The expression that represents the distance is [tex]|-2\dfrac{1}{5}-4.35|[/tex]
How to determine the expression?The points are given as:
4.35 and [tex]-2\dfrac{1}{5}[/tex]
The distance between points a and b is calculated using the following absolute value expression
Distance = |b - a|
This means that:
[tex]Distance = |-2\dfrac{1}{5}-4.35|[/tex]
Hence, the expression that represents the distance is [tex]|-2\dfrac{1}{5}-4.35|[/tex]
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Complete questionWhich of the following expressions represents the distance between 4.35 and -2 1/5 on a number line?
A: | -2 1/5-4.35|
B: | 4.35+(-2 1/5)|
C: None of the above.
Consider the triangle. Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c. Find the length of the hypotenuse, c. The length of the hypotenuse is cm.
Answer: The length of the hypotenuse is 26 cm
Step-by-step explanation: Please refer to the attached diagram
The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.
Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that
AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides
In this question the hypotenuse is AB, so we now have;
AB² = AC² + CB²
AB² 24² + 10²
AB² = 576 + 100
AB² = 676
Add the square root sign to both sides of the equation
√AB² = √676
AB = 26
Therefore the length of the hypotenuse is 26 cm
Answer:
26 cm is the answer
Step-by-step explanation:
i got the question right
Factor the expression completely.
20x-16
Answer:
4(5x-4)
Step-by-step explanation:
4 is the common factor of 20 and 16 so it will stay outside the bracket. The left out is 5, x and 4. this forms the expression above.
The ratio of bananas to apples was 2 to 3. If there where 18 bananas how many apples where there
Answer:
There were 27 apples.
Step-by-step explanation:
Set a ratio of bananas to apples like this:
bananas/apples = 2/3
Now you have 18 bananas. The number of apples is unknown, so use "a" for the number of apples.
bananas/apples = 18/a
The two ratios above are equal, so set them equal. That creates a proportion.
2/3 = 18/a
Now we solve for a by cross multiplying.
2a = 3 * 18
2a = 54
a = 27
Answer: There were 27 apples.
A catapult is designed to launch circus performers from a raised platform. After launch, the height of the performer in feet is given by h left parenthesis t right parenthesis equals minus 16 t squared plus 80 t plus 32 where t is seconds after launch. After how many seconds is the performer exactly 100 feet above the ground? Round to the nearest tenth of a second.
Answer:
t = 1.1 sec for first time and then in
t = 3.9 sec
Step-by-step explanation:
The function for the height of the circus performers is:
[tex]h(t) = -16t^{2} +80t +32[/tex]
where t is seconds after launch
h is height in feet
For calculating after how many seconds is the performer at 100 feet above the ground, we must equal the equation to 100 and to find t:
Then,
[tex]100 = -16t^{2} +80t+32[/tex]
[tex]0 = -16t^{2}+80t -68[/tex]
[tex]t = \frac{-80\ \pm \\\sqrt{80^{2}-4(-16)(-68) } }{2(-16)}[/tex]
t = 3.9 sec
t = 1.1 sec
Which is a correct classification for the triangle?
equiangular triangle
acute triangle
right triangle
obtuse triangle
Answer:
acute
Step-by-step explanation:
The path of a rotating fan has a diameter of about 18 inches and a circumference of about 56 inches. The path of a smaller model of the fan has a circumference of about 9 inches. What is the diameter of the rotating path of the smaller model? Round the nearest tenth.
Step-by-step explanation:
Proportionately the smaller diameter
18×9=162
162/56=2.89 inches
round it so it's approx 3 inches
Simplify the expression
6x^2+20/4
Answer:
6x2+5
Step-by-step explanation:
Wut is circumference
The length of the outer edge of a circle
Answer:
Circumference is the distance around the outside of a circle
Step-by-step explanation:
A motorcycle travels 230 miles on 4 gallons of gasoline.
How far can the motorcycle travel on 5.5 gallons?
Answer:
50 miles per gallon
Explanation:
225 miles divided by 4.5 gallons will give the miles per gallon.
225
4.5
=
50
miles per gallon
Step-by-step explanation:
Answer: i think its 316.25
Step-by-step explanation: i divided 230 and 4 which gives you 57.5 then i multiplied that with 5.5 and i got 316.25
While mining, Joan found a large metal bar that weighted 40 grams. Joan was able to determine that the bar contained 35% zinc. How many grams of zinc are in the metal bar? Round you answer to the nearest whole number if necessary.
Answer:
14g zinc
Step-by-step explanation:
To get the mass of zinc in the metal bar, you can multiply the percentage of zinc by the total mass.
40g x .35 = 14g zinc
The metal bar contains 14 g zinc in the 40 grams metal bar.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: A metal bar weighs 40 grams and it contains zinc equivalent to 35%
Let the weight of the zinc contained in the metal be x
Then we have x=35/100×40
=14 grams
Hence, The metal bar contains 14 g zinc in the 40 grams metal bar.
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Ronda's car is valued at $24,000, and she owes $22,000 on it. What is her
current equity?
O
A. $46,000
O
B. $2000
O
C. $4000
O
D. $24,000
Answer:
b. $2000
Step-by-step explanation:
yo just need to take away the smaller from the bigger number..
Answer:
Answer B:$2000
Is her current equity
Which equation is the inverse of y = x2 – 36?
O y=+√x+6
y=1\x+36
2 y=+ X + 36
y=+Vx2+36
Answer:
y=1\x+36
Step-by-step explanation:
To make dough, Reba needs 2 1/2 cups of flour. How much flour does she need to make 5 batches of dough?
Answer:
12 1/2 cups of flour
Step-by-step explanation:
2 1/2 cups for each batch
5 batches
2 1 /2 x 5 =
12 1 /2
Solve.
The cost of having a package delivered by Quick Bicycle
Delivery is a function of the weight of the package. The
graph of this function is shown
What does the slope
represent in the
function?
Cost of Delivery
25
Weight (lb)
Tell whether each statement is True or False.
a. When the weight is greater
than 15 pounds, the cost
will be greater than $10.
b. An equation that represents
this graph is y * +0.6.
c. The slope is 1
d. The cost of delivery decreases
by $0.60 for each pound the
weight decreases
o True
True
True
I False
False
False
True
False
Answer:
Step-by-step explanation:
true
true
false
true
true
false
true
false
What is the answer for -2/5(n + 3) = 10?
Answer: n=-28
Step-by-step explanation:
Answer:
-28
Step-by-step explanation:
1) distribute "-2/5" to each term inside the parentheses:
-2/5(n+3)=10
-2/5n+-6/5=10
add "6/5" on both sides
-2/5n-6/5+6/5=10+6/5
-2/5n=50/5+6/5
-2/5n=56/5
divide both sides by "-2/5"
n=-28
hope this helps
What number is ten times greater than 0.3
Answer: 3
Step-by-step explanation:
The number ten times greater than 0.3 will be 0.3 in ten places
= 0.3 x 10
=3
I hope this helps.
Answer:
The number is 3
Step-by-step explanation:
Step 1: Convert words into an expression
What number is ten times greater than 0.3
n = 10 * 0.3
Step 2: Multiply
n = 10 * 0.3
n = 3
Answer: The number is 3
The New York Times newspaper publishes one issue each day during the
year. What is the Order of Magnitude for the number of issues of the New
York Times published each year?
Answer:
The Order of Magnitude for the number of issues of the New York Times published each year is 2.
Step-by-step explanation:
Given that the newspaper publishes one issue each day and the year has 365 days, then it publishes 365 issues each year.
365 can be rewritten, with scientific notation, as: 3.65*10^2, which means it has 2 orders of magnitude (it is indicated in the exponent).
What is the answer?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the 15th term in the sequence using the given formula?
yn = 12n-1
Answer:
Step-by-step explanation:
hello :
yn = 12n-1
the 15th term is :y15 when x= 15
y15 = 12(15)-1
y15 = 179
Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph. How many hours was it before Penny was 5 miles ahead of Darla?
Answer:
The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.
Step-by-step explanation:
Given : Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph.
To find : How many hours was it before Penny was 5 miles ahead of Darla?
Solution :
The formula used - [tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
Darla traveled at a speed of 65 mph.
Penny drive at 70 mph.
Let x be the number of hours taken by both.
Distance covered by Darla is [tex]d_1= 65\times x=65x[/tex]
Distance covered by Penny is [tex]d_2= 70\times x=70x[/tex]
According to given statement; Penny was 5 miles ahead of Darla
i.e. [tex]d_2-d_1=5[/tex]
[tex]70x-65x=5[/tex]
[tex]5x=5[/tex]
[tex]x=\frac{5}{5}[/tex]
[tex]x=1[/tex]
The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.
An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?
Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
Step 1: Make an equation
An automobile factory, 1849 parts are made in 4 hours.
1849 / 4 = x
Step 2: Solve
1849 / 4 = x
462.25 = x
Answer: There are 462.25 parts being made per hour
To find the hourly rate the parts are made, just divide.
1,849 / 4 = 462.25 parts made per hour.
Best of Luck!
Select the most SPECIFIC name for this shape
O Square
O Rhombus
O
Rectangle
O Parallelogram
True or false? Explain.
If f = {(1, 1), (2, 4), (3, 9)}, then f(5)=25
the answer is false (online system) but i dont know why
pls help stuck on HW
What is the answer for -12+x/11=-3
Answer:
x = 99
Step-by-step explanation:
Step 1: Solve for x
-12 + x/11 + 12 = -3 + 12
x/11 * 11 = 9 * 11
x = 99
Answer: x = 99
If y
per
wha
If you roll a number
cube 50 times, how
many times do you
expect to roll a
number less than 3?
seci
Answer:
8.333
Step-by-step explanation:
50 (times)/ 6 (amount of numbers possible on cube)
Add: 43 + ( -13)
Will mark show work if correct
The answer to this problem is 30.
Step-by-step explanation:
43+-13
=30
Check: 43-13 also =30.
So the answer to this equals 30.
includes the points (-6 , n) and (-8, -9) has a slope of 4 what is the value of n?
Step-by-step explanation:
[tex]slope \: = \frac{n - ( - 9)}{ - 6 - ( - 8)} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ - 6 + 8} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ 2} \\ \\ \therefore \: 4 \times 2= n + 9 \\ \\ \therefore 8= n + 9 \\ \\ \therefore \: n = 8 - 9 \\ \\ \huge \red{ \boxed{\therefore \: n = - 1}}[/tex]
8. A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic
yards sold in a single order for concrete from this company, is shown in the table below.
|
X = the number of cubic yards
Probability
10
10.15
15
0.25
20
0.25
25
0.30
30
0.05
The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There
is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by
Y = 75X - 100. What is the standard deviation of Y?
(A) $332.00
(B) $432.00
(C) $532.00
(D) $1,343.75
(E) $1,400.00
Answer:
$432
Step-by-step explanation:
75(5.76)=432
The standard deviation of Y is $432 and this can be determined by using the formula of standard deviation and the given data.
Given :
A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic yards sold in a single order for concrete from this company, is shown in the table below.The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by (Y = 75X - 100).The formula to obtain the standard deviation is given below:
SD(Y) = SD(75X - 100)
Simplify the above expression by substituting the value of SD(X) and SD(100) in the above expression.
SD(Y) = 75SD(X) - SD(100)
SD(Y) = 75 SD(X) - 0
SD(Y) = 75 [tex]\times[/tex] 5.76
SD(Y) = $432
Therefore, the correct option is B).
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What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?
Answer:
x=3
Step-by-step explanation:
1. cross multiply to get
5(4x+2)= 35(x-1)
2. distribute
20x+10=35x-35
3. combine like terms
45=15x
4. divide :)
3=x
Answer:
x = 3
Step-by-step explanation:
(x - 1)/5 = (4x + 2)/35
to find the value of x
the first thing to do is to cross multiply
from this ,
(x-1)/5 = (4x + 2)/ 35
35(x-1) = 5( 4x + 2)
35x - 35 = 20x + 10
we are going to collect the like terms
35x -20x = 10 + 35
15x = 45
we are going to divide both sides by the coefficient of x which is 15
we have,
15x/15 = 45/15
x = 3
therefore the value of x = 3
to check if your answer is correct, put the value of x and slot it into one of the equations.
35x - 35 = 20x + 10
35(3) - 35 = 20(3) + 10
105 - 35 = 60 + 10
70 = 70........................ proved.
sandy has 56cents. she bought candy for 25cents how much money does she have left
Answer:
31 cents left
Step-by-step explanation:
56-25=31