Answer:
x = -8/3 and y = -49/3
Step-by-step explanation:
(Step 1) To solve using substitution, you first need to isolate a variable in one of these equations. I chose to isolate "y" in the following equation.
-8x + y = 5 <--- Original equation
y = 5 + 8x <--- Add 8x to both sides
(Step 2) Now, substitute (5 + 8x) for "y" in the second equation.
5x - y = 3 <--- Original equation
5x - (5 + 8x) = 3 <--- Substitute 5 + 8x for "y"
5x - 5 - 8x = 3 <--- Distribute (-) in the parentheses
-3x - 5 = 3 <--- Combine terms with "x"
-3x = 8 <--- Add 5 to both sides
x = -8/3 <--- Divide both sides by -3
(Step 3) Since you know the value of "x", plug it into one of the equations to solve for "y".
y = 5 + 8x <--- Original (rearranged) equation
y = 5 + 8(-8/3) <--- Plug (-8/3) for "x"
y = 5 - 64/3 <--- Multiply
y = 15/3 - 64/3 <--- Convert 5 into a fraction
y = -49/3 <--- Subtract
(Step 3.5) You can check your work by plugging "y" into the other equation to see if the answer for "x" is the same.
5x - y = 3 <--- Original equation
5(-8/3) - y = 3 <--- Plug (-8/3) for "x"
-40/3 - y = 3 <--- Multiply
-40/3 - y = 9/3 <--- Convert 3 into a fraction
-49/3 - y = 0 <--- Subtract both sides by 9/3
-49/3 = y <--- Add both sides by "y"
The value of the system of equations is x = -8/3 and y = -49/3.
30 POINTS PLS HELP
1) If y is the amount of dog food in the bin, and x is the number of days the dogs have been fed, write an equation to represent the amount of food left in the old dog's bin.
You are pet sitting your neighbor's dogs for a couple of weeks. Each dog must be fed a different type of food. The instructions say to feed the old dog 2/3 pound of food each day from the bin with 25 lbs of kibble in it. The puppy is to get 1/4 pound of food each day from the bag with 20 lbs of puppy kibble in it. Use your system of equations to calculate the number of days until both containers have the same weight of food in them.
2)If y is the amount of dog food in the bin, and x is the number of days the dogs have been fed, write an equation to represent the amount of food left in the puppy's bin.
3)Use your equations to solve to find the number of days when both containers will have the same weight of food in them. (check your solution!)
The equation computed shows that the number of days until both containers have the same weight of food in them will be 12 days.
How to calculate the equations?From the information given, the instructions say to feed the old dog 2/3 pound of food each day from the bin with 25 lbs of kibble in it. the equation will be:
= 25 + 2/3d
= 25 + 0.67d
Also, the puppy is to get 1/4 pound of food each day from the bag with 20 lbs of puppy kibble in it. This will be:
= 20 + 1/4d
= 20 + 0.25d
The number of days until both containers have the same weight of food in them will be:
25 + 0.67d = 20 + 0.25d
0.67d - 0.25d = 20 - 25
0.42d = 5
d = 5/0.42
d = 11.9
d = 12 days
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If you order 5 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?
Answer:
6
Step-by-step explanation:
If you divide 30 by 5 you would get 6 and 6x5 is 30 aswell
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
100 points for a serious Answer
Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.
Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
What are the dimensions of the painting on the new scale drawing?
Answer:
5 in. by 4 in.
Step-by-step explanation:
The proportion of 1/4 is larger than 1/6 so the new scale drawing is larger. The new scale drawing is the drawn blank. The dimensions are 5 in. x 4 in. for the background. The H's dimensions are 1/2 in. width and also 1 in. The height is about 4 in. Length, width and height are all dimensions which is what I was trying to find. I'm sorry if this didn't help I didn't really know what it was asking.
Question
Evaluate the expression.
(−112)2
Answer:
1/144
step explanation:
(-1/12)^2 is -1/12 multiplied by itself twice. When multiplying fractions you can multiply straight across. When two negatives are multiplied together it makes a positive, so the answer is 1/144.
Solve for x using cross multiplication.
Step-by-step explanation:
[tex] \frac{5x}{7} = \frac{2x - 4}{3} \\ [/tex]
[tex]5x \times 3 = 7(2x - 4) \\ [/tex]
[tex]15x = 14x - 28[/tex]
[tex]15x - 14x = - 28[/tex]
[tex]x = - 28[/tex]
Answer: Heyaa! ~
Your Answer for X using cross multiplication is... -28
Step-by-step explanation:
Solve for x by cross multiplying.x = -28Hopefully this helps you! ^^
Help please, thank you.
I NEED HELP QUICK DUE IN 20 MINS
Step-by-step explanation:
12• the graph pass by in × intercept - 3 / 2 or - 1 • 5
in y intercept 1 because
y - 1 = 2 / 3× means y = 2/3 × + 1 and y intercept we can get by assuming if × is = 0 and × value by assuming if y is equal to 0
so; × = { -3/ 2 , 0 } or { - 1 • 5 , 0 }
y= { 0 ,1 }
13 • by the same formula become the graph pass in × intercept -4/ 3 or 1• 3`
y intercept 4
help me please
tysm!
Answer:
2 is the awnser55.^
Becuase 6-5=1
1-6=5
5-4=1
1-3=2
Find the surface area of this figure
Answer: 336 square inches
Surface area
6x12 + 8x12 + 10x12 + 8x6
72 + 96 + 120 +48
336
Let me know if this helps
Answer:
336 square inches
Surface area
6x12 + 8x12 + 10x12 + 8x6
72 + 96 + 120 +48
336
Let me know if this helps
Step-by-step explanation:
Who ever finishes 1-3 first gets marked brainliest
Answer:
1st question is D, 2nd question is G, 3rd is D
Step-by-step explanation:
1st, It says plus the cost of s, so you can mark out every other one except D because it says plus, you don't multiply it with the cost of the cheeseburgers. 2nd, For the next one all you have to do is subtract each number on the top by 12. Like 2 - 12 = -10, 4 - 12 = 8, and etc. Since the others don't have that like 1 - 12 does not equal -12 like it says in J. Also unlike F none of the answers can be positive, and in H it is basically adding the numbers instead of subtracting and putting a negative sign in front. Therefore G is the answer for 2. 3rd, because for every mile it costs 2.50 so that's the relationship between the table. Basically since every mile costs 2.50, you multiply 2.50 by the distance. Which if you do the inverse is the cost = distance divided by 2.5.
Type a digit that makes this statement true.
5,474,86
is divisible by 9.
Submit
Math-Measurement Unit
The volume of the candle box is 1024 cm².
I don't know how to do the purple cube.
please answer asap. thank you
Answer:
Step-by-step explanation:
Because the length width and height of the inch cube are all the same, 1/2 plus 1/2 is 1 so 8 cubes 2 for the length, height and width
as for the cubes volume, 1/2* 1/2* 1/2 = 1/8^3
amd the last ones u solve with the answers to the first 2,
8 Cubes * 1/8^3 = 1inch^3
Hope this helped have a good day
Select the correct answer from each drop-down menu.
Reuben is making a replica of the US flag for his school project.
He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters.
The perimeter of the scale drawing is
centimeters.
The perimeter of the actual flag is
inches.
Answer:
14.5 cm, 29 in.
Step-by-step explanation
The perimeter(P) is 2L+ 2W, so P = 2 * 4.75 + 2 * 2.5 = 14.5.
Double 14.5, because every 0.5 cm is 1 inch. 14.5 * 2 = 29.
CAN SOMEONE PLSSS HELP I AM GONA FAIL.
Answer:
A is false, the rest are true.
in the graph △pqr ≅ △ xyz
Answer:
The answer would be C.
Step-by-step explanation:
We can tell that it has been translated, meaning that the answer will either be C or D. A reflection across the x axis would already reflect PQR six units left, meaning the answer would be C. Sorry for the bad explanation I'm really tired, I hope this helps! :)
At the craft store, Ayana bought a bag of blue and orange marbles. She received 41 blue marbles and 9 orange marbles. What percentage of the marbles were blue? Write your answer using a percent sign (%).
Answer: 82%
Step-by-step explanation:
41+9=50
50*2=100
41*2=82
ill give brainly and 20 points
Answer: The answer is C) m=3p
Step-by-step explanation:
Need help As soon as possible
Sarah described the following situation:
When more apples grew in the backyard, the pet cat stayed indoors for a longer time.
Which of the following best describes the situation?
This is an example of correlation because there is an obvious relationship between the two scenarios.
This is an example of causation because apples cause cats to stay indoors.
This is an example of correlation because apples cause cats to stay indoors.
This is an example of causation because cats dislike apples.
Step-by-step explanation:
This is an example of correlation because there is an obvious relationship between the two scenarios.
This is an example of correlation because there is an obvious relationship between the two scenarios. The correct option is A.
What is a correlation?The statement "when more apples grew in the backyard, the pet cat stayed indoors for a longer time" is an excellent example to explain the difference between causation and correlation.
Is the very fact that the apples grew in the backyard what makes the pet cat stay indoors longer?
Sure, you know it isn't. sure there is another cause that influences both the growing of apples and the time the pet cats stay indoors. So, there is no causality relationship.
Given that some fact is influencing both phenomena, you find that they behave in a way that one permits predict the other, which is what correlation indicates, but not that one is the cause of the other.
When you know the cause you might change the final behaviour, but when you know that the variables are correlated you just can use one to predict the other.
Therefore, this is an example of correlation because there is an obvious relationship between the two scenarios. The correct option is A.
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8th grade word problem, show steps please (will give brainiest) :)
Answer:
There are 24 students and teachers that rode in vans, and there are 385 students and teachers that rode in buses.
Step-by-step explanation:
First we are going to set up a system of equations where:
b= number of buses
v= number of vans
We know from the equation that each bus transported 55 people and that each van transported 12 people and that there was a total of 409 people transported. We also know that the number of buses was 5 more than the number of vans.
Knowing that we can set up our system:
[tex]\left \{ {{55b+12v=409} \atop {b=v+5\\}} \right.[/tex]
Since we know what b is equal to, we can now use the substitution method to plug the value of b from the bottom equation into the one on the top and solve for variable v.
55(v +5)+12v =409
From there we can distribute 55 into (v+5)
55v +275+12v =409
We can now combine like terms.
67v +275 = 409
From there we subtract 275 from both sides of the equation to isolate the variable.
67v +275 = 409
-275 -275
After doing this, we now divide both sides of the equation by 67 to solve for v.
[tex]\frac{67v}{67} =\frac{134}{67}[/tex]
We now know that v, the number of vans is 2 and can plug that into our bottom equation from our system of equations ([tex]b=v+5[/tex]).
[tex]b=2+5\\b=7[/tex]
Knowing that there are 7 buses and 2 vans, we can now plug these numbers into the terms in the top equation of our system. 55b and 12v.
[tex]55(7)=385[/tex]
[tex]12(2)= 24\\[/tex]
385 people rode buses. 24 people rode vans
Check your equation
409 people went in total. 385 + 24 = 409.
person above is correct
Name 3 types of rational numbers you can plot on a number line.
Answer:
Center of the number line (origin)Positive rational numbers are marked on the right side of zero Negative rational numbers are marked on the left side of the zeroNoa drove from the Dead Sea up to Jerusalem. When she arrived in Jerusalem after 1.5, points, and 5 hours of driving, her altitude was 710 meters above sea level. Her altitude increased at a constant rate of 740 meters per hour.
y= ???
(this is Writing linear equations word problems)
correct answer gets brainly
Answer:
-400 meters below sea level
Step-by-step explanation:
740(1.5) +y=710
740 (1.5)+ 710
1010 + y =710
y= 710 -1110
so y is -400
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.
What is the relative frequency of selecting a diamond?
23%
25%
30%
42%
Answer:
23%
Step-by-step explanation:
Point A is located at (-5, -8). After it is translated, point A' is located at (-5, -5). What was the translation?
1. 3 units up
2. 3 units down
3. 3 units to the right
4. 3 units to the left
The x value is the same, the y value is different,
Y is the up and down movement.
Moving from -8 to -5 is an upward move of 3 units.
Answer: 1, 3 units up.
Monica has walked 3/2 miles in 2/3 of an hour. How many miles can Monica walk in one hour?
Answer:
2.25 Miles is how many miles Monica can walk in one hour.
Step-by-step explanation:
You take 3/2 which is 1.5 in decimal form then take the 2 out of 2/3 divide 1.5 by 2, you get 0.75 then you add 0.75 to 1.5 and you get 2.25 which is how many miles she walks in one hour.
Your classmate says that if she rolls a dice, it is highly likely that she will roll an even number. Identify whether she is correct or incorrect. Justify your answer in 1-2 complete sentences.
Please Help ASAP if you help with this please help with my other unanswered questions worth more points!
Answer: it's wrong
Step-by-step explanation: because there are 6 sides of a die, so there is a 1/6 chance of getting any number between 1 and 6.
reason: this'll help you know how to turn it into a fraction.
Chosen possibility of an action
over (or fraction bar)
total amount of possibilities
so now that you know why, now we find out the possibilities of rolling an odd and even numbers between 1 and 6.
1, 3, 5 = 3/6 = 1/2
2, 4, 6 = 3/6 = 1/2
which means there is 1/2 chance of getting either an even or an odd. so they are incorrect because they are as likely as to not likely to be rolled on.
Answer: they are wrong
Step-by-step explanation: there is 6 sides of a die, so there is a 1/6 percent chance and number between 1 and 6
1, 3, 5 = 3/6 = 1/2 = 50%
2, 4, 6 = 3/6 = 1/2+= 50%
Type a digit that makes this statement true.
321,30 is divisible by 4.
Submit
Answer:
321 304
Step-by-step explanation:
is divisible by 4 so is 321 308
Please help 10 points each but beware if you use my points for no reason I'll report you
Step-by-step explanation:
base=9
height=10
V =1/3 bh
V=1/3 x 9 x 10
V=30
hope it helps
Camille and her 3 teammates ran a 1500-meter relay in 5.564 minutes. What was the average running time for each team member?