Answers
Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.
So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:
[tex]524.96-32.5+x\ge500[/tex]Solving this inequality for x, we have:
[tex]\begin{gathered} 492.46+x\ge500 \\ x\ge500-492.46 \\ x\ge7.54 \end{gathered}[/tex]Therefore the correct option is the first one (a).
Related Questions
Which value, if any, from the set {4, 5, 6} makes 15f = 85 true?
A. 5
B. 4
C. None of these values
D. 6
Answers
there are 500 people if one table seats 8 people how many tables do you need
Answers
At the end of 10 years, Alan has $4220 in his savings account. This account compounds monthly. If Alan’s initial deposit was $2100, what is the rate at which the account compounds
Answers
Answer:
Step-by-step explanation:
What type of god is Kronos?
Answers
Answer:
Kronos is a Titan Deity.
Step-by-step explanation:
He was a very powerful "Titan Deity" that was the King of the Titans and the Heavens.
i hope this helps c: <3
How many clusters are in the scatter plot?
2
3
0
1
Answers
From the information given in the scatter plot, we can infer that the number of clusters given is three in number. (Option B) See attached image and explanation below.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
A scatter plot is a graph that displays data points linking two variables. Each item of data is represented by a separate point on the scatter plot, and the points are not linked.
In a scatter plot, a cluster is a group of dots that follow the same basic pattern. They might follow a straight route or a curved line. Many points can be found in a cluster.
Given the patterns identified in the scatter plot, it is correct to infer that there are three clusters.
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A ball manufacturer wants to stack three balls, each with an 8-centimeter diameter, in a box that is an equilateral triangular prism. The diagram shows the dimensions of the bases. Will the balls fit in the box? Explain how you know.
Answers
Considering the volumes of the ball and of the box, it is found that the balls will not fit into the box.
Volume of the ballThe ball is spherical, with a diameter of 8 inches = radius of 4 inches.
The volume of an sphere of radius r is given by:
V = 4/3πr³.
Hence the volume of each ball is given by:
V = 4/3π x 4³ = 267.4 cm³.
The volume of the three balls is:
V = 3 x 267.4 cm³ = 802.2 cm³.
Volume of the boxThe box is a triangular prism, hence the volume is given by the multiplication of the base area by the height, as follows:
V = Ab x h.
The height of the box is of 9 cm, however we have to find the base area.
From the bisection, at the right side of the triangle, we have that half the side of the equilateral triangle is of 7.8 cm, hence the side length is of:
s = 2 x 7.8 = 15.6 cm.
Hence, bisecting the base triangle to find the height, it will have:
Height h. (side of a right triangle).Side of 7.8 cm (another side of a right triangle).Angle of 30º between them.Then the height can be found as follows:
tan(30º) = h/7.8 (tangent = opposite side/adjacent side)
h = 7.8 x tan(30º)
h = 4.5 cm.
The area of a triangle is half the multiplication of the side length and the height, hence the base area is:
A = 0.5 x 15.6 x 4.5 = 35.1 cm².
Then the volume of the box is:
V = 35.1 x 9 = 315.9 cm³.
The volume of the three balls is of 802.2 cm³ > 315.9 cm³, hence the three balls will not fit into the box.
What is the missing information?The box is missing and is given by the image at the end of the answer.
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Answer:
an inscribed, sides, 4.5,cm , greater, will
Very easy 7th grade math please answer both questions 10 points!!!!
Answers
Answer:
28:
The Greatest Common Factor (GCF) of 10 and 35 is 5.
10/5 = 2
35/5 = 7
Take the GCF out and keep your divided values in the brackets:
5(2x+7)
29:
n = number of times Thalia has made cookies
c = cups of flour used
c = 12 - 2n
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AX + 6939 + x4(G.CO.C.10)Solve for xFind the measure of angle A:
Answers
The sum of the angles of a triangle always equals 180°, then we can formulate the following expression:
(x + 69)° + (39 + x)° + 90° = 180°
By combining like terms in the above equation, we get:
x + x + 69 + 39 + 90 = 180
2x + 198° = 180°
We can solve for x to get:
2x + 198 - 198 = 180 - 198
2x = 180 - 198
2x = -18
x = -18/2
x = -9
Then, x equals -9.
In order to calculate the measure of angle A, we just have to replace the value of x into the equation 39 + x, then we get:
mmm
Then, the measure of angle A equals 30°.
Write the slope-intercept form of the equation of the line through the given point (1, 2) with the given slope of -3:
Answers
The equation of the line with the point (1, 2) with the slope - 3 will be;
⇒ y = - 3x + 5
What is Equation of line?
The equation of line with slope m and passes through the point
(x₁, y₁) defined as;
⇒ y - y₁ = m (x - x₁).
Given that;
The slope of the line = -3
The point on the line is (1, 2).
Now,
Since, The equation of the line with slope m and passes through the point (x₁, y₁) defined as;
⇒ y - y₁ = m (x - x₁).
Hence, The equation of the line with slope - 3 and passes through the point (1, 2) will be;
⇒ y - y₁ = m (x - x₁).
⇒ y - 2 =-3 (x - 1).
⇒ y - 2 = -3x + 3
⇒ y = - 3x + 3 + 2
⇒ y = - 3x + 5
Therefore, The equation of the line with the point (1, 2) with the slope - 3 will be;
⇒ y = - 3x + 5
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What is a simplified expression for (x- y) - (x -y)?
Answers
Answer:
0
Step-by-step explanation:
if you distribute the negative through the second part, you get x-y-x+y, so the x and y will both cancel to 0.
Answer:
Step-by-step explanation:
( x + y ) - ( x - y )
x + y - x + y
x - x + y + y
2y Ansa large industrial firm purchases several new word processors at the end of each year, the exact num- ber depending on the frequency of repairs in the previ- ous year. suppose that the number of word processors, x, purchased each year has the following probability distribution:
Answers
This firm expects to spend on the new word processor expense of $1855 from the given probability distribution.
What is a probability distribution?
A random variable can have any number of alternative values and likelihoods within a particular range, and a probability distribution would be a statistical function that captures all of these possibilities. This range will be constrained by the minimum and maximum distinct combinations, but the location of the possible value on the probability distribution will rely on a number of other variables. These elements include the mean (median), and standard deviation, of the distribution.Given that the number of word processors, x, purchased each year has the probability distribution.
E(X)=1* (3/10)+2*(2/5)+3*(1/5)=1.7
E(X^2)=1^2(3/10)+2^2(2/5)+3^2(1/5)=3.7
Expense=E(1200x-50x^2)=E(1200x)+E(-50x^2)=1200E(x)-50E(x^2)
So
Expense=1200*1.7-50*3.7=1855
This firm expects to spend on the new word processor expense of $1855 from the given probability distribution.
Complete question: A large industrial firm purchases several new word processors at the end of each year. The exact number of word processors purchased depends on the frequency of the number of repairs in the previous year. Suppose that the number of word processors x that are purchased each year has the following probability distribution:
x 0 1 2 3
f(x) 1/10 3/10 2/5 1/5
The cost of the desired model is $1200 per processor and a discount of 50 X2 dollars is credited towards any purchase. There is also a fixed cost of $600 regardless of the number of processors purchased. How much can this firm expect to spend on new word processors?
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Which expression is equivalent to 3x+4(3x+2)
Responses
Answers
Ahmed spent $ 27 and now has no money left. He had before his purchase.
Answers
Answer: $27
Step-by-step explanation:
Your question is unfinished but I'm assuming you want to know how much he had before his purchase.
If he spent $27 and is now broke that means he only had $27 in his wallet before his purchase
Twice a number increased by 6 is at least 35.
Answers
The number will be represented by x
Twice a number = 2x
Increased by 6 = +6
2x+6
word problems QKB
Mr. Olsen's class went to the science museum to see dinosaur fossils. They saw a young
brontosaurus that was 5 feet tall. They also saw an adult brontosaurus that was 15 feet tall.
How many times as tall as the young brontosaurus was the adult brontosaurus?
Answers
The sum of three numbers is 20. The third is 3 more than 12 times the second. 9 times the first is 11 less than 10 times the second. Find the numbers.
Answers
A three-number total equals twenty. The third is three times as much as the second. From the equation numbers area 0.1, 1.2 and 17.4.
Given that,
A three-number total equals twenty.
The third is three times as much as the second.
11 less than 10 times the second is 9 times the first.
We have to find the numbers.
First take the 3 numbers as a,b and c
A three-number total equals twenty.
We can write as,
a+b+c=20→ equation(1)
The third is three times as much as the second.
c=12b+3→equation(2)
11 less than 10 times the second is 9 times the first.
9a=10b-11→equation(3)
Now,
From equation(3) we get,
a=(10b-11)/9=10/9b-11/9
From equation(2) we get,
c=12b+3
Substitute value a and c in equation(1),
10/9b-11/9+b+12b+3=20
10b-11+9b+108b+27=20×9
127b+16=180
127b=180-16
127b=164
b=164/127
b=1.2
Substitute the b value in equation (2) and (3)
Equation(2)
c=12b+3
c=12(1.2)+3
c=14.4+3
c=17.4
Equation(3)
a=10/9b-11/9
a=10/9(1.2)-11/9
a=1.3-1.2
a=0.1
Therefore, the numbers are 0.1, 1.2 and 17.4.
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2+(45+92)63 so how do I solve this
Answers
Answer:
8363
Step-by-step explanation:
Solve this using BODMAS (Brackets of Division, Multiplication, Addition, Subtraction)
=> 2 + (45 + 92)63
=> 2 + (137)63
=> 2 + 8361
=> 8363
Draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form.
Answers
The slope of the line is 7 x - 8 y + 56 = 0 0r 8 y = 7x - 56
What does it mean by slope of a line ?
The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis climb compares to its x-axis run.
Given : The two points are A( 0, 7 ) and B ( -8 , 0 )
The formula of the slope of the line is
y₂ - y₁ = m ( x₂ - x₁ )
And m = y₂ - y₁ / x₂ - x₁
m = - 7 / - 8 = 7/8
therefore , y - 0 = 7/8 ( x + 8 )
8 y = 7x + 56
7 x - 8 y + 56 = 0
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this is a math problem that i need help with
Answers
Answer:
d = 8 , a₁ = - 6 , a₂ = 2
Step-by-step explanation:
the recursive formula is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d
where d is the common difference
compare with
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 8
then common difference d = 8
the initial term is the first term, that is a₁ = - 6
then
a₂ = a₁ + d = - 6 + 8 = 2
function notation of g(x)-3x-8;g(-3)
Answers
The value of the function at -3 is g(-3) = -17 .
A function from set X to set Y is created by assigning an element from set Y to each element in set X. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.
A function from the set X to the set Y assigns each element of X exactly one element of Y. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.The collection of all pairings (x, f (x)) that distinctively represent a function is known as the graph of a function, which is a typical technique for lighting the function.We know that g(x) = 3x-8
Therefore we substitute the value of x with -3 to get g(x) .
g(-3) = 3(-3)-8 = -9 - 8 = -17
Therefore the value of the function is -17.
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Adele opens an account with $150 and deposits $35 a month. Kent opens an account with $70 and also
deposits $35 a month. Will they have the same amount in their accounts at any point? If so, in how many
months and how much will be in each account?
Answers
Answer:
no there will never have the same amount in their accounts at any point
Step-by-step explanation:
An object is moving at a speed of 3 kilometers every 5 days. Express this speed in yards per hour.
Answers
An object is moving at a speed of 27.3 yards per hour.
How to find the speed in yards?3 kilometers must first be converted to yards.
1 m = 1.09 yards.
1 Km = 1093.61
3 km to yards is 3280.84
Currently, we must convert 5 days to hours. There are 24 hours every day, we shall multiply that number by 5 to find the number of hours in 5 days.
5 * 24 = 120 hours
To determine the speed in yards per hour, divide 3280.84 by 120.
3208.4/120
= 27.34 yards per hour
27.34 is 27.3 approximately.
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i need help with this
Answers
Answer: 8.2 x 10^2
Step-by-step explanation:
2y+8x=0
use the slope and y intercept form to graph the equation
Answers
Answer:
Step-by-step explanation:
2y+8x=0
Converting to y-intercept form:
2y = -8x
y = -4x
So, the slope is -4 and the y-intercept is at (0,0).
Your bank account currently has a balance of $180. you withdraw $20 each week. write an equation that represents how many money (y) will be in your account x weeks. use your equation to find how many weeks until your account has a balance of zero.
Answers
The equation which represents money in the account after x weeks is:
20x+y=180
Hence the time after which the account has a balance of zero is 9 weeks.
Given, the bank account has a current balance of $180.
Withdrawal of $20 takes place every week.
we are asked to determine the amount of time (in weeks) needed for the account to have no balance is = ?
let x be the time time (weeks)
and y be the money left in the bank.
the equation will be:
20x + y = $180
Hence if the balance is zero, then how many weeks will it be.
substitute y=0
20x+0=180
20x=180
x=180/20
x=9
Hence it will take 9 weeks until the account has a balance of zero.
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1.Відомо, що 3< x < 8; −2 < у < 6. Оцініть значення виразу:
A) 2x+y;
Б) x-y.
Answers
Відповідь B, вибачте, якщо я помиляюся
What is the slope of the line that passes through the points (-9, 0) and (-17, 4)?
Write your answer in simplest form.
Answers
Answer:
m = -1/2Step-by-step explanation:
Use the slope formula of y^2-y^1 over x^2-x^1
(-9,0)
x^1 ,y^1
(-17,4)
x^2,y^2
4-0 over -17-(-9) ----> 4/-8
Simplify 4/-8 by dividing the numerator and denominator by 4
= -1/2Solve for x. Write both solutions, separated by
a comma.
3x² + 7x-6=0
Answers
Answer:
- 3, 2/3
Step-by-step explanation:
Given:
3·x² + 7·x - 6 = 0
General Equation:
a·x² + b·x + c = 0
a = 3;
b = 7;
c = - 6.
Discriminant:
D = b² - 4·a·c = 7² - 4·3·(-6) = 49 + 72 = 121
√ (D) = √ (121) = 11
Solution:
x₁₂ = ( - b ± √(D) ) / (2·a);
x₁ = ( - 7 - 11 ) / (2·3) = ( - 18) / 6 = -3
x₂ = ( - 7 + 11 ) / (2·3) = 4 / 6 = 2 / 3
it is 76 degrees at the 6000 foot level of a mountain and 49 degrees at the 12000 foot level of the mountain. write a linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet
Answers
The linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet will be T = (-9/2)x +103.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that, it is 76 degrees at the 6000-foot level of a mountain and 49 degrees at the 12000-foot level of the mountain.
As we know the linear equation in the slope-intercept is found as,
y =mx + b
Replace m with the c,y with the T, and b with the k as
T = cx + k
From the given data,
76 = c(6) + k
76 = 6c + k
⇒ k = 76 - 6c
For condition 2,
49 = c(12) + k
49 = 12c + k
Substitute the value of k in the above equation,
49 = 12c + (76 - 6c)
49 = 12c + 76 - 6c
49 - 76 = 6c
6c = -27
c=-9/2
Put the value of c in the equation,
K = 76 -6c
K = 76 -6(9/2)
K = 76+27
k = 103
Put the value of c and k in the equation below,
T = cx + k
T = (-9/2)x+103
Thus, the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet will be T = (-9/2)x +103.
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which statement is true regarding the graphed functions
Answers
The option A that f(-3)=g(-4) will be the correct option for the given graph of set of intersecting line meeting at point (-3,-4).
What is Intersecting line?When two or more lines intersect in a plane, they are referred to as intersecting lines. The intersecting lines share a common point, which exists on all of them and is known as the point of intersection.
What are the properties of intersecting lines?The intersecting lines (two or more) always meet at one point.
The intersecting lines may cross at any angle. This formed angle is always greater than 0° but less than 180°.
A pair of vertical angles is formed by two intersecting lines. Vertical angles are opposite angles that share a vertex (which is the point of intersection).
In the graph we can see that lines are meeting at (-3,-4) that is why the option A f(-3)=g(-4) is most suitable option.
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