A video game system and several games are sold for $ 576 The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
The cost of the video game system is $144 and the cost of the games is $432.
Determining the costs of the video game system and the games:
Let the cost of the video game system be x, and the cost of the games be 3x since the games cost 3 times as much as the system.
The total cost is $576, so we can set up the following equation:
x + 3x = 576
Combining like terms:
4x = 576
Solving for x:
x = 576/4
x = 144
Now, we find the cost of the games:
The cost of the system is x = 144 dollars.
The cost of the games is 3x = 3 × 144 = 432 dollars.
A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descendants. How far should she travel in each descent?
divide total distance by the number od descents they want to do it in
100 / 5 = 20
so each one should be 20 feet
Jose Rodriguez's checking account had a starting balance of $1,234.56. He wrote a check for $115.12 for plumbing supplies and a check for $225.00 for a loan payment. Yesterday he deposited $96.75 in his checking account. What is Jose's current balance? A. $1,441.19 B. $1,477.93 C. $894.44 D. $991.19
Answer:
D. $991.19
Step-by-step explanation:
He starts with $1,234.56 in his account. He has to pay for plumbing supplies, so he writes a check for $115.12 and we have to subtract that amount from his account.
Now he has $1,234.56 - $115.12 = $1,119.44
After that, he has to pay a loan so he writes a check for $225.00.
Now he has $1,119.44 - $225.00 = $894.44
Finally, he deposits $96.75 in his account, so we have to add that amount to the amount he had before.
That's $894.44 + $96.75 = $991.19
What are the intercepts of 7x+2y-14z=56
Jenny had $17 more than susan, and together they had enough money to buy a game for $93 and to have a pizza for $6. how much money did susan have? answer
Find the mean of the data set. if necessary, round to the nearest tenth 18.1, 17.9, 16.8, 18.7, 15.1
You put $150 in a bank account that offers a 1% interest rate, compounded annually. How much will you have after 10 years?
Evaluate 6j+23+k when j=3, k=7, and l=33.
______
l−3,
SOLVED IT IT"S 19!
Its 19 bro.
Hope this helps
~Onyx~
Which of these is the distance from the head of the piston not including any dishes or domes to the deck surface of the engine block?
Subtract.
(5x^2−3x−2)−(−2x^2−x+10)
Express the answer in standard form.
Final answer:
To subtract two polynomials, change the sign of the second polynomial and combine like terms. The result of subtracting (5x^2-3x-2) and (-2x^2-x+10) is 7x^2 - 2x - 12.
Explanation:
To subtract the given polynomials, (5x^2−3x−2) and (−2x^2−x+10), we need to change the sign of each term in the second polynomial and then combine like terms with the first polynomial. This is similar to subtracting negative numbers, where subtraction turns into addition when the number being subtracted is negative.
The subtraction process step-by-step is as follows:
Change the signs of the second polynomial: +2x^2 + x - 10
Add the results to the corresponding terms in the first polynomial:
5x^2 + 2x^2 = 7x^2
−3x + 1x = −2x
−2 − 10 = −12
So the answer to the subtraction in standard form is 7x^2 − 2x − 12.
Why is it not reasonable to say that 4.23 is less Than 4.135 because 4.23 Has fewer Digits After The decimal Point Than 41.35?
How to find the domain and range of a function
A rectangle is no more than six inches wide, and its perimeter measures 28 inches. At least how long is the rectangle?
Suppose a population of 250 crickets doubles in size every 3 months. How many crickets will there be after 2 years?
A watermelon seed is 0.4cm long. How far would a line of 124 watermelon seeds stretch? Write your answer in meters.
Point (w, z) is transformed by the rule (w+5, z). What type of transformation occurred?
a) a translation of 5 units to the left
b) a translation of 5 units down
c) a translation of 5 units to the right
d) a translation of 5 units up
In the diagram which of the following segments is congruent to segment AB
To identify a segment congruent to segment AB based on the scenarios provided, one should look for shared lengths or properties of geometric figures that indicate congruence such as equal markings or vector properties.
Explanation:The question appears to be discussing congruent segments within geometrical diagrams, likely in the context of triangles or vectors. In geometric terms, congruent segments are segments that have the same length. From the information provided, several scenarios involving congruent segments are described. For example, when two triangles within different mediums share a segment, such as AB', or when judgment is required to determine congruence, as in Asch's conformity study.
In order to determine which segment is congruent to segment AB without the accompanying diagram, one would need to look for indications of shared lengths, parallel lines, or properties of similar triangles or figures. Typically, one would look for notation such as 'equals' marks on the segments or use the properties of the specific geometric shapes given (like the properties of triangles or the rules pertaining to vectors) to identify congruent segments.
In the diagram, segment AB is congruent to the segment on the surface AB' which is shared by both the triangle ABB' and AA'B'.
Explanation:In the given diagram, segment AB is congruent to the segment on the surface AB', which is shared by both the triangle ABB' inside medium 1 and the triangle AA'B' inside medium 2. This is because the angles
EASY QUESTION PLEASE HELP ME!!!!!!!!
A home run hit in a professional baseball game was measured to have traveled a distance of 8.5×10^−2 miles.
Which unit of measurement is most appropriate to measure this distance?
kilometers
centimeters
inches
feet
Answer:- D is the right answer. 'Feet' is most appropriate unit to measure this distance.
Explanation:-
Given distance =.
[tex]=8.5\times10^{-2}\text{ miles}=\frac{8.5}{100}\text{ miles}=0.085\text{ miles}[/tex]
We know that the units of length near to the mile is kilometers and feetsuch that 1 mile = 1.6093 km
1 mile = 5280 feet
Thus 'feet' is most appropriate unit to measure this distance.
Then the given distance[tex]=0.085\text{miles}=0.085\times5280\text{ feet}=448.8\text{ feet}[/tex]
For a triangle. Find the measure of angle 1 when the other 2 angles are 117 and 33.
A. 30°
B. 33°
C. 57°
D. 63°
Answer:
It is 30 exactly um. yes or no
How to check if something is an eigenvalue of a matrix?
What is the value of the dependent variable if the value of the independent variable is –1?
f(x) = 8x^5+2x
A. –10
B. 6
C. –6
D. 10
Kyle works at a nature observatory where they are tracking a bird's speed. He enters the distance the bird flies into cell A1 and the time it took into cell A2. Which formula should Kyle use? =A1*A2 =A1/A2 =A1*(A2+ A1) =A1+A2
Answer:
[tex]\frac{A1}{A2}[/tex]
Step-by-step explanation:
We are give that the distance travelled by the bird is A1.
And the time taken to fly this distance is A2.
Now we will find the speed with the formula mentioned below:
[tex]Speed=\frac{Distance}{time}[/tex]
Replacing Distance as A1 and Time as A2. We get speed of the bird as
[tex]\frac{A1}{A2}[/tex]
Put 1/2 1.1 5/3 20 0.4 -2 and 5/8 in order
Gabriela works at a nearby electronics store. She makes a commission of 14\%14%14, percent on everything she sells. If she sells a camera for \$589.00$589.00dollar sign, 589, point, 00, how much money does Gabriela make in commission?
The difference of a number x and 1/2
The required equation is x - 1/2 .
It is required to find the equation.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
According to given question we have,
The difference of a number x and 1/2 is
x - 1/2
Therefore, the required equation is x - 1/2 .
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A class has 12 boys and 18 girls. the class as a whole has a gpa (grade point average) of 2.88, and the boys have a gpa of 2.52. what is the gpa of the girls?
A car rents for $35 per day plus 21 cents¢ per mile. if x represents the number of miles jorge drives per day, 35 plus+0.21x represents the cost of the rental. if jorge has $98 to spend for the daily car rental, what is the maximum number of miles he can travel per day
Final answer:
With a daily budget of $98 for car rental, where the rental costs $35 per day plus 21 cents per mile, Jorge can drive a maximum of 300 miles per day.
Explanation:
If Jorge has $98 to spend for the daily car rental, where the cost comprises a fixed charge of $35 and 21 cents per mile, we use the equation 35 + 0.21x = 98 to find the maximum number of miles he can travel per day, with x representing the number of miles. Subtracting 35 from both sides of the equation gives us 0.21x = 63. Dividing both sides by 0.21 yields x = 300. Therefore, Jorge can drive a maximum of 300 miles per day within his budget.
Write the equation of the line that is parallel to 2x=1-3y and passes through (9,4).
The relationship between parallel lines is that they have the same slope. The equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]
Given that:
[tex]2x = 1 - 3y[/tex]
First, we make y the subject
[tex]2x - 1 = 3y[/tex]
Divide both sides by 3
[tex]y = \frac 23x - \frac 13[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m \to slope[/tex]
So, by comparison:
[tex]m = \frac 23[/tex]
Parallel lines have the same slope.
So the slope of the line that passes through (9,4) is [tex]m = \frac 23[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex]m = \frac 23[/tex]
[tex](x_1,y_1) = (9,4)[/tex]
So, the equation becomes:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = \frac 23(x - 9) + 4[/tex]
Expand
[tex]y = \frac 23x - 2 \times 3+ 4[/tex]
[tex]y=\frac 23x - 6 + 4[/tex]
[tex]y=\frac 23x -2[/tex]
Hence, the equation of the line that is parallel to [tex]2x = 1 - 3y[/tex] and passes through (9,4) is [tex]y=\frac 23x -2[/tex]
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What is m∠PTS? ??????????
Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits all together, how many of each did she buy.
Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.
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:
Becky bought seven more packages of dried apples than dried apricots.
Let x be the number of dried apples
Let y be the number of dried apricots
x = y + 7
She bought fifteen of these two fruits all together
x + y = 15
The above two equation represents the linear equation in two variables, solving the linear equation in two variables by the substitution method:
y + 7 + y = 15
2y = 15 - 7
2y = 8
y = 8/2
y = 4
x = 4 + 2 = 6
Thus, Becky bought 6 dried apples and 4 dried apricots if Becky bought seven more packages of dried apples than dried apricots. If she bought fifteen of these two fruits altogether.
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