x = 4, y = 1
Step 1: use the equations given to find an equation with only 1 term. Here I used x.
(x + 2y) + (x - 2y) = 2x = 6 + 2 = 8
2x = 8
x = 4
Step 2: substitute x = 4 into either given equation. Here I used the first equation x + 2y = 6.
(4 + 2y) = 6
2y = 6 - 4 = 2
y = 1
This solution can also be done by finding y in step 1 or using the other given equation in step 2.
Hope this helped!
What is the length of each segment?
Segment AB: from A(-2,1) to B(-2, 5)
Answer:
[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]
Answer:
4 units
Step-by-step explanation:
Graph: Y-3 = 1/2 (x + 2)
Move all terms not containing y to the right side of the
equation.
y= X/2+4
Rewrite in slope-intercept form.
y=1/2x+4
Use the slope-intercept form to find the slope and y
intercept.
Slope: 1/2
y-intercept: (0,4)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values. Answer: (0,4) (2,5)
What is the median ??
I will mark brainlest
I will report who ever sends me a link
Please only accurate answers
help fast please need answer quick
Answer:
Y =8x +1
Step-by-step explanation:
how many games did you bowl? does this question a statistical question. and why
Answer:
what does that mean I need more information
I need more info to answer the question
1. Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry,
Day Ants
Monday 0 5
Tuesday 1 15
Wednesday 2 45
Part A Determine an exponential function model (y=ab) to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B Does the problem situation represent exponential growth or decay? Justify your reasoning.
so what is really the answer?
2. Which of the options below show two numbers that are opposites? Select all that apply.
A) 8.9 and -8.9
B) -24 and 42
C) -15 and 51
D) -9.7 and 9.7
E) 2.8 and -2.8
Answer:
D) -9.7 and 9.7
E) 2.8 and -2.8
You received a gift in the mail. The length of the box is 12
inches, the width is 8
inches and the height is 10 inches. What is the total surface
area of the box in cubic inches?
ASAP please
Answer:
12x8x10=960
Step-by-step explanation:
A school administrator claims that 85% of the students at his large school plan to attend college after graduation. The statistics teacher at this school selects a random sample of 50 students from this school and finds that 76% of them plan to attend college after graduation. The administrator would like to know if the data provide convincing evidence that the true proportion of all students from this school who plan to attend college after graduation is less than 85%. What are the values of the test statistic and P-value for this test?
Find the z-table here.
z = –1.78, P-value = 0. 0375
z = –1.78, P-value = 0. 0750
z = 1.78, P-value = 0.0375
z = 1.78, P-value = 0. 0750
Answer:
The first where z = -1.78 and p-value = 0.0375 would be the correct answer
Hope it helps
Using the z-distribution, it is found that the test statistic and the p-value of the test are given as follows:
z = –1.78, P-value = 0.0375.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 85%, that is:
[tex]H_0: p = 0.85[/tex]
At the alternative hypothesis, it is tested if it is less than that, hence:
[tex]H_1: p < 0.85[/tex].
What are the test statistic and the p-value?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]n = 50, \overline{p} = 0.76, p = 0.85[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.76 - 0.85}{\sqrt{\frac{0.85(0.15)}{50}}}[/tex]
z = -1.78.
Using a z-distribution calculator, considering that we have a left-tailed test, as we are testing if the proportion is less than a value, the p-value is of 0.0375.
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Janine has 48 hockey cards in one book and 105 hockey cards in another book. The hockey cards come in packages of 5 cards. If Janine bought all of her hockey cards in packages, how many packages did she buy?
Answer: 31
Step-by-step explanation:
Janine has 48 hockey cards in one book and 105 hockey cards in another book. Therefore, the total hockey cards will be:
= 48 + 105
= 153 hockey cards
Since the hockey cards come in packages of 5 cards, the number of packages that she will buy will be:
= 153/5
= 30 3/5
= 31
Therefore, she'll buy 31 packages
a sphere is inscribed in a cube. the edge of the cube is 12 cm. what is the volume of the cube and sphere?
As you can see sphere's diameter = to a cube's edge...so the diameter of the sphere is also 12 cm. So its radius is 6 cm.
v= 4/3*πr³
v=4/3*3.14*6³
v=904.32
The volume of the sphere is about 904 cubic centimeters.
Hope this helps!
help please and simplify answer in radical form if needed
Answer:
[tex]16\sqrt{3}\:\mathrm{units^2}[/tex]
Step-by-step explanation:
The area of an equilateral triangle with side length [tex]s[/tex] is equal to [tex]\frac{\sqrt{3}}{4}s^2[/tex]. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is [tex]24\div 3=8[/tex] units.
Substituting in this value, we get:
[tex]\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}[/tex]
calculate the surface area of the rectangular prism to the tenth of a square centimetre
Answer:
A=152.32 cm^2
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(6.8*3.4+5.2*3.4+5.2*6.8)
A=2(23.12+17.68+35.36)
A=2(76.16)
A=152.32
matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two houses? A. Two miles b. 10 miles c. 100 miles d. 4 miles
Answer:
Step-by-step explanation:
2miles
The required shortest between the two houses is given as 10 miles. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.
Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.
Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,
x = √[8² + 6²]
x = √[100]
x = 10 miles
Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.
Learn more about Pythagorean triplets here:
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Name an angle supplementary to angle COD.
Answer:
ur question is incomplete. what is angle COD
An archery target consists of an inner circle and four concentric rings. The width of each ring is equal to the radius r of the inner circle. Enter a rational expression in terms of r that represents the probability that an arrow hitting the target at random will land in the inner circle. Then simplify the expression.
Answer:
0.4
Step-by-step explanation:
Radius of inner circle = r
Radius of entire circle = r + r + r + r + r = 5r
Probability that an arrow hitting the target will land on inner circle ;
Area of inner circle / area of entire circle
Recall :
Area of circle = πr²
Hence ;
πr² / π(5r)² = πr² / π25r² = 1 / 25 = 0.4
the eqition of the diagonal of a parallelogarm is 3y=5x+k . the two opposite vertices of a parallelogram are the points (1,-2),(-2,1). find the value of k .
There man i hope you'll understand ✌
Can someone help me out with the last three, will mark as brainliest if correct!
Answer:
x = 65
y = 71
z = 44
Step-by-step explanation:
y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent
Which of the following is a pair
of equivalent radical expressions?
The radicals [tex]\sqrt{180}[/tex] and [tex]3\sqrt{20}[/tex] are equivalent.
What is radical?
A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction.
Which option shows equivalent radical?The value of [tex]\sqrt{54}[/tex] is [tex]3\sqrt{6}[/tex] which is not equivalent to [tex]9\sqrt{6}[/tex] .
The value of [tex]\sqrt{180}[/tex] is [tex]6\sqrt{5}[/tex].
The value of [tex]3\sqrt{20}[/tex] is [tex]6\sqrt{5}[/tex].
The radicals [tex]\sqrt{180}[/tex] and [tex]3\sqrt{20}[/tex] are equivalent.
Therefore, the correct option is b.
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do the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table x 1,2,5,10 y 6,12,30,60
Answer:
Step-by-step explanation:
y = 6X
so this is a direct variation , b/c as X goes up, so does Y
The equation that models the data is y = 6x
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To determine whether the data in the table represents a direct or inverse variation, we need to check whether the ratio of x to y is constant.
When we divide each y-value by its corresponding x-value, we get the ratios:
6/1 = 6
12/2 = 6
30/5 = 6
60/10 = 6
We see that the ratio of y to x is constant, which means that the data represents a direct variation.
To write an equation to model the data in the table, we can use the formula for direct variation, which is:
y = kx
where k is the constant of variation.
To find k, we can use any of the given data pairs.
For example, we can use the first pair (x = 1, y = 6):
6 = k(1)
Solving for k, we get:
k = 6/1 = 6
Thus,
The equation that models the data is y = 6x
Learn more about equations here:
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What is the distance of this figure, I have the answer it’s 140 ft I just need to show the work
The sum of the interior angles of the 10-sided polygon on the left is °
Answer:
1440 it is right because
Step-by-step explanation:
Decagon is a 10-sided polygon.
Formula to find the sum of interior angles of a n-sided polygon is
= (n - 2) ⋅ 180°
By using the formula, sum of the interior angles of the given decagon (10-sided polygon) is
= (10 - 2) ⋅ 180°
= 8 ⋅ 180°
= 1440°
Answer:
The answer is indeed 1440.
Step-by-step explanation:
please help i need someone to answer quickkkkk
y=2x-3 is the answer.
Note that y=2(x+3) is the same as y=2x+6, which has a slope of 2. Any parallel line must also have a slope of 2, so the answer must be either C or D. Since option D is the same line and will have points in common with the original line, the answer is C.
Find the surface area of this shape
PLS HELP, AM NEEDING TO TURN THIS IN, IN LIKE AN HOUR
Answer:
48.25
Step-by-step explanation:
When finding an area of a triangle it is area = base times height divided by 2.
AKA a =bh1/2
We can do that for all sides in this equation.
For the bottom we can do:
5*4.3=21.5 21.5/2 = 10.75
For one side we can do:
5*5 = 25 25/2 = 12.5
12.5 = one side, but there are three so,
12.5*3 = 37.5
37.5 + 10.75 = 48.25
All of the following are benefits (the "pro's") of having a credit card, EXCEPT which one?
a.
Credit cards are portable, and you won't have to carry as much cash.
b.
Credit cards are convenient to use, and you can buy now and pay later.
c.
Credit cards make it very easy to take on revolving debt.
d.
Credit cards are very helpful for emergency purchases.
e.
Credit cards can help build your credit rating if used responsibly.
PLEASE HELP ME LOL (with the word problem in the picture)
Also don’t put the answer in a link
Answer:212
Step-by-step explanation:
Answer:
It is 278cm
Step-by-step explanation:
Add 220cm and 58cm
Cual transformación produce acercamientos de las gráficas al eje de Y en el plano de coordenadas
Answer:
El eje horizontal en el plano de coordenadas se llama eje-x. El eje vertical se llama eje-y. El punto en el que los dos ejes se intersectan se llama origen.
Step-by-step explanation:
Help me with these two questions please.
Answer:
bro it's blurry
Step-by-step explanation:
why is it so blurry
PLEASE ASAP ILL GIVE BRAINLIEST.
PLS HELP WILL GIVE BRAINLEST AND GIVE 50 POINTS
Answer:
Basically you add all the numbers shown there and divide by how many there are. So you just get the sum and divide that by 11 since there are 11 numbers. Happy to help! (mean)
Step-by-step explanation:
Answer:
c, c, b
Step-by-step explanation: