Answer:
4.5 birds, 7.5 mice
Step-by-step explanation:
We know that birds have 2 legs and mice have 4. Furthermore, birds have 1 head as well as mice.
If b represents the amount of birds and m represents the amount of mice, because there are only birds and mice here, the total amount of birds and mice (b + m) must equal 12.
b + m = 12
Next, to find the total amount of bird legs, we must add 2 legs for each bird. Another way of putting this is to multiply 2 by the amount of birds, or b * 2. Similarly, the amount of mice legs is equal to m * 4. The total amount of legs is equal to 39, so
2b + 4m = 39
Our two equations are thus
b + m = 12
2b + 4m = 39
One way to solve this is to solve for m in the first equation and plug that into the second. We have
b + m = 12
subtract b from both sides
m = 12-b
substitute that into the second equation
2b + 4(12-b) = 39
2b + 48 - 4b = 39
-2b + 48 = 39
subtract 48 from both sides to isolate the b and its coefficient
-2b = -9
divide both sides by -2 to isolate b
b = 4.5
Therefore, there are 4.5 birds on the ground (there is somehow a half of a bird!)
Plugging that into m = 12-b, we have m = 12-4.5 = 7.5
if n(p(a)) = 256. find n(a)
n(p(a)) = 256
256 = 2^8
n(a) = 8
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Talia spent \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she spent on candy, \dfrac56 6 5 start fraction, 5, divided by, 6, end fraction was spent on gummy bears.
Answer:
15/24
Step-by-step explanation:
Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.
What fraction of this week's allowance did Talia spend on gummy bears?
Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.
Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.
This means that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.
A researcher performs a hypothesis test to test the claim that for a particular manufacturer, the mean weight of cereal in its 18 ounce boxes is less than 18 ounces. He uses the following hypotheses: H 0: μ = 18 vs H A: μ < 18 and finds a P-value of 0.01. Draw a conclusion about the cereal box weight at a significance level of 0.05.
Answer:
We conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
Step-by-step explanation:
We are given that a researcher performs a hypothesis test to test the claim that for a particular manufacturer, the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
Let [tex]\mu[/tex] = mean weight of cereal in its 18-ounce boxes.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 18 {mean that the mean weight of cereal in its 18-ounce boxes is equal to 18 ounces}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 18 {mean that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces}
Also, it is given that the P-value is 0.01 and the level of significance is 0.05.
The decision rule based on the P-value is given by;
If the P-value of our test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.If the P-value of our test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis as our test statistics will not fall in the rejection region.Here, clearly our P-value is less than the level of significance as 0.01 < 0.05, so we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.
Therefore, we conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
1. Look at the numbers listed below. Which numbers are rational? Select all that apply.
9.1874639...
424, 489
121
5/3
PLEaSE HELP!!!!!! will give brainliest to first answer
Answer:
The coordinates of A'C'S'T' are;
A'(-7, 2)
C'(-9, -1)
S'(-7, -4)
T'(-5, -1)
The correct option is;
B
Step-by-step explanation:
The coordinates of the given quadrilateral are;
A(-3, 1)
C(-5, -2)
S(-3, -5)
T(-1, -2)
The required transformation is T₍₋₄, ₁₎ which is equivalent to a movement of 4 units in the leftward direction and 1 unit upward
Therefore, we have;
A(-3, 1) + T₍₋₄, ₁₎ = A'(-7, 2)
C(-5, -2) + T₍₋₄, ₁₎ = C'(-9, -1)
S(-3, -5) + T₍₋₄, ₁₎ = S'(-7, -4)
T(-1, -2) + T₍₋₄, ₁₎ = T'(-5, -1)
Therefore, the correct option is B
HELP ASAP!!!
What is the geometric mean of 7 and 56?
Geometric Mean = √(ab)
a = 7
b = 56
Geometric mean = √(7×56)
After prime factorization of 56 we get 2 × 2 × 2 × 7
√(7×7×2×2×2)
7×2√2
14√2
Therefore the answer is option d
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Answer:
I'll add this so that u can give that person brainliest ^^
P(x)=3x2-x-4
Then alpha + bita by alpha*bita =
Answer:
[tex] = ( \frac{ - b}{a} )( \frac{c}{a} )[/tex]
[tex] = ( \frac{ 1}{3} )( \frac{ - 5}{3} )[/tex]
[tex] = \frac{ - 5}{9} [/tex]
Answer:
- [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
P(x) = 3x² - x - 4
with a = 3, b = - 1 and c = - 4
If α and β are the roots of the quadratic then
α + β = - [tex]\frac{b}{a}[/tex] and αβ = [tex]\frac{c}{a}[/tex] , thus
α + β = - [tex]\frac{-1}{3}[/tex] = [tex]\frac{1}{3}[/tex] and αβ = - [tex]\frac{4}{3}[/tex]
Thus
α + β by αβ
= [tex]\frac{\frac{1}{3} }{-\frac{4}{3} }[/tex] = [tex]\frac{1}{3}[/tex] × - [tex]\frac{3}{4}[/tex] = - [tex]\frac{1}{4}[/tex]
Need help with 1 and 2
Answer:
1a. 128
1b. 81
1c. 64
1d. 25
1e. 343
1f. 100000
1g. 64
1h. 0
1i. 13
1j. 1
2a. 243
2b. 64
2c. 36
2d. 625
2e. 1331
2f. 10000000
2g. 81
2h. 0
2i. 17
2j. 1
Find the value of x.
Answer:
x = 10
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
6*x = 12*5
6x = 60
Divide by 6
6x/6 = 60/6
x = 10
Answer:
[tex]\huge\boxed{x = 10}[/tex]
Step-by-step explanation:
According to chord-chord theorem:
(x)(6) = (5)(12)
6x = 60
Dividing both sides by 6
x = 10
can someone plzz answer dis ma braincells dont seem to work
Answer:
Good luck undersatnding.
Step-by-step explanation:
1.
A) 27 (over) 4
B) 97 (over) 117
2.
C) 8
D) -243 (over) 32
3.
Square root of 25 is 5
Square root of 16 is 4
Square root of 9 is 3
Square root of 1 is 1
4.
E) 553 (over) 72
F) 11 (over) 56
G) 65 (over) 18
H) 28 (over) 9
5.
E) 35941
F) 81130
G) 79567.75
H) 20525.857
I dont know 7-8
9.
E) Negative
F) Positive
G) Positive
H) Negative
10.
Square root of 25 is 5
Square root of 64 is 8
Square root of 121 is 11
Square root of 225 is 15
I couldn't post images for 6, it wont let me.
please help i'm having a very hard time understanding this!
Hi there!
check the pic
#YoghurtCup!
Answer: F
Step-by-step explanation:
Put all numbers with 1 exponent.
[tex](\sqrt{8^4} *\sqrt{6^4} )^{\frac{3}{2} }\\\\=(2^{\frac{3*4}{2} }*(2^{\frac{4}{2} }*3^{\frac{4}{2}} )\ )^{\dfrac{3}{2} }\\\\\\=(2^6*2^2*3^2)^{\dfrac{3}{2} }\\\\=2^{8*\frac{3}{2} }*3^{2*\frac{3}{2}} \\\\\\\boxed{=2^{12}*3^3}\\\\\\Answer\ F[/tex]
Find the area of the following shape. Please show work.
Answer:
Step-by-step explanation:
The area of a triangle is given by the formula:
● A = (b×h)/2
b is the base and h is the heigth.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Draw the heigth. This gives you two small right triangles.
Let's focus on the right one containing 45°.
● sin 45° = h/8
● h = sin 45° × 8 = 4√(2)
■■■■■■■■■■■■■■■■■■■■■■■■■■
Replace h by its value in the area formula. The base is 17
● A = (17× 4√(2))/ 2
● A = 34√(2)
● A = 48.08
Round to the nearest unit
● A = 48
Answer:
Area = 48 sq. units
Step-by-step explanation:
will make it short and simple.
area of a triangle = 1/2 * a * b * sinФ
area = 1/2 * 17 * 8 * sin(45°) = 48 sq. units
Quickly please help
Answer:
6
Step-by-step explanation:
f(x)=2x^3-5x when x=2. So f(2)=6
Please help!!!! I’m unsure of the answers
Answer:
table:
.1, .25, .35, .2, .1
p(x=4) = .1
p(x<2) = .35
p(3≤x≤4)= .55
1.95, 1.12
Step-by-step explanation:
this is kind of hard to read, but i think i've got it
mean:
0*.1+1*.25+2*.35+3*.2+4*.1= 1.95
The second moment:
0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05
the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean
5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12
Solve for x in the diagram below.
Answer:
x = 45
Step-by-step explanation:
180 = (2x + 45) + x
135 = 2x + x
135/3 = 3x/3
45 = x
Answer:
x = 45
Step-by-step explanation:
The 2 given angles are adjacent snd sum to 180° , then
2x + 45 + x = 180 , that is
3x + 45 = 180 ( subtract 45 from both sides )
3x = 135 ( divide both sides by 3 )
x = 45
the set is points indicated by 12.is the ___ of the angle
Answer:
Vertex
Step-by-step explanation:
The vertex is the point were two rays meet to form an angle.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
38. Which equation represents the data in
the table?
Answer:
C. y = 2x -4
Step-by-step explanation:
We can use the points (0, -4) and (2, 0).
y = mx + b (m is slope, b is y-intercept)
m = delta y / delta x
m = 4 / 2
m = 2
y = 2x + b
We can plug in (2, 0):
0 = 4 + b
b = -4
y = 2x - 4
Answer:
C. y = 2x - 4
Step-by-step explanation:
In this problem, you can use two equations. The equation for slope. y₂-y₁ ÷x₂-x₁ = rise÷run otherwise simplified to m. Next, you need the linear equation, y=mx+b. Where you can directly input the m from the equation for slope. You can use the two points (3,2) and (2,0). 2-0÷3-2 = 2÷1 or 2. 2=m. Putting 2 into the next equation (y=mx+b) you now have y=2x+b.
Next use a point like (2,0) and input the x and y into the equation. (0)=2(2)+b.
0=4+b
-4 -4
-4=b
The equation is now. y=2x-4.
Mark currently works part time with a salary of $8000 per year mark plans to quit working and attend college for four years if his college cost will total $64,000 how long will it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating
The correct answer for this question is: If his college costs will total $64,000, it take Mark to recover his investment assuming he has a salary of $32,000 upon graduating for "2 years."
= 64,000 / 32, 000
= 2 years
Assuming that there'll be no additional costs in the middle of his college.
If you found this please brainliest it :)
Answer:
it is not 2 years
Step-by-step explanation:
if one square yard of carpet costs $15.40, how much will 45.5 square yards cost? ( value only, no commas, dollar signs, symbols, or units)
Work Shown:
1 square yard = 15.40 dollars
45.5*1 square yard = 45.5*15.40 dollars
45.5 square yards = 700.70 dollars
In the second step, I multiplied both sides by 45.5 to turn the "1 square yard" into "45.5" square yards.
5000 x 10 x 10 x 50
Answer:
5000 x 10 x 10 x 50 = 25000000
Step-by-step explanation:
you can just use a calculator....
Answer:
25000000
Step-by-step explanation:
Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.
Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a second equation for a line passing through the point (5,-5) that is perpendicular to the line x=-2.
Answer:
1. y=-2x+5
2. y=1/2x-7.5
Step-by-step explanation:
you plug in the cordinates for the y intercept and you already have the slope.
y=mx+b
m= slope which is -2
Complete the point-slope equation of the line through (8,−8) (9,8) Use exact numbers. y-8=
Answer:
y-8=16(x-9)
Step-by-step explanation:
slope m=y2-y1/x2-x1
m=8+8/9-8 ⇒ m=16
y-8=m(x-x1)
y-8=16(x-9)
The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The points are given below.
(8, −8) and (9, 8)
The equation of the line that is passing through (8, −8) and (9, 8) will be given as,
(y + 8) = [(8 + 8) / (9 − 8)](x − 8)
Simplify the equation, then we have
(y + 8) = [(8 + 8) / (9 − 8)](x − 8)
(y + 8) = 16(x − 8)
y + 8 = 16x − 128
y = 16x − 120
The equation of the line that is passing through (8, −8) and (9, 8) will be y = 16x − 120.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ2
Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5)
Answer:
y=6x-23
Step-by-step explanation:
-5=6(3)+b
-5=18+b
b=-23
If this helps, plz give brainly, I rlly need it!
Answer:
6x-23
Step-by-step explanation:
WILL GIVE BRAINLIEST PLS HELP
Answer:
Hello
Step-by-step explanation:
[tex]y=2x^2-12x+19\\=2(x^2-6x)+19\\=2(x^2-2*3*x+9)+19-18\\=2(x-3)^2+1\\\\Vertex\ is\ (3,1)\\\\Axis\ of\ symmetry\ is\ x=3\\\\y-intercept\ is \\\\y=2(0-3)^2+1=19\\[/tex]
how to change mixed fraction into improper fraction and improper to proper fraction easy way
Answer with Step-by-step explanation:
To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.
For example: 4 1/5 = (5*4)+1/5=21/5
To change improper into proper mixed fraction,
Divide the numerator by denominator and write the remainder on numerator
For example: 7/2= 3 1/2
I really need an answer as soon as possible. 10 pts worth it
Answer:
A. Correct: When we plug in g(x) for the x in f(x), we get H(x).
B. Correct: When we plug in g(x) for the x in f(x), we get H(x).
C. Correct: When we plug in g(x) for the x in f(x), we get H(x).
D. Correct: When we plug in g(x) for the x in f(x), we get H(x).
Step-by-step explanation:
Brainliest, please!
The perimeter of a triangle is 24 cm.If it’s area is 24cm2 and it’s one of the three sides is 10 cm,find the sides of remaining
Answer:
The other sides are 6cm and 8cm
Step-by-step explanation:
Let the other 2 sides be x and y.
Using herons formula, we have an equation
24=sqrt(12*2*(12-x)*(12-y))
Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.
congruent complements theorem
Answer:
Congruent Complements Theorem If 2 angles are complementary to the same angle, then they are congruent to each other.
HOPE THIS HELPS
MARK IT BRAINLIEST!!!!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
B is correct
Step-by-step explanation: