Answer:
17.60
Step-by-step explanation:
Please see the attachment for the step by step answer
A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?
HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.
What is the value of b?
Answer:
[tex]b=2[/tex]
Step-by-step explanation:
We know that the line passes through the point (16, -10).
And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]
Notice that the slope of this line is -3/4
Remember that parallel lines have the same slope.
Therefore, the slope of our new line is also -3/4
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:
[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]
Distribute:
[tex]y-(-10)=-\frac{3}{4}x+12[/tex]
Simplify:
[tex]y+10=-\frac{3}{4}x+12[/tex]
Subtract 10 from both sides:
[tex]y=-\frac{3}{4}x+2[/tex]
This is in the form y=mx+b.
Therefore, our b is 2.
And our final answer is 2.
Identify the following data set:
The rates at which all of the cashiers scan products for a store on a study about the
cashiers for the day
Answer: Population
Step-by-step explanation:
Answer:
Population
Step-by-step explanation:
I just took the quiz
You start at (3,-3). You move down 2 units and up 6 units. Where do you end? On a coordinate plane
Answer:
(3 , 1)
Step-by-step explanation:
(3 , - 3)
(3 , - 3 - 2 + 6) = (3 , 1)
Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest?
Answer:
The rate of interest is 9%.
Step-by-step explanation:
Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 360,p = 4000,t = 1[/tex]
[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]
[tex]36000 = 4000r[/tex]
[tex] \frac{36000}{4000} = r[/tex]
[tex]r = 9[/tex]
Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.
Answer: D. A polygon is concave if no diagonal contains points outside the polygon.
Explanation:
Choice A is true since "equiangular" means "equal angles"
Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon
Choice C is true. The term "lateral" means "side".
Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.
Need this ASAP
What is the constant of proportionality in the equationy=2x
Answer:
2
Step-by-step explanation:
[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]
Hence, constant of proportionality = 2
Identify the angles that each have a measure of 88°.
Answer:
vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv
Step-by-step explanation:
simplify 3(12 - 8) + 5
Answer:
17
Step-by-step explanation:
The value of the given linear expression 3(12 - 8) + 5 is 17.
What is a linear equation?
A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
3(12 - 8) + 5
= 3 × 4 + 5
= 12 + 5
= 17
Learn more about linear expression here: https://brainly.com/question/1955739
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a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days
A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the length of this series?
Answer:
10 km
Step-by-step explanation:
volume of cube = s^3
1 m = 100 cm
volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3
Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.
1,000,000 cm = 10,000 m = 10 km
If b^2=a then b is what of a?
Answer:
[tex]\huge\boxed{b = \sqrt{a}}[/tex]
Step-by-step explanation:
If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.
[tex]b^2 = a[/tex]
To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.
[tex]\sqrt{b^2} = \sqrt{a}[/tex]
[tex]b = \sqrt{a}[/tex]
So b is the square root of a.
Hope this helped!
Find the value of x. Round to the nearest degree.
13.
22
14
Not drawn to scale
a. 47
b. 32
c. 40
d. 50
Answer:
32
Step-by-step explanation:
Can someone help me answer
Answer: she should by 9 bottles of juice
Step-by-step explanation:
because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9
The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the triangle
Answer:
Shorter leg=3
Longer leg=4
Step-by-step explanation:
Equations
In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:
[tex]a^2=b^2+c^2[/tex]
Let's call
x=the shorter leg of the triangle
The longer leg is 1 cm longer than the shorter leg, thus:
x+1=the longer leg.
Since the hypotenuse is 5 cm long:
[tex]5^2=x^2+(x+1)^2[/tex]
Operating:
[tex]25=x^2+x^2+2x+1[/tex]
Swapping sides and simplifying:
[tex]2x^2+2x+1=25[/tex]
Subtracting 25:
[tex]2x^2+2x-24=0[/tex]
Dividing by 2:
[tex]x^2+x-12=0[/tex]
Factoring:
[tex](x-3)(x-4)=0[/tex]
We have two possible solutions:
x=3, x=4
The longer leg is x+1.
If x=3, x+1=4
If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.
Thus, the solution is:
Shorter leg=3
Longer leg=4
Equation
Answer
7w = 21
m7= 5
6b = -42
x5=10
8b = 96
y2= -20
-6c = -36
4p = 48
m-11= -3
k-2= 4
12g = -60
-3w = -39
m-9=20
w4= -60
17b = 51
Can someone please HELP
Find the sum of all integers between −102 and 104.
The integers from -102 to 102 would all cancel, leaving you with
(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104
= 103 + 104
= 207
Victoria spent one half of her birthday money on clothes. She received another $25 a week later. How much money did she get for her birthday if she ended up with $70?
Answer:
$90
Step-by-step explanation:
If she ended up with 70 dollars then subtract 25 from 70 and you will get 45. then you double 45 which gives you 90 dollars
HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.
A recipe calls for using ¾ cup of brown sugar for each ⅔ cup of white sugar. How many cups of brown sugar are used per cup of white sugar?
Show the rate and unit rate.
Answer:
1 1/8 cups of brown sugar is needed. The unit rate is 1 1/8 cups of brown sugar per cup of white sugar.
Step-by-step explanation
2/3 * 3/2 = 1 This is for white sugar
3/4 * 3/2 = 9/8 or 1 1/8 This is for brown sugar
Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}
Find the probability of the intersection of A and B.
Answer:
The required probability for the intersection of A & B = 0.25
Step-by-step explanation:
Given that:
Sample space S = {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Also;
A = {E1, E4, E6}
B = {E2, E4, E7}
C = {E2, E3, E5, E7}
Then
P(A) = 0.05 + 0.25 + 0.10 = 0.4
P(B) = 0.20 + 0.25 + 0.05 = 0.5
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6
The intersection of A and B are:
P(A ∩ B) = E4
P(A ∩ B) = 0.25
The required probability for the intersection of A & B = 0.25
A car is going 50 miles per hour.
A rate that describes this would have units of?
А. miles and hours.
B. miles and cars.
C. hours only.
D. miles only.
miles and hours is the correct option.
NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU
The midpoint of AB is at (3, 2) . If A = (4, 8) , find b
B is:( , )
Answer:
B (2,-4)
Step-by-step explanation:
Determine the unknown side of the similar triangle.
A)
2
B)
3
4
D)
5
Answer:
(C). 4
Step-by-step explanation:
Sides of the similar triangles are proportional.
if X ~ Y , then [tex]\frac{12}{6}[/tex] = [tex]\frac{8}{x}[/tex] ⇒ x = 4
Simplify
27^n+3 -6×3^3n+3/3^n×9^n+2
Answer:27^n+3–6*3^3n+3–n*9^n+2
Step-by-step explanation:
If Michael can read 400 pages in 8 hours, how many pages can he read in 1 hour?
Step-by-step explanation:
He will read 50 pages in an hour
Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $
What is -7 as a fraction
Answer:-7/1
Step-by-step explanation:
Answer:
-7/1
Step-by-step explanation:
help me please i dont know what this is i cant think
Answer:
ahhhhh swear that's scary honestly
Rewrite each equation 5x – 4y = 6
Step-by-step explanation:
5x-4y=6.....eqn.1
or,5x=6+4y
or,x=6+4y/5....eqn.2
from eqn.1..5(6+4y/5)-4y=6
or,6+4y=6
:y=0 ans..
frm eqn.2
:x=6+0\5
:x=6/5 ans..