Answers
= 4/4+3/4=7/4. (7/4)*6=42/4. to divide by 7, we multiply 7 to the denominator to get 42/28, simplifying it to 3/2 or 1+1/2 tons
Related Questions
The solution generated by the calculator is 5.779E–8. Describe how to interpret the solution.
Answers
the E-8 at the end means the number is multiplied by 10^-8
so 5.779E-8=
5.779 x 10^-8 =
a negative power means move the decimal place that many places to the left
so 5.779 x 10^-8 =
0.00000005779
Answer:
the E-8 at the end means the number is multiplied by 10^-8
so 5.779E-8=
5.779 x 10^-8 =
a negative power means move the decimal place that many places to the left
so 5.779 x 10^-8 =
0.00000005779
Step-by-step explanation:
Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side c = 34
A. 51
B. 36
C. 72
D. 17
Answers
38^2+34^2 = 50.99^2, rounding 51!!
The length of the missing side = side B = 17 (D) or 51(A)
Further explanationTriangles are flat fields bounded by 3 intersecting sides and 3 angles
This side can be the same length or different.
If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle
There is a hypotenuse in this triangle which is the sum of the two sides
[tex]\large{\boxed{\bold{C^2=A^2+B^2}}[/tex]
where c = hypotenuse
a and b = side/leg
This formula is known as the Pythagorean theorem which states that:
the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.
or
the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse
While the angle formulas used are
sin a = opposite / hypotenuse cos a = adjacent / hypotenuse tan a = opposite / adjacent
From the problem it is known that side A = 38 ,side b = b, side c = 34
There are 2 possible solutions to this problem because the image does not exist:
1. side A as the hypotenuse side (the longest side) 2. side B as hypotenuse sidePossible Solution no 1
A² = C²+B²(A=hypetenuse)
B² = A²-C²
B² = 38² - 34²
B² = 288
B = √288
B = 16.97, round to the nearest tenth ⇒ 17 (answer D)
Possible Solution no 2
B² = A²+C²(B=hypotenuse)
B² = 38² + 34²
B² = 2600
B = √2600
B = 50.99, round to the nearest tenth ⇒ 51 (answer A)
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Keywords: Pythagoras' theorem, the trigonometric, hypotenuse
Find the equivalent function to f(x) = 3(6)^2x
Answers
f(x)=3(6)^(2x)
f(x)=3(6^2)^x
when we expand the above we get:
f(x)=3(36)^x
the answer is f(x)=3(36)^x
Answer:
f(x) = 3(36)x
f(x) = 182x
f(x) = 108x
f(x) = 9x(36x)
Step-by-step explanation:
The value of 4 in 3,492 is how many times the value of 4 in 704?
Answers
0, 7, 26, 63, _ , 215.
What is the missing number in the given sequence?
What is the pattern?
Answers
1^3 - 1 = 0
2^3 - 1 = 7
3^3 - 1 = 26
4^3 - 1 = 63
5^3 - 1 = 124 <== ur missing number
6^3 - 1 = 215
Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many
Answers
Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.
By calculation, the length of the 3rd side is calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
Ali needs 4/10 yard of red ribbon and 5/10 yard of blue ribbon to make a tail for her kite. how much ribbon does Ali need in all?
Answers
Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answers
4x+1y = 45 {Second Equation}
subtract x+y=27 from 4x+1y=45 if doing elimination.
(You could do it by either elimination or substitution to get )-----
x=6 that is the number of vanilla wafers.
and y =21 that is the number of Chocolate wafers.
If you need further help, please let me know.....
Vanilla wafers cost $4 per packet
and chocolate wafers for $1 per packet
They spent a total of $45 .
This means that the equation that can be formed using this information is:
4x+y=45
and they buy a total of 27 packets of wafers.
i.e. the equation formed with the help of this information is:
x+y=27
PART A:
The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:
4x+y=45-------------------(1)
and x+y=27----------------(2)
PART B:
We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.
Using equation (2) we have:
y=27-x-------------------(3)
On putting this value of y in equation (1) we have:
4x+27-x=45
i.e.
4x-x+27=45
i.e.
3x+27=45
i.e.
3x=45-27
i.e.
3x=18
i.e.
x=6
and on putting the value of x in equation (3) we have:
y=27-6
i.e. y=21
Hence, number of vanilla wafers purchased = 6
and number of chocolates wafers purchased = 21
Paul has grades of 63 and 81 on his first two tests. What must he score on his third test in order to have an average of at least 70
Answers
60+81+s≥210 combine like terms on left side
141+s≥210 subtract 141 from both sides
s≥69
So Paul will have to score 69 or more on his next test in order to have an average of at least 70.
Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's age (p) and Winnie's age (w):
p = w + 2
p = 7w − 16
Which is a possible correct method to find Peter's and Winnie's ages?
Solve w + 2 = 7w − 16 to find the value of w.
Solve p + 2 = 7p − 16 to find the value of p.
Write the points where the graphs of the equations intersect the x axis.
Write the points where the graphs of the equations intersect the y axis.
Answers
w+2 = 7w-16. from there we can see that w = 3
So basically, the first answer.
the slopes of two lines are 5/6 and 2/p determine the value of p that will make the lines parallel
Answers
so 5/6 = 2/p
so p =2.4
draw a diagram of eli's walking pattern
Answers
|
|
|
|
|
|
|
v----------------------------->
---------------<
He travelled down 12 feet towards the door, out of the door towards the yard in 32 feet, and back towards the house in 14 ft.
b. He walked a total of 12 + 32 + 14 = 58 ft
c.
32 - 14 = 18 ft
He is 18 ft from the house (door)
ONLY THE CORRECT ANSWERS PLEASE!!!!
Which term best represents the intersection of two pages of an open book?
A. line
B. angle
C. plane
D. point
Answers
someone help me plz.
Answers
How do i solve this equation: 4/5a + 3 = 1/3a - 8
Answers
[tex] \frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a [/tex]
Which [tex]gives [/tex] us: [tex] \frac{7}{15}a + 3 = -8 [/tex]
[tex]Now, [/tex] that we got these [tex]steps[/tex] out of the way, let's [tex]subtract [/tex] [tex]3[/tex] from the sides you're working with!
[tex] \frac{7}{15}a + 3 - 3 \\ = -8 -3 [/tex]
[tex] \frac{7}{15}(a) = -11[/tex]
We have gotten these [tex]steps [/tex] out of the way now lets [tex]multiply [/tex] by [tex] \frac{15}{7} [/tex] on your [tex]sides[/tex] because, it is the [tex]reciprocal [/tex] of [tex] \frac{7}{15} [/tex]
So, [tex] \frac{15}{7}( \frac{7}{15}a ) = \frac{15}{7} (-11)[/tex]
Cancel out: [tex] \frac{15}{7}( \frac{7}{15} )[/tex] because, it equals to:[tex]1[/tex]
[tex] \frac{15}{7}(-11) = \frac{-165}{7} [/tex]
Therefore, your [tex]answer [/tex] is: [tex] \frac{-165}{7} [/tex] [tex]aka[/tex] [tex] 23\frac{4}{7} [/tex]
Good luck on your assignment and enjoy your day
~[tex]MeIsKaitlyn:)[/tex]
1. Solve -2n + 5 > 7.
2. Kia experimental probability of striking out at baseball is 13%. Out of 30 times at bat about how many times will she strike out?
Answers
Subtract 5 from both sides
-2n > 2
Divide both sides by -2
n < -1 (change inequality sign when dividing by a negative)
2. 13% of 30 =
.13 * 30 = 3.9
Approximately 4 times
Which set of side lengths forms a right triangle??
Answers
2^2 + 3^2 ??=?? 13^2
4 + 9 ??=?? 169
13 ??=?? 169 FALSE
4^2 + 6^2 ??=??10^2
16 + 36 ??=?? 100
52 ??=?? 100 FALSE
9^2 + 12^2 ??=?? 18^2
81 + 144 ??=?? 324
225 ??=?? 324 FALSE
15^2 + 36^2 ??=?? 39^2
225 + 1296 ??=?? 1521
1521 ??=?? 1521 TRUE 15, 36, 39
One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?
F. 9 in
G. 10 in
H. 11 in
J. 15 in
K. 17 in
Answers
If one side = 8 in and other two sides are equal to a positive whole number, then the smallest possible sum of the other two sides = 9 in ⇒
Smallest possible perimeter = 8 + 9 = 17 in
How does ray ab and ac form both a line and angle
Answers
A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighbour has a vineyard measuring 20 acres and needs his harvest finished in 5 days. Assuming all people work at the same rate, how many people should he hire?
Please show working out.
Answers
In the first vineyard, it needs 25 people working for 9 days to finish 30 acres of vineyard. Using this information you can determine the worker speed. The number of worker and days were given will increase the speed, but the area of the vineyard will decrease it. The calculation would be:
Worker speed= worker number * times given / vineyard area
Worker speed= 25 people * 9 days / 30 acres = 7.5 people days /acres
Applying the same calculation into the second vineyard would be:
Worker speed= worker number * times given / vineyard area
7.5 people days /acres = worker number * 5 days / 20 acres
Worker number= (7.5 people days /acres ) / 5 days x 20 acres= 30 people
Write y less than 21
Answers
"y less than..." means the y variable is less than something. "... 12" Which is 12.
In mathematics we use the < symbol to indicate "less than"
So, y < 12 is the answer.
Answer:
21-y
Step-by-step explanation:
In mathematics the signs used for more than is + and for less than is -.
The question is asking us to write y less than 21 in mathematical statement form.
y less than 21 means 21-y,
Hence the mathematical statement for y less than 21 is 21-y.
A social networking site recorded that 80% of the people who became members of the site one month were between 30 and 40 years old. The equation below represents this information, where x represents the total number of people who became members of the site that month: x = 0.8x + 72 How many people who became members of the site that month were between 30 and 40 years of age?
Answers
x = 0.8x + 72
when x is alone you can say it is 1x
Subtract 0.8x from both sides:
0.2x = 72
x = 72/0.2
x = 360
To solve the equation x = 0.8x + 72, subtract 0.8x from both sides and then divide by 0.2 to solve for x. The result is 360.
Explanation:To solve the equation x = 0.8x + 72, we need to isolate the variable x on one side of the equation. First, subtract 0.8x from both sides: x - 0.8x = 0.8x + 72 - 0.8x. Simplifying this gives 0.2x = 72. Then, divide both sides by 0.2 to solve for x: x = 72 ÷ 0.2 = 360. Therefore, 360 people who became members of the site that month were between 30 and 40 years of age.
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What are the solutions to the equation (2x-5)(3x-1)=0?
Answers
2x-5 = 0 or 3x-1= 0
2x = 5 3x = 1
x = 5/2 x = 1/3
Answer: x=5/2; x=1/3
The answer is C. x = [tex]\frac{5}{2}[/tex] 0r x = [tex]\frac{1}{3}[/tex]
Select all of the following expressions that are equivalent to ab - 2 = c
a = c/b -2
b = c + 2/a
ab = c + 2
a - c/2 = b
b - 2/c = a
a = c + 2/b
Answers
Answer:
Option C.
Step-by-step explanation:
The given expression is ab - 2 = c
Option a : a = [tex]\frac{c}{b}[/tex] - 2
ab = c - 2b
Not equivalent to the original expression.
Option b : b = c + [tex]\frac{2}{a}[/tex]
ab = ac + 2 ⇒ [tex](\frac{ab-2}{a})[/tex] = c
Not equivalent
Option c : ab = c + 2
ab - 2 = c
Equivalent to original expression
Option d : a - [tex]\frac{c}{2}[/tex] = b
2a - c = 2b
Not equivalent
Option e : b - [tex]\frac{2}{c}[/tex] = a
bc - 2 = ac ⇒ c (b-a) = 2 ⇒ c = [tex]\frac{2}{b-a}[/tex]
Not equivalent
Option f : a = c + [tex]\frac{2}{b}[/tex]
ab = bc + 2
[tex](\frac{ab-2}{b} )[/tex] = c
Not equivalent
What is the constant of variation for the quadratic variation? 6y = 4x2
Answers
if the area of a square is 529 in 2 , what is the length of a side of the square
Answers
Which statement best compares the rate of change of the two functions?
Answers
The rate of change of a function is reflected in the steepness of its graph. A function with a higher rate of change will have a steeper line. The correct comparison statement will depend on the specific slopes of Line A and Line B.
Explanation:In the context of this question, the rate of change refers to the steepness of the lines or the slopes of the functions represented by the lines. When comparing the rates of change of two functions, you look at how steep or flat each line is.
Let's consider the statements given:
Line A is a decreasing line while line B is an increasing line, with line B being much steeper than line A.Line A is a decreasing line while line B is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line B being much steeper than line A.To determine the best statement, analyze the steepness of the lines. For example, if Line A is decreasing and much steeper than Line B, then it would have a larger (but negative) rate of change.
Remember, the
rate of change
in a function can be understood as the rate at which the y-values are changing for each increment in the x-values. A higher rate of change means the function is increasing or decreasing more quickly.
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The correct answer to the question *interquartile range
Answers
You find this by subtracting the values of Q3 and Q1
Q3 is the right most edge of the box which is 45
Q1 is the left most edge of the box which is 25
IQR = Q3 - Q1 = 45 - 25 = 20
Side Note: The median is not 45. The median is actually 40 since this is the middle line of the box, which is in between 35 and 45
8x-2y-5=11 write the equation in function form
Answers
In function form it all has to be on one side
Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99. What is the percent increase in the cost due to the fee?
A.6%
B.7%
C.8%
D.9%
Answers
Answer:
A.6%
B.7%
C.8%
D.9%