Steve is training for a marathon. He has run the following distances so far this week: 5 miles, 8.5 miles, 3.5 miles and 9 miles. He is going to run one more day this week. If Steve would like to average 7 miles for his training runs this week, how many miles should he run during his last run of the week?
Solve using elimination method
11x + 9y = -5
7x + 5y = -1
Answer: (2,-3)
Step-by-step explanation:
To solve by elimination method, we need to choose which variable to eliminate. Let's eliminate y. We need to make sure that the y coefficients in both equations are equal. To do that, you multiply the first equation by 5 and the second by 9.
(11x + 9y = -5)5 [multiply entire equation by 5]
(7x + 5y = -1)9 [multiply entire equation by 9]
--------------------------------------------------------------------------------------------------------
55x+45y=-25
63x+45y=-9
Now that the y are both the same, we can eliminate y by subtracting both equations and solve.
-8x=-16 [divide both sides by -8]
x=2
Now that we have x=2, we can plug that in to any equation to find y.
7(2)+5y=-1 [multiply]
14+5y=-1 [subtract both sides by 14]
5y=-15 [divide both sides by 5]
y=-3
With the y-value, we know that the answer is (2,-3).
can you solve this pls 5(x – 4) + 3x – 9x = 6 – (2x + 5) + 8x
show step by step pls
Answer: x= -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−4)+3x−9x=6−(2x+5)+8x
(5)(x)+(5)(−4)+3x+−9x=6+−2x+−5+8x(Distribute)
5x+−20+3x+−9x=6+−2x+−5+8x
(5x+3x+−9x)+(−20)=(−2x+8x)+(6+−5)(Combine Like Terms)
−x+−20=6x+1
−x−20=6x+1
Step 2: Subtract 6x from both sides.
−x−20−6x=6x+1−6x
−7x−20=1
Step 3: Add 20 to both sides.
−7x−20+20=1+20
−7x=21
Step 4: Divide both sides by -7.
−7x
−7
=
21
−7
x=−3
what is the answer to 742/11?
Answer:
the answer is 67.4545454545
Step-by-step explanation:
The expression 10,000 – 1,000t can be used to calculate the tax value in dollars of a farm tractor that is t years old. How old will the tractor be when its tax value reaches zero?
(a) 12 yr old, (b) 11 yr old, (c) 10 yr old, (d) 13 yr old
Answer:
C. 10 year old
Step-by-step explanation:
Not needed
Answer:
10 years
Step-by-step explanation:
10000-1000t=0
10000=1000t
t=10yeard
What is 4 divided by 37.4??
Answer:
.101265823
Step-by-step explanation:
ILL MARK BRAINLIST !!! JUST THE ANSWER !!!!
What is the value of the expression below when
y = 5?
Answer: 59
Step-by-step explanation:
Answer:
59
Step-by-step explanation:
BRAINLIEST TO THE FIRST CORECT ANSWER!!!Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo’s equation is missing, as shown below.
Negative (x minus 1) + 5 = 2 (x + 3) minus box
Which could be the missing term that Leonardo put into the box?
x
3x
1
5
Answer:
The missing term is 3x
Step-by-step explanation:
Hope that helped!!
Answer:
b
Step-by-step explanation:
i did the problem
When evaluated for x=-4 the expression x2-8/x+10 is equal to
Answer:
-16/6
Step-by-step explanation:
2x-8÷x+10
2(-4)-8÷-4+10
-16÷6
Simplify the polynomial
(3x^2 - 5x + 2) + (2x^2+ 3x - 10)
Answer:
the answer is b 5x^2-2x-8
What is the value of x?
Answer: D- 30
Step-by-step explanation:
What is the remainder when 7842 is divided by 176
Answer: 5 or 55
Step-by-step explanation:
The remainder is 98 when 7842 is divided by 176 after using the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have two numbers:
7842 and 176
7842 is divided by 176
Mathematically,
= 7842 ÷ 176
We can write the above number expression in the form of a fraction:
= 7842/176
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The remainder will be:
Quotient = 44
Remainder = 98
Thus, the remainder is 98 when 7842 is divided by 176 after using the arithmetic operation.
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Points Pand Q lie in plane A. How many lines contain P
and Q?
2. Lines PQ and QP
3. The 2 lines PQ and QP plus another line that does
not lie in plane A.
1. Line PQ
. We can't name them all!
Answer:
The correct answer is :
1. Line PQ (One line PQ).
Step-by-step explanation:
The first step to solve this question is to draw the plane A with the points P and Q lying on it.
We know that given two different points there is only one line that contains this two different points.
Let's analyze each option.
''2. Lines PQ and QP''
This option is wrong because there aren't two different lines. In fact it is only one line that can be named line PQ or line QP.
''3. The 2 lines PQ and QP plus another line that does not lie in plane A.''
This option is assuming that exist three lines that contain P and Q. This option is also wrong.
''1. Line PQ''
This option is correct. It will be clarify with the drawing I will attach.
''We can't name them all!''
This option is assuming that exist infinite lines that contain P and Q. This option is wrong.
In the drawing I call the line that contains P and Q as line L.
Given that P and Q lie in plane A necessarily the line L must lie on the plane A.
Only one line contains points P and Q
The given parameters are:
Plane APoints P and QThere are at least two points in a line
This means that, a line can contain points P and Q, and any other points
Hence, only one line contains points P and Q
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Parker has 12 blue marbles. Richard has 3/4 of blue marbles that Parker has.
Explain how you know that Parker has more blue marbles than Richard without completing the multiplication. Enter equal to, greater than, or less than in each box.
Answer:
Parker>Richard
Step-by-step explanation:
So we know Parker has 12 marbles(blue) and Richard has 3/4(.75) of that.
You do not need multiplication as the answer is above this
Come on look above, what do you see?
Richard has .75 or 75% or 3/4 but not 1 or higher so he has less
Answer: Parker>Richard
The number of marbles Parker has > the Number of marbles Richard has.
Parker has 12 blue markers.
Richard has 3/4 of the blue marbles that Parker has.
What is a fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
For example, when We say 3/4, it means there will be 4 equal parts out of which we are considering 3 parts.
Same way, Richard has 3/4 of the blue marbles that Parker has.
This means Parker has 4 equal parts of 12 marbles.
This means Parker has 4 equal parts with each part consisting of 3 marbles.
Since each part contains 3 marbles
So 3 parts will contain 3+3+3 =9 marbles
Since Richard has 3 parts of the blue marbles that Parker has.
This means Richard has 9 marbles.
Therefore, the Number of marbles Parker has > the Number of marbles Richard has.
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What is the intersection of the two sets below?
{1, 5, 6, 9}, {2, 5, 8}
Answer:
5
Step-by-step explanation:
if both of them have 5 without a picture they most likely are intercepted at the number 5
0.5x = -0.87x + 0.37x
Show me the work
Answer:
x = 0
Step-by-step explanation:
0.5x = -0.87x + 0.37x-0.87x + 0.37x - 0.5x = 0-x = 0x=0A choral conductor has 1542 singers in her choir, some of them are professional singers. The conductor wants to estimate what percentage of singers are professional, but can't ask all 1542, so she instead asks 650 singers in front and finds 19 who are professionals.
Answer:
The value is [tex]\r p = 2.9\%[/tex]
Step-by-step explanation:
From the question we are told that
The number of singers is [tex]N = 1542[/tex]
The sample size is [tex]n = 650[/tex]
The number the number of singers who are professional is k = 19
The proportion of professional singers is mathematically represented as
[tex]p = \frac{k}{n}[/tex]
=> [tex]p = \frac{19}{650}[/tex]
=> [tex]p = 0.029 [/tex]
The percentage estimate of singers who are professional is
[tex]\r p = 100 * 0.029[/tex]
[tex]\r p = 2.9\%[/tex]
A brick layer is able to set 2.5 breaks in one minute how many bricks can you set an eight hours
Answer:
In 8 hours he will set 1200 bricksStep-by-step explanation:
In this problem, we are expected to estimate the number of bricks he can set in 8 hours.
let us convert hours to minutes we have
60 min make 1 hour
x min make 8 hours
cross multiply
x= 60*8
x= 480 min
We are assuming the same rate with which he sets 2.5 brick is the same as the rate with which he will set bricks for the 8 hours windows
so if the bricklayer sets
2.5 bricks in 1min
y bricks in 480 min
Cross multiply we have
y=2.5*480
y= 1200 bricks
hence in 8 hours, he will set 1200 bricks
3a+2b+cx=2(4d-5e) how do i find x?
Answer:
[tex]x = \frac{8d-10e-3a-2b}{c}[/tex]
Step-by-step explanation:
In order to find x, our goal is to isolate it on one side of the equation.
To do this, let's first apply the distributive property on the right side of the equation.
[tex]3a+2b+cx = 8d - 10e[/tex]
Now we can subtract [tex]3a[/tex] and [tex]2b[/tex] from both sides:
[tex]cx = 8d - 10e - 3a - 2b[/tex]
And now we can divide both sides by [tex]c[/tex] so that x is alone on the left side.
[tex]x = \frac{8d-10e-3a-2b}{c}[/tex]
Hope this helped!
Evaluate 4 |7 − n| + 5 when n = 12 .
Answer:
15
Step-by-step explanation:
4 |7 − n| + 5
Substitute n = 12
4 |7 − 12| + 5
4 |-5| + 5
Take the absolute value of -5, which is 5
4 * 5 +5
Multiply
20 -5
15
Jace invested $8,300 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 14 years?
Answer:
$20911Step-by-step explanation:
Given
Investment P₀ = $8300Interest rate r = 6.6% Compound = continuous Time t=14 yearsP = ?Formula for continuous compound interest:
P = P₀e ^rt, where e = 2.71828, constant used for continuous interestP = 8300*(2.71828)^(14*0.066) P = $20910.57 = $20911 rounded to the nearest dollarAnswer:
A≈20911
Step-by-step explanation:
- 5x - 72 = -12x + 75
Answer:
x = 21
Step-by-step explanation:
Step 1: Write out equation
-5x - 72 = -12x + 75
Step 2: Add 5x to both sides
-72 = -7x + 75
Step 3: Subtract 75 on both sides
-147 = -7x
Step 4: Divide both sides by -7
21 = x
Step 5: Rewrite
x = 21
3. Tad owes John $23 and borrows
$12 more. How much does Tad
owe John now?
Answer:
35 dollars
Step-by-step explanation:
23 + 12 = 35
hopefully this helps you :)
pls give me brainlest ;)
Write an equation of a line that is perpendicular to y = -2x +4
that passes through the point(4,2)
Write an equation of a line that is perpendicular to 4x +2y = 8
that passes through the point(6,2)
Write an equation of a line that is perpendicular to y = 2/3x+2
that passes through the point(2,2)
Write an equation of a line that is perpendicular to y = 1/4x-4
that passes through the point(2.8)
Answer:
Step-by-step explanation:
1. perp. 1/2
y - 2 = 1/2(x - 4)
y - 2 = 1/2x - 2
y = 1/2x
2. 2y = -4x + 8
y = -2x + 4
perp. 1/2
y - 2 = 1/2(x - 6)
y - 2 = 1/2x - 3
y = 1/2x - 1
3. perp. -3/2
y - 2 = -3/2(x - 2)
y - 2 = -3/2x + 3
y = -3/2x + 5
4. perp. -4
y - 8 = -4(x - 2)
y - 8 = -4x + 8
y = -4x + 16
0.4879 rounded to the nearest 10th
Answer:
0.5
Step-by-step explanation:
8 is bigger than 5 so 4 rounds up
QUESTION 5 · 1 POINT
Factor: 2x2 + x - 3.
Provide your answer below:
(2x+3)(x - 1)
I’m not sure if my answer is correct
Answer:
( x - 1) ( 2x + 3)
Step-by-step explanation:
It's actually the other way round.
2x^2- + x - 3
( 2x^2 - 2x) + (3x-3)
2x ( x-1 ) + 3( x-1)
( x - 1)(2x+3)
Its the other way around
HOPE IT HELPED
Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 453 randomly selected students in Florida; in this sample, the mean is 1013, and the standard deviation (s) is 108. a. Construct a 95% confidence interval for the average test score for students in Florida. b. Is there statistically significant evidence that students in Florida perform differently from other students in the United States
Answer:
a
The 95% confidence interval is [tex]1003 < \mu <1023[/tex]
b
Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 1000[/tex]
The sample size is [tex]n = 453[/tex]
The sample mean is [tex]\= x = 1013[/tex]
The standard deviation is [tex]s = 108[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = 100 - 95[/tex]
=> [tex]\alpha = 5\%[/tex]
=> [tex]\alpha = 0.05[/tex]
The critical value for [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{108}{\sqrt{453} }[/tex]
=> [tex]E = 9.946[/tex]
Generally the 95% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
=> [tex]1013 - 9.946 < \mu < 1013 + 9.946[/tex]
=> [tex]1003 < \mu <1023[/tex]
Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States
Find the perimeter of the rectangle
Answer:
22 in.
Step-by-step explanation:
Perimeter = Length + Length + Breadth + Breadth
Perimeter = 7 in. + 7 in. + 4 in. + 4 in.
Perimeter = 22 in.
Find the HCF of 98 and 182
Answer:
The highest common factor of 98 and 182 is 14
A vertical line has points C, E, F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.
m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
Answer:
A.D.E
I GOT IT RIGHT IN EDG
A line is a one-dimensional shape that is straight. The correct options are A, D, and E.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a vertical line has points C, E, and F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees. Also, Ray EB bisects ∠CEA.
Therefore, the diagram for the given condition can be made as shown below.
Now, the options that are correct are:
m∠CEA = 90°∠CEF is a straight angle.∠AEF is a right angle.Hence, the correct options are A, D, and E.
The complete question is:
A vertical line has points C, E, and F from top to bottom. 2 lines extend from point E. One line extends to point A and another extends to point B. Angle A E C is 90 degrees.
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.
m∠CEA = 90°m∠CEF = m∠CEA + m∠BEFm∠CEB = 2(m∠CEA)∠CEF is a straight angle.∠AEF is a right angle.Learn more about Line:
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