Answer:
15 points
Step-by-step explanation:
The start and end point of the caterpillar path are;
Start point = (-3, -4)
End point = (25, 38)
The slope of the caterpillar's path, 'm', given the 'x', and y-coordinates of two points is given by the following formula;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, m = (38 - (-4))/(25 - (-3)) = 1.5
The equation of the caterpillar's path in point and slope form is given as follows;
y - (-4) = 1.5 × (x - (-3))
y + 4 = 1.5 × (x + 3)
y + 4 = 1.5·x + 4.5
y = 1.5·x + 4.5 - 4 = 1.5·x + 0.5
y = 1.5·x + 0.5
Given that the 0.5 is added to the product of 'x' and 1.5, the points that have both integer points for 'x', and 'y' are the points that have odd number values of 'x', as follows;
(-3, -4), (-1, -1), (1, 2), (3, 5), (5, 8), (7, 11), (9, 14), (11, 17), (13, 20), (15, 23), (17, 26), (19, 29), (21, 32), (23, 35), (25, 38)
Therefore, we have 15 points counting the start and end points with integer coordinates
Caroline and Chase are working on math homework. They decide to race to see who can finish first. Caroline is on number 12 and can solve 1 math problem in 1.5 minutes. Chase is on number 16 and can solve 1 math problem in 2 minutes. How many minutes will it take before they are on the same problem?
Answer:
It will take 24 minutes before they are on the same problem.
Step-by-step explanation:
Caroline is on number 12 and can solve 1 math problem in 1.5 minutes.
Per minute, she solved [tex]\frac{1}{1.5} = \frac{2}{3}[/tex] of a problem. So, after t minutes, she will be on the problem:
[tex]Ca(t) = 12 + \frac{2t}{3}[/tex]
Chase is on number 16 and can solve 1 math problem in 2 minutes.
Per minute, he solved [tex]\frac{1}{2}[/tex] of a problem. So, after t minutes, he will be on the problem:
[tex]Ch(t) = 16 + \frac{t}{2}[/tex]
How many minutes will it take before they are on the same problem?
This is t for which:
[tex]Ca(t) = Ch(t)[/tex]
So
[tex]12 + \frac{2t}{3} = 16 + \frac{t}{2}[/tex]
[tex]\frac{2t}{3} - \frac{t}{2} = 4[/tex]
[tex]\frac{4t-3t}{6} = 4[/tex]
[tex]\frac{t}{6} = 4[/tex]
[tex]t = 24[/tex]
It will take 24 minutes before they are on the same problem.
An object of mass 40kg moves with an acceleration of 10m/s2 calculate the force of the object
Answer:
F=Mxa
Step-by-step explanation:
Therefore, Mass of 40kg x 10ms² = 400N
Exercise 2
Directions: Choose the letter of the correct answer
Example:
in the expression 7 + 2 (4x5)-9, which is the last operation to do? Answer: B
A. addition B. subtraction C. multiplication D division
1. In the expression 8 + 4 x 6-12, which operation will you do first?
A. addition B. subtraction
C.multiplication D. division
2. In following the GEMDAS rule, with the expression, 5x3+9 - 4 + 2, what will be
operation to do?
A. addition B. subtraction C. multiplication D. division
In the expression, 5 x 4+ (8-2), what will be the second operation to do?
A. addition B. subtraction
C. multiplication D. division
In the expression 9 +2 x 5-3, which operation will you do last?
A. addition B. subtraction C. multiplication D. division
In the expression, 32 x 4 +2+8, which will you do first?
A. exponent B. multiplication C. division
D. additic
Latoya's piano recital started at 3:51 PM.
It ended at 5:27 PM.
How long did the recital last?
hour(s) and 3 minute(s)
Answer:
1 hour and 36 minutes
Step-by-step explanation:
On a random Friday in the fall, 95% of students were present at school. If there are a total of 420 students enrolled, then how many students were present that day
[tex] \frac{95}{100} \times 420 = 399[/tex]
PLEASE HELPPPP! Emily is entering a bicycle race for charity. Her mother pledges $0.80 for every 0.5 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer: $12.80
Step-by-step explanation:
:)
Answer:
$12.80 donated money if she bikes 8 miles. solved by finding out how much money she'll get in a mile add .80+.80 and get $1.60. this is way easier to set up equation instead if doing it by half mile. equation is y=1.6(x) // y is money donated, x is $1.60
A spinner has five equal portions colored orange, red, blue, yellow, and green. What are the odds against spinning a red or an orange?
Answer:
2/5
the denominator is five because it says that there is five equal portions of the spinner. The numerator is too because you are trying to find the odds of getting two colors
See attactched pdf file (trigonometry)
Answer:
Step-by-step explanation:
∠VMC=180-90-48
=42
∠PMV=180-22-90-42
=26
5/sin48=VM/sin90
VM=6.728( correct to three decimal places)
6.728/sin22=PV/sin26
PV=7.873( correct to three decimal places)
4. A trapezoid with bases that measure 8 inches and 11 inches has a height of 3 inches. What is the area of the trapezoid?
Answer:
28.5
Step-by-step explanation:
Answer:
25.5 in^2
Step-by-step explanation:
the formula to calculate a trapezoid is (base 1 + base 2) * height/2
So, (8+11)*3/2
17*3/2
51/2
25.5
Can someone help me with this I need help
Answer:
d)550
15 * 10 = 150; 150 * 2 = 300
5 * 10 = 50; 50 * 2 = 100
5 * 15 = 75; 75 * 2 = 150
300 + 100 + 150 = 550
10. Walter makes a cable payment of $84 each month. Which table
represents the relationship between m, the number of months,
and c, the amount he has paid for cable for that length of time?
joe bought 8 tickets to indoor trampoline park for 60$
A school has 8 periods at day each of 45 minutes duration. How long would each period be ? The school has 6 periods a day? (assuming the number of school hours to be the same)
Answer:
The school has 6 periods a day needs 1 hour for each.
Step-by-step explanation:
8 period =45×8=360 minute
6 perod =360/6=60minute
Find the central angle measure
Answer:
No i don't know needed the point bye
Step-by-step explanation:
In an art class, 40% of the members are boys. 20% of the boys and 50% of the girls have learnt how to play a piano. If there are 150 members in the class, how many members have learnt to play piano?
Answer:
57
Step-by-step explanation:
Janet is playing a game in which she interacts with an environment to solve a puzzle and to meet new characters. She really enjoys this game because there are no time constraints or pressure to perform with speed. What genre of game is Janet most likely playing?
simulation
action
adventure
sports
Answer:
adventure
Step-by-step explanation:
Answer:
adventure
Step-by-step explanation:
Using the graph below, what is f(5)?
F(5) would be the y value of where the line is when it is at x 5
The line crosses at -6.5
F(5) = -6.5
35 to 77 simplified is
Answer:
5/11
Step-by-step explanation:
35 to 77 simplified is 5/11
35 ÷ 7
---------
77 ÷ 7
Therefore, 35/77 simplified to lowest terms is 5/11.
Hope that helps
And if wrong sorry
in a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. what are the odds of a yellow marble being selected on the first draw?.
it is 2/6
you add all the marbles to the bottom and the yellow to the top
12 : 50 : :18: ? what is the answer?
Answer:
6:25:9
Step-by-step explanation:
12:50:18
6:25:9
I think the question is asking for the ratio to be simplified, if so then that's what the answer is.
Answer:
75
Step-by-step explanation:
12 : 50 :: 18 : x
In proportion, Product of extremes = Product of means
12 * x = 50*18
[tex]x =\frac{50*18}{12}=\frac{50*3}{2}[/tex]
x = 25 * 3 = 75
.) Which ordered pair shows an equivalent ratio
of pounds to dollars?
(24,30)
(20,25)
(25, 20)
(40.36)
Answer:
I think (25, 20) is your answer. hope it helps.
The equivalent ratio to (5, 4) is (25, 20). Therefore, option C is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The coordinates from graph are (5, 4), (10, 8), (15, 12) and (20, 16).
Equivalent ratios are ratios that can be simplified to the same value by dividing both the values by a common fraction.
Here,
(5, 4)=5(5, 4)=(25, 20)
(10, 8)=2(10, 8)=(20, 16)
(15, 12)=2(15, 12)=(30, 24)
(20, 16)
The equivalent ratio to (5, 4) is (25, 20). Therefore, option C is the correct answer.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
[tex]three times the sum of some number and 2 is equal to 15. Find the number?[/tex]three times the sum of some number and 2 is equal to 15. Find the number?
Answer:
Step-by-step explanation:
3(x+2) = 15
X+2 = 5
X = 3
what is 25 divided by 465d
Answer:
0.0537634409. This is your answer.....
Hope it helps!!!!!
Answer:
465 divide 25 = 18.6
25 divide 465 is 0.05347634
Step-by-step explanation:
we know 8 x 5 = 40
so which of the following statements are also true.
A: 8 is a factor of 40
B: 5 is a multiple of 8
C: 5 is a factor of 40
Answer:
A and C are true
Step-by-step explanation:
because 8*5=40 so 8 and 5 both are factors of 40
the answer is c
Step-by-step explanation:
if you count by fives. 5 10 15 20 25 30 35 40. you get 40.
The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?
Answer:
6
Step-by-step explanation:
W=L-2
A=L*W
48=L(L-2)
48=L^2-2L
You factor and then you get L=8
W=8-2=6
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
Answer:
In mih's school there are 100 boys
While in Ella's school there are 80 boys
Step-by-step explanation:
X*1/5=20
X=100
X*1/4=20
X=80
Can someone tell me the formulas for this
Answer:
square = a=x^2 x= one of the sides of the square
triangle= a[tex]=\frac{1}{2}bh[/tex] b=base h=height
circle = a=πr² π = pi r=radius
rectangle a = l * w l=length w=width
Step-by-step explanation:
hope this helps (:
12 of the students in the art class like to draw animals these 12 students make up 24% of the art class how many students are in the art class
Answer:
50 students in total or X=50
Step-by-step explanation: 12 is 24% of X
We can make this into a box-like figure
12 24
X 100 X is the missing number
We then multiply 12 by 100 which equals to 1,200.
We then divided the 1,200 by 24, this results in your X which equals to 50.
X=50 students
HELP ME Write and solve a proportion to find y.
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
[tex]d'\propto d[/tex]
[tex]d'=kd[/tex]
[tex]\dfrac{d'}{d}=k[/tex]
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
[tex]k=\dfrac{OB'}{OB}[/tex]
[tex]k=\dfrac{36}{16}[/tex]
[tex]k=\dfrac{9}{4}[/tex]
We know that,
[tex]k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}[/tex]
[tex]\dfrac{9}{4}=\dfrac{A'C'}{AC}[/tex]
[tex]\dfrac{9}{4}=\dfrac{27}{y}[/tex]
[tex]9\times y=27\times 4[/tex]
Divide both sides by 9.
[tex]y=\dfrac{27\times 4}{9}[/tex]
[tex]y=3\times 4[/tex]
[tex]y=12[/tex]
Therefore, the value of y is 12.
3
An aeroplane flies 4200 km at a speed of 800 km/ how long is the flight
