Answer: He can travel up to 9 days before he has to top up the petrol in his car.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The petrol available (100) minus the amount that his car consumes per day (8x) must be higher to 20 (liters left)
Mathematically speaking:
100- 8x > 20
Where x is the number of days.
Solving for x:
100-20>8x
80 > 8x
80/8> x
10>x
x <10
x must be less than 10 days .
He can travel up to 9 days before he has to top up the petrol in his car.
B
3
35°
А
с
?
AC =
Round your answer to the nearest hundredth.
Step-by-step explanation:
tan 35=3/x
tan 35 x =3
x=3/tan 35
x=4.28
just double check this because I'm not quite sure
Answer:
AC = 4.28
Step-by-step explanation:
Khan Academy
11. An airline charges $20 to check a piece of luggage up to 23 kilograms. For excess weight, it charges $5 more per kilogram. The airline rounds up to the next whole kilogram (a piece of luggage weighing 24.1 kg would be charged as 25 kg). The airline doesn't accept luggage over 32 kg. Which of the graphs below represents this information as a function?
Answer:
i believe it is b
Step-by-step explanation:
Choose all sets that contain the number 5.
All except irrational numbers
Step-by-step explanation:
1. There are 15 girls and 12 boys in Mrs. Johnson's mathclass. Express the ratio of boys to girls in simplest form.
Answer:
4 :5
Step-by-step explanation:
boys : girls
12 : 15
Divide each by 3
12/3 : 15/3
4 :5
Kite K N M L is shown. Sides L K and K N are congruent. The length of L K is 2 y + 5 and the length of K N is y + 10. Sides N M and M L are congruent. The length of N M is 2 x + 6 and the length of M L is 3 x minus 1. What are the lengths of sides KN and NM of the kite? KN = units NM = units
Answer:
kn=15
nm=20
Step-by-step explanation:
The lengths of sides KN and NM of the kite
KN = 15 units
NM = 20 units
What is kite's shape?A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.
Given:
KLMN is a kite.
According to the given kite,
KN = KL........ (1)
and LM = NM........ (2)
From equation (1)
y + 10 = 2y + 5
y = 5.
Now,
3x -1 = 2x + 6
x = 7
We get,
LM = MN = 20
KN = 15 units
NM = 20 units
To learn more about the kite's shape;
https://brainly.com/question/20955975
#SPJ6
Solve by taking the square foot of both sides.
3(x+3)2 - - 81 = 0
x=-3-3-3 or – 3+3 / 3
b x = -3- 613 01-3+63
a.
c. x = 3-3301 3+33
d x-3-3-301-3+3.3
Answer:
x = - 12, x = 6
Step-by-step explanation:
Given
(x + 3)² - 81 = 0 ( add 81 to both sides )
(x + 3)² = 81 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )
x = - 3 ± 9
Thus
x = - 3 - 9 = - 12
x = - 3 + 9 = 6
Triangle ABC has measures a = 2, b = 2, and mzA = 30°.
What is the measure of angle B?
15°
30°
45°
60°
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
If the lengths of a and b are equal, the degrees of the angles should also be equal.
Order the side lengths of the triangle from shortest
to longest.
aco
c
57
63
60
Note: Figure not necessarily drawn to scale.
Answer:
Step-by-step explanation:
57
60
63
2|x-7|=8 solve the equation
Answer:
2x - 7 = 8
2x = 8 + 7
2x = 15 (divide both sides by 2 to get x)
2x/2 = 15/2
x = 7.5
Step-by-step explanation:
Answer:
11, 3
Step-by-step explanation:
Substitute 11
2|11-7|=8
2|4|=8
8=8
Substitute 3
2|3-7|=8
2|-4|=8
2x4=8
8=8
NEED HELP AGAIN . ASAP PLS AND THX
Answer:
I am pretty sure its (a) and (c)
Step-by-step explanation:
A parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?
Answer:
y = - (x + 1)²
Step-by-step explanation:
Vertex form of a parabola is given by,
y = -(x - h)² + k
Where (h, k) is the ordered pair representing vertex.
(-) sign denotes that the parabola is opening downwards.
If the coordinates of the given parabola is (-1, 0)
Equation of the parabola will be,
y = - (x + 1)² + 0
y = - (x + 1)²
Therefore, equation of the parabola will be, y = - (x + 1)²
What is 4.6% of 1.9? Round to the nearest hundredth (if nece
ecessary)
Answer:
.0874 or .087
Step-by-step explanation:
Answer:
1.99
Step-by-step explanation:
4.6% > 0.046
0.046 x 1.9 = 0.0874
0.0874 + 1.9 = 1.9874
rounded to nearest hundredth
1.99
Fill in the blank with the appropriate angle:
Given: AB and CD, transversal EF
∠BGH and _____ are same side interior
Answer:
∠DHGStep-by-step explanation:
Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.
Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.
Therefore, the right answer is ∠DHG.
How can you determine the type of the triangle based on the lengths of the sides in a triangle?
Answer:
You can determine the type of triangle using the following facts related to the converse of the pythag theorem
if a^2 + b^2 > c^2, then it is an obtuse triangle
if a^2+b^2<c^2, then it is an acute triangle
finally, if a^2+b^2=c^2, then it is a right triangle
NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!
In the figure below an angle that is supplementary to angel FAB is:
Thank you if you could help me <3 It’s geometry
Answer:
CAB
Step-by-step explanation:
Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.
Suppose the sample space for a continuous random variable is 0 to 50. If the
area under the density curve for the variable from 0 to 38 is 0.76, what is the
area under the density curve from 38 to 50?
A. 0.34
B. 0.924
C. 0.76
D. 0.24
Answer:
0.24
Step-by-step explanation:
Test each of the following for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
2) 620
1) 346
3) 3,420
4) 8,244
Can somebody find out the volume for these 3? I'll mark brainliest
Answer:
1) 60 m³ 2)182 m³ 3) 456 in.³
Step-by-step explanation:
1) 3 x 6 x 3 = 54
1 x 2 x 3 = 6
54 + 6 = 60
2) 3 x 6 x 7 = 126
2 x 7 x 4 = 56
126 + 56 = 182
3) 3 x 4 x 2 = 24
9 x 4 x 12 = 432
24 + 432 = 456
Use the elimination method to solve the system of equations
Answer:
D
Step-by-step explanation:
2x + 3y = 18
3x - 3y = 12
the 3y and -3y cancel and you add the other like terms
5x = 30
x = 6
plug x back into any of the equations
2(6) + 3y = 18
12 + 3y = 18
3y = 6
y = 2
answer is (6,2)
The quadrilateral with the following vertices is a
(-6, -2), (1, -2), (4,-5), (-4,-5)
parallelogram
rectangle
trapezoid
square
Answer:
Parallelogram
Step-by-step explanation: You have to plot the points in a coordinate plane. If you do that and connect the dots you will get parallelogram.
Please help quickly
Answer:
2x + 3
Step-by-step explanation:
Given
(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis
= x² + 7x + 1 - x² - 5x + 2 ← collect like terms
= 2x + 3
Answer:
2x+3
Step-by-step explanation:
Which algebraic expression represents this phrase? The product of 34 and the number of pounds
Answer:
D. 34 * p
Multiply them dude...
Answer:
D. 34 · p
Step-by-step explanation:
Product means multiplication, so the product of 34 and p is 34×p or 34·p
Hope this helps,
plx give brainliest
53!
The equation d = is can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an
equivalent equation solved for V?
Answer:
V = m/d
Step-by-step explanation:
d = m/V, m = mass and V = volume
We want to solve for V
Multiply each side by V
dV = m/V *V
dV = m
Divide each side by d
dV / d = m/d
V = m/d
HELLPPPP PLEASE ASAP WILL MARK BRAINLIEST!! PLEASW AND THANK YOUUU!!!
1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2
the sum of two numbers is 90 .the larger number is 14 more than 3 times the smaller number.
Answer:
The numbers are 19 and 71.
Step-by-step explanation:
Let x and y represent the two numbers. Then x + y = 90.
Also, if we assume that the larger number is y, then y = 3x + 14.
We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:
x + y = 90 becomes x + 3x + 14 = 90, or:
4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3(19) + 14, or y = 71.
The numbers are 19 and 71.
Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.
Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if the length of each piece is the greatest integer possible?
Answer:
2 pieces, 30ft each
Step-by-step explanation:
rope : 60ft long
we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:
if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.
A man divided some apples among his two children and himself. If the man took 3 apples for
himself and divided the remaining apples evenly between each of his children and each child had
fewer than 5 apples. How many apples were there originally?
Answer:
15
Step-by-step explanation:
Express the following rate as a unit rate.
224 miles in 4 hours
50 miles per hour
64 miles per hour
56 miles per hour
44 miles per hour
Answer:
224/4
this will give you 56 miles per hour, or c.
Step-by-step explanation:
Hope this helps!
some help plz??? what is the simplified form??? (-2)(-6x)(7)
Answer:
[tex]\displaystyle 84x[/tex]
Step-by-step explanation:
[tex]\displaystyle (-2)(-6x)(7)[/tex]
[tex]\displaystyle -2 \times -6x \times 7[/tex]
[tex]\displaystyle12x \times 7[/tex]
[tex]\displaystyle =84x[/tex]
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.