Answer:
a and bwhich step did he make his first error simplifying the expression?
A
Step
express fractions below having equal denominators: a) 2/5, 7/10, 9/40. b) 17/25, 23/40, 67/120
Answer:
Step-by-step explanation:
a) 5 = 5
10 = 2 * 5
40 = 2 * 2 * 2 *5
Least common denominator = 2*2*2*5=40
Now find equal fractions with denominator 40
[tex]\frac{2}{5}=\frac{2*8}{5*8}=\frac{16}{40}\\\\\frac{7}{10}=\frac{7*4}{10*4}=\frac{28}{40}\\\\\frac{9}{40}[/tex]
Fractions with equal denominators:
[tex]\frac{16}{40} ; \frac{28}{40} ; \frac{9}{40}[/tex]
b) 25 = 5* 5
40 = 2 * 2 * 2 * 5
120 = 2 * 2 * 2 * 3 * 5
Least common denominator = 8*25*3=600
[tex]\frac{17}{25}=\frac{17*24}{25*24}=\frac{408}{600}\\\\\frac{23}{40}=\frac{23*15}{40*15}=\frac{345}{600}\\\\\frac{67}{120}=\frac{67*5}{120*5}=\frac{335}{600}\\\\[/tex]
Jeremy read that the population of his town increased by 10% in the 1980s,and then increased by another 10% in the 1990s.What is the population at the end of the 1990s?
Answer:1.21x
Step-by-step explanation:
Let the initial population was x
(1.1x)*1.1=1.21x
suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph?
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)
============================================
Explanation:
Use the slope and given point to find the y intercept
y = mx+b
8 = (-2/3)*(1) + b
8 = -2/3 + b
8 + 2/3 = b
24/3 + 2/3 = b
26/3 = b
b = 26/3
The equation of the line is y = (-2/3)x + 26/3
To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)
y = (-2/3)x + 26/3
y = (-2/3)*1 + 26/3
y = -2/3 + 26/3
y = (-2+26)/3
y = 24/3
y = 8
So that verifies we have the correct equation.
--------------
Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.
If we try x = 7, then,
y = (-2/3)x + 26/3
y = (-2/3)(7) + 26/3
y = -14/3 + 26/3
y = (-14+26)/3
y = 12/3
y = 4
This shows that (7,4) is on the line. Choice A is the answer
That rules out choice B.
----------------
If we tried x = -5, then,
y = (-2/3)x + 26/3
y = (-2/3)(-5) + 26/3
y = 10/3 + 26/3
y = 36/3
y = 12
meaning that (-5,12) is on the line. That rules out choices C and D.
Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.
4(x-5)=3x+7 how many solutions are there
Answer:
1
Step-by-step explanation:
4(x-5) = 3x+7
4x - 20 = 3x +7
4x - 3x =20 + 7
x=27
Answer:
27
Step-by-step explanation:
Pls help and give me right anwser
Answer:
Step-by-step explanation:
s+1+2s-1+90=180 degree(being linear pair)
3s+90=180
3s=180-90
s=90/3
s=30 degree
Answer:
s = 30
Step-by-step explanation:
the total angle is a straight angle that's composed of a right angle and 2 unknown angles.
straight angle = 180°right angle = 90°
(s + 1) + 90 + (2s- 1) = 180
s + 2s + 90 + 1 - 1 = 180
3s = 180 - 90
3s = 90
s = 90/ 3
s = 30
Please type up your word problem in the box below and then solve it in your notebook so that you have an answer key for your word problem ready for when you share it with the class to check their answers.
how deep is the ocean
Answer:
On average 2.3 miles deep or 12,144 feet
The max depth in the Pacific ocean has been recorded at 36,161 feet.
Pre-calc, image attached
Answer:
[tex]\lim_{x \to \(-1} f(x)=-2[/tex]
Step-by-step explanation:
In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:
So, if we plug in x=-1 for the left side limit, we get 2cos(πx) = 2cos(π(-1)) = 2cos(-π) = 2(-1) = -2Plugging in x=-1 for the right-side limit, we get 2/cos(πx) = 2/cos(π(-1)) = 2/cos(-π) = 2/(-1) = -2Since both the right-side and left-side limits are equal to each other, we can say that the limit of f(x) as x approaches -1 is -2, therefore the limit existsSee the attached graphCan you explain how you answered it thank you!
x=
y=
Answer:
x = 1.5 or 1 1/2
y = 8
Step-by-step explanation:
Solving for x:
2x + 1/2 y = 7
6x - 1/2y = 5
Add both equations:
2x + 1/2 y + 6x - 1/2y = 7 + 5
8x = 12
x = 1 1/2
Solving for y:
2x + 1/2y = 7
We know x, so lets input
2(1.5) + 1/2y = 7
3 + .5y = 7
0.5y = 4
y = 4*2
y = 8
Check with the other equation
6x - .5y = 5
6(1.5) - 0.5y = 5
9 - 0.5y = 5
0.5y = 9 - 5
0.5y = 4
y = 4 * 2
y = 8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Callum wins £300 in a raffle .
He gives 5% of the 300 to charity
He uses the rest to buy clothes .
Work out how much money he spent on clothes
Answer:
5/100 x 300=15
300-15=285
Hello there! Please answer this question for me please. Brainliest and 35 points!
What is the area of figure ABCD?
A
104 square inches
B
120 square inches
C
136 square inches
D
168 square inches
Answer:
That's a Trapezium
Area =½( A + B)x H
A and B are the top and bottom of the shape.
H is the height.
Substituting...
Area = ½(13+17)8
=120 Square Inches
Answer:
B. 120 in.²
Step-by-step explanation:
13 × 8 = 104 in.²
17 - 13 = 4
4 × 8 = 32
32 ÷ 2 = 16
16 in.² + 104 in.²
120 in.²
CAN SOMEONE PLEASE HELP ME AND SOLVE THE PROBLEM STEP BY STEP IF IT WAS DONE CORRECTLY I WIL PUT U AS BRANLIEST THANK YOU!!!
Answer: (5,3)
Step-by-step explanation:
y=x^2-10x+28
Complete the square.
y=(x-5)^2+3
Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.
a=1
h=5
k=3
Find the vertex (h, k).
(5, 3)
Using the graph, determine the
coordinates of the vertex of the parabola.
Y
10
9
8
6
5
4
3
2
1
X
-10 -9
-8
-7
-6
-5 -4 3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
twenty thousand and two
What is the solution to the equation 3(2x + 5) = 3x+4x?
Сра
XD0
X=4
X-5
X-15
Save and Exit
Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional $300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?
Answer:
f(x) = 8.14x + 300
Step-by-step explanation:
The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.
What is a function?' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Amount Leo earns for each hour he works = $8.14
Amount Leo earns in x hours = $8.14x
Amount Leo earns as additional tip per week = $300
Therefore, the function of x is,
⇒ f(x) = 8.14x + 300
Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300
Learn more about function here: https://brainly.com/question/9046022
#SPJ2
Express the following division in the form of a + bi: (1+3i)(2+i)
Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
18. Find the length of the segment indicated. Round your answer to the
nearest tenth if necessary.
Answer:
b. 6.2
Step-by-step explanation:
x =√18.2²-17.1² =√331.24- 292.41
= √38.83 = 6.2
what two numbers that multiply to 20 and add to 9
Answer:
4 and 5
Step-by-step explanation:
4+5=9
4*5=20
Answer:
5 an 4
Step-by-step explanation:
If you add 5+4 you get 9
And if you multiple 5×4 you get 20
can you help me with these problems i need them ASAP!!!!!!
Answer:look it up on quizlet its easier
Step-by-step explanation:
If you were to pick one day of the year at random, is it more likely that the day would be a Tuesday or that the day would fall during the month of January?
Answer and explain in your own words why you chose what you chose.
Answer: It's more likely it's a Tuesday
========================================================
Explanation:
The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.
The odds of it being January is 1/12 because we have 1 month we want out of 12 total.
Now the question is: which fraction is larger?
For now, assume they are equal. We'll cross multiply like so
1/7 = 1/12
1*12 = 7*1
12 = 7
We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps
1/7 > 1/12
1*12 > 7*1
12 > 7
which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.
-----------------
Alternatively, you can use your calculator to find that:
1/7 = 0.143 approximately1/12 = 0.083 approximatelyThen for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.
what is the ordered pair for 90 degrees on a unit circle
Calculate the value of c in the following square using the information given.
с
W.
Х
10.6 cm
b
Z
0
c = 15 cm
c = 16 cm
c = 17 cm
O c = 18 cm
9514 1404 393
Answer:
c = 15 cm
Step-by-step explanation:
The congruent diagonals are perpendicular bisectors of each other, so ∆WVX is an isosceles right triangle. The length of c is √2 times the length WV, so is ...
c = (√2)(10.6 cm) ≈ 15.0 cm
the area of a circle is 100 square miles. What is the diameter?
Answer:
The diameter of a circle with an area of 100 square miles is 20/√π miles.
Step-by-step explanation:
Area =100 = πr^2.
diameter = d = 2r.
100 = πr^2.
100/π = r^2.
√(100/π) = r.
10/√π = r.
d = 2r.
d = 2 * 10/√π.
d = 20/√π
A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jack
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 44 ft.) Round to the
nearest tenth of a foot.
1.4 feet
let me know if you get it right hope i helped!
Answer:
14
Step-by-step explanation:
a2+(48)2=
502\,\,50^{2}502
Use the Pythagorean Theorem.
a2+2304=a^{2}+2304=a2+2304=
2500\,\,25002500
Simplify.
−2304-2304\phantom{=}−2304=
−2304\,\,-2304−2304
Subtract 2304 from both sides.
a2=a^{2}=a2=
196\,\,196196
a2=\sqrt{a^{2}}=a2
=
±196\,\,\pm\sqrt{196}±196
Square root both sides.
a=a=a=
14\,\,1414
Simplify. Ignore negative root, as length must be positive.
Identify an equation of a line in slope-intercept form that passes through (1, 2) with a slope of -8
Answer:
y = -8x + 10
Step-by-step explanation:
y = -8x + b
2 = -8(1) + b
2 = -8 + b
10 = b
9514 1404 393
Answer:
y = -8x +10
Step-by-step explanation:
The y-intercept can be found from the equation ...
b = y -mx
Using the given point and slope, this is ...
b = 2 -(-8)(1) = 10
Then the slope-intercept equation is ...
y = mx +b
y = -8x +10
help now
options on second pic
Answer:
D. -8√70 + 7√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Simplifying radicalsStep-by-step explanation:
Step 1: Define
Identify
√7(-8√10 + √14)
Step 2: Simplify
[Distributive Property] Distribute √7: -8√70 + √98Reduce: -8√70 + 7√2Which of the following is equivalent to 3 cm??
A.
B.
6 mm2
30 mm
90 mm-
300 mm
C.
D.
Answer:
30mm
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth 10 20
if only i knew I would love to help you sorry
please answer its due tomorrow ill give brainiest no links or scam
Answer:
4: 1 2/3
5. 5/21 b. 1/4 c. 11/18 d. 3/20
6. 11/12 b. 10/12 < 11/12
7. 4/45
Step-by-step explanation:
4. 1/3 times 5
6. just add
7. 1/5 minus 1/9
Answer:
hey this is my alt acount im doing this so i can give brainiest
Step-by-step explanation:
What is the cost of 2 kilograms of flour if 3 kilograms cost $4.86 and the unit price for each package of flour is the same?
Answer: Your answer is on the bottom of the photo I used an online note table
Step-by-step explanation:
Answer:
I think the answer is $3.24.
Step-by-step explanation:
4.86 / 3 = 1.62
$1.62 is equal to how much 1 kilogram of flour would cost.
1.62 x 2 = 3.24
Hope this helped.
