Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?
Answer:
Shell is under Red color cup
Step-by-step explanation:
We have 3 cups and 3 objects which they cover under them.
Taking into consideration (4) and (2) as they both describe the position related to bean
(4) Gray cup →Bean (right) (2) coin ← bean (left)
that means coin can either under Gray cup or left to gray cup.
Now
(1) Red ← White (left) (3) Shell → Gray (right)
This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)
so coin will be under gray cup
on forming the Color of cups and the coin below them
C1 C2 C3
Red Gray White
__ __ __
Shell coin Bean
So Shell is under Red color cup
(X+5)/2 = (2x-1)/3 what’s x?
Answer:
x= 3x=17/4
Step-by-step explanation:
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination
Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?
================================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 8200*(1+0.02/1)^(1*7)
A = 9419.2224747241
A = 9419.22
Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.
PLS HELP ILL GIVE BRAINLIEST WHOEVER ANSWERS PLS :(
Answer:
stem: 5
leaf: 0, 6
stem: 6
leaf: 0, 2, 5, 6
stem: 7
leaf: 1, 5
stem: 8
leaf: 6
stem: 9
leaf: 9
i hope this helps <3
Step-by-step explanation:
please help meeeeeeeeeee
Answer:
x=-5
Step-by-step explanation:
If f(x)=0, then x=-5
Drawing the line y=0 shows this visually
Rochelle wants to use all of her raisins to bake batches of granola. She has 3/4 cup of raisins.
Each batch requires 1/8 cup of raisins. How many batches can she make?
Answer:
She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.
The average daily maximum temperature in Cyprus is 21.85 degrees Celsius in the average daily minimum temperature is -4.7 degrees Celsius is the average daily maximum temperature is blank Celsius higher than the average daily minimum temperature
Answer:
26.55°C
Step-by-step explanation:
21.85 + 4.7
Average maximum daily temperature = 21.85°C
Average minimum temperature = - 4.7°C
The average daily maximum temperature is x°C higher than the average daily minimum temperature ;
x = (maximum temperature - minimum temperature)
x = (21.85 - (-4.7))°C
x = (21.85 + 4.7)°C
x = 26.55°C
Hence, The average daily maximum temperature is 26.55°C higher than the average daily minimum temperature
the perimeter of a isosceles triangle is 5(2+root2) find the area
Answer:
12.5
Step-by-step explanation:
If an isosceles right triangle as the length of the equal sides is a , then the length of the hypotenuse will be a2–√ (using pythogoras theorem.
Hence the perimeter will be a+a+a2–√=a(2+2–√)
Hence the equal sides of the triangle in question has the length of a=5
Area of the triangle = 12∗Height∗Base
=12∗5∗5=12.5
Pls help I’m timed on my test
what is the y- intercept of the linear function?
Y = -1/3 x + 1
Answer:
+1
Step-by-step explanation:
the last number is the y intercept
Answer:
The y-intercept is (0,1).
Step-by-step explanation:
y=mx+b
b is the y-intercept
click on the volume of this rectangular prism.
Answer: 192 cubic inches
Step-by-step explanation:
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answer:
B
Step-by-step explanation:
I have no idea how to find the values of x and y in that diagram. Can someone help?
Answer:
Multiple choice?
Step-by-step explanation:
Consider the enlarged triangle.
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
Which steps should be used to find the perimeter? Check all that apply.
Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.
Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2
Calculate the perimeter of the original figure.
Multiply the perimeter of the original figure by the scale factor.
Step-by-step explanation:
A, C, D
The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
First find the scale factor.
Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2
Now, find the perimeter of the original figure.
Perimeter of the original figure = 4 + 5 + 3 = 12
Now.
Perimeter of enlarged figure = Scale factor × Perimeter of original figure
= 2 × 12
= 24
Hence the correct steps are first, third and last step.
Learn more about Scale Factor here :
https://brainly.com/question/29929067
#SPJ3
To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?
A.) Henry’s cousin practices with the choir
B.) Henry is in the choir
C.) Henry’s cousin went to an audition
Answer:
b
Step-by-step explanation:
Answer:
Henry's cousin went to an audition.
Step-by-step explanation:
PLEASE HELP!!QUICK! in 3 years ,a gyms membership went up from 6,400 to 8,400.which expression shows how to find the percent of increase?
A.2,000 divide by 8,400
B.2,000 divide by 6,400
C.6,400 divide by 2,000
If you buy every item in the song, The Twelve Days of Christmas, how many items will you buy?
Answer:
Total item = 364
Step-by-step explanation:
1 partridge for 12 days = 12 x 1 = 12
2 turtle doves for 11 days = 11 x 2 = 22
3 french hens for 10 days 10 x 3 = 30
4 calling birds for 9 days = 9 x 4 = 36
5 gold rings for 8 days = 8 x 5 = 40
6 geese a-laying for 7 days = 7 x 6 = 42
7 swans a-swimming for 6 days = 6 x 7 = 42
8 maids a-milking for 5 days = 5 x 8 = 40
9 ladies dancing for 4 days = 4 x 9 = 36
10 lords a-leaping for 3 days = 3 x 10 = 30
11 pipers piping for 2 days = 2 x 11 = 22
12 drummers drumming for 1 day = 1 x 12 = 12
Total item = 364
Write the quadratic equation in standard form:
3x – 17 + 3x^2= -4
What does the word Expressions mean in mathematics in your own words?
Answer:
Expression in mathematics means word problem.
Could you guys help me solve 9 I would appreciate it :)
Answer:
Step-by-step explanation:
12<18/3(-2)+12 turns into 12<18/-6+12
False
Help will give crown
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.
In the equation LaTeX: y=kx what does each variable represent.
Answer:
y = dependent variable
k = constant of proportionality or constant rate of change
x = independent variable
Step-by-step explanation:
The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.
y represents the dependent variable
k represents the constant of proportionality or constant rate of change
x represents the independent variable
SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT
Answer:
7
40
the answer is 7 fortyths
working out
3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths
5 sixths +1 third + 1 half = 10 sixths
7 twentyforths divided by 10 sixths= 7 fortyths
Find that x and y intercept 4x-5y=40
Answer:
x intercept: 10, y intercept: -8
Step-by-step explanation:
make into y = mx + b
4x = 5y + 40
4x - 40 = 5y
y = 4/5x - 8
plug in 0 for x, to find y intercept
y = -8
plug in 0 for y, to find x intercept
0 = 4/5x - 8, x = 10
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
Solve :x^7/x^5+2x^4+x^3 × (x+1)^3/x^4
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown in the table.
History Math Science Total
High School 80 50 70 200
College 70
60
70 200
Total 150 110 140 400
What percentage of the students are college students that prefer history?
O A. 17.5%
OB. 35%
OC. 37.5%
D. 46.7%
E 75%
Answer: 35%
Step-by-step explanation:
10 flowers in 5 vases = ? flowers per vase
Answer:
there are 2 in each vase
Answer:
2 flowers per vase
Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12
Answer:
y=4x+11
Step-by-step explanation:
Answer:
y=4x+11
Step-by-step explanation:
y - 3 = 4(x + 2)
=
y - 3 =4x + 8
=
y - 3 (+3) = 4x + 8 (+3)
=
y=4x+11