Answer:
[tex]\boxed{\sf{b=4.5}}[/tex]Step-by-step explanation:
To find the value of variable, you have to isolate the term of b from one side of the equation.
b+1.5=6First, you subtract by 1.5 from both sides.
→ b+1.5-1.5=6-1.5
Solve.
Subtract the numbers from left to right.
⇒ 6-1.5=4.5
⇒ b=4.5
Therefore, the correct answer is b=4.5.I hope this helps you! Let me know if my answer is wrong or not.
Thanks!! I'm just really confused abt this one question on IXL. I just need to answer this question and then I'm done.
Answer:
11/15
Step-by-step explanation:
What are the solutions of x^2 + 6 x - 6 = 10?
Answer:
X= 2
X= -8
Hope this helps :)
Answer:
x=2 and x=-8
Step-by-step explanation:
First, move terms to the left side. Then subtract the numbers and use the quadratic formula. Simplify, separate the equations, and solve.
I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5
Answer:
a) -2
b) y = -2x + 6
Step-by-step explanation:
Question (a)
Point A = (-1, -2)
Point B = (7, 2)
[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]
If lines are perpendicular to each other, the product of their gradients will be -1.
Let g be the gradient of the perpendicular line:
[tex]\implies \sf \dfrac12 \times g=-1[/tex]
[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]
Therefore, the gradient of the line perpendicular to AB is -2
---------------------------------------------------------------------------------------------
Question (b)
[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]
[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]
[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]
We now know the gradient and a point on the perpendicular line.
So we can use the point-slope form of a linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-2(x-3)[/tex]
[tex]\implies \sf y=-2x+6[/tex]
Think carefully about the angle relationship the following represents.
What is the value of x?
1) 48
2) 66
3) 24
4) 33
Answer:
x = 66°
Step-by-step explanation:
The angles lie on a straight line.
→ A straight line has total 180 degrees
2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°Answer:
2) 66
Step-by-step explanation:
2x + 48° = 180° (Angles in linear pair)
-> 2x = 180° - 48°
-> 2x = 132°
-> x = 132°/2
-> x = 66°
Zachary is an engineer and studies trains. He found this interesting problem involving a passenger train and a freight train:
A passenger train left New York and traveled North while a freight left from the same place, at the same time and traveled South. After traveling for 6 hours the trains were 720 miles apart. If the passenger train was traveling at 80 mph, how fast was the freight train traveling
Answer:
40 m/hr
Step-by-step explanation:
6 hours * 80 m/hr + 6 hours * x m/hr = 720 miles
6 * 80 + 6 * x = 720
x = 40 m/hr
Danielle and Esther are selling fruit for a fundraiser. Danielle sold 3 boxes of apples and 2 boxes of oranges for $44.50. Esther sold 5 boxes of apples and 4 boxes of oranges for $81.50. How much did a box of oranges cost?
Let x be the cost of a box of apples and y be the cost of a box of oranges.
Danielle : 3x + 2y = 44.5
Esther: 5x + 4y = 81.5
3x + 2y = 44.5 --- 1
5x + 4y = 81.5 --- 2
6x + 4y = 89 --- 3
From 2 and 3, we have:
x = 7.5
Subsitute x = 7.5 into 1
3(7.5) + 2y = 44.5
2y = 22
y = 11
Therefore, a box of oranges costs 11 dollars
The manager of a car dealership is offering a bonus to any salesperson who sells 2 cars today. Lately, Kim has been able to sell a car to 20% of the customers she greets. She wants to know the probability that she gets the bonus if she greets 7 customers today. To determine this, she uses a random number generator. The following table shows 50 sets of 7 digits. For each digit, Kim assigns the numbers 0 and 1 to selling a car and the numbers 2 through 9 to not selling a car.
The experimental probability of Kim getting the bonus if she greets 7 customers today is
_______.
Answer:
o.48
Step-by-step explanation:
To find the experimental probability of Kim getting the bonus, count the number of sets of digits that have at least two 0's or 1's.
Notice there are 24 sets of numbers that have at least two 0's or 1's. So, the experimental probability of Kim getting the bonus if she greets 7 customers today is or 0.48.
The office building shown has shaded windows for the rooms in which
the lights are turned off.
What portion of the rooms have their lights turned off?
A) 2/3
B) 3/4
C) 15%
D) 60%
Answer:
D
Step-by-step explanation:
First, you count the total number of windows. That's 25. Then you count the number of widows with their lights off. That's 15. After this, you divide 15 by 25 to get the percent of the windows turned off. :)
please help me i don't know the problem
Answer:
see below
Step-by-step explanation:
y = 2x+2
The line is in slope intercept form
y = mx+2 where m is the slope and b is the y intercept
The line intercepts the y axis is b or 2 ( 0,2)
The slope is m = 2
It means we go up 2 and over 1 (2/1)
Starting at (0,2) , up 2 and to the right 1 is ( 1,4)
The next point would be (2,6)
Type the missing number that makes these fractions equal: 1 2 = 2
Answer:
4
Step-by-step explanation:
[tex]\frac{1}{2} * 4[/tex] = 2
Find the slope of the line that is parallel and perpendicular to the following equation.
2x - y = 1
Answer:
Slope of the line that is parallel: 2
Slope of the line that is perpendicular: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)2x - y = 1 <== subtract 2x to both sides
-2x -2x
-y = -2x + 1 <== divide both sides by -1
/-1 /-1
y = 2x - 1
The slope of the line that is parallel to this line is 2.
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (2)
2. Flip it (1/2)
3. Change the sign (-1/2)
For a slope of 2, the reciprocal would be: [tex]-\frac{1}{2}[/tex]
Hope this helps!
Note that.
Slopes of parallel line are equal
Slopes of perpendicular lines are negative reciprocals
So
2x-y=1y=2x-1Compare to slope intercept form
slope=m=2Slope of the parallel line=2
Slope of the perpendicular line=-1/2
Can anyone help me with my homework?
An 80-gallon tub drains at a constant rate of 5 gallons per minute. What is the slope?
Answer:
5
Step-by-step explanation:
The slope is the same as the rate.
5 gallons/1 minute is the rate, so the slope can be written the same way.
5/1 = 5
An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation P2 - 100,000(0.4) represents the
population, Pı, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the same
antibiotic to a second population, P2. The number of bacteria after d days in the second population is represented by the
equation P2 = 100,000(04) 0-4. Which equation is equivalent to pz?
а
O P2 - 2,560(0.4)
O P2 - 99,744(0.4)
O 02 - 100,256(0.4)
O P2 - 3,906,250(0.4)
The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression
The equivalent expression of P2 = 100000(0.4)^(d - 4) is P2 = 3906250(0.4)^d
How to determine the equivalent equation?The equation is given as:
P2 = 100000(0.4)^(d - 4)
Apply the law on indices on the expression.
P2 = 100000(0.4)^d * 1/0.4^4
Rewrite as:
P2 = 1/0.4^4 * 100000(0.4)^d
Evaluate the exponent
P2 = 39.0625 * 100000(0.4)^d
Evaluate the product
P2 = 3906250(0.4)^d
Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is P2 = 3906250(0.4)^d
Read more about equivalent expressions at:
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Answer:
D
Step-by-step explanation:
Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to
select, how many different outcomes are possible?
a. 484
b. 462
c. 44
d. 22
What is the measure of angle 1?
90
Step-by-step explanation:
It's a right-angle triangle
Hope this helps!
Find the area of the triangle
Answer:
10.92cm square
Step-by-step explanation:
Area of a triangle= length * width/ 2
7.8*2.8=21.84
21.84/2=10.92
What are the domain and range of the step function with the equation below?
fx)=-3[x]
The domain is all real numbers, and the range is all real numbers.
0 The domain is all integers, and the range is all integers that are multiples of 3.
O The domain is all real numbers, and the range is all integers that are multiples of 3.
The domain is all integers, and the range is all real numbers.
Answer:
he domain is all real numbers, and the range is all integers that are multiples of 3.
The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.
What is the domain and range of the function?The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.
On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.
Read more on domain and range;
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What transformation of Figure 1 results in Figure 2?
Select from the drop-down menu to correctly complete the
statement.
Choices- Rotation
Reflection
Translation
HeLp
The product of 2 consecutive even integers is 528 find the value of each integers
Answer :-
Value of two integers are 22 and 24Step-by-step explanation:
Given :-
The product of 2 consecutive even integers is 528To Find :-
Value of each integersSolution :-
Let one integer be xother integer be x + 2According to question,
Product of two integers = 528↠ (x)(x + 2) = 528
↠ x² + 2x = 528
↠ x² + 2x - 528 = 0
↠ x² + 24x - 22x - 528 = 0
↠ x(x + 24) - 22 (x + 24) = 0
↠ (x + 24) (x - 22) = 0
↠ x = -24 or 22
Hence,
1st integer = 222nd Integer = 22 + 2 = 24Value of two integers are 22 and 24
Step-by-step explanation:
It is given that, The product of 2 consecutive even integers is 528 and we have to find the value of each integers.
So, Let us assume the 1st consecutive even integer as y and the 2nd as (y + 2)Now, As it is stated in the question that the product of 2 consecutive even integers is 528, So
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { y(y + 2) = 528 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y = 528 }}}} \: \: \\ \\[/tex]
Subtracting both sides by 528 we get :
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 528 - 528 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 0 }}}} \: \: \\ \\[/tex]
We have to find two numbers such that,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { p + q= 24 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { p \times q= 528 }}}} \: \: \\ \\[/tex]
The two numbers are 24 and 22. So,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + (-22y) + 24y - 528= 0 }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}(y -22) + 24(y - 22)= 0 }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { (y -22) (y + 24)= 0 }}}} \\ \\ [/tex]
Whether, the value of y is (-24) or 22.[tex] \: [/tex]
So, The first consecutive even integer is 22.
Now,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=y \:+2 \: }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=2 2+2 \: }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=24 }}}} \\ \\ [/tex]
Therefore,
The value of each integer is 22 and 24.Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =
y-intercept, b =
Answer:
y = 5x + 3
Step-by-step explanation:
If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.
y = mx + b
y = (5)x + 3
y = 5x + 3
I hope this helps!
An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
Equally Likely
Step-by-step explanation:
The answer is equally likely because equally likely events have the same probability of happening as another event.
For example, a fair coin.
It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.
Hope this helps!
If an event has a probability of 1/2 then the likelihood of this event is,
C. Equally likely.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.
A fair coin is an illustration.
Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.
learn more about probability here :
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To celebrate the first day of school, Nathan brought in a tray of caramel brownies and walnut brownies. He brought 100 brownies in all. 4 of the brownies were caramel. What percentage of the brownies were caramel?
Answer:
Step-by-step explanation:
Out of 100 brownies ,4 were caramel.
Ratio of Caramel Brownies to Brownies: 4/100
If you further simplify it , 4/100 is the same thing as 1/25 , which can also be expressed as
Answer: 4% of the brownies were caramel
Find the area please!
*you can use decimals if needed*
Answer:
116 km squared
Step-by-step explanation:
When you get crazy shapes like this, try and look for the basic ones inside (i.e. triangles, rectangles, etc.) I can find one big triangle and two rectangles, one small and one larger. Vide the attatchment for reference.
Step 1. Find the missing variables, x, y, and z
y = 2
x = 6 - 2 = 4
z = 8 + (4) + 2 = 14
Step 2. Find the area of each shape
Triangle:
Area = bh/2 = (8 x 14)/2 = 56 km sq
Big rectangle:
Area = bh = 8 x 6 = 48 km sq
Small rectangle:
Area = bh = 2 x 6 = 12 km sq
Step 3. Add all the areas together
56 + 48 + 12 = 116 km sq
I hope this helps!
is 3(a+y(6x))+(x+5) associative property of addition?
Answer:
Yes
Step-by-step explanation:
Your welcome!
Have a good day! :)
The measures of the angles of triangle PQR can be represented in terms of x
The measure of angle P is (2x)
The measure of angle Q is
(x+17)
The measure of angle R is (x-21)
Create an equation that can be used to find the measure of each angle.
Answer:2x+(x+17)+(x-21)=180
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
How to create an equation to determine the angles?The given parameters are:
P = 2x
Q = x + 17
R = x - 21
The sum of angles in a triangle is 180.
So, we have:
P + Q + R = 180
Substitute known values
2x + x + 17 + x - 21 = 180
Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
Read more about triangles at:
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PLEASEE HELPPPPPPP ASAPPPPPPPPP
Answer:
yes its 50
Step-by-step explanation:
if you need an explanation let me know!
plsss answer thiss.. i need it rn non sense answer will be reported
Answer:
Answer below in the picture
I hope my answer helps you.
A student skipped a step when she tried to convert 1 1 hours to seconds , and she got the following incorrect result
Answer:
39600
Step-by-step explanation
for the amount of minutes we'll multiply 11*60
11*60=660
for the amount of seconds we'll multiply the amount of minutes by 60 so
660*60=39600
What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2
Answer:
a : 2 , b : 1 , c : 0 , d : 0
Step-by-step explanation:
a: 2
b: 1
c: 0
d:0
Answer:
d .
Step-by-step explanation:
I went over it in class .
