Answer:
the system of equations 25-x=-4y and 3x-2y=30
Step-by-step explanation:
the system of equations 25-x=-4y and 3x-2y=30
Answer:
(7, -9/2)
x=7
y=-9/2
Step-by-step explanation:
1. x=25+4y
2. 3x-2y=30
substitute 1 in 2
3. 75+12y-2y=30
simplify
10y=-45
y=-9/2
substitute y in to the second equation 3x-2y=30
3x+9=30
3x=21
x=7
You want to reduce your daily calorie consumption by about 9%. You currently consume about 2100 calories per day. Use mental math to estimate the number of calories you should consume in one week to meet your goal.
Answer:
13,377 in one week
Step-by-step explanation:
2100*0.09=189
2100-189=1911
1911*7=13,377
~hope this helps~
To meet your goal, you should consume 13377 calories in one week.
What is a percentage?Percentage refers to a number that is "out of one hundred." As with fractions and decimals, percentages are used in mathematics to represent subsets of a whole.
Given,
you currently consume about 2100 calories per day.
You want to reduce your daily calorie consumption by about 9%.
That means,
9% of 2100
= 9 x 2100 / 100
= 189 calories
To find the number of calories you should consume in one week to meet your goal:
Multiply by 7 to reduced consumption in one day.
7 x 189
= 1323 calories.
Now, subtraction;
One week of consumption - reduced consumption
= (2100 x 7) - 1323
= 13377
Therefore, in one week you should consume 13377 calories.
To learn more about the percentage;
brainly.com/question/24159063
#SPJ2
Find the value of f(5) for the function.
f(x) = 6+3x
Answer: 21
Step-by-step explanation:
This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.
Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent this situation
The exponential function that represents the future value of the investment is $300(1.04)^t.
What is the exponential function?
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$300(1.04)^t.
Where t represents number of years
To learn more about future value, please check: https://brainly.com/question/18760477
During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?
Answer:
unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the
Help please if you can do it
Answer:
Associative property
Step-by-step explanation:
Sine the () was moved to another two numbers, it would be the Associative property of addition
Hope this helps :)
Jennie was collecting bugs for a school science project. She measured each one in inches and wrote there lengths below. Which list shows the lengths in order least to greatest?
With work please!
Answer: A
Step-by-step explanation:
1/2=.5
1/3=.3 repeated
3/18=0.16 6 repeated
No b,c,
1/2>3/18
so a is correct
Write 4.58 correct to 1 decimal place.
Study the image.
Make a personal connection to the photo. In three to five sentences, write a short essay that explains what type of lighting setup was used and what this image makes you think about. Use specific details in describing what the photo reminds you of personally.
Answer:
he is on high depression
he is so success ful guy
he makes an advertisement of some thing
he advertises watch
he see going to be a future doing on his life
please help urgent math photo attached
Answer:
K = (-5, 14)
Step-by-step explanation:
For writing equations of parallel and perpendicular lines, it is convenient to start with equations in general form:
ax +by +c = 0
Rewriting the given equations, we have ...
y = 1/2x -1
x -2y -2 = 0 . . . . . line d
y = -3x +2
3x +y -2 = 0 . . . . . line d'
__
A parallel line will have the same coefficients, but a constant appropriate to the required point on the line.
Parallel to d' through A(-1, 2):
3(x -(-1)) +(y -2) = 0
3x +y +1 = 0 . . . . . . . . simplify
__
A perpendicular line will have the coefficients swapped and one of them negated. Again, the constant is appropriate to the required point.
Perpendicular to d through B(3, -2):
2(x -3) +(y -(-2)) = 0
2x +y -4 = 0 . . . . . . . . simplify
__
The solution to this system of equations can be found by subtracting the second equation from the first:
(3x +y +1) -(2x +y -4) = (0) -(0)
x +5 = 0
x = -5
Substituting into the second equation gives ...
2(-5) +y -4 = 0
y -14 = 0
y = 14
The coordinates of point K are ...
K = (-5, 14)
_____
Additional comment
The general line through the origin ...
ax +by = 0
can be translated to go through point (h, k) by the usual method for translating functions. The variable x is replaced by (x -h), and the variable y is replaced by (y -k). Using the general form equation means we can keep the variables and constants all on the same side of the equal sign, saving a bit of work and confusion.
a(x -h) +b(y -k) = 0 . . . . . . line through point (h, k)
__
The graph is drawn by a geometry program capable of drawing parallel and perpendicular lines through given points. It confirms the equations and th solution.
Find the number that makes the ratio equivalent to 4:8.
:64
Answer:
4:8 = 32:64
Step-by-step explanation:
4:8 = x:64
256=8x
32 = x
BRAINLIEST? TY!
1) 3x + 6 - 2 + 5x
2) a bicycle is originally priced at 80$. The store owner gives a discount and the bicycle is now 60$. What percent discount was taken off?
Answer: ✨4(2+1)✨
Step-by-step explanation: ✨3+6−2+53x+6−2+5x3+4+53✨
Answer:
4(2x + 1)
---->
Step-by-step explanation:
1: 3x + 6 - 2 + 5x = 4(2x + 1)
2: Orignal Cost=80
Discounted Cost=60
Discount=80-60=20
Discount%=(20/80)*100=25%
please ayudar -2x + 6 ≤ 41 + 3x
Answer:
x => -7
Step-by-step explanation:
to solve this equation you should start by subtract 6 on both sides
-2x <= 3x + 35
then subtract 3x to both sides
-5x <= 35
then you divide both sides by -5
x => -7
you must change the signs because you multiplied it by a negative
A student's workout is graphed on the grid below. What’s the domain and range?
Answer:
Domain [0,50] and Range [0,100]
Step-by-step explanation:
The domain of a graph is the values that x takes on in the graph.
We see the x values for the graph go from 0 to 50.
Since both ends of the graph are closed circles we will use brackets:
D [0,50]
The range of a graph is the values that y takes on in the graph.
We see the y values for the graph go from 100 to 0.
R [0,100]
We can also write them in interval notation:
Domain: [tex]0\leq x\leq 50[/tex]
Range: [tex]0\leq y\leq 100[/tex]
Find the lateral surface area of this rectangular prism in centimeters. refer to your staar 8th grade math reference sheet for the appropriate formula. question 2 options: 28 cm2 36 cm2 42 cm2 48 cm2
The lateral surface area of a rectangular prism has length, breadth, and height is 3cm, 3cm, and 2cm is 36cm sq.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = 2( l + b) h
It is given that length, breadth and height are 3cm, 3cm and 2cm.
The lateral surface area of this rectangular prism = 2( l + b) h
= 2 (3+3) 2
= 4 × 9
= 36cm sq.
Hence, the lateral surface area of this rectangular prism is 36cm sq.
Learn more about prism;
brainly.com/question/1601740
Answer:
39 ig
Step-by-step explanation:
This circle passes through the points $(-1, 2)$, $(3,0)$ and $(9,0)$. The center of the circle is at $(h,k)$. What is the value of $h+k$?
Answer:
17
Step-by-step explanation:
The geometry program that drew the circle through the three given points wrote this equation for the circle:
(x -6)^2 +(y -11)^2 = 130
Compared to the standard form equation, ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
we can see that the center is (h, k) = (6, 11).
The sum h+k is 6+11 = 17.
__
Additional comment
The center is at the point of intersection of the perpendicular bisectors of chords of the circle.
Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.
We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is
y -1 = 2(x -1)
For x=6, the point of intersection of the chord bisectors is ...
y -1 = 2(6 -1) = 10
y = 11
The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.
- Calculate the profit or loss
- Find the percentage profit or loss correct to 2 decimal places
A car purchased for $28899 was sold for $17580
Answer:
loss=B.price-S.price
$28899-$17580=$11319
Percentage profit=profit/B.price*100%
$11319/28899*100=$385.20
Step-by-step explanation:
Which is the recursive formula for this arithmetic sequence? an = an – 1 7 where a1 = –10 an = an – 1 17 where a1 = –10 an = 7an – 1 - 17 where a1 = –10 an = an – 1 – 7 where a1 = –10.
Answer: 1. 10
2. an = an - 1 + 7 where a1 = -10
Step-by-step explanation:
Answer: A. an = an – 1 + 7 where a1 = –10
Step-by-step explanation:
How many lines of symmetry does the letter have?
0
1
2
3
What are the following factors of x² - 6x +8
1) 1, 8
2) 4,2
3) -4, -2
4) -1, -8
This question will help me get ready for high school.
Answer:
2) 4,2
Step-by-step explanation:
Factor by grouping:
[tex]x^2-6x+8\\\\x^2-4x-2x+8\\\\x(x-4)-2(x-4)\\\\(x-2)(x-4)[/tex]
Setting the expression equal to 0 and using the Zero Product Property, [tex]x=2[/tex] and [tex]x=4[/tex], which are the factors of the original polynomial.
Answer:
The factors are x-2 and x-4.
Step-by-step explanation:
x^2 - 6x + 8
= (x - 2)(x - 4)
When a sphere has a volume of 7235.56, what is the radius of the sphere? Round to the nearest tenth. Use 3.14 for π.
Answer:
V = (4/3)πr3 ≅ (4/3)(3.14)(3 in)3 ≅ 113.0 in3
Step-by-step explanation:
A. ((4 × 5) – 15) ÷ (2 + 22 – 1) =
((4 × 5) – 15) ÷ (2 + 22 – 1) =
B. 4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =
4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =
Answer:
A. 8 1/4 - 3 2/5 - (2 1/3 - 1/4) = 83/30 = 2 23/30 ≅ 2.7666667
B. 5
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?
Answer:
2 hours 15 minutes
Step-by-step explanation:
7+2 =9
00+15 =15
Answer:
2 hours and 15 minutes
Step-by-step explanation:
2 hours and 15 minutes
7pm - 8pm = 1 hour
8pm - 9:15 = 1 hour 15 minutes
1 hour + 1 hour +15 minutes = 2 hours 15 minutes
WILL GIVE BRAINLIEST IF YOU KNOW THE ANSWER!!! PLS HELP :)
Answer:
A. 5.0 * 10⁻⁹ J
Step-by-step explanation:
Q is charge.
ΔV is electric potential energy.
All we have to do is plug both values in.
PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J
Answer:
A.
Step-by-step explanation:
Plug the values in and there is your answer.
I hope it helps! Have a great day!
Anygays-
What is 1978 times 45
Answer:
89010
Step-by-step explanation:
1978 times 45 will equal 89010 its very simple step wise.
Answer:
89010
Step-by-step explanation:
Scott is the owner of a tool and die shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.
Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:
[tex]H_0: \mu = 1.5[/tex].
At the alternative hypothesis, it is tested if it is different, hence:
[tex]H_1: \mu \neq 1.5[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, their values are:
[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]
[tex]t = -1.672[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
More can be learned about the t-distribution at https://brainly.com/question/16313918
1000 to the fourth power(?
Answer:
Step-by-step explanation:
Answer: Raise 1000 to the power of 4
1000000000000
22 pints = what fluid ounces
Answer:
422.734 fluid ounces
Step-by-step explanation:
For the approximate result you have to multiply the volume value by 19.215
The center of mass is defined as a point on the straight line between two objects with masses m and m₂ coordinates of the center of mass? m₂ = (X2Y₂) 4 m₁ = (x₁, y₁) OA L₂ center of mass m₂x₁ + m₂x₂ m₂y₁ + m₂Y/₂ 2(m, + m₂) 2(m, + m₂) B. (m₂(x₁ + x₂) M₂ (Y₁+Y/₂) 2(m, + m₂) 2(m, + m₂) OCM₂X₁ + M₁X₂ M₂Y₁ + M₁Y₂ m₂ + m₂ m₂ + m₂ D. m₂x₁ + m₂x₂ m₂v₁ + M₂Y/₂ m₁ + m₂ m₁ + m₂ 4, m₂ = such that 4₂ m₂ What are the
Answer:
D
Step-by-step explanation:
As is often the case with multiple choice questions, a simple check of the reasonableness of the answers will identify the correct one.
Here, the key is that the center of mass will be at the non-zero mass if one of them is zero. Assuming m2 = 0, the center of mass will have coordinates (x1, y1).
Checking the offered expressions when m2=0, we have ...
A. (m1x1/(2m1), m1y1/(2m1)) = (x1/2, y1/2) ≠ (x1, y1)
B. (m1(x1 +x2)/(2m1), 0) = ((x1+x2)/2, 0) ≠ (x1, y1)
C. (m1x2/m1, m1y2/m1) = (x2, y2) ≠ (x1, y1)
D. (m1x1/m1, m1y1/m1) = (x1, y1) . . . . . the answer we're looking for
8+(6 - 2)3 divided by 2