Answer:
Both are rational.
Step-by-step explanation:
As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.
And we know the product of two integers is an integer
p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.
Thus a+b and a-b is rational.
(Please help!) What is the value of x?
B
(x + 5) ft 910
8 ft
more
91°
А
38°
P.
38°
13 ft
13 ft
R
X=
Answer:
x = 5.1
Step-by-step explanation.
Our first step is to find all the angles. If b = 91 degree and c is 38, a. has to be 51 because all triangles add up to 180 degree. Because we have both B and b, we can use sine law.
a/A 13/sin91 c/38
we can use b in this situation.
The legnth of a is 10.1.
So, x-5 would be 5.1
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
Latoya has b decks of cards . Each deck has 52 cards in it , what is the expression for the total numbers of cards latoya has
Answer:
52b
Step-by-step explanation:
She has 52 cards per deck, and b decks.
This means she has 52b cards.
How this works:
For 1 deck, she has 52 cards, or 52×1 cards.
For 2 decks, she has 104 cards, or 52×1 cards.
For 5 decks, she has 260 cards, or 52×5 cards.
For 10 decks, she has 520 cards, or 52×10 cards.
Therefore, for b decks, she has 52×b, or 52b cards.
**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!
what is the measure of x
Answer:
56.25°
Step-by-step explanation:
cos x° = b/h = 15/27 = 5/9
x° = cos^(-1) (5/9) = 56.25°
What are the solutions to the equation 0=x^2+4x+8?
Answer:
this are the equation I was taught
Step-by-step explanation:
_(x2+4x+8)=0
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9
Some one please help me at this point I am so tireddd thankyou
Answer:
4b+8 is 12b I'm pre sure
dont know about the rest sorry
Please please help me
Answer:
22is the answer cuz it is
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
here 4 and 9 are the legs of the right angled triangle so let them be a and b respectively . third side is the hypotenuse because it is opposite to 90 degree so let it be c.
4^2 + 9^2 = c^2
16 + 81 = c^2
97 = c^2
[tex]\sqrt{97} = c[/tex]
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
Can someone help me with this question please
Answer:
the anwser is d
Step-by-step explanation:
Here we are given that C is between A and B.
So using the midpoint rule, sum of whole length AB will be addition of lengths AC and BC
Hope that helps
Answer:
AC Or CA
Step-by-step explanation:
So, this is what a b and c would look like on a number line:
A----C----B
However, we dont know exactly what these variables are. THey could be somerthing like this:
A------------------C-B
But this doesnt matter.
If we look at the first numberline, A and C make up the first half of the numberline.
C to B make up the later half.
AB is the total numberline.
SO tecnically, A to C+ C to B = AB
Or:
AC + CB = AB
This can also be seen in the second numberline.
A to C make up almost all of the numberline.
C to B make up a smll amount.
But in the end, AC + CB will still make AB.
Hope this helps you! :D
can you help me do this Q please :)
Answer:
i didnt get it
Step-by-step explanation:
can you explain
the sum of 25 and x is 48 find x. . Solve.
Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Answer:
[tex]x =23[/tex]
Step-by-step explanation:
Sum of 25 and x
[tex]25 + x[/tex]
Sum of 25 and x is 48
[tex]25 + x = 48[/tex]
Now lets simply Solve the equation
[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]
Hope this helps you.
Have a nice day!
Problema de Ecuación de la demanda La demanda semanal para un CD es de 26 mil unidades cuando el precio es de $12 cada una, y de 10 mil cuando el precio unitario es de $18. Encuentra una ecuación de la demanda para el CD suponiendo que es lineal.
Answer:
d(x) = - 2666.67*a + 42000
Step-by-step explanation:
Vamos a llamar a d(x) la ecuación de la demanda de CD, entonces como la relación entre las dos variables es lineal la ecuación de la demanda es del tipo:
d(x) = a*x + b (1)
en esa relación a es la pendiente de la recta y b es el intercepto con el eje y que en este cas es el eje de valores de d(x).
Tenemos dos condiciones que cumplir y dos incógnitas que determinar ( a y b).
Cuando el precio ( x = 18 $ ) el monto de d(x) es de 10000 entonces por sustitución en la ecuación general (1)
10000 = 18*a + b (2)
Y cuando ( x = 12 $) d(x) = 26000
26000 = 12*a +b (3)
Resolviendo para a y b el sistema de dos ecuacions con dos incógnitas tenemos:
restando ec 3 - ec 2
16000 = - 6*a
de donde a = - 16000/6
a = - 2666.67
Llevando ese valor a ec 2
10000 = 12 *(- 2666.67) + b
10000 + 32000 = b
b = 42000
Finalmente la ecuación buscada es:
d(x) = - 2666.67*a + 42000
Como la pendiente es negativa significa que d(x) va decreciendo cuando x va en aumento
I need help on this question. I hope you can help!
Answer:
54
Step-by-step explanation:
Since triangle ABC ~ DEF
Angle A = Angle D
Angle A = 54
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 25% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
- PLEASE HELP im in the middle of an exam
Answer:
1695.6 cubic feet
Step-by-step explanation:
Given that,
The corn fills 25% of the height of the silo.
The diameter of silo, d = 12 feet
Radius, r = 6 feet
Height, h = 60 feet
The volume of the part of the silo that is filled with corn is given by :
[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]
So, the required volume is equal to 1695.6 cubic feet.
A ball is thrown horizontally at the speed of 24 meters per second from the top of a cliff. If the ball hits the ground 6.0 seconds later, approximately how high is the cliff?
Answer:
[tex]h=4m[/tex]
Step-by-step explanation:
Speed [tex]V=24m/s[/tex]
Time [tex]t=6.0s[/tex]
Generally the equation for Height is mathematically given by
[tex]h=\frac{V}{t}[/tex]
[tex]h=\frac{24}{6}[/tex]
[tex]h=4m[/tex]
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
Solve unit rate problems- in a soccer league the ratio of boys to girls is 4 to 6 there are a total of 50 players in the soccer league determine how many girls play in the soccer league
A.30
B.20
C.10
D.50
Answer:
30 girls
Step-by-step explanation:
boys to girls
4 to 6
since there are 50 players we have
4*5= 20 to 6*5 =30
because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
Help me please i will give brainliest.
Answer:
1) 13 Students were surveyed
2) 3 students
3) 7 Students
4) 10 Books
Pls mark brainliest
Answer:
13 students were surveyed
3 students read 5 fiction books
7 students read more than 5 fiction books
The maximum number was 10
Step-by-step explanation:
Hope this helps
-Unbrand-
Sadly even though I answered first I didn't get any credit. Quite sickening.
HELP!!
BONUS!!!
PLS ANSWER A B C OR D
Answer:
About 1 1/2 :)
Step-by-step explanation:
The answer is 1.46 which is close to 1.5
help please i beg for help please
What is the standard form for the quadratic function?
f(x)=(x−3)2+5
f(x)=x2+14
f(x)=x2+6x−4
f(x)=x2−4
f(x)=x2−6x+14
Answer:
f(x)= x2 -4
Step-by-step explanation:
it is because it has no complex roots
find the length of arc RS. Use 3.14 for pie. Round to the nearest tenth.
3.10
Step-by-step explanation:
If you round 3.14 to the nearest tenth 4 is nearer to 10 than 20. Therefore, the answer is 3.10
Simplify the expression 2 (2 + 4y) + 3x.
PLS ANSWER ASAP DUE 9:20
Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
Which one of the following phrases best describes the line that passes through the
points (5, -7) and (a, -4), where a < 0?
o Rises from left to right
Falls from left to right
o Horizontal
o Vertical
The phrases best describes the line that passes through the points (5, -7) and (a, -4) is rise from left to right.
What are coordinates?Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis
As, we locate this coordinate in graph we can see the line will either rise from left to right or falls from right to left.
Hence, line that passes through the points (5, -7) and (a, -4) will rise from left to right.
Learn more about coordinates here:
https://brainly.com/question/12149933
#SPJ2
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
A bag contains balls of five different colors. Two are red, three are blue, ten are white, four are green and three are black. Balls are taken from the bag without looking, and not returned. What is the smallest number of balls that should be taken from the bag to be sure that two balls of the same color have been taken? please explain with the answer
Answer:
6
Step-by-step explanation:
The worst scenario is that of a slight possibility, the first 5 balls you took are completely different color. The chance of this happening is tiny, but if you want to be sure, then you should consider about it.
But, after taking out the sixth ball, you can be sure that the ball, now right on your hand, must share a same color with at least one of the balls you took out, since there are only five colors.
please tell me answers
Answer:
×=50,×+09+673-23
×=(33)+(2×)
