Step-by-step explanation:
First simplify it. Combine like terms.
0.2 - 2m = 2.1m + 2.5 - 1.8m
0.2 - 2m = 0.3m + 2.5
Then isolate m. Add 2m on both sides, then subtract 2.5 from both sides.
0.2 - 2m = 0.3m + 2.5
0.2 = 2.3m + 2.5
-2.3 = 2.3m
Now divide by 2.3 to find m.
-2.3 = 2.3m
-1 = m
And so m = -1.
8 x 6 = (4 x 6) (__x 6)
= 24 + __
=
Answer:
8x6= (4x6) + (4x6)
= 24+24
= 48
Step-by-step explanation:
Hope this helps :)
Answer:
8×6=48
4×6=24 and 24×2=48
So I'm guessing 4,24,48
can yall help me with this one
Answer:
The answer for the dropdown section in x section is 5 and the answer for the dropdown section in the y section is 75
Step-by-step explanation:
Answer:
2 Pumpkins / 15 Dollars
5 Pumpkins / 37.5 Dollars
10 Pumpkins / 75 Dollars
Step-by-step explanation:
2 pumpkins for 15 dollars
that is what we have to work with here
the first step would probably be to figure out how much one pumpkin is, so we should divide the amount that we spent by the amount of pumkins that we got, which would look like
15 / 2 = 7.5
so 1 pumpkin = 7.5 dollars
now, to figure out how many pumpkins you can buy with 37.5 dollars, you would divide the amount of money spent by the amount that each pumpkin costs, which turns out to be
37.5 / 7.5 = 5
Now, to figure out how much money you would need for 10 pumpkins, you would multiply the number of pumpkins by the cost of a single pumpkin, which ends up being
10 x 7.5 = 75
1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilateral. b) Apply the slope formula to determine whether the diagonals are perpendicular. c) Apply the midpoint formula to each diagonal to determine whether the diagonals bisect each other.
Answer:
a) SPAZ is equilateral.
b) Diagonals SA and PZ are perpendicular to each other.
c) Diagonals SA and PZ bisect each other.
Step-by-step explanation:
At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.
a) If figure is equilateral, then SP = PA = AZ = ZS:
[tex]SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}[/tex]
[tex]SP \approx 8.246[/tex]
[tex]PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}[/tex]
[tex]PA \approx 8.246[/tex]
[tex]AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}[/tex]
[tex]AZ \approx 8.246[/tex]
[tex]ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}[/tex]
[tex]ZS \approx 8.246[/tex]
Therefore, SPAZ is equilateral.
b) We use the slope formula to determine the inclination of diagonals SA and PZ:
[tex]m_{SA} = \frac{6-(-4)}{6-(-4)}[/tex]
[tex]m_{SA} = 1[/tex]
[tex]m_{PZ} = \frac{4-(-2)}{-2-4}[/tex]
[tex]m_{PZ} = -1[/tex]
Since [tex]m_{SA}\cdot m_{PZ} = -1[/tex], diagonals SA and PZ are perpendicular to each other.
c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:
[tex]M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)[/tex]
[tex]M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)[/tex]
[tex]M_{SA} = (-2,-2)+(3,3)[/tex]
[tex]M_{SA} = (1,1)[/tex]
[tex]M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)[/tex]
[tex]M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)[/tex]
[tex]M_{PZ} = (2,-1)+(-1,2)[/tex]
[tex]M_{PZ} = (1,1)[/tex]
Then, the diagonals SA and PZ bisect each other.
Solve. y −3 = 1 6 y =
Step-by-step explanation:
y - 3 = 16y original problem
y - 3 - y = 16y - y grouping variables
-3 = 15y Simplification
-3÷15 = 15y÷15 Isolating the variable
-1/5 = y the answer
I hope this helps!!!!!!
Which expression doe
11/15-1/6
Answer:
Exact Form:
17/30
Decimal Form:
0.56
Step-by-step explanation:
Answer:
0.56 i think
Step-by-step explanation:
Solve the system of equations by using the substitution method. 4x - 5y = 25 y=x-6
Answer:
x=5
Step-by-step explanation:
substitute y to the first expression
4x-5(x-6)=25
4x-5x+30=25
-x=25-30
-x=-5
times left and right hand side with minus youll get
x=5
WILL GIVE BRAINLIEST
3. Determine the amount of an investment of $500.00 is invested at an interest rate of 4.75% compounded quarterly for 20 years.
Step-by-step explanation:
Use the compound interest formula:
A = P( 1 + r/n)^nt
A is the amount at the end
P is the principal or original amount.
R is annual rate as a decimal (you have to convert)
N is the # of compounding periods in a year (quarterly means 4)
T is time in years
A = 500( 1 + 0.0475/4)^(4×20)
This would be $1285.64 when fully computed.
Identifying the Rate of Change
Warm-Up
Which statements are correct? Check all that apply.
The graph shows the linear relationship between the
height of a plant (in centimeters) and the time in
weeks) that the plant has been growing.
The rate of change is 4.
The rate of change is 1.
24
y
20
The rate of change is 4.
16
Height (cm)
The plant grows 4 cm in 1 week.
o me plant grows 1 cm in 4 weeks.
12
Time (weeks)
Answer:
Data collected shows that the more you water, the larger your plant will grow. If you use the following Equation, y = 1/2x + 2 How tall will a plant be at 25 weeks if x is the number of weeks watered and y represents the height of the plant? Show your work.
Step-by-step explanation:
find the slope of the lines
Answer:
m = 1
Step-by-step explanation:
We can use the x & y intercepts.
Rise = 2
Run = 2
m = Rise/Run = 2/2 = 1
3.
%.
Paul says that the grids show 150%.
Rebecca says that they show 75%
How could each be correct?
9514 1404 393
Answer:
Paul is using 1 grid = 100%; Rebecca is using 2 grids = 100%
Step-by-step explanation:
We assume that a full grid and half of another are shaded.
If 1 grid is taken to be 100%, then the total amount shaded is 100% +50% = 150%, as Paul says.
__
If the two full grids are taken to be 100%, then the full shaded grid is 50% of the total, and the additional half-shaded grid is 25% of the total. That makes a total of 50% +25% = 75% of the total being shaded, as Rebecca says.
A method for solving 5(x - 2) = 10 is shown below. Which step shows
distributive property?
A. 5x+2=10
B.5x-2=10
C.5x+10=10
D.5x-10=10
Answer:
D
Step-by-step explanation:
What is the measure of XYZ?
Convert 40.64 centimeters to inches.
1 Inch = 2.54 centimeters
PLS HELP!!!
A total of 559 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student tickets than adult tickets. How many adult tickets were sold?
Answer: The answer is 500 hope this helps!
Step-by-step explanation:
Graph the following equation
2y-4x=8
1 Rewrite in slope intercept form
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The length of A B is 8, the length of B C is 5, and the length of B D is 15.
What is the value of s
Answer:
17 units
Step-by-step explanation:
just took the quiz
Answer:
17 units.
Step-by-step explanation:
Hope it helps!!!
Work out the percentage change to 2 decimal places when a price of £8.95 is increased to £10.
Answer:
12% increase
Step-by-step explanation:
Divide the difference between the two prices by the original price:
1.05/8.95
= 0.12
So, the percent change is 12%
Which statements are true? Select all that apply.
A. m∠WZX = 34°
B. m∠WXY = 123°
C. m∠XYZ = 46°
D. m∠WPZ = 90°
Answer:
C. and D.
Step-by-step explanation:
C.) Angle sum property, as XY = ZY
A customer bought 8.5 pounds of apples from a local produce market. If 1 pound = 16 ounces, how many ounces of apples did
the customer buy?
112 ounces
112 ounces
128 ounces
128 ounces
120 ounces
120 ounces
136 ounces
136 ounces
Answer:
136 ounces
Step-by-step explanation:
8.5*16=136
So 136 ounces
Which is the coefficient in the expression 7pie+ 142
Answer:
7pie
Step-by-step explanation:
a local restaurant purchased 10 pounds of flour at a total cost of $40. what is the cost for one pound of flour?
Answer:
4 dollars a pound
Step-by-step explanation:
4x 10 = 40
HELP DUE in 20 MIN
m∠16 =
9514 1404 393
Answer:
∠16 = 47°
Step-by-step explanation:
Vertical and corresponding angles are congruent. The remainder are supplementary to those.
∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°
∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°
Evaluate the expression if p = 1,1=-7, and s= -2.
-3p-21
6+4s
Plzz hurry!!
please help me please will give brainliest to
help me nowwwww!!!!!!
Answer:
its the second one
Step-by-step explanation:
it's the only one where the x number dosent repeat
1.8 to 1 decimal place
Step-by-step explanation:
1.8
8 is 1 decimal place
1./8
8 > 5
1 change to 2
2.0
What is the probability of drawing a face card from a standard deck of cards and rolling a 3 or more on a 20-sided dice?
Write your answer in percent format but do not include the symbol.
Write and round your answer to the nearest hundredth
Answer: 20.77%
Step-by-step explanation:
There are 52 cards in a standard deck. Out of these cards, there are 12 face cards. Thus, the probability of drawing a face is 12/52.
On a 20-sided dice, there are 20 options of numbers to roll. Out of these 20 numbers, 18 of the numbers are greater than or equal to 3, making the probability 18/20, or 9/10.
To find the probability of two events, you need to multiply the probabilities together. Thus, you need to multiply 12/52 by 9/10.
(12/52) * (9/10) = 27/130
27/130 is about equal to 0.2077, or a 20.77% probability.
State the equation of the line which has the y-intercept :
a) 2 and slope 7 .
b) -1 and is parallel to y= 5x - 7.
c) 2 and is inclined at 45 degree to the x- axis.
Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?
Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
The required measure of side a of the rectangular prism is a = 9.3 meters.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3
Since the negative measure of length can be neglected.
a = 9.3 = b
Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.
Learn more about the surface area here: https://brainly.com/question/2835293
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3kg of meat costs £54
Nina buys 2 kg of the meat.
Work out how much Nina pays
Answer:
£36
Step-by-step explanation:
3kg = 54
÷ 3
1kg = 18
18 × 2 = 36
hope this helps...