
11+23i
Factor the GCF: 9x^4 - 6x^3y^2 + 3x^2y^3.
A. 3x^2y(3x^2 - 2xy + y^2)
B. 3xy(3x^2 - 2xy + y^2)
C. 3xy^2(3x^2 - 2xy + y^2)
D. 3x^2y(3x^2 + 2xy + y^2
PLEASE HELP ME
Answer:
3x2y(3x2−2xy+y2) So C
Step-by-step explanation:
27 = -3x - 9 plssss helppp
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
Simplify the expression below.
3(3x + 5) – 7x – 8
Answer:
2x+7
Step-by-step explanation:
pls help with this math question
Answer:
its x>-249
Step-by-step explanation:
this should be the answer cause x is 0 on the line and the 249 is negative so its much less than 0
Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick
Answer:
I think personification
Step-by-step explanation:
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
Please help me if you are good at math!
HELP PLLSS
92;69
work included!
Answer:
92/69 cannot be simplified
Step-by-step explanation:
Solve the inequality:
2(x = 5) > 4
Answer:
x>-3 (if the = is meant to be +)
Step-by-step explanation:
Distribute the 2: 2x+10>4
Subtract 10 from both sides: 2x>-6
Divide both side by 2: x>-3