Given the fraction below
[tex]\frac{110}{390}[/tex]To simplify the above fraction, we will divide both the numerato
On your own paper, graph the system of equations and identify the solution.=2−4=−12+1
The Slope-Intercept Form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
You have the first line:
[tex]=2x-4[/tex]You can identify that the y-intercept is:
[tex]b_1=-4[/tex]You can find the x-intercept substituting the following value of "y" into the equation of the line:
[tex]y=0[/tex]And, after the substitution, you can solve for "x":
[tex]\begin{gathered} 0=2-4 \\ 4=2x \\ \\ \frac{4}{2}=x \\ \\ x=2 \end{gathered}[/tex]Now you know that the first line passes through these points:
[tex]\begin{gathered} (0,-4) \\ (2,0) \end{gathered}[/tex]Then, you can graph it.
Given the second line:
[tex]y=-\frac{1}{2}x+1[/tex]You can identify that:
[tex]b_2=1[/tex]And you can find the x-intercept by following the same procedure applied for the first line:
[tex]\begin{gathered} 0=-\frac{1}{2}x+1 \\ \\ -1=-\frac{1}{2}x \\ \\ (-1)(2)=-x \\ \\ -2=-x \\ x=2 \end{gathered}[/tex]Then, this line passes through these points:
[tex]\begin{gathered} (0,1) \\ (2,0) \end{gathered}[/tex]Now you can graph it.
See the graph below:
By definition, when the lines intersect, the solution of the System of equations is the point where the two lines intersect.
The answer is: First option.
Help ASAP solve for the value of Z
Answer:
z = 6
Step-by-step explanation:
The angle in the middle is a right angle with a measure of 90°
Together, all three angles, makes a stright angle which is measured 180°.
So we can write the following equation to find the value of z:
5z + 1 + 59 = 90 (we don'thave to include the middle angle since we already its measure)
add like terms
5z + 60 = 90 subtract 60 from both sides
5z = 30 divide both sides by 5
z = 6
Isaac's parents borrow $3600.00 from the bank for new appliances for their kitchen. The simple interest rate is 9% per year. How much interest will they have to pay if it takes them 4 years and 3 months to repay the loan?
The interest that they will they have to pay if it takes them 4 years and 3 months to repay the loan is $1377.
How to illustrate the information?From the information, Isaac's parents borrow $3600.00 from the bank for new appliances for their kitchen and the simple interest rate is 9% per year.
Principal = $3600
Rate = 9%
Time = 4 years 3 months = 4.25
It should be noted that simple interest is calculated as:
= Principal × Rate × Time / 100
= (3600 × 9 × 4.25) / 100
= 137700 / 100
= $1377
Therefore, the interest is $1377.
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plelaleasldle help aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
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A runner has a track lap time of 1 minute while at a run, 4 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/3 at a jog, and 4/15 at a walk, what is the total track lap time of the runner? Write the solution as a mixed number or a fraction in lowest terms.
The track lap time of the runner will be 3 3/5 minutes.
How to illustrate the information?From the information, the runner has a track lap time of 1 minute while at a run, 4 minutes while at a jog, and 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/3 at a jog, and 4/15 at a walk.
The track lap time of the runner will be:
= (2/5 × 1 minute) + (1/3 × 4 minutes) + (4/15 × 7 minutes)
Note that 1 minute = 60 seconds
(2/5 × 1 minute) + (1/3 × 4 minutes) + (4/15 × 7 minutes)
= 24 seconds + 80 seconds + 112 seconds
= 216 seconds
= 3 minutes 36 seconds.
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My little sister decided that she had to have a new Softball so she went to the bank where she holds her money and emptied it out completely in order to get my recent need it for the ball the money was in the form of 45 coins with me your personal little heavy for her to carry and also took a long time for her to come out the money at the store I had to take her and I got bored wedding how many pennies nickels dimes quarters and a half dollars did she have with her
Answer:
you know it's a very good question
Step-by-step explanation:
I have no idea
20% plain M&Ms are orange. Sample of 100 candies randomly selected. Find the man and standard deviation
Answer: μ=20, σ=4.0
Step-by-step explanation:
What does standard deviation measure in a probability distribution?
Answer:
omg what is standard deviation that was on my psat today
The animals at a safari park include gorillas, buffalo and wallabies. There are 24 more buffalo than there are gorillas. There are 7 times as many wallabies as there are gorillas. There are the same number of buffalo as there are wallabies. How many gorillas are there at the safari park?
The number of gorillas at the safari park is 4.
Let the number of gorillas at the safari park be x.
It is given that there are 24 more buffalo than there are gorillas.
Number of buffalo at the safari park = 24 + x
There are 7 times as many wallabies as there are gorillas.
Number of wallabies at the safari park = 7x
Now, the number of buffalo is the same as the number of wallabies.
So, we equate their numbers to find the value of x i.e. number of gorillas.
24 + x = 7x
7x - x = 24
6x = 24
x = 4
Therefore, the number of gorillas at the safari park is 4.
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tia charges a set up fee of 2$ and then 0.75 a square foot to power wash driveways which equation properly displays the amount she charges to power wash a driveway
Step-by-step explanation:
0.75x+2
2 is taken and 0.75 is not optional therfore
0.75=x(per square foot) =0.75x
and
$2 fee is required
so they must pay 2 dollars plus 0.75 everysquare foot
answer:
0.75x+2
$15 per hour is the basic rate at a factory. After a 48-hour basic work week, overtime is paid time and a half.
(a) If no one worked overtime and the factory paid $15 840 in wages one week, how many workers are in the factory?
(b) During another week, a worker in the factory earns $810 in wages for himself. How many hours did he work for?
Answer:
(a) There are 22 workers are available in the factory.
Step-by-step explanation:
(a) Let the number of workers in the factory be x.
Basic rate = $15
Working hours in a week = 48 hours
Total wages in a week = $ 15840
If no overtime is to be paid then according to question,
Amount paid to 1 worker = 48 X 15 = $ 720
Amount paid to x worker = 720x
15840 = 720
x = 15840/720
x = 22
What are all the solutions, both real and nonreal, to 4x3 + 96x = 0?
Answer:
it is 1,152
Step-by-step explanation:
4×3=12×96=1,152
Answer:a
Step-by-step explanation:
The graph shows the temperature of a liquid that is being heated during an experiment. Three of the statements are true. Which is NOT?
The statement that is not true is that at this rate, it would take less than 10 mins for the temperature of the liquid to rise to 52 degrees.
Which statement is not true?We know that in a graph we see the presentation of a data set by the use of the Cartesian coordinates. There is the vertical axis and there is the horizontal axis. The vertical axis is the axis where we have to plot the time while the vertical axis is the axis where we have to plot the temperature as we can see from the image attached to this answer.
The graph as show has to the points which are; (0, 0) and (6.5, 26). Thus we can use the both points to obtain the slope of the graph and this would give us;
m = 26 - 0/ 6.5 - 0
m = 4
This implies that the rate at which the temperature rise with time is 4 degrees centigrade per hour. In a quarter hour, the temperature would rise to;
y = mx
y = 4(15)
y = 60 degrees centigrade.
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Solve for x to the nearest tenth.
Answer:
Step-by-step explanation:
first from the lower triangle, the unknown length is [tex]\sqrt{10^2-4^2} =\sqrt{100-16}=\sqrt{84}[/tex] so then x is equal to [tex]\sqrt{84-4^2}=\sqrt{68}[/tex] or about 8.2
1. Identify 4x + 2(x -6) = 7 as an equation, an expression, or neither A. Expression B. Equation C. Neither
Answer:
Equation
Step-by-step explanation:
Equations require equal signs.
What numbers are between 2/10 and 75% on a number line?
Please help me help help me please help help me
ANSWER
t = 10.27
EXPLANATION
Step 1: Given
[tex]500e^{0.0675t}\text{ = 1000}[/tex]Step 2: Divide both sides by 500
[tex]\begin{gathered} \frac{500e^{0.0675t}}{500}\text{ = }\frac{1000}{500} \\ e^{0.0675t}\text{ = }2 \end{gathered}[/tex]Step 3: Take the natural logarithm of both sides
[tex]\begin{gathered} 0.0675t\text{ = ln 2} \\ 0.0675t\text{ = }0.69314718056 \end{gathered}[/tex]Step 4: Divide both sides by 0.0675
[tex]\begin{gathered} \frac{0.0675t}{0.0675}\text{ = }\frac{0.69314718056}{0.0675} \\ t\text{ = 10.268847} \end{gathered}[/tex]Hence, t = 10.27 (rounded to the nearest hundredth).
A house purchased for $265,100 gains 2% of its value every year. If this growth rate continues, in how many years will the house be worth twice its original value
The price of the house will double the original value in 35 years
How to determine the number of years?The given parameters from the question are
Initial value of the house = $265,100
Rate of gain = 2% of its value every year
An exponential function is represented as
y = a *(1 + r)^x
Where
y represents the current valuea represents the initial valuer represents the growth or decay ratex represents the number of years, in this caseThis means that
a = 265,100
r = 2%
So, we have
y = 265,100 *(1 +2%)^t
When the price doubles, we have
2 * 265,100 = 265,100 *(1 +2%)^t
Divide both sides by 265,100
So, we have
2 = (1 +2%)^t
Evaluate the sum
So, we have
2 = 1.02^t
Take the logarithm of both sides
t * log(1.02) = log(2)
Divide
t = log(2)/log(1.02)
Evaluate
t = 35
Hence, the number of years is 35
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The tutorial doesn't say anything about this and I need help. What is the slope and how do you find it
Answer:
i cannot see the lines very well, but i can tell you how to find slope
Step-by-step explanation:
slope is rise/run. find where the line hits a intersection on the graph, and count the squares across the graph where it hits another intersection. it should not be on the line though, because that is only the run. then count how many squares up it takes till you touch where the line hits another intersection. that is the rise. then divide the rise by the run.
important please help
Answer:
[tex]5 \times 10^4[/tex]
Step-by-step explanation:
Let the number of grains of rice be g.
[tex]\frac{g}{1}=\frac{1}{2 \times 10^{-5}} \\ \\ g=\frac{1}{2} \times 10^5 \\ \\ =5 \times 10^4[/tex]
If jack drives 876 miles to Mexico Tuesday, and 986 miles wens day , what-is the total miles he drove?
The distance travelled by Jack to Mexico on Tuesday is 876 miles.
The distance travelled by Jack to Mexico on Wednesday is 986 miles.
To determine the total miles he drove ,
The sum of the distance travelled by Jack to Mexico on Tuesday and Wednesday.
Let the total miles drove is denoted as T.
[tex]T=876+986[/tex][tex]T=1862\text{ miles.}[/tex]Thus the total miles drove is 1862 miles.
I need help with problems
Given ratio:
[tex]\frac{3}{2}\text{ : }\frac{1}{4}[/tex]Multiply both sides by the L.C.M of their denominator
The L.C.M of 2 and 4 is 4
Hence:
[tex]\begin{gathered} 4\text{ }\times\frac{3}{2}\text{ : 4}\times\frac{1}{4} \\ 6\text{ : 1} \end{gathered}[/tex]Slope intercept form for points through (0,-4) and (2,1)
Answer:
y = (5/2)x - 4
Step-by-step explanation:
(0, -4) and (2, 1)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 1 - (-4) 1 + 4 5
m = ------------- = ------------ = --------- = --------
x₂ - x₁ 2 - 0 2 2
y - y₁ = m(x - x₁)
y - (-4) = (5/2)(x - 0)
y + 4 = (5/2)x - 0
-4 -4
----------------------------
y = (5/2)x - 4
I hope this helps!
Complete the frequency table for the following set of data. =
Given the set of data:
12, 4, 11, 3, 4, 0, 13, 13, 2, 6, 11, 0, 10, 11, 3, 4, 0, 10, 13, 2, 11, 9.
Let's complete the given frequency table using the set of data given.
Frequency can be said to be the number of times a number occurs in a set of data.
hus, we have:
• 0 - 2
ubmbers between 0 - 2 in the data set: 0, 2, 0, 0, 2 ==> 5 times
• 3 - 5
3 - 5: 4, 3, 4, 3, 4, ==> 5 times
• 6 - 8:
6 - 8: 6, ==> 1 time
• 9 - 11:
: 9 - 119, 11, 11, 10, 11, 10, 11, 9 ==> 7 times
• 12 - 14:
12 - 134: 12, 13, 13, 13 =3 ==> 4 times.
Therefore, the complete table is:
Please help I’ll mark you as brainliest if correct!!
(Look at picture) 8th grade pre-algebra math question, super easy!
The true statements about the solutions to this number line include the following:
A. -1 is a solution.
E. -1.5 is a solution.
F. All negative numbers are solutions.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
This ultimately implies that, a number line can be used to determine the difference between two numbers such as 23 and 12. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
In conclusion, we can reasonably infer and logically deduce that an inequality which represent the solutions to this number line in interval notation is given by: -1 ≤ x ≤ ∞.
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Josh's mom gave him money to spend at an
amusement park. So far, he's used 3/10 of the
money on games and 1/4 of the money on rides.
What fraction of the money does he have left?
Give your answer as a fraction in simplest form.
Answer:
9/20
Step-by-step explanation:
3/10 + 1/4
find a common denominator, which is 20 here
6/20 + 5/20 = 11/20 he used
left over is 9/20
find the area under the standard normal curve between z=0 and z=3
The area under the standard normal curve between z=0 and z=3 is 0.4987.
How to illustrate the information?It should be noted that because the normal distribution is symmetrical on both sides of the mean and is a continuous probability distribution, the right side of the center is the opposite of the left side.
The normal distribution was first termed by early statisticians who observed that the same shape repeatedly appeared in many distributions. The characteristics of normal distributions are as follows: Bell-like in its symmetry. The distribution's mean and median, which are both at its center, are equal.
The area will be illustrated as:
P(0 < Z < 3)
From the distribution table. In this case, it's important to look at the normal distribution table under the z score for the values of zero less than Z and Z less than 3. This will be:
= 0.9987 - 0.5
= 0.4987
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need help answering
ieven
raph of the fucnction
ind
quation of the fuctcion
xpolanation
s we see it i s the graph of exponential function.
from graph we find point (0 , 2)
now , we substitute this point to find the equation.
[tex]\begin{gathered} y=0.5^x+1 \\ y=0.5^0+1 \\ y=1+1 \\ y=2 \end{gathered}[/tex]so , this exponential function satisfy the point.
Final Answer
ence , the correct option is 1,.
Divide. Express your answer in scientific notation.
8.1×10^−7
3×10^−3
[tex]\frac{2.4}{10^{4} }[/tex] is the simplest form of scientific notation.
What is notation?In mathematical notation, operations, unnamed numbers, relations, and any other mathematical objects are represented by symbols that are combined into expressions and formulae. Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be expressed as 6.5 108 in scientific notation. A system of symbols for designating unique items. Example: In mathematics, the symbol "∞" stands for "infinity." There are many notations in mathematics.
Given Data
8.1×10^−7
3×10^−3
Dividing
[tex]\frac{8.1(10}{3(10}[/tex]⁷₃
[tex]\frac{8.1}{3}[/tex] × 10⁻⁷⁻⁽⁻³⁾
2.7 × 10⁻⁴
[tex]\frac{2.4}{10^{4} }[/tex]
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