josh sketched on a paper tree one-fifth of a foot tall. Then he drew the same tree on the wall two-thirds of a foot tall to decorate his room. how much larger than the sketch is the drawing.
Answer:
Step-by-step explanation:
Subtraction
Equation
2/3 - 1/5
Solution
20/30 - 6/30
14/30
7/15
The tree on the wall is 7/15 of a foot larger than the tree on paper.
Division
2/3 // 1/5 = 2/3 * 5/1 = 10/3 = 3 1/3
The tree on the wall is 3 1/3 times the tree in the drawing.
find the values of x in [0,360) which satisfy 2cot^2x=-3cscx
Answer:
The values of x is -30 degrees and undefined
None of these values fall within the given range
Thus, no value within the given range is the solution to the equation
Step-by-step explanation:
Here, we want to find the value of x that works for the equation in the selected range
2cot^2x = -3csc x
Mathematically, from trigonometry;
cot^2x = csc^2x - 1
Substitute this above
2(csc^2x - 1)= -3csc x
let csc x = b
2(b^2-1) = -3b
2b^2 - 2 + 3b = 0
2b^2 + 3b - 2 = 0
2b^2 + 4b - b - 2 = 0
2b(b+ 2) - 1( b + 2) = 0
(2b-1)(b + 2) = 0
2b = 1
b = -2
b = 1/2 = 0.5
or b = -2
Recall;
csc x = b
x = csc^-1 b
x = csc^-1 0.5
x = undefined
Secondly;
b = -2
x = csc^-1 (-2)
x = -30 degrees
As we can see , between the points
0 ≤ x < 360
None of our answers fall in these range
the order of the surd 7√8
Hello,
[tex]7 \sqrt{8} = \sqrt{7.7.8} = \sqrt{392} [/tex]
Býe býe.
Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9? (1 point)
Answer:
36/25
Step-by-step explanation:
7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9
((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =
= (42/35)^2 * (1 * 5^3)^3 * 5^-9
= (6/5)^2 * 5^9* 5^-9
= 36/25 * 5^0
= 36/25
please help this is due in 10 mins. 1
On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. 3.Which number is the slope of the line shown by the equation? A .14 C .70 B. 40 D.75 4.Which number is the y-intercept A. 14 C. 70 B.40 D.75
Answer:
Which number is the slope of the line shown by the equation?
B. 40
Which number is the y-intercept
D.75
Step-by-step explanation:
The formula for the Equation of a line =
y = mx+b
where:
m is the slope and b is the y-intercept.
Hence, interpreting the above question:
On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour.
x is the number of hours and y is the total fee.
Hence, the Equation we have is:
y = $40 × x + 75
y = 40x + 75
Comparing with the Equation of a line formula
= y = mx+b
Therefore:
The slope of the line = 40
The y intercept = 75
The ratio of cherry candies to grape candies in a bag is 3:5. After your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. How many candies are left in the bag?
Answer:
65
Step-by-step explanation:
The computation of the number of candies left in the bag is as follows:
Let us assume the cherry candies be c ;
And, grape candies be g
Now the ratio between them is 3:5
And, in the case when half of the candies are eaten and one cherry is also eaten so the ratio is
(c - 1) ÷ (g ÷ 2) = 7 ÷ 6
After subsitution
It would be
(3 ÷ 5g - 1) ÷ (g ÷ 2) = 7 ÷ 6
Now after solving it,
g = 60
And, the c = 35
As the candies are half so it would be 30 now
So, the number of candies together is
= 35 + 30
= 65
Sandra rollerbladed ALL DAY. When she got home, she realized that she had
traveled 93.5 miles in 8 hours. What is her unit rate?
her unit rate was about 11.7 miles per hour.
divide 93.5 by 8 to get answer.
hope this helps.
i could also be wrong.
What is the length of segment V? Help please asap
Answer:
11
Step-by-step explanation:
8+6=14
14-3=11
Find the value of k so that the binomial (x – 3) is a factor of the function f(x) = 3x + 2x + kr - 3.
A. 32
B. -32
C. 13
D. -13
E. -22
what is 31 billion in scientific notation?
explain clearly <3 :D
Answer:
3.1*10^10
Step-by-step explanation:
31 billion would be written like that because... there are 9 0's left, and that goes up to 10 because i turned 31 to 3.1 not 31, so that value after a decimal point adds 1
1. A small college requires its students to take at least one Mathematics course and at least one Science course. A survey of 140 of its students shows that:
60 completed their Mathematics requirement, 45 completed their Science requirement and 20 completed both Mathematics and Science requirements. Use a Venn diagram to find the number of students who had completed:
a. exactly one of the two requirements;
b. at least one of the requirements;
c. neither requirement.
Answer:
65
85
Step-by-step explanation:
Exactly one of the two requirement
Maths only = 45 - 20 = 25
Science only = 60 - 20 = 40
Exactly one = (25 + 40) = 65
B.) Atleast one :
(25 + 40 + 20) = 85
C) Neither :
140 - 85 = 55
What is the equation of the line through the points (1, 1), (5, 4), (9, 7) and (13, 10)? y=3/4x+1/4
y=4/3x+1/3
y=3/4x−1/4
y=4/3x−1/3
Please help
Answer:
y = 3/4 x + 1/4
Step-by-step explanation:
line through the points (1, 1), (5, 4)
slope (m) = (4 - 1) / (5 - 1) = 3/4
y = mx + b b = y - mx ... for point (1 , 1)
b = 1 - 3/4 = 1/4
Line: y = 3/4 x + 1/4
check for point (9 , 7): 3/4 * 9 + 1/4 = 28/4 = 7
factor 64x² + 114x + 81
um idk how to do these and I'm not gonna learn please help. also I'm gonna have a lot more like this so if you can go through my questions and answer them if you know how... that would be great :)
Can you please help me!? Explain and show work, please!
Answer:
no solution
Step-by-step explanation:
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski his speed on the jet ski was 10 mph faster than the motor boat bill spent a total of 4 hours on the water what was his speed in the motor boat
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
PLS HELP FIRST ONE RIGHT GETS BRAINLEST |||| A produce stand is packing blueberries into 2/5 pound containers. How many containers can be filled with 60 pounds of blueberries? 1/150 1/24 24 150
Answer:
The answer is 24
Step-by-step explanation:
24
Answer:
24
Step-by-step explanation:
24
3(1−9a)+22a=2(2a−9)−15
i need a step by step explanation please
Answer:a=4
Step-by-step explanation:
Expand the brackets. Collect like terms. Get the same values on each side so it’s easier to isolate a. Divide 9 from 9a so that u get a by itself and this gives u the answer if 36/9 or 4.
Answer:
a = 4
Step-by-step explanation:
first distrubute the 3 and then 2 in the equations to whatever is inside the parantheses:
3 ( 1-9a) + 22a = 2(2a-9) -15
3 - 27a + 22a = 4a - 18 - 15
then combine the terms:
3 - 5a = 4a -33
then isolate the variables and constants to one side, for example move the 5a to the right side of the equation and move the 33 to the left side of the equaiton and then simplfy
36 = 9a
divide both sides by 9
a = 4
The table shows the width and length of different pictures that Shakira has enlarged for the school yearbook:
Enlarged Picture
2 5
4 10
6 15
Based on the table, what is the length of a picture that has a width of 18 inches?
A:36
B:38
C:45
D:90
I really need help pls and thx
Answer:
If the left column is the width then the length is 45
If the right column is width then the length is 7.2
Step-by-step explanation:
ratios
please help look at the picture to see the question.
Answer: oo I did this in one quiz i thnk is c I put thaha
Step-by-step explanation:
solve the inequality
2(4x-3)>-3(3x)+5x
When solving 7.6 ÷ 10, how is the decimal point moved?
1 place to the right
1 place to the left
2 places to the right
2 places to the left
Answer:
1 place to the left
Step-by-step explanation:
im pretty sure
Hurry answer please
A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.
B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.
I hope this helps, and Happy Holidays! :)
Answer:
1) 5 units
2) 5
Step-by-step explanation:
absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7
also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5
hope this helps :)
please help! i need this done now<3
Answer:
25
Step-by-step explanation:
someone please help
Answer:
6
Step-by-step explanation:
Find the perimeter of the triangle
Answer:
60 ft
Step-by-step explanation:
(x+13) = (3x-1) = (6x-22) since the triangle is equaililateral
(x+13) = (3x-1) (we only need to chose 2)
-2x=-14
x=7
after this, we just need to plug in the number for x
3(7)-1= 20--->since the triangle has 3 congruent sides, they all have the distance, so 20x3=60
60FT
Can someone tell me if these equations are parallel, perpendicular, intersect but not perpendicular, or coincide??
3x = 4y - 6
-4x = 3y - 6
Which is the best estimate of 28x0.64
Answer:
the full answer is 17.92, so that would round up to 18
Step-by-step explanation:
:)
As part of summer camp, Henry goes on a treasure hunt. He starts at the base of a tree and walks 180 feet due north. He then turns and walks 80 feet due east. (Hint: Draw a picture.)
How far is Henry from the tree? Round your answer to the nearest foot.
Answer:
hmmmmmmmmmmmmmmm
62
Step-by-step explanation:
How many solutions does the following equation have?
5x + 4 = 3(2x - 5) - (x + 5)
One. Many. None