9514 1404 393
Answer:
499 1/3 miles
Step-by-step explanation:
Let m represent the number of miles the car can travel on 14 gallons. We assume distance is proportional to gas usage, so ...
m/14 = 107/3
Multiplying by 14, we have ...
m = 14(107/3) = 1498/3 = 499 1/3
The car can travel 499 1/3 miles on a full tank of gas.
Could someone help me with this question please ASAP
Answer:
Step-by-step explanation:
Vertex form of quadratic equation with coordinate of vertex (h, k) is
y = a(x - h)² + k
Simplified to create an equivalent expression
(2+2w)•4+9(w+3)=
Answer:
17 w + 35
Step-by-step explanation:
You get this answer by using PEMDAS.
3. Find the slope and y-intercept of the graph of the following equation.
2y + 4 = -6x
Answer:
slope= -3,y - intercept y = -2
Step-by-step explanation:
- Make y the subject by taking four on the opposite side of the equal sign.
2y = -6x - 4
- Divide throughout by 2 and from there you get the gradient which is also the slope.
- To get the y - intercept,the value of x =0. Thus you get y =-2.
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE
Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)
HELP ME PLEASE.......
Answer:
Y intercept: 1
Slope: -1/3
Equation would be y=-2/3x+1
Step-by-step explanation:
If x and y are positive real numbers, which expression is equivalent to the expression below?
[tex](125x {4}y^{ \frac{3}{2} })^{ \frac{1}{3} } \div (xy)^{ \frac{1}{2} } [/tex]
5x^5/6
Step-by-step explanation:
Darío buys applesauce cups for a family reunion. He needs 23 cups, and he buys them in packs of 6. How many packs does Dario need?
Answer:
He needs 4 packs.
Step-by-step explanation:
6*4=24 So we would need 4 packs, which gives him 24 but at least we have 23 cups.
Find the area of the triangle with A = 60°, b = 11 feet, and c = 8 feet. Round to the nearest tenth.
Answer:
41.25 ft^2
Step-by-step explanation:
Literally all you need to do is Pythagorean Theroem.
a = ?
b = 11ft
c = 8ft
a^2 + b^2 = c^2
a^2 + 11^2 = 8^2
a^2 + 121 = 64
64 - 121 = a^2
a = 7.5
Then area of a triangle formula is (bh)/2
(11 x 7.5)/2 = 41.25
Please solve!! :)
-3 lx+4l= -6
Answer:
x = -2, -6
Step-by-step explanation:
I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)
Write 19/4 as a decimal
AB is parallel to CD
Find the value of X
Find the value of Y
Answer:
∠y° = ∠69°
∠x = ∠69°
Step-by-step explanation:
1) The question relates to parallel line theorem
The given parameters are;
AB is parallel to CD
∠111° and ∠y° are consecutive interior angles
∠69° and ∠x° are alternate interior angles
When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal
Therefore, we have;
∠111° + ∠y° = 180°
∠y° = 180° - ∠111° = ∠69°
∠y° = ∠69°
2) For the alternate interior angles, ∠69° and ∠x°, we have;
Alternate angles are equal, therefore ∠x = ∠69°
1. Solve the equation for x.
-3 (x+ 4) = 12
Answer:
x = -8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
i had that on my test before
Multiply (x+2)(x2−3x +4)
2x2−6x+8
x3+5x2+10x+8
x2−2x+6
x3−x2−2x+8
Plz help i mark brainliest
Step-by-step explanation:
Using FOIL, we have
(x + 2)(x² - 3x + 4)
= (x³ - 3x² + 4x) + (2x² - 6x + 8)
= x³ - x² - 2x + 8.
Simplify the expression:
8(1 + 8z) =
Submit
Answer: My answer is in the bottom :)
Step-by-step explanation:8(1 + 8z) do the distributive property
8+64z=72z or 8=64z
64 64
1/8=z
5x + 4y = 20 on a graph
Answer:
5x + 4y = 20 on a graph
Step-by-step explanation:
Please help with this math qs!!
Step-by-step explanation:
Find the radius: 6 ÷ 2 = 3m
Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m
Area = pi x 3cm x 3cm = 28.27m2
Calculate the circumference and area of given triangle.
Formula applied:Circumference of circle = 2πr
Area of circle = πr²
Solution:Radius,r = diameter/2 => 6/2 = 3 m
( i ) As we know that formula of circumference,
Circumference of circle = 2πr
[tex] \bf \: \star \: putting \: the \: values[/tex]
[tex] \implies \: 2 \times 3.14 \times 3[/tex]
[tex] \implies \: 6.28 \times 3[/tex]
[tex] \implies \: 18.84 \: m[/tex]
(ii) As we know,
Area of circle = πr²
[tex] \bf \star \: putting \: the \: values[/tex]
[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]
[tex] \implies \: 3.14 \times 9[/tex]
[tex] \implies \: 28.26 \: m {}^{2} [/tex]
Find a pair of numbers that have a sum of −3 and a difference of −7.
Answer:
x = -5 and y = 2
Step-by-step explanation:
You want to start by writing these two equations:
x + y = -3
and
x - y = -7
Then, you want to add the solutions to these two equations, like so:
-3 + -7 = -10
Then, to find the x value, because x > y, divide the answer by two:
-10/2 = -5
So, the x value is -5.
With this information, you can figure out that the y value is 2.
Check the answer:
-5 + 2 = -3
-5 - 2 = -7
Hope this helped
Zeke spent 12 minutes on the phone while routing 4 phone calls. In all, how many phone
calls does Zeke have to route to spend a total of 15 minutes on the phone? Assume the
relationship is directly proportional.
In a gram panchayat election, candidate A
won with 220 votes where the number of
voters was 1,000. In another such election,
candidate B won with 300 votes where
the number of voters was 1,300. Who won
with the greater majority?
5/7 + 2/3
Plz Answer
Answer:
29/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
Answer:
1.38 or 1 and 1/7
Step-by-step explanation:
5/7 + 2/3
10/21 + 14/21= 24/21
then your have to divide 24 by 21 = 1 and 3/21
then simplify 1 1/7
does this help?
It takes 900 pounds of steel to make one steel beam. How many beams can be made from 6,300 pounds of steel?
Answer:
7
Step-by-step explanation:
6,300 divide by 900 would equal 7
Answer:
7 beams
Step-by-step explanation:
To find how many beams can be made from steel, we have to find how many times 900 goes into 6,300. So our equation is:
6,300 ÷ 900 = 7
So you can make 7 beams out of 6,300 pounds of steel (and you won't have any steel left.)
The sum of three consecutive odd integers is –87. What are the integers?
A.
–31, –33, –35
B.
–30, –29, –28
C.
–31, –30, –29
D.
–31, –29, –27
A builder needed to buy one hundred fifty-four boards for his latest project. If the board he needs comes in packs of three, how many packets will he need to buy
Answer:
51.3 packets or 51 1/3 packers
Step-by-step explanation:
From the above question:
The board he needs comes in packs of three. This means
1 pack = 3 boards
Hence:
3 boards = 1 packet
154 boards = x
Cross Multiply
3x = 154
x = 154/3
x = 51.333333333 packets
Approximately = 51.3 packets or 51 1/3 packers
The builder will need to buy 51.3 packets or 51 1/3 packers
Which function's graph is shown below?
Answer:
B: y=sinx
Step-by-step explanation:
the parent sine function is a repeating function that goes from 0 to 1, with sin(0)=0 sin(pi/2)=1 sin(pi)=0 sin(3pi/2)=-1 and sin(2pi)=0, π≈3.1415926 and we see on this graph that the graph matches at all these major points.
the cosine parent function is essentially the same thing but shifted to the left by π/2. It is essential to familiarize yourself with the unit circle and the key angles and their respective sin and cosine values.
The answer is y = sin x!!
Evaluate each expression if m=2, n=16, and p = (Examples 1-6)
1. m + 10
2. n-4
3. min
4. 6m - 1
5. 3p
6. 12p
12m - 4
8. 9p to the 2nd power
Answer:
1. 12 2. 12 3.1/8 4. 11 5. -15 6.-60 7.20 8.225
Step-by-step explanation:
Given that :
m=2 and n=16 , p = {1-6 =-5} then;
1. m+10 = 2+10 = 12
2. n-4 = 16-4 = 12
3. m / n = 2/16 = 1/8
4. 6m - 1 = 6*2 - 1 = 12 -1 = 11
5. 3p =3* -5 = -15
6.12 p = 12* -5 = -60
7. 12m-4 = 12*2 - 4 = 24 -4 =20
8. 9p² = 9*-5² = 9 * 25 = 225
if MP= 6x-5, QR = 3x+1 ,and RN = 6, what is QN
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.
Substitute the given values.
The value of x is 4.
Hence, the measure of QN is 19 units.
PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.
Answer:
y=−x+2y=4x+7 NO
y=−x+2 YES
y=4x+7
Multiply the first equation by 4, obtaining: 4y = -4x + 8
Add the 2nd equation to this result: y = 4x + 7
--------------------
5y = 15, and y = 3
Then, using the first equation, determine x:
y = 3 = -x + 2
1 = -x, so x = -1
The solution is (-1, 3)
Answer: (-1; 3)
Step-by-step explanation:
y = -x + 2
y = 4x + 7
4x + 7 = -x + 2
4x + 7 + x - 7 = - x + 2 + x - 7
5x = - 5
x = - 1
y = 4(-1) + 7
y = 3
Intersection point: (-1; 3)
See the solution on the photo
The distance around a closed shape can be expressed as 3 times the length of side s or 3s draw an example of this geometric shape (what shape do I draw)
same price, d.
) Which model represents the situation?
d
d
10
d
19
.) What is the price of one drink?
d=
7
8
9
ex
4
5
6
Answer: ddddd
Step-by-step explanation:
PLEASE HELP! I NEED THIS DONE BY TOMORROW!
1. In January, a mobile phone shop sold 100 phones. In February, they sold 92 phones. Represent this difference as a percentage change.
2. A piece is cut from a 130cm length of wood so that the remaining length is 104cm. What percentage of the wood has been cut off?
3. There are now 30 boys in a class that originally had 24 boys in it. What was the percentage increase in the number of boys in the class?
4. Last year, there were 300 students in Year 7. This year there are 315 students. Show that this is a 5% increase.
5. A piece of art was bought for £600. Six months later, it was sold for £675. What percentage of profit did the seller make?
6. In a sale, trainers originally costing £70 are reduced to £49. Calculate the percentage change.
7. Josh invests £3500. When his investment matures, he receives £4200. Work out the percentage
increase in his investment.
8. A car company bought a car for £8000. Two years later they sold the car for £7200. Calculate their
percentage loss.
Answer
down below
Step-by-step explanation:
i did it on your last post
please give me a brainliest!!