Answer:
3 dollars 90 cents
Step-by-step explanation:
20 - 11.70 = 8.30
8.30 - 4.40 = 3.90
if 2/5 of pizza costs $1.00 how much will the whole pizza cost
Answer:
2/5
Step-by-step explanation:
a geometric tolerance that can be measured with a dial indicator to determine the variation of surface points as the part is rotated about a datum axis is .
The geometric tolerance that can be measured with a dial indicator to determine the variation of surface points as the part is rotated about a datum axis is circular runout.
Circular runout is a type of circularity control that defines a tolerance zone in which an object's surface can rotate around a datum axis. When the object is turned about the axis, the height variation between the surface and the axis must remain within the tolerance zone defined by circular runout.
In the case of a circular feature, the circular runout tolerance specifies the amount of circular deviation from the circular form that is allowable. Circular runout is used to control part wobble or out-of-roundness while a shaft or disk rotates about an axis.
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Seventh grade
G.2 Add and subtract fractions: word problems ENL
Tutorial
a
A tailor cut 7/8 of an inch off a skirt and 1/2 of an inch off a pair of pants. How much more
did the tailor cut off the skirt than the pants?
Write your answer as a fraction or as a whole or mixed number.
inches
01
1
Submit
HR
Sm
out
4
C
n
Answer:0.4375
Step-by-step explanation:
To solve the problem, we start by labeling 1/2 of 7/8 like this:
N1/D1 of N2/D2
Then we use this fraction of a fraction formula to solve the problem:
(N1 x N2) / (D1 x D2)
When we enter 1/2 of 7/8 into the formula, we get:
(1 x 7) / (2 x 8) = 7/16
Therefore, the answer to 1/2 of 7/8 in its lowest form is:
1/2 of 7/8 = 7/16
9 and 12 are relatively prime.
True or false
Answer:
False.
Step-by-step explanation:
Because 12 and 9 are both multiples of 3.
Can someone help me pls?
Danny has 2 1/2 pounds of coffee grounds which show how many Danny could use the coffee grounds over three days
The correct expressions are;
B). 2/2 + 2/2 + 1/2 = 2.5
D). 1 1/2 + 1/2 + 1/2 = 2.5
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Danny has 2 1/2 pounds of coffee grounds.
2 1/2 = 2.5
The choices are given in the image.
A). 3/2 + 2/2 + 1/2 = 6/2 = 3 ≠ 2.5.
B). 2/2 + 2/2 + 1/2 = 2.5
C). 1 + 1 + 1/2 + 1/2
But this shows the situation for four days,
So, this option is discarded.
D). 1 1/2 + 1/2 + 1/2 = 2.5
Therefore, B and D are the correct options.
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In some situations, loss-of-significance errors can be avoided by rearranging the function being evaluated, as was done with f(x) in (2.23). Do something similar for the following cases, in some cases using trigonometric identities. In all but case (b), assume x is near 0. (a) 1-cos(x)/x^2 (b) log(x + 1) - log(x), x large (c) sin(a + x) - sin(a) (d) √(1+x-1) (e) √(4+x-2) / x
The following can be answered by the concept of Trigonometry.
The rearranged functions for each case, using appropriate mathematical techniques and identities:
(a) For 1 - cos(x) / x², we can use the identity sin²(x) + cos²(x) = 1 and rearrange as follows:
1 - cos(x) = sin²(x) / (1 + cos(x))
Then, divide by x² to get the rearranged function:
(sin²(x) / (1 + cos(x))) / x²
(b) For log(x + 1) - log(x) with x being large, we can use the logarithmic property of subtraction to combine the logs:
log((x + 1) / x)
As x is large, the expression simplifies to:
log(1 + (1/x))
(c) For sin(a + x) - sin(a), we can use the angle sum identity for sine:
sin(a + x) - sin(a) = (sin(a)cos(x) + cos(a)sin(x)) - sin(a)
Rearrange to get:
cos(a)sin(x) + sin(a)(cos(x) - 1)
(d) For √(1 + x - 1), we can simplify by removing the 1 and -1 inside the square root:
√(x)
(e) For √(4 + x - 2) / x, we can first simplify inside the square root:
√(2 + x) / x
These rearranged functions help avoid loss-of-significance errors in each of the given cases.
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a gate has a standard key pad with the digits 0 through 9. how many possible code combinations are there if the code is 4 digits long.
There are 10,000 possible code combinations for a 4-digit code on a standard keypad with digits 0 through 9.
To calculate the number of possible code combinations for a 4-digit code on a standard keypad with digits 0 through 9, we need to use the fundamental counting principle.
The fundamental counting principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together. This principle can be extended to any number of tasks.
For a 4-digit code, each digit can be chosen independently from the other digits, and there are 10 possible digits to choose from (0-9). Therefore, using the fundamental counting principle, we can calculate the number of possible code combinations as follows:
Number of possible code combinations = number of choices for the first digit x number of choices for the second digit x number of choices for the third digit x number of choices for the fourth digit
Number of possible code combinations = 10 x 10 x 10 x 10 = 10,000
This means that the chances of guessing the correct code by random chance are 1 in 10,000.
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The plane traveled 50 miles per hour. What is the distance the plane traveled in 4 hours? plz help asap due in 2 minutes
Answer:
200 miles in 4 hours hope this helps and u get it in on time
HAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA HELP
Answer:
7.5 in
Step-by-step explanation:
LOL the answer is right there in the pink circle!
the diameter of a circle is measured in a straight line from one end of the circle to the other side (or basically : 2×radius)
What do you do to find the power of a power?
A.
Add the exponents.
B.
Subtract the exponents.
C.
Divide the exponents.
D.
Multiply the exponents.
Answer:
C.
Step-by-step explanation:
Calculate it in the way of Divide
How do I calculate the volume of this prism?
The problem wants me to find x. I have attached a photo of the problem.
Solution
First we will label the triangle
In triangle ACD , we will use pythagoras theorem
\(\begin{gathered} (hyp)^2=(opp)^2+(adj)^2 \\ x^2=4^2+y^2 \\ x^2=16+y^2 \end{gathered}\)In triangle ACB, Using pythagoras theorem
\(\begin{gathered} (9+4)^2=x^2+z^2 \\ 13^2=x^2+z^2 \\ 169=x^2+z^2 \end{gathered}\)In triangle ABD , we will also use pythagoras theorem
\(\begin{gathered} z^2=y^2+9^2 \\ z^2=y^2+81 \end{gathered}\)Now we have three equations
Let us find a replacement for y^2 in the first equation
From equ(3),
\(z^2-81=y^2\)\(\begin{gathered} x^2=16+y^2 \\ x^2=16+z^2-81 \\ x^2=z^2-65 \end{gathered}\)Now we will find a replacement for z^2 in the new equation
We will recall that
\(\begin{gathered} 169=x^2+z^2 \\ 169-x^2=z^2 \\ z^2=169-x^2 \end{gathered}\)We will substitute for z^2 in x^2=z^2 - 65
\(\begin{gathered} x^2=z^2-65 \\ x^2=169-x^2-65 \\ x^2+x^2=104 \\ 2x^2=104 \\ x^2=\frac{104}{2} \\ \\ x^2=52 \\ x=\sqrt{52} \\ \\ x=2\sqrt{13} \end{gathered}\)
What is the surface area of the cylinder?
180pi ft2
192pi ft2
252pi ft2
396pi ft2
\(\sf \longrightarrow \: \:Surface \: area \: of \: cylinder \: = \: 2\pi \: r \: h \: + \: 2\pi \: {r}^{2} \)
r represents radius of cylinderh represents height of cylinder\(\sf \longrightarrow \: \: r \: = \: \frac{Diameter}{2} \\ \)
\(\sf \longrightarrow \: \: r \: = \: \frac{12}{2} \\ \)
\(\sf \longrightarrow \: \: r \: = \: \cancel\frac{12}{2} \: \: ^{6} \\ \)
\(\sf \longrightarrow \: \: r \: = \:6 \: ft\)
\(\sf \longrightarrow \: \: h \: = \: 15 \: ft\)
Now , Substuting the values\(\sf \implies \: \:2 \: \times \: \pi \times \: 6 \: \times \: 15 \: \: + \: \: 2 \: \times \: \pi \times \: {6}^{2} \)
\(\sf \implies \: \:2 \: \times \: \pi \times \: 90 \: \: + \: \: 2 \: \times \: \pi \times \: 36\)
\(\sf \implies \: \:180 \: \pi \: + \: \: 72 \: \pi\)
\(\sf \implies \: \:252 \: \pi\)
Hence, the surface area of cylinder is 252 π ft²
C. what does it mean when an element is written inside a circle? at the intersection of two circles? outside the circles
D. do the elements written at the intersection of both circles from a subset of the two sets? Why?
Answer:
c ) it either shows diameter or radius
d) I am not sure
C. When elements are represented in a Venn diagram (using circles), the placement of elements inside or outside the circles indicates their relationship to the sets being represented.
D. Yes, the elements written at the intersection of both circles form a subset of the two sets.
C. Place an element inside a circle to indicate that it is a member of the set indicated by the circle.
An element that is positioned at the intersection of two circles denotes an element that is a part of both sets that are symbolized by those circles.
Outside the circles: In a Venn diagram, an element that is positioned outside every circle does not belong to any of the sets being represented.
D. This is so because these components are a part of the intersection of the two sets and as such, they are a part of both sets. In set theory, all of the components that are shared by two sets are contained in their intersection. Due to their simultaneous membership in both sets, the elements at the intersection are a subset of both sets.
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8(3f-6)<-24 solve each inequality.
Answer:
f < 1
Step-by-step explanation:
8(3f−6)<−24
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
3f−6< \(\frac{-24}{8}\)
Divide −24 by 8 to get −3.
3f−6<−3
Add 6 to both sides.
3f<−3+6
Add −3 and 6 to get 3.
3f<3
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
\(f<\frac{3}{3}\)
Divide 3 by 3 to get 1.
f < 1
Solution:
Note that:
Given inequality: 8(3f - 6) < -24Simplify the inequality to obtain the inequality for f.
8(3f - 6) < -24=> (24f - 48) < -24=> 24f - 48 < -24=> 24f < -24 + 48=> 24f < 24=> f < 1The simplified inequality is f < 1.
The first term of a geometric series is 1 and the common ratio is 9. What is the 8th term of the sequence?
Angle relationships with parallel lines
Answer:
Step-by-step explanation:
x=53 degree(the relation between x and 53 degree is that they are alternate exterior angles)
In 2015, around ____ percent of the world’s population had an internet connections.
A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $10.50, and tickets cost $32.50 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.
Answer:
x=4.6 answer is at most 4 people can go
Step-by-step explanation:
32.50x+10.50=160.00
- 10.50 -10.50
149.50
32.50x = 149.50
Divide 32.50 and 149.50 to find x.
x = 4.6 round down because you cant have a fraction of a person. so 4 people can go.
I’m am so lost right now
You pull sideways on a 50 kg crate with a force of 450 n. There is also a 250 n frictional force on the box. What is the acceleration of the box?.
The acceleration of the box is 4m/s².
Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time. The change in the velocity of an object could be an increase or decrease in speed or a change in the direction of motion.
We know the frictional force f=μN where N=normal force = mg
Given that,
Frictional force μ = 250N
Hence F(net)= F(app)- f = 450 - 250 = 200 N
We know Force(F)=ma
a=200/50 = 4m/s²
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We know the frictional force f=μN where N=normal force = mg
Given that,
Frictional force μ = 250N
Hence F(net)= F(app)- f = 450 - 250 = 200 N
We know Force(F)=ma
a=200/50 = 4m/s²
Find the value of P(10) so that the following is a valid probability distribution. X
5
10
20
30
40
50
P(X)
0. 13
______
0. 11
0. 14
0. 21
0. 3
The value of P(10) is 0.11 to ensure that the given distribution is a valid probability distribution.
To determine the value of P(10) so that the given distribution is valid, we need to ensure that the sum of all the probabilities equals 1.
Given:
X: 5, 10, 20, 30, 40, 50
P(X): 0.13, P(10), 0.11, 0.14, 0.21, 0.3
We know that the sum of the probabilities should be equal to 1.
Sum of probabilities = 0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3
To find the value of P(10), we can set up the equation:
0.13 + P(10) + 0.11 + 0.14 + 0.21 + 0.3 = 1
Simplifying the equation:
P(10) + 0.89 = 1
Subtracting 0.89 from both sides:
P(10) = 1 - 0.89
P(10) = 0.11
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A shopper buys 4 apples costing 60p each and 3 peaches .
They pay with a £5 note and receive 44p change .
Each peach costs same amount .
Work out cost of one peach .
Answer:
Cost of peach is 72 p each.
Step-by-step explanation:
Total amount was 5x100 = 500 p
Amount of apples were ( 4 x 60) = 240 p
Received change = 44p
Total amount for 3 peaches were = 500-240-44 = 216
Cost of 1 peach = \(\frac{216}{3}\)
= 72p
what is 60/2000
helphelphelphelphelp
Answer:
0.03
Step-by-step explanation:
please give me brainliest! :) :) :)
Answer:
The answer is 0.03
Step-by-step explanation:
Connor is 6 feet tall and casts a shadow that is 2.5 feet long. He stands next to a tree that is 25 feet tall. How long is the shadow the tree casts? Round your numerical answer to the nearest whole number.
Answer:
10
Step-by-step explanation:
\(\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10\)
The Tree casts a height of 10.41 feet tall.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Connor is 6 feet tall and casts a shadow that is 2.5 feet long.
He stands next to a tree that is 25 feet tall.
let the shadow of tree is x feet long.
Using proportion
6/ 2.5 = 25/x
6x = 62.5
x= 10.41 feet
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-16=m/5 -18 prove m=10
Answer:
\(-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\\)
Step-by-step explanation:
Given the equation \(-16 = \frac{m}{5} - 18\) isolate \(m\)
1. The first is sum both sides by 18
\(-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}\)
2. The second is multiply both sides by \(5\)
\(5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m\)
So of this way you can proof that \(m = 10\)
If two cowboys leave a ranch at 9:00 am, how far apart will they be at 11:00 am if one travels directly north at 20 mph and the other travels directly west 15 mph?
show work please
\sqrt(x+12)-\sqrt(2x+1)=1
Answer:
\(x=4\)
Step-by-step explanation:
Given \(\displaystyle\\\sqrt{x+12}-\sqrt{2x+1}=1\), start by squaring both sides to work towards isolating \(x\):
\(\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\)
Recall \((a-b)^2=a^2-2ab+b^2\) and \(\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}\):
\(\displaystyle\\\left(\sqrt{x+12}-\sqrt{2x+1}\right)^2=\left(1\right)^2\\\implies x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\)
Isolate the radical:
\(\displaystyle\\x+12-2\sqrt{(x+12)(2x+1)}+2x+1=1\\\implies -2\sqrt{(x+12)(2x+1)}=-3x-12\\\implies \sqrt{(x+12)(2x+1)}=\frac{-3x-12}{-2}\)
Square both sides:
\(\displaystyle\\(x+12)(2x+1)=\left(\frac{-3x-12}{-2}\right)^2\)
Expand using FOIL and \((a+b)^2=a^2+2ab+b^2\):
\(\displaystyle\\2x^2+25x+12=\frac{9}{4}x^2+18x+36\)
Move everything to one side to get a quadratic:
\(\displaystyle-\frac{1}{4}x^2+7x-24=0\)
Solving using the quadratic formula:
A quadratic in \(ax^2+bx+c\) has real solutions \(\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\). In \(\displaystyle-\frac{1}{4}x^2+7x-24\), assign values:
\(\displaystyle \\a=-\frac{1}{4}\\b=7\\c=-24\)
Solving yields:
\(\displaystyle\\x=\frac{-7\pm \sqrt{7^2-4\left(-\frac{1}{4}\right)\left(-24\right)}}{2\left(-\frac{1}{4}\right)}\\\\x=\frac{-7\pm \sqrt{25}}{-\frac{1}{2}}\\\\\begin{cases}x=\frac{-7+5}{-0.5}=\frac{-2}{-0.5}=\boxed{4}\\x=\frac{-7-5}{-0.5}=\frac{-12}{-0.5}=24 \:(\text{Extraneous})\end{cases}\)
Only \(x=4\) works when plugged in the original equation. Therefore, \(x=24\) is extraneous and the only solution is \(\boxed{x=4}\)
If q and r are different numbers, then the equation has(no solution,one solution, or infinitely many solutions)?