Janae and Jerome each have either 3, or 4 or 5 marbles. Option C, D and E are correct.
How do you calculate the value of integer m?Given that the number of marbles has:
Janae = m
Jerome = m
Gwen = 4(m+2)
John = 8m+4
John has more marbles than Janae, Jerome, and Gwen combined, So this can be written as,
[tex]8m+4 \geq m + m + 4(m+2)[/tex]
[tex]8m+4\geq 2m + 4m+8[/tex]
[tex]8m+4 \geq 6m+8[/tex]
[tex]2m\geq 4[/tex]
[tex]m\geq 2[/tex]
It means that the value of m is greater than 2, it can be 3, 4 or 5.
Hence we can conclude that Janae and Jerome each have either 3, or 4 or 5 marbles. Options C, D and E are correct.
To know more about integers, follow the link given below.
https://brainly.com/question/1768255.
You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.
what is 3c2+ 2c- 16?
factoring
In the given question, we have to factorise the equation:
3c² + 2c - 16Therefore, by using the middle term splitting method:
This method is used in equations which are in the form of ax² + bx + c. Here, we split the middle term into two terms which on multiplying gives ac and on adding or subtracting gives bx .➙ 3c² + 2c -16
➙ 3c² - 6c + 8c - 16
➙ ( 3c² - 6c )+ (8c - 16 )
➙ 3c( c - 2 ) + 8 ( c - 2 )
➙ ( c - 2 ) ( 3c + 8 )
Factorisation of a quadratic polynomial of the type ax² + bx + c where (a ≠ 1) .
To factorise ax² + bx + c, we have to find two numbers whose sum is equal to the coefficient of x and product is equal to the coefficient of x² and constant term.Consider the factorisation of 3c² + 2c – 16 .
We have to find two numbers whose sum is +2 and product (3 × 16) = 48 .
Obviously, the two numbers are 6 and 8 .
[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 2c - 16 }}}[/tex]
So, We can write it as,
[tex]{ \qquad \sf { \dashrightarrow{ 3c {}^{2} + 8c - 6c - 16 }}}[/tex]
[tex]{ \qquad \sf { \dashrightarrow{ c (3c + 8) -2 (3c + 8) }}}[/tex]
[tex]{ \qquad \sf { \dashrightarrow{ ( c -2 )(3c + 8) }}}[/tex]
Can someone give me the answer please.
Answer:
11 17/21= 11[tex]\frac{17}{21}[/tex]
Step-by-step explanation:
What percent of 518 is 180? Round to the nearest whole #
if we take 518 to be the 100%, what is 180 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 518&100\\ 180&x \end{array}\implies \cfrac{518}{180}=\cfrac{100}{x}\implies \cfrac{259}{90}=\cfrac{100}{x} \\\\\\ 259x=9000\implies x=\cfrac{9000}{259}\implies x\approx 35[/tex]
Keith fills an aquarium to a depth of
3/4
meters in 1 1/5
minutes.
What is the unit rate in minutes per meter?
Write your answer as a fraction or a mixed number in simplest form.
Answer:
1 3/5 minutes per meter
Step-by-step explanation:
To find the rate in minutes per meter, divide the given minutes by the given meters:
(1 1/5 min)/(3/4 m) = (6/5)×(4/3) min/m = 8/5 min/m
= 1 3/5 minutes per meter
factorize u(5v+35w)+s(-7v-49w)
Answer:
5uv+35uw+7sv-49sw
Step-by-step explanation:
u(5v+35w)+s(7v-49w)
=5uv+35uw +7sv-49sw
You need to multiply the numbers in the brackets by the number in front of the bracket.
hope it helps !!!!!
What is the product
(y^2+3y+7)(8y^2+y+1)
Answer:
the last option
Step-by-step explanation:
how to say hi pls i need to know
Answer:
Step 1.
Say "hi"
k that's it
Answer:
U just say hey
Step-by-step explanation:
hope this helped
Pls, choose me as brainliest!
Solve for the equation -72 =8(y-3) show your work PLS HELP ME ASAP!!!!!!!!!!
Determine the amount of money in a money market account providing an annual rate of 6.5 % compounded daily if the invested amount of $3,500 is left in the account for 5 years .
Answer:
this is the answer for the question=$4795.30
Which expression results when the change of base formula is applied to log subscript 4 baseline (x 2)? startfraction log (x 2) over log 4 endfraction startfraction log 4 over log (x 2) endfraction startfraction log 4 over log x 2 endfraction startfraction log x 2 over log 4 endfraction
When the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].
What are the Properties of logarithms?There are four basic properties of logarithms:
[tex]\rm log_aU+ log_aV = log_a(UV)\\\\log_aU - log_aV = log_a(\dfrac{U}{V})\\\\log_aU^n = n\ log_aU\\\\\log_ab = \dfrac{log_xb}{log_xa}\\\\[/tex]
When the change of base formula is applied to log subscript 4 baseline (x 2), the result expression will be,
[tex]\rm log_4(x+2)=\dfrac{log_{10}(x+2)}{log_{10}4}=\dfrac{log(x+2)}{log4}[/tex]
Hence, when the change of base formula is applied to log subscript 4 baseline (x+2), the result is [tex]\dfrac{log(x+2)}{log4}[/tex].
Learn more about Logarithms:
https://brainly.com/question/7302008
Answer:
a - StartFraction log (x + 2) Over log 4 EndFraction
Step-by-step explanation:
edge 2022
im not sure if the highlighted one is correct please help
Answer:
yea it's correct complimentary below 90 degrees is complimentary angles.
Answer:
2nd option is correct
Step-by-step explanation:
Complementary angles sum to 90°
23° + 67° = 90°
These are complementary angles
An ad says that 6 lemons cost $1.86. What will 8 lemons cost?
Answer: 2.48
Step-by-step explanation:
We have the ad that shows:
6 lemons for .....................1.86 dollars
8 lemons..............................?
the cost for 8 lemons= (8*1.86)/6=2.48
of course we can use another method,
1.86/6=0.31 cents for 1 lemon
8*0.31=2.48 and we get the same answer
Answer:
$2.48
Step-by-step explanation:
1.86/6=0.31 which is the cost for 1 lemon. 0.31*8=2.48 which is for 8 lemons.
If the base of a square building and an equilateral triangle building have the same perimeter,
how do the areas of their floors compare?
The relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
How to compare the areas?Let the side length of the base of the square building be l, and the side length of the base of the equilateral triangle building be s
So, the perimeter of both buildings is
P = 4l --- the squareP = 3s --- the equilateral triangleBoth perimeters are equal.
So, we have:
4l = 3s
Divide both sides by 4
[tex]l = \frac 34s[/tex]
Square both sides
[tex]l^2 = \frac{9}{16}s\²[/tex]
The area of an equilateral triangle is:
[tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
And the area of a square is
[tex]A_s = l^2[/tex]
Make s^2 the subject in [tex]A_t = \frac{\sqrt 3}{4}s^2[/tex]
[tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex]
Substitute [tex]s^2 = \frac{4A_t}{\sqrt 3}[/tex] and [tex]A_s = l^2[/tex] in [tex]l^2 = \frac{9}{16}s\²[/tex]
[tex]A_s = \frac{9}{16} * \frac{4A_t}{\sqrt 3}[/tex]
Evaluate
[tex]A_s = \frac{9}{4} * \frac{A_t}{\sqrt 3}[/tex]
Rationalize
[tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Hence, the relationship between the areas of the floors is [tex]A_s = \frac{3\sqrt 3}{4} A_t[/tex]
Read more about perimeter and area at:
https://brainly.com/question/24571594
Graph the function f(x) = – 4(x + 4)2 square + 7.
Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.
Graph attached
Answer:
vertex = (-4, 7)
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
Step-by-step explanation:
Given function: [tex]f(x) = -4(x + 4)^2 + 7[/tex]
Vertex form of a quadratic function: [tex]f(x)=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
From inspection, we can see that the given function is in vertex form.
h = -4 and k = 7
Therefore, the vertex is at (-4, 7)
As [tex]a[/tex] is negative, the parabola will open downwards.
When graphing functions, it is useful to determine the axis intercepts.
The curve will intercept the y-axis when x = 0.
Substituting x = 0 into the function:
[tex]f(0) = -4(0 + 4)^2 + 7=-57[/tex]
Therefore, the y-intercept is at (0, -57)
**cannot plot this on the given graph area as it is out of range**
The curve will intercept the x-axis when y = 0.
Setting the function to 0 and solving for x:
[tex]-4(x + 4)^2 + 7=0[/tex]
[tex]\implies -4(x + 4)^2=-7[/tex]
[tex]\implies (x + 4)^2=\dfrac74[/tex]
[tex]\implies x+4=\pm\sqrt{\dfrac74}[/tex]
[tex]\implies x=-4\pm\dfrac{\sqrt{7}}{2}[/tex]
Therefore, the x-intercepts are at (-2.7, 0) and (-5.3, 0) to 1 dp.
Finally, input values of x either sides of the x-intercepts for further plot points:
(-3, 3) and (-2, -9)
(-6, -9) and (-5, 3)
let a and b be the roots of the equation x^2-2(p+1)x+p^2+8=0. If the absolute value of the difference of a and b equals to 2. find p
Answer:
4
Step-by-step explanation:
a and B are the roots of
[tex] {x}^{2} - 2(p + 1)x + {p}^{2} + 8 = 0[/tex]
[tex] {x}^{2} - 2px - 2x + {p}^{2} + 8 = 0[/tex]
This look like a parabola since p will be a constant so let use a quadratic formula
[tex] {x}^{2} -(2p + 2)x + {p}^{2} + 8 = 0[/tex]
[tex]2p + 2± \frac{ \sqrt{4 {p}^{2} + 8p + 4 - (4 {p}^{2} + 32) } }{2} [/tex]
[tex]2p + 2± \frac{ \sqrt{8p - 28} }{2} [/tex]
[tex]2p + 2± \frac{2 \sqrt{2p - 7} }{2} [/tex]
[tex]2p + 2± \sqrt{2p - 7} [/tex]
So the roots are
[tex]2p + 2 + \sqrt{2p - 7} [/tex]
and
[tex]2p + 2 - \sqrt{2p - 7} [/tex]
We know the distance between these two points are
2 so
[tex] |(2p + 2) + \sqrt{2p - 7} - (2p + 2) - \sqrt{2p - 7} | = 2[/tex]
[tex] | \sqrt{2p - 7} + \sqrt{2p - 7} | = 2[/tex]
[tex] |2 \sqrt{2p - 7} | = 2[/tex]
[tex]2 \sqrt{2p - 7} = 2[/tex]
[tex]p = 4[/tex]
Let plug it in to see.
[tex] {x }^{2} - 2(4 + 1)x + {4}^{2} + 8 = 0[/tex]
[tex] {x}^{2} - 10x + 24 = 0[/tex]
[tex](x - 6)(x - 4) = 0[/tex]
[tex]x = 4[/tex]
[tex]x = 6[/tex]
So they have a distance of 2.
Vicky got her hair cut at Great Clips. She was quite pleased with her service so she left a 25% tip for her hair dresser which was $4.75. What is the cost of a hair cut at Great Clips?
Answer:
19
Step-by-step explanation:
4.75 x 4 = 19
19 dollars for the haircut
Have an amazing day!
PLEASE RATE!
please help ASAP!!!!!
Answer:
that would be 26
Step-by-step explanation:
you got this!
A bookstore has a shelf that is 27 1/2 inches long. Each book is 1 1/4 inches thick. How many books can fit on shelf
Answer:
34.375
Step-by-step explanation:
You first have to count and see how many times the selected number goes into the whole number
27.5 / 1 1/4 = 34.375 and if we remove the extra decimal 34.37
My bowling average for four games was 160.
Two of my games were 155 and 169.
What was the average of my other two games?
Answer:
Step-by-step explanation:
The average of 4 games was 160. The average consists of the sum of all the scores, divided by 4:
(Sum of Games)/4
Sum of 2 games is (155 + 169) = 324
Lets let the sum of the two unknown games be x.
(234 + x)/4 = 160
(234 + x) = 640
x = 316
x consists of 2 games, so their average is (316/2) = 158 per game for the other 2 games.
===============
Check:
(155+169+158+158)/4
(640/4) = 160 average for all games.
Please help I will give brainliest.
Answer:
24(6) </= 200
Step-by-step explanation:
24(6) is less than or equal to 200 notepads, that are needed. Which is actually true. 144 is less than or equal to 200.
find the minimum or maximum value of the function. h(x)=-4x^2-4x+24
Answer:
the maxium value is 25 you can see this in the picture
Hope This Helps!!!
A computer's normal price is $1400. The shop is now offering $130 discount. How many percent is the discount
Answer:
9% discount (i think im not the best at percentages sorry)
Step-by-step explanation:
since we already know how much we are getting off of the original price, we dont have to subtract anything
so you would divide this price, 130, from 1400
130/1400= 0.0928
then you would have to muliply this number by 100
0.0928 x 100= 9.28
and you would just round to the nearest number which is 9
i hope this is right sorry if it isnt
The town of Springfield had a population, P, of 100,000 in 2008. The population grew by 5% per year from 2008 to 2011. If x is the number of years since 2008, which expression describes this growth?
Answer:
100,000+.05^x=P
Step-by-step explanation:
The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3.
What is the pattern?A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.
The hint which is present in a given pattern hides in the pattern only.
Total population P in 2008 = 100000
Total population In 2009 = 100000 + 5% of 100000
⇒ 100000 + 0.05 × 100000
⇒ 1.05 × 100000
Total population P in 2010 ⇒
⇒ (1.05 × 100000) + 5% of (1.05 × 100000)
⇒ (1.05 × 100000) + 0.05 × 1.05 × 100000
⇒ 1.05 × 100000[ 1 + 0.05]
⇒ 1.05² × 100000
So it will follow this series.
Therefore,
1.05 × 100000, 1.05² × 100000, 1.05³ × 100000
The generalized term is ;
P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3
Hence "The expression which best described the total population is P = 100000 × (1.05)ˣ; 1 ≤ x ≤ 3".
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A costume closet contains 8 dresses, 3 shirts, 5 pairs of pants, and 4 hats. What is the probability of randomly selecting a hat from the costume closet
Answer:
I would say that it's a 1/4 chance.
Step-by-step explanation:
So...
I added the numbers
And got that
I'm sorry if it didn't help
On a math test students must solve the inequality
Answer:
clasify your question
Step-by-step explanation:
A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (apr) of 5.3%. the family is financing it over 30 years and making monthly payments. what is the monthly payment?
The monthly payment of the family is $1082.84.
Value of the mortgage P= $195,000
Annual Percentage Rate APR= 5.3%
Time n = 30 years = 360 months
What is the formula for monthly payment or EMI?Monthly Payment = [tex]\frac{Pr(1+r)^n}{(1+r)^n-1}[/tex]
Where P = Amount of Mortgage
r = monthly rate of interest
n = tenure in months.
Put P = $195,000
r = APR/12= 5.3%/12
n = 360
So, EMI = $1082.84
Therefore, The monthly payment of the family is $1082.84.
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PLEASE EXPLAIN HOW TO DO THIS
A school principal is buying chairs and desks from a furniture supplier.
The chairs cost $110 each.
The desks cost $70 each.
The principal wants to buy at least 100 pieces of furniture.
The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of chairs, c, and desks, d, the principal can buy?
Jc+ds 100
110c + 70d 29,400
6
c+d s 100
70c + 110d 29,400
c+d2 100
moog10/0
d
100
70c + 110d s 9,400
Answer:
I think the answer would be C!
Step-by-step explanation:
I am taking the test now, I think that would be the only one that makes sense. I am sorry if I am wrong.
a like goes through the point (-4,-6) and the point (10,1) write the equation of the line intercept form
A.y=-2x+4
B.y=2x-4
C. y=1/2x-4
D.y=-1/2x-4
Answer:
I IM NOT 100 PERCENT BUT IT MIGHT BE A
Step-by-step explanation:
i think it might be B
because first, u do slope formula y2-y1 and x2-x1 so 1-(-6) and 10-1
then u get 7/14 which is 2 and then plug in the numbers like -4=2(-6)+b
and then you add 12 to -4 and get 8=b I think after this u divide and get 4