Therefore ,As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.
Define equation .A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.
Here,
Let the price of a soft taco be set at s.
Let b be the price for one burrito.
Therefore, we have this system.
3s + 3b = 11.25
4s + 2b = 10.00 (1) (1)
By multiplying the first equation by 3, we get that.
If s + b = 3.75, take b off of both sides.
s = 3.75 - b (2) (2)
Subtract (2) from (1) and you get
Simplify 4 (3.75 - b) + 2 b = 10.00.
15 - 4b + 2b = 10.00
Subtract 15 from both sides (-2b + 15 = 10) to get the total.
Divide both sides by -2 to get -2b = - 5.00.
b = 2.50
as well as (2)
s = 3.75 - 2.50 = 1.50
As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.
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what is the rate of decay f(x)=(.8)^x
9th grade AP algebra
The provided function, f(x)=(.8)^x, has a 20% rate of decay.
What is the Rate of decay or growth?
A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.
given, a function f(x)=(.8)^x. To calculate the decay rate of this function.
The exponential decay formula aids in determining the exponential drop, which is a rapid reduction over time. To calculate population decay, half-life, radioactivity decay, and other phenomena, one uses the exponential decay formula. F(x) = a (1 - r)x is the general form.
Where
a = the initial amount
1-r is the decay factor
x = time span
from the given expression,
Decay factor = 0.8
That is also equal to 1 - r
1 - r = 0.8
r =0.2
Thus, rate of decay = r * 100%
rate of decay = 0.2 * 100 = 20%
therefore, The rate of the of the given function f(x)=(.8)^x is 20%.
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what is 13 divided by 12
Answer:
1.0833333333333333333333333333333333 (repeats)
Step-by-step explanation:
use a calculator
Box A is 12 inches by 18 inches by 24 inches. Box B is 12 inches by 12 inches by 30 inches. How much greater is the volume of Box A? A. 5184 in³ B. 4320 in³ C. 864 in³ D. 576 in³
5. There are 42 teachers who work in a school. On Monday, 29 teachers were present. What percentage of the teachers showed up for work?
Answer:
69%
Step-by-step explanation:
There are 42 teachers who work in a school. On Monday, 29 teachers were present. The percentage of the teachers that showed up for work will be:
= 29 / 42 × 100
= 69%
Answer:
Step-by-step explanation:
In any case where you're asked, "what percentage of A is B?" you can simply divide the number B by the A. The decimal you get is the answer. for example, if you're being asked what percentage 12 is of 25, you just divide 12 by 25 to get 0.48, which translates to 48 percent. in your case, 29/42 is 0.69 (rounded down from 0.6904761905) which equals 69%.
In a case where B is larger than A, you still do the same, only with the addition of the whole number. Ex: what percentage of 25 is 86?
86/25 is 3.44, so your answer is 344%.
Hope this helped :)
Consider the expression.
2x (x + 3y) +5 (2x - 2)
How many terms does the expression have when simplified completely?
When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.
Consider given expression.
2x (x + 3y) +5 (2x - 2)
We simplify above expression.
2x (x + 3y) +5 (2x - 2)
= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)] ......(distributive property)
= [2x² + (2 × 3)xy] + [(5×2)x - 10] ............(commutative property)
= (2x² + 6xy) + (10x - 10)
= 2x² + 6xy + 10x - 10
= 2x² + 10x + 6xy - 10 ...........(by commutative property of addition)
when given expression simplified completely then it would be,
2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10
The number of terms in an expression 2x² + 10x + 6xy - 10 are 4
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Mason has 2 1/2 cups of peanut
butter. He is making peanut butter
sandwiches. If he uses 1/8cup of
peanut butter in each sandwich,
how many sandwiches can he
make?
Help
Answer:
Mason can make 20 sandwiches.
Step-by-step explanation:
2 1/2 ÷ 1/8 = 20What is the length of the missing leg (in millimeters)
Answer:6
Step-by-step explanation:
What is the general formula for Logarithms?
The general formula for logarithms is [tex]log_b(x) = y[/tex].
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x) = log_b(x),[/tex] where b is the base of the logarithm.
The general formula for logarithms is:
[tex]log_b(x) = y[/tex]
This means that b raised to the power of y is equal to x.
Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.
Hence, the general formula for logarithms is [tex]log_b(x) = y[/tex].
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The general formula for logarithms is [tex]log_b(x)=y[/tex].
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x)=log_b(x)[/tex] where b is the base of the logarithm.
The general formula for logarithms is:
[tex]log_b(x)=y[/tex]
This means that b raised to the power of y is equal to x.
Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.
Hence, the general formula for logarithms is [tex]log_b(x)=y[/tex].
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mrs blackwell put 4 2/3 grams on the scale during a lab in science class. then, she added 2 5/6 grams to the scale. how many grams are on the scale in all
There are [tex]7\frac{1}2}[/tex] grams on the scale in all once she added 2 5/6 grams to the scale.
What is the International System of Units (SI)?The International System of Units (SI) is the modern form of the metric system and is the most widely used measurement system in the world. It consists of seven basic units of seven basic quantities.
Length is the meter, mass is the kilogram, time is the second, electric current is the ampere, temperature is the kelvin, amount of matter is the mole, and luminosity is the cand. SI also includes derived units such as Newton (force) and Pascal (pressure), which are combinations of base units. SI is the standard measurement system in most countries around the world and is used in scientific, engineering, and commercial applications.
Given,
initial weight = [tex]4\frac{2}{3} = \frac{14}{3}[/tex]
Final weight = [tex]2\frac{5}{6} = \frac{17}{6}[/tex]
Final weight = [tex]\frac{14}{3} + \frac{17}{6} = \frac{45}{6} = \frac{15}{2} = 7\frac{1}{2}[/tex]
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Which of the costs listed below is not an example of a cost that would be
apportioned?
A. Electricity
B. Regional manager's fuel
C. Warehouse space
D. Office supplies
Answer: the answer is B
Step-by-step explanation: regional managers fuel
Answer:
B. Regional manager's fuel
Step-by-step explanation:
Just did test
What is the measure of ABC?
A 44°
B 88°
C 176°
D 92°
Answer: C) 44 degrees
Step-by-step explanation:
44
A jacket normally sells for $27.50.it is on sale for 20%what is the new price
Answer:
$22
Step-by-step explanation:
27.50 20 present off so you get 5.5 substract and u get 22
3y+2=2y-5x into y=mx+b form
3y + 2 = 2y - 5x
3y - 2y = -5x -2
y = -5x - 2
yall im thinking A or B but can someone help?
does 27, 18, and 7 form a right triangle?
Answer:
No
Step-by-step explanation:
If you use the Pythagorean theorem:
sqrt (7^2+18^2)= sqrt 373 and 27^2 does not equal to 373
Answer:
No
Step-by-step explanation:
A right triangle is exactly 90 degrees and 27, 18, and 17 equal less than 90 so it does not equal a right triangle.
What is the perimeter of ^AEB? 16.4 ft 18.5 ft 18.7 ft 22.9 ft
The perimeter of ΔAEB is 18.5 feet.
What is Triangle Proportionality theorem?A triangle's other two sides are divided in the same proportion if a line drawn parallel to either one of its sides intersects the other two sides at two different spots.
As, side AB║DF hence we will use Triangle Proportionality theorem to calculate the length of side AE.
Since, AE/AD = EB/ BF
AE/2 = 7.2/8.4
AE = 6.5 feet
So, the perimeter of ΔAEB is
= AE + EB + BE
=6.5+4.2+7.8
=18.5 ft.
Hence, the perimeter is 18.5 feet.
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Write 63/90 and 30/42 as fraction In simplest form then determine whether the ratio form a proportion
Answer:
7/10 and 5/7 the ratio does not form a proportion
5/9 (y+3)=40 I need help to solve this it’s in algebra
Answer:
= 69
Step-by-step explanation:
Combine multiplied terms into a single fraction, Distribute, then Multiply all terms by the same value to eliminate fraction denominators.
1) 5/9 ( y + 3 ) = 40 or 5(y + 3) / 9 = 40
2) 5y + 15 / 9 = 40
3) 9 ( 5y + 15 / 9) = 9 40
can someone help me
Identify the slope and y-intercept of the equation below.
-9y = 8x + 27
Answer:
the y-intercept is 27 sorry thats all i know but i belive the slope would be 9/8
Step-by-step explanation:
Answer:
y = m x + b
y= -8/9x -3
Step-by-step explanation:
The table shows the balances of two bank accounts for 3 months. In what month will the balance of account A be equal to the balance of account B?
As per Given data,
The month in which the balance of two bank accounts A is become equal to the balance of account B is 30thmonths,
How to find unknown values?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
Month Account A Account B
0 $ 100 $ 250
1 $ 125 $ 270
2 $ 150 $ 290
Clearly
The amount in account A is growing with $25 each month. Thus, the amount in this account in nth month is,
100+25[tex]n[/tex]
The amount in account B is just growing with $20. Thus, the amount in this account in nth month is,
250+20[tex]n[/tex]
x month
balances of two
account becomes equal,
then
100 + 25x =250 + 20x
25x - 20x = 250 - 100
5x = 150
x =30
Therefore, in 30th month balance of account A equal to balance of account B
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Q. The table shows the balances of two bank accounts for 3 months. In 30th month will the balance of account A be equal to the balance of account B?
Month Account A Account B
0 $100 $250
1 $125 $270
2 $150 $290
Please someone help me it’s due tomorrow
Answer:
Step-by-step explanation:
8) D
9) B
someone please please help !
Answer:
50.3
Step-by-step explanation:
[tex]\pi {r}^{2} \times h[/tex]
[tex]4\pi \times 4 = 50.3[/tex]
4 12. DISCUSS MATHEMATICAL THINKING Recall that a perfect square is a number with integers as its
square roots. Is the product of two perfect squares always a perfect square? Is the quotient of two
perfect squares always a perfect square? Explain your reasoning.
Please help will give Brain liest
Yes the product of two perfect squares is always a perfect square, But the quotient of two perfect squares is not always a perfect square.
What is perfect square?A perfect square is a number that can be expressed as the product of an integer multiplied by itself.
Examples of perfect squares include 4 (2*2), 9 (3*3), and 25 (5*5).
What is quotient of a number?The quotient is the result obtained after performing division of one number by another. It is the number of times that the divisor can be subtracted from the dividend until the remainder is smaller than the divisor.
The product of two perfect squares is always a perfect square because the root of the products is equal to the product of roots as shown below,
let us take the two perfect squares 4 and 9, so the square root of 4*9 is,
[tex]\sqrt{4*9} =\sqrt{4} *\sqrt{9} \ =2*3=6[/tex]
But , the quotient of two perfect squares is a perfect square,
When we divide two perfect squares we are not always going to get a quotient that can be represented as the square of an integer. For example, (36/16) = 9/4 which is not a perfect square.
However, if the numerator and denominator in the quotient are the same perfect square then the quotient will be 1 which is a perfect square.
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200 Litres of a punch that contains 35% fruit juice is mixed with 300 L of another punch. The resulting fruit
punch is 20% fruit juice. Find the percent of fruit juice in the 300L of punch.
Please help me, (with show of math)
Yes, because as x increases, y increases and because all of the pairs represent the same ratio.
What does it mean when a ratio is proportional?When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.
If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.
Yes, because as x increases, y increases.
Yes, because all of the pairs represent the same ratio.
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What is the product 4y 3 )( 2y^2 3y 5?
The product for the given polynomial is [tex]8y^5 + 6y^4 + 20y^3.[/tex]
When multiplying two polynomials, it is important to keep track of the exponents of each term. The exponents will determine the degree of the resulting polynomial. To find the product, you multiply each term of the first polynomial by each term of the second polynomial, then combine like terms.
In this case, the first polynomial is 4y^3 and the second polynomial is 2y^2 3y 5. To find the product, you would multiply 4y^3 by 2y^2, 4y^3 by 3y, and 4y^3 by 5. This would give you 8y^5, 12y^4, and 20y^3. Since these are the only terms in the product, you simply add them together to get the final answer of [tex]8y^5 + 6y^4 + 20y^3.[/tex]
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Which right triangular prism has the greatest volume?
A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters.
A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters.
A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters.
A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.
Please Answer ASAP!
Answer:
B
Step-by-step explanation:
Find the value of x. Assume that segments that appear to be tangent are tangent.
Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.
what is Pythagoras theorem ?The Pythagorean Theorem, often referred as the Mathematics, is the fundamental Euclidean geometry relationship among the three sides of a right triangle. The area of a squares with the equilateral triangles side is the sum of the surfaces of square with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebra notation a2 + b2 = c2.
given
14 is tangent to the circle and 9 is a radius, making this a right triangle.
In order to resolve this issue, we can employ the Pythagorean theorem.
a^2 +b^2 =c^2
9^2+14^2 =x^2
81+196 = x^2
277 = x^2
Taking the square root of each side
sqrt(277) = sqrt(x^2)
sqrt(277) =x
Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.
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Kassidy charges a flat rate for mowing yards in her neighborhood, shown on the graph below.
Answer: Fri: 87.5
Sat: 105
Sun: 52.5
Total: 245
Step-by-step explanation: You multiply each lawn she mowed by 17.5
Beth's class party was held in a steamboat on a local lake. The steamboat made a circuit of the lake at a constant rate of 16 mph. It traveled a total of 40 mi. around the lake. How long did the trip on the steamboat last?
(A) 2.5 hr.
(B) 3 hr
.
(C) 4.2 hr.
(D) 5 hr.
Answer:
A
Step-by-step explanation:
2.5 x 16 = 40
What is the HCF of the polynomials x6 3x4 3x^2 1 and x^3 3x^2 3x 1?
The HCF of the polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1 is 1
When we divide the polynomials f(x) / g(x) then we get f(x) = g(x) × q(x) + r(x). Assuming the degree of g(x) > degree of r(x).
If the remainder r(x) is zero, then q(x) is the highest common factor of polynomials.
Here, we have been given two polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1
Let f(x) = x^6 + 3x^4 + 3x^2 + 1 and g(x) = x^3 + 3x^2 + 3x + 1
We can write these polynomials as:
f(x) = x^6 + 3x^4 + 3x^2 + 1
f(x) = (x² + 1)^3
The factors of polynomial f(x) = x^6 + 3x^4 + 3x^2 + 1: 1 and (x² + 1)^3
And g(x) = x^3 + 3x^2 + 3x + 1
g(x) = (x + 1)^3
And the factors of g(x) = x^3 + 3x^2 + 3x + 1 : (x + 1)^3 and 1
Therefore, the HCF of the polynomials f(x) and g(x) = 1
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