Solution:
Given that, 6 identical toys weigh 1.8 kg
we know that, 1kilogram = 1000 grams
6 identical toys weigh in grams
6 identical toys weigh 1800 grams
then calculating the weight of 1 toy by unitary method ,
weight of 1 toy =
grams.
Hence, 1 toy would weigh 300 grams.
***Not sure which one you want to be solved but some of the ones with answers are wrong, so I will be explaining those as well with answers; the questions will be labeled 1-4 from top to bottom as shown in your picture***
#1.
Answer:
y=3x+4
Explanation:
The slope is 3 because every 1 unit to the right, the next point is increased by 3. In other words, the line rises 3 every 1 across. Slope is calculated by rise divided by run, in this graph the rise is 3 and the run is 1.
Slope= rise/run=3/1=3
The slope is not negative because it rises upwards from left to right; not downwards as a negative slope would.
Slope-intercept form is y=mx+b with m being slope, b being the y-intercept, and (x,y) being the set of points. The y-intercept is found as the point that intersects on the y axis, here being 4. So, the answer is y=3x+4.
#2.
Answer:
y=(1/2)x+3
Explanation:
Again, y-intercept form is y=mx+b. Here we are given the slope and the x-intercept(the y is 0). Because the slope is given, we can plug that in the slope-intercept equation right away:
y=(1/2)x+b
Now, we just need to find b. So, how can we solve for b? We need to make b the only variable in this equation. This can be done by plugging in the given point, (-6, 0). Here is how b is solved:
y=(1/2)x+b
0=(1/2)(-6)+b
0=-3+b
3=b
So, the equation is y=(1/2)x+3.
#3.
Answer:
y=3x+7
Explanation:
Two points are given. Slope can be found given two points and we can use the slope to create an equation in point-slope form, before solving for the slope-intercept form. Slope can be found using the equation:
m=(y2-y1)/(x2-x1)
This equation basically finds the rise and run of the slope before dividing to find the slope. Plugging in the points given for this problem and find slope is shown below: ((-2, 1) and (1, 10) are the points btw)
m=(10-1)/(1+2)
m=9/3
m=3
Now that we know the slope, we can pick one number to create point-slope form and then move the variables around to create slope-intercept form.
Point-slope form: (y-y1)=m(x-x1)
With variables: (y-1)=3(x+2)
Now, we can use this equation to create slope-intercept form:
(y-1)=3(x+2)
y-1=3x+6
y=3x+7 <—Final Answer!
#4.
Answer:
(y+2)=1/6(x-9)
Explanation:
Given the point and a slope, we can create the point-slope equation. (9,-2) and m=1/6 is given. Refer back to point slope form (y-y1)=m(x-x1). m is the slope and (x1, y1) is the point plugged in.
So, when you plug in the slope and the points you get (y+2)=1/6(x-9).
Answer:
5
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse
QR^2 + 12^2 = 13^2
QR^2 +144 =169
QR^2 = 169-144
QR^2 =25
Take the square root of each side
QR = sqrt(25)
QR =5

Let's rearrange the terms to convert the equation into slope - intercept form ~
I hope it helps ~
Answer:
The probability that one will end up calling a tow truck because all 10 drivers do not have jumper cables = 0.1749
Step-by-step explanation:
Probability of one driver having jumper cables = 16% = 0.16
Probability that one driver doesn't have jumper cables = 1 - 0.16 = 0.84
The required probability is the probability you end up calling a tow truck.
This probability is equal to the probability that all the 10 drivers asked about jumper cables on the road don't have jumper cables.
Probability that 10 drivers don't all have jumper cables = (0.84)¹⁰ = 0.1749
Hence, the probability that one will end up calling a tow truck because all 10 drivers do not have jumper cables = 0.1749
Hope this Helps!!!