The cost of 2 orders of fries and 4 drinks is $5.68 and the cost to get f orders of fries and d drinks is $0.92f+0.96d
What is unit rate?When something is calculated on its one unit, then it is called its unit rate. for example: If 5 mangoes is of $50 then cost of 1 mango is 50/5 = 10 here $10 is unit rate for mangoes.
Given that, At the fast food restaurant, an order of fries costs $0.92 and a drink costs $0.96.
We have here unit rates of fries and drinks,
So, when 1 pack of fries costs $0.92, then cost of 2 pack of fries = 2×0.92 = $1.84
Similarly, when 1 drink costs $0.96, then the cost of 4 drinks = 4×0.96 = $3.84
Total cost = $5.68
Similarly, the cost to get f orders of fries = $0.92f
And, the cost of d drinks = $0.96d
Total cost = $0.92f+0.96d
Hence, we get the answer as = a) $5.68 and b) $0.92f+0.96d
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You can have a sandwich with rye, wheat, or white bread and containing either
roast beef, turkey, tuna, or ham. What is the probability of getting a tuna
bread sandwich? (reduce fraction)
wheat
and
a. 5/12
b. 1/12
c. 1/2
d. 2/12
Answer:
b. 1/12
Step-by-step explanation:
There are 3 choices for the type of bread and 4 choices for the type of filling, for a total of 3*4=12 possible sandwiches. If you are only interested in sandwiches made with tuna filling, then there are 3 choices for the type of bread (rye, wheat, or white) that the sandwich can be made with. Therefore, the probability of getting a tuna sandwich on any type of bread is 3/12=1/4. The probability of getting a tuna sandwich on wheat bread specifically is 1/4, so the answer is b. 1/12.
Brayden has 7/8 of a candy
bar. He wants to split the
bar into servings that are
3/10 of the bar. How many
servings can he make?
When 7/8 of the candy bar is split into 3/10 of the bar, the candy bar can make around 2 servings.
What are fractions?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
Given that there is 7/8 of the candy bar. The bar is needed to be further divided into 3/10 of the bar, this can be calculated as follows:
[tex]\frac{\frac{7}{8} }{\frac{3}{10} } = \frac{7}{8} * \frac{10}{3} = 2.91[/tex]
Hence, we can make 2 serving of the required amount, with an extra piece for third serving. Since, the third serving will not be exactly of the required amount it is not counted.
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I need help what’s the answer to this
Answer:
C
Step-by-step explanation:
im in college ik whats good
please help i will mark you brainliest
Answer:
y = 2x + 1
explanation:
y = mx + b
y = 2x + b
y = 2x + b
7 = 2*3 + b [Plugged in 3 for x and 7 for y]
7 = 6 + b
1 = b
Answer: (3,7)Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.
y=7
Step-by-step explanation:
What is this expression in simplified form?
2/135*6 - 3√15*6
A. 9x³√10
OB. 8³/30
C. 119³√15
D. 3x³√15
8³/30 is the expression in simplified form of 2/135*6 - 3√15*6.
What is simplified form?The simplest form of a fraction is one with a relatively prime numerator and denominator. It indicates that, other than 1, there is no common factor between the fraction's numerator (upper part or top) and denominator (lower part or bottom).
The reduced form of a fraction is another name for its simplest form. For instance, the simplest form of a fraction with a common factor of 1 is 3/4 However, because 2/4 can be further condensed and written as 1/2, it is not the simplest form. In this case, we can also state that 1/2 and 2/4 are equivalent fractions.
Given to find the expression in simplified form
2/135 *6 - 3√15 *6
6(2/135-3√15)
6(2/3√15-3√15)
6(2/3√15×3√15 - 3√15/ 3√15)
6(2×3√15/135- 3√15/1)
6(2×3√15/3√15- 3√15/1)
6(2- 3√15)
8³/30
Thus, 8³/30 is the expression in simplified form of 2/135*6 - 3√15*6.
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ln x - ln 2 = ln 3- ln (x+1) find the value of x
Answer:
x = 2
Step-by-step explanation:
using the properties of logarithms
• logx - logy = log ([tex]\frac{x}{y}[/tex] )
• loga = log b ⇒ a = b
given
ln x - ln 2 = ln 3 - ln(x + 1)
ln ([tex]\frac{x}{2}[/tex] ) = ln( [tex]\frac{3}{x+1}[/tex] )
[tex]\frac{x}{2}[/tex] = [tex]\frac{3}{x+1}[/tex] ( cross- multiply )
x(x + 1) = 6
x² + x = 6 ( subtract 6 from both sides )
x² + x - 6 = 0 ← in standard form
(x + 3)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = 0 3
x - 2 = 0 ⇒ x = 2
but x > 0 , then x = 2
Consider the function
p
(
t
)
=
5
t
−
t
2
, which represents the height, in feet, of a projectile
t
seconds after being launched.
The function with which the projectile is moving is P(t) = 5t - t², where P(t) represent the height and t represent the time.
For t > 5 the value of P(t) will be negative , but distance travelled can not be negative.
an expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences. The modern definition of function was first proposed in 1837 by the German mathematician Peter Dirichlet:
A variable y is said to be a function of the independent variable x if there is a correlation between them such that a rule determines a particular value of y whenever a numerical value is assigned to x.
The function is P(t) = 5t - t²
here for t > 5 the value of P(t) will be negetive , but distance travelled can not be negetive.
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Complete question--
Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.
The area of the shaded region ECODF is given by 8√2 - 4 - π units and rounding it to the nearest tenth we get, 4.2 units.
From the given diagram we can deduce that -
Area(ECODF) = Area(ABFE) − Area(OAC) − Area(OBD) − Area(CAE)− Area(DBF)
OA = OB = 2√2
⟹AB = EF = 4√2
AE = BF = 2
Area(ABFE) =2 × 4√2 = 8√2
Now, AC = BD =2
OC = OD = [tex]\sqrt{(2\sqrt{2})^{2} - 2^{2}}[/tex]
=√(8−4)
= √4
= 2
Area(OAC) = Area(OBD) = 12 × 2 × 2 = 2
Triangles OAC and OBD are isosceles right triangles:
∠OAC = ∠OBD = 45°
Sectors CAO and DBF have central angles:
∠CAE = ∠DBF = 90° − 45° = 45°
Area(CAE) = Area(DBF) = 45/360 × π(2^2) = π/2
hence, the area of region ECODF is given by -
Area(ECODF) = 8√2 - 2(2) - 2(π/2)
Area(ECODF) = 8√2 - 4 - π
and rounding it to the nearest tenth we get, 4.2 units.
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The complete question is -
Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.
Evaluate the expression for x= 4 and y =2
Answer:
9
Step-by-step explanation:
(2² x ² / xy²) ²
x=3 y=2
9
I don't know is it correct or not
The following table gives you the distribution of marks secured by some students in anexamination. 0-20 21-30 31-40 41-50 51-60 61-70 71-80 no of students: 42 38 120 84 48 36 32 Find (i) the percentage of failures, if the minimum for a pass is 35 marks. (Ans. 40.5 and 30.5)
The percentage of failures, if the minimum for a pass is 35 marks, is given as follows:
80%.
How to obtain a percentage?A percentage is obtained applying a proportion, as the percentage is given by the division of the number of desired outcomes by the number of total outcomes, and then multiplied by 100%.
The total number of students is given as follows:
42 + 38 + 120 + 84 + 48 + 36 + 32 = 400.
The minimum grade for a pass is of 35 marks, hence, considering all the measures in the 31-40 range as passing, the number of students that passed is given as follows:
120 + 84 + 48 + 36 + 32 = 320.
Hence the percentage of students that passed is given as follows:
P = 320/400 x 100% = 0.8 x 100% = 80%.
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Give the name (monomial, binomial,
trinomial, etc.) and the degree of the
polynomial.
3x² - x
Name? [?]
Degree? [ ]
Answer:
Name? Binomial
Degree? 2nd
Step-by-step explanation:
We are given two terms which are 3x² and -x. This makes the polynomial a binomial (because bi- means two). Additionally, the leading degree of the polynomial is 2 because that is the greatest exponent in the expression, so it's a second-degree binomial.
jan has 12 ounces milkshakes four ounces in the milkshake are vanilla and the rest is chocolate what are 2 equivalent fractions that represents the fraction of the milkshake that is vanilla
Answer:
4/12, 1/3, 10/30
Step-by-step explanation:
Jan has 12 ounces milkshakes. Four ounces in the milkshake are vanilla and the rest is chocolate. What are 2 equivalent fractions that represent the fraction of the milkshake that is vanilla?
Total in 1 milkshake: 12 oz
Vanilla: 4 oz
Chocolate: 8 oz (12 oz - 4 oz = 8 oz)
The vanilla fraction is
4/12
Reduce 4/12 by dividing the numerator and denominator by 4:
1/3
Multiply the numerator and denominator by 10:
10/30
Here are 3 equivalent fractions of the fraction of vanilla:
4/12, 1/3, 10/30
11. Conner earned these scores on the first three tests in science this term: 86, 88, and 78. What is the lowest score that Conner can earn on the fourth and final test of the term if he wants to have an average of at least 83? Inequality: Solution: Sentence:
Answer:%80
Step-by-step explanation: take 83 x 4 (4 being the total number of test) and you get 332, then take the 332 and subtract the current test score (78,88,86). Finally you have your answer, %80
Answer:
He must have a score of 80 or higher.
Step-by-step explanation:
[tex]\frac{86+88+78+x}{4}[/tex] [tex]\geq[/tex] 83
[tex]\frac{252 +x}{4}[/tex] ≥ 83 Multiply both sides by 4
252 + x [tex]\geq[/tex] 332 Subtract 252 from both sides
x [tex]\geq[/tex] 80
finding the inverse algebraically
A function's inverse will result in the input and output being in opposite directions. Set the function equal to y in order to use algebra to discover the inverse of the function. After that, switch x and y and find y in terms of x.
What does the algebraic concept of inversely mean?Inverse operations are those that are the exact opposite of one another. For instance, division is related to the operation of multiplication, and subtraction is the related to operation of addition.
What is an inverse calculation?Therefore, in mathematics, an inverse operation is an operation that reverses the effects of a preceding operation The term "inverse operations" refers to a collection of two opposing operations. As an illustration: The result of adding 5 and 2 pens is 7 pens. Now
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Which represents the inverse of the function f(x) = 4x?
O h(x) = x + 4
O h(x) = x- 4
O h(x) = x
h(x)= #x
N
The inverse of the function f(x) = 4x is:
h(x) = 4/x
Which one is the inverse of f(x)?
Two functions f(x) and g(x) are inverses if:
f( g(x)) = x
g( f(x)) = x
Here we want to find the inverse of the function:
f(x) = 4x
So let's assume that h(x) is the inverse, then the composition must be equal to x:
f(h(x)) = 4*h(x) = x
Now we can solve that for h(x), then we will get:
h(x) = x/4
That is the inverse of function f(x).
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If Angle BTS Angle GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, mangle S = 56°, mangleB = 21°, and
mangleH= (7y + 5), find the values of x and y.
daisy started a seashell collection she started with 10 seashells and gets 2 new ones each month. daisy wants to be able to predict the total number of seashells in her collection, y, over x months. which function rule models her seashell collection?
1. f(x)=12x
2. f(x)=10x+2
3. f(x)=2(x-10)
4. f(x)=2x+10
Answer:
the correct option is option 4 hope it helps
In a public opinion servey, 60 out of a sample of 70 high income voters and 90 out of a sample of 100 low income voters supported the introduction of a new national security tax
The group that has a higher percentage is the low income voters.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
In this case, 60 out of a sample of 70 high income voters. The percentage will be:
= 60/70 × 100.
= 85.7%
Also, 90 out of a sample of 100 low income voters supported the introduction of a new national security tax. The percentage will be:
= 90/100 × 100
= 90%
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Complete question
In a public opinion servey, 60 out of a sample of 70 high income voters and 90 out of a sample of 100 low income voters supported the introduction of a new national security tax. Who has a higher percentage?
5. What is the inverse of the following statement:
If a rectangle has four congruent sides, then it is a square.
Answer: a rectangle does not have 4 congruent sides unless it's a square.
Step-by-step explanation:
a rectangle does not have 4 congruent sides unless it's a square.
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
-6
42
6
4
2-
&
-4
Гу
6
2 A
6
X
Which statement about the function is true?
The function is increasing for all real values of x
where
x < 0.
The function is increasing for all real values of x
where
x<-1 and where x > 4.
The function is decreasing for all real values of x
where
-1
The function is decreasing for all real values of x
where
x < 1.5.
The function is decreasing for all real values of x where x < 1.5. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the function f(x) = (x - 4)(x + 1) is shown below.
The vertex of the function is calculated as,
f(x) = (x - 4)(x + 1)
f(x) = x² - 3x + 9/4 - 9/4 - 4
f(x) = (x - 1.5) - 6.25
The vertex of the function will be at (1.5, 6.25).
The function is decreasing for all real values of x where x < 1.5. Then the correct option is D.
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Some people are made to share an amount of GH¢40.00. If 140 people received a share , How mach did each person receive?
By taking a quotient, we will see that each one of the 140 people got GH¢0.67
How much did each person receive?We know that some people wants to divide equally the amount of GH¢40.00 between a total of 140 people, then we only need to take the quotient:
GH¢40.00/140
Assuming you can't use a calculator, the division is as follows:
40/140 (i removed the units so it is easier to read)
We can simplify the fraction as:
40/140 = 4/14
4/14 = 2/7
Now we could say that each person got GH¢ 2/7
Or write that fraction as 2/7 = 0.67
Each person got GH¢0.67
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Asha made a profit of Rs.395 on a pen she sold for Rs. 6235. At what price did she buy it?
Answer:
She bought it at Rs.6140
When an independent variable in a multiple regression model includes a value of X to a higher power, such as X squared, and this model produces a higher value of R-squared than a linear model, this suggests that the residual plot for the linear equation did not produce a random pattern around the zero line of the residual plot.
True or False
The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data
1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.
2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.
3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.
4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.
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1) Julia drives 10 km due west of her home. Then she heads 15 km south. What is the total distance that she has travelled from his house?
2) In a right angle triangle, the side adjacent to the 250 angle is 15 cm long. What is the length of the side opposite the 250 angle to the nearest centimeter?
HELP PLEASE:?
1. If Julia drives 10 km due west of her home. the total distance that she has travelled from his house is 18.02 km.
2. The length of the side opposite the 250 angle to the nearest is-60.41.
How to find the distance and the length?1. Total Distance
Pythagorean theorem
D²= a² + b²
D² = 10² + 15²
D²= 100+225
D = √325
D = 18.02 km
2. Length
tan(250) = side opp/side adj
Side opp = 15×tan(250)
Side opp = 15× (-4.02728264508)
Side opp = -60.41
Therefore the distance is 18.02 km and the length is -60.41.
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If two cones have their heights in the ratio 1:3 and radii 3:1, then the ratio of their volumes is:
A.1:3
B.3:1
C.2:3
D.3:2
B. If two cones have their heights in the ratio 1:3 and radii 3:1, then the ratio of their volumes is 3:1.
This can be determined by using the formula for the volume of a cone, V = (1/3)πr^2h, where r is the radius and h is the height. Since the ratio of the height is 1:3 and the ratio of the radii is 3:1, the ratio of the volumes is 3:1.
To calculate this, we can set up two equations:
V1 = (1/3)πr1^2h1 and
V2 = (1/3)πr2^2h2.
Since the ratio of the height is 1:3, we can set h1=3h2. Substituting this into the equation for V2 and solving for V2/V1, we get
V2/V1 = (r2/r1)^2*(h2/h1).
Since the ratio of the radii is 3:1, we can set r2/r1=3. Substituting this into the equation and simplifying, we get V2/V1 = 3^2*(h2/h1), which is equal to 3^2*1/3=3, which is the same as the ratio of the radii, 3:1. Therefore, the ratio of the volumes is 3:1.
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The linear function, along with the line representing the run and the line representing the line, is given on the graph presented at the end of the answer.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope, representing the division of the rise of the function by the run of the function.b is the y-intercept, representing the value assumed by the linear function when x assumes a value of zero.Two points of the function graphed are given as follows:
(0,2) and (1,-1).
When x = 0, y = 2, hence the intercept b is given as follows:
b = 2.
The rise of the function is given by the change in the output, hence:
-1 - 2 = -3.
The run of the function is given by the change in the input, hence:
1 - 0 = 1.
Then the slope is of:
m = -3/1.
m = -3.
The function is defined as follows:
y = -3x + 2.
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A conveyor belt is producing batteries. The probability of producing a faulty battery is 0.02. Prior to being sold, every battery is submitted to quality control. The probability that the quality control correctly identifies a given faulty battery as faulty is 0.97. The probability that the quality control accidentally declares a working battery faulty is equal to 0.02. Find the probability that a battery is declared faulty by the quality control team.
It is estimated that there is a 0.039 percent chance that a battery may be deemed defective by the quality control team.
What is the probability?Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct.
A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.
Let's call the probability that a battery is faulty "F" and the probability that it is declared faulty by the quality control team "D." We can then use the following formula to find the probability that a battery is declared faulty:
P(D|F) * P(F) + P(D|not F) * P(not F)
Substituting in the given values, we get:
(0.97 * 0.02) + (0.02 * 0.98) = 0.039
So, the probability that a battery is declared faulty by the quality control team is approximately 0.039
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hey yall i need help
Multiply 4.8x and 4x. 19.2x 19.2x2 8.8x 8.8x2
Answer:
[tex]19.2x^{2}[/tex]
Step-by-step explanation:
4.8x * 4x (Since we are multiplying to bases with the same variable, we have an exponent of 2)[tex]19.2x^{2}[/tex] (Now, you simply just multiply and you get 19.2x squared)Hope this helped! :D
Evaluate the expression, given functions f , and g :
f(x) =7x−4
g(x) =11−x2
3f(1)−4g(−2)=
Number
The solution of the function 3f(1) - 4g(-2) is -19.
How to solve functions?The functions can be solved as follows;
f(x) = 7x - 4
g(x) = 11 - x²
Therefore, let's solve the composite function as follows:
A composite function is generally a function that is written inside another function.
Hence,
3f(1) - 4g(-2) = ?
f(1) = 7(1) - 4 = 7 - 4 = 3
g(-2) = 11 - (-2)² = 11 - 4 = 7
Therefore,
3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19
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