Answer:
Yes, they have the same solution.
Step-by-step explanation:
Both of these equations have the same solution, just different steps.
To solve Ravi's equation, first we use the distributive property.
2(x+14) = 40
Multiply 2 by x and 14
2x + 28 = 40
Subtract 28 from both sides.
2x + 28 - 28 = 40 - 28
2x = 12
Divide by 2 on both sides.
2x/2 = x
12/2 = 6
so x = 6.
Fran's equation is the same equation as Ravi's second step.
Her equation of 2x + 28 = 40 is Ravi's after distributing 2.
Answer:
2(x+14)=40
2(x+14)=40
÷2 ÷2
x+14=20
-14 -14
x=6
2x+28=40
-28 -28
2x=12
÷2 ÷2
x=6
I hope this is what you wanted:
y = 2x - 3
y = 2x + 1
Answer:
No solution.
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
If the lines are parallel, they will have no solutions.
If the lines are the same, they will have infinite solutions.
If the lines are anything else, they will usually have 1 solution.
If we graph the systems of equations, we see that the lines are parallel.
∴ the systems has no solution.
What is the slope of the line that contains the points (-4, 2) and (6, -3)?
Answer:
-1/2 or [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
to find the slope, use the formula
(y₁ - y₂)/(x₁ - x₂)
(2 - -3)/(-4 - 6)
(2 + 3)/(- 4 - 6)
5/-10
1/-2
-1/2
Can someone find the factors of this equation I’ll mark u as brainlist
Answer:
x = -4 , x = -1
Step-by-step explanation:
x² + 5x + 4 = 0
1) write 5x as a sumx² + 4x + x + 4 = 0
2) factor out x from the expressionx ( x + 4 ) + x + 4 = 0
3) factor out x + 4 from the expression( x + 4 )( x + 1 ) = 0
4) the product of factors equals to 0i) x + 4 = 0
x = -4
ii) x + 1 = 0
x = -1
what is the equation in slope intercept form of a line that has a slope of -1/2 and a y intercept of 6?
Answer:
y=-1/2x + 6
Step-by-step explanation:
I can't see the picture because it is blurry but i got y=-1/2x + 6
Only answer if it's 1000000000% Correct UwU
If the cost of a bat and a baseball combined is $1.10 and the bat costs $41.00 more than the ball, how much is the ball?
it is 5 cents :v
Cause I said so
Answer:
5 cents
Step-by-step explanation:
-1/4d-2/5d=39
Solve for d
Please explain I don’t understand
Given:
The equation is
[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]
To find:
The value of d.
Solution:
We have,
[tex]-\dfrac{1}{4}d-\dfrac{2}{5}d=39[/tex]
Taking LCM, we get
[tex]\dfrac{-5d-8d}{20}=39[/tex]
[tex]\dfrac{-13d}{20}=39[/tex]
Multiply both sides by 20.
[tex]-13d=39\times 20[/tex]
Divide both sides by -13.
[tex]d=\dfrac{39\times 20}{-13}[/tex]
[tex]d=-3\times 20[/tex]
[tex]d=-60[/tex]
Therefore, the value of d is -60.
prove the circle centered at A la congruent to the circle centered at C.
Answer:
Huh!
The circles with of same radii or same circumference or same area are congruent.
No need to proof!
Step-by-step explanation:
Or just type it,
'Since they have the same radii, they are congruent!'
The two given circles are congruent as their radius are similar.
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.So, the two circles are congruent because:
We know that:
AB = CDAnd AB and CD are the two radius of the given two circles.Since their radius is similar.So, the two circles will be congruent.
Therefore, the two given circles are congruent as their radius are similar.
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A charter bus travels 225 miles in
4.5 hours. Assume the
distance traveled is directly
proportional to the time spent.
Write a direct variation equation.
A) x + 50 = y
B) y + 50x = 0
C) x= - 50 y
D) y = 50x
D because y (time spent) = 50 × x (distance travelled)
225÷4.5=50
x÷y=50
20% of 260 students at hill middle school ride a bus to school. how many students ride a bus to school?
Answer:
52 students ride a bus to school
Step-by-step explanation:
Step 1: Our output value is 260.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above $260 = 100%.
Step 4: Similarly, x = 20%.
Step 5: This results in a pair of simple equations:
260 = 100%(1).
x = 20%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
[tex]\frac{260}{x}[/tex] = [tex]\frac{100}{20}[/tex]%
Step 7: Again, the reciprocal of both sides gives
[tex]\frac{x}{260}[/tex] = [tex]\frac{20}{100}[/tex]
⇒x=52$
Therefore, 20% of 260 is 52.
Hope this helps! :)
BRAINLIEST PLEASEEE
The number of students who ride a bus is 52.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total number of students = 260
The number of students who ride a bus.
= 20% of 260
= 1/5 x 260
= 52
Thus,
The number of students who ride a bus is 52.
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PLS I HAVE JUST 20 MINS HELP
Answer:
a7 b8
Step-by-step explanation:
A standard shower head uses 18 gallon of water in 3 minutes. If 270 gallons were used, how many minutes were spent in the shower?
Answer:
the answer is 45 minutes, hope this helped :-)
Step-by-step explanation:
18:3=6
270:6=45
Answer:they spent 15 minutes in the shower
Step-by-step explanation:
At David's Swimwear, 50% of the 36 swimsuit styles are bikinis. How many bikini styles are there?
9514 1404 393
Answer:
18
Step-by-step explanation:
50% × 36 = 0.50 × 36 = 18
There are 18 bikini styles at David's Swimwear.
Answer:
18 bikini styles.
Step-by-step explanation:
Divide 36 by 2.
Margo can purchase tile at a store for $.99 per tile and rent a tile saw for $10. At another store she can borrow the tile saw for free if she buys tiles there for $1.49 per tile. How many tiles mushy by for the cost to be the same at both stores?
Answer:
The indifference point is 20 tiles.
Step-by-step explanation:
First, we need to establish the total cost formulas for each store:
Store 1:
Total cost= 10 + 0.99*x
Store 2:
Total cost= 1.49*x
x= number of tiles
Now, we equal both formulas and isolate x:
10 + 0.99x = 1.49x
10= 0.5x
10/0.5=x
20=x
The indifference point is 20 tiles.
Pls help, best get brainiest...
Answer:
The equation a parallel line will be:
[tex]y=\frac{4}{3}x-9[/tex]
Hence, option B is correct.
Step-by-step explanation:
Given the equation
[tex]8x-6y=7[/tex]
Writing the line into the slope-intercept form
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]8x-6y=7[/tex]
[tex]6y\:=\:8x-7[/tex]
Dividing both sides by 6
[tex]y=\frac{4}{3}x-\frac{7}{6}[/tex]
comparing with the slope-intercept form
Thus, the slope of the line = m = 4/3
We know that the parallel lines have the same slope.
Thus, the slope of the parallel line is also 4/3
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 4/3 and the point (6, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-1\right)=\frac{4}{3}\left(x-6\right)[/tex]
[tex]y+1=\frac{4}{3}\left(x-6\right)[/tex]
Subtract 1 from both sides
[tex]y+1-1=\frac{4}{3}\left(x-6\right)-1[/tex]
[tex]y=\frac{4}{3}x-9[/tex]
Thus, the equation a parallel line will be:
[tex]y=\frac{4}{3}x-9[/tex]
Hence, option B is correct.
A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?
Answer:
8 5/8 ounces
Step-by-step explanation:
Given that:
Weight of puppy = 2 7/8 pounds
Puppy is being fed 3 ounces of food for each pound it weighs
Ounces of food being fed :
1 pound = 3 ounces
2 7/8 pounds =?
2 7/8 * 3
23/ 8 * 3
= 69/ 8
= 8 5/8 ounces
Jamie burned 480 calories in an exercise
class on Monday. She took a different class
the next day and burned as many
calories as she did on Monday. How many
calories did she burn on Tuesday?
There are 100 socks in a bag. 75 out of those are blue. What is the probability of picking a blue sock randomly out of the bag.
Answer:
3/4
Step-by-step explanation:
75/100=15/20=3/4
please mark as brainliest!!!<3<3
2. Express each of the following as a rational number in the form of p/q
Where q≠0
Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]
(b) (7/9)³
[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]
(c) (-2/3)⁴
[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]
Hence, this is the required solution.
HELP MEEEEEEE PLEASE > Which set of ordered pairs is a function?
((-5,1). (-3, 2). (-1, 3), (0, 4). (3. 5)
{(-6, -4), (-4, -2), (0, o). (-4, 2). (-6,4))
((-2). (-4,2), (0. 3), (4. 1), (-2 5))
{(-1,5), (-, 4), (-1, 3), (-1, 2). (-1, )})
Done ->
Answer:
The first choice
Step-by-step explanation:
The x values do not repeat (resubmitting since a bot deleted my first answer)
The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 miles, how many miles can be driven on 18 gallons of gas?
Answer:
3672
Step-by-step explanation:
If 8 gallons of gas were used to drive 204 miles multiply 18x204=3,672 miles
The car be driven 459 miles on 18 gallons of gas.
What is linear proportionality?A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.
Given,
8 gallons of gas is used to drive 204 miles.
Also, the number of miles driven varies directly with the number of gallons of gas used.
Therefore, (number of miles)/18 = 204/8
number of miles = 18 × (204/8)
= 18 × 25.5
= 459 miles
Hence, the car be driven 459 miles on 18 gallons of gas.
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I need to know then measurement of c
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}} [/tex]
Step-by-step explanation:
✰ [tex] \underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}[/tex]
The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.
❀ [tex] \sf{Now, \: Let's \: solve} : [/tex]
☄ [tex] \underline{ \underline{ \sf{Provided : }}}[/tex]
∠B = 3x°∠ C = 4x°∠ A = 2x°☄ [tex] \underline{ \sf{To \: Find :}}[/tex]
Measure of C✏ [tex] \text{Set \: up \: an \: equation \: and \: solve \: for \: x.}[/tex]
[tex] \text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}[/tex]
→ [tex] \sf{2x + 3x + 4x = 180 \degree}[/tex]
→ [tex] \sf{9x = 180 \degree}[/tex]
→ [tex] \sf{ \frac{9x}{9} = \frac{180 \degree }{9} }[/tex]
→ [tex] \sf{x = 20 \degree}[/tex]
The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :
[tex] \text{∠c = 4x}[/tex]
→ [tex] \sf{∠ \: c \: = 4 \times 20 \degree}[/tex]
→ [tex] \boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}[/tex]
Hence , The measure of ∠ C is 80 °
Hope I helped ! ッ
Have a wonderful day / night ! ♡
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What is the volume of the figure?
Answer:
106
Explain how you found your answer:
What is the value of p2 + r3 , when p=2 and r=3
Answer:
13
Step-by-step explanation:
(2)2 + (3)3 = 4 + 9 = 13
Answer: 31
Step-by-step explanation:
(4) 4 + (3) 3
P2 - 2 x 2
= 4
R3 - 3 x 3 x 3
= 27
27 + 4
= 31
Hope it helps!
What is an equation of the line that passes through the point (–1,5) and is parallel
to the line x - y = 6?
Answer:
y = - x + 4
Step-by-step explanation:
The first step is to find the slope-intercept form, which is:
y=x-6.
Then, y=x+6
y=-x+4 should be the answer since it passes through the point (-1, 5)
Answer:
y=x+6
Step-by-step explanation:
the other guy was wrong
The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10
Answer:
Here Is Your Answer Less Than 0 But Greater Than 10
what is the formula for finding missing angles of a triangle
Answer:
Now that you are certain all triangles have interior angles adding to 180° , you can quickly calculate the missing measurement. You can do this one of two ways: Subtract the two known angles from 180° . Plug the two angles into the formula and use algebra: a + b + c = 180°
find the base (picture attached)
Answer:
12 yd
Step-by-step explanation:
yo yo yo hi hi hi hi hi
so b*h=96
so 8b=96
b=12
The graph shows the linear relationship between the total sales and the amount of items purchased from the local Dollar Store
Which equation best represents the relationship shown in the graph?
Answer:
A. Y= 2x+1
Step-by-step explanation:
The reason for this is if you use the formula Y=Mx+ b it will help you solve this question so lets say you take the points (3,1) Where the 3 is the Y value and the 1 is the X value, so now you would show your work starting by labeling the (3,1) points and label them as their value, then write your formula Y=Mx+ b and then replace those values as 3=2(1)+1 and that equals 3.
y=2x+5. It says Complete the missing value in the solution to the equation. I NEED TO SOLVE FOR X
Answer: X=y/2-5/2
Step-by-step explanation:
Answer:
x=1/2y+(−5/2) or x=y-5/2
Step-by-step explanation:
Step 1: Flip the equation.
2x+5=y
Step 2: Add -5 to both sides.
2x+5+−5=y+−5
2x=y−5
Step 3: Divide both sides by 2.
2x/2=y−5/2
x=1/2y+(−5/2) or x=y-5/2
Find the volume of this shape 11 cm 16 cm