Answer:
2
Step-by-step explanation:
En un triángulo ABC, se traza la mediana BM, si AM = 5x - 4 y MC = 3x + 6. Calcula AC.
A) 5 B) 7 C) 14 D) 21 E) 42
Answer:
A) 5
Step-by-step explanation:
Solve for ppp. 16-3p=\dfrac23p+516−3p= 3 2 p+516, minus, 3, p, equals, start fraction, 2, divided by, 3, end fraction, p, plus, 5 p=p=p, equals
Given:
The given equation is:
[tex]16-3p=\dfrac{2}{3}p+5[/tex]
To find:
The value of p.
Solution:
We have,
[tex]16-3p=\dfrac{2}{3}p+5[/tex]
Multiply both sides by 3.
[tex]3(16-3p)=3\left(\dfrac{2}{3}p+5\right)[/tex]
[tex]48-9p=2p+15[/tex]
Isolating the variable terms, we get
[tex]48-15=2p+9p[/tex]
[tex]33=11p[/tex]
Divide both sides by 11, we get
[tex]\dfrac{33}{11}=p[/tex]
[tex]3=p[/tex]
Therefore, the required solution is [tex]p=3[/tex].
Answer:
p=3
Step-by-step explanation:
i got it right on khan
use the figure on the Pythagorean theorem to write an equation relating H, D and x
Answer:
h² + x² = d²
Step-by-step explanation:
h and x are legs. d is the hypotenuse.
h² + x² = d²
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Which equation can be used to determine the amount of cherry juice in each mixture?
5q + 3(8 – q) = 36
5q + 3(8 – q) = 8
q + (8 – q) = 8
q + 5 = 5q
Answer:
I think 5q+3(8-q) =36 is the answer for this question
Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.
What is the amount of cherry juice used?Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:
q + r = 8
5q + 3r = 36
The first equation can be rewritten as:
q + r = 8
r = 8 - q
Using substitution into the second formula we get:
5q + 3r = 36
5q + 3(8 - q) = 36
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If 2 apple and 5 bananas cost 4.20 dollars and 3 apples and 4 bananas coke 4.So dollars what is the price of a apple and banana
Answer:
An apple costs $0.45 and a banana costs $0.66.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
An apple costs x.
A banana costs y.
2 apple and 5 bananas cost 4.20 dollars
This means that:
[tex]2x + 5y = 4.2[/tex]
So
[tex]2x = 4.2 - 5y[/tex]
[tex]x = 2.1 - 2.5y[/tex]
3 apples and 4 bananas cost 4.
This means that:
[tex]3x + 4y = 4[/tex]
Since [tex]x = 2.1 - 2.5y[/tex]
[tex]3(2.1 - 2.5y) + 4y = 4[/tex]
[tex]6.3 - 7.5y + 4y = 4[/tex]
[tex]3.5y = 2.3[/tex]
[tex]y = \frac{2.3}{3.5}[/tex]
[tex]y = 0.66[/tex]
Then:
[tex]x = 2.1 - 2.5(0.66) = 0.45[/tex]
An apple costs $0.45 and a banana costs $0.66.
If a=(2x-5) and b=(2x+5),show that ab+25 -------- =x square 4
Step-by-step explanation:
Answer with explanation is in the attachment
Hope my answer is helpful to you
There are 219 people at the science camp. 112 people are enrolled in the chemistry class, and 45 people are enrolled in the physics class. How many students are enrolled in both classes if 79 students are not enrolled in either of them?
Answer:
The correct answer is - 17.
Step-by-step explanation:
Given:
total students = 219
in chemistry = 112
in physics = 45
not enrolled in either of these = 79
solution:
The number of students in both classes can be calculated by
P ( A or B) = P (A) + P (B) - P (A and B)
then putting and solving the given vaues in formula
=> (219-79) = 112+45-x
=> 140 = 157 -x
=> 17 = x
Suppose the group of 15 people consists of 7 men and 8 women. How many 6 person teams contain at most 3 men?
Answer:
3850 of those 6 person teams contain at most 3 men.
Step-by-step explanation:
The order in which the people are selected is not important, which means that the combinations formula is used to solve this question.
It drove 30.08 kilometers in an hour.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
0 men:
6 women from a set of 8. So
[tex]C_{8,6} = \frac{8!}{2!6!} = 28[/tex]
1 men:
5 women from a set of 8
1 men from a set of 7. So
[tex]C_{8,5}C_{7,1} = \frac{8!}{3!5!} \times \frac{7!}{1!6!} = 392[/tex]
2 men:
4 women from a set of 8
2 men from a set of 7. So
[tex]C_{8,4}C_{7,2} = \frac{8!}{4!4!} \times \frac{7!}{2!5!} = 1470[/tex]
3 men:
3 women from a set of 8
3 men from a set of 7. So
[tex]C_{8,3}C_{7,3} = \frac{8!}{5!3!} \times \frac{7!}{3!4!} = 1960[/tex]
How many 6 person teams contain at most 3 men?
28 + 392 + 1470 + 1960 = 3850
3850 of those 6 person teams contain at most 3 men.
7. La somme de deux multiples de 3 consécutifs est de 129. Quels sont ces deux nombres?
Answer:
Les deux nombres doivent avoir une différence de 3. Algébriquement, ce serait x + (x + 3) = 129. 2x est alors égal à 126. X est égal à 63 et x + 3 est à 66. Ces nombres sont des multiples consécutifs de 3 dont la somme est de 129.
Step-by-step explanation:
The two numbers must have a difference of 3. Algebraically, it would be x + (x + 3) = 129. 2x then is equal to 126. X equals 63 and x + 3 is 66. These numbers are consecutive multiples of 3 whose sum is 129.
Evaluate the following expression using the values given: (1 point)
Find 3x − y − 3z if x = −2, y = 1, and z = −2.
Determine whether ABC are functions:
A. (2,5) (3,7) (-1,4) (0, 6)
B.(-3, 1) (4, 2) (5,-2) (-3,-1)
C. (3,4) (-4, 6) (-1,0) (0,1)
A.
B.
C.
Answer:
A. Function
B. Not a function
C. function
Will Mark brainlest help please please pease
Answer:
6
Step-by-step explanation:
very easy.
this simply means what is the value of x, so that the result of the function is 7.
remember, the domain is the interval of valid values for x.
and the range is the interval of valid values of y (or functional results).
so,
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
so, for x = 6 the function delivers 7 as result.
Does the graph have even symmetry, odd symmetry, or neither ?
Answer:
Odd symetry I think
Step-by-step explanation:
Sorry I'm new can you be my friend too please?
Hope this helps!:)
Have a nice day.
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You can do anything you put your mind to
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This is it
A block is being dragged along a horizontal surface by a constant horizontal force of size 45 N. It covers 8 m in the first 2 s and 8.5 m in the next 1 s. Find the mass of the block.
Answer: 15kg
Can anyone please explain this sum with proper working?
Answer:
Solution: To determine mass of the block we can use second Newton' law \vec F=m\vec a
F
=m
a
. The force and acceleration according the problem is directed along a horizontal surface, and we can omit the vector sign in Newton's law. The force we know F=45NF=45N, thus we should deduce the acceleration. The problem does not specify the initial speed at which time began to count, so for the first time interval, we may write the kinematics equation in the form
(1) S_1=v_1\cdot t_1+a\frac {t_1^2}{2}S
1
=v
1
⋅t
1
+a
2
t
1
2
, where S_1=8m, t_1=2s S
1
=8m,t
1
=2s , other quantities we don't know. The similar equation we can write for next time interval
(2) S_2=v_2\cdot t_2+ a\frac{t_2^2}{2}S
2
=v
2
⋅t
2
+a
2
t
2
2
. where S_2=8.5m, t_2=1s S
2
=8.5m,t
2
=1s
Note that during the first time interval, the speed of the block increased in accordance with the law of equidistant motion and it became the initial speed of the second interval, i.e.
(3) v_2=v_1+a\cdot t_1v
2
=v
1
+a⋅t
1
Substitute (3) to (2) we get
(4) S_2=(v_1+a\cdot t_1)\cdot t_2+ a\frac{t_2^2}{2}=v_1\cdot t_2+a\cdot t_1\cdot t_2+a\frac{t_2^2}{2}S
2
=(v
1
+a⋅t
1
)⋅t
2
+a
2
t
2
2
=v
1
⋅t
2
+a⋅t
1
⋅t
2
+a
2
t
2
2
From equation (1) and (4) we can exclude unknown quantity v_1v
1
, then remain only one unknown aa. For determine aa we dived (1) by t_1t
1
, (4) by t_2t
2
to find the average speed at time intervals and subtract (1) from (4).
(5) \frac {S_2}{t_2}-\frac {S_1}{t_1}=v_1+a\cdot t_1 +a\frac {t_2}{2}-(v_1+a\frac{t_1}{2})=a\frac{t_1+t_2}{2}-
t
2
S
2
−
t
1
S
1
=v
1
+a⋅t
1
+a
2
t
2
−(v
1
+a
2
t
1
)=a
2
t
1
+t
2
− For acceleration we get
(6) a=2\cdot ( {\frac{S_2}{t_2}-\frac{S_1}{t_1})/(t_1+t_2)}=2\cdot \frac{(8.5m/s-4m/s)}{3s}=3ms^{-2}a=2⋅(
t
2
S
2
−
t
1
S
1
)/(t
1
+t
2
)=2⋅
3s
(8.5m/s−4m/s)
=3ms
−2
For mass from second Newton's law we get
(7) m=\frac{F}{a}=\frac{45N}{3ms^{-2}}=15kgm=
a
F
=
3ms
−2
45N
=15kg
Answer: The mass of the block is 15 kg
Solve for x.
11x – 32 = 31 + 8x
x = [?]
Answer:
x = 21
Step-by-step explanation:
11x – 32 = 31 + 8x
11x = 63 + 8x
3x = 63
x = 21
If the discriminant of a
quadratic equation is equal to -8, which statement describes the roots?
Answer:
Since -8<0 then the roots α and β of the quadratic equation ax^2 + bx + c = 0 are unequal and imaginary: α and β are a pair of the complex conjugates.
Work out 8^1/3 divide by 5^-2
Answer:
66.6666666667
Step-by-step explanation:
answer is 66.6666666667
The solution of the division of 5⁻² by 8^(1/3) will be 50.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given numbers will be solved as:-
Division = ( 8 ^ (1/3) / 5⁻²
Division = 2 x5²
Division = 50
Therefore, the solution of the division of 5⁻² by 8^(1/3) will be 50.
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Explain this to me I don't understand
Answer:
26.124
Step-by-step explanation:
SOH CAH TOA
tan 43 = about 0.933
than times it by 28 and get
26.124
plzzz need help steps if possible just plzz dont ignore plzzzz
Answer:
I think it is either B or C
Sorry if it is wrong
Step-by-step explanation:
Answer:
[tex]\text{(D) }\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}[/tex]
Step-by-step explanation:
We can use the Law of Sines to solve this problem. The Law of Sines works for any triangle and states that the ratio of any angle and its opposite side is maintained throughout all angles of the triangle:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]
In the figure, the angle marked 110 degrees has an opposite side labelled [tex]x[/tex]. However, the angle opposite to the side marked 20 is still unknown, so let's find it.
The sum of the interior angles of a triangle is always 180 degrees. Therefore, let the third angle be [tex]\theta[/tex]. We have:
[tex]\theta + 110^{\circ}+30^{\circ}=180^{\circ},\\\theta+140^{\circ}=180^{\circ},\\\theta=40^{\circ}[/tex]
Now we have the relevant angle and we can set up the proportion:
[tex]\boxed{\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}}[/tex]
HELP ASAP ILL GIVE BRAINLIST
Imagine that your best friend missed the lesson on how to solve a system of equations using the substitution method. You want to help him or her catch up in their math class, so you decide to write an e-mail describing what they missed. Write an email to your friend including:
An explanation of what a system of equations is
A general description of how to use the substitution method
An example of a system of equations
Your solution steps and explanations including the substitution method
Your final answer for the system
I'm just going to start writing the email XD (btw, bold = non-email parts/me talking)
Hey (Friend name),
You kinda missed math the other day, and being the nice friend I am, I decided to catch you up on what we learned.
We learned how to solve a system of equations using the substitution method.
A system of equations is a set of two or more equations with common variables. We use those two equations to solve for the variables.
One example might be:
3x+y=3
4x+3y=10
Solving each of these two equations by themselves would be impossible, so this is where the substitution method comes in.
Solving by substitution means that you first solve one equation for a variable, and then you substitute the value of that variable into the other equation. You might understand better if you see how I use this method to solve the previous system.
Step 1: Solve for y.
3x+y=3
Subtract 3x from each side.
y=3-3x
Step 2: Use the substitution method (plug in the y value).
4x+3y=10
4x+3(3-3x)=10
See how we plugged in the right side of the equation that is equal to y? Now only the x variable is left and we can easily solve it!
Step 3: Simplify to get x.
4x+9-9x=10
-5x=1
x=-1/5
Step 4: Use the substitution method AGAIN (for the y).
Now we plug in the x value into the equation for y.
y=3-3x
y=3-3(-1/5)
y=3-(-3/5)
y=18/5
The final answer is x=-1/5, y=18/5.
As you can see, using the substitution method to solve two impossible equations is how we can get the values of the variables they share! It's simple, quick, and easy!
Sincerely,
(your name)
I hope this helped! :D
how to do it?
let me figure it out
Answer:
Step-by-step explanation:
Use pythagorean theorem to get BC = 12cm and DC = 9cm after getting BC.
Sin(ø) = opp/hyp = 9 cm/15 cm = 3/5
Please help!!!
What is the measure of
Find x.
a. 30.9
b. 34.4
c. 17.1
d. 15.4
Answer:
x = 17.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 42 = x/23
23 cos 42 = x
17.09233 =x
Rounding to 1 decimal place
x =17.1
FOR BRAINLIEST ANSWER THIS ASAP
Write an equation for the line. Write it in the form: Ax + By = C 14 ) Through——————— (4, - 2) and (5, 1)
Answer:
-3x + y = -14
Step-by-step explanation:
m = 3/1 = 3
1 = 15 + b
b = -14
Y = 3x - 14
-3x + y = -14
in an exam,154 out of 175 passed.what percentage failed.
The percentage of failed students is 12%
We have,
Total number of students = 175
Number of students passed = 154
We need to calculate the percentage of the number of failed students.
How do we calculate the percentage?The formula used to calculate the percentage is:
[tex]\frac{ required~value}{total~value} \times 100[/tex]
Here,
Total value:
= Total number of students
= 175
Required value:
= Number of students failed
= Total number of students - Number of students passed
= 175 - 154
= 21
Percentage of failed students:
= [tex]\frac{21}{175} \times 100\\[/tex]
= ( 21 x 100 ) / 175
= 2100 / 175
= 12 %
The percentage of failed students is 12%.
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if a line crosses the negative y-axis and the negative x-axis, then its slope is
Answer:
that description would produce a negative slope..
see image
Step-by-step explanation:
Given that $x < 5$, rewrite $5x - |x - 5|$ without using absolute value signs. WILL GIVE BRAINLIEST
Answer:
6x-5 if x<5
Step-by-step explanation:
If x<5, then x-5<0.
If x-5 is negative, then |x-5)=-(x-5) or -x+5.
5x - |x - 5|
5x-(-x+5) provided x<5
5x+x-5 by distributive property
6x-5 combined liked terms
In a class of 40 students, 30 % likes Mathematics but not English, 45 % likes English but not Mathematics and 10 % students like other subjects
Step-by-step explanation:
what's the questions??
what's is 11 divided by 620
Answer:
0.017741
Step-by-step explanation:
Determine whether the equation represents direct, inverse, joint, or combined variation.
y = 4x^3z^3
