7. State the type of system of equations.
y + 5x = 6
5y + 25x = 80
Answers
Step-by-step explanation:
the systems of equations shown are parallel because they have the same slope
Related Questions
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options.
Answers
Answer:
m = negative StartFraction 10 over 4 EndFraction
m = negative five-halves
Step-by-step explanation:
Given equation :
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction
3/4 + m = - 7/4
Subtracting 3/4 from both sides
3/4 + m - 3/4 = - 7/4 - 3/4
m = - 10/4
m = - 5/2
Algebraic expression for 2a+3b-c if a=3 b=-4 c=-2
Answers
Answer:
-4
Step-by-step explanation:
a = 3
b = -4
c = -2
2a + 3b - c
= 2(3) + 3(-4) - (-2)
= 6 + (-12) + 2
= -4
How many number less than 300 is exactly divisible by 8, 12, 18?
Answers
Count how many multiples of 8, 12, or 18 there are in the range {1, 2, 3, …, 300}:
⌊300/8⌋ = 37
⌊300/12⌋ = 25
⌊300/18⌋ = 16
(where ⌊n⌋ denotes the floor of n, i.e. the largest integer that is smaller than n; for instance, 300/8 = 37.5, so ⌊300/8⌋ = ⌊37.5⌋ = 37)
Take pairwise LCMs, as well as the LCM of all three numbers:
LCM(8, 12) = LCM(2³, 2²×3) = 2³×3 = 24
LCM(8, 18) = LCM(2³, 2×3²) = 2³×3² = 72
LCM(12, 18) = LCM(2²×3, 2×3²) = 2²×3² = 36
LCM(8, 12, 18) = LCM(2³, 2²×3, 2×3²) = 2³×3² = 72
Count how many multiples there are of each of these LCMs that are less than 300:
⌊300/24⌋ = 12
⌊300/72⌋ = 4
⌊300/36⌋ = 8
Then, using the inclusion/exclusion principle, the number of numbers less than 300 that are exactly divisible by 8, 12, or 18 is
{multiples of 8} + {multiples of 12} + {multiples of 18}
- {multiples of 24} - {multiples of 72} - {multiples of 36}
+ {multiples of 72}
= 37 + 25 + 16 - 12 - 4 - 8 + 4 = 58
given m||n, find the value of x
Answers
Answer:
17 =x
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+7 = 10x-10
Subtract 9x from each side
9x+7-9x = 10x-10-9x
7 = x-10
Add 10 to each side
7+10 =x-10+10
17 =x
19. Charlotte has a success rate of about 20%
for making baskets in attempts during
basketball games. She wants to determine
the probability that she will have to make at
least 5 attempts during a game in order to
make a basket. She designed a simulation
where she spun a spinner that was divided
into 5 equal sections, one of which was
colored red. She counted how many times
she had to spin the spinner in each trial
before it landed on red. The results of her
20 trials are shown below.
5, 2, 7, 2, 3, 4, 10, 6,4,6,
3, 6, 6, 4, 8,5,7,7,1,5
According to this simulation, what is the
probability that Charlotte will have to
make at least 5 attempts in order to make
a basket?
Answers
Answer:
[tex]P(x \ge 5) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]S = \{5, 2, 7, 2, 3, 4, 10, 6,4,6,3, 6, 6, 4, 8,5,7,7,1,5\}[/tex]
[tex]n(S) = 20[/tex]
Required
[tex]P(x \ge 5)[/tex]
First, we count the number of trials that are at least 5
[tex]x = \{5, 7, 10, 6,6, 6, 6, 8,5,7,7,5\}[/tex]
So, we have:
[tex]n(x \ge 5) = 12[/tex]
So, we have:
[tex]P(x \ge 5) = \frac{n(x \ge 5)}{n(S)}[/tex]
This gives
[tex]P(x \ge 5) = \frac{12}{20}[/tex]
[tex]P(x \ge 5) = 0.60[/tex]
Set A and the universal set U are defined as follows.
U={1,2,3,4,5,6)
A= {2,4,6}
Find the following sets.
Write your answer in roster form or as Ø.
Answers
Part (a)
Answer: ØThis is the empty set
------------------
Explanation:
It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.
This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.
We can write Ø as { } which is a set of curly braces with nothing inside it.
=========================================================
Part (b)
Answer: {1,2,3,4,5,6}-----------------
Explanation:
When you union the universal set with any other set, you'll get the universal set.
The rule is [tex]A \cup B = B[/tex] where I've made B the universal set to avoid confusion of the letter U and the union symbol [tex]\cup[/tex] which looks nearly identical.
Why does this rule work? Well if an item is in set [tex]\overline{A}[/tex], then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.
It's like saying
A = set of stuff inside a persons house[tex]\overline{A}[/tex] = set of stuff outside a persons house (ie stuff that is not in set A)U = set of every itemwe can see that [tex]\overline{A} \cup U[/tex] will basically form the set of every item, aka the universal set.
if tanA=2ab/a square-b square.find the value of cosA and sin A
Answers
Answer:
[tex]\displaystyle \displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}\text{ and } \sin A = \frac{2ab}{a^2 + b^2}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan A = \frac{2ab}{a^2 - b^2}[/tex]
And we want to find the value of cos(A) and sin(A).
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the opposite side measures 2ab, and the adjacent side measures a² - b².
Using the Pythagorean Theorem, solve for the hypotenuse:
[tex]\displaystyle \begin{aligned} c^2 &= a^2 + b^2 \\ \\ c&= \sqrt{(2ab)^2 + (a^2-b^2)} \\ \\ &= \sqrt{(4a^2b^2)+(a^4-2a^2b^2+b^4)} \\ \\ &= \sqrt{a^4 + 2a^2b^2 + b^4 } \\ \\ &= \sqrt{(a^2 +b^2)^2} \\ \\ &= a^2 + b^2\end{aligned}[/tex]
Thus, our hypotenuse is given by a² + b².
Cosine is the ratio between the adjacent side and the hypotenuse. Thus:
[tex]\displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}[/tex]
And sine is the ratio between the opposite side and the hypotenuse. Thus:
[tex]\displaystyle \sin A = \frac{2ab}{a^2 + b^2}[/tex]
In conclusion:
[tex]\displaystyle \displaystyle \cos A = \frac{a^2-b^2}{a^2 + b^2}\text{ and } \sin A = \frac{2ab}{a^2 + b^2}[/tex]
Answer:
Step-by-step explanation:
[tex]sec^2A-tan^2A=1\\sec^2A=1+tan^2A=1+\frac{4a^2b^2}{(a^2-b^2)^2} =\frac{(a^2-b^2)^2+4a^2b^2}{(a^2-b^2)^2} =\frac{(a^2+b^2)^2}{(a^2-b^2)^2} \\cos^2A=\frac{(a^2-b^2)^2}{(a^2+b^2)^2} \\cos A=\frac{a^2-b^2}{a^2+b^2} \\sin A=\sqrt{1-cos^2A} =\sqrt{1-(\frac{a^2-b^2}{a^2+b^2} )^2} =\sqrt{\frac{(a^2+b^2)^2-(a^2-b^2)^2}{(a^2+b^2)^2} } =\sqrt{\frac{4a^2b^2}{(a^2+b^2)^2} }=\frac{2ab}{a^2+b^2}[/tex]
Helppp!! Summer math Packet!
(+4) +(-7) =
Answers
Explanation: imagine you owe someone 7 dollars but you don’t have that yet. Later you pay them 4 dollars. Now you need to pay them 3 more dollars.
Step-by-step explanation:
(+4)+(-7)
=4-7
=-3
Hope it will help you..
the quotient of a number and -9 is increased by 10 the result is 11 what is the number?
Answers
Answer:
so the division of a number and -9 or
x/-9+10=11 or
(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9
16. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.
Answers
Answer: See explanation
Step-by-step explanation:
Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 12 + 0.5t
Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:
C = 2.5t
helpp me solve it and pls explain
tyyy
Answers
Answer:
2=124 124/2
4=248 248/4
5=310 310/5
8=496 496/8
Step-by-step explanation:
40 + 22 = 62
62 x 2 = 124
62 x 4 = 248
62 x 5 = 310
62 x 8 = 496
i think
If f(x)= sqrt x, which equation describes the graphed function.
Answers
Answer:
C. y = -f(x) - 3
Step-by-step explanation:
The given (parent) function is f(x) = √x
The given graph shows a real curve that starts from y = -3, when x = 0 and the y-value increases in magnitude in the negative direction as the x-values increases positively from left to right, by the same amount that the parent function increases from left to right
Therefore;
The graph is real, therefore, the value of x in √x is x ≥ 0, and y ≠ f(-x) + D
Where, D, is the vertical shift
The graph starts at x = 0, y = -3, compared to the parent function, the vertical shift, D = -3
The y-value of the given curve increases in the opposite direction (negatively) as the y-value of the parent function increases in magnitude in the positive direction
Therefore, the equation of the given curve comprises of the reflection of the parent function or -f(x)
The graph shows the reflection of the parent function, across the x-axis, and we have, reflection of the parent function, f(x) which is -f(x)
Therefore, the equation that describes the graphed function is y = -f(x) - 3
what is the volume of the circular cone below?
Answers
Answer:
200.96
Step-by-step explanation:
Volume of cone=(1/3)*pi*r^2*h
Volume=(1/3)*pi*16*12=64*3.14=200.96
Make sure to round it to tge nearest 10th
Answers
Answer:
13.9
Step-by-step explanation:
For the 41° angle, x is the opposite leg, and 16 is the adjacent leg. The trig ratio that relates the opposite leg and the adjacent leg is the tangent.
tan A = opp/adj
tan 41° = x/16
x = 16 * tan 41°
x = 13.9085...
Answer: 13.9
what is simplfiled for x^8 y^2 / x^3 y^9
Answers
Answer:
x^5/y^7
Step-by-step explanation:
x^8 y^2 / x^3 y^9
We know that a^b/ a^c = a^(b-c)
Simplify the x terms
x^8 / x^3 = x^(8-3) = x^5
Simplify the y terms
y^2 / y^9 = y^(2-9) = y^-7
We know a^-b = 1/a^b
y^-7 = 1/y^7
Put the terms back together
x^5/y^7
You want to decrease a biscuit recipe by half. The recipe calls for 14 cups of milk. How much milk would you use.
Answers
Answer: You would use 7 cups of milk.
Step-by-step explanation:
Half of 14 is 7.
The roof rafter of a house has been raised to a height of 13 yards at the ridge. Half of the length of the run measures 9 yards. Find
the length of the rafter. Round to the nearest 100th.
Answers
Answer:
15.81 = ?
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + 13^2 = ?^2
81 +169 = ?^2
250 = ?^2
Taking the square root of each side
sqrt(250) =?
15.8113883= ?
To the nearest 100th
15.81 = ?
Answer:
Using Pythagorean theorem:- [tex]a^{2} +b^{2} =c^{2}[/tex]
a= 13
b= 9
c= ? ( length)
[tex]13^{2} +9^{2} =?^{2}[/tex]
[tex]13^{2} =169[/tex]
[tex]9^{2} =81[/tex]
[tex]169+81=?^{2}[/tex]
[tex]250=?^{2}[/tex]
[tex]\sqrt{250}=15.811[/tex]
[tex]?=15.81[/tex]
OAmalOHopeO
UDISJKDFJSFJDGLFS HELP
Answers
Answer:
I think E
Step-by-step explanation:
You know the shortest building is 25 m.
to find the rest, use trigo so Tan(20)=opposite/adjacent.
Adjacent is 50. Do the math and add the answer with 25.
Answer:
The answer would be E. 43.2
According to TOA, The opposite side is tan(20) x adjacent side( 50m)
the answer is 18.2( to 1 dp). Add the height of the second building together with 18.2 and you will get ur answer. HOpe this helps:)
there are 3468 apples in a basket how many children can share them equally
Answers
Answer:
3468 children.
Step-by-step explanation:
One apple per person.
a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours
Answers
1 hour = 60 minutes
3.5 hours x 60 = 210 minutes
210 minutes / 7.5 minutes per mile = 28 miles
Answer: 28 miles
answer i guess i will give brainly for corret answers.
Answers
Answer:
B. Never
Step-by-step explanation:
When a number is irrational, it means that it cannot be written as a fraction.
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
c) when it is improper fraction
Pls helppppppppppp I don’t understand
Answers
Answer:
First, just to recap, the angle that has a measure of 60 and the angle that has a measure of 2x+14 are vertical angles.
This means, that they are equal to each other.
Knowing this, the rest is pretty easy. We just set up an equation:
60 = 2x+14
And solve for x: (I'm going to speed through, but let me know if you need me to go step by step...)
2x = 46
x = 23
Let me know if this helps!
find the measure of the indicated angle to the nearest degree
Answers
Answer:
Step-by-step explanation:
help me please its confusing
Answers
Answer:
9c^7d^13
Step-by-step explanation:
20
2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Area of the crowd?
A. Area = 3 feet x 3 feet
B. Area = 8 yards v 1 mile = (8 x 3 feet) x (1 x 5280 feet)
C. Area = 24 feet x 1 feet.
D. Area = 8 feet x 5280 feet
.
Answers
Answer:
B
Step-by-step explanation:
8 yards = 3 * 8 = 24 ft^2
1 mile = 5280
3*3 = 9 square feet
9 square feet holds 9 people.
1 square foot holds 1 person
8*3 * 5280 people could stand in an area of 8 yards * 1 mile
Though it's not quite correct, the answer is B
Find the value of the following (-42) + 15 + (-63) can someone say this and fast
Answers
[tex]\\ \sf\longmapsto (-42)+15+(-63)[/tex]
[tex]\\ \sf\longmapsto -42+15+(-63)[/tex]
[tex]\\ \sf\longmapsto -27+(-63)[/tex]
[tex]\\ \sf\longmapsto -27-63[/tex]
[tex]\\ \sf\longmapsto -90[/tex]
Answer:
42 + 15 + (-63) = -90
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
square of 2x+3y.Please help me
Answers
Answer:
(2x+3y)^2
= (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Answer:
4x^2 12xy +9y^2
Step-by-step explanation:
(2x+3y)^2
(2x+3y)(2x+3y)
FOIL
4x^2 + 6xy+6xy + 9y^2
4x^2 12xy +9y^2
A basketball is shot into the air. Its height is represented by the polynomial equation h(t) = –16t2 + 35t + 5, where h is the height of the basketball at t seconds. What's the height of the basketball at 1.5 seconds?
Question 4 options:
20.2 feet
18.8 feet
21.5 feet
16.7 feet
Answers
Answer:
height = 21.5 ft
Step-by-step explanation:
Substitute t = 1.5 into h(t) and evaluate
h(1.5) = - 16(1.5)² + 35(1.5) + 5
= - 16(2.25) + 52.5 + 5
= - 36 + 57.5
= 21.5 ft
Answer:
21.5 feet.
Step-by-step explanation:
Let t = 1.5
[tex]h(1.5)=-16(1.5)^2+35(1.5)+5\\h(1.5)=-36+52.5+5\\h(1.5)=21.5[/tex]
Therefore, at 1.5 seconds, the basketball is 21.5 feet in the air.
Please help me with this, I am stu pid. UnU
Answers
Suppose f(x) = x^2. what is the graph of g(x)
Answers
Answer: g(x) = (1/16)*x^2
========================================================
Explanation:
Plug x = 4 into f(x) to find that f(4) = 16.
The output y = 16 drops to y = 1. We've multiplied by 1/16 to get this to happen.
In other words,
g(x) = (1/16)*f(x)
g(4) = (1/16)*f(4)
g(4) = (1/16)*16
g(4) = 1
So we can say that,
g(x) = (1/16)*f(x)
g(x) = (1/16)*x^2
and furthermore, we can say f(x) has been vertically compressed by a factor of 16.
