A car uses 8.4 liters of petrol for a 112 mile journey. When the tank is full, the car holds 54 liters of petrol. How far should the car be able to travel on a full tank of petrol.
Answer:
720 miles
Step-by-step explanation:
A car uses 8.4 liters of petrol for a 112 mile journey.
In 1 litres = [tex]\dfrac{112}{8.4}\ \text{miles}[/tex] of journey
We need to find far should the car be able to travel on a full tank of petrol i.e. 54 litres of petrol.
[tex]54\ l=\dfrac{112}{8.4}\times 54\\\\=720\ \text{miles}[/tex]
So, the car can travel 720 miles when it holds 54 lirres of petrol.
Find the sum (2x−6)+4(x−3) =
Answer: x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parantheses to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides 6.
6x-18
6x/6-18/6
x=-2
The final answer is x=-2
Hope this helps!
Btw this is a backup account
Answer:
6x - 18
Step-by-step explanation:
Distribute: 2x − 6 + 4x − 12
Group Common Factors: 2x + 4x - 6 -12
Solve: 6x - 18
I hope this helped, please mark Brainliest, thank you!
PLS HELP
Determine the intercepts of the line. y=11x+6 (x and y intercept)
Answer:
Step-by-step explanation:
the xintercept is (-6/11,0)
y intercept is (0,6)
Helpppp what is kp???
Step-by-step explanation:
the equilibrium constant expressed in terms of partial pressures. Kp index, a measure of the global average geomagnetic potential. Kripke–Platek set theory, a mathematical axiom system.
In the middle of a very cold winter night the temperature outside is -20'c at nine o'clock in the morning it has become 30 degrees warmer. What is the temperature at nine o'clock
Answer:
10°c
Step-by-step explanation:
-20°c + 30° = 10°c
Can I get Brainliest? Plz!
please help I am doing a timed test I will choose brainliest
Write the standard form of the equation of a line with a slope of 3 passing through the point (-5, -6).
Select one:
a. -x + 3y + 13 = 0
b. -3x + y - 9 = 0
c. 3x - y + 9 = 0
d. x - 3y - 13 = 0
Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.
[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]
Step 3: We now need to write the equation of the line in slope-intercept form.
[tex]y = 3x + 9[/tex]
Step 3: Now we convert the above equation from slope-intercept form to standard form.
[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]
Our equation in standard form is: B. -3x + y - 9 = 0.
Pls help me find the slope
Y(-5,0), Z(-2,-4)
Answer:
-4 / 3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -0)/( -2 - -5)
( -4 -0)/( -2 +5)
-4 / 3
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Y (-5, 0)
Z (-2, -4)
Step 2: Find slope m
Substitute: [tex]m=\frac{-4-0}{-2+5}[/tex]Subtract/Add: [tex]m=\frac{-4}{3}[/tex]plz help An online store advertises 40% off all items and free shipping. Gretta orders a pair of shoes originally priced at $65 and pays an 8% sales tax. How much will Gretta pay in total for this transaction? Show the steps you used to arrive at your solution in a clear, organized response.
Answer:
$42.12
Step-by-step explanation:
The original price of the shoes was $65.
Everything is 40% off. Therefore, the new price of the shoes now will be the original price minus 40% of 65.
40% of 65 is 0.4(65) or $26. So, $26 was deducted.
This means that the new price will be $65-$26 or $39.
There’s also an 8% sales tax that will be applied. So, Gretta’s total will be the new price of the shoes plus the sales tax being applied to the shoes.
The sales tax is 8% of 0.08. So, when applied to the shoes, it will be: 0.08(39) or $3.12.
Therefore, the total sum Gretta will pay is $39 (the new price) + $3.12 (the sales tax) for a grand total of $42.12
Blake and Josh are both saving money for a new bike. The ratio of Blake's savings to Josh's savings is 3:1. If they have saved $400, how much has each boy saved?
Given:
Total savings = $400
Ratio of savings of Blake and Josh = 3:1
To find:
The saving of each.
Solution:
Let the savings of Blake and Josh are 3x and x respectively.
According to the question,
[tex]3x+x=400[/tex]
[tex]4x=400[/tex]
Divide both sides by 4.
[tex]x=100[/tex]
Now,
Savings of Blake = 3(100)=300
Savings of Josh =100
Therefore, the savings of Blake and Josh are $300 and $100 respectively.
does anyone know this?
Answer:
1.37×10^9 is in scientific notation
Jasmine found a wooden jewellery box shaped like a right rectangular prism. What is the volume of the jewellery box? MY TEACHER DIDNT TEACH US VOLUME. Ugh. ♀️
Answer:
Volume = Length × Width × Height
Step-by-step explanation:
A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a right rectangular prism, we use the following expression.
Volume = Length × Width × Height
Which graph shows the solution to the equation f(x)= (x-1)(x+4)
Answer:
the firstn one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
We have the function:
[tex]f(x)=(x-1)(x+4)[/tex]
This is a quadratic in factored form.
The zeros of our function will be the opposites of our factors.
We have the factors (x-1) and (x+4).
Therefore, the zeros of our function must be at x=1 and x=-4.
Also, notice that the coefficient of our x-variable are both positive.
Therefore, the leading coefficient will also be positive.
So, this means that our graph must curve upwards.
Therefore, our graph must be curving upwards while crossing the points x=1 and x=-4.
So, our answer is D.
Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)
Step-by-step explanation:
We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.
-2x+7>17
subtract 7 on both sides
-2x>10
divide by -2. remember that dividing by a negative flips the greater than or less than sign.
x<-5
the answer is D
−5.55−8.55c+4.35c ples
This is so you can mark him as the brainiest
I gotchu :)
Answer:
thx for the points and happy thanksgiving
Step-by-step explanation:
have a great night/morning
i love food,do u?
Will give brainliest if correct.
Answer:
slope is 5, y intercept is -7
Step-by-step explanation:
In the form y=mx+c, m is the slope and c is the y-intercept.
Rearrange the formula to fit this form:
5x-y=7
-y=7-5x
y=5x-7
∴m(slope)=5
∴c(y-intercept)=-7
Find the equation of the line specified.
The line passes through the points (-2, 3) and ( -4,7)
Answer:
Step-by-step explanation:
to get the slope, we use the fotmula y2-y1/x2-x1
so that would be
7-3 over -4-(-2)
7-3=4 and -4-(2)=-2
so the slope is -4/2x, or simply -2x
NEED HELP ASAP! Question in the photo.
Answer:
SAS Postulate
Step-by-step explanation:
You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"
Side AB is proportionate to DE and
Side AC is proportionate to DF.
Angle A and Angle D are the same; and is between the two sides
I hope this helps.
Which three lengths
cannot be the lengths of
the sides of a triangle?
a) 13, 11, 14
b) 17,5, 10
c) 21, 16, 14
d) 8, 9, 14
Answer:
B)
Step-by-step explanation:
You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B
What is 95 feet in inches
Answer:
1140 in.
Step-by-step explanation:
Multiply the length value by 12, so 95*12=1140
Have a beautiful day! v(⌒o⌒)v♪
Hurry, I need help and please explain
Answer:
Question 18
=$3.33
Step-by-step explanation:
i)
26/100 x 4.5
=1.17
(the discount price)
ii)
$4.5-$1.17
=$3.33
Answer:
QUESTION 18
The original price is $4.50
The discount is 26%
They are asking for the sale price which the price after the discount.
So,
The original price means 100% of the cost, like there is no discount at all.
But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)
The new price of the item has to be 74% of the original price.
74% of $4.50 is the same as saying 26% discount.
But what is the number?
To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.
0.74 x 4.50 = 3.33
In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33
take a look at the following set of data: 21,74,42,89,51,38,207 what word would describe the data point 133
9514 1404 393
Answer:
"missing"
Step-by-step explanation:
The value 133 is missing from the given data set.
Answer:
missing
Step-by-step explanation:
because its not in the data
Solve this equation. Enter your answer in the box.
−56e−23e=−24
Answer: at end of explanation
Step-by-step explanation:
First simply operate the e's, so get common factor and (- 56 - 23)e = -24. This leaves you with -79e = -24. Then move the number multiplying e to dividing the other side, so e = -24 / -79, wich results in 0.8 period. So your result rounded to 2 decimal places is 0.89.
Answer:
0.304
Step-by-step explanation:
Step by Step Solution:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-56*e-23*e-(-24)=0
Step by step solution :
STEP
1
:
Solving a Single Variable Equation
1.1 Solve : -79e+24 = 0
Subtract 24 from both sides of the equation :
-79e = -24
Multiply both sides of the equation by (-1) : 79e = 24
Divide both sides of the equation by 79:
e = 24/79 = 0.304
The formula d-2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.
A. Solve the formula for r.
B. Find the rate(r) when the distance traveled is 130 miles.
Answer:
A. d/2 = r
B. r=65 miles/hour
Step-by-step explanation:
A. d/2 = 2r/2
B. Using the formula you found for R it is
130/2= r, therefore r = 65
The formula for r is:
r = d/2.
The rate r when the distance traveled is 130 miles is:
= 64 miles per hour.
Given,
The formula d = 2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.
We need to:
- Solve the formula for r.
- Find the rate(r) when the distance traveled is 130 miles.
What is the formula for speed?Speed = distance / time
We can find the distance as:
distance = speed x time
We have,
d = 2r where d = distance and r = rate.
Here 2 = 2 hours
The formula for r :
d = 2r
Divide both sides by 2.
d/2 = r
r = d/2
r = distance / 2 hours
The rate at a distance of 130 miles is:
d = 130 miles
r = d / 2
r = 130 / 2 = 65 miles / hour
Thus,
The formula for r is d/2.
The rate r when the distance traveled is 130 miles is 64 miles per hour.
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Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3
Answer:
Step-by-step explanation:
|A|= 5, 2, -3, -5
|Ax|= 14, 2, 3, -5,
|Ay|= 5, 14, -3, 3
The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.
In terms of determinants, it can be written as,
[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].
[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].
[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].
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2(x²+3x)+12=0 write in standard form
Answer:
2 x^2 + 6 x + 12 = 0
Step-by-step explanation:
Expand the following:
2 (x^2 + 3 x) + 12 = 0
2 (x^2 + 3 x) = 2 x^2 + 2 (3 x):
2 x^2 + 2 3 x + 12 = 0
2×3 = 6:
Answer: |
| 2 x^2 + 6 x + 12 = 0
You and a friend are playing a card game. You draw a card from a standard deck of 52 cards. Your friend gives you two choices of games to play. Game A: pay $4 and if you draw a card that is worth 9 or more, you will win double your money. Game B: pay $2 and if you draw a card that is a heart, you will win $3. Which game should you play? NOTE: Face cards and ace count as 10 points. Explain using complete sentences.
if there are 13 heart cards in total and there are 20 cards that have a value above 9, your odds are better for game a.
If two angles of a triangle measure 20 and 130 degrees, what is the measure of the third angle?
A.) 40°
B.) 50°
C.) 30°
D.) 60°
Answer:
c.) 30 degrees
Step-by-step explanation:
the sum of the angles of a triangle is 180 degrees
so if the third angle was x
then
x=180-(20+130)
x=180-150
x=30 degrees
The measure of third angle is 30 degree.
What is Angle Sum property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.
Given:
Two angles are 20 and 130.
Using Angle sum property of triangle
<1 + <2 + <3 = 180
20+ 130 + <3= 180
150 + <3 = 180
<3 = 180- 150
<3 = 30
Hence, the third angle is 30 degree.
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S
You have $18 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 18 represents this situation, where x is tubes of
lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand
sanitizer?
Answer:
(1.5×5) + (2.5×4)
Step-by-step explanation:
if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D
Using no digits other than 5 and 8, make a 6-digit number, that has the properties below. If it is impossible, write so. Of course you may use each digit more than once. c A multiple of 5, but not a multiple of 15.
Answer:
Doing this would be impossible
Step-by-step explanation:
Doing this would be impossible. This is because the final digit and the first digit in the 6-digit number would always be a 5 or an 8. This means that the entire 6-digit number will either be completely divisible by both 5 and 15 or neither. Therefore not meeting the requirements that have been set. So in conclusion, this would be impossible to do by using only 5's and 8's as the single digits.