Sydney applied the steps below to find the product of (3.1)(–1.6).
Step 1: (3.1)(–1.6) = (–1.6)(3.1)
Step 2: = _______________
Step 3: = (–4.8) + (–0.16)
Step 4: = –4.96
Which expression correctly fills in the blank in Step 2?
(1.6)(3) – (1.6)(0.1)
(–1)(3) + (–0.6)(0.1)
(1)(3) – (0.6)(0.1)
(–1.6)(3) + (–1.6)(0.1
Answer with explanation:
We have to find the product of
⇒(3.1)× (-1.6)
Step 1:→ (3.1)(–1.6) = (–1.6)(3.1)
Step 2: = -1.6×(3 + 0.1)=(-1.6) ×3 + (-1.6)×(0.1)→→We have used Distributive property of addition with respect to Multiplication, which is , a × (b + c)=a×b + a × c
Step 3: = (–4.8) + (–0.16)
Step 4: = –4.96
The expression which correctly fills the blank is:
Option D: →→ (–1.6)(3) + (–1.6)(0.1)
Answer this for 10 points
Roman mixes 12 liters of 8% acid solution with a 20% acid solution, which results in a 16% acid solution. Find the number of liters of 20% acid solution in the new mixture. Construct a table to organize the information, and show all of your work to solve the problem
an airplane flies 105 miles in 1/2 hour . how far can it fly in1 1/4 hours at the same rate of speed.
−5=−8−x What is x? Solve for x
Mary has twice as many pencils as she has pens. Tom borrows a pen. Now, Mary has ten less pens than pencils. How many pencils does Mary does?
The set of ordered pairs described in the table below can be described as which of the following?
x y
1 5
2 2
3 5
a relation only
a function only
both a relation and a function
neither a relation nor a function
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?
(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)
Answer:
x-intercepts are (-6,0 and (2,0)
First option is correct.
Step-by-step explanation:
The given equation is [tex]y=x^2+4x-12[/tex]
For x-intercept, y=f(x)=0. Thus, we have
[tex]0=x^2+4x-12[/tex]
We can split the middle term as 4x = 6x-2x
Thus, the equation becomes
[tex]x^2+6x-2x-12=0[/tex]
Now, we make group
[tex](x^2+6x)+(-2x-12)=0[/tex]
Take GCF from each of the group
[tex]x(x+6)-2(x+6)=0[/tex]
Factored out the common term
[tex](x+6)(x-2)=0[/tex]
Apply the zero product property,
[tex]x+6=0,x-2=0[/tex]
Solve for x
[tex]x-6,x=2[/tex]
Thus, x-intercepts are (-6,0 and (2,0)
First option is correct.
Answer:
A
Step-by-step explanation:
A carton has a length of fraction 2 1/6 feet, width of fraction 1 and 1/5 and height of fraction 2 and 1/2 feet. What is the volume of the carton
If the width of a rectangle is x + 2 and the length is twice as long, what is the area?
an airplane is flying from montreal to vancouver. the wind is blowing from the west at 60km/h. the airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. what heading should the pilot take to compensate for the wind? what is the speed of the airplane relative to the ground?
6x34 in distributrive property
The weight of 10 identical samples of a substance is 0.01 pound what is the weight of 10,000 samples
The weight of 10,000 samples is:
10 pounds.
Step-by-step explanation:It is given that:
The weight of 10 identical samples of a substance is 0.01 pound.
i.e. 10 samples= 0.01 pound.
Now we are asked to find the weight of 10,000 samples.
Since,
10 samples= 0.01 pound.
1000×10 samples= 1000×0.01 pounds
i.e.
10000 samples= 10 pounds.
Hence, the answer is: 10 pounds.
Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim worked for y weeks. Which expression shows the total money, in dollars, that Sue and Kim earned for delivering magazines? 64x + 52y 52x − 12 + 52y 52x + 64y 52x + 12 + 52y
Miguel typed 270 words in 6 minutes. His paper is 630 words. If he keeps typing at the same rate, in how many more minutes will Miguel finish typing his paper?
A. 8 minutes
B. 14 minutes
C. 16 minutes
D. 22 minutes
What are the factors of 4x2 + 23x − 6? (4x − 6)(x + 1) (4x − 1)(x + 6) (4x − 2)(x + 3) (4x − 3)(x + 2)
The factors of 4x^2 + 23x − 6 are (4x-1)and (x+6).
We have given that,
[tex]4x^2 + 23x - 6[/tex]
We have to determine the factors of given expression
What is the quadratic formula?[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4\cdot \:a\left(c\right)}}{2\cdot \:a}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \sqrt{23^2-4\cdot \:4\left(-6\right)}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \:25}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-23+25}{2\cdot \:4},\:x_2=\frac{-23-25}{2\cdot \:4}[/tex]
[tex]=\frac{-23+25}{2\cdot \:4}[/tex]
[tex]=\frac{2}{2\cdot \:4}[/tex]
[tex]=\frac{1}{4}[/tex]
[tex]x=\frac{1}{4},\:x=-6[/tex]
Therefore the factors are(4x-1)and (x+6)
To learn more about the expression visit:
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Kevin had six nickels and 4 dimes in his pocket. If he took out one coin and then a second coin without replacing the first coin-- a) what is the probability that both coins were nickels. b) what is the probability that both coins were dimes. c) what is the probability that the first coin was a nickel and the second a dime
2/7 times 2/6 = what
Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used?
1/2
1/3
3
2
Find the area of the figure shown. Use 3.14 to approximate pi
Fraction 14 divided into 18
how many 1/4 pound patties can be made from 5 pounds of chicken?
i will give brainliest to 1 out of how ever many answer!
The profit that a company earns each month depend on the amount of product sold, p, for $855 each and the amount of money spent on rent, utilities, and other expenses, which always totals to $6,780. The CEO earns 15% of the profit. How much does the Ceo earn if the company sells 250 products in a given month?
Subtract.
14x-(6+7x)
(Simplify answer)
What is the answer to 6,007,200 in exspanded form
The number 6,007,200 in expanded form is written as 6,000,000 + 7,000 + 200, breaking down the number by each digit's place value.
To write the number 6,007,200 in expanded form, we break it down based on the place value of each digit. Here is how you would write it:
Identify the value of each digit in the number.
Starting from the left, write each digit multiplied by its place value.
Add each of these values together.
Applying this to the number 6,007,200, we get:
6,000,000 (6 millions) + 7,000 (7 thousands) + 200 (2 hundreds)
Therefore, the expanded form of 6,007,200 is:
6,000,000 + 7,000 + 200
What is the point-slope form of a line with slope -3 that contains the point (10,-1)?
Find the perimeter of the following shape, rounded to the nearest tenth: Shape ABCD is shown. Point A is at -3,5. Point B is at 2,6. Point C is at 0, 2. Point D is at -5, 1.
C+1/c-2 = 4/7 please show how you got the answer which is 5
What is the product of 4xy and y2 + 2x?
4xy + 4xy 3
8x 2y + 4xy2
8x 2 + 4xy 3
8x 2y + 4xy3
Round 992,449 to the nearest hundred thousand