Answer:
22,000
Step-by-step explanation:
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.
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
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 !!!!!
Solve for the equation -72 =8(y-3) show your work PLS HELP ME ASAP!!!!!!!!!!
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]
Can someone give me the answer please.
Answer:
11 17/21= 11[tex]\frac{17}{21}[/tex]
Step-by-step explanation:
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.
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
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".
For more information about the pattern,
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On a math test students must solve the inequality
Answer:
clasify your question
Step-by-step explanation:
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.
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.
To get more about EMI visit:
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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)
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.
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
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!
You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.
PLEASE EXPLAIN HOW TO DO THIS
What is the product
(y^2+3y+7)(8y^2+y+1)
Answer:
the last option
Step-by-step explanation:
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:
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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
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!
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]
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
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
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
please help ASAP!!!!!
Answer:
that would be 26
Step-by-step explanation:
you got this!
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
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!!!
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.