Answer:
The complete question can be found online.
The missing information is:
Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km
Remember that 1000cm^3 = 1 L
then:
100cm^3 = 0.1L
This means that he uses 0.1 L per kilometer.
The equation that shows how many liters of fuel he will have is:
initial fuel - consumed fuel.
We know that the initial fuel is 30 liters.
And the consumed fuel will be the amount of fuel he used to drive the 120 km
Remember that for each km, he consumes 0.1 L of fuel.
Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:
120*0.1 = 12 L of fuel
Then the remaining fuel in the tank is:
30 L - 12 L = 18L
There are 18 L of fuel in the tank.
Answer:
Should be 30-100/1000*120
Step-by-step explanation:
My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
Answer:
It is 36
Step-by-step explanation:
minus × minus equals + so its 36
Answer:
36
Step-by-step explanation:
(-4) is -4
then
(-9) then 36
In the figure. PQ = PR and AQSR = 90°. Write the name of an isosceles triangle and a right angled triangle.
Answer:
see explanation
Step-by-step explanation:
Since PQ = PR , that is congruent legs of the triangle, then
Δ PQR is isosceles
Since ∠ QSR = 90° , then
Δ QSR is right angled
In a circle with center P and radius 10cm. If one of the chord is of length 12 cm.
Then find the distance of the chord from the center.
Look at the attachment
The line bisects the cord which we have to find
Length of chord=12cmHalf of the cord=12/2=6cmRadius=10cmIts a right angle triangle
using Pythagorean theorem[tex]\boxed{\sf P^2=H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]
[tex]\\ \Large\sf\longmapsto P=8cm[/tex]
Distance of the chord from centre is 8cm.
find the missing side lengths
Answer:
X = 18
Y = 9√3
Step-by-step explanation:
use sin equation for right angle triangle
The sine of the angle
= ( the length of the opposite side ÷ the length of the hypotenuse.)
according to this question,
sin 30 = 9 / X
1/2 = 9 / X
X = 18
use cosine to find y
The cosine of the angle
= (the length of the adjacent side ÷ the length of the hypotenuse.)
cos 30 = y/x
√3/2 = y/ 18
y = 9 ✓3
Can someone please help me with these 4 questions?
Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20
Answer:
1) x= 7 and y =2
Step-by-step explanation:
mark me as brainliest please
Answer:
x =7
y =2
eqn 1 - eqn2
5x-2x=3x
3y-3y=0
41-20=21
3x=21
x=7
in eqn 1;
5×7)+3y=41
35+3y=41
3y=6
y=2
Answer ASAP please!
Answer:
e. is incorrect
sin (x)= f/e
Urgent!! Does anyone know how to solve this?
Answer:34/45
Step-by-step explanation:
Find the area of a parallelogram with a base of 9m and a height of 5
Answer:
A=45m²
Step-by-step explanation:
A=bh=9·5=45m²
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form.
I'm sorry but there's not enough info
Step-by-step explanation:
Answer:
The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ
The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ
The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ
The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ
When the net is folded up, which sides will touch?
A. C and G
B. M and G
C. D and F
D. E and L
Answer:
The correct answer is
D) e and l
Complete the table for the given rule.
Rule: y is 2 more than 4 times 2
pls help
Answer:
[2,10,18]
y = 4x + 2
0,2
1,6
2,10
3,14
4,18
Step-by-step explanation:
Answer:
x=0 y=2
x=2 y= 10
x=4 y= 18
Step-by-step explanation:
Is means equals
y = 4x+2
Let x = 0
y = 4(0)+2 = 2
Let x = 2
y = 4(2)+2 = 8+2 = 10
Let x =4
y = 4(4)+2 = 16+2 = 18
Geometry, please answer question ASAP
Answer:
length = 11 ft
breathe = 5 ft
perimeter of rectangle = lxb
= 11ft x 5ft
= 55 ft
the answer is 55 ft
Answer:
Perimeter of rectangle = 2(l+b)
=2(11+5)
=2x16=32ft
Uma maneira de realizar a operação 9972 - 9 de forma rápida e correta é calculando 1 000 * 994, que é igual a 994 000. A igualdade que justifica esse fato está expressa em:
a) (a + b)² = a² + b² + 2ab
//
b) a² - b² = (a + b)(a - b)
//
c) a² - b² = (a - b)²
//
d) (a - b)² = a² - 2ab + b²
//
e) a² - b² = 1 000(a + b)
Answer:
a)
Step-by-step explanation:
How many triangles???????
Based on the diagram, there are 8 triangles in total
TrianglesA triangle is a polygon with three sides and three angles.
Types of trianglesEquilateral triangle: The three sides and angles are equal.Isosceles triangle: It has two equal sides and two angles.Scalene triangle: No side and angle is equal.Therefore, there are 8 triangles in the diagram.
Learn more about triangles:
https://brainly.com/question/17335144
#SPJ1
The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.
Answer:
4/3 inches, or 1.33333 inches
Step-by-step explanation:
In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*
* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same
97. An elevator in a tall building goes up 7 floors, then
down 9 floors, down 4 floors, up 8 floors, and
down 2 floors. Now it is on floor 14. On what
floor did the elevator start?
so, start floor = x
x + 7 - 9 - 4 + 8 - 2 = 14
x = 14
the elevator started on the 14th floor.
to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14
A fish tank is in the shape of an open glass cuboid 30 cm deep with a base 16 cm by 17 cm, these measurements being external. If the glass is 0.5 cm thick and its mass is 3 g/cm3, find a the capacity of the tank in litres, and the mass of the tank in kg.
Answer:
3.24 kg
Step-by-step explanation:
internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs
external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs
Vol of thickness = 8160 - 7080 = 1080cm^3
Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg
Someone please helppp
Answer:
true
Step-by-step explanation:
y = 5x+6
To find the inverse, exchange x and y
x = 5y+6
Solve for y
x-6 = 5x+6-6
x-6 = 5x
Divide by 5
x/5 - 6/5 = 5y/5
1/5x - 6/5 = y
The inverse is (x-6)/5
which is the solution to this system of equations?
x + y = 3
x - y = -3
A. (3,0)
B. (0,3)
C. (0,6)
D. (0,-3)
x+y,=3
x_y=-3
A.,(0,3)
B. (0,3)
C. (0,6)
D. (0 _3)
(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
solve for x? They are vertical angles
Answer:
Step-by-step explanation:
6x - 11 = 3x + 13
3x = 24
x = 8
Find the missing side lengths
Question 16 of 30
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate Time = Distance
How many hours will it take to complete a 76-km bike ride if you go 16 km per
hour the whole time?
Answer here
Answer:
3:15 hours
Step-by-step explanation:
i don't know I just took the test
Answer:
4.75 or 4 3/4
Step-by-step explanation:
rate = distance/time
Multiply both sides by time:
time * rate = distance
Divide both sides by rate:
time = distance/rate
We are given:
distance = 76 km
rate = 16 km/h
time = ?
time = distance/rate
time = 76 km/(16 km/h)
time = 4.75 h = 4 3/4 h
help me with my homework
Answer:
a.[tex]\frac{x+10}{5} = 9.5[/tex]
b. $37.50
Step-by-step explanation:
To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: [tex]\frac{x+10}{5}[/tex]. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:
[tex]9.5 = \frac{x+10}{5}[/tex]
Now, we can solve.
First, we can multiply by 5 on both sides to get:
47.5 = x + 10
And then subtract 10:
x = 37.5
This means the bill before the tip was $37.50
The temperature on a mountain peak was 7 degreesFahrenheit (F) at 6:00 p.m. By 8:00 p.m., thetemperature had dropped to 0F. If the temperaturecontinued to drop at about the same rate, which isthebestestimate of the temperature at 11:00 p.m
A -20 / B. -14 / C -10 / D -9 /
Given:
The temperature on a mountain peak was 7°F at 6:00 p.m.
By 8:00 p.m., the temperature had dropped to 0°F.
To find:
The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.
Solution:
Time between 6:00 p.m. to 8:00 p.m. is 2 hours.
Change in temperature in 2 hours is -7°F.
Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.
Time between 8:00 p.m. to 11:00 p.m. is 3 hours.
Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.
Now, the temperature at 11:00 p.m is:
[tex]0-\dfrac{21}{2}=-10.5[/tex]
Therefore, the temperature at 11:00 p.m. is -10.5°F.
Note: All options are incorrect.
I'LL GIVE BRAINLIEST !!! FASTERR
please provide explaination !
Answer:
x=50
y=75
Step-by-step explanation:
The explanation is in the picture!
what is the approximate shadow in feet of the tree in the figure below.
Answer:
224 ft
Step-by-step explanation:
The tree makes a 90° angle with the ground, so we have a right triangle.
For the 32° angle, the height of the tree is the opposite leg. The length of the shadow on the ground is the adjacent leg.
The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
Let the length of the shadow of the tree on the ground be x.
tan A = opp/adj
tan 32° = 140 ft/x
x = 140 ft/tan 32°
x = 224 ft
Answer: 224 ft
What is the decay factor of an exponential function that represents a 64% decrease?
Answer:
.36
Step-by-step explanation:
To find the decay factor
y = a(1-b)^x
b = 1-rate of decrease
= 1-64%
= 1-.64
= .36
PLSSS HELP MEE
Equation: c = n
Is there any way for this equation to be true? How?
Step-by-step explanation:
if
c = 3 + 6 = 9
and
n = 4 + 5 = 9
then it could be true