Answer:
House coordinate = (5, 1)
Library coordinate = (10, 13)
Step-by-step explanation:
Given :
House coordinate = (5, 1)
Library coordinate = (10, 13)
Distance between house snd library :
Distance = sqrt[(x2 - x1)² + (y2 - y1)]
x1 = 5, x2 = 10, y1 = 1, y2 = 13
Distance = sqrt[(10 - 5)² + (13 - 1)²]
Distance = sqrt[(5² + 12²)]
Distance = sqrt(25 +144)
Distance = sqrt(169)
Distance = 13
The distance between Dallas, TX and Houston, TX is 384 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two cities?
What fraction goes in the box to make it correct?
4/11×_=1
Step-by-step explanation:
[tex] \frac{11}{4} [/tex]
[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]
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THANK YOU.
It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 150 miles?
Answer:
The correct answer is 11/2.
Answer:2 hours and 30 minutes
Step-by-step explanation:
they drive 60 miles in a hour.
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London
whats the answer to 2 x 2 x 4 x 4 x 4 x 5 x 5 x 5 x 5 use expoments for the answer
Answer:
160,000
Step-by-step explanation
[tex]2^{2} X 4^{3} X 5^{4}[/tex]
2 x 2 = 4
4 x 4 x 4 = 64
5 x 5 x 5 x 5 = 625
4 x 64 x 624 = 160,000
a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?
Answer:
The answer is 1/36
Step-by-step explanation:
The probability that it will land on 1 at any time is 1/6
So for the first time we have 1/6
For the second time, we have 1/6
For the both times, we have
1/6 * 1/6 = 1/36
Dora's family bought a bag of oranges. There are 6 people in Dora's family. If they ate 3/8 of the oranges, what fraction of the bag of oranges remained?
Answer:
Step-by-step explanation:
the bag of oranges is 8/8
they ate 3/8
8/8-3/8=5/8 left
Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8
Answer:
(1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-4x + 9y = 14
12x - 10y = -8
Step 2: Rewrite Systems
-4x + 9y = 14
Multiply everything by 3: -12x + 27y = 42Step 3: Redefine Systems
-12x + 27y = 42
12x - 10y = -8
Step 4: Solve for y
Elimination
Combine 2 equations: 17y = 34Divide 26 on both sides: y = 2Step 5: Solve for x
Define equation: 12x - 10y = -8Substitute in y: 12x - 10(2) = -8Multiply: 12x - 20 = -8Isolate x term: 12x = 12Isolate x: x = 1Step-by-step explanation:
HERE,
two equation are,
●-4x+9y=14••••••••••••(equation I)
●12x-10y=-8•••••••••••(equation II)
First multiplying 3 in equation I
we get,
[tex]\bold{3×(-4x+9y=14) }[/tex]
=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)
Then,
we combine the equationii and equation III.
we get that,
[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]
[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]
Then,
put the value of y in equation II.
WE get,
[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]
So,
solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)
Andre is choosing an outfit from 2 pants, 2 shirts, and 2 pairs of shoes. Pants Shirts Shoes Jeans Polo Sneakers Black pants T-shirt Flip-flops How many possible combinations are there? There are possible combinations.
Answer:
8 Possible Combinations
Step-by-step explanation:
Trust me my guy
Answer:
8
Step-by-step explanation:
Question 2
5x + 2y = 4
9x + 2y = 12
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.
Answer: [tex]6ft < x < 30ft[/tex]
6ft is less then x and x is less then 30ft
Step-by-step explanation:
The possible length of the third side is 7 < x < 29.
What is a Triangle?Polygon which has three sides and three vertices are called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The lengths of the other two sides of a triangle are 11 feet and 18 feet.
Let the third side's length is x feet.
The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.
That means,
18 + 11 > x.
And 11 + x > 18.
So, we have a possible choice,
11 + 18 < x
Simplifying,
29 < x.
Arranging in better terms,
x > 29.
Another possible choice,
18 -11 < x
7 < x
Combining both inequalities,
we get,
7 < x < 29.
Therefore, 7 < x < 29.
To learn more about the triangle;
https://brainly.com/question/2773823
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write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form
Answer:
y=-2x+2
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
PLSS PLS HELP ITS DUE SOON IM DESPERATE
Answer:
The answer is A
Step-by-step explanation:
Use the form y = mx + b for your answer. Since 32 is the starting point, it will represent b. b represents the y intercept. Since the temperature decreases every hour, the second part of the equation would -2h. So, if you put it together, the final equation is y = -2h + 32.
Factor the quadratic expression completely.
PLZ HELP
What is the inverse of the function f(x) = x +3?
O h(x)=1/3x+3
O h(x)=1/3x-3
O h(x)=x-3
O h(x)=x+3
A number h added to -3 is at most 3.4
Help please!!!!!!!!!
Answer:
440 square inches
Step-by-step explanation:
5 x 8 x 11 = 440
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Describe the transformation that occurred
h(x) = 1/5f(x)
Answer:
Step-by-step explanation: To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Vertical compression
Melinda earns 10 minutes to play video games for every hour she spends on homework.
If Melinda spends 3 hours on homework, how many minutes will she earn to play video games?
Answer:
30 minutes
Step-by-step explanation:
if she earns 10 minutes per hour and there are 3 hours, 10 times 3 is 30
Answer:
30
Step-by-step explanation:
3*10=30Somebody pls pls help me with this I’ll mark u brainliest
Answer:
Step-by-step explanation:
The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.
An equiangular triangle has one angle of measure 2x+8. What is x?
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
8g+7+3g+12 can be written as?
Answer:
11g + 19
Hope this helps
Step-by-step explanation:
Answer:
It can be also written as 11g+19.
Step-by-step explanation:
First, you would add the numbers with the 'g'
11g+7+12
then you would add the regular numbers.
11g+19
HELP ASAP
1.Which number or symbol is a variable in the following algebraic expression?
5 + 4y x 32
a 5
b 4
c y
d 2
2.Convert the following word phrase to an algebraic expression:
9 less than a number.
a x - 9
b 9 -x
c 9 ÷ x
d x ÷ 9
Answer: 1.C 2.B
Step-by-step explanation:
The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed (s) was Mr. Gerard driving before the curve? Write and solve an inequality
Answer Mr. Gerard speed was at most 25 miles per hour before the curve
Step-by-step explanation:
How to solve the speed Mr. Gerard was driving before the curve
Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.
Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.
You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?
-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.
-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.
-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.
Answer: Mr. Gerard speed was at most 25 miles per hour before the curve
Graphing it
A way to graph this is to write out a compound inequality. You can write it as:
0 < y ≤ 25 ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour
The graph is shown below ↓
I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)
I hope you understand and that this helps with your question! :)
please solve the given equation
Answer:
noooooooooooooo to show and see
PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
A. 24
B. 21
C. 27
D. 32
Answer:
D. 32 feet
Step-by-step explanation:
A tree is 12 feet tall and casts a 9-foot shadow.
The shadow is 3/4 the length of the tree (9/12 = 3/4).
We know the shadow of a nearby building is 24 feet long.
That would be 3/4 of the height of the building.
So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.
24/1 * 4/3
Cross-cancellation
8/1 * 4/1
8 * 4
The building is 32 feet tall, which is D.
A teacher is taking a group of students on a field trip to a living museum. The
cost of the teacher's ticket is $9. Student tickets cost $4. It costs $57 for
everyone to get into the museum. How many students were on the field trip?
Jason makes a fruit salad using only strawberries and blue berries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups
Complete question :
Jason makes a fruit salad using only strawberries and blueberries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups.
Options is in the attached picture
Which statement describes the contents of Jason's fruit salad?
Answer:
Blueberry makes up 5/9 of the fruit salad
Step-by-step explanation:
Ratio of strawberries to blue berries is 4cups to 5 cups
Hence, in a fruit salad makeup ;
We can say we have 4 cups of strawberry for every 5 cups of blue berry
Fraction of strawberry and blueberries :
Total ratio = (4 + 5) = 9
Fraction of strawberry = 4/ 9
Fraction of blueberry = 5/9
Hence, from the option , the statement ;
Blueberry makes up 5/9 of the fruit salad is true since both are the only ingredients used
