Answer:
Step-by-step explanation:
K=26
A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?
[1 mile = 1.6 km]
0.2
0.5
0.8
1.4
Answer:
Step-by-step explanation:
if our motorcycle use 70 miles per gallon
and 1mile=1.6 km
the motorcycle travels 70*1.6=112 km per gallon
for 60 km it needs
60/112=0.54 gallons
The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.
Answer:
Number = 92
Step-by-step explanation:
Let the unit digit is x and that of tens digit is y.
ATQ,
x+y = 11 ....(1)
The unit's digit is 7 less than the ten's digit
x = y-7 ...(2)
Put the value of x from equation (2) in (1)
y-7+y = 11
2x-7 = 11
2x = 11+7
2x = 18
x = 9
Put the value of x in equation (1)
9+y = 11
y = 2
Hence, the number is 92.
What is the balance after 15 years in a savings account that earns 2 % interest compounded bimonthly when the
initial deposit is $1000?
$1300.50
$1020.11
O $1012.52
$1348.07
Which triangle is congruent to the triangle with vertices (2,-2), (7,10), and (4,6)? (1 point)
O (-4,2), (8,7), (1,1)
0 (-5,3), (7,-2), (3,1)
O (9,6), (1,8), (-1,4)
O (-7,-5), (-3, -2), (3, 3)
Answer:
(-5,3), (7,-2), (3,1)
Step-by-step explanation:
Just did this question. Got it wrong but thats what it says the right answer is
help please. marked brainliest 15 points!!!!!
Answer:
SAS or side-angle-side because there are two congruent sides with a congruent angle between them
Step-by-step explanation:
Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 meters. The scale factor is ?
Answer:
1 : 3000
Step-by-step explanation:
Given that:
Scale measurement as following:
4 centimeters are equal to 120 meters.
To find:
The scale factor = ?
Solution:
First of all, let us learn about the definition of scale factor.
Scale factor means 1 unit on scale is equal to what length of actual measurement.
We are given that 4 cm on scale is equal to 120 meters of actual length.
We need to find nothing but how much 1 cm of scale is equal to actual length.
4 cm of scale = 120 meters or 12000 cm of actual length
Dividing by 4 on both sides, we get:
[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length
Therefore, the scale factor is 1 : 3000
The scale factor is 1; 3000.
Given
The scale measures 4 centimeters equal to 120 meters.
What is the scale factor?The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
Scale factor means 1 unit on the scale is equal to what length of actual measurement.
4 cm of scale = 120 meters or 12000 cm of actual length.
1 cm of scale = 4/4
Then,
[tex]= \dfrac{12000}{4}\\\\=3000[/tex]
Hence, the scale factor is 1; 3000.
To know more about the Scale factor click the link given below.
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Lashonda started to run on a treadmil, after setting it's timer for 64 minutes, The display states that she has finnished 68% of her run, how many minutes have gone by?
Step-by-step explanation:
It is 64*0.32=20.48 minutes or 20.5 minutes.
Answer:
43.52
Step-by-step explanation:
first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.
please help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
54.5
Step-by-step explanation:
a giraffe is 16 feet tall and casts a shadow of 24 feet. if Dustin casts a shadow of 9 3/5 feet how tall is he?
Answer:
12.4 feet
Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3
If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3
so,
x/93/5 = 2/3
Multiplying both sides with 93/5
x = 2/3 * 93/5
x = 62/5 =12.4
If triangle pts is congruent to triangle pqr find the value of x
Answer:
Its 8
Step-by-step explanation:because u add then divide and subtract
Hypolenuse_13cm Sudheer ruder his by cycle 9km exact and the rider 12 km north .How for is the form his starting point?
Help please and Thankyou
a) A square with sides of length 8 units, sits on a graph with is lower left hand corner at the origin. This square is translated 5 units up,and 7 units left. What are the coordinates of the upper right hand corner after translation.
b) Explain
Answer: not correct reset an-[ERROR]
Step-by-step explanation:
t-5 for t=7 solve for t
Answer:
2?
Step-by-step explanation:
7-5 is equal to 2
Answer:
2
Step-by-step explanation:
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
1.six and two thirty thirds kilometers
2.five and twenty five thirty thirds kilometers
3.six and twenty five thirty thirds kilometers
4.six and twenty thirty thirds kilometers
Answer:
3!
Step-by-step explanation:
8 2/3 - 1 10/11 = 223/ 33 (6 25/ 33)
Hope it helped!
For what value of k does the equation 5x – 32 = kx + 3 have no solution?
Step-by-step explanation:
5x - 32 = kx + 3
(5 - k)x = 35
This equation fails when (5 - k) = 0, or k = 5.
find the measure of abc
Create an equation that has -12 and -15 as its only solutions.
Answer:
x^2+27x+180
Step-by-step explanation:
okay so -12 and 15 are the only solutions
work backward
add 12 and add 15 from x
(x+12)(x+15)
then solve this
x*x=x^2
x*+15=15x
12*x=12x
12*15=180
now put it all together
x^2+15x+12x+180
then simplify
x2+27x+180
(x+12)(x+15)
Then solve again to try it.
x+12=0
x+15=0
x=-12
x=-15
Hope this helps.
What is 60,000+3,000+20+9 in standard form?
60,000 + 3,000 + 20 + 9
= 63,000 + 29
= 63,029.
Answer: 63,029
Hope this helps have A wonderful Christmas
Step-by-step explanation:
What 3/4 x 5/8 in fraction
Answer: Hi! 15/32, I think!
Answer:
15/32
Step-by-step explanation:
Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?
Answer:
Brand A is the better buy
Step-by-step explanation:
bag Which is the better buy?
Step one
Brand A: $5 for 80 pounds of sand
Let us find the unit cost
Unit cost =5/80
=$0.0625 per pound
Brand B: $14 for 175 pound
The unit cost is
=14/175
=$0.08 per pound
Really easy question !!!!!!!
Linear Algebra
Answer:
Okay thank you
Step-by-step explanation:
Answer:??
Step-by-step explanation: where’s the question
Solve the following equation and explain each step using apropriate Properties
5(4x-3)-18=7
Answer:
x=2
Step-by-step explanation:
5(4x - 3) - 18 = 7
20x - 15 - 18 = 7 distributive property
20x - 33 = 7 communitive property
20x = 40
-------------
20
x=2
Solve the system using linear combinations.
–5x + y = 1
9x – 2y = 4
Answer:
(-6, -29)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-5x + y = 1
9x - 2y = 4
Step 2: Rewrite Systems
-5x + y = 1
Add 5x on both sides: y = 5x + 1Step 3: Redefine Systems
y = 5x + 1
9x - 2y = 4
Step 4: Solve for x
Substitution
Substitute in y: 9x - 2(5x + 1) = 4Distribute -2: 9x - 10x - 2 = 4Combine like terms: -x - 2 = 4Isolate x term: -x = 6Isolate x: x = -6Step 5: Solve for y
Define equation: -5x + y = 1Substitute in x: -5(-6) + y = 1Multiply: 30 + y = 1Isolate y: y = -29
Choose the word that correctly completes the statement
Since angle B is the largest angle, line segment AC is the
side,
The line segment AC (side a) is the longest side of triangle ABC.
To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.
Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.
To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:
a/sin(A) = b/sin(B) = c/sin(C)
Where:
a, b, c are the side lengths of the triangle.
A, B, C are the angles opposite to sides a, b, c, respectively.
Let's calculate the length of side AC (a) using the law of sines:
a/sin(A) = b/sin(B) = c/sin(C)
a/sin(45°) = b/sin(75°) = c/sin(60°)
a/√(2) = b/sin(75°) = c/sin(60°)
Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.
a = √(2) * b and a = (√(3)/2) * c
Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.
To know more about triangle:
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The complete question is:
A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest
PLEASE ANYONE! I need to create a inequality equation to make this shape on the graph.
9514 1404 393
Answer:
-4 < y < 4 and y < -3/2x +2
Step-by-step explanation:
The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...
m = rise/run = -3/2
This means we can write the boundary line equation as ...
y = mx + b
y = -3/2x +2
__
We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...
y < -3/2x +2
We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...
-4 < y < 4 and y < -3/2x +2
if x=2+√3,then find the value of x-1/x
what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)
Answer:
(-3/2, 10)
Step-by-step explanation:
(x, y)
Set y = 10
10 = -2/3(x) + 9
x = -3/2
(-3/2, 10)
Set y = 10 2/3
10 2/3 = -2/3(x) + 9
x = -5/2
(-5/2, 10 2/3)
You can also plot the line and see which point is on the line which would be (-3/2, 10).
The ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
Recall:
An ordered pair, (x, y) is a solution to a given equation if we plug the x and y values of the ordered pair and the equation remains TRUE.Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:
10 = -2/3(-3/2) + 9
Simplify10 = 1 + 9
10 = 10 (TRUE)
Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
Learn more about solution to an equation on:
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Solve the system by substitution 2x-y=39 and -6y=x
Answer:
x=18,y=-3
Step-by-step explanation:
A banquet room is being carpeted. A floor plan of the room is shown.
The carpet costs $0.50 per millimeter. How much will it cost to carpet the room? Use 3.14 for LaTeX: \piπ .Round your answer no the nearest cent.
Answer: 144.84
Step-by-step explanation:
c + 5d = -13
4c - 5d = 48
Solve the simultaneous equations
c=__
d=__