Answer: a=-2, b=7/2
Step-by-step explanation:
To solve for a and b, we can use the elimination method for these system of equations.
3a+2b=1
a+2b=5
Since there is a 2b in both equations, we can subtrac the 2 equations.
2a=-4
a=-2
Now that we have found a, we can plug it into ay of the equations to find b.
-2+2b=5
2b=7
b=7/2
A man has three white shirts,two blue shirts abd five red shirts.He picks one at random.What is the probability of white.Show workings
Answer: 30% or 3/10.
Step-by-step explanation: To find the probablilty of getting a white shirt, we first have to find the total number of shirts: 3 white + 2 blue + 5 red = 10 total. Out of the ten total, there are 3 white shirts. The probability of getting a white shirt is 3/10, because out of the 10 total shirts, 3 shirts are white.
Answer:
3/10Step-by-step explanation:
[tex]Probability = \frac{Events}{Possible- outcomes} \\Total -no -of -shirts=3+2+5=10\\Event = 3 \\Probability = \frac{3}{10}[/tex]
I hope i am correct
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below. 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction = StartFraction 130 over 30 EndFraction = 4 and one-third When she checked the answer by estimating, it did not make sense. What error did Janice make? Janice converted a mixed number to the wrong improper fraction. Janice added the numerators and denominators instead of multiplying. Janice did not change the division problem to multiplication. Janice did not convert the improper fraction to a mixed number correctly in the answer.
Answer:
Janice converted a mixed number to the wrong improper fraction.
Step-by-step explanation:
1 batch of stew uses 1 and 2/3 lb meat
Total amount of meat used - 10 and 5/6 lb
x = number of stew batches made
To get number of batches made, divide total meat used by the amount of meat each batch requires:
x = 10 5/6 ÷ 1 2/3
convert mixed fractions to improper fractions:
x = (10x6+5)/6 ÷ (1x3+2)/3
x = 65/6 ÷ 5/3
The fraction in bold numbers is where Janice got it wrong. She changed 1 2/3 to 5/2. (From the question: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves). 1 2/3 converted to an improper fraction is 5/3. From this point going forward, the calculations are wrong.
Answer:
A
Step-by-step explanation:
Stephanie just redecorated her bedroom. She wants to paint but needa to know the surface area of the door to see if she has enough?
Answer:
The surface area of door is 33 680 cm².
Step-by-step explanation:
Given that the surface area of a cuboid which is the 3D of rectangle is :
[tex]s.a = 2(l \times w) + 2(l \times h) + 2(w \times h)[/tex]
[tex]let \: l = 80 \\ let \: w = 3 \\ let \: h = 200[/tex]
[tex]s.a = 2(80 \times 3) + 2(80 \times 200) + 2(3 \times 200)[/tex]
[tex]s.a = 2(240) + 2(16000) + 2(600)[/tex]
[tex]s.a = 480 + 32000 + 1200[/tex]
[tex]s.a = 33680 \: {cm}^{2} [/tex]
7. What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes
from
(a) 6 to 12
(b) 5 to 8
hi there if you are there
please reply it is a very urgent assignment that I have to send it by today .
can anyone help me solve this using exponent rules
(5x4y3)(-2x5y)
Answer:
[tex]-10x^9y^4[/tex]
Step-by-step explanation:
Answer:
-10x9y4
Step-by-step explanation:
When multiplying exponents it's like adding nothing serious. Hope this helps! Plz mark brainliest!!
There are between 24 and 40 students in a class,
The ratio of boys to girls is 4:7
How many students are in the class?
Answer:
There are 33 students
Step-by-step explanation:
Because 7:4 should be in multiple of 11
Mia is standing 210 yd from a radio tower. The angle of elevation from where she is standing on the ground to the top of the tower is 11°. How tall is the radio tower? Round the final answer to the nearest tenth. Enter your answer in the box.
Answer:
40.8
Step-by-step explanation:
Just took the test
Answer:
40.8 yd
Step-by-step explanation:
just took the test too! :D
have a miraculous day!! <3
What is the decimal multiplier to decrease by 2.7%?
Answer:
0.027
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
Triangle ABC is located at A (−2, 2), B (−2, 4), and C (0, 0). The triangle is then transformed using the rule (x+3, y− 2) to form the image A'B'C'. What are the new coordinates of A', B', and C'?
Answer:
In this problem, we have three vertices, namely:
A(-2,2) , B(-2,4) , C(0,0)
Our transformation rule is (x+3,y-2) and this rule forms the image A'B'C'. So:
Step-by-step explanation:
A'=(-2+3,2-2)=(1,0)
B'=(-2+3,4-2)=(1,2)
C'=(0+3,0-2)=(3,-2)
Taking a look in the First Figure, we can see the two triangles. The red one is the triangle ABC and the blue one is A'B'C'. In the Second Figure, the corresponding vertices have been connected with line segments, as indicated the green lines. The characteristics of those three lines are two, namely:
They are parallel.
They have the same length.
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
x = StartFraction negative 4 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
x = –7 and x = –2
x = –1 and x = 4
Answer:
x = -7 ±√5 /2
That is;
x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
Step-by-step explanation:
To find the solutions to the equation, we will follow the steps below
(2x + 3)² + 8(2x + 3) + 11 = 0 --------------------------------------------------------------(1)
let u = 2x + 3
we will replace 2x+ 3 by u in equation (1)
u² + 8u + 11 = 0 -----------------------------------------------------------------------------(2)
we will solve equation (2) using the formula method
a=1 b=8 and c=11
u = -b ± √b² - 4ac /2a
u = -8 ±√(-8)² - 4(1)(11) /2(1)
u = -8 ±√64 - 44 /2
u = -8 ±√20 /2
u = -8/2 ± √20/2
u= -4 ± √20/2
u= -4 ± √5×4 /2
u= -4 ± 2√5 /2
u= -4 ± √5 ---------------------------------------------------------------------------(30
but u = 2x + 3
Substitute u =2x+3 in equation (3)
2x + 3 = -4 ± √5
subtract 3 from both-side of the equation
2x + 3-3 = -4 -3 ± √5
2x = -7±√5
Divide both-side of the equation by 2
2x/2 = -7 ±√5 /2
x = -7 ±√5 /2
Answer:
the answer is b
Step-by-step explanation:
i took the test
The measure of angle 3 is 42°.
What is the measure of angle 1 in degrees?
Answer:
<1 = 48
Step-by-step explanation:
<1 + <2 + <3 = 180 since they form a line
<1 + 90+ 42 =180
Combine like terms
<1 + 132 =180
Subtract 132 from each side
<1 +132-132 =180-132
<1 = 48
Answer:
48 is the answer
Step-by-step explanation:
At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday? ______ customers on Saturday (Write the number only***)
Answer:
126
Step-by-step explanation:
The probability is 90/500 = 18%
So, from 700 customers,
700 * 18% = 700 * 18/100 = 126
Therefore, 126 customers will be selected on saturday.
A=4x/t-p make x the subject
Answer:
x = (A t)/4 + (p t)/4
Step-by-step explanation:
Solve for x:
A = (4 x)/t - p
A = (4 x)/t - p is equivalent to (4 x)/t - p = A:
(4 x)/t - p = A
Add p to both sides:
(4 x)/t = A + p
Multiply both sides by t/4:
Answer: x = (A t)/4 + (p t)/4
Find the volume of the pyramid below.
Answer: 400 units
Step-by-step explanation:
Volume=1/3a^2h
=1/3(10)^2(12)
=400
The correct answer is 400. I had the same question on a test I took not to long ago.
What the answer is for that question
Answer:
Step-by-step explanation:
Multiplication property
if x=y
then x*z=y*z
Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7
Answer:
a. y = 8x + 7
b. 8y = -x-74
Step-by-step explanation:
Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point
Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope
Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8
Now, the slope of our new line is also 8
We now make use of the point slope method to write the equation
Mathematically the point slope method is;
y-y1 = m(x-x1)
where our (x1,y1) = (-2,-9)
y-(-9) = 8(x -(-2))
y + 9 = 8(x + 2)
y + 9 = 8x + 16
y = 8x + 16-9
y = 8x + 7
For the second line, it is perpendicular to y = 8x + 7
Here too, we have the slope as 8
Now since they are perpendicular, it means that the product of the slopes is equal to -1
m1 * m2 = -1
8 * m2 = -1
m2 = -1/8
Now;
y-y1 = m(x-x1)
our point still remains same (-2,-9)
y-(-9) = -1/8 (x -(-2))
y + 9 = -1/8(x + 2)
8(y + 9) = -1(x + 2)
8y + 72 = -x -2
8y = -x -2-72
8y = -x-74
C
11cm
11cm
B
A
8cm
Construct the isosceles triangle ABC
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form. .
Enter the corror answer
Answer:
Y=1/2x-3
Step-by-step explanation:
Down 3 at the y-axis and up 1 right 2.
If x = a cosθ and y = b sinθ , find second derivative
I'm guessing the second derivative is for y with respect to x, i.e.
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}[/tex]
Compute the first derivative. By the chain rule,
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]
We have
[tex]y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta[/tex]
[tex]x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta[/tex]
and so
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta[/tex]
Now compute the second derivative. Notice that [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] is a function of [tex]\theta[/tex]; so denote it by [tex]f(\theta)[/tex]. Then
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}[/tex]
By the chain rule,
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]
We have
[tex]f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta[/tex]
and so the second derivative is
[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta[/tex]
How to find the length when the perimeter and width is given
Answer:
You divide the perimeter by the width to get the length
Step-by-step explanation:
Solve the equation 2(3x + 7) = -22.
O A.
x = 6
B.
x = -6
OC.
x=2
OD.
X = -2
Answer:
x=−6
Step-by-step explanation:
Answer:
C. x = -6
Step-by-step explanation:
[tex]2(3x + 7) = -22.\\Step -1: Multiply-through-by-two\\6x + 14= -22\\Collect -like-terms.\\6x= -22-14\\6x =-36\\Divide-both-sides-of-the-equation-by 6\\ = x= -6[/tex]
What is the solution to the inequality
+4 50?
(♾, -28)
(-♾, -28]
(28,♾)
[28,♾)
Answer:
[tex]4 - 22 - 115[/tex]
answer is yes...........
what are the possible values of x in 8^2+4x = -1
Answer:
So we can simplify this to
36+4x=-1
We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is
x = -37/4 = -9.25.
So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.
Answer: -9.25this is easy boos 3+9+10=
Answer:
22
Step-by-step explanation:
1: 3+9 = 12
2: + 10 = 22
The correct answer for this question is 22.
Please mark brainliest
Hope this helps.
A data set has the following six data points: 11, 3, x, x+2, 5, 10. If the median if this data set is 7, then what is the possible value of x?
Answer:
x=6
Step-by-step explanation:
The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers11, 3, x, x+2, 5, 10
in ascending order the data points:
3, 5, 10, 11, x, x+2, then median >7x, x+2, 3, 5, 10, 11 then median <73, 5, x, x+2, 10, 11 then median is (x+x+2)/2=7 ⇒ x+1=7 ⇒ x=6Five times a number is divided by 7 more than the number. If the result is 2 then what was the original number?
the number=A
5xA/7+A=2
5A/7 +A =2
5A/7=2-A/1
7(2-A)=1(5A)
14-7A=5A
14=5A+7A
14/12=12A/12
A=14/12
A=7/6
Can anyone please help me it’s only one question please help me
Answer:
A =7.02 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases
A = 1/2 ( 4.5+6.3) * 1.3
A = 1/2(10.8) * 1.3
A =7.02 m^2
Been stuck on this for a while
Answer:
-x^3 -3x+2
Step-by-step explanation:
f(x) = -3x +2
g(x) = x^3
(f-g)(x) = -3x +2 - x^3
= -x^3 -3x+2
slove for x.
3x+15=56
Answer:
13.7
Step-by-step explanation:
3x=41
x is around 13.7
Answer:
x = [tex]\frac{41}{3}[/tex]
x ≈ 13.7
Step-by-step explanation:
[tex]3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}[/tex]
41/3 = 13.66666666....
13.666... ≈ 13.7
Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. Which of the three runners has the fastest pace?
Answer:
Runner 2 has the fastest pace
Step-by-step explanation:
The first one we need to find the slope
m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile
The second is 8.5 minutes per mile
The third we need to find the slope
m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile