Answer:
Step-by-step explanation:
System of a equation has no solution when both the lines are parallel.
In other words, if the equations of a system have equal slopes there will be no solution.
1). x + 4y = 23
4y = -x + 23
[tex]y=-\frac{1}{4}x+23[/tex] ------(1)
-3x = 12y + 1
12y = 3x - 1
[tex]y=\frac{1}{4}x-\frac{1}{12}[/tex] -------(2)
Since, both the equations have different slopes, system will have at least one solution.
2). 2x + 4y = 22 -----(1)
-x = 2y - 11
-x - 2y = -11
x + 2y = 11
2x + 4y = 22 ------(2)
Since, both the equations are same, there will be infinite number of solutions.
3). 2x + y = 15 ------(1)
x = 15 - 2y
x + 2y = 15 -----(2)
Both the equations are different, therefore system of equations will have at least one solution.
4). 2x + y = 17 ------(1)
-4x = 2y - 34
-4x - 2y = -34
2x + y = 17 -----(2)
Both the equations are different, therefore, system of equations will have infinite solutions.
5). 3y = 10 - x
x + 3y = 10
2x + 6y = 20 -------(1)
2x + 6y = 7 ---------(2)
Since, both the lines are parallel (Same slopes), system will have no solution.
6). y = 13 - 2x ------(1)
4x - y = -1
-y = -4x - 1
y = 1 + 4x --------(2)
Since, both the equations are different, system of equations will have at least one solution.
Find the known measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
KM = 10.68
K = 55 degrees
M = 35 degrees
Step-by-step explanation:
Firstly, we can use Pythagoras’ theorem to calculate the length of the hypotenuse which is KM
Mathematically, this is the sum of the squares of the two other sides KL and LM according to Pythagoras’ theorem
Thus, we have it that;
KM^2 = KL^2 + LM^2
KM^2 = 6.2^2 + 8.7^2
KM^2 = 114.13
KM = √(114.13)
KM = 10.68
We have two angles to calculate
Let us start with the angle at vertex K
The opposite side to is is the length LM which is 8.7
The adjacent side to it is the length 6.2
Mathematically, the relationship between the two can be calculated using the Tan ; as the Tan of an angle is the ratio of the length of the opposite to that of the adjacent
thus;
Tan K = 8.7/6.2
K = arc Tan (8.7/6.2)
K = 54.5 which is 55 degrees
since we have a right angle , we only have to subtract he measure of angle K from 90 to get the measure of M
M = 90-55 = 35 degrees
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Answer:
The answer is correct
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
-2x = -32
x = 16
Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 48 miles uphill. After she reached the peak she rode for 15 miles along the summit. While going uphill, she went 5 mph slower than when she was on the summit. What was her rate along the summit?
Answer: [tex]25\ mph[/tex]
Step-by-step explanation:
Given
Jane took 3 hours
First she rode 48 miles with let say with [tex]x[/tex] mph
then she rode 15 miles with speed [tex](x+5)[/tex] mph
Equate the time in each ride and equate it to total time
[tex]\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph[/tex]
So, her along the summit is [tex]x+5=25\ mph[/tex]
grade 6 math any one willing to answer ONE question??? pls answer due in 30 minutes 10 points and brainliest
Answer:
2 and 5 is the gcf and lcm is 360
Step-by-step explanation:
Answer:
GCF is 120 and LCM is 1440
Step-by-step explanation:
-To find the GCF, take a look at the orange section(the intersection) and multiply all the numbers in there. 2^3x3x5=120
-To find the LCM, multiply all the numbers in the entire venn diagram. 2^5x3^2x5=1440
Brittany and Natalie, start cycling together from their home to school, which is 14.4 miles away. Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.
How much faster is Natalie (in mph)?
The result shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph faster than Natalie.
How to calculate average speed?The average speed can be calculated by dividing the distance moved by the time taken. That is;
Average speed = Distance/time
According to this question, Brittany and Natalie start cycling together from their home to school, which is 14.4 miles away.
However, Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.
First, we calculate the average speed of each individual as follows:
Natalie = 14.4miles ÷ 0.67hrs = 21.5mphBrittany = 14.4miles ÷ 0.33hrs = 43.64mphThis shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph.
Learn more about average speed at: https://brainly.com/question/12322912
#SPJ1
Thank you so much thank you thank much
Answer:
6s - 300 > 210 is the answer.
Covert °F to °C .
(*SHOW YOUR WORK*)
6) 82°F to °C = ___________
7) 104°C to F =____________
8) 68°F to C = ____________
9) 47°C to F =_____________
Answer:
6 ≈ 27.78C
7 = 219.2F
8 = 20C
9 = 116.6F
Step-by-step explanation:
6. From the formula C/5 = (F-32)/9
We get C/5 = (82-32)/9
C = (50/9)*5
C ≈ 27.78
7. From the formula C/5 = (F-32)/9
We get 104/5 = (F-32)/9
F-32 = 104/5 * 9
F-32 = 187.2
F = 219.2
8. From the formula C/5 = (F-32)/9
We get C/5 = (68-32)/9
C/5 = 36/9
C/5 = 4
C = 5 * 4
C = 20
9. From the formula C/5 = (F-32)/9
We get C/5 = (F-32)/9
47/5 = (F-32)/9
(47/5)*9 = (F-32)
84.6 = F-32
F = 84.6 + 32
F = 116.6
Formula Used
Temperture Conversion
C/5 = (F-32)/9 = R/4 = (K-273)/5
C - Celcius, F - Fahrenheit, R - Rankine, K - Kelvin
Note
Please use the correct subject next time
6) 82°F to C°
Formula
(82°F − 32) × 5/9 = 27.78°C
82°F=27.78°C
7) 10°C to °F
Formula
(104°C × 9/5) + 32 =219.2°F
104°C =219.2°F
8) 68°F to C°
Formula
(68°F − 32) × 5/9 = 20°C
68°F=20°C
9) 47°C to °F
Formula
(47°C × 9/5) + 32 = 116.6°F
47°C =116.6°F
Can u help solve this
Answer:
3 or 6/2
Step-by-step explanation:
4--2 (you add there is a subtraction of a negative) over or divided by 3-1
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you[/tex]
find the measure of the missing side in the right triangle
Answer:
[tex]12.2\text{ ft}[/tex]
Step-by-step explanation:
In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side).
In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:
[tex]7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=\sqrt{149},\\c\approx \boxed{12.2\text{ ft}}[/tex]
Can someone help with this please
9514 1404 393
Answer:
a) (1.75 +1.00d)/4 < (3.50 +1.50d)/5
b) 3.70
Step-by-step explanation:
a) You want ...
classic cost < XL cost
Using the given expressions for the costs, the inequality is ...
(1.75 +1.00d)/4 < (3.50 +1.50d)/5
__
b) For a 10-mile ride, the XL cost is ...
(3.50 +1.50(10))/5 = (3.50 +15.00)/5 = 18.50/5 = 3.70
Each passenger in a group of 5 friends pays $3.70 for the 10-mile ride.
_____
Additional comment
Each expression can be divided out to give ...
classic cost per person = $0.4375 +0.25d
XL cost per person = $0.70 +0.30d
Comparing these, we see there is no positive value of d that will make the XL cost per person be less than the classic cost per person. Both the initial fee and the per-mile cost are lower for the classic.
A car garage 17 rows of 30 cars each of the three floors. How many cars are there if the car Park Is full
Answer:
10 car are park is full djtbjekkjtitjejshd
An automobile traveled 7 hours at an average
speed of 50 miles per hour. It averaged only 40
miles per hour on the return trip. The average
speed per hour, to the NEAREST mile, for the
round trip was
(A)46 miles per hour
(B) 44 miles per hour
(C)43 miles per hour
(D) 47 miles per hour
Answer:
(B) 44 miles per hour
Step-by-step explanation:
We are given that
Speed, v1=50 miles/hr
Time, t1=7 hours
Average speed, v2=40 miles/hr
We have to find the average speed per hour for the round trip .
Distance traveled by automobile from one side
d1=[tex]v_1t=50\times 7=350[/tex]miles
d1=d2=350 miles
Total distance=d1+d2=350+350=700 miles
Now,
[tex]t2=\frac{d_2}{v_2}=\frac{350}{40}=8.75 hour[/tex]
Total time=t1+t2=7+8.75=15.75 hours
Now, average speed for the round tripe
=[tex]\frac{total\;distance}{total\;time}[/tex]
=[tex]\frac{700}{15.75}=44.4\approx 44[/tex]miles/hr
Hence, option (B) is correct.
Solve for x.
42 - 5x = 4x + 15
x = [?]
Answer:
42-15=4x+5x
27=9x
27/9=x
x=3
Step-by-step explanation:
[tex]\sqrt{45}[/tex]
Answer:
6. 72
Step-by-step explanation:
[tex] \sqrt{45} \\ = \sqrt{9 \times 5} \\ = \sqrt{9 } \times \sqrt{5} \\ = 3 \sqrt{5} [/tex]
[tex] \sqrt{5} = 2.24 \\ \implies \: 3 \sqrt{5} = 3 \times 2.24 \\ = 6.72[/tex]
Answer:
[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
45 = 9 * 5 = [tex]\sqrt{3 * 3 * 5}[/tex]
Which expression is equivalent to 3(m - 3) + 4?
3m + 1
O
3m-
5
O
3m + 13
O 3m - 3
Answer:
3m -5
Step-by-step explanation:
3(m - 3) + 4
Distribute
3m -9 +4
Combine like terms
3m -5
Answer:
3m - 5
Step-by-step explanation:
3(m - 3) + 4
3m - 9 + 4
3m - 5
need help with a p e x !!!
i think B is the right answer
Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.
Answer:
[tex]\sqrt{203}[/tex]
Step-by-step explanation:
1. [tex]11^{2} + b^{2} = 18^{2}[/tex]
2. [tex]b^{2} =203[/tex]
3. b = [tex]\sqrt{203}[/tex]
Can't be simplified.
Answer 16
Step-by-step explanation:
Ella has two 8ft long boards she needs to cut pieces that are 15 inches long how many 15 inch pieces can she cut the two boards
Answer:
12
Step-by-step explanation:
Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.
Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:
16(12)
= 192
So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:
192/15
= 12.8
We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:
= 12
Ella can cut twelve 15 inch pieces.
Independent Practice
Use the vertical motion formula h = –16t2 + vt + c.
A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula and let h = 0. Use the quadratic formula to solve for t. If no one touches the ball, how long is the ball in the air?
A.
0.1 s
B.
–0.1 s
C.
3.2 s
D.
1.1 s
Answer: The answer is letter A. 0.1s...... I think
-16t^2 + 50t + 3.5= 0
Step-by-step explanation: The answer is either letter A or letter B
Question
Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t
2
+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.
Explanation
Step 1
1 of 2
The starting velocity is 50 ft/s ,when the ball is 3.5 ft high
So, v=50v=50 , h=3.5h=3.5 , t=0t=0
\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}}\\\\ 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}}\\\\ c&=3.5 &&\text{{\color{#c34632}Simplify}}\\\\ \end{align*}
h
3.5
c
=−16t
2
+vt+c
=−16(0)
2
+50(0)+c
=3.5
The vertical motion formula
Substitute 3.5 for h , 50 for v , 0 for t
Simplify
So, the vertical motion formula will be
h= -16t^2 + 50t + 3.5
Let h= 0
-16t^2 + 50t + 3.5= 0
Answer:
Step-by-step explanation:
if you is equals to 1 2 3 4 5 6 7 8 9 10 and a is equal to 1267 b is equals to 2 3 5 6 and C is equals to 4 5 6 7 then verify that a union B complement is equal to a complement intersection b complement
This should be the answer
A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:

Answer:
She's, "HOT"!
Step-by-step explanation:
why e=mc2?why not e=mc3?
Step-by-step explanation:
E = mc^2
E is Energy
M is Mass
C is Speed of light
This is Albert Einstein's General theory of relativity.
According to The principle of homogeneity,
E = mc^2 is dimensionally correct.
what is -6^2 equal to?
Answer:
-36
Step-by-step explanation:
If they asked (-6)^2 then it would be 36
Answer:
-36
Step-by-step explanation:
Normally, 6²=36 but because it is -6, multiply 6 by itself and add the negative sign.
Solve 15 = 4(1.6)^x by graphing. Round to nearest hundredth.
Answer:
2.81
Step-by-step explanation:
[tex]4*1.6^x=15\\\\1.6^x=\dfrac{15}{4} \\\\x*ln (1.6)=ln (3.75)\\\\x=\dfrac{ln(3.75)}{ln(1.6)} \\\\x=2.81222475...\approx{2.81}[/tex]
RSM HW PLEASE HELPPPPPPPPPPPPP ASAP
Answer:
congruent SAS
Step-by-step explanation:
We know two sides of the triangles are congruent to each other
MD = MT
and MA = MU
We also know that <DMA = < TMU
Two sides and the included angle
We can use SAS to show that the triangles are congruent
Answer
DM = MT (sides)
AM =MU ( sides)
<DMA = < TMU ( Angles)
So, DMA triangle is congruent to TMU triangle
According to SAS
What is the solution to this system of equations?
2x+y = 6
- - x - y = 2
0
0
(1, -1)
(0,8)
infinitely many solutions
no solution
Answer:
Step-by-step explanation:
{ 2/3 x+y=6
+
{ -2/3x-y=2
= 0=6
Hence,no solution.
Amy flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the cube will show one.
Write the probability as a fraction in the simplest form.
Answer:
1/12
Step-by-step explanation:
Mathematically, when a coin is flipped, we either get a head or a tail
These are equal probabilities of 1/2 each
So to show heads, we have a probability of 1/2
In a standard cube, there are 6 numbers (1-6)
now, we have only 1 one
the probability of it showing up would be 1/6
So the probability of both occurring would be the product
So we have this as;
1/6 * 1/2 = 1/12
Help me pleaseeeeeeeee
What is the height of the cylinder?
Answer:
h = 7 inches
Step-by-step explanation:
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.
60°
22
Answer:
A. x = 11√3
B. y = 11
Step-by-step explanation:
A. Determination of the value of x.
Angle θ = 60°
Hypothenus = 22
Opposite = x =?
We can obtain the value of x by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 60 = x / 22
√3/2 = x / 22
Cross multiply
2 * x = 22√3
Divide both side by 2
x = (22√3) / 2
x = 11√3
B. Determination of the value of y.
Angle θ = 60°
Hypothenus = 22
Adjacent = y =?
We can obtain the value of y by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 60 = y / 22
½ = y / 22
Cross multiply
y = ½ × 22
y = 11
