Answer:
{a,c,d,b} = {49/16,29/16,2,-31/48}
Step-by-step explanation:
[1] 3a + c - 4d = 3
[2] -4a + 4c + d = -3
[3] -a - 2d + 3b = -9
[4] - d = -2
// Solve equation [4] for the variable d
[4] d = 2
// Plug this in for variable d in equation [1]
[1] 3a + c - 4•(2) = 3
[1] 3a + c = 11
// Plug this in for variable d in equation [2]
[2] -4a + 4c + (2) = -3
[2] -4a + 4c = -5
// Plug this in for variable d in equation [3]
[3] -a - 2•(2) + 3b = -9
[3] -a + 3b = -5
// Solve equation [1] for the variable c
[1] c = -3a + 11
// Plug this in for variable c in equation [2]
[2] -4a + 4•(-3a+11) = -5
[2] -16a = -49
// Solve equation [2] for the variable a
[2] 16a = 49
[2] a = 49/16
// Plug this in for variable a in equation [3]
[3] -(49/16) + 3b = -5
[3] 3b = -31/16
[3] 48b = -31
// Solve equation [3] for the variable b
[3] 48b = - 31
[3] b = - 31/48
// By now we know this much :
a = 49/16
c = -3a+11
d = 2
b = -31/48
// Use the a value to solve for c
c = -3(49/16)+11 = 29/16
Step-by-step explanation:
so bd/a+c= 3×(-4)/-2 +(-12)= -12/-2+(-12)=6+(-12)=6-12=-6
so the answer is -6
At a craft fair, Emily sold paper flowers for $0.55 each. She sold
48 flowers. How much money did she make?
Answer:
$26.40
Step-by-step explanation:
Answer:
$26.40
Step-by-step explanation:
1 paper flower=$0.55
Therefore,48 paper flowers=?
cross multiplying,we have 0.55×48=$26.40
0.95929409956639. rational or irrational
Answer:yes
Step-by-step explanation:
HELPPPPPP plsssssssssss
Answer:
270°
Step-by-step explanation:
∠ PQR = 90° ( angle in a semicircle )
PRST is a cyclic quadrilateral
The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°
Then
∠ PRS + ∠ PTS = 180°
∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°
what is the midpoint of PQ
Answer is (5,7)
Step-by-step explanation:
In the given image, move two points from P to right and move two points left from Q, in such a way that the gap between the two squares of P and Q are equal.
Then from the middle point of the line, mark down to the X-axis where you will get 5. Likewise, from the middle point, mark left to the Y-axis.
Any doubts, please refer the attached image.
So, you will get the answer as (5,7) .
PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT
Jessica plants a seed 3 1/2
inches below the ground. The plant grows from there 15 3/4
inches. What is the height of the plant above the ground?
12 1/4 inches
19 3/4 inches
18 2/3 inches
13 1/2 inches
Answer:
49/4 inches
Step-by-step explanation:
Inches below ground= 3 1/2 inches
Plant's full height=15 3/4 inches
Height above ground = 15 3/4 inches -3 1/2 inches
63/4 - 7/2
63-14/4
49/4 inches
Answer:
[tex]12^1/_4[/tex] [tex]inches[/tex]
Step-by-step explanation:
We can make this an equation
[tex]-3 ^1/_{2}+15^3/_4[/tex]
We can make them the same denominator by looking for the GCF which we get as 2
Now we have
[tex]-3 ^2/_{4}+15^3/_4[/tex]
Do the equation and we get
[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer
Question 3
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
There are 20 marbles in a bag: 8 purple, 5 gold, and 7 silver.
Part A: What is the probability that you select a silver marble? Reduce fractions if possible.
O
A) 20
O B)
O
c)
O D) 70
home within our geographic footprint.
Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.
Step-by-step explanation:
the total is 8+5+7=20
the probabliliy that its gonna be 7/20
this fraction cannot be reduced
HELP ASAP ILL GIVE BRAINLIST
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answer:
61°
Step-by-step explanation:
We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.
∠PMR = 90° -29° = 61°
WILL MARK AS BRAINLIEST
Answer:
18.06
Step-by-step explanation:
7+6=13
34+38=72
13 IS 18.06 PERCENT OUT OF 72.
Answer:
Percentanges are factors so
41 Women + 44 Men = 85 shoppers
7 Women + 6 Men = 13 Online shoppers
13 out of 85 13/85 = 15% of total people surveyed shop online
Step-by-step explanation:
Hope this helps! BH
What is the slope of the line that passes through the points (3, 6) and (1, 2)
Answer:
2
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-3)}[/tex]=[tex]\frac{-4}{-2}[/tex]=2
Please help me asap
DO NOT USE LINKS
This is what I need the answer for please help much appreciated if done so
Answer:
12a^9b^7
Step-by-step explanation:
Answer
12a^9b^7
Step-by-step explanation:
4x3=12
add the indices
3+6=9
2+5=7
12a^9b^7
PLS HELP WILL MARK BRAINLIEST! ANSWER W/ SOLUTION
[tex] = \: \: \: c = 0 \\ \\ hope \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]
what is the answer???????
Answer:
1.12+8.13-3.5=5.75
2.6×300=780
Answer:
1) 5.75
2) 780
Step-by-step explanation:
1.12+8.13=9.25
9.25-3.5=5.75
Multiple 26x300, then move two decimal places to the right
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
Write the prime factorization of 315.
315 =
3 exponent 2 × 5 exponent 1 × 7 exponent 1
Ms Castillo took 40 minutes to drive from Town A to Town B at an average speed of 60 miles per hour. (a) Find the distance between A and B. (b) If she increased her speed by 12 mph, how long would she take to travel the same distance?
Answer:
40 miles, 2000seconds or 33minutes and 20 seconds
Step-by-step explanation:
a. multiple time by miles/hour -> 40*60/60=40 so 40 miles
b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds
ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is
Answer: y = -66x + 201
Step-by-step explanation:
Help please (((((((((((((((
Answer:
The side ST is 10. If the quadrilateral Q is reflected, and the side is 10, the others should also have 10 as the side for ST.
Practice: Find the value of the variable(s) in each figure explain your reasoning.
Answer:
I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.
Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25
Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25
Bottom row in both cases, the two angles sum up to 90°
Left one: 4x-20+2x-16 = 90 so x = 21
Right one: 2x-30 +x+15= 90 so x = 35
What happens to the decimal point when we multiply a whole number by 100?
Answer:
Step-by-step explanation:
To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right
how do you subtract fractions with like numerators
Answer:
Step-by-step explanation:
To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.
*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
y = - 1/3x - 5Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
The slope:
m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3The y - intercept is also visible on the graph (0, -5):
b = -5The line is:
y = - 1/3x - 5Answer:
[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the graph to find the equation of the line we must first find the slope
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Using the points (-6 , -3) and (6,-7) we have
[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]
Next we use the slope that has been found and one of the points to find the equation of the line
To find an equation of a line when given the slope and a point we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question using slope -1/3 and point (-6,3) we have
[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]
The equation of the line in slope-intercept form is
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you
find the area of the shape pls help
Answer:
54.28 cm²
Step-by-step explanation:
Area rectangle = 10 x 4 = 40 cm²
Area semicircle = 1/2(π(2²)) = 1/2(π(4)) = 2π ≈ 6.28 cm²
Area triangle = 1/2(4 x (10-14)) = 1/2( 4 x 4) = 2 x 4 = 8 cm²
Total Area = 40 cm² + 6.28 cm² + 8 cm² = 54.28 cm²
-Chetan K
PLEASEEEEE HELP…
In Exploration 3.1.2 you went through a procedure that helped you see how a formula
with n compounds per year relates to the formula for compounding continuously. Select
the appropriate answers to model what you did in the exploration.
Annual growth Rate
A (t) = P(1 + r)
n compounds per year
nt
A () = (1+ a)
a =
[Select]
n
let z = -
7
A (t) = P(1 + [b])"
b = (Select)
let n = ar
Ict
C =
[Select)
A (0) P(1)
110) - P{(x - 2)
+
2
The growth amount is given by the growth rate the duration of the growth
and how the rate is applied to each period.
The correct selections are;
a = n[tex]\displaystyle b = \frac{1}{x}[/tex]c = x·r[tex]\displaystyle \lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1[/tex]Reasons:
First part;
The given formula for the annual growth rate is; [tex]A(t) = \mathbf{P \cdot \left(1 + r)^t}[/tex]
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{[a]} \right)^{n \cdot t}}[/tex]
Where;
P = The principal
r = The rate per period
n = The number of compounding per period
t = The number of periods
In the above formula, we have that the number of compounding per periods = n
Therefore;
a = nWhich gives the fraction of the interest applied to each period as [tex]\displaystyle \frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Second part;
When [tex]x = \displaystyle \frac{n}{r}[/tex], we have; [tex]A(t) = \mathbf{P \cdot \left(1 + [b])^{n \cdot t}}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}[/tex]
Therefore;
[tex]\displaystyle b=\frac{r}{n}[/tex]
[tex]\displaystyle \frac{1}{x} = \frac{1}{\left(\frac{n}{r} \right)} =\frac{r}{n}[/tex]
Which gives;
[tex]\displaystyle b=\frac{r}{n} = \mathbf{\frac{1}{x}}[/tex]
[tex]\displaystyle \underline{ b = \frac{1}{x} }[/tex]
Third part;
Where, n = x·r, and [tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t}}[/tex]
We have;
[tex]\displaystyle x= \frac{n}{r}[/tex]
[tex]\displaystyle \frac{1}{x}=\frac{r}{n}[/tex]
[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t} = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{[c] \cdot t}}[/tex]
Which gives;
c = n = x·r
c = x·rFourth part;
If x is a really large number, we have; [tex]\displaystyle \mathbf{\left(1 + \frac{1}{x} \right)^x}[/tex]
Where x approaches ∞, we have;
[tex]\displaystyle \frac{1}{\infty}=0[/tex]
Which gives;
[tex]\displaystyle \displaystyle \left(1 + \frac{1}{x} \right)^x= \left(1 + \frac{1}{\infty} \right)^\infty = \displaystyle \left(1 + 0\right)^\infty = 1 ^\infty = 1[/tex]
[tex]\displaystyle \underline{\lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1}[/tex]Learn more about growth rate formula here:
https://brainly.com/question/2284816
A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, A(5,7) and B(9,-1).
Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (5,7) and going to (9,-1):
Rise = (-1 -7) = -8
Run = (9-5) = 4
Rise/Run (slope) = -8/4 or -2
The equation becomes y = -2x + b
We can find b by entering either of the two given points and solving for b. I'll pick (5,7):
y = -2x + b
7 = (-2)*(5) + b
7 = -10 + b
b = 17
The equation is y = -2x + 17
Check this with a DESMOS graph (attached).
The equation of line AB is y= -2x +17
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points A(5, 7) and B(9, -1)
So, slope for the equation is
sloe= (-1 - 7)/ (9- 5)
slope = -8/ 4
slope= -2
Now, using slope- intercept form
y - b = m ( x- a)
y - 7= -2( x - 5)
y- 7 = -2x + 10
y= -2x + 17
Hence, the equation of line AB is y= -2x +17
Learn more about slope here:
https://brainly.com/question/3605446
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Keshawn's bank account had a balance of $40.51 last month. This month he won a cash prize of $73.95 for winning a competition. How much money does Keshawn have at the end of the month if there are no other transactions?
Answer:
$114.46
Step-by-step explanation:
40.51+73.95=114.46
The relationship between the number of gallons of water in a tank and number of hours is proportional. One point on the line modeling the relationship is (2,7200). Find the slope of the line, and draw a graph. Use the graph to find how long it will take to fill the tank if it holds 72,000 gallons.
The slope of the line is __
Answer:
Step-by-step explanation:
I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.
At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.
Graph done with paint, obviously not to scale.
the tens digit was 1. The ones digit was 6. The number was between 600 and 700 what was the number
Answer:
616
Step-by-step explanation: hope it helps :)
Answer:665,830 my answer
Step-by-step explanation:
so. what have you got so far?
How can a digit have no value?
A student earned $175 last week. She worked 35 hours. How much did she earn per hour?
Answer:
5$
Step-by-step explanation:
5 divided by 175 is 35
5x35 is 175
Help me plzzzz!! It is math and I have to walk the number line. And i don't know how to do it!
Answer:
1 is 13
2 is 13
3 is -7
4 is 7
Step-by-step explanation:
The slope of the line that passes through the points (10,8) and (4,12)
Answer:2/3
Step-by-step explanation:
10-4=6
12-8=4
4/6=2/3