Answer:
The Y-intercept is 1
It is where the line meets the y-axis
~PumpkinSpice1
[tex]==================================[/tex]
Remember, the y-intercept is the point where the graph touches the y-axis (that's why it's called y-intercept).
Let's look at this graph and see if we can identify the y-intercept of the line.
If we look at our graph, we'll see that the line touches the y-axis at (0, 1).
[tex]\pmb{Note:-}[/tex] Remember, y-intercepts have an x-coordinate of 0.
And guess what the y-coordinate is? Yes, it's the y-intercept of the line.
Hence, the y-intercept of the line is
[tex]\pmb{the~y-intercept~is~1}[/tex]
[tex]==================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.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.
Convert 147%, percent to a fraction in simplest form.
Answer:147/100
Step-by-step explanation:Convert the percentage to a fraction by placing the expression over
100
. Percentage means 'out of
100
1 47/100
That would be the answer uwu
-6 3/5 - (-7 4/15) + 2 /15
Simplify: 5(x+6)−(5−x)−6x
Answer:
25
Step-by-step explanation:
5(x+6)−(5−x)−6x
Remember PEMDAS
P – Parentheses
E – Exponents
M – Multiplication
/D – Division (whichever comes first from left to right)
A – Addition
/S – Subtraction (whichever comes first from left to right)
First, let's distribute the left side:
5 * x = 5x
5 * 6 = 30
5x + 30
Now, lets distribute the right side
-(5 - x) = -1(5 - x)
-1 * 5 = -5
-1 * -x = x ( - * - = +)
x - 5
Now we have:
5x + 30 + x - 5 - 6x
Let's combine like terms.
5x, -6x, and x are like terms. 5x + x = 6x - 6x = 0
30 and -5 are like terms. 30 - 5 = 25
25
Since we can't simplify this any further, that is our answer.
~ [tex]InLoveWithPugs[/tex]
Moderator
Math Enthusiast
if i only have 1/3 cups how many 1/3cups do i need to make a cup? answer asap!?
Answer:
2 1/3 ssssssssssssddddss
Answer:
You would need 3 to make 1 whole cup
Step-by-step explanation:
Because If we look at it fraction wise
It would be 1/3 right ? and all we need is to make a whole so if we get 3 of 1/3 cups it would be 3/3 . Which equals to 1 cup
Hoped I helped-
Sleepy~
Identify the function shown in this graph.
A.
y
=
1
2
x
+
1
y=
2
1
x+1
B.
y = –2x – 1
C.
y = –2x + 1
D.
y = 2x – 1
Answer:
b
Step-by-step explanation:
B.................
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
what is 9x9x9x9x9x9x9x9x9x9x9x99x99x99x99x99=?
Answer:
2.9843075e+20
Step-by-step explanation:
Am pretty sure tht the answer
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:
Say you are filing as a single taxpayer. You have a gross income of $61,026 and claim two exemptions. You can make a deduction of $2,871 for interest on your mortgage, a deduction of $2,376 for property tax, an adjustment of $3,206 for business losses, an adjustment of $2,575 for contributions to your retirement plan, a deduction of $2,682 for medical expenses, and an adjustment of $2,440 for business expenses. If exemptions are each worth $3,650 and the standard deduction is $5,700, what is your total taxable income?
a.
$39,805
b.
$35,526
c.
$37,576
d.
$43,276
Answer:
C
Step-by-step explanation:
took test
plz help asap.................................................
Answer:
There is no maximum. The minimum is (-1,-4). The shape is a parabola. Yes it is a function. It is continuous. The line of symmetry is x=1 I believe. The x intercepts are x=1 and x=-3. The y-intercept is y=3. It opens up
I am not sure about the rest.
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
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! :)
What is the lenght of the shown below
Answer:
There is no picture shown below.
Step-by-step explanation:
Consider making another question, and actually putting the picture!
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
Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5
Answer:
y=-x+2
Step-by-step explanation:
What is the y-intercept of this graph?
A. 0
B. 2
C. 4
D. 8
Answer: 0
Step-by-step explanation:
The line runs through the coordinate (0,0), rather than starting at (0,2), (0,4), or (0,8).
Always remember that you read coordinates as (x,y) which..
X is how many spaces right or left
Y is how many spaces up or down.
Answer:
A. 0
Step-by-step explanation:
If you can look at the graph it crosses the y-axis exactly at the origin which is 0. This makes 0 the y-intercept because the line intercepts the y-axis at the point (0,0) making our solution A: 0
If you think my answer was helpful please make it the brainliest that would be much appreciated. Thanks! :D
pls help im so behind
Answer:
Step-by-step explanation:
3(\sqrt(25)-10)+5 = -10
It's B 3(√25 -10)+5
Answer:
D
Step-by-step explanation:
it is because the brackets at B makes sense when you calculate individually
Can someone fill in the blanks please ?? 30 points
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerurgent please!!!!!!!!!!
Answer:
The answer shoudl be 6.2 miles
Step-by-step explanation:
how do you solve 6-9(4p-3)= 2(6p+7)+3
Answer:
p= 1/3
=0.333
Step-by-step explanation:
Simplifying
6 + -9(4p + -3) = 2(6p + 7) + 3
Reorder the terms:
6 + -9(-3 + 4p) = 2(6p + 7) + 3
6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3
6 + (27 + -36p) = 2(6p + 7) + 3
Combine like terms: 6 + 27 = 33
33 + -36p = 2(6p + 7) + 3
Reorder the terms:
33 + -36p = 2(7 + 6p) + 3
33 + -36p = (7 * 2 + 6p * 2) + 3
33 + -36p = (14 + 12p) + 3
Reorder the terms:
33 + -36p = 14 + 3 + 12p
Combine like terms: 14 + 3 = 17
33 + -36p = 17 + 12p
Solving
33 + -36p = 17 + 12p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-12p' to each side of the equation.
33 + -36p + -12p = 17 + 12p + -12p
Combine like terms: -36p + -12p = -48p
33 + -48p = 17 + 12p + -12p
Combine like terms: 12p + -12p = 0
33 + -48p = 17 + 0
33 + -48p = 17
Add '-33' to each side of the equation.
33 + -33 + -48p = 17 + -33
Combine like terms: 33 + -33 = 0
0 + -48p = 17 + -33
-48p = 17 + -33
Combine like terms: 17 + -33 = -16
-48p = -16
Divide each side by '-48'.
p = 0.3333333333
Simplifying
p = 0.3333333333
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.
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:
what is the composition f•g if f(x)=4-2x and g(x)=3x^2
Answer: 4-6x^2
Step-by-step explanation:
f•g = f(g(x))
f(g(x)) = 4-2(3x^2) = 4-6x^2
question is in the picture
Answer: d,f
[tex]-x\geq 4\\=> x\leq -4[/tex]
=> all the values are d and f
Step-by-step explanation:
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:
plz help me on this question
Answer:
[tex]\boxed {129\textdegree}[/tex]
Step-by-step explanation:
Both angles labeled, are actually Supplementary Angles (which two angles that add up to [tex]180\textdegree[/tex]). So, to find the missing measurement of an angle, which is the angle labeled in [tex]x[/tex], you need to take [tex]51\textdegree[/tex] and subtract it from [tex]180\textdegree[/tex] to get the missing angle measurement:
[tex]180\textdegree - 51\textdegree[/tex]
[tex]\boxed {129\textdegree}[/tex] (angle measurement for the angle labeled in [tex]x[/tex])
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)
Which equation matches the graph? A. y-2=3(x-2) B. y-2=3(x+2) C. y+2=-3(x+2) d. y-2=-3(x-2)
Answer:
There's no graph
Step-by-step explanation:
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