Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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janel makes bracelets. she uses 48 beads for each bracelet she makes a d has 600 beads. how many braclets can she make
Janel can make 12 bracelets. The quotient of 12 and remainder of 24 means that Janel can make 12 bracelets but does not have enough beads for 13 bracelets.
Hope it helps
lovelymoonlight
Janel can make total of 12 bracelets.
DivisionWhat is division?One of the four fundamental operations, along with addition, subtraction, and multiplication, is division. A number is split in the straightforward action of division.
Relation of dividend, divisor, quotient and remainder:The following dividend formula can be used to find the dividend if the values of the divisor, quotient, and remainder are provided.
Dividend = Divisor x Quotient + Remainder
Calculation for the number of bracelets:Janel has total number of beads = 600.
Beads required to make one bracelet = 48.
To calculate the number of beads divide total number of beads by 48.
Beads = 600/48
Quotient comes out as 12 and remained comes out as 24.
Therefore, the total number of bracelets can made is 12.
After completion of 12 bracelets 24 beads will left.
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Melissa made a total of 14 baskets during her last basketball game. She made a number of 2-point baskets and a number of 3-point baskets for a total of 33 points. Using matrices to solve, how many 3-point baskets did Melissa make in her last basketball game? 3 5 9 11
Answer:
The answer should be 5
Step-by-step explanation: cause 3x5=15 which leaves 9 more shots that are equal to 2 2x9= 18 and 18+15= 33 which means the answer is 5
Answer:
B.) 5
Step-by-step explanation:
Edge2021
Solve the following inequality: 9x+2/3(−7x+6)−1≥2
Answer:
Step-by-step explanation:
3(9x - 14/3x + 4 - 1 ≥ 2)
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6
13x ≥ -3
x ≥ -3/13
Answer:
x ≥ - [tex]\frac{3}{13}[/tex]
Step-by-step explanation:
Given
9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2
Multiply through by 3 to clear the fraction
27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side
27x - 14x + 12 - 3 ≥ 6
13x + 9 ≥ 6 ( subtract 9 from both sides )
13x ≥ - 3 ( divide both sides by 13 )
x ≥ - [tex]\frac{3}{13}[/tex]
What is the 15th term in the pattern below?
1, 4, 9, 16, 25, 36, ...
Answer:
(15×15)=225
Step-by-step explanation:
Following Terms:
(7×7)=49
(8×8)=64
(9×9)=81
(10×10)=100
(11×11)=121
(12×12)=144
(13×13)=169
(14×14)=196
(15×15)=225
Simple Pattern to follow.
3.
Define the following terms.
a. steam distillation b. fractional distillation
C. chromatogra
Step-by-step explanation:
Steam distillation is a separation process which consists in distilling water together with other volatile and non-volatile components.
Fractional distillation is the separation of a mixture into its component parts, or fractions.
A technique for the separation of a mixture by passing it in solution or suspension through a medium in which the components move at different rates.
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Math question I need help on
Solve the following system of equations using the elimination method. 2x + 4y = 10 –2x + y = –15
Answer:
(7, - 1 )
Step-by-step explanation:
Given the 2 equations
2x + 4y = 10 → (1)
- 2x + y = - 15 → (2)
Adding the 2 equations term by term eliminates the term in x, that is
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
2x + 4(- 1) = 10
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Solution is (7, - 1 )
(7, - 1 )
Step-by-step explanation:
Given the 2 equations
2x + 4y = 10 → (1)
- 2x + y = - 15 → (2)
Adding the 2 equations term by term eliminates the term in x, that is
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
2x + 4(- 1) = 10
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Solution is (7, - 1 )
What is the simplified expression for 5ab+9ab-ab? 0 12ad O 13ab 0 15ad O 16ab
Answer:
13ab
Step-by-step explanation:
5ab+9ab = 14ab. 14ab-1ab=13ab.
Good luck
If T is the midpoint of SU, what are ST, TU, and SU.
*Question 16*
We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:
5x = 3x + 32
2x = 32
x = 16
ST = 5x = 80
So TU = 80 and SU=160
Answer: Second choice
What is the coefficient in the expression 8x + 10
Find the coordinate of the midpoint of GH with endpoints G(-5,4) and H (-5,8)
Answer:
(-5,6)
Step-by-step explanation:
G(-5,4)=(x1,y1)
H(-5,8)=(x2, y2)
midpoint=?
now,
(x,y)= x1+x2/2 y1+y2/2
-5-5/2 4+8/2
-10/2 12/2
-5 6
therefore the co ordinates of midpoint are(-5,6)
If a = 2 b=-3 then find the value of 2a - 4b?
Given:
a=2b=-3Question:
2a - 4b
Step by step explanation:
Step 1:
2×2-4×(-3)
Step 2:
4-4(-3)
Step 3:
4+12
Step 4:
16
So 16 is correct answer
hope it helped you :)
Answer
16
Step-by-step explanation:
2×2-4×-3=
4+12=
16
New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much greater is the population of Manhattan than New York City?
Given :
New York City has a population of 8.55 million and 300 square mile area .
Manhattan has 1.64 million and 23 square miles area .
To Find :
How much greater is the population density of Manhattan than New York City.
Solution :
Population density of New York City :
[tex]D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2[/tex]
Now ,
[tex]D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2[/tex]
Therefore , population density of Manhattan is [tex]0.042\ million/miles^2[/tex] greater than New York City .
Hence , this is the required solution .
can someone help me on this with the steps? thanks!
Answer:
8h + 15 = 39
Step-by-step explanation:
The base fee is 15 so you shouldn't multiply the hours by it.
The question states 8 per hour which means that you should multiply the 8 by hours and add on the base fee which is 15.
Answer:
8h+15=39
im pretty sure this is your answer. let me know if it was or not
HELP HELP HELP PLS If DF = 6x - 2 and FE = 10x - 18, then which the correct equation to solve for x? 2(6x - 2) = 10x - 18 6x - 2 +10x - 18 = 180 6x - 2 = 10x - 18
Can someone help me solve this? ^^
Answer to a.
a. −14/15
3(a - 1) + 2a = a + 1
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
3(a - 1) + 2a = a + 1
Step 2: Solve for a
Distribute 3: 3a - 3 + 2a = a + 1
Combine like terms: 5a - 3 = a + 1
Subtract a on both sides: 4a - 3 = 1
Add 3 on both sides: 4a = 4
Divide both sides by 4: a = 1
What type of quantity is momentum? (2 points)
It is a scalar quantity because it involves magnitude only.
It is a vector quantity because it involves magnitude only.
It is a scalar quantity because it involves magnitude and direction.
It is a vector quantity because it involves magnitude and direction.
Answer:
it is a scalar quantity because it involves magnitude only.
Step-by-step explanation:
Name a pair of vertical angles (there may be more than one choice)
<1 and <4
<1 and <2
<2 and <4
<2 and <5
<5 and <4
Step one choose the lowest common denominator
be more specificlike what are the options
Frank needs to fill juice cups for his sis there r 35 cups amd it holds 12 fluid ounces. The juice came in a 1 gallon bottle how many 1 gallon bottles of juice will he need to purchase?
Answer:
4 gallons
Step-by-step explanation:
He needs 105 over 3 to fill all the cups. 1 gallon would be 10 and 2 third cups or 32 over 3. 2 gallons would be 21 and 1 third cups or 64 over 3. 3 gallons would be 32 or 96 over 3. 4 gallons would be 42 and 2 third cups or 128 over 3. So 4 gallons would fill up all 35 of his sisters 12 ounces cups. That would leave 7 and 2 third cups that hold the same amount. His sister gets all 35 of her 12 ounces each cups filled and he gets 7 and 2 thirds of new and unused 12 ounces cups. Basically out of the 4 gallons there would be 512 ounces and his sister with all 35 cups that hold 12 ounces each she would get 420 ounces. Which would leave him with 92 ounces of juice for himself. Hope this understandable and helpful.
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Choices
-10
-5
5
10
We have to simplify and get the value of x from this inequality given:
Given inequality,
[tex]3(x - 4) > 5x + 2[/tex]
Now let's simplify by using distributive property,
[tex]3x - 12 > 5x + 2[/tex]
We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.
[tex]3x - 12 - 5x - 2 > 0[/tex]
[tex] - 2x - 14 > 0[/tex]
Now, dividing -2 from both sides.
Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.
[tex] \dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2} [/tex]
[tex]x + 7 < 0[/tex]
Now subtracting -7 from both sides,
[tex]x + 7 - 7 < 0 - 7[/tex]
[tex]x < - 7[/tex]
Or, Interval of the equal [tex](- \infin, -7 ][/tex]
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━━━━━━━━━━━━━━━━━━━━
Answer:
it's A :)
Step-by-step explanation:
can I have brainlest please
The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
Which of the four triangles was formed by a translation of Triangle ABC? (4 points)
3
2
0 1
04
Answer:
2
Step-by-step explanation:
it is congruent
2
(2+1) - 4 x 5 + 31
Answer:
14
Step-by-step explanation:
Here's where you'll use the infamous PEMDAS, which just means how to solve the equation in order.
P means parentheses
E means exponents
M means multiplication
D means division
A means addition
S means subtraction
So start with P. Here we have (2+1) so that becomes 3. Which then turns the equation into: 3 - 4 × 5 + 31. Next Is E but since there are no exponents here you skip that step. Next is M. You have 4 × 5 which is 20 so the equation then becomes: 3 - 20 + 31. Next is D but since there's nothing to divide you can skip that too. You can actually go right ahead and solve it here because in PEMDAS you can actually just do all MD problems together from left to right, same as and AS problems in order from left to right, instead of doing M and then D or A and then S.
(I made a careless mistake in the original post, this should be the correct answer)
3[7x - 4(x - 3)] + 1
Answer:
9x+37
Step-by-step explanation:
Answer:
9x + 37
Step-by-step explanation:
3[7x - 4(x - 3)] + 1
3[7x-4x+12] + 1
3[3x +12] +1
9x + 36 +1
9x + 37
4. Asma can iron 5 shirts in 14 minutes. How long will she take to iron 35 shirts?
n make a water tank emnty in 20 minutes. But 2 pumps are
Answer:
Asma can iron 5 shirts in 14 minutes.
She can iron 1 shirt in 14/5 minutes.
she can iron 35 shirts in (14/5)×35 minutes.
=98 minutes i.e1 hour 38 minutes
What is the factored form of x6 - 9?
Sam and James needed a midnight snack. They found
a cake that Sam's mom had just made that day. Sam
and James were the first to eat the cake. If Sam ate
2s of the cake and James ate of the cake, how
much of the cake was left?
Answer:
if the cake was full the slices remined were four
The correlation coefficient r between an employee’s age, x, and yearly salary, y, is 0.633. What percent of the variation in yearly salaries can be explained by differences in the employees’ ages? 31.7% 63.3% 15.8% 40.1%
Answer:
The answer is 40.1%
Step-by-step explanation:
I just took the test
The variation in the yearly salaries can be explained by the differences in employee ages up to 40.1%.
When given the correlation coefficient of two variables, you can find out how much of the variation in the dependent variable can be explained by the independent variable by the formula:
= (Correlation coefficient)² x 100%
= 0.633² x 100%
= 0.4007 x 100%
= 40.1%
In conclusion, 40.1% of the variation in salary can be explained by age.
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(5,0) is a solution to the equation y = 5x + 5 Question 11 options: True False
Answer:
False
Step-by-step explanation:
y=5x + 5
0=5 (5)+5
0=10+5
0≠15
False