Craig likes to collect records. Last year he had 10 records in his collection. Now he has 11 records. What is the percent increase of his collection?
Answer:
40%
Step-by-step explanation:
In a theme park the roller coaster is six times more popular than the big swingboat. How would you write this as a ratio?
A) 1:6 B) 6:1 C) 6:6
Answer:
A - 1:6
Step-by-step explanation:
Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
A scientist has two acid solutions: Artesia, which is a $70\%$ acid solution, and Borromeo, which is a $20\%$ acid solution. (a) Find the amount of Artesia (in mL) that must be added to $500$ mL of Borromeo in order to produce a $60\%$ acid solution. (b) Find the amount of Artesia and Borromeo (in mL) that can be combined in order to form a $100$ mL solution that is $55\%$ acid. (c) Does there exist a combination of Artesia and Borromeo that is $80\%$ acid?
Answer:
(a) 2000 mL
(b) 70 mL, 30 mL
(c) No
Step-by-step explanation:
Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.
(a) Let x mL of Artesia is added to 500 mL of Borromeo to produce a 60% acid solution.
So, 70% of x + 20% of 500 = 60% of (x+500)
[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]
[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.
(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.
So, x+y=100\Rightarrow y= 100-x
And, 70% of x + 20% of y = 55% of (100)\\\\
[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]
[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.
and y= 100-x= 100-70=30 mL.
(c) Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.
And, 70% of x + 20% of y = 80% of (x+y)
[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]
As x and y are amount of Artesia and Borromeo, so x>0 and y>0
[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.
Ad the negative value of x/y is not so x/y=-6 is not possible, hence, any combination of Artesia and Borromeo that is 80% acid solution is not possible.
Find the hypothesis for side a 16 side b 20
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
What words do I fill the blanks in with? Please hurry <3
Answer:
It says why you suck at cooking
Hope this helps!! :D
someone please help
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
3 3/4 divided by 3/4
Answer:
5
Step-by-step explanation:
3 3/4 divided by 3/4 is equal to 15/4 divided by 3/4
which is 15/4 times 4/3 the 4's cancel each other out making it 15/3 which is 5
Answer:
The answer is 5
Step-by-step explanation:
i dont really know how i know it just do.
What is the y-intercept?
4
Answer:
A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)
Step-by-step explanation:
i just need help with this one question
Answer: 1/4 chance of picking red
Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4
Hope this helps!
Answer:
30/120
Step-by-step explanation:
Add 30+30+60
120/ 4 because 60/2 is 30 so thats two 30s
then there is a 30 out of 120 chance it is red
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Mariana and Russell both went bowling last weekend, but not together. Mariana went during
open bowling time, paying $10 for shoe rental and $1 per hour. Russell went on family night,
when each hour was $2 and shoe rental was $3. As it turned out, they played for the same
number of hours and spent the same amount. How much did each one spend? How many
hours did each one bowl?
Mariana and Russell each spent $
and bowled for
hours.
Answer:
16
m=10 per hour=1
Step-by-step explanation:
find 6 rational numbers between 8 and 9
Answer:
Step-by-step explanation:
8,1 8,2
8,3 8,4
8,5 8,6
hello! um what is the equivalent to 3/7?
Answer:
9 goes in the blank
Step-by-step explanation:
Since 21 divided by 7 is 3 then you would have to multiply 3 to the numerator to get the equivalent. Hope this helped :)
Answer:
9/21
Step-by-step explanation:
multiply the numerator and denominator by 3 and you will get 9/21
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4
joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?
Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.
It took 48 minutes to drive downtown. An app estimated it would be less than that. If
the error was 20%, what was the app's estimate?
Answer:
38.4 minutes
Step-by-step explanation:
Assuming the error was 20% less
Answer:
40 mins
Step-by-step explanation:
GUYS PLS HELP ME, its math and I'm really stuck
Answer:
B. 1/2
Step-by-step explanation:
You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.
1/2 inch : 1 week
1/2
I Hope That This Helps! :)
The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
Read related link on:
https://brainly.com/question/18874560
x^2 plus 2y divideed by 2x plus 3z equal
Answer:
(x^2 plus 2y")
--------------------
2x(2x + 3)
Step-by-step explanation:
Doing this problem correctly requires the application of "order of operations" rules. "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your
x^2 plus 2y divided by 2x
comes out to:
(x^2 plus 2y")
--------------------
2x
If we now divide this result by "2x plus 3z," we get:
(x^2 plus 2y")
--------------------
2x
================
2x + 3
or:
(x^2 plus 2y")
--------------------
2x(2x + 3)
HELP I WILL CROWN BRAINLIEST
One question only
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AOBC is a parallelogram ,
Thus :
[tex]OA = BC = a[/tex]
And ;
[tex]AC = OB = b [/tex]
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M is the midpoint of AC ,
So :
[tex]AM = MC = \frac{b}{2} \\ [/tex]
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According to case of Cosine in ∆ OAM :
[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]
So :
[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]
[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]
_________________________________
I have something more to tell.
Just for know more...
According to the case of Sine in ∆ OAM :
[tex] \frac{OM}{ sin(A) } = \frac{
AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]
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Will give brainliest if correct.
Answer:
The x-intercept is 4,0. The y-intercept is 0,2.
Step-by-step explanation:
when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.
Have a nice day!
Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.
Answer:
Yes it is,
Step-by-step explanation:
Degree 1 (Exp 1) and it has 2 elements (2X and 1)
2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48
Which of the following transformations has the same result as a rotation of 90º CW?
a. dilation of scale factor of 9
b. rotation of 270º CCW
c. reflection about a horizontal line
d. translation down and to the right
Answer:
B...i'm pretty sure that this Is the right one
When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.
Answer:
4x+148
Step-by-step explanation:
Let the temperature be x and time taken by cricket to chirp be y
if when it is about 68°F, crickets chirp 124 times a minute, this means;
at x1 = 68, y1 = 124
If it is about 80°F, they chirp 172 times a minute, then;
at x2 = 80, y2 = 172
The standard form of equation in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line.
First we need to get the slope.
m = y2-y1/x2-x1
m = 172-124/80-68
m = 48/12
m =4
Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)
get the intercept c
124 = 4(68) + c
c = 272-124
c = 148
The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)
75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?
Answer:
67.5
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90
Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7
Answer:
slope(m)=change in y/change in x
-7=y-(-2)/x-(-7)
-7=y+2/x+7
-7(x+7)=y+2
-7x-49=y+2
-7x-49-2=y
-7x-51=y (B)
Can someone fill in the blanks please ?? 30 points
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerWILL GIVE BRAINLIES- ARITHMETIC SEQUENCE
Answer:
2,322,775
Step-by-step explanation:
[tex] a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\[/tex]
By the formula of sum of an Arithmetic Sequence
[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} [/tex]