Step-by-step explanation:
5x - 32 = kx + 3
(5 - k)x = 35
This equation fails when (5 - k) = 0, or k = 5.
The sum of 3 and a number is between -2 and 17.
Answer:
The number, x = { -5 < x < 14}
This means x is any integer between -5 and 14
Step-by-step explanation:
From the statement, let the number be x
3 + x = y; y = { -2 < y < 17}
This means that y is any integer between -2 and 17
Therefore, x = y - 3
Subtract 3 from the limits of y
i.e. -2 - 3 = -5 and 17 - 3 = 14
Hence, x = { -5 < x < 14}
25 points
What type of graph is best to use to compare two sets of data over time?
Answer:
Bar Graph
Step-by-step explanation:
Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time
If you know this please help and explain this for me thanks
Answer:
y int is (0,5)
slope is m=-2
y=-2x+5
Step-by-step explanation:
The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)
Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.
A biologist recorded a count of 348 bacteria present in a culture after 5 minutes and 1088 bacteria present after 20 minutes. To the nearest whole number, what was the initial population ?
Answer:
The initial bacteria population is 238
Step-by-step explanation:
Let us have the increase as an exponential equation
P(t) = I(1 + r)^t
where P(t) is the count at a particular time
r is the percentage increase
I is the initial population
t is the time
So for 5 minutes, we have
348 = I(1 + r)^5
For 20 minutes
1088 = I(1 + r)^20
Divide the second equation by the first
1088/348 = I(1 + r)^20/I(1 + r)^5
3.13 = (1 + r)^15
Take the ln of both sides
ln 3.13 = 15 ln (1 + r)
ln 3.13/15 = ln (1 + r)
0.0761 = ln (1 + r)
1 + r = e^0.0761
1 + r = 1.079
r = 1.079-1
r = 0.079 which is 7.9%
So per minute. we have an increase of 7.9%
So let’s get I by substituting
From;
348 = I(1 + 0.079)^5
348/1.079^5 = I
I = 237.9 which is 238 to the nearest whole number
Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?
Answer: 7 pounds
Step-by-step explanation: 1 3/4×4=7
Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9) B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)
9514 1404 393
Answer:
C 18(2 + 3)
Step-by-step explanation:
The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...
36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C
What is the equation of the following line written in slope-intercept form?
y = 5x
y = -5x
y =
Answer:
_+5 is the best way to get the best way answer
what is 2+2 in pemdas
Answer:
Addition with the result of 4Step-by-step explanation:
Given
2 + 2 = 4PEMDAS is the rule that includes order of operations in the sequence:
Parentheses, Exponents, Multiplication and Division, Addition and SubtractionIn the given expression we have Addition bit of PEMDAS
Use parentheses to show two ways of grouping the numbers in 12 • 8 • 25. Tell which expression you think would be easier to simplify, and why. Then simplify the expression.
Step-by-step explanation:
First no. is 12
Second no. is 8
Third no. of 25
Way 1 of grouping the numbers,
(12×8)×25
We can use associative law of multiplication as follows :
(a×b)×c = a×(b×c)
(12×8)×25 = (96) × 25
= 2400
Way 2,
12×(8×25) = 12 × 200
= 2400
Way 2 is easier to simplify because when we multiply 8 and 25, we get 200. It is very easy to multiply any number with a number that have zeroes. As a result we easily get the answer i.e. 2400.
Answer:
ionk
Step-by-step explanation:
A school has 1,000 students on Wednesday, 300 students went on a field trip. What percent of students did not go on the field trip?
Answer:
%70
Step-by-step explanation:1,000=%100 300+%30 1000 - 300 = 700 so 700 + %70
Please help!!!!!!!!!!!!!!!!!
Answer: 5 up 10 over
Step-by-step explanation:
I had this on my quiz
Complete the function
table below for y= 4x + 5. (Look at the photo.)
Answer:
5, 25, 45
Step-by-step explanation:
okay so it goes like this, the number in the x colume X 4 + 5 so 0 X 4 = 0 + 5 = 5, 5 X 4 is 20 + 5 = 25 and 10 X 4 =40 + 5 = 45.
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.
Answer:
Step-by-step explanation:
Jill walks 3/5 mile in 1/2 hour. How fast is this in miles per hour?
Answer:1.2mph
Step-by-step explanation:
3/5*2=1.2 and 1/2*2=1 so it’s 1.2 mph
The line given by the equation y=x is shifted up 3 units and more steep by a factor of 2. What is
the equation of the new line?
y = 2x - 3
y = 2x- 3
y =1/2x -3
y = 1/2x + 3
Miley earns $10 per hour babysitting. Is the amount of money earned proportional to the number of hours she spends babysitting? If it is proportional, find the constant of proportionality, explain what it means, and write an equation to represent the situation. Then find out how much she would make for babysitting 5.5 hours.
Answer:
think what constant of proportionality is
Step-by-step explanation:
1. Marlin averages for his Social Studies class is listed below. If the teacher
weights homework at 20%, quizzes at 20%, tests at 45%, and the final exam
at 15%, what is Marlin's class average?
1)61%
2)71%
3)74%
4)82%
I need help with this question plsss
Which one is it need helpllll
Answer:
it is D) 25
Step-by-step explanation:
Cherries are on sale for $16 for 4 pounds. Jordyn pays $88.00 for cherries to make a cobbler. How many pounds of cherries doses she buy?
Ivan earned $343.75 for working 25 hours last week. How much does Ivan get paid per hour?
Answer:
$13.75
Step-by-step explanation:
Ivan earns $343.75 working for 25hours
The amount that Ivan gets if he works for 1 hour can be calculated as follows
= 343.75/25
= 13.75
Hence the amount paid for one hour is $13.75
10. The perimeter of a rectangle is 96m. Its length is double its breadth. Find its length and breadth.
11. Observe the following and identify the type of angles in them.
Answer:
breadth=16cm and length=32cm
Let breadth be X
According to question,
lengtg=2X
Now,
Perimeter=2(l+b)
or,96=2(2X+X)
or,96=2(3X)
or,96=6X
or,96/6=X
or,X=16cm.
length =32 cm and breadth =16 cm
Answer:
length = 32 cm, breadth = 16 cm
Step-by-step explanation:
let breadth be b then length is 2b, then
2b + 2(2b) = 96
2b + 4b = 96
6b = 96 ( divide both sides by 6 )
b = 16
Thus
breadth = 16 cm and length = 2 × 16 = 32 cm
Which ordered pair would form a proportional relationship with the point graphed below?
40
(-20, 40)
30
20
10
-40-30-20
-20-1901 10 20 30 40
-20
30
140
O (-40, 20)
1-10, -20)
Find the values of X and Y.
Given:
A figure.
To find:
The value of x and y.
Solution:
In triangle ADC, all angles are equal, so it is an equilateral triangle.
We know that, all sides of an equilateral triangle are equal.
[tex]AD=AC[/tex] ...(i)
[tex]3x-5=5y-4[/tex] ...(ii)
In triangle ABD,
[tex]\angle BAD=\angle ABD[/tex]
Base angles are equal, so triangle ABD is an isosceles triangle.
[tex]AD=BD[/tex] ...(iii)
Using (i) and (iii), we get
[tex]AC=BD[/tex]
[tex]5y-4=y+12[/tex]
[tex]5y-y=4+12[/tex]
[tex]4y=16[/tex]
Divide both sides by 4.
[tex]y=4[/tex]
Putting y=4 in (ii), we get
[tex]3x-5=5(4)-4[/tex]
[tex]3x-5=20-4[/tex]
[tex]3x-5=16[/tex]
Adding 5 on both sides, we get
[tex]3x=16+5[/tex]
[tex]3x=21[/tex]
Divide both sides by 3.
[tex]x=7/tex]
Therefore, the value of x is 7 and the value of y is 4.
Which number is divisible by both 5 and 6?
A. 132,359
B. 142,645
C. 164,780
D. 193,560
Answer:
D
Step-by-step explanation:
There are 30 students in the class and 270 apples. if the apples are divided equally among the students, how many does each student get?
Answer:
9
Step-by-step explanation:
270/30=9
What is the slope ?????????
Answer:
[tex]m=\frac{8}{5}[/tex]
Step-by-step explanation:
Answer: The slope is -8/5
Step-by-step explanation:
Using the located points (-1,4) and (4,-4) we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates of the same points.
Difference in y: 4 - (-4) = 8
Differecence in x -1 - 4 = -5
Slope: 8/-5
I need statements and reasoning to prove IG is congruent to HJ
Find the slope of the line 0,-19 20,15
plssss helpppp !!!! find the missing side length me in the rectangular prism
