3x=-5y
6x-7y=17
Solve the equation
Final answer:
To solve the system of equations, we first expressed x in terms of y from the first equation and substituted it into the second equation. After simplifying, we solved for y and then substituted back into the first equation to find x. The solution is x = 5/3, y = -1.
Explanation:
To solve the system of equations 3x = -5y and 6x - 7y = 17, one can use the method of substitution or elimination. We'll use elimination for this example. First, observe that the first equation can be rewritten to solve for x in terms of y:
3x = -5y
x = -5y/3
Let's substitute this expression for x into the second equation:
6(-5y/3) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1
Now substitute y back into the first equation to find x:
3x = -5(-1)
3x = 5
x = 5/3
The solution to the system of equations is x = 5/3, y = -1.
in a packet of skittles,27% are red and 14% are blue. What percentage are not red?
I don’t know how to do it
|12-14|-|15|. How do you figure this equation out anyone?
Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)
a rectangular prism has a length of 4 feet, a width of 1 yard, and a height of 3 inches. what is the total surface area of the prism to the nearest tenth of a square foot?
3. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles. Is 18 inches long. What is the side length of each piece?
4. Find the missing value to the nearest hundredth.
sin________=8/15
What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²
You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?
If the area of a circle is 12.56 square centimeters,then what is the radius
Which civilization was known to use geometry to construct canals for the transportation of water?
A.
Greeks
B.
Egyptians
C.
Maya
D.
Babylonians
A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?
If you were given a rectangle with a certain area how would you draw it so that it had the greatest perimeter
To maximize the perimeter of a rectangle with a given area, increase the length and decrease the width significantly.
To draw a rectangle with the greatest perimeter given a certain area, you should make the rectangle as long and narrow as possible. When the length of the rectangle approaches infinity and the width approaches zero while maintaining the same area, the perimeter is maximized.
help me please which one is the answer
An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?
A. The two functions have no points in common.
B. The two functions have the same initial value.
C. The two function have opposite output values of each other for any given input value.
D. The graph of the two functions would look exactly the same.
This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.
Show twelve in four different ways.use words, pictures and numbers
The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
Answer:
$28.
Step-by-step explanation:
Let y represent of saved money and x represent amount of earned money.
We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.
We know that two proportional quantities are in form [tex]y=kx[/tex], where, k is constant of proportionality.
Substitute given values and solve for k:
[tex]32=k*512[/tex]
[tex]\frac{32}{512}=\frac{k*512}{512}[/tex]
[tex]\frac{1}{16}=k[/tex]
To find amount of saved money, we will substitute [tex]k=\frac{1}{16}[/tex] and [tex]x=448[/tex] in our equation.
[tex]y=\frac{1}{16}\cdot 448[/tex]
[tex]y=28[/tex]
Therefore, Charlie saved $28 in the given week.
A bird picks up a golf ball and drops it while flying 81 feet above the ground. The ball hits the top of a 32-foot-tall pine tree then bounces down to the ground. After how many seconds does the ball hit the tree?
A bird picks up a golf ball and drops it while flying 81 feet above the ground
The ball hits the top of 32 foot - tall pine tree
Now distance travelled by the ball till hitting the pine tree = 81 - 32
= 49 feet
now we have to convert feet into metre
49 feet = 14.93 metre
By applying formula s = ut + 1/2at^2
here initial velocity u = 0
And acceleration is g
therefore, 14.93 = 1/2*9.8*t^2
i.e. 14.93 = 4.9*t^2
i.e. t^2 = 14.93/4.9 = 3.047
i.e. t = 1.75 secs
Therefore ball hits the tree after 1.75 secs
If m∠
∠
1=45 degrees, which other angles have a measure of 45 degrees? Select all that apply.
∠
2
∠
3
∠
4
∠
5
∠
6
Answer:
4,5
Step-by-step explanation:
The person above me is correct
The angles ∠2 = 135°, ∠3 = 135°, ∠4 = 45°, ∠5 = 45°, and ∠6 = 135° (all are in degrees)
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The angle ∠1 = 45° is given. And the diagram is shown.
Types of the angles are as follows;
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.Vertically opposite angle - When two lines intersect, then their opposite angles are equal.Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.∠1 + ∠2 = 180° (Supplementary angle)
45° + ∠2 = 180°
∠2 = 135°
∠1 = ∠5 = 45° (Corresponding angle)
∠2 = ∠6 = 45° (Corresponding angle)
∠1 = ∠4 = 135° (Alternate angle)
∠2 = ∠3 = 135° (Alternate angle)
More about the angled link is given below.
https://brainly.com/question/15767203
What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?
Answer:
27.1
Step-by-step explanation:
hope it helps!
Problem:Broderick had 420 in his checking account. He made 6 deposits of 35.50 each and he needs to write 4 checks for 310.75 each.
Question: I need to know an INTEGER to represent the total deposits Broderick made and another integer to represent Broderick needs from his checking account to cover the checks?
Using the variables 'x' and 'y', write an equation for the situation. Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets.
Step 1: Assign variable for the unknown that we need to find
Let ' x ' be the number of adult tickets
and Let ' y ' be the number of student tickets
Step 2: Use the given sentence to write an equation.
Sentence: "Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets."
[tex] Number \; of\; adult\; tickets + \; Number \; of\; student\; tickets\; =\; Total\; number\; of\; tickets\\ \\ x + y = 782 [/tex]
A typical stone on the lowest level of the Great Pyramid in Egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet deep and weighed 15 tons. What was the volume of the average stone? How much did one cubic foot of the stone way?
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ . Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute
for the above question, we can first convert the fractions to decimals to make it easier to work with
1/10 of sand - 0.1 ton
4/5 minute - 0.8 minute
Q1 -
ratio
0.1:0.8
since the ratio is in decimals we can convert it to whole numbers by multiplying by 10
1:8
Q2. amount of sand added in 0.8 minutes - 0.1 ton
amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons
Mrs. Jackson earned a $500 bonus s for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first weeks checks including the bonus is $1,204, how mqny hours did Mrs. Jackson work?
To find the number of hours Mrs. Jackson worked, subtract the bonus from her total earnings and divide the result by her hourly rate. Mrs. Jackson worked 32 hours.
Explanation:To find the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and divide the result by her hourly rate. Let's set up an equation:
Total earnings - Bonus = Hourly rate * Number of hours worked
$1204 - $500 = $22 * ">Number of hours worked
$704 = $22 * Number of hours worked
Divide both sides of the equation by $22:
Number of hours worked = $704/$22 = 32 hours
Therefore, Mrs. Jackson worked 32 hours.
Mrs. Jackson worked 32 hours in total.
Explanation:To calculate the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and then divide the result by her hourly rate.
Let's set up an equation for this:
Total earnings - Bonus = Hourly rate * Hours worked
Substituting in the given values:
1204 - 500 = 22 * Hours worked
Simplifying the equation:
704 = 22 * Hours worked
Dividing both sides by 22 gives:
Hours worked = 704 / 22 = 32
Therefore, Mrs. Jackson worked 32 hours in total.
ratios equivalent to 2:6.
The ratios equivalent to 2:6 are: 9:3 and 7:21
The given ratio is [tex]\(2:6\)[/tex]. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:
1. 10:7
To check if this is equivalent to 2:6, divide both parts by 2:
[tex]\[\frac{10}{2} : \frac{7}{2} = 5: \frac{7}{2}\][/tex]
This is not equivalent.
2. 9:3
To check if this is equivalent to 2:6, divide both parts by 3:
[tex]\[\frac{9}{3} : \frac{3}{3} = 3: 1\][/tex]
This is equivalent.
3. 7:21
To check if this is equivalent to 2:6, divide both parts by 7:
[tex]\[\frac{7}{7} : \frac{21}{7} = 1: 3\][/tex]
This is equivalent.
Therefore, the ratios equivalent to 2:6 are:
2:6
9:3
7:21
What is the side length of a cube with a volume of 0.008 m3?
Answer:0.2
Step-by-step explanation:
Im desperate xD
I KEEP TRYING AND FAILING HELP PLS
Burger Barn makes dipping sauce by mixing 2 spoonfuls of honey with 1/2 spoonful of mustard. Sandwich Town makes dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Which dipping sauce has a stronger mustard flavor?
Which number is written in scientific notation?
6x10^11
12x10^-8
0.2x10^5
8x7^2
Answer: [tex]6\times10^{11}[/tex]
Step-by-step explanation:
We know that the scientific notation is a technique to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10]and powers of ten.
[tex]6\times10^{11}\\\text{ It is in scientific form}\\\\12\times10^{-8}\\\text{It is not in scientific form, since} 12 >9\\\\0.2\times10^5\\\text{It is not in scientific form, since }0.2<1\\\\8\times7^2\\\text{ It is not in scientific form, since power of 10 is not there}[/tex]
Hence, the number written in scientific notation is [tex]6\times10^{11}[/tex]