Answer:
1. J=10
2. L<=7
3. h>32
4. O=15
5. q<=17
Step-by-step explanation:
J/10+4=5
subtract 4 from both sides
j/10=1
multiply 10 by both sides
j=10
-7L+5>=-49
subtract 5 from both sides
-7L>=-49
divide by -7 and change your symbol
L<=7
9+h/2>16
subtract 9 from both sides
h/2>16
multiply by 2 on both sides
h>32
O-5/2=5
multiply by 2 on each side
O-5=10
add 5 on each side
O=15
8q+2<=138
subtract 2 from both sides
8q<=136
divide by 8 on both sides
q<=17
a car travels 1.2 miles from point a to point b. the car then turns at point b and travels 1.8 miles to point c before heading back to point a. the distance from point point c to point a is 1.6 miles. if the cars path is represented by a triangle what angle turn
Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.
b² = a² + c² - 2ac(cosB)
Substituting the known values,
(1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)
The value of B from the equation is 48.6°.
Answer:
B = 60.6 degree
Step-by-step explanation:
Side AB, c = 1.2 miles
Side BC, a = 1.8 miles
Side CA, b = 1.6 miles
Use Cosine rule to find the angle B.
[tex]Cos B = \frac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting the values of a, b and c
[tex]Cos B = \frac{1.8^{2}+1.2^{2}-1.6^{2}}{2\times 1.8\times 1.2}[/tex]
[tex]Cos B = \frac{3.24+1.44-2.56}{4.32}[/tex]
[tex]Cos B = 0.491[/tex]
B = 60.6 degree
Compare the decimals below and add <, >, or = to make the statement correct:
1.805 and 1.803
0.757 and 0.393
0.99 and 0.990
1.805>1.803
0.757>0.393
0.99<0.990
A trick is looking at each decimal place is looking from left to right and seeing which number has the most value
Solve the proportion r/72= 3/9
Answer:
[tex]r=\frac{7}{3}[/tex]
Step-by-step explanation:
When given the equation
[tex]\frac{r}{72} =\frac{3}{9}[/tex]
We must multiply each side by 72 in order to isolate r.
[tex]r =\frac{3}{9}*\frac{7}{1} \\\\r=\frac{21}{9} \\\\r=\frac{7}{3}[/tex]
Ken can walk 40 dogs in 8 hours how many dogs can ken walk in 12 hours
Answer:60
Step-by-step explanation:40/8 =5 so that means he can walk 5 dogs per hour and if you times 5 by 12 you get 60 as your answer.
Answer:
Ken can walk 60 dogs in 12 hours.
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
So, [tex]x=\frac{c*b}{a}[/tex]
In this case it is direct magnitudes, so that the three direct rule can be applied as follows: if Ken can walk 40 dogs in 8 hours, how many Ken dogs can he walk in 12 hours?
[tex]number of dogs=\frac{12 hours*40 dogs}{8 hours}[/tex]
number of dogs= 60
So, Ken can walk 60 dogs in 12 hours.
How the hell is the answer 6 or -4
One of the answers I get is -6 which is not the right one. Where the heck does that -4 come from
Answer:
The values of y is -4 and 6
Step-by-step explanation:
Solve by factoring y^2 -2y=24
We need to factorize the term y^2 -2y=24.
Rearranging:
y^2 - 2y -24 =0
For factorizing we need to break the middle term such that their sum is equal to -2y and product is equal to -24y^2
We know, -6y*+4y = 24y^2 and -6y + 4y = -2y
y^2 -6y +4y -24 =0
y(y-6) +4(y-6) = 0
(y+4)(y-6)=0
Now, y+4 =0 and y-6 =0
Finding value of y,
y = -4 and y =6
So, the values of y is -4 and 6
Which system of inequalities is graphed below?
Answer:
C.Step-by-step explanation:
We have the parabolas:
(1) y = x² + 2 and (2) y = x² - 6
The common shaded region is below parabola (1) and above parabola (2).
Therefore y < x² + 2 and y > x² - 6
Answer:
its wrong it is a.
Step-by-step explanation:
Find the value of x in the isosceles triangle shown
Answer:
x = 8√5
Step-by-step explanation:
The large triangle is divided into two smaller ones. The right one has one leg of length 8, one leg of length x/2, and hypotenuse of length √80.
Appling the Pythagorean Theorem, we can find x:
8² + (x/2)² = (√80)²,
or: x^2
64 + x^2/4 = 80, or ------- = 80
4
Then x^2 = 320 = 64*5. Taking the square root of both sides, we get:
x = 8√5
-104=-2(1+7x)-4 answer
Add 4 to both sides
-104 + 4 = -2(1 + 7x)
Simplify -104 + 4 to -100
-100 = -2(1 + 7x)
Divide both sides by -2
-100/-2 = 1 + 7x
Two negatives make a positive
100/2 = 1 + 7x
Simplify 100/2 to 50
50 = 1 + 7x
Subtract 1 from both sides
50 - 1 = 7x
Simplify 50 - 1 to 49
49 = 7x
Divide both sides by 7
49/7 = x
Simplify 49/7 to 7
Switch sides
Answer: x = 7
What is the value of x , given that the two prisms are similar ?
Answer:
x = 40 units.
Step-by-step explanation:
Corresponding sides of the 2 prisms are in the same ratio , so:
x / 20 = 10 / 5
x/ 20 = 2
x = 2 * 20
x = 40 units.
ANSWER
The correct choice is A.
EXPLANATION
If the the two prisms are similar, then their corresponding sides are in the same proportion;
This implies that
[tex] \frac{x}{20} = \frac{6}{3} [/tex]
We simplify to get;
[tex] \frac{x}{20}=2[/tex]
We now multiply both sides by 20 yo obtain;
[tex] \frac{x}{20} \times 20 = 2 \times 20[/tex]
We simplify and multiply out to get:
[tex]x = 40[/tex]
Therefore the value of x is 40 units
Write the decimals from the least to the greatest on the ladders. Start at the bottom.
8.357, 8.35, 8.361, 8.36
12.310, 12.301, 12.013, 12.130
29
.
Frank Crhoffor Dichlinntinne Inn
For the first one: 8.35, 8.357, 8.36, 8.361
For the second one: 12.013, 12.130, 12.301, 12.310
From least to greatest
Abigail and her mom are back-to-school shopping at new Navy . Select items are on sale at 43% off their regular price . What is the sale price of an item that has a regular price of $22?
Answer:
$12.54
Step-by-step explanation:
First, you have to apply the sale to the original price. In this case, you would have to multiply 22 and 43% to get $9.46. Now, you have to subtract 9.46 from 22 to get 12.54.
CAN SOMEONE PLEASE HELP ME ANSWER THIS
If the probability of even is 1/4 that is a quarter. A quarter of 120 is 120/4= 30 times
Can someone help me with this
Answer:
y = 6
Step-by-step explanation:
⇒ 17 y + 2 = 5 y + 74
→ ( - 5 y from both sides )
⇒ 12 y + 2 = 74
→ ( -2 from both sides )
⇒ 12 y = 72
( ÷ by 12 on both sides )
⇒ y = 6
Answer:
y = 6
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
17*y+2-(5*y+74)=0
Pull out like factors :
12y - 72 = 12 • (y - 6)
Solve : 12 = 0
Add 6 to both sides of the equation :
y = 6
A rectangle has a length of (6x+1) units and a width of (3x+1 units. Express the area of the rectangle as trinomial. Please I really need help and my tutor didn’t help. Please explain the work u did
whenever you have say a multiplication of a binomial or any polynomial, you can simply multiply each term of one by the other's terms, namely
(a+b)*(c+d+e) => a(c+d+e) + b(c+d+e), and then add like-terms.
[tex]\bf \stackrel{length}{(6x+1)}\stackrel{width}{(3x+1)}\implies 6x(3x+1)+1(3x+1)\implies (18x^2+6x)~~+~~(3x+1) \\\\\\ 18x^2+6x+3x+1\implies \stackrel{\textit{adding like-terms}}{18x^2+9x+1}[/tex]
explain solving systems of equations using substition?
when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?
[tex] 2 {r}^{2} - 4r - 16[/tex]
Answer:
Step-by-step explanation:
Take out a common factor of 2
2(r^2 - 2r - 8) Now factor.
2(r - 4)(r + 2)
Answer: r=4,-2
2r^2-4r-16=0
2(r^2-2r-8)=0
2(r-4)(r+2)=0
r=4,-2
A 15-m2 wooded area has the following: 30 ferns, 150 grass plants, and 6 oak trees. What is the population density per m2 of each of the above species?
Can someone plz help me
Answer:
See the procedure
Step-by-step explanation:
we know that
To find the population density per m² of each of the above species, divide the amount of each species by the total area
so
Ferns
[tex]\frac{30}{15}=2\frac{ferns}{m^{2}}[/tex]
Grass plants
[tex]\frac{150}{15}=10\frac{grass\ plants}{m^{2}}[/tex]
Oaks Trees
[tex]\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}[/tex]
A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 hours away. Model Susie's situation with a system of inequalities
Let y equal to
the total fare and x is the mile of taxi ride. So the equation is
Y = 0.55x + 1.75
Since Susie has
$10 to spend for a taxi cab, so he can have
10 = 0.55x +
1.75
X = 15 miles of
taxi ride
So the system of
inequality is
10 < 0.55x +
1.75
X > 2
Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below
Answer:
[tex]\frac{35}{2}[/tex]
Step-by-step explanation:
To solve this problem we need to write the mixed fraction as a fractional number, as follows:
[tex]3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}[/tex]
[tex]5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]
Then, evaluating the expression:
[tex]\frac{10}{3}[/tex]×[tex]\frac{21}{4}[/tex] = [tex]\frac{210}{12}[/tex] = [tex]\frac{35}{2}[/tex]
To find the solution to a system of linear equations, Verdita begins by creating equations for the two sets of data points
below
Which equations could Verdita use to represent the data sets?
Data Set A: Y-4x-2
Data Set B: y = x+4
Data Set A -4x-2
Data Set B: y = x-4
Data Set A y = 4x+2
Answer:
y= 4x -2
y= x + 4
Step-by-step explanation:
To find equation for Data set A and B , pick any two points from the table
(-1,-6) and (1,2)
To find equation use y=mx+b
where m is the slope and b is the y intercept
[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{2+6}{1+1} = 4[/tex]
Use point slope formula, use (1,2)
y-y1=m(x-x1)
y - 2= 4(x-1)
y-2= 4x-4 (add 2 on both sides)
y= 4x -2
(-2,2) and (0,4)
To find equation use y=mx+b
where m is the slope and b is the y intercept
[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{0+2} = 1[/tex]
Use point slope formula, use (0,4)
y-y1=m(x-x1)
y - 4= 1(x-0)
y - 4=x (add 4 on both sides)
y= x + 4
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
Answer:
y = (-3/7)x + 9 ( -1.5x − 3.5y = -31.5)
Step-by-step explanation:
Normally, there's a list of possible answers associated to this question, and the answer is usually in the form of -1.5x − 3.5y = -31.5 (equivalent to y = (-3/7)x + 9)
You forgot to provide the reference image which is essential to answer the question, but I managed to find it... and attach it to my answer.
In the given equation for AB, if we place the y term on the left and x term on the right, we see the slope of that line is 7/3 (y = (7x - 21.5)/3 ==> 7/3x).
We see on the image that the line PQ is perpendicular to AB. That means that its slope is -3/7.
So, we have a slope of -3/7 and we know it passes through point P (7,6), let's see if we can find the missing term.
y = (-3/7) x + b
6 = (-3/7) 7 + b
6 = -3 + b
b = 9
So the equation of the line forming the street PQ is y = (-3/7)x + 9
Is the following relation a function?
Yes
No
Answer:
NO
Step-by-step explanation:
No, it's not a function
One input has more than one output.
Answer:
NoStep-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
From the graph for values of -4 < x < 4 we have two values.
Examples:
for x = 0 we have two values -4 and 4
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
Step-by-step explanation:
let the price be x before increased.
After it is increased then it becomes 1.03x
i.e. 1.03x= 720
x=699.03 which is the price after it is increased.
The question is an illustration of percentage increase, and the price before the increase is £699
How to determine the initial price?The given parameters are:
Initial = x
Rate = 3%
New price = £720
The equation of the initial price is:
x * (1 + rate) = New price
So, we have:
x * (1 + 3%) = 720
Evaluate the sum
x * 1.03 = 720
Divide both sides by 1.03
x = 699
Hence, the price before the increase is £699
Read more about percentage increase at:
https://brainly.com/question/2085058
#SPJ2
Given that point X is the incenter of ABCD, what can you conclude about line segments XY, XA, and yz?
A.they are all congruent
B.only XY and XA are congruent
C.only XA an XZ are congruent
D.None of them are congruent
Answer:
A. They are all congruent
Step-by-step explanation:
I can't seem to remember the name right now, but since X is the incenter and all of the segments are perpendicular, they are a certain kind of line segment whose name I can't remember where they are all congruent.
Answer:
A
Step-by-step explanation:
in the reaction c + o2 —> co2 which element is reduced in the reaction?
C
O2
CO2
Answer: b
Step-by-step explanation:
Answer:
B - O2
Step-by-step explanation:
Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.
If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?
Ben could have sold no more than ____ hamburgers.
Answer:6
Step-by-step explanation:
What is the solution to the set of equations in the form (a,b)
a-3b=16
a=b-2
Answer:
(-11, - 9)
Step-by-step explanation:
Given the 2 equations
a - 3b = 16 → (1)
a = b - 2 → (2)
Substitute a = b - 2 into (1)
b - 2 - 3b = 16
- 2b - 2 = 16 ( add 2 to both sides )
- 2b = 18 ( divide both sides by - 2 )
b = - 9
Substitute b = - 9 into (2) for the corresponding value of a
a = - 9 - 2 = - 11
Solution is (- 11, - 9)
find the solution of this system of equations 3x+7y=46 and -3x-8x=-50
Answer:
x = 6 and y =4
Step-by-step explanation:
It is given that,system of equations 3x+7y=46 and -3x-8x=-50
To find the solution
Let 3x + 7y = 46 --------(1)
-3x-8x=-50 -------(2)
eq(1) + eq(2)
3x + 7y = 46
-3x - 8x = -50
-y = -4
y = 4
(1) ⇒ 3x + 7y = 46
3x + 7*4 = 46
3x= 46 - 28
3x = 18
x = 18/3 =6
Therefore x = 6 and y = 4
Write the formula to calculate the height, h
Answer:
kg m2 / s2 is the formula
good luck!
Answer:
kg m2 / s2 is the formula
Step-by-step explanation:
how do you change y=x^2-10x-6 into vertex form
Converting to vertex form is actually pretty simple so I think you might find something to help you out here. :)
https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html