Answer:
13 grls in ur class
Step-by-step explanation:
15*115%=17
17-15=2
25-2=13
Hope tht this helps :)
a)The proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15.
b)The value of x obtained after solving the proportion is 13.043.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that there are 15 girls in your class this year and there is a 15% increment from last year.
Suppose x is the number of girls in the class last year,
⇒15 = 15 % of x + x
⇒(15-x)/x = 0.15
Solving the above equation for finding the value of x,
15 - x = 0.15 x
15 = 0.15 x + x
15 = 1.15 x
x =15 / 1.15
x=13.043
Thus, the proportion to solve for the number of girls in the class last year will be (15-x)/x = 0.15, and the value of x obtained after solving the proportion is 13.043.
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If f(x) = x - 5, then match each of the following.
Click the item in the left column. Use the plus sign to move it up or the minus sign to move it down until it matches the correct entry in the right column. Lock your answer in place by clicking the square beside the item. (A checkmark means it is locked.)
0 f(-1)
-4 f(0)
-5 f(1)
3 f(2)
-6 f(5)
-3 f(8)
Answer:
f(-1) = -6
f(0) = -5
f(1) = -4
f(2) = -3
f(5) = 0
f(8) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[Function] f(x) = x - 5
f(-1) is x = -1 for function f(x)
f(0) is x = 0 for function f(x)
f(1) is x = 1 for function f(x)
f(2) is x = 2 for function f(x)
f(5) is x = 5 for function f(x)
f(8) is x = 8 for function f(x)
Step 2: Evaluate
f(-1)
Substitute in x [Function f(x)]: f(-1) = -1 - 5Subtract: f(-1) = -6f(0)
Substitute in x [Function f(x)]: f(0) = 0 - 5Subtract: f(0) = -5f(1)
Substitute in x [Function f(x)]: f(1) = 1 - 5Subtract: f(1) = -4f(2)
Substitute in x [Function f(x)]: f(2) = 2 - 5Subtract: f(2) = -3f(5)
Substitute in x [Function f(x)]: f(5) = 5 - 5Subtract: f(5) = 0f(8)
Substitute in x [Function f(x)]: f(8) = 8 - 5Subtract: f(8) = 3what is the answer to 3.4m+2.4m
Answer:
5.8m
Step-by-step explanation:
What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Superscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0.
answer
Negative StartFraction 3 p Superscript 8 Baseline Over 4 q cubed EndFraction
Negative StartFraction 3 Over 4 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
Negative StartFraction p Superscript 8 Baseline Over 5 q cubed EndFraction
Negative StartFraction 1 Over 5 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
Answer:
Answer is A (-3p^8/4q^3)
Step-by-step explanation:
We want to simplify a fraction. The simplification is:
[tex]\frac{15*p^{-4}q^{-6}}{-20*p^{-12}*q^{-3}} = \frac{-3*p^8}{4*q^3}[/tex]
So we start with the fraction:
[tex]\frac{15*p^{-4}q^{-6}}{-20*p^{-12}*q^{-3}}[/tex]
Where:
p ≠ 0.q ≠ 0.Now, remember the rule:
[tex]\frac{x^n}{x^m} = x^{n - m}[/tex]
Then we can rewrite:
[tex]\frac{15*p^{-4}*q^{-6}}{-20*p^{-12}*q^{-3}} = \frac{15}{-20}*\frac{p^{-4}}{p^{-12}}*\frac{q^{-6}}{q^{-3}} \\\\= -\frac{-3}{4}*p^{-4 - (-12)}*q^{-6 - (-3)}\\\\= -\frac{-3}{4}*p^{8}*q^{-3}\\\\= \frac{-3*p^8}{4*q^3}[/tex]
And we can't keep simplifying this, so this is the correct answer.
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4) Arnold ate breakfast at a restaurant. His total came to $76.75. There is an 8% sales tax and 15% tip. What is Arnold's total cost? Show all your work and label all your answers.
all your answers.
Answer:
The total cost is $95.32.
Step-by-step explanation:
Given:
Total came to $76.75. There is an 8% sales tax and 15% tip.
Now, to find the total cost.
8% sales tax is there so we calculate the amount after adding sales tax:
$76.75 + 8% of $76.75
[tex]76.75+\frac{8}{100}\times 76.75[/tex]
[tex]76.75+0.08\times 76.75[/tex]
[tex]76.75+6.14[/tex]
[tex]82.89[/tex]
The cost after sales tax is $82.89.
Now, the cost after 15% tip:
$82.89 + 15% of $82.89
[tex]82.89+\frac{15}{100}\times 82.89[/tex]
[tex]82.89+0.15\times 82.89[/tex]
[tex]82.89+12.43[/tex]
[tex]95.32[/tex]
The cost after the tip is $95.32.
Therefore, the total cost is $95.32.
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n= 15, p=0.8, x = 12
P(12) =
(Do not round until the final answer. Then round to four decimal places as needed.)
Answer:
The probability of getting 12 successes out of 15 trials is [tex]P(12) = 0.2501[/tex].
Step-by-step explanation:
Given:
The probability distribution is binomial distribution.
Number of trials are, [tex]n=15[/tex]
Number of successes are, [tex]x=12[/tex]
Probability of success is, [tex]p=0.8[/tex]
Therefore, probability of failure is, [tex]q=1-p=1-0.8=0.2[/tex]
Now, probability of getting 12 successes out of 15 trials is given as:
[tex]P(X=x)=_{x}^{n}\textrm{C}p^{x}q^{n-x}\\P(12)=_{12}^{15}\textrm{C}(0.8)^{12}(0.2)^{15-12}\\P(12)=455\times 0.8^{12}\times 0.2^{3}\\P(12)=0.2501[/tex]
Therefore, the probability of getting 12 successes out of 15 trials is 0.2501.
Applying the binomial distribution, we get that P(X = 12) = 0.2501.
-------------------------
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, given by:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, defined by the formula below.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Considering that p is the probability of a success on a single trial.
For this problem, the parameters are [tex]n = 15, p = 0.8[/tex], and we want to find P(X = 12). Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.8)^{12}.(0.2)^{3} = 0.2501[/tex]
Thus P(X = 12) = 0.2501.
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10. A toy store received a shipment of 17 cases of
teddy bears. Use compatible numbers to estimate
the total number of teddy bears in the shipment.
estimate
12 bears per case
Answer:
17 × 12 = 204 teddy bears
Step-by-step explanation:
17 cases, 12 bears in each case
A community theater sold a total of 400 for price tickets for adults and children the price was $8.00 per adult to get in $5.00 per children’s ticket and the total revenue was $2750 how many adult tickets and how many Childers tickets were sold
Answer:
Number of children's tickets sold = 150
Number of adult's tickets sold = 250
Step-by-step explanation:
The total number of tickets sold = 400
Let us assume the number of children's tickets = m
So, the number of adult's ticket's sold = 400 - m
Here, the cost of 1 movie ticket for adult = $8.00
So, the cost of (400 -m) adult tickets = (400 - m) ( Cost of 1 adult ticket)
= (400 - m) ($8) = 3200 - 8 m
The cost of each ticket for child = $5.00
The cost of m children tickets = m ( Cost of 1 children ticket)
= m($5) = 5 m
Now, total cost of tickets = Money spend on (Adult's + children's) Ticket
⇒ 2750 = (3200 - 8 m) + (5 m)
or, 2750 - 3200 = -8 m + 5 m
or, -450 = -3 m
or, m = 450/3 = 150
or, m = 150
Hence, the number of children's tickets = m = 150
The number of adult's tickets sold = 400 - m = 400 -150 = 250
which place is the tenths and what is it rounded to? please answer quick thx
Answer:
Step-by-step explanation:
see attached to identify which is the tenth's place
How you round the tenth's place depends on the digit in the hundredths place.
If the hundredths digit is less than 5, then you keep the tenths place the same (i.e round down)
If the hundredths digit is greater or equal than 5, then you increase the tenths place by 1 (i.e round up)
Evaluate the expression below (5.2+6.3) - 12 ÷ 2.5
Answer:6.7
Step-by-step explanation:5.2+6.3=11.5 then you do -12 divided by 2.5 and get -4.8 then you add the answers together but that won’t work because different signs subtract and you get positive 6.7
To evaluate the expression (5.2+6.3) - 12 ÷ 2.5, you first perform the division. Then, substitute the result and add the numbers inside the parentheses. Finally, subtract the result from the addition.
Explanation:To evaluate the expression (5.2+6.3) - 12 ÷ 2.5, we start by performing the division. 12 ÷ 2.5 equals 4.8. Now, we substitute this result into the expression, so the expression becomes (5.2+6.3) - 4.8. Next, we add the numbers inside the parentheses together, giving us 11.5. Finally, we subtract 4.8 from 11.5, resulting in 6.7.
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The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 12 .
What is the equation of the hyperbola in standard form?
Answer:
The equation of the hyperbola in standard form is [tex]\frac{(x - 4)^2 }{ 9} - \frac{(y +2)^2}{2.25} = 1[/tex]
Step-by-step explanation:
Given:
Centre of the hyperbola=(−2,4)
one vertex of the hyperbola= (−2,7) .
slope of the asymptote = 12
To Find:
The equation of the hyperbola in standard form=?
Solution:
W know that the standard form of hyper bola is
[tex]\frac{(x - h)^2 }{ a^2} - \frac{(y - k)^2}{ b^2} = 1[/tex]............................(1)
where
(h,k) is the centre
(x,y) is the vertex of the parabola
a is the length between the centre and the vertices of the hyperbola
b is the distance perpendicular to the transverse axis from the vertex to the asymptotic line
Now the length of a is given by
a=|k-y|
a=|4-7|
a=|-3|
a=3
Also we know that,
Slope =[tex]\frac{a}{b}[/tex]= 2
=>[tex]\frac{3}{b}=2[/tex]
=>[tex]\frac{3}{2}=b[/tex]
=>b=1.5
Now substituting the known values in equation(1)
[tex]\frac{(x - 4)^2 }{ 3^2} - \frac{(y - (-2)^2}{ 1.5^2} = 1[/tex]
[tex]\frac{(x - 4)^2 }{ 9} - \frac{(y +2)^2}{2.25} = 1[/tex]
Answer:
[tex]\frac{(x+2)^{2}}{1296} - \frac{(y-4)^{2}}{9} = 1[/tex]
Step-by-step explanation:
The standard form of a hyperbola centered at a point distinct from origin has the following form:
[tex]\frac{(x-h)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
The distance between the center and the vertex is:
[tex]b = \sqrt{[(-2)-(-2)]^{2}+(7-4)^{2}}[/tex]
[tex]b = 3[/tex]
The value of the other semiaxis is:
[tex]\frac{a}{b} = 12[/tex]
[tex]a = 12\cdot b[/tex]
[tex]a = 36[/tex]
The standard equation of the hyperbola is:
[tex]\frac{(x+2)^{2}}{1296} - \frac{(y-4)^{2}}{9} = 1[/tex]
A science class starts an experiment with 3 plants that are each 2.5 cm tall. They provide all of the needs of the plant and
track their growth. Plant A was 23.5 cm tall after two weeks. What was the average rate
of change in inches per day of Plant A?
Answer 67
Step-by-step explanation:65:&:8/&/&&:
Average rate of change in height will be 0.59 inch per day.
Linear equations and their applications,Linear equation consist of one or two variables with highest degree as 1.Experiment with plants started with,
3 plants of 2.5 cm height.Plant A was 23.5 cm tall after 2 weeks.Let the variable defining change in the height per day of the plant = x
Change in the height of plant A after 2 weeks or 14 days = 14x cm
Height of the plant A initially = 2.5 cm
Height of the plant after 2 weeks = 14x + 2.5
If height of the plant A after 2 weeks = y
Linear equation defining the height of the plant after 2 weeks will be,
y = 14x + 2.5
Plant A is 23.5 cm tall after 2 weeks,
23.5 = 14x + 2.5 [Substitution of y = 23.5]
23.5 - 2.5 = 14x + 2.5 - 2.5
21 = 14x
x = 1.5 cm
Since, 1 cm = 0.393701 inches
Therefore, 1.5 cm = 1.5 × 0.393701
= 0.591
≈ 0.59 inches per day
Hence, average rate of change in the height of plant A will be 0.59 inches per day.
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Jennifer’s bill for lunch was $15.00 If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave? A x15=100/20 B x15=20/100 C 15x=20/100 D 20x=15/100
Answer:
B
Step-by-step explanation:
20% is 20 out of 100
and that's how you find out how much of a tip you should leave.
The proportion that would BEST represent how to find how much tip she should leave is x/15 = 20/100
Let the amount of tip h left be expressed as x
Given the following parameters
Bill for lunch = $15.00Tip = 20%To find the amount of tip Jennifer dropped;
Price of tip = 20% of 15
x = 20/100 * 15
x/15 = 20/100
Hence the proportion that would BEST represent how to find how much tip she should leave is x/15 = 20/100
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use the identity below to complete the tasks a^3-b^3=(a-b)(a^2+ab+b^2) when using the identity for the difference of two cubes to factor 64x^6-27
Answer:
see explanation
Step-by-step explanation:
Given that the the difference of cubes is
a³ - b³ = (a - b)(a² + ab + b²)
Given
64[tex]x^{6}[/tex] - 27 ← a difference of cubes
with a = 4x² and b = 3, thus
= (4x²)³ - 3³
= (4x² - 3)(16[tex]x^{4}[/tex] + 12x² + 9) ← in factored form
The required expression (4x^2-3)(16x^4+12x^2+9).
To evaluate 64x^6-27 as a^3-b^3=(a-b)(a^2+ab+b^2).
What is identity?Cubic identity is given as [tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex].
Here,
=64x^6-27
=(4x^2)^3-3^3
Such that, a =4x^2 and b = 3.
Put a and b in [tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex].
[tex](4x^2)^3-3^3=(4x^2-3)(16x^4+12x^2+9).[/tex]
Thus, the required expression (4x^2-3)(16x^4+12x^2+9).
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How do you evaluate 9√9
Answer:
27
Step-by-step explanation:
square root of 9 is 3, so you multiply 3 by 9.
Answer:
27
Step-by-step explanation:
I’m stuck on how to do these for Geometry.
Answer:
[tex]67\dfrac{1}{2}[/tex] sq, units.
Step-by-step explanation:
See the diagram of the parallelogram with given dimensions.
We know, the area of a parallelogram = Length of any side × Perpendicular distance of this side from the opposite parallel side.
Here, it is given that the length of a pair of parallel sides is 9 units and the perpendicular distance between those parallel lines is 7.5 units.
Therefore, the area of the parallelogram is (9 × 7.5) = 67.5 square units. (Answer)
Hence, in fraction the area can be expressed as [tex]67\dfrac{1}{2}[/tex] sq, units. (Answer)
the Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of p
A) 11
B)-2
C)15
D)40
Answer:
(c) For p = 15, [tex]4x^2-p(x)+7[/tex] leaves a remainder of -2 when divided by (x-3).
Step-by-step explanation:
Here, The dividend expression is [tex]4x^2-p(x)+7[/tex] = E(x)
The Divisor = (x-3)
Remainder = -2
Now, by REMAINDER THEOREM:
Dividend = (Divisor x Quotient) + Remainder
If ( x -3 ) divides the given polynomial with a remainder -2.
⇒ x = 3 is a solution of given polynomial E(x) - (-2) =
[tex]E(x) - (-2) = 4x^2-p(x)+7 -(-2) = 4x^2-p(x)+9[/tex] = S(x)
Now, S(3) = 0
⇒[tex]4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p =15[/tex]
or, p =1 5
Hence, for p = 15, [tex]4x^2-p(x)+7[/tex] leaves a remainder of -2 when divided by (x-3).
two airplanes are approaching an airport to land. the pilot of plane a records and angle of decent of 15 degrees. a person near the runwat finds the angle of elevation to plane b to be 15 degrees as well. are the two planes decending at the same angle?
Answer:
Yes,two planes descending at the same angle
Explanation:
Given the angle of deviation as seen by the pilot is equal to 15 degrees,
i.e the angle made by the line of sight with the ground is 15 degrees also the angle of elevation from a person at ground to the other plane is given to be equal to 15 degrees
which means the angle made by line of sight to plane and ground is equal to 15 degrees hence both of these situations refer to the same angle at a point and hence both planes are descending at the same angle.
Kayla works for 7 hours at $10.25 per hour. How much does he earn?
Please PLEASE PLEASE ANSWER!! I will make you brainliest if you show how you got the answer also :)
Multiply the number of hours worked by how much is made per hour:
7 hours x $10.25 per hour = $71.75 total
so it's 71.76 all i did was multiply 7 x 10.25 which equals 71.76
Find the product. Input your answer,
3 x7/8
Answer:
21/8
Step-by-step explanation:
3(7/8)=21/8
To multiply a whole number by a fraction, you have to change the whole number (the 3) into a fraction. To do this, simply put the 3 over 1.
3/1 x 7/8. Multiplying fractions is so easy because all you have to do is multiply the numerators together and then the denominators together.
3x7=21
1x8=8
21/8
This fraction cannot be reduced, but it can be rewritten as a mixed number.
21 divided by 8 is 2 with a remainder of 5.
The answer is 21/8 or 2 5/8. (they mean the same thing)
what is 1 + 2(4x + 1)
1 + 2(4x + 1)
mutiply the bracket by 2
(2)(4x)= 8x
(2)(1)= 2
1+8x+2
1+2+8x ( rearranging)
answer:
3+8x or 8x+3
Answer:
8x+3
Step-by-step explanation:
1+8x+2
1+2=3
8x+3 or 3+8x
PLEASE SHOW YOUR WORK I NEED THIS ASAP. thanks
Mrs. Bailey had 12 pieces of candy. She gave away some candy and has 3 pieces left. What is the percent decrease of candy?
Answer:75%
Step-by-step explanation:im sorry I can't get it out in words but you have the answer
Choose all which define events A and B as independent events.
P(A) = 0.6, P(B) = 0.4, P(A&B) = 0.24
P(A) = 0.3, P(B) = 0.4, P(A&B) = 0.70
P(A) = 0.5, P(B) = 0.1, P(A&B) = 0.60
P(A) = 0.3, P(B) = 0.2, P(A&B) = 0.06
There are 2 answers: Choice 1, Choice 4
=======================================
Why is this? Because we use the rule
P(A & B) = P(A) * P(B)
which only works if events A and B are independent
----
For the first answer choice,
P(A) * P(B) = 0.6*0.4 = 0.24 = P(A & B)
so that matches.
The same applies to the fourth answer choice as well
P(A) * P(B) = 0.3*0.2= 0.06 = P(A & B)
----
The other answer choices don't match up.
The second answer choice has
P(A) * P(B) = 0.3*0.4 = 0.12 but that doesn't match with the 0.70 given
Similarly for the third answer choice,
P(A) * P(B) = 0.5*0.1 = 0.05 which doesn't match with the 0.60
Answer:
Yes
Step-by-step explanation:
if the store design allows for 43 feet for each row how many total carts fit in a row?
The question lacks enough information to provide a definitive answer. If we know the width of a cart, we can divide 43 by the cart width to find out how many carts fit in a row.
Explanation:Unfortunately, we can't definitively answer this question as it doesn't specify the width of each cart. The number of carts that fit in a row greatly depends on the width of each cart. To calculate this, you would need to divide the total row width (43 feet) by the width of each individual cart. For example, if each cart was assumed to be 1 foot wide, then a total of 43 carts would fit in a row. However, if each cart was assumed to be 2 feet wide, then only 21 carts (with 1 foot left over) would fit in a row.
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What is the slope of the line passing through (0, 5) and (-12, 2) ? Enter your answer in the box.
Final answer:
The slope of the line passing through (0, 5) and (-12, 2) is calculated using the slope formula and is found to be 1/4.
Explanation:
The slope of the line passing through the points (0, 5) and (-12, 2) can be calculated using the formula slope (m) = (rise)/(run), where 'rise' is the change in the y-values and 'run' is the change in the x-values. To find the slope, we subtract the y-value of the second point from the y-value of the first point and divide by the subtraction of the x-value of the second point from the x-value of the first point: m = (5 - 2) / (0 - (-12)) = 3 / 12 = 1/4. Therefore, the slope of the line is 1/4.
Find the domain of the following expressions:
Answer:
Part 1) The domain is the interval (-∞,-7) ∪ (-7,0) ∪ (0,∞)
Part 2) The domain is the interval (-∞,0) ∪ (0,2) (2,∞)
Part 3) The domain is the interval (-∞,-6) ∪ (-6,6) ∪ (6,∞)
Step-by-step explanation:
Part 1) we have
[tex]\frac{32}{y}-\frac{y+1}{y+7}[/tex]
we know that
The denominator cannot be equal to zero
so
The value of y cannot be equal to 0 or cannot be equal to -7
The domain for y is all real numbers except the number -7 and the number 0
The domain in interval notation is
(-∞,-7) ∪ (-7,0) ∪ (0,∞)
Part 2) we have
[tex]\frac{y^2+1}{y^2-2y}[/tex]
we know that
The denominator cannot be equal to zero
[tex]y^2-2y=0\\y^2=2y\\y=2[/tex]
so
The value of y cannot be equal to 0 or 2
The domain for y is all real numbers except the number 0 and 2
The domain in interval notation is
(-∞,0) ∪ (0,2) (2,∞)
Part 3) we have
[tex]\frac{y}{y-6}+\frac{15}{y+6}[/tex]
we know that
The denominator cannot be equal to zero
so
The value of y cannot be equal to 6 or cannot be equal to -6
The domain for y is all real numbers except the number -6 and the number 6
The domain in interval notation is
(-∞,-6) ∪ (-6,6) ∪ (6,∞)
A metal stud for a warrior costume is in the shape of a square pyramid. The stud does not have a base.
how much metal is needed to make the stud?
Answer:
D
Step-by-step explanation:
find the missing value in the ratio table. towels 14, 7, ? , blankets 8, ?, 16
Final answer:
The missing value in the ratio table is 16.
Explanation:
To find the missing value in the ratio table, we can look at the relationship between the given values. In this case, we have the ratios of towels to blankets. We can see that the ratio of towels to blankets is the same for each pair of values. So, we need to find a value that, when divided by 8, gives the same result as when 14 is divided by 7.
Let x be the missing value. We can set up the equation 14/7 = x/8. To solve for x, we can cross multiply: 14 * 8 = 7 * x. This gives us 112 = 7x. Dividing both sides by 7, we find that x = 16.
Therefore, the missing value in the ratio table is 16.
A chemist has a 30% and a 45% acid solution. What amount of each solution should be used to make 500ml of solution with 35% acidity?
A) 133
1
3
ml of 30% solution and 366
2
3
ml of 45% solution
B) 250 ml of each solution
C) 333
1
3
ml 30% solution and 166
2
3
ml of 45% solution
D) 400 ml of 30% solution and 100 ml of 45% solution
Answer:
The correct answer is 333 1/ 3 ml 30% solution and 166 2/ 3 ml of 45% solution.
step-by-step explanation:
Set up 2 equations. Let x be the 30% solution and y be the 45% solution. Then you have x + y =500 and .3x +.45y = .35*500. Then solve the system.
Answer:
A is your correct answer.
Step-by-step explanation:
how do i simplify 5 √640
y=2x+3
y=−3x+3
What is the solution
Final answer:
The solution to the given system of equations is x=3 and x=-7. To find the solution, set the expressions for y equal to each other, combine like terms, and solve for x. Substitute the values of x back into one of the original equations to find the corresponding y value.
Explanation:
The solution to the given system of equations is x = 3 and x = -7.
To find the solution, we can set the expressions for y equal to each other:
2x + 3 = -3x + 3
Combine like terms:
5x = 0
Divide both sides by 5:
x = 0/5
x = 0
Substitute x = 0 back into either of the original equations to find the corresponding y value:
y = 2(0) + 3
y = 0 + 3
y = 3
The solution to the system of equations is (0, 3).