Answer:
A. 2
Step-by-step explanation:
When adding two numbers, you are combining their values.
In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.
State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?
Answer:
Step-by-step explanation:
C
The lines are have one solution and are consistent and Independent.
What is Consistent and Inconsistent?Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.
Given:
y = 0.5x
2y = x + 4
Now solving the Above Equation
2(0.5x) = x+ 4
x = x+ 4
0 = 4
and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]
Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]
Then, the lines are have one solution and are consistent and Independent.
Learn more about Consistent and Inconsistent here:
https://brainly.in/question/31728105
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Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?
HELP ME!!!!! Solve for X
Answer:
1. x=6, 2. x=14 3. x= -2, and 4. x=6.5
Step-by-step explanation:
1. 120=20x, x=6.
2. 47=2x+19, x=14
3. 4x+3=2x-1, x= -2
4. 3x+4+7x+11=180, x=6.5
write 24.23 as a mixed number in simplest form
Answer:
24 23/100
Step-by-step explanation:
A negative number divided by a negative number will result in a _ Quotient
Answer:
Positive
Step-by-step explanation:
Two negatives make a positive.
-3/7(x-52) given x=10
Answer:
18
Step-by-step explanation:
-3/7 * ( x-52)
Let x = 10
-3/7 ( 10-52)
-3/7 * -42
-3 * -42/7
-3 * -6
18
the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?
Answer:
9.
Step-by-step explanation:
I am assuming that the two numbers are positive.
Let the numbers be 3x and 7x.
Then 3x * 7x = 19
21x^2 = 189
x^2 = 9
x = 3.
So the smaller of these numbers is 3*3 = 9.
Answer:
9 if that does not work try - 21
Step-by-step explanation:
Let the two numbers be x and y
x/y = 3/7 which means that x is the smaller number.
x*y = 189
Cross multiply the top equation
7x = 3y
Divide by 7
x = 3/7 ^ y
x*y = 189
(3/7 y) * y = 189
Multiply by 7
3y^2 = 189*7
3y^2 = 1323
Divide by 3
y^2 = 441
Take the square root of both sides
y = 21
The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.
x = 3/7 * 21
x = 3*3
x = 9
Check
x*y = 9 * 21 = 189
F(x)=x2-2x find f(x2)
answer
0
Step-by-step explanation:
you plug in the 2 into every xbox value
Answer:
f(x)= x²-2x
For finding f(x²), replace x with x²
f(x²)= (x²)²-2x²
= x⁴-2x²
Hope it helps :-)
Find the inverse.
f(x) = 3x+28
Set [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]
Interchange the variables [tex]x[/tex] and [tex]y[/tex]
[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth? The first step in rounding to the nearest tenth is to look at the digit to the right of the tenths place. What is the next step?
Answer:
A
Step-by-step explanation:
Answer:
5.94 rounded up to the neares tenth is 10
Step-by-step explanation:
logic also I don't think there is a next step
Which linear equation has no solution?
Markel said he has 4 times
as many yellow cars as
blue cars. What is the ratio
for blue cars to yellow
cars?
Answer:
4:1
Step-by-step explanation:
What is the area of a section of pavement that is 20 ft wide and 50 yd long?
Answer:
3000 feet or 1000 yards because there are 3 feet in a yard, and make sure there is a squared sign at the end of ft or yards( ft^2) (yd^2)
Step-by-step explanation:
3. Machine A packs 4, cartons in 5 hour.
Machine B packs 4 cartons in a hour.
Which machine packs faster? How
many cartons per hour can the faster
machine pack?
Machine:
Answer:
Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.
Step-by-step explanation:
Find 5.5x when x=7.5
Answer:
41.25
Step-by-step explanation:
if x=7.5 in order to find 5.5x you would multiply 5.5 by 7.5
=41.25
Answer:
41.25
Step-by-step explanation:
5.5(7.5) Stubstitue the varuable for the value
41.25 Multiply
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
It is 28 feet far above form the ground.
1225=441+B^2
1225-441=B^2
784=B^2
√784=√B^2
28=B
B=28 feet
1) Between which two integers does the square root of 48 lie? *
Answer:
6 and 7
Step-by-step explanation:
I think you mean 'the sq rt of 48 lies between what 2 integers.'
The answer is 6 and 7.
A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes.
Answer:
The first siding should be located at 30 miles
The time for the freight to arrive at the siding is 40 minutes
Step-by-step explanation:
From the given information:
Let [tex]T_f[/tex] represent the time for the freight train
Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location
Let Y represents the location where the location of the siding of the track needed to take place.
Thus, for freight time:
[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]
The siding location is:
[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]
[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]
To determine Y:
[tex]T_P -T_f = 0.1 --- (3)[/tex]
replacing the value of [tex]T_f[/tex] and [tex]T_P[/tex] in the above equation (3), we have:
[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]
collecting like terms, we have:
[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]
[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]
[tex]\dfrac{-25Y}{3150} =-0.233[/tex]
- 25Y = -0.233 × 3150
- 25Y = -733.95
Y = -733.95/-25
Y = 29.36 miles
Y [tex]\simeq[/tex] 30 miles to the nearest whole number
Thus, the first siding should be located at 30 miles
To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).
Then, we have:
[tex]T_f = \dfrac{Y}{45}[/tex]
[tex]T_f = \dfrac{30}{45}[/tex]
[tex]T_f =0.667\ hr[/tex]
[tex]T_f =(0.667 \times 60 )minutes[/tex]
[tex]T_f =40.2 \ minutes[/tex]
[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]
Thus, the time for the freight to arrive at the siding is 40 minutes
round to 2 decimal 0.314
Answer:0.300
Step-by-step explanation:Just took something familiar
Answer:
0.31
Step-by-step explanation:
Please help with this
Answer:
x = 14.75
Step-by-step explanation:
I just used the equation 6x + 10 and replaced the x with every single answer choice. Angle B kinda looks like it's close to a 90⁰ angle but a little more so I chose the answer that fit well with my statement.
which unit represents 0.01 liters
Answer:1 centiliter
Step-by-step explanation:1 centiliter equals 0.01 liters
100 POINTS!!! ASAP-- Pls show work too TY
Answer:
I will help you but is there any picture that can help me answer the question?
Answer:
[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]
Step-by-step explanation:
So we know that Θ is acute and that:
[tex]\cos(\theta)=6/7[/tex]
First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.
The Pythagorean Identity is:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
We know that cosine is 6/7. Substitute:
[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]
Square:
[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]
Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:
[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]
Subtract:
[tex]\sin^2(\theta)=\frac{13}{49}[/tex]
Take the square root of both sides:
[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]
Simplify:
[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]
As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:
[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]
and we're done!
1 point
If one person can stand on a 4 square feet floor area, how many persons
can stand on 64 square foot floor area? Which proportion accurately solves
this problem? *
A) 1/4= X/64
B) 1/4= 64/x
C)1/64= 4/x
D)4/64= x/1
Answer:
A) 1/4=X/64
Step-by-step explanation:
It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.
Hope that helps!
Given a the line y=2.5x+4, find line whose graph:
is parallel to the graph of the given line.
Answer:
y=2.5x+10
Step-by-step explanation:
The given line is y=2.5x+4.
Here, the slope of the line, [tex]m_0=2.5[/tex] and
the y-intercept of the line, [tex]C_0=4[/tex].
The graph of the line has been shown in the figure.
The parallel lines never intersect each-other and always have a fixed distance between then.
Mathematically, a line having the slope, m, and the y-intercept, C, i.e
y=mx+C is parallel to the given line if it has equal slopes, [tex]m=m_0[/tex], and different intercepts, [tex]C\neq C_0[/tex].
So, the equation of the parallel line is
y=2.5x+C, where [tex]C\neq 4[/tex].
For example, take C=10 than the equation of a parallel line is
y=2.5x+10 has been shown in the graph.
Like this, there are infinitely many possible parallel lines to the given line.
Click on the multiplication sentence that helps you solve this problem.
3/7 divided by 4/5
Answer:15/28
Step-by-step explanation:
3/7 divided 4/5
3/7x5/4=15/28
Answer: 3/7 x 5/4
Step-by-step explanation: 3/7 ➗ 4/5 = 15/28
3/7 x 5/4 = 15/28
midpoint of (5, 8) (-1, -4)
Answer:
(2,2)
Step-by-step explanation:
mid point formula: x1+x2/2 y1+y2/2
5+(-1)=4/2=2
8+(-4)=4/2=2
(2,2)
I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS
Answer:
Step-by-step explanation:
K(0 , 4)
Midpoint M (3 , 3)
Let Point L(x₂ , y₂)
[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]
Compare x and y coordinates
[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]
Cross multiply,
x₂ = 3*2 ; 4 + y₂ = 3*2
x₂ = 6 ; 4+ y₂ = 6
y₂ = 6- 4
y₂ = 2
L(6 , 2)
Answer:
6,2
Step-by-step explanation:
I don't think you want to know how I did it, it's pretty boring for most people except me
Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.
Complete Question
Which of the following statements are true and which are false? Give reasons for your answers.
(i) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A line can be produced indefinitely on both sides.
(iv) If two circles are equal, then their radii are equal.
(v) if AB=PQ and PQ=XY, then AB=XY.
A (i),(ii) - True
(iii),(iv),(v)-False
B(i),(ii),(iii) -True
(iv),(v)-False
C (i),(ii) -False
(iii),(iv),(v)-True
D (i),(ii),(iii) -False
(iv),(v)-True
Answer:
The correct option is C
Step-by-step explanation:
i is false because several lines can pass through a single point
ii is false because only one line can pass through two distinct points
iii is true because you can extend a line from both points (start and end points )
iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal
v is true because from Euclid's First Axiom , if a= c and c = d the a = d
Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?
Answer:
17
Step-by-step explanation:
Answer:
22-5=17 the answer is 17
What conclusions can you draw from the distances that you recorded in question 7
Answer:
If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line is a perpendicular bisector of the connecting line segments.
Step-by-step explanation: