The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Read more about linear equations at:
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How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation
I personally like the square method but I am lazy to draw this out (take too long)
5x²-13x-6 = (5x+2)(x-3)
x = -2/5 or 3
Double-check:
5x²-15x+2x-6 = 5x²-13x-6 √
In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?
A restaurant bill is $25.80. How
much is a 20% tip for this bill (NOT
the total)?
Answer:
25 pesos 80 pw
pesos I'm not sure
Step-by-step explanation:
25. 80
what is
-0.35 - (-0.25)??
Answer:
Please mark brainliest <3
Step-by-step explanation:
Find the missing angle measurement in each set of supplementary angles.
Supplementary angles sum up to 180°. Take the missing angle as 'x'.
148 + x = 180
x = 180 - 148
x = 32°
=》 Angle ABD = 32°
_________
Hope it helps!
RainbowSalt2222 ☔
Answer:
32 degrees
Step-by-step explanation:
Hi there!
Angle ABC measures 180 degrees since it's a straight line.
To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:
180-148 = 32
Therefore, angle ABD measures 32 degrees.
I hope this helps!
Cindy made a scale drawing of a game room. The pool table, which is 8 feet long in real life,
is 4 inches long in the drawing. What is the scale of the drawing?
1 inch:
feet
Answer:
1 inch = 2 feet
Step-by-step explanation:
Answer:
1 inch ÷ 2 feetStep-by-step explanation:
According to given:
8 feet → 4 inDivide both by 4 to get the scale of drawing:
8/4 feet → 4/4 in2 feet → 1 inWhich expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²
hurry please im timed whoever gets the correct answer ill give brainliest
Answer:
the answer is 7 + 3 . 5
Step-by-step explanation:
and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105
Answer:
E
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle and the exact values
cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2s = 10 ( divide both sides by 2 )
s = 5
------------------------------
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
q = 5[tex]\sqrt{3}[/tex]
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
13 ≈ 10 miles
Step-by-step explanation:
Have a nice day
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]
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integer operations
11. -60
12. 10
13. -9
14. 14
15. 37
Answer:
[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]
If Lucy runs 1 mile in 6
minutes, how many miles
will she run in 23 minutes?
A network of roads connects locations T, O, W, N, and S. How many different routes are there to travel from T to W along the given roads (line segments) without retracing any part of the route or going to any town more than once per route?
Answer:
9 routes
Step-by-step explanation:
every time you make a route, you can make a symmetrical route on the other side.
Answer:
9
Step-by-step explanation:
can 22.75 be rounded off to 23.5?
(im not smart pfft)
Answer:
No
Step-by-step explanation:
22.75 can be rounded to:
22.8
23
20
Answer:
no only 22.8
Step-by-step explanation:
Identify the solution for the system of equations graphed here.
A) (1,1)
B) (-1,1)
C) (1,-1)
D) (-1, -1)
Answer:
c) (1,-1)
Step-by-step explanation:
I hope this helps
i need help math hard
Answer:
15°
Step-by-step explanation:
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
help me please i’ll give you a brain list thingy thank youu
Answer:
Are the triangles similar?
1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate
2) SAS Postulate
3) congruent by ASA Postulate
4) SSS Postulate
5) congruent by AAS Postulate
6) SAS Postulate
Isosceles and Equilateral Triangles
1) by isosceles something triangle theorem
if two angles of opposite sides are congruent the sides opposite of those are congruent.
4x-12=20
x=8
2) Triangle Sum Theorem - all angles add up to 180.
with Isosceles triangle theorem.
x= 70 degrees
y= 40 degrees
3) 2x-14 = x+17 ( I think )
x=34
4) The picture is cut out.
Step-by-step explanation:
Find the slope of each line of the graphs to the right. Which graph has the greater slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.
Answer:
Line 2
Step-by-step explanation:
line one's slope is one and line 2 is 3
Answer:
Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.
Step-by-step explanation:
Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under
the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality
Answer:
<-2
Step-by-step explanation:
The product of 6 and the sum of a number and 3 is 60
Answer:
8(x+3) is the answer
Step-by-step explanation:
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The product of 6 and the sum of a number and 3 is 60.
Let the number be 'x'. Then the equation is written as,
6(x + 3) = 60
Simplify the equation, then the value of the variable 'x' will be calculated as,
6(x + 3) = 60
x + 3 = 60 / 6
x + 3 = 10
x = 10 - 3
x = 3
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
More about the Algebra link is given below.
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Would appreciate your help a lot!
Answer:
None of those answers are right. It should be
[tex] - \frac{23}{24} [/tex]
Step-by-step explanation:
You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.
[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]
Subtract 3/24 from both sides since it is being added.
[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]
Since there are two negatives on the left, add the fractions together and keep the negative sign.
[tex] - \frac{23}{24} = z[/tex]
You cannot reduce this fraction.
Guided Practice
Type your answer and then click or tap Done.
What is the vertex of the parabola with the equation y=15x^2+2x−8?
Answer:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Step-by-step explanation:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Done
The vertex of the parabola is (−5, −13).
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
1
/15
,
−
121
/15
)
Find the vertex form.
y
=
15
(
x
+
1
/15
)
2
−
121
/15
m= -2 b=15 write the equation of the line
Answer:
y=-2x+15
Step-by-step explanation:
Hi there!
We are given that m=-2, b=15, and we want to write the equation of the line, given these values
We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.
Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.
Substitute -2 as m:
y=-2x+b
Substitute 15 as b:
y=-2x+15
Hope this helps!
A researcher wants to study the effect of weather on college students' study habits. On a sunny day, the researcher sits in the quad and records the number of minutes of study per student. Identify the crucial element missing in this design.
In this experiment design, the missing element is the control group.
In most experiments, the researcher will need to have a control group and an experimental group.
The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.
This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.
The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.
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Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?
0 and 2
Step-by-step explanation:
If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.
the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base
Answer:
the height = 5cm
the base = 2cm
Step-by-step explanation:
need help with pre-cal please
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)find 50% of 20
Find the answer I need it for Get More Math
Answer:
10
Step-by-step explanation:
1/2 of 20 is 10
Answer:
10
Step-by-step explanation:
Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches
Answer:
4 inStep-by-step explanation:
Use ratios and solve:
1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 inb
– 2 =
7
8
Write your answer as a fraction or as a whole or mixed number.
b =
Answer:80
Step-by-step explanation:
