Answer: [tex]x=-3\\y=8[/tex]
Step-by-step explanation:
[tex]3x+y=-1\\2x+3y=18[/tex]
Multiply by -3 the upper equation to make y equal in value but with opposite signs.
[tex](-3)(3x+y=-1)\\-9x-3y=3[/tex]
Now add equation 1 and 2.
[tex]-9x-3y=3\\2x+3y=18[/tex]
--------------------------
[tex]-7x=21[/tex]
Solve for x;
To isolate x, divide by -7
[tex]\frac{-7x}{-7}=\frac{21}{-7}[/tex]
[tex]x=-3[/tex]
Now use one of the equations above and replace the value of x.
[tex]3x+y=-1\\3(-3)+y=-1\\-9+y=-1\\y=-1+9\\y=8[/tex]
To prove if it's correct, take either equation and replace both x and y values, if the results are equal to each other, it is correct.
[tex]2x+3y=18\\2(-3)+3(8)=18\\-6+24=18\\18=18[/tex]
Express this number in standard form.
9.647 x 10^7= ?
Answer: 9647
Step-by-step explanation:
Answer:
9647000
Step-by-step explanation:
I don’t understand what to do with this one
Answer:
1 2/3
Step-by-step explanation:
Change the mixed number to an improper fraction
5 5/6 = (6*5+5)/6 = 35/6
Multiply the improper fraction by the fraction
5 5/6 * 2/7
35/6 * 2/7
70/42
Divide the top and bottom by 14
5/3
Changing back to a mixed number
3/3 +2/3
1 2/3
An experiment consists of spinning a spinner. The table shows the results. Find the experimental probability that the spinner does not land on red. Express your answer as a fraction in simplest form.
Red: 10
Purple: 11
Yellow: 13
The experimental probability that the spinner does not land on red is 12/17.
Explanation:The question asks to find the experimental probability that a spinner does not land on red. To find this, we add the number of times the spinner landed on colors other than red and divide that sum by the total number of spins. In the given experiment, the spinner landed on purple 11 times and on yellow 13 times. Therefore, the total number of non-red outcomes is 11 (purple) + 13 (yellow) = 24.
The total number of spins is the sum of red, purple, and yellow outcomes: 10 (red) + 24 (non-red) = 34. The experimental probability of not landing on red is the number of non-red outcomes divided by the total number of spins, which gives us 24/34, which simplifies to 12/17.
Final answer:
The experimental probability that the spinner does not land on red is ⅔ or 12/17.
Explanation:
The question asks to find the experimental probability that the spinner does not land on red. To calculate this, we need to consider the total number of spins and the number of times the spinner did not land on red.
In this experiment, there were 10 instances of landing on red, 11 on purple, and 13 on yellow. To find the total number of spins, we add these together:
10 (red) + 11 (purple) + 13 (yellow) = 34 total spins
Now, to find the number of spins that did not land on red, we only consider the purple and yellow ones:
11 (purple) + 13 (yellow) = 24 non-red spins
The experimental probability is the number of non-red spins over the total number of spins:
Experimental probability = number of non-red spins / total number of spins = 24/34
To simplify this fraction, we divide both the numerator and the denominator by the greatest common factor, which is 2 in this case:
24 ÷ 2 = 12
34 ÷ 2 = 17
So, the probability in simplest form is:
Experimental probability = 12/17
With one mighty swipe of his sword, the knight cut off the flying dragon's head. If the dragon's head weighed 56.7 kg, how much force was used by the head to fall to the ground?
Answer:
The force used to fall by the head is
556.3N
Step-by-step explanation:
Given the the dragon's head has a mass m=56.7kg
Let us assume the acceleration due to gravity of the dragon's head is
9.81m/s^2
We know that the force
F=m*g
Substituting our data into the expression we have
F= 56.7*9.81
F= 556.2N
What is s
1 /2 s + 38 = 1642
Step-by-step explanation:
1/2s+38=1642
0.5s=1642-38
s=1604/0.5
s=3208
Please someone answer urgent will give thanks and mark brainliest
h(x) = -5x2 + 10x + 15
What is the height of the stone at the time it is thrown?
Answer:
The height of the stone at the time it is thrown is 15.
Step-by-step explanation:
You have a quadratic function of the form h (x) = ax² + bx + c. In this case it is h (x) = -5x²+10x+15, where a =-5, b =10, c =15, x is the time and h (x) is the height of the stone after being thrown.
The moment the stone is thrown is instant zero. So if x = 0, h (0) is calculated:
h(0)= -5*0² +10*0 +15
h(0)= 0 + 0 + 15
h(0)= 15
The height of the stone at the time it is thrown is 15.
You play a game that involves rolling a die. You can roll as many times as you want, but if you roll a six your score is zero and your turn is over. You attempt to devise a good strategy by simulating several plays to see what might happen. On what roll do you expect to get a six for the first time?
Answer:
6
Step-by-step explanation:
P(6) = ⅙
Expected no. of trials for first 6:
1 ÷ (1/6) = 6
What is 87.5% of 8?
Answer:
7
Step-by-step explanation:
Convert 87.5% to a decimal.
87.5%/100%=.875
Multiply it with 8 to get 7
.875*8=7
Answer:
7
Step-by-step explanation:
3(2x + 11) and (3x + 15)(2)
Answer:
3(2x+11)= 6x+33 and (3x+15)(2) = 6x+30
Step-by-step explanation:
Use distributive property to multiply the outside factor to each factor inside the parenthesis.
3(2x+11)
(3*2x)+(3*11)
6x+33
No, the given expressions 3(2x + 11) and (3x + 15)(2) are not equivalent.
Used the concept of distributive property that states,
The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.
Given that the expressions are,
3(2x + 11) and (3x + 15)(2)
Now apply the distributive property in each expression,
3(2x + 11)
(3 × 2x) + (3 × 11)
6x + 33
(3x + 15)(2)
(3x × 2) + (15 × 2)
6x + 30
Therefore, both expressions are not equivalent.
To learn more about the distributive property visit:
https://brainly.com/question/2807928
#SPJ6
The complete question is,
Identify the equivalent expression,
3(2x + 11) and (3x + 15)(2)
What is the volume of a sphere with a radius of 4.5 inches?
Use 3.14 for .
Answer:
V≈381.7in³
Step-by-step explanation:
V=4/3πr³
=4/3•π•4.5³
≈381.70351in³
The volume of a sphere with a radius of 4.5 inches, calculated using the volume formula V = 4/3 * π * r^3, comes out to approximately 381.51 cubic inches.
Explanation:The volume of a sphere can be calculated using the formula for volume, V = 4/3 * π * r^3, where V denotes the volume, π is approximately 3.14, and r is the radius of the sphere. In this case, the radius (r) of the sphere is 4.5 inches. Plugging these values into our formula gives:
V = 4/3 * 3.14 * (4.5)^3
When you perform the calculations, you'll find the volume of the sphere to be approximately 381.51 cubic inches.
Learn more about Volume of Sphere here:https://brainly.com/question/32048555
#SPJ2
Hi I was wondering if I could get help on this please
Answer:
B
Step-by-step explanation:
The equation of line is y=-1/2 x+3 as it takes the form of y=mx+c
From this, the graph having gradient of -1/2 then the line will run from left to right. This eliminates options A and D
The pictures are not clear but we must ensure where the line crosses y intercept, the value of y should be 3 hence the only graph having these properties is option B.
Briana is looking at the nutrition information on a bag of popcorn. According to the label, a single serving is 1/6 of the bag. How many servings are there in 4 bags?
Answer:
There are 2/3 of the content as servings in 4 bags
Step-by-step explanation:
In this question, we are asked to calculate the amount of servings in 4 bags
From the question, we can see that the amount of servings in a single bag is 1/6 of the bag.
Now the number of servings in 4 bags will be mathematically equal to ; 1/6 + 1/6 + 1/6 + 1/6 = 4 * 1/6 = 4/6 = 2/3
This means that in 4 bags, 2/3 of the total content is the servings
The perimeter of a rectangular field is 368 yards. If the width of the field is 87 yards, what is it’s length
Answer: The length of the rectangle would be 97 yards.
Step-by-step explanation:
87 multiplied by 2 would be 174.
Subtract 174 from 368 to get 194.
194 divided by two equals 97.
To check,
97 plus 97 equals 194.
87 plus 87 equals 174.
174 plus 194 equals 368, the perimeter.
Solve for x. 8^(x+3)=32
Answer:
x = -4/3
Step-by-step explanation:
8^(x+3)=32
2^3 = 8
2^5 = 32
3( x + 3 ) = 5
3x + 9 = 5
3x = -4
x = -4/3
Tell me if I am wrong.
Can I get brainliest
Answer: x= -1 1/3 as a mixed number
Step-by-step explanation:
Evaluate (5x – 4y) = z2 when x = 4, y = 1, and z = 3.
Step-by-step explanation:
= ( 5x - 4y) = z2
Putting the values given
= 5 (4) - 4(1) = (3)2
= 20 - 5 = 6
= 15 = 6
= 15 - 6
= 9
70 divided by the ratio 3:2
Answer:
42 : 28
Step-by-step explanation:
Sum the parts of the ratio , 3 + 2 = 5
Divide 70 by 5 to find the value of one part of the ratio
70 ÷ 5 = 14 ← value of 1 part of ratio, thus
3 parts = 3 × 14 = 42
2 parts = 2 × 14 = 28
70 divided in the ratio 3 : 2 is 42 : 28
There are 12 white shirts, 8 blue shirts, and 6 red shirts on a rack. Which colors have a ratio of 3:4?
Answer:
8:12 or blue to white
I hope this helps! If it does, please mark brainliest UwU
Consider ΔABC, where ∠C = 90° and ∠A + ∠B = 90°. Click on the statements that are true about the relationships of the angles Angles A and B are complementary angles. If sin A ≈ 0.766, then sin B ≈ 0.766. If sin A ≈ 0.766, then cos B ≈ 0.766. If cos B ≈ 0.766, then the sin A ≈ 0.766,
Answer: Angles A and B are complementary angles
If Sin A ≈ 0.766 then Cos B ≈ 0.766.
If Cos B ≈ 0.766 then Sin A ≈ 0.766
Step-by-step explanation: In any given right angled triangle, one angle measures 90 degrees while the addition of the other two angles equals to 90 degrees. Hence if angle C is given as 90 degrees, then angles A and B added together equals 90 degrees (complementary angles equal 90 degrees).
Also, Sin A cannot be the same value as Sin B, since angle A and angle B are not equal in measurement. However, being complementary, the Sin of angle A equals the Cos of angle B.
If Sin A ≈ 0.766, then angle A ≈ 50 degrees
That makes angle B equal to 40 degrees. The Cos of B ≈ 0.766
Therefore if Sin A ≈ 0.766, then Cos B ≈ 0.766
If Cos B ≈ 0.766 then Sin A ≈ 0.766 are both correct
F(x)=4x+3x g(x)=2x-5 find (f-g)(x)
What is the missing length?
Answer:
The answer to your question is 7 in
Step-by-step explanation:
Data
base = 14 in
area = 98 in²
Formula
Area of a parallelogram = base x height
-Solve for height
height = Area of a parallelogram / base
-Substitution
height = 98 / 14
-Simplification
height = 7 in or p = 7 in
-Conclusion
The length of p = 7 in
Which of the following are properties of the circumcenter of a triangle? Check all that apply.
Answer:A B D
Step-by-step explanation:
B, circumcenter of an acute triangle is inside of it, the circumcenter of an obtuse triangle is outside of it, and the circumcenter of a right triangle is on the hypotenuse. C, Thats the definition. D, it also goes with C.
Which triangle has hypotenuse Side A E?
A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E.
triangle BAE
triangle CAE
triangle GAE
triangle HAE
Answer: correct answer is triangle HAE
Step-by-step explanation:
Volume of a hemisphere when radius is 2.5?
Answer:
that is the solution to the question
What is the surface area of the triangular pyramid shown?round to the nearest tenth.
Answer:
57.6 cm/mm/m/in/ft squared
Step-by-step explanation:
You will need to answer the each triangle separately which you have to use the formula 1/2*b*h
5.2*1/2(6) = 15.6
4*1/2(6) = 12
5*1/2(6) = 15*2 (2 sides)
total = 57.6 cm/mm/m/in/ft squared
hope this helps
Solve for x: -4x - 4 = -4(x + 2)
Answer:
no solution
Step-by-step explanation:
-4x - 4 = -4(x + 2)
Distribute
-4x -4 = -4x -8
Add 4x to each side
-4x+4x - 4 = -4x+4x -8
-4 = -8
This is never true so there is no solution
Find the value of x
we apply alternate angles approach to solve questions like this
A bacterium in a petri dish multiplies by a factor of 31 every day. On day O,
there is 1 bacterium; on day 1, there are 31 bacteria; on day 2, there are
bacteria; on day 3, there are
bacteria, and so on.
What logarithmic equation can be used to find the number of days it takes for
a colony of 1 bacteria to develop?
Answer:
Step-by-step explanation:
Given that,
The bacterial increase a factor of 31 every day ,
Day 0 = 1 bacterium = 31^0
Day 1 = 31 bacterial = 31¹
Day 2 = 31× 31 bacterial = 31²
Day 3 = 31 × 31 × 31 bacterial = 31³
And so on,
Then, nth day will have
Day n = 31ⁿ bacterial
So, when will the bacterial be 1,000,000,000
Then,
31ⁿ = 1,000,000,000
Take the Natural logarithmic to base 31 of both sides
Log_31 (31)ⁿ = Log_31 (1,000,000,000)
n•Log_31 (31) = Log_31 (1,000,000,000)
Then, log_a (a) = 1
n = Log_31 (1,000,000,000)
Check attachment for better view
Then,
The correct answer is A
7. It takes ounces of honey to make one apple pie. Betty baked 4 apple
pies. She also baked 4 pecan pies. Each pecan pie takes 4.4 ounces of
honey. How much honey did Betty use to bake the apple and pecan
pies?
ir
Answer:
17.6 ounces to make the pecan pies. I dont know how much honey she used to make the apple pie so if you could pls say I could edit the answer :)
Step-by-step explanation:
Betty used a total amount of honey equal to 4 times the ounces of honey needed for one apple pie plus 17.6 ounces of honey for the pecan pies. The exact total amount of honey used cannot be determined without knowing the amount of honey (x) used in an apple pie.
Explanation:The question is asking how much honey Betty used to bake apple and pecan pies. First we need to determine the amount of honey required per pie and then add the total amounts for each type of pie. Let's say it takes x ounces of honey to make one apple pie. Since Betty baked 4 apple pies, she would use 4x ounces of honey for the apple pies. For the pecan pies, each requires 4.4 ounces of honey, so for 4 pecan pies she would use 4 × 4.4 ounces which equals 17.6 ounces of honey.
To find the total honey used, add the honey used for apple pies and pecan pies: 4x + 17.6 ounces. Without the specific amount of honey for the apple pies (x), we cannot calculate the exact total amount of honey used.
Can 9,15,20 be a right triangle