Answer:
0.0428 miles per gallon
Step-by-step explanation:
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons
Given data
Distance driven = 280miles
Fuel used= 12 gallons
Hence the gas per mile is expressed as
Gas per mile= 12/280
Gas per mile= 0.0428 miles per gallon
Can someone pls help me with this
Answer:
C f=9
Step-by-step explanation:
isolate f on one side so you subtract 5 from both sides to get 3f=27 and then divide by 3 on each side to get f=9
Answer:
The value of F is 9
Step-by-step explanation:
3f+5=32
3f=32-5
3f=27
f=27/3
f=9
in the fist quadrant you start a 5,3 and move 2 units left and 1 unit down where would you end up?
Answer:
3,2
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
If you moved two units left you would be at (3,2) the move one down you would be at (3,1)
Solve each triangle. Round your answers to the nearest tenth.
Answer: The value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Step-by-step explanation:
To calculate the value of each part of the triangle, we use:
1) Angle sum property
2) Law of sines
Starting with 1:
Calculating [tex]\angle B[/tex] by angle sum property:
[tex]\angle A+\angle B+\angle C=180^o\\\\34^o+\angle B+116^o=180^o\\\\\angle B=(180^o-116^o-34^o)=30^o[/tex]
Applying 2:
The Law of sines relates the length of the side with the sines of the angle opposite to it.
[tex]\frac{\sin 34^o}{BC}=\frac{\sin 116^o}{45}\\\\BC=\frac{\sin 34^o\times 45}{\sin 116^o}\\\\BC=28units[/tex]
Similarly,
[tex]\frac{\sin 30^o}{AC}=\frac{\sin 116^o}{45}\\\\AC=\frac{\sin 30^o\times 45}{\sin 116^o}\\\\AC=25units[/tex]
Hence, the value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Edward went to the market with Rs 4x 2+y2+3y and spends Rs 2x 2+y for a packet of chips and chocolate for the remaining money. How much is the cost of chocolate?
Answer:
Edward spent Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y on chocolate.
Step-by-step explanation:
Initial amount with Edward = Rs 4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y
The cost of a packet of chips = Rs 2[tex]x^{2}[/tex] + y
By assuming that Edward spent all his money at the market, and on both chips and chocolate. Then;
Amount spent on chocolate = Initial amount with Edward - cost of a packet of chips
= (Rs 4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y) - (Rs 2[tex]x^{2}[/tex] + y)
= Rs (4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y - 2[tex]x^{2}[/tex] - y)
= Rs (4[tex]x^{2}[/tex] - 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y - y)
= Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y
Amount spent on chocolate = Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y
Therefore, Edward spent Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y on chocolate.
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction
Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem
[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]
Direction is given by using figure i.e.
[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]
Direction is [tex]15.85^{\circ}[/tex] North of east
The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.
Answer:
35 cm
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
h = 147x2 / (5.3 + 3.1) = 35cm
Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?
Answer:
5cm
Step-by-step explanation:
Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
PLEASE WHAT IS THE ANSWER????
Answer:
6
Step-by-step explanation:
A = 4 cm * 3 cm/2
A = 6 cm^2
Answer:
6
Step-by-step explanation:
La Gioconda, de Leonardo da Vinci, es una de las pinturas mas famosas del mundo. Sus dimensiones son 77 cm de largo y 53 cm de ancho. Si un cartel publicitario tiene dicha pintura ampliada a una razon de semejanza de 5,6 ¿Cuál es el area de la reproduccion?
Answer:
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
vmate im just here for the b coins
Step-by-step explanation:
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
mate im just here for the b coins
-40 divided by what makes -4
Answer:
10
Step-by-step explanation:
<3
3/17=y/7 round to the nearest tenth
Answer:
y=1.24
Step-by-step explanation:
cross multiply 21=17y
divide, y=21/17
How do I solve -11+9=2x+45?
Answer:
x = - [tex]\frac{47}{2}[/tex]
Step-by-step explanation:
Given
- 11 + 9 = 2x + 45 , that is
- 2 = 2x + 45 ( subtract 45 from both sides )
- 47 = 2x ( divide both sides by 2 )
- [tex]\frac{47}{2}[/tex] = x
Somebody really smart!!!?
Answer:Its the last one to the left up
Step-by-step explanation:
Answer:
78.5 square feet
option b
Step-by-step explanation:
area = pi*r^2
a = 3.14*5^2
a = 3.14*25
a = 78.5
HELP QUICKLY PLS WILL MARK BRAINLIEST
Solve for x. See image below
Answer:
Step-by-step explanation:
Tangents from the point outside the circle are equal.
x + 7 = 13 +8
x + 7 = 21 {Subtract 7 from both sides}
x = 21 - 7
x = 14
pls help me solve pls show how you got the answer
Answer:
Step-by-step explanation:
p=8 cm
one side=8/4=2 cm
edge of black square=2/4=1/2 cm=0.5 cm
area of one square=(0.5)²=0.25 cm²
total area of two black squares=2×0.25=0.5 cm²
length of white rectangle=2/2=1 cm
width=2/4=1/2 cm=0.5 cm
area of one rectangle=1×0.5=0.5 cm²
area of two rectangles=2×0.5=1 cm²
total area=0.5+1=1.5 cm ²
Write an equation for a line that is perpendicular to the line 6y – 9x = 12
Answer:
y = -2/3x + 4
Step-by-step explanation:
first we take the original equation and convert it to y=mx+b (a form we know how to graph)
that gives us y = 3/2x + 2
(Here's my work for that):
6y - 9x = 12; add 9x on both sides
6y = 9x + 12; divide 6 on both sides
y = 9/6x + 12/6
y = 3/2x + 2
next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)
then we just uh graph that slope and try to find the y intercept. i did it already and i got 4
Answer:
Step-by-step explanation:
You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.
Add 9x to both sides.
6y - 9x + 9x = 9x + 12
6y = 9x + 12 Divide by 6
6y/6 = 9x/6 + 12/6
y = 1.5x + 2
Now the perpendicular line must have a slope that is found by using
m1 * m2 = - 1
m1 = 1.5 From the equation above.
1.5 * m2 = - 1 Divide by 1.5
m2 = -1/1.5
m2 = - 2/3
So far what you have is
y = -2/3 x + b You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do
The complete equation becomes
y = -2/3 x + 1
The graph is enclosed.
Which expression is equal to 2 x 7 x 6?
(2 x 7) + (2 x 6)
7 x 2 x 6
(2 + 7) x (2+6)
7+2 +6
Doe-
Answer:
84
Step-by-step explanation:
Runelle collected river water for an experiment. She poured it into 8 jars. Each jar had the mixed number two and three fourths pints of water. What is the total amount of river water Runelle collected?
Answer: 22 pints of water
Step-by-step explanation:
Runelle collected river water and poured in eight jars such that each jar had 2³/₄ of water.
The total amount of water collected by Runelle from the river will therefore be the sum of all the water in the 8 jars and because they are the same, we can simply multiply the quantity in one jar by 8 to see the sum:
= Amount of water in one jar * 8 jars
= 2³/₄ * 8
= 11/4 * 8
= 22 pints of water
6
(
f
+
4
)
+
2
(
f
+
4
)
6(f+4) + 2(f+4)
Use the distributive property:
6f+24 + 2f + 8
Now combine like terms:
8f +32
The answer is 8f + 32
Answer:
8 f + 32
Step-by-step explanation:
6 ( f + 4 ) + 2 ( f + 4 )
Distribute
6 × f + 6 × 4 + 2 × f + 2 × 8
6 f + 24 + 2f + 8
Collect like terms
6 f + 2 f + 24 + 8
Add the numbers
8 f + 32
HELPPPPP LLAAAA SODIBEXICEC
Answer:
C)
E)
F)
D)
Step-by-step explanation:
These are all questions and answer that can be graphed, are represented on a data display. For example, the number of tomatoes on each plant can vary, and get changes through time. This is a statistical question.
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
Answer:
20%
Step-by-step explanation:
Solve for x. In the equation 9x +1/3= x-13
Answer:
Step-by-step explanation:
9x+[tex]\frac{1}{3}[/tex]=x-13
9x*3+1/3=x-13
27x+1/3=x-13
27x+1=3(x-13)
27x+1=3x-39
27x-3x=-39-1
24x=-40
x=-5/3
x=-5/3
Answer:
x = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Given
9x + [tex]\frac{1}{3}[/tex] = x - 13 ( multiply through by 3 to clear the fraction )
27x + 1 = 3x - 39 ( subtract 3x from both sides )
24x + 1 = - 39 ( subtract 1 from both sides )
24x = - 40 ( divide both sides by 24 )
x = [tex]\frac{-40}{24}[/tex] = - [tex]\frac{5}{3}[/tex]
PLEASE HELP!! Which variable is most important to the following problem?
The Top Shoppe orders 85 shirts for each of its 22 stores from a clothing
manufacturer. The manufacturer has 3000 shirts in stock. The Top Shoppe pays $20 for each shirt. How much does the Top Shoppe pay for the shirts?
A. The total cost of the shirts
B. The number of shirts the manufacturer has left after the order
C. The sizes of the shirts ordered
D. The number of shirts the Top Shoppe orders
Answer:
ok so we know that it order 85 shirts for each of its 22 stores so we can multiply 22 by 85 which is 1870. so the company order 1870 shirts and they pay 20$ for each so we can multiply 1870 by 20 which is 37400. so top shoppe pays 37400 for the shirts.
A=37400
B=I don't know what the order was so i dont know
C= also there is nothing about the size of the shirts
D=1870
so the most important variable is probity A but there could be an argument made about the importance of D.
Your Welcome
BIFFY OUT!!!
Help meeeeeeeeeeeeeee please
Answer:
[tex]6^{-5}[/tex]
Step-by-step explanation:
lmk if its right :)
The numbers of blue and green beads Emma uses to make five different pieces of jewelry are recorded below. Which of the following equations relate to the number of green beads, G, to the number of blue beads, b?
Answer:
a
Step-by-step explanation:
follow the proportions
Answer:
A
Step-by-step explanation:
I really need help if any one knows geometry please try and help and answer these few questions
Thank you!
Answer:
x=12, 11
What is the greatest common factor of the polynomial below?
18x3 - 6x
A. 3x
B. 3x2
C. 6x
D. 6x2
Answer:
option C
Step-by-step explanation:
18x^2 - 6x
take common
6x(3x^2 - 1)
here 6x is greatest common factor of the polynomial
Answer:
c the greatest common factor
I. NEED. HELP! PLEASE!
Answer:
x = 2.5
Step-by-step explanation:
We know the adjacent and the opposite sides to the angle in a right triangle
tan theta = opp / adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2 / tan 26
x =2.46036461
Rounding to the nearest tenth
x = 2.5
tan tita = opp/adj
tan 26°=1.2/x
x=1.2/tan 26
x=2.46
x=2.5
4, 9, 13, 18,
The common difference 'd' is
Answer:
There is no common difference
Step-by-step explanation:
4 9 13 18
diff 5 4 5
Because the difference between 9 and 13 is 4
and the difference in the other terms is 5
there is no common differeence