Answer:
Distance between points = [tex]37/64\\[/tex]
Step-by-step explanation:
This is a relatively simple problem. Here we have to find the distance between two points on the number line.
The given two numbers are fractions and to find the difference between these two numbers, we have to make their denominators common.
One has denominator as 8 and the other as 64.
We make the common denominator as 64.
Then the fractions 24/64 are 61/64 and .
The distance between the two points = 61/64 - 24/64
= 37/64
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
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:
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
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)
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:
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
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! :)
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
A charm bracelet costs $65, plus $25 for each charm, write an equation in standard form that represents the total cost y of a bracelet that has x charms please help!
Answer: , y = 65+25x
Step-by-step explanation:
Let x = Number of charms
Given : Fixed cost of bracelet = $65
On addition , cost per charm = $25
Total cost of bracelet = Fixed charge + (Charge per charm) x (number of charm)
If y= total cost.
Then, y = 65+25x , which is the required equation.
Plzz help!!
Are the two triangles below similar?
(6 points)
1) No, because the corresponding sides are not proportional
2) Yes, because the corresponding sides are proportional
3) No, because there are not two pairs of congruent corresponding angles
4) Yes, because there are two pairs of congruent corresponding angles
Answer:
Step-by-step explanation:
Yes plzz give me brainliest
Which set of statements shows the correct steps to find 45 percent of 75?
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 1.67.
Write 45 percent as . Then, find of 75: . So, 45 percent of 75 is 16.7.
Answer:
Write 45 percent as 9 ´ 5 percent, and write 5 percent as . Then, find of 75: . Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75
The value of 45 percent of 75 is 33.75 and this can be determined by using the unitary method and the given data.
Given :
Number --- 75
The following steps can be used in order to determine the 45 percent of 75:
Step 1 - The unitary method can be used in order to determine the 45 percent of 75.
Step 2 - According to the given data, the given number is 75 which is 100%.
Step 3 - So, if 100% is 75 then the value of 45% is:
[tex]=\dfrac{45}{100}\times 75[/tex]
Step 4 - Simplify the above expression.
= 33.75
Therefore, the correct option is A).
For more information, refer to the link given below:
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Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answer:
B
Step-by-step explanation:
i got it right
1. What is -2y + 10 + 2y - 8 simplified?
Answer:
2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define expression
-2y + 10 + 2y - 8
Step 2: Simplify
Combine like terms (y): 10 - 8Combine like terms (constants); 2Answer:
Step-by-step explanation:
-2y + 10 + 2y - 8 = 20 - 8 = 2
-6 3/5 - (-7 4/15) + 2 /15
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.
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
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
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 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)
Solve the equation 3x-4=8-x
Answer:
x=3
Step-by-step explanation:
3x-4=8-x(Group like terms)
3x+x=8+4(Add both sides)
4x=12(After adding you will proceed to divide both sides by 4)
x=3(x is 3 because 4 can divide 12 3 times that's why we have x as equal to 3)
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!
urgent please!!!!!!!!!!
Answer:
The answer shoudl be 6.2 miles
Step-by-step explanation:
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.
Can someone fill in the blanks please ?? 30 points
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerquestion 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:
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
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:
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.
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