Answer:
17:16
Step-by-step explanation:
12 ft = 144 inches, so this is
153 in : 144 in
= 9·17 : 9·16
= 17 : 16
5c + 2a − b; a = 5, b = 11, and c = 3
The value of the expression 5c + 2a − b at a = 5, b = 11, and c = 3 will be 14.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 5c + 2a − b
The value of the expression 5c + 2a − b at a = 5, b = 11, and c = 3 will be given as,
⇒ 5c + 2a − b
⇒ 5 x 3 + 2 x 5 − 11
Simplify the expression, then we have
⇒ 5 x 3 + 2 x 5 − 11
⇒ 15 + 10 − 11
⇒ 25 − 11
⇒ 14
The worth of the articulation 5c + 2a − b at a = 5, b = 11, and c = 3 will be 14.
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations. graph of line going through ordered pairs (0, 300) and (450, 0)
Which equation shows how the properties of numbers extend to negative whole numbers by the commutative property of addition?
A) -2 + 4 = 4 + (-2)
B) -2(4) = 4(-2)
C) (-2 + 4) + 3 = -2 + (4+3)
D) -2(4+3) = (-2 x 4) + (-2 x 3)
Please help!
Think of a number, divide it by 5 and then add 27 to the result. The resulting number is half of the original number. What was the original number?
(Answer with work please)
a car cost $25000 plus $675 for tax, title, and license fees. Ari finances the car by putting down $2,500 in cash and taking out a 3-year, 4% loan. what will his monthly payments be (if figured across all 3 years rather than annually)?
thomas earned $80 plus 10% of his sales for a net of $132. How much were his sales?
subtract base pay ( $80) from total pay
132-80 = 52
divide 52 by 10% for total sales = 52/0.1 = 520
his sales were $520
Answer:
Sales amount is $520 .
Step-by-step explanation:
Let us assume that the sales amount be x .
As given
Thomas earned $80 plus 10% of his sales for a net of $132.
10% is written in the decimal form
[tex]= \frac{10}{100}[/tex]
= 0.10
Thus
Total Earned amount = Earned amount + 0.10 × Sales amount
Put all the values in the above
132 = 80 + 0.10 × x
132 - 80 = 0.10x
52 = 0.10x
[tex]x = \frac{52}{0.10}[/tex]
x = $520
Therefore the sales amount is $520 .
Carla and Ross competed in the long-jump at a track meet. Carla jumped 3.5 meters. Ross jumped 99 inches. Who jumped farther and by approximately how many feet? Use 1 m = 3.27 ft. Explain how you solved this problem.
Find the three consecutive integers whose sum is 171
171 / 3 = 57
56 + 57 +58 = 171
the 3 numbers are 56, 57 & 58
Which of these r-value represent the strongest correlation-0.7, -0.6, -0.5, -0.8
A number is one seventh of another number the difference of the number is 18 assume u are subtracting the smaller number from the other number
I don't understand how 251/4 divided by (-3/8)= -502/3
Using the PEMDAS rule, the correct result is -502/3.
We have,
Using the order of operations (PEMDAS) and simplifying the fractions, we have:
251/4 ÷ (-3/8)
= 251/4 × (-8/3) (since dividing by a fraction is the same as multiplying by its reciprocal)
= -502/3
Therefore,
The correct result is -502/3.
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bo has 23 video games for sale he plans to donate the money he makes from each sale to a local charity what is the least amount of money in whole dollars bo should charge for each game in order to raise 100$
Answer: $5
Step-by-step explanation:
Let x be the least charge for each video game.
Given : Total games for sale =23
The required minimum amount needed to raise by selling video games =$100
Then the required inequality:
Total games × x ≥ Required minimum amount
i.e. [tex]23x\geq100[/tex]
Divide 23 from both sides , we get
[tex]x\geq 4.34782608696\approx5[/tex]
Hence, Bo should Charge $5 for each game in order to raise 100$.
What is the equation of this line in standard form? −6x+11y=13 −6x+7y=−17 −6x+11y=−13 −11x+6y=−13 Number graph that ranges from negative five to five on the x and y axes. A line passes through the labeled points begin ordered pair negative four comma negative one end ordered pair and begin ordered pair one and begin fraction one-half end fraction comma, two end ordered pair
Answer:
What is the equation of this line in standard form?
6x−11y=−13
is the answer
Use cross products to determine whether the points a, b, and c are collinear.
Which of the following is a situation in which an equation cannot be solved using the quadratic formula? A.) The coefficient of the x^2 term is zero B.) The right hand side of the equation is zero C.) The coefficient of the x term is zero D.) The degree of the polynomial is 2
Final answer:
An equation cannot be solved using the quadratic formula if the coefficient of the [tex]x^{2}[/tex] term is zero, as this makes it a linear equation, not a quadratic. So, option A is correct.
Explanation:
The situation in which an equation cannot be solved using the quadratic formula is when the coefficient of the [tex]x^{2}[/tex] term is zero (A). An equation is only quadratic if it is of the form a[tex]x^{2}[/tex] + bx + c = 0, where 'a' is not equal to zero. If 'a' is zero, the equation is not a quadratic equation but a linear one, and the quadratic formula cannot be applied. The quadratic formula, 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', requires a nonzero 'a' value because the denominator of the formula includes '2a'. If 'a' is zero, the formula would involve division by zero, which is undefined.
Option B is incorrect because having zero on the right-hand side of the equation does not affect the use of the quadratic formula. Likewise, option C is incorrect because the equation can still be quadratic even if the coefficient of the x term ('b') is zero; the equation becomes a pure quadratic equation. Option D suggests the polynomial is already of degree 2, which is the correct type of equation to apply the quadratic formula.
Convert decimal 305 to binary. show your work. how many bytes will it take to store the number
find the formula for the graph of function f(x) given in the graph above
The given graph is scaled form of trigonometric function graph.
The formula for the graph function f(x) is given by:
[tex]f(x) = -2sin(\dfrac{x}{4})[/tex]
How to find the formula for f(x) for given graph?Note down the properties one by one.
Firstly its a periodic function.
Secondly, the maximum value of the function is 2 and minimum value is -2
Thirdly the function assumes maximum or minimum value when it reaches to [tex]2 \pi n; n \in \mathbb Z[/tex]
Fourthly, the graph from the center to right side goes down then up then down then up and so on.
If you've seen graph of sine function, then you'd know that the graph is periodic(repeating same values after some interval), the maximum and minimum values being 1 and -1 and maximum or minimum values are achieved when input is [tex]\dfrac{n\pi}{2}; \: n \in \mathbb{Z}[/tex]
Plus, the graph from center to right goes up then down then up then down and so on.
Transforming sine graph to make the given graph:First we need down then up instead of up and down. Since down is negative output in its graph and up is positive, thus we will negate the value of sine function.
[tex]-sin(x)[/tex] will have flipped mountains and valley's in comparison to that of sin(x).
Now since the maximum and minimum values are needed to be 2 and -2 instead of 1 and -1, thus we will scale the output with factor of 2.
[tex]-2sin(x)[/tex] will have maximum and minimum as 2 and -2 respectively.
We need the graph to be maximum or minimum at x = [tex]2 \pi n; n \in \mathbb Z[/tex] and not at x = [tex]\dfrac{n\pi}{2}; \: n \in \mathbb{Z}[/tex]. Thus, we will scale down the input of -2sin(x) so that it treats [tex]2 \pi n; n \in \mathbb Z[/tex] as if it was given [tex]\dfrac{n\pi}{2}; \: n \in \mathbb{Z}[/tex].
The scaling needs to be by 1/4 since [tex]\dfrac{1}{4} \times 2\pi n = \dfrac{n\pi}{2}[/tex]
Thus, the resultant function is [tex]-2sin(\dfrac{x}{4})[/tex]
The below plotted graph shows graph of sin(x) (in red) and that of [tex]-2sin(\dfrac{x}{4})[/tex] (in blue).
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If f(x) = f(x)g(x), where f and g have derivatives of all orders, show that f'' = f ''g + 2f 'g' + fg''.
A basketball court is shaped like a rectangle. It has a perimeter of 288 feet. The width of the court is 50 feet. What is the length of the court? Use the following formula to help you decide: Pr = 2l + 2w where Pr is the perimeter of a rectangle, l is the length, and w is the width
using the given formula, fill in the numbers where they belong
perimeter = 288
width = 50
so Pr = 2l + 2w becomes
288 = 2l +2(50)
288 = 2l +100
subtract 100 from each side
188 =2l
divide both sides by 2
l = 188 /2
l = 94
length = 94 feet
The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b
Answer:
Step-by-step explanation:
Alright, let get started.
The given equation is : [tex]x^2-1x-90=0[/tex]
This is a quadratic equation.
The standard form of a quadratic equation is : [tex]AX^2+BX+C=0[/tex]
Comparing the given equation with standard one, the values of A ,B and C are :
A is 1
B is -1
C is -90
Since a and b are the roots of the equation, so the formula for sum of roots a+b will be = [tex]\frac{-B}{A}[/tex]
a+b=[tex]-\frac{-1}{1} =1[/tex]
hence a+b will be 1 : Answer
Hope it will help :)
Your sister has x dollars. You have 3 times the amount she does
Z varies inversely with the product of x and y. When x=2 and y =4 z=0.5 what is the value of x=4 and y=9
Heather drove at a constant rate. She traveled miles in 3 hours. How far did Heather travel in 1 hour?
The distance travelled for 1 hours will be h / 3 miles
She travels at a constant rate. Therefore, the speed is the same for any journey or distance covered.
Speedspeed = distance / timeIf she travels h miles in 3 hours the rate will be as follows;
rate = h / 3 miles per hourTherefore, if she travels 1 hour at the same rate , the distance travel can be computed as follows;
h / 3 = d / 1Therefore,
cross multiply
h = 3d
d = h / 3
The distance travelled for 1 hours will be h / 3 miles
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identify the function rule shown in the table.
n 3 4 5 6
y 2 1 0 -1
a. y = 2 + n
b. y = 5n
c. y = 5 -n
d. not enough information
3+2 = 5
4+1 = 5
5+0 = 5
6-1 =5
so answer would be C. y=5-n
check:
5-3 = 2
5-4 =1
5-5 =0
5-6 = -1
There is an average of 3.5 x 10^−2 kilograms of dissolved salt in each liter of seawater. The South China Sea contains approximately 9.88 x 10^18 liters of seawater. About how many kilograms of dissolved salt are in south china sea Enter your answer, in scientific notation, in the boxes. __×10__ kg
Answer:
[tex]3.458\times10^{17}[/tex] kg
Step-by-step explanation:
It has been given that in 1 liter of seawater, the amount of dissolved salt is [tex]3.5\times10^{-2}[/tex]kg
Let x kg of salt is dissolved in [tex]9.88\times10^{18}[/tex] liters of seawater.
Thus, we have
[tex]\frac{1}{3.5\times10^{-2}}=\frac{9.88\times10^{18}}{x}[/tex]
On cross multiplying, we get
[tex]x=3.5\times10^{-2}\times9.88\times10^{18}\\\\x=34.58\times10^{16}[/tex]
In scientific notation,
[tex]x=3.458\times10^{17}[/tex]
Thus, [tex]3.458\times10^{17}[/tex] kg of salt is dissolved.
What number is 30% of 150
The percentages can also be represented in decimal or fraction form. In academics the marks obtained in any subject are calculated in terms of the percentage. Here 30% of 150 is 45.
What is percentage?In mathematics, the percentage is defined as a number or ratio which can be expressed as a fraction of 100. If we have to calculate the percentage of a number, divide the number by the whole and it should be multiplied by 100.
So percentage means a part per hundred. The word percent means per 100. It is represented by the symbol %. For example 10% is equal to 1/10 fraction. Percentage have no dimension.
The formula used to calculate the percentage is:
Percentage = Value / Total value × 100
30% of 150 is:
150 × 30 /100 = 45
Thus 30% of 150 is 45.
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The velocity of an object fired directly upwards given v=96-48t, where t is in seconds. When will the velocity be between 48 and 80 feet per second
Sarah only knows the diameter of a circle. What should she do to find the radius?
Multiply the diameter by 2.
Divide the diameter by 2.
Multiply the diameter by pi
Divide the diameter by pi
Answer:
Therefore. The correct option is B. Divide the diameter by 2.
Step-by-step explanation:
Diameter of the circle : It is defined a line segment joining two points on the circumference of circles provided the segment passes through the center of the circle.
Radius of the circle : It is defined as a line segment joining any point on the circle to the center of the circle.
So, it can be illustrated that the radius is half of the diameter of the circle.
If we are given the diameter of the circle and we need to find the radius of the circle.
So, we will divide the given diameter of the circle by 2 to obtain the required radius of the circle.
Therefore. The correct option is B. Divide the diameter by 2.
P (1.23 < z < 3.24) =
The value of the P (1.23 < z < 3.24) is 0.49 after using the Z table and concept of the probability.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
P (1.23 < z < 3.24)
As we know, from the normal distribution, It's the probability curve of a continuous distribution that's most likely symmetric around the mean.
On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
From the Z curve:
P (1.23 < z < 3.24) = 0.49
Thus, the value of the P (1.23 < z < 3.24) is 0.49 after using the Z table and concept of the probability.
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