15) John has $25 more in his account than Jess. Jess has $35. Write and solve an equation to represent how much John has in his account.
Answers
hello
to solve this question, we need to write out an equation to relate both accounts
first of all,
let John be represented by x
let Jess be represented by y
from the question, John has $25 in his account more than Jess.
we can write that out as
\(x=y+25\)the equation to represent John's account is written as x = y + 35
but we already know what Jess has in his account?
we can simply substitute the value into the equation and solve for x
\(\begin{gathered} y=35 \\ x=y+25 \\ x=35+25 \\ x=60 \end{gathered}\)from the calculations above, John has $60 in his account
Related Questions
Pls help me answer this asap! I appreciate those who answer my question
Answers
Answer:
in which class are you and please let me know the chapters
Question 6 of 10
A line of best fit was drawn for 6 data points. What is the maximum number
of these data points that may not actually be on the line?
OA. 6
B. 3
O C. 4
OD. 5
SUBMIT
Answers
2. Adding 5 to 3/2 of a certain number of cucumbers gives a result of 11 cucumbers. Find
the original number of cucumbers.
3. Seven less than three times a certain number of avocados is equal to that certain
number plus nine. Find the original number of avocados
Answers
Part A: the number of cucumbers is 11.
Part B: the number of avocados is 8.
Define the term fraction of the number?Part of a full number and a means of dividing a number equally sized portions are represented by fractions.A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 1/2.Part A:
Let x is the number of cucumbers .
Then,
3x - 7 = 26,
3x = 26+7,
3x = 33,
x = 33/3,
x = 11.
Thus, the number of cucumbers is 11.
Part B:
Let x is the number of avocados.
3x - 7 = x + 9
3x - x = 9 + 7
2x = 16
x = 8
Thus, the number of avocados is 8.
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Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
Answers
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.
I need answers fast please help!!!
Blueprint of a house is drawn to scale of 1 inch equals 2 feet if the actual length of a room is 13.8 feet how long will it be on the blueprint
Answers
what are the property for each equation
Answers
Answer:
associative, distributive, commutative
Step-by-step explanation:
Commutative is something just flipped around so the 3rd equation would be commutative. Associative is something with the same numbers but asked in a different way so 1st would be associative. Distributive is breaking the equation down and apart to make it easier to complete so the 2nd would be distributive.
hope this helped :)
- may i get brainliest
2. Distributive property
3. Commutative property
Describe a series of transformations Matt can perform to decide if the two windows are congruent
Answers
The three transformations—rotations, reflections, and translations—can be combined to produce congruent shapes. The truth is that any pair of congruent shapes can be matched to one another by combining one or more of these three transformations.
Explain transformations.
A point, line, or geometric figure has four different transformations that can be applied to alter its appearance. While the term "Image" refers to the position and final shape of the object, "Pre-Image" refers to the object's shape before transformation.
Given Information
The size and shape of the figures are preserved during stiff transformations, as we already know (reflections, translations, and rotations). Always in harmony with one another is the pre-image.
These transformational skills are all possessed by Matt:
Reflection
The reason a reflection maintains its original form Comparable locations between the pre-image and the picture remain apart from the line of reflection.
Rotations as a Transformation of Congruence
When a figure rotates, it twists. Despite being the same size and shape, the figurine appears to have toppled over. A clock is an excellent example of how the globe rotates in reality. Every hour or every day, the connecting arms of a clock revolve around its axis. The degree of a rotation determines what kind of rotation it is; popular rotations include 90, 180, and 270 degrees. Before spinning around completely and going back to where it started, the figure rotates 360 degrees. the clockwise or counterclockwise direction in which a rotation is made. This data can be used to determine the degree, amount, a revolution's speed and direction.
Congruence translational transformation
When an object or shape is transferred from one location to another without altering its size, shape, or orientation, we refer to the transfer as a movement. A translation, often known as a slide, involves moving every point on an object or shape uniformly and in one direction.
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evaluate the expression for x=-3 Thank you
\( {x}^{2 } - 2x + 4\)
Answers
Answer: 7
Step-by-step explanation:
3 x 3 = 9 - 2(3)+4
9-6+4
=7
A recipe for 20 rolls requires 5 tablespoons of butter. How many tablespoons of butter I needed for 30 rolls
(explain in full)
Answers
Answer:The answer is 7.5 tablespoon
Step-by-step explanation:
The solution is in the image
Answer:
7.5
Step-by-step explanation:
20 rolls : 5 tbsps
this means that 1 roll : 0.25 (5 / 20)
to figure out how much butter for 30 rolls, we must multiply 0.25 by 30 = 7.5
So, we need 7.5 tablespoons of butter for 30 rolls.
Hope this makes sense. If you require further explanation, don't hesitate to ask.
- profparis
Which statement is true?
The number √22 is irrational because the decimal expansion does not repeat and does not terminate.
The number √22 is irrational because the decimal expansion repeats or terminates.
The number √22 is rational because the decimal expansion does not repeat and does not terminate.
The number √22 is rational because the decimal expansion repeats or terminates.
Answers
A
Step-by-step explanation:
just listen to me because i know your doing benchmark just like me
If a ring costs a jeweler $2100, at what price should it be sold to yield a profit of 50% on the selling price?
Answers
2100/2 = 1050
Meaning 50% is $1050
#27State wether each labeled point identifies a local minimum, a local maximum, or neither. Identify intervals on which the function is decreasing and increasing.
Answers
According to the graph, we have:
(1, 5) is a local maximum
(5,1) is a local minimum
-∞ < x < 1 the function is increasing
1 < x < 5 the function is decreasing
5 < x < ∞ the function is increasing
Nadira owns a clothes shop.
The pictogram shows the number of skirts that were sold each day in one week.
On which day were most skirts sold?
Answers
Answer:
Friday
Step-by-step explanation:
you need to count the number of circles, the half circle represents 5 skirts
Answer by Gauthmath
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
Answers
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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what is 14: x :: 28:7
Answers
The value of x in 14 : x : : 28 : 7 is 3.5.
What is a ratio?The ratio is a comparison between two or more than two similar things in simplest form. There are two types of proportion in ratio one is direct proportion and another is inverse proportion. In direct proportion, all quantities increase or decrease simultaneously and in inverse proportion if one quantity increases another decrease.
We know we can write a : b as a/b and: : as an equal to sign.
The given statement says 14 : x is in proportion to 28 : 7.
∴ 14 : x : : 28 : 7.
14/x = 28/7.
28x = 98.
x = 98/28.
x = 3.5.
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Find the perimeter of the trapezoid.
16
7
5
4
20
Plz plz help
Answers
Answer:
48
Step-by-step explanation:
7+16+5+20=48
Thirty-four percent of workers in the Unites States are college graduates. Suppose a random sample of 120 workers is obtained and 35 of them have a college degree.
a) What are the mean and standard deviation of the number of workers with a college degree respectively?
b) What is the probability that the number of workers with a college degree is at least 35?
Answers
The mean number of workers with a college degree is 40.8, and the standard deviation is 5.37.
The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.
Given Sample size (n) is 120 workers
Proportion of workers who are college graduates (p): 34% or 0.34
a) Mean and Standard Deviation:
The mean (μ) of a binomial distribution is given by μ = np, and the standard deviation (σ) is given by σ =√np(1 - p).
Substituting the values:
μ = 120 ×0.34 = 40.8
σ = √120 × 0.34 × (1 - 0.34)) = 5.37
To find the probability that the number of workers with a college degree is at least 35
we need to calculate the cumulative probability of the binomial distribution from 35 to the maximum possible value, which is 120 in this case.
Using a binomial probability calculator or a statistical software, we can find this probability.
Assuming a binomial distribution with parameters n = 120 and p = 0.34, the probability can be calculated as follows:
P(X ≥ 35) = 1 - P(X < 35)
The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.
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There are 45 exotic fish in a fish tank. 9 of those fish are clown fish. What percent of the fish in the tank are clown fish.
Answers
(value/total value)×100%.
So,
9/45=0.2 x 100= 20%
Answer= 20%
Answer: 20%
Step-by-step explanation: it’s easy
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
Answers
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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Emile is a long-distance trucker. In one week he drives miles from his home in Fort Lauderdale, FL, to Benson, NC. He then drives miles to Barstow, CA, and continues driving miles to Bakersfield, CA. From there, Emile drives miles to Seattle, WA. Estimate the total distance Emile travels by first rounding each distance to the nearest hundred. Do not put units in your answer.
Answers
Answer:
Estimated total distance is 1,900 miles.
Step-by-step explanation:
We begin by adding each distance traveled by Emile:
1. Fort Lauderdale, FL, to Benson, NC = 748 miles
2. Barstow, CA, to Bakersfield, CA = 130 miles
3. Bakersfield, CA. to Seattle, WA = 1030 miles
Total miles = 1,908.
Therefore, in one week Emile's total distance to the nearest hundred is 1,900.
Note: the distances where gotten via Google Map.
Bob went to a baseball game the game started at 9:45 a.m. and it was 3 hours and 34 minutes long when did the game end
Answers
Answer:
1:19PM
Step-by-step explanation:
To solve this, we can first add up the minutes.
45 + 34 = 79\(\frac{79}{60}\) \(=1\frac{19}{60}\)Why do we convert it into a fraction?We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.
Now, we can add up the hours.
9 + 3 = 1212AM + 1 hour = 1PM1PM + 19 = 1:19 PMTherefore, the game ended at 1:19 PM
List three examples of words/phrases that describe the mathematical operation of addition. (Example "Increased by") *
Answers
Answer:
Increased by, added, brought up (All I know of haha)
Step-by-step explanation:
Theres really no explanation to this other than learning your mathematical terms.
Ken owns 500 shares of LaceNBrace, which makes hockey equipment. He receives a notice stating the company will be paying $0.15 dividend per share. What is the total dividend payment he receives for that quarter? O $750 O $8.50 O $7.55 O $75
Answers
Ken will receive a total dividend payment of $75 for that quarter.
We have to given that,
Ken owns 500 shares of LaceNBrace, which makes hockey equipment.
And, He receives a notice stating the company will be paying $0.15 dividend per share.
Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:
= $0.15 per share x 500 shares
= $75
Therefore, Ken will receive a total dividend payment of $75 for that quarter.
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Do you have to change the division to multiplication on a decimal?
Answers
Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product.
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes, find the empirical probability of getting color P(R).
O A. 6/25
OB. 1/4
O C. 3/10
O D. 13/50
Answers
Answer:
B
Step-by-step explanation:
28+25+29+18 = 100
red = 25
25/100 = 1/4
The required empirical probability is 1/4 which gets the color of red P(R).
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
A spinner has 4 equal sectors colored yellow, blue, green, and red. If in 100 spins we get
28 blue (B), 25 red (R), 29 green (G), and 18 yellow (Y) outcomes
To find the empirical probability of getting a red outcome, we need to divide the number of red outcomes by the total number of spins:
P(R) = 25 red outcomes / 100 spins
Apply the division operation, and we get
P(R) = 1/4
Hence, the required empirical probability is 1/4
Therefore, the correct answer is 1/4 or option B.
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Jaime está a 10 metros de un edificio y lanza su balón en línea recta ascendente y alcanza el segundo piso del edificio a 5 metros de altura). ¿Cuánto mide la trayectoria del balón (desde que lanza hasta que impacta)?
Answers
Find the equation of the line that is perpendicular to the x-axis and passes through the point (-14,5). Give the full equation as your answer.
Answers
Answer: x=-14
Step-by-step explanation:
If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.
HELP!!!
What is the volume of the square pyramid, in cubic inches?
Answers
Answer:648
Step-by-step explanation:
V=a2h
3=92·24
3=648
Answer:
648 in.^3
Step-by-step explanation:
V = (1/3)Bh
V = (1/3)(9 in.)^2(24 in.)
V = 648 in.^3
WILL PUT BRAINLIEST
An online shoe store is having a sale. The original price of each pair of shoes is p dollars. The store sells 15 pairs of shoes and earns a total of (15p−30) dollars. a. Factor the expression using the GCF.
15p−30=
b. The discount per pair of shoes is $
Answers
Answer:
15p - 30 = p - 2
b. $2.00
Step-by-step explanation:
So if they sold 15 pairs but there's a -30 in the expression, so just divide the total discounted cost which is $30 by the number of pairs, which is 15. So 30 ÷ 15 = 2, and that's the answer to b.
pls help this is urgent! Graph the Solution to this inequality on the number line!
Answers
Answer: A. x <= -3
Step-by-step explanation:
First, let's begin by simplifying the inequality:
-4x >= 12 ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...
-4x / -4 <= 12 / -4 ← Simplify...
x <= -3
Now, we need to find the right number line representing this inequality.
There should be a solid dot over -3, because the inequality includes the value -3 (x includes values less than and equal to -3).The number line should be pointing to the left, towards values less than -3.The number line that fits these criteria would be number line A.
The number line that represents the solution for the inequality -4x ≥ 12 is between the interval (-3 , -∞) .
What is number line?A number line is a representation of real numbers in the form of a graduated straight line. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point. Some will have a defined beginning and end point. These are known as closed number lines. Number lines can also be empty or blank.We now have
-4x ≥ 12
We have to divide both sides by -4
-4x/-4 ≥ 12/-4
x ≤ -3
Keep in mind that less change equals more change.
The interval (-3 , -∞) is the solution.
All real numbers that are lesser than -3
The shaded area to the right of the dashed line represents the solution to the inequality.
Therefore the number line of this solution will be option 1.
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