Answer:
-1/2
Step-by-step explanation:
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
another easy question pls answer
Answer:
Sometimes
Step-by-step explanation:
A linear pair are angles that are adjacent to each other, with one shared side.
Complementary angles can be anywhere but they have to be coplanar(have to share the same plane)
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At their last babysitting gig, Zainab made $44 for 8 hours of work and Keziah made $47.25 in 9 hours. Each girl charges a different hourly rate. For a 10 hour job, which girl will make more money? How much more?
Answers:
Zainab made more moneyShe made $2.50 more=======================================================
Explanation:
To find the hourly rate, we divide the money made over the number of hours.
Zainab's hourly rate = 44/8 = $5.50 per hourKeziah's hourly rate = 47.25/9 = $5.25 per hourThen we'll multiply each of these results by 10 to figure out how much they made over the 10 hours
Zainab: 5.50*10 = 55 dollarsKeziah: 5.25*10 = 52.50 dollarsWe see that Zainab made more money and she made 55-52.5 = 2.50 dollars more.
math test please help, thank you if you do.
Answer: y=-4/3x+(-3)
Step-by-step explanation: y= (slope)x+(y-intercept)
y(4 - 2x) = 12 solve for y
Answer:
[tex]y= \displaystyle\frac{6}{2 - x}[/tex]
Step-by-step explanation:
Hi there!
[tex]y(4 - 2x) = 12[/tex]
Divide both sides by 4-2x:
[tex]y= \displaystyle\frac{12}{4 - 2x}[/tex]
Simplify the fraction:
[tex]y= \displaystyle\frac{6}{2 - x}[/tex]
I hope this helps!
The temperature in Celsius would be,
First derisive the equation for C
[tex]\\ \sf\longmapsto F=\dfrac{9}{5}C+32[/tex]
[tex]\\ \sf\longmapsto C+32=\dfrac{5}{9}F[/tex]
[tex]\\ \sf\longmapsto C=\dfrac{5}{9}F-32[/tex]
F=101F[tex]\\ \sf\longmapsto C=\dfrac{5}{9}101-32[/tex]
[tex]\\ \sf\longmapsto C=\dfrac{505}{9}-32[/tex]
[tex]\\ \sf\longmapsto C=56.1-32[/tex]
[tex]\\ \sf\longmapsto C=24.1°C[/tex]
If the volume of a cube is 1,728 cubic inches, find the side length of each of its sides.
Recall that the volume of a cube equals (side)^3. We can create an equation to model this.
1728 in^3 = (side)^3
We can get the cube root of both sides.
12 in = side
Each side is 12 inches long.
10. In a 2 hour Mathematics paper, there are
20 questions to be answered by Yao. After
1 hour he had answered 5 questions.
b) What fraction of the time had gone?
Answer:
1/2
Step-by-step explanation:
1 hour=60 minutes
2 hours=120 minutes
60/120=1/2
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After 1 hour, Yao had completed 25% (1/4) of the 2-hour Mathematics paper.
In order to understand the fraction of time Yao had spent on the Mathematics paper after 1 hour, let's break down the problem. Yao was given a 2-hour Mathematics paper to complete, and he answered 5 questions in the first hour.
Now, let's calculate the fraction of time that had passed. To do this, we can set up a ratio of the time Yao had spent to the total time available. The time Yao spent is 1 hour, and the total time available is 2 hours. So the fraction of time that had gone can be represented as:
= Time spent / Total time
= 1 hour / 2 hours
= 1/2
Therefore, after 1 hour, Yao had completed half of the allotted time. However, we are asked to express this fraction in terms of questions answered. Yao had answered 5 questions out of a total of 20 questions.
To express the fraction of time in terms of questions answered, we can set up another ratio. The questions Yao answered is 5, and the total number of questions is 20. So the fraction of time that had gone can be represented as:
= Questions answered / Total questions
= 5 questions / 20 questions
= 1/4
Hence, after 1 hour, Yao had completed 1/4 of the total questions in the Mathematics paper. This means he still had 3/4 (or 75%) of the questions to complete in the remaining hour.
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John’s bank is overdrawn. After he makes a $120 deposit, John sees that his account still is overdrawn by $75. So what was John’s balance before making his deposit?
Answer:
John's balance before making the deposit is -$195.
Step-by-step explanation:
Let us assume that John's bank balance is $X.
Now,
John makes a deposit of $120 and still, he is overdrawn by $75.
Therefore,
[tex]\begin{aligned}\rm{\$X} + \rm{\$120} &= -\rm{\$75}\\X&=-\$195\end{aligned}[/tex]
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The vertices of a triangle are P(-4,-3), Q(-2,3), and R(7,3). Name the vertices of the image reflected across the line y = x. * Your answer ansler
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
P (- 4, - 3 ) → P' (- 3, - 4 )
Q (- 2, 3 ) → Q' (3, - 2 )
R (7, 3 ) → R' (3, 7 )
how do you solve x/4+7=-2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
How do you solve x/4+7 = -2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]
Multiply both sides of the equation by 4.[tex] \large \sf \: x+28=-8 [/tex]
Subtract 28 from both sides.[tex] \large \sf \: x=-8-28 [/tex]
Subtract 28 from -8 to get -36.[tex] \large \boxed{ \bf \: x=-36 }[/tex]
what is the anwser to this on the number line 7 - 6y > 19
Answer:
y < -2
Step-by-step explanation:
7 - 6y > 19
Subtract 7 from each side
7-7 - 6y > 19-7
-6y > 12
Divide each side by -6. remembering to flip the inequality
-6y/-6 < 12/-6
y < -2
Which factor pair does not belong to 36
Answer:
36 is a composite number as it has factors other than 1 and itself. Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2). 1 is a factor of every number.
Translate the following verbal expressions into
algebraic expressions:
16 increased by 4 times a number
Three times the difference of x and 8
3 less than the product of 5 and y
Answer:
16 + 4n
3(x - 8)
(5 × y) - 3
Step-by-step explanation:
16 increased by 4 times a number:
16 + 4n
Three times the difference of x and 8:
3(x - 8)
3 less than the product of 5 and y:
(5 × y) - 3
Angle A is three times the size of angle B.
The sum of the angle measures is 128 degrees.
What is the measure of angle A?
O 32 degrees
O 90 degrees
O 96 degrees
O 30 degrees
First, let's declare our variables
B = x+2
A = 3(x+2)
Now, let's create our expression.
A + B = 128
Plug in the values for A and B
x+2 + 3(x+2) = 128
We need to solve for x. Start off by simplifying the left side.
x+2 + 3x + 6 = 128
Combine like terms.
4x + 8 = 128
Subtract 8 from both sides.
4x = 120
Divide both sides by 4
x = 30
B = x+2 = 30 + 2 = 32 degrees
A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees
Perform the indicated operations. Write the answer in standard form, a+bi.
-5-7i / 13+4i
Answer:
[tex]thank \: you[/tex]
Number 4 and 5 I don’t know how to do them
Jerry is painting a fence made of 4 wooden planks. He has 4 different colours to choose from. He randomly chooses a colour for each plank. What is the probability that all 4 planks are not the same colour?
someone help with this 9+9+6 - 3
Answer:
es 21
Step-by-step explanation:
One of the two equal factors of a number is a _______?
Answer:
A square root
Step-by-step explanation:
A square root is one of two equal factors of a number.
A bag contains 8 purple beads 2 blue beads and 2 pink beads. The probability of randomly drawing a pink beads is 1/6 . What is the probability of not drawing a pink bead
The probability of. Or picking pink would be 1 - the probability of picking pink:
1 - 1/6 = 5/6
Answer: 5/6
Pls help and no links
Multi-Step Two friends compare the amount of change they
have in their pockets. Ashley has 12 nickels, 2 dimes, and
4 quarters. Beto has 10 nickels, 4 dimes, and 3 quarters.
Who has more money?
Answer:
Ashley
Step-by-step explanation:
Ashley:
12n (n=5) = 60+2u (u=10)=80
4 quarters equal a dollar
$1.80
Beto:
10n (n=5)= 50+ 4u (u=10) = 90
3 quarters equal .75
$1.65
Superman bought two leggings for $25.80 each at KryptonCromie. How much did he spend?
Answer:
51.6
Step-by-step explanation:
$25.80 + $25.80 =
OR
25.80 x 2.
Answer $51.6
Step-by-step explanation:
because 25.80+25.80 is...$51.6
Need help with number 5 ASAP.
Answer:
A) ahead 1 space
Step-by-step explanation:
2-3 = -1
-1-2 = -3
-3+4= 1
1/#/test player
O
100%
For a party, Svetlana brought 4 packages of cookies with 16 cookies in each package. She and her friends ate all but 6 cookies,
Which equation can be used to find C, the total number of cookies they ate?
O A, C = (4x 16) + 6
OB, C = (4 + 16) - 6
OC, C = (6 x 16) - 4
OD. C = (4x 16) - 6
O E C = (6 + 16) + 4
Answer:
Answer is D
C = (4 x 16) - 6
Step-by-step explanation:
There is 4 packages. Packages can hold many cookies in this case 16 cookies can be placed inside 1 package.
The total number of cookies can be calculated:
16 x 4 (4 packages altogether with 16 cookies in each package)
They did not eat 6 cookies so 6 cookies are leftover or remaining:
(16 x 4) - 6 (subtract 6 because they did not eat it, we want what they already ate - takeaway 6)
Basically means: The Total minus The Remaining
(The Total - The Remaining)
simplify 7m+3n - (11-2m+n+5) -m+3n+8
7 m + 3 and -(- 2 m+11+5)-m+3n+8
7m+3n-(-2m+n+10)-m+3n+8
7m+3n+2m-n-10-m+3n+8
7m+2m-m+3n-n+3n-16+8
Answer=8m+5n-8
For a project in her Geometry class, Madelyn uses a mirror on the ground to measure
the height of her school's flagpole. She walks a distance of 8.75 meters from her
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the flagpole clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.
1.65 m
1.
1.7 m
-8.75 m
An image is always formed at the back of a mirror. Thus, the appropriate option is D. -8.75 m. The flagpole is 8.75 m tall.
Let the angle of depression from Madelyn's point of view be represented by θ. Then applying the required trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{1.65}{1.7}[/tex]
Tan θ = 0.9706
θ = [tex]Tan^{-1}[/tex] 0.9706
= [tex]44.2^{o}[/tex]
θ = [tex]44.2^{o}[/tex]
Let the height of the flag be represented by h. And for a given mirror, the angle of incidence is equal to that of reflection. Then;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{h}{8.75}[/tex]
0.9706 = [tex]\frac{h}{8.75}[/tex]
h = 0.9706 x 8.75
= 8.49275
h = 8.5 m
Since the image is formed at the back of the mirror, then the flagpole is 8.5 m.
Therefore the appropriate answer is option D. -8.75 m
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Answer:
10.77
Step-by-step explanation:
i did it
Which expression is equivalent to 3x(bx+10−(x2−5x+c)
A
(3b−1)x2−5x+10+c
B
−x2+(3b+35)x−c
C
−3bx2+25x+c
D
(3b−1)x2+35x−c
Answer:
Step-by-step explanation:
For her car, Joan paid $99.01 on speakers and $98.32 on new tires with
two $100 bills. How much did Joan get in change?
200-(99.01+98.32)
200-197.33
2.67 left in change
Hello :D
2 x $100 = $200
$99.01 + $98.32 = $197.33
$200 - $197.33 = $2.67
The answer is $2.67. I hope this helps :)