Answers
y = 5x/2 + 9/2
(I don't know if this is correct)
Hope this helps!
The system of equations -5x + 2y = 9 and y = 7x is solved using substitution, yielding the solution x = 1 and y = 7.
To solve the system of equations -5x + 2y = 9 and y = 7x, we can use substitution since the second equation gives us 'y' in terms of 'x' directly. We substitute 7x in for y in the first equation:
-5x + 2(7x) = 9
-5x + 14x = 9
9x = 9
x = 1
Now that we have the value for x, we can find y using the second equation:
y = 7(1)
y = 7
Therefore, the solution to the system of equations is x = 1 and y = 7.
Related Questions
#24 please help I’m very confused on how to do this
Answers
_____
You can do units conversions pretty easily by multiplying by a conversion factor whose value is 1. That is, since
.. 1 mi = 1.609344 km
dividing by the left side we have
.. (1 mi)/(1.609344 km) = 1
This factor has the convenience that it will cancel km and give mi when multiplied by some number off km. That is what we did above. (The "per hour" just went along for the ride. It did not get involved in the units conversion.)
How many solutions does the system have?
x−3y=7
−2x+6y=6
Answers
2x - 6y = 14
-2x + 6y = 6
-------------------add
0x + 0y = 20
0 ≠ 20
answer
zero solution
Mrs. Fauskee went to the Farmers Market on Saturday and bought 5 oz of Strawberries, some spinach leaves and 2 3 oz jars of peach jam. The total weight of her purchases came to 20 oz. How many ounces (oz) of Spinach did Mrs. Fauskee buy? *
A 21
B 9
C 8
D 11
Answers
What is 3v+6v(4v-2v)
Answers
3v + 6v(2v)
3v + 12v²
3v(4v + 1) is your answer
hope this helps
the tax on a property with an assessed value of $120,000 is $300. find the tax on a property with an assessed value of $140,000.
Answers
Which describes the difference between the two sequences? First Sequence: 1, 6, 36, 216 ... Second Sequence: 3, 6, 9, 12, ...
Answers
what expression is equivalent to 2.2-2.5?
Answers
So let's take a look at the answers they give. A is 2.5 - 2.2 and all that is is switching the numbers so that isn't right. B they do addition instead of subtraction so that can't be right. C they do 2.2 + (-2.5) and when you add a negative number it's like subtraction because a negative number is under 0 and so your adding a number under 0 so you go down. So the answer is C.
If you need me to explain it different let me know. Hope this helps!
The origional expression would equate to -0.3
The reason A is incorrect is that you can not change the order of subtraction. This answer equates to 0.3.
The reason B is incorrect is that adding is not the same as subtracting. This answer equates to 4.7.
The reason D is incorrect is that subtracting a negative is the same as adding. This would equate to 4.7
The reason C is correct is that adding negative is the same as subtracting. This would equate to -0.3.
Add. 4/5 + 3-1/10 Enter the sum in the box as a mixed number in simplest form.
Answers
Exact Form:
37/10
Decimal Form:
3.7
Mixed Number Form:
3 7/13
Answer:
Step-by-step explanation:
ee
Please help me to answer these questions!! Thank you in advance.
1 - A string is cut into three pieces in the ratio 5 : 4 : 2. If the longest piece of string is 87 cm longer than the shortest piece of string, find the length of the string before it is being cut.
=
2- A bookstore sold fiction books, textbooks and workbooks last month in the ratio 6 : 5 : 9 respectively. If the store sold 1350 workbooks, what was the total number of fiction books and textbooks sold that month??
=
Answers
5x=87
x=17.4
4(17.4)=69.6
2(17.4)=34.8
add all the lengths together to find the amount of total string
87+69.6+34.8= 191.4
im not sure how to work the second one out.
Final answer:
The total length of the string before being cut was 319 cm. The bookstore, given the ratio of 6:5:9 for fiction books, textbooks, and workbooks, sold a total of 1650 fiction books and textbooks in a month.
Explanation:
Answer to String Ratio Problem
Let's represent the length of the longest piece of string as 5x, the medium piece as 4x, and the shortest piece as 2x, based on the given ratio 5:4:2. According to the problem, the longest piece is 87 cm longer than the shortest piece. Thus, we have:
5x - 2x = 87 cm
3x = 87 cm
x = 29 cm
Now, to find the total length of the string before cutting, we add up all the pieces:
Total length = 5x + 4x + 2x = 11x = 11(29 cm) = 319 cm
So, the string was 319 cm long before it was cut.
Answer to Bookstore Ratio Problem
In the bookstore problem, we're given the ratio of fiction books, textbooks, and workbooks sold as 6:5:9, respectively, and that 1350 workbooks were sold. If we denote the common ratio multiplier as y, we can represent the amounts of each as follows:
Fiction books = 6y, Textbooks = 5y, Workbooks = 9y = 1350
To find y, we solve 9y = 1350:
y = 150
Now, we can calculate the total number of fiction books and textbooks sold:
Fiction books = 6y = 6(150) = 900
Textbooks = 5y = 5(150) = 750
Total fiction books and textbooks = 900 + 750 = 1650
The bookstore sold a total of 1650 fiction books and textbooks.
Which of the following has the least value?
Answers
If you invest $3,900 at a 7.83% simple annual interest rate, approximately how long will it take for you to have a total of $10,000?
a.
12 years
b.
15 years
c.
20 years
d.
30 years
Answers
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=?\ years\\ P=\$3,900\\ A=\$10,000\\r=0.0783[/tex]
substitute in the formula above
[tex]10,000=3,900(1+0.0783t)[/tex]
Solve for t
[tex]10,000/3,900=(1+0.0783t)[/tex]
[tex](10,000/3,900)-1=0.0783t[/tex]
[tex]0.0783t=1.5641[/tex]
[tex]t=1.5641/0.0783[/tex]
[tex]t=19.98\ years[/tex]
therefore
the answer is the option C
[tex]20\ years[/tex]
there are four cups in a quart and 4 quarts in a gallon how many cups are in a 5-gallon jug of water
Answers
write two verbal expressions for n-5
Answers
A number less than five
OR
n minus five
After a 20% increase the new price of radio is $78.00. What was the original price of the radio
Answers
78/ 1.2 = 65
A store increases the price of a sweater from $20 to $22.
What is the percent of increase?
Answers
Answer:
The percent increase is [tex]\(10\%\).[/tex]
Explanation:
To find the percent increase, we use the formula:
[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]
Given:
- Original price = $20
- New price = $22
Substitute these values into the formula:
[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]
[tex]\[\text{Percent Increase} = \left( \frac{2}{20} \right) \times 100\%\][/tex]
[tex]\[\text{Percent Increase} = \left( 0.1 \right) \times 100\%\][/tex]
[tex]\[\text{Percent Increase} = 10\%\][/tex]
So, the percent increase is [tex]\(10\%\).[/tex]
8+x/-9=9
Please solve this equation and show your work!
Answers
x/-9= 1 multiply by -9
x= -9
-9×9=8+x
-81-8=x
X=-89
Which is a true statement about the line x − 4y = 8?
a
The y-intercept of the line is (0, 2).
b
The line passes through the origin.
c
The slope of the line is 1/4
d
The x-intercept of the line is (2, 0).
Answers
so your answer is C.
hope this helps, God bless!
a plane takes off at 6 am, traveling north at 270 mph. a jet takes iff at 7 am, traveling north at 460 mph. at what time will the jet overtake the plane?
Answers
[tex]d=rt[/tex]
Now, if the jet overtakes the plane, then at some point their distances will be the same. This means their rate * time will be equal.
Let's call the rate for the first plane, r1, and the rate for the second plane, r2. If we set time as t, then we can create ourselves a formula. However, we have to add one to the time of the first plane since it leaves one hour earlier. In the end, we should have something like this:
[tex]r_{1}(t+1)= r_{2}t [/tex]
If you plug in the values, you should get:
[tex]t = 0.704h[/tex]
For his phone service, jim pays a monthly fee of $11, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is 61.84. What are the possible numbers of minutes he has used his phone in a month?
Answers
Answer: 1271 minutes
how do you solve for missing leg of the Pythagorean theorem
Answers
a² + b² = c²
if you are solving for a side, use
c² - a² = b²
hypotenuse = c
other sides = a, b
hope this helps
find the coordinates of the orthocenter for a triangle with vertices (1,3) , (1,12) , (8,10)
Answers
The orthocenter is where the three altitudes of the triangle meet. That is, where the perpendicular lines from each vertex to the opposite side meet.
the goal in this case is to find out where the perpendicular line from C to AB, the perpendicular line from B to AC, and the perpendicular line form A to BC meet.
It is enough to find two perpendicular lines.
step one: find the equation of two perpendicular lines
find the slope of AB: m=(12-3)/(1-1), notice the denominator is 0, so the slope doesn't exist, that means AB is a vertical line parallel to the y axis, so the perpendicular line has a slope of o, a horizontal line. this horizontal line goes through C(8,10), so the equation is y=10
use the same method, slope of AC: (10-3)/(8-1)=1, so the perpendicular line from B to AC has a slope of -1. y=-x+b
Now use the point B(1,12) to find b: 12=-1+b =>b=13
so the equation for this line is y=-x+13
Step two: solve the system of equations: y=10
y=-x+13
we get x=3, y=10, which are the coordinates of the orthocenter.
I've also found the equation of the third line, which is y=(7/2)x-1/2, the point (3,10) is also on this line. So it works!
What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0) ?
Answers
You can use point slope formula to get the answer
Answer: x + 5y - 15 = 0
Step-by-step explanation:
First, we find the slope
Given : x₁ = 2 y₁= 5 x₂= 3 y₂=0
m = y₂ - y₁ / x₂ - x₁
m = 0-5 / 3-2
m = -5 / 1 = -5
equation of a straight line;
y - y₁ = m (x - x₁)
y - 5 = -5(x - 2)
y - 5 = -5x + 10
y + 5x - 15 = 0
I need to find the LCD or LCM for this equation I Also need with n is please help ... 3/4n-18=1/4n-14
Answers
We need to isolate "n"
So, add 18 to both sides.
3/4n = 1/4n - 14 - 18
Then, subtract 1/4n from both sides.
3/4n - 1/4n = -14 - 18
*Note : Since "n" has the same denominator (bottom number in a fraction), then we simply need to look at the top numbers (numerators) and simplify those.
Simplify.
2/4n = -32
Then, multiply both sides by 4 so that we get rid of fractions.
4 · 2/4n = -32 · 4
Simplify.
2n = -128
Now, divide both sides by 2.
2 ÷ 2n = -128 ÷ 2
Simplify.
n = -64
~Hope I helped!~
:)
What is the distance between −131 and −87 on a number line?
Answers
(-131) - (-87)= 44
You dont add a negetive sign because you are finding the distance
how do you solve p= 6s solve for s
Answers
p=6s
÷6 ÷6 divide 6 by both side
p/6=s
The expression can be written in terms of p after making the subject as s the expression is s = p/6.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
p = 6s
To solve the above expression in terms of p make the subject as s
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Divide by 6 on both sides:
p/6 = 6s/6
p/6 = s
Or
s = p/6
Thus, the expression can be written in terms of p after making the subject as s the expression is s = p/6.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Michell bought 5 packs of crayons for $13.75 what's the coust of one pack?
Answers
13.75 ÷ 5 = 2.75
So one pack would cost 2.75
(:
Rosa scored 174,325points playing a video game.to the nearest ten thousand,how many points did Rosa scored?
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1. simplify 6^2+ 3^2
2. 4^3+ 4.5
Answers
2. 68.5
please mark me brainliest!!!
Remember that an exponent of 2 means to multiply the base by itself, not multiply the base by 2.
6^2+ 3^2 = 6 * 6 + 3 * 3 = 36 + 9 = 45
2. 4^3 + 4.5 = 4 * 4 * 4 + 4.5 = 64 + 4.5 = 68.5
Fashion Phreddy buys 5 shirts and 3 ties for 91 on the bargain bus. Billy joe bob buys 8 shirts and 5 ties for 146. If all the shirts sold for the same price and each ties were priced identically. How much was each shirt and tie.
Answers
Fashion Phreddy buys 5 shirts and 3 ties for 91. This means that:
5x + 3y = 91 .........> equation I
5x = 91-3y
x = 18.2 - (3/5) y ..........> equation II
Billy joe bob buys 8 shirts and 5 ties for 146. This means that:
8x + 5y = 146 ...........> equation III
Substitute with equation II in equation III:
8(18.2 - (3/5) y) + 5y = 146
145.6 - 4.8y + 5y = 146
0.2y = 0.4
y = 2
Substitute in equation II to get the value of x:
x = 18.2 - (3/5) (2) = 17
Based on the above calculations:
price of T-shirt = x = 17
price of tie = y = 2
What is the answer to 2/9-2/15
Answers
Common denominator- 45
Multiply 2/9 by 5/5= 10/45 and multiply 2/15 by 6/45
10/45-6/45= 4/45
So, therefore, your answer is 4/45