Solve the system of linear equations by substitution. Check your solilution.
y=x+3 y=5x-5
9514 1404 393
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
Substitute the expression for y in the second equation into the first equation:
5x -5 = x +3
4x = 8 . . . . . . add 5-x to both sides
x = 2 . . . . . . divide by 4
y = 2+3 = 5 . . . substitute for x in the first equation
The solution is (x, y) = (2, 5).
3) Which inequality represents this scenario?
The weight of a book may be no more than 3.3 pounds.
A) w > 3.3
B) w< 3.4
C) w <3.3
D) w < 3.3
Answer:
w < 3.3
C) w < 3.3
D) w < 3.3
Answer: [tex]w \le 3.3[/tex]
=====================================================
Explanation:
w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.
w = 3.3 is possible or anything smaller than it is possible.
So w is 3.3 or smaller meaning we write the inequality [tex]w \le 3.3[/tex]
The answer is not w < 3.3 because that would exclude 3.3 itself.
The answer is between choices C and D. It seems like one of those inequality signs should have an underline.
4. If y - 2x = 3 and y - x = 1, what are the values of x and y?
y - x = 1.
or, y= 1+x
y - 2x = 3.
=>1+x -2x= 3 (substituting the value of y)
=>-x= 2
=>x= -2
y = -2+1 = -1
Therefore, x = -2 and y = -1
1. Annel sells a phone which costs $180 and earns 5% commission. What is the dollar
amount of commission that Annel earns?
A $189
B $9
C $109
D $90
Answer:
B) $9
Step-by-step explanation:
5% can also be written as 0.05
Dividing a percentage by 100 gives you decimal form.
The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:
$180 x 0.05 = $9
Helppppp 78 squared to the 3rd
If John were to create a scatterplot, all of the following will be characteristics of correlation EXCEPT ___________.
Answer:
The answer is "Amount of daily sales at any given temperature".
Step-by-step explanation:
John, an ice-cream saloon's proprietor, gathers ice-cream day-to-day sales data in regards to the everyday temp.
When John wants to make a dispersal plot, the follows will be correlation qualities except for the number of transactions a day at any specific temperature.
Its strength, degree, or direction can be estimated by association, however, the number of daily sales cannot be measured by dispersion at any given temperature.
Mr. Rudd built a cabin with 351 logs, and his friend built a cabin with 113 logs. About how many logs did the two of them use
Answer:
464
Step-by-step explanation:
351 + 113. Add them both together to get your answer.
What is x 7x + 9 = 30
Answer:
x=3
Step-by-step explanation:
7x+9=30
7x=30-9
=21
x=21÷7
=3
hey this is my first post, does anyone know how to do this and find V?
Answer:
16
Step-by-step explanation:
8/1/2
8 divided by 1/2
8 x 2/1 = 16
Answer:
Step-by-step explanation:
P=8/V
1/2=8/V
do cross multiplication
2*8=V*1
16=V
Helen gathered 37 mushrooms in 3 hours. how many mushrooms did she gather if she gathered 7 more mushrooms in the second hour than the first hour and 6 more in the third hour than in the first hour?
pls help!
Step-by-step explanation:
How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour? = 8.
In Haiti, the price for five (5) flat rolls is 5 gourdes, around 12 cent. How much would we have to pay for 20 rolls?
Answer: $2.40
Step-by-step explanation:
You would multiply 12 by 20 which would give you $2.40.
The price of the 20 rolls will be equal to 48 cents.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that In Haiti, the price for five (5) flat rolls is 5 gourdes, around 12 cents.
The cost of the 20 rolls will be calculated as,
20 rolls ⇒ 12 cents
1 roll ⇒ 12 / 20 cents
20 rolls ⇒ ( 12 x 20 ) / 20
20 rolls ⇒ 48 cents
Therefore, the price of the 20 rolls will be equal to 48 cents.
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The graph of the function f(x) = (x - 3)(x + 1) is shown.
Answer:
the second one
Step-by-step explanation:
y is postitive when x < -1 and x > 3, but y is decreasing only when x < 1 so the case where both are true is when x < -1 option 2
(PLEASE HELP ASAP)
Which of these angle pairs are congruent because they are corresponding
angles?
Answer:
B. 2 and 6
Step-by-step explanation:
Corresponding angles in the given diagram is 2 and 6 which is option b.
What is Corresponding angles?Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal. The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles. These are formed in the matching corners or corresponding corners with the transversal.
According to above definition
Two parallel lines are intersected by the transversal and 4 corresponding angles comes.
2 and 6
1 and 5
3 and 7
4 and 8
Hence, Corresponding angles in the given diagram is 2 and 6.
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A system of equations that had had no solution is called a(n) ______ system.
Answer:inconsistent
Step-by-step explanation:
there is no explanation its just vocab
What is an algebraic expression for the quotient of w and 7 ? A. W-7 B. W+7 C.W/7 D.7w
Answer:
the answer for this is C.
Step-by-step explanation:
quotient is the number gotten by dividing a number by another.this is why it is C.
2m + 7m + 3m = 72
whats the answer step by step
Answer:
m = 6
Step-by-step explanation:
First, add like terms:
2m + 7m + 3m = 72
12m = 72
Divide each side by 12:
m = 6
So, the answer is m = 6
Answer:
m = 6
Step-by-step explanation:
2 m + 7 m + 3 m = 72
12 m = 72
[tex] \sf \small\: m \: = \frac{72}{12} \\ [/tex]
m = 6
Hence, your answer is 6.
A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.
Answer:
yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Step-by-step explanation:
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Option (B) is correct.
It is required to find the appropriate to model the distribution of the sample.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
A local steakhouse served 625 customers over a weekend.
The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
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PLEASE HELP ME !!! ASAP PLS!!!
Answer:
AI and AJ
Step-by-step explanation:
Opposite rays start at the same point (A) and go in the complete opposite direction
The table shows the coordinates of some rides on a map of the fairgrounds. Which quadrant shows the roller coaster
Answer:
Quadrant IV shows the roller coaster.
Step-by-step explanation:
Since you see R in quadrant 4, which has the coordinates 1,-6, it is in the 4th quadrant, or Quadrant IV.
What is 0.851 rounded to the nearest hundredth?
Answer: 0.85 hope this helps
Step-by-step explanation: plz mark brainlest
The shorter leg of a right triangle is 5 cm shorter than the longer leg. The hypotenuse is 5 cm longer than the longer leg. Find the side lengths of the triangle.
Answer:
suppose
h is hypotenuse
l is longer leg
s is shorter leg
Step-by-step explanation:
l-s=5
l+5-10=s
now solve by linear equation
Solve using the quadratic formula or factoring ... 5=6x^2 + 13x
Answer:
x = [tex]\frac{-5}{2}[/tex] or x = [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
5 − 6 2 − 1 3 = 0
− 6 2 − 1 3 + 5 = 0 -6x^2-13x+5=0 −6x2−13x+5=0 − 1
( 6 2 + 1 3 − 5 ) = 0
Answer:
- 5/2, 1/3
Step-by-step explanation:
See image below:) I could only show half of the steps. But you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps.
Evaluate the expression when t is 4.
Equation: 3 x 2t
Answer:
Step-by-step explanation:
3*2t
substitute the value of t
=3*2*4
=24
Answer:
24
Step-by-step explanation:
so you do
3x 2(4) subsuite the t for the 4
then do 2*4= 8
then d0 3x8= 24
Solve for x. Round to the nearest tenth, if necessary. 5.5 D 61° х F
Please help
Answer:
Step-by-step explanation:
take 61 degree as reference angle
using cos rule
cos 61=adjacent/hypotenuse
0.48=5.5/x
x=5.5/0.48
x=11.45
x=11.5
Bob went to a baseball game the game started at 9:41 a.m. and it was 3 hours and 43 minutes long when did the game end
Answer:
The game ended at 1:24 p.m.
Step-by-step explanation:
Find the perimeter of the semi circle window to the nearest tenth.
20 cm
Answer:
628.3 cm
Step-by-step explanation:
The window has a semicircle shape = half of a circle
Perimeter of the window = ½(πr²)
Radius (r) = 20 cm
Plug in the value
Perimeter of the window = ½(π*20²)
= ½(π*400)
Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Help with this math image below
The answer is 'Right'.
Step-by-step explanation:
Sum of angles in a triangle = 180°
Angle C = 180 - 58 - 32
= 90°
90° is defined as a right angle.
Therefore, triangle ABC is classified as a right-angled triangle.
A special offer at the grand opening of a new theater has tickets discounted at 8%.
If the tickets sell for $12, how much will you pay after the discount?
Answer:
you would pay $11.04
Step-by-step explanation:
$12 x .08= .96
$12 - 0.96 = $11.04
Answer:
11.04
Step-by-step explanation:
So, a ticket cost 12$.
We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.
Putting this into decimal form:
0.92
So to find this price, we need to multiply the orginal price by the percentage:
12*0.92
0.02*12 is 2*24 adding 2 decimals which equals 0.24
0.9*12 is 12*9 adding 1 deecimal which equals 10.8
Add them together: 0.24+10.8 = 11.04
So 11.04 is our new cost.
Hope this helps!
Question 4 of 10, Step 1 of 1
Correct
How much simple interest would be paid on a loan of $10,140 at 8 % for 5 months? Round your answer to nearest cent. assume 360 days in a year 30 days in a month
Answer:
338
Step-by-step explanation:
10,140x.08=811.20 annual interest
811.20/360 x 150(5 months)=338