Answer:
a= 5
Step-by-step explanation:
3 (a-7)= 14-4a -Remove Parentheses
3a-21=14-4a -Move the terms
3a+4a=14+21 -Collect like terms
7a=35 -Divide both sides
a=5 - Solution
This is the two that go together, but are separate questions
Answers:
Option 1)
6a + 8s = 102
14a + 4s = 150
each adult ticket costs 9 dollars
===================================================
Explanation:
6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102
14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150
The system of equations is
[tex]\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}[/tex]
If we multiply both sides of the second equation by -2, we get this updated system
[tex]\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}[/tex]
Add the equations straight down
6a+(-28a) = -22a
8s+(-8s) = 0s = 0 ... the 's' terms go away
102+(-300) = -198
So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.
Each adult ticket costs $9
If you want the value of s, then
6a+8s = 102
6(9)+8s = 102
54 + 8s = 102
8s = 102-54
8s = 48
s = 48/8
s = 6
Meaning each student ticket costs $6
Or you could use the other equation
14a+4s = 150
14(9)+4s = 150
126+4s = 150
4s = 150-126
4s = 24
s = 24/4
s = 6
We get the same value of s
in 2015, Oklahoma experienced 907 perceptible earthquakes (far surpassing California), for an average of about 2.5 perceptible earthquakes per day. Consider perceptible earthquakes that occur independently with a constant daily rate of 2.5 What is the probability that a given day would have 1 perceptible earthquake?
Please help with this:
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Answer:
Positive
Step-by-step explanation:
If thinking in the abstract doesn't work well for you, choose a couple of values that match the description:
a > 0, choose a = 1
b < 0, choose b = -1
Now, the product is ...
-4ab = (-4)(1)(-1) = 4 . . . a positive product
__
The product will be positive when the total number of minus signs of the factors is even. Here, there are 2 minus signs, so the product is positive.
What is the answer to 245 = 125 +15w
w=
Answer:
245-125=15w
120=15w
120÷15=w
w=8
The sum of 3 and a number is 16.
Answer:
13
Step-by-step explanation:
16-3 = 13
find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below
Answer:
y = 3x + 2
Step-by-step explanation:
First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2
The equation of the line is given by: [tex]y = 3x + 2[/tex]
----------------------------
The equation of a line, in slope-intercept formula, has the following format:
[tex]y = mx + b[/tex]
In which
m is the slope, that is, how much y changes when x changes by 1.b is the y-intercept, that is, the value of y when x = 0.----------------------------
Given two points (x,y), the slope is the change in y divided by the change in x.We have points (-1, -1) and (3,11). Thus:[tex]m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3[/tex]
Then
[tex]y = 3x + b[/tex]
----------------------------
Point (-1,-1) means that when [tex]x = -1, y = -1[/tex], and we use this to find b.
[tex]y = 3x + b[/tex]
[tex]-1 = 3(-1) + b[/tex]
[tex]b = -1 + 3 = 2[/tex]
Thus
[tex]y = 3x + 2[/tex]
A similar problem is given at https://brainly.com/question/13251894
8 vanilla cones, 15 strawberry cones, and 25 chocolate cones in one evening. What percent of the cones sold were strawberry?
Answer:
33 1/3%
Step-by-step explanation:
Jenn swam ⅕ mile in ¼ hour. What is her unit rate in miles per hour?
Answer:
1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph
Step-by-step explanation:
Answer:
0.80mph
Step-by-step explanation:
If 1/5 = 1/4, then:
she swims 1/5 miles for every 1/4 (fourth) of an hour
per hour means 1 hour
we must covert 1/4 to 4/4 (one mile)
1/4 × 4/1 = 4/4
if we multiply by 4/1 to get to 4/4, then we must also multiply by 4/1 for 1/5 miles
1/5 × 4/1 = 4/5
Her unit rate in miles per hour is 4/5 per 1 miles, or 0.80mph
*0.80 = 4/5 because 4 × 20 = 80 and 5 × 20 = 100; 80/100 = 0.80*
Which of the following is closest to 1/2 + 1/3
Answer:
The answer is 5/6.
Step-by-step explanation:
1/2=3/6, and 1/3=2/6. 2/6+3/6=5/6
The number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.
What is the fraction number?A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here, (a) is the numerator and (b) is the denominator.
We have to find the addition of two fraction number 1/2 and 1/3. Suppose the value which is closest to 1/2 + 1/3 is n. Thus,
[tex]n=\dfrac{1}{2}+\dfrac{1}{3}\\[/tex]
Cross multiply to find the addition of two numbers,
[tex]n=\dfrac{3+2}{6}\\n=\dfrac{5}{6}\\n=0.833[/tex]
Thus, the number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.
Learn more about the fraction number here:
https://brainly.com/question/78672
#SPJ2
What do you notice about rectangles and
parallelograms? What is the same or different between
these two polygons?
Answer:
both have four sides and equal measures with the opposite side. Parallelograms are slanted while the rectangles are straight.
There are two whole numbers which whe
multiplied by itself gives the same number. Wh
are they
8. A taxi driver filled his petrol tank with 40 litres
petrol on one day and 45 litres of petrol on the
next day. If the cost of petrol is * 54 per litre,
the amount spent on petrol in these two days
9. A dairy supplies 40 litres of milk in the morn
and 50 litres of milk in the evening. If the
of milk ist 24 per litre, find the total sa
rupees.
8)
Petrol filled on Monday = 40 liters
Petrol filled on next day = 50liters
Total petrol filled = 90liters
Now, Cost of 1 liter petrol = Rs. 44
Cost of 90 liters petrol = 44 x90
= 44 x (100 – 10)
= 44 x 100 – 44 x10
= 4400 – 440
= Rs. 3960
Therefore, he spent Rs. 3960 on petrol.9
9)
Milk supplied in morning =40 liters
Milk supplied in evening =50 liters
Total milk supplied in one day = 90 liters
Cost of 1 litre milk =24 rupees
Cost of 90 liters milk=24 ×90
=2,160 ruees.
HOPE IT WILL HELP YOU.
PLEASE MARK IT AS BRILLIANT ANSWER.
Multiply each pair of factors. Type the product in
the space provided
(6 + 3)(6 - 31)
(4-57)(4+ 5) -
(-387)(-3 - 81) -
Answer:
I hope this help
The answer is 24
Answer:
45. Second part is -36 then -4+28i
41
72
Step-by-step explanation:
Just did on edg 2021
y = −x2 − 8x − 15 vertex
Answer: The vertex is (-4,1)
Explanation: I used -b/2a to find the x, then plugged in -4 to find the y, which is 1.
Vertical Angles: Vertical angles are angles that are opposite of each other when two straight lines cross. In
the diagram in #5, ZGEF and ZMEH are a pair of vertical angles while ZFEM and ZHEG are also.
(a) Given the results of your calculations in #5, what can you say about the measure of vertical angles?
(b) Why do you think this occurs?
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Answer:
vertical angles are congruentboth are supplementary to the same angleStep-by-step explanation:
Given the results of #5 are ...
∠GEF = 120, 150, 155, 135
∠FEM = 60, 30, 25, 45
∠MEH = 120, 150, 155, 135
∠HEG = 60, 30, 25, 45
__
(a) We can see that vertical angles are congruent.
(b) Each of a pair of vertical angles is supplementary to the same angle.
∠GEF and ∠MEH are both supplementary to ∠FEM and to ∠HEG
∠FEM and ∠HEG are both supplementary to ∠GEF and to ∠MEH
Provide steps to the equation. :)
Answer:
C. 90°Step-by-step explanation:
Angle ABC is the sum of angles ABD and DBC as per angle addition postulate
As per given we have isosceles triangles ABD and BCD
ADC is straight angle, therefore:
2x + x = 180°3x = 180°x = 60°Triangle ABD∠BAD = ∠ABD = 1/2(180° - 2x) = 1/2(180° - 120°) = 1/2(60°) = 30°Triangle BCD∠BDC =∠ BCD = x = 60°∠DBC = 180° - 2*60° = 180° - 120° = 60°So the angle ABC∠ABC = ∠ABD + ∠DBC∠ABC = 30° + 60° = 90°A rectangular kitchen is 11 ft by 17 ft. How many square tiles, each with a perimeter 24 inches, are needed to cover the floor?
Answer:
7.7916
Step-by-step explanation:
Multiply 11 by 17 which equals 187,
do 187 / 24 which equals 7.7916 tiles.
Hope this helps!
write each rate as a fraction in lowest terms 20 feet in 40 seconds
Answer:
1/2 feet per second.
Step-by-step explanation:
A circle with radius ris inscribed inside a square with a side length s. Use 3. 14 for TT Round answer to the nearest hundredth if necessary
If s = 10 millimeters and r = 5 millimeters, calculate the area of the shaded region
square millimeters
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Answer:
21.46 mm^2
Step-by-step explanation:
The area of the square is ...
A = s^2 = (10 mm)^2 = 100 mm^2
The area of the circle is ...
A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2
Then the shaded area is ...
100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area
BRAINLIEST TO FIRST ONE THATS CORRECT ANSWER!!
Find the area of the patio
15,077,500
Area= W * H
In this case area would be 1850 * 8150 which equals 15,077,500
Many states run lotteries to raise money. A website advertises that it knows "how to increase YOUR chances of Winning the Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a "lucky" number to play, but maybe some numbers are luckier than others. Let's use a simulation to see how well this system works. To make the situation manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be picked, but for this exercise, pick 1 as the lucky number. What proportion of the time do you win? Run 60 trials using the random numbers given below, starting with the first number. 89064 27308 64568 14121 98226 65388 58732 85801 69902 78431 10380 42006
Answer:
10 percent
Step-by-step explanation:
hello,
from this question, it has been stated that the lucky number is 1
from all of these values below we are to account how many times 1 appeared in these numbers have
89064, 27308, 64568 ,14121, 98226, 65388, 58732, 85801, 69902, 78431, 10380, 42006.
the total number of 1 is 6
= 6 x 1 divided by the number of trials 60
= 6 x 1/60
= 0.1
to get the proportion, we multiply 0.1 by 100
0.1 x 100
= 10%
(4x3) x 6= (2x3) x is what
Answer:
4 x 3 = 12 x 6 = 72
2 x 3 = 6 x 12 = 72
x = 12
Step-by-step explanation:
The answer is at the top
A rectangle has length 4 yards more than its width. The area of the rectangle is 96 square yards. Find the
length and the width.
Answer:
Length = 12
Width = 8
Step-by-step explanation:
Area of a Rectangle = l x w
12 x 8 = 96
Gillian bakes 216 cookies on Monday. She bakes 151 more cookies on Tuesday than on Monday. She bakes 85 cookies on Wednesday. How many cookies did she bake in all? Explain.
Answer:
452
Step-by-step explanation:
216+151+85=452
Please help thank you
I can't see the whole paper the sentences is cut
solve the equation:
-5|3x+8|-5=-2
Answer:
x = -2 13/15
Step-by-step explanation:
-5(3x+8)-5=-2
start by multiplying out the 5 to the numbers in the parenthesis.
= -15x-40-5=-2
subtract 5 from -40
=15x-45=-2
add the 45 to itself to get rid of it and add it to -2
=15x=43
divide 43 by 15
=2.8666666666 or -2 13/15
The area of a square is 36 square inches. What is the perimeter of half the square?
The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.
The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:
A = s²
36 sq. units = s²
√(36 sq. units) = √s²
6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)
Therefore, ...
P = 4s
P = 4(6 units)
P = 24 units is the perimeter of a square whose area is 36 square units
A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long.If he paints 1/2 of the wall blue, how many square feet will be blue?
simplify the expression
(2x-6) - (4x+4)
Answer:
-2x - 10
Step-by-step explanation:
(2x-6) - (4x+4) multiply (4x+4) by -1 -1(4x + 4) = -4x - 4
2x - 6 - 4x - 4 Re-arrange
2x - 4x - 6 - 4
-2x - 10
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t = 1/500d. How long will it take the airplane to travel 800 miles? 400 miles? 200 miles?
please refer to this...............
Use the Distributive Property to write an expression equivalent to 5 x (3 + 4)
Answer:
15 + 20
Step-by-step explanation:
Step 1: Write expression
5 × (3 + 4)
Step 2: Distribute 5 to each term
5(3) + 5(4)
Step 3: Simplify
15 + 20