Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).
Selina walked 2 1/2 miles in 2/3 hour. Dennis 6 3/4 miles in 1 1/2 hours. Who walked faster and how much faster?
Answer:
Dennis walked faster by 0.75 miles/hr
Step-by-step explanation:
a)Selina's speed
speed= distance
time
= 2.5 miles = 3.75 miles/hr = the slower
2/3 hrs
b) Dennis' speed
speed = distance
time
= 6.75 miles = 4.5 miles/hr = the faster
1.5 hrs
difference in speed:
faster - slower
4.5 - 3.75
=0.75 miles/hr
Dennis walked 0.75 miles per hour faster than Selina's speed.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
To determine Selina's speed
speed = distance/time
speed = 2.5 miles/(2/3) hour
speed = 3.75 miles/hour
To determine Dennis' speed
speed = distance/time
speed = 6.75 miles/(1.5) hour
speed = 4.5 miles/hour
Here Dennis' speed is greater than Selina's speed which means Dennis walked faster.
So the difference in speed = Dennis' speed - Selina's speed
The difference in speed = 4.5 miles/hour - 3.75 miles/hour
The difference in speed = 0.75 miles/hr
Thus, Dennis walked 0.75 miles per hour faster than Selina's speed.
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Which expression is equivalent to (x2+3x−5)− (4x2+3x−6)
PLEASE HURRY>>>>
A. 5x2+6x−11
B. −3x2+1
C. −3x2+1
D. −3x4+6x2+1
Answer:
B
Step-by-step explanation:
Given
x² + 3x - 5 - (4x² + 3x - 6) ← distribute parenthesis by - 1
= x² + 3x - 5 - 4x² - 3x + 6 ← collect like terms
= - 3x² + 1 → B
i need help it's 10th grade (sophomore) geometry
Answer:
1. 27
2. 1 and 2 = 17
3. 55
4. 55
5. 70
6. 125
7. 55
8. 95
9. 140
10. 40
11. 65
12. 75
13. 115
14. 27
15. 27
Step-by-step explanation:
question 8 pls help me please
Answer:
B
Step-by-step explanation:
A is Standard Intercept Form
B is Point Slope Form
The rest are used for other problems I'm unsure of
How do I solve 6a + 5a = −11
Answer:
a = - 1
Step-by-step explanation:
Step 1:
6a + 5a = - 11 Equation
Step 2:
11a = - 11 Combine Like Terms
Step 3:
a = - 11 ÷ 11 Divide
Answer:
a = - 1
Hope This Helps :)
The solution to the equation 6a + 5a = -11 is a = -1.
We have,
To solve the equation 6a + 5a = -11, we can combine the like terms on the left side of the equation and then isolate the variable a.
Step 1: Combine like terms
On the left side, we have 6a + 5a, which gives us 11a. The equation becomes:
11a = -11
Step 2: Isolate the variable
To isolate variable a, we divide both sides of the equation by 11:
(11a) / 11 = (-11) / 11
a = -1
Therefore,
The solution to the equation 6a + 5a = -11 is a = -1.
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Whats the constant of proportinality?
Answer:
1.5
Step-by-step explanation:
3÷2= 1.5
6÷4=1.5
12÷8= 1.5
A seventh-grade class is playing the Integer Game modified to include rational numbers. Write a multiplication or division equation to answer the following questions with reference to the Integer Game. Show all of your work.
a. Tobias removes three —3.25 cards from his hand. How does this affect the overall point value of the cards in his hand?
The point value of the cards in Tobias' hand will increase.
The point value of the cards in Tobias' hand will decrease.
b. The cards in Iman's hand had a value of 2.75, but then she added five -1.5 cards to her hand. What is the new value of the cards in her hand?
If 3a - 2 = 10, what is the value of 8a + 1?
Answer:
8a+1=33
Step-by-step explanation:
you can solve 3a-2=10 by simplifying to 3a=12, so a=4. Then you replace the a in 8a+1 with 4 to get 32+1, which is 33
Answer:
33
Step-by-step explanation:
3a-2= 10
3a=12
a=4
in this equation a=4 so you substitute that value into the other equation
8(4) +1=33
Which polygon has one set of parallel sides and at least one right angle? On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides. On a coordinate plane, a polygon has 1 set of parallel sides and 1 right angle. On a coordinate plane, a polygon has no parallel sides.
Answer:
the answer would be option C. I just took the quiz
Step-by-step explanation:
i took the test!!!!!
The ratio of cars to trucks is 3 to 2 in one parking lot
If there are 14 trucks, how many cars are there?
(I need help on that question)
Answer:
21
Step-by-step explanation:
[tex]\frac{x}{14} =\frac{3}{2} \\x=\frac{3}{2} \times 14=21[/tex]
Answer:21 cars to 14 trucks
Step-by-step explanation:
What is $500= blank+ $600
Answer:
-100$
Step-by-step explanation:
Adding a negitive number to a positive number is basically subtracting it, and since 600-100 is 500 that means 600 + -100 is also 500.
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively. If at the end of the year. Ansah received Gh€ 5.000.00 more than boadu how much was boadu shared?
Answer:
Step-by-step explanation:
The share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
Let 4x be the share of Boadu and 5x be the share of Ansah
4x + 5x = 5,000,00
9x = 5,000,00
x = 55555.55
The share of Boadu = 4x = 4(55555.55) = 222,222.22
Thus, the share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
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How to solve 9(-4k+8b) b=-9 k=4
Answer:
504
Step-by-step explanation:
I hope this helps you out!
can someone help me please. thanks!
Is this for a test or something?
Simplify -4b + (-9k) - 6 - 3b + 12
Answer:
-7b - 9k + 6
General Formulas and Concepts:
Alg I
Combining like termsStep-by-step explanation:
Step 1: Define expression
-4b + (-9k) - 6 - 3b + 12
Step 2: Simplify
Rewrite: -4b - 9k - 6 - 3b + 12Combine like terms (b): -7b - 9k - 6 + 12Combine like terms: -7b - 9k + 6A passenger on a stranded lifeboat shoots two distress flares into the air. The first flare travels a maximum height 196 feet and lands in the water after 7 seconds. The height (feet) of the second flare above the water is given by f(t) = -16t(t-8), where t is time (seconds) since the flare was shot. Which flare travels higher? Which remains in the air longer?
Answer:
The second flare travels higher, 256 feet, and remains in the air longer, 8 seconds, than the first flare
Step-by-step explanation:
The given parameters are;
The height of the first flare = 196 feet
The duration the first flare spends in the air = 7 seconds
The function representing the height of the second flair is f(t) = -16t(t - 8)
Where;
t = The time since the passenger shot the second flare
The time the flair stays i the air is given by the time it takes for the height, f(t), to be 0 as follows;
f(t) = 0 = -16t(t - 8)
-16t(t - 8) = 0
t = 0, or t = 8
The time the second flare stays in the air = 8 seconds
The maximum height reached by the second flair is given by the finding the maximum point of the curve of the function as follows;
d(f(t))/dt = 0 = d(-16t(t - 8))/dt = -32t + 128 at the maximum point (the coefficient of t² is negative in the quadratic equation)
-32t + 128 = 0
128 = 32t
32t = 128
t = 128/32 = 4
t = 4 at maximum height and f(4) = -16 × 4 × (4 - 8) = 256 feet
The maximum height reached by the second flare f(4) = -16 × 4 × (4 - 8) = 256 feet.
Therefore, the second flare travels higher, 256 feet, and remains in the air longer, 8 seconds, than the first flare, with maximum height of 196 feet, and time in the air of 7 seconds.
A number divided by three less two is at most two
Answer:
6
Step-by-step explanation:
6/3 = 2
Mrs.Johnsons new car has an 18 gallon gas tank. If she can travel 400 miles on one tank of gasoline, what is her miles per gallon rate to the nearest whole number
Answer:
22
Step-by-step explanation:
400/18=22.222222222
Round to 22
Graph the inequality 4.r - y< 8
Pleaseee help a girl out
Answer:
?
Step-by-step explanation:
A Sub
sentence.
DVD Deals
Anthony and Miguel go to the store to purchase some new DVDs. An
advertisement in the window catches their attention.
DVD
T
Deals!
3 for $22,50
5 for $37.50
응
.
Part A (2 points)
Does the information on the sign represent a proportional relationship?
Explain how you know.
6
Answer: Yes. There's a proportional relationship
Step-by-step explanation:
We are told that Anthony and Miguel go to the store to purchase some new DVDs and that an advertisement in the window catches their attention as they saw that:
3 DVDs cost $22,50. This means the price of one will be:
= $22.50 / 3
= $7.50
5 DVDs cost $37.50. This means that the price for one will be:
= $37.50 / 5
= $7.50
Since the price of a DVD both cost $7.50, it means that the information on the sign represent a proportional relationship.
Bob is having a cookout. He bought 6 liters of seltzer water. How many full 1-pint servings of seltzer can he pour?
(1 L = 2.11 pt)
a. 6
c. 18
b. 12
d. 21
Answer:
B
Step-by-step explanation:
6 x 2.11 = 12.66
The value of a 1-pint serving of shelter will be 12.66 liters. The correct option is b.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.
Given that Bob is having a cookout. He bought 6 litres of seltzer water. The quantity of water for 1 point of serving is,
Quantity = 6 x 2.11
Quantity = 12.66
The quantity will be equal to 12.66 pints.
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pls help!!! look at picture
Answer:
8.5 hours
Step-by-step explanation:
a). 10h + 45 = 130
b). 10h = 130 - 45 ⇒ h = 8.5 hours
Angles A and B are supplementary angles. The mZA = (9x - 12) and the mZB = (24x + 60).
Answer:
/ A = 24°
/ B = 156°
Step-by-step explanation:
Supplementary angles add up to 180°.
_________________________________
Therefore, / A + / B = 180
(9x - 12) + (24x + 60) = 180
9x - 12 + 24x + 60 = 180
33x + 48 = 180
33x = 180 - 48
33x = 132
x = 132/33
x = 12/3
x = 4
_________________________________
/ A = (9x - 12)
= (9(4) - 12)
= (36 - 12)
= 24°
/ B = (24x + 60)
= (24(4) + 60)
= (96 + 60)
= 156°
_________________________________
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Nell made a pizza.She cut the pizza into fourths.Then she cut each fourth into four pieces.Nell and her friends ate 6 of the smaller pieces of the pizza. What fraction of the pizza did Nell and her friends NOT eat?
Answer:
5/8
Step-by-step explanation:
They ate 6/16 which the left is 10/16 is 5/8
mia uses triangle A and says the slope of this line is 6/4.Elena use triangle B and say no,the slope is 1.5
Incomplete question.
WILL GIVE BRAINLIEST!!!!!!
Answer:
17.738
Step-by-step explanation:
to find x we’ll use sine
sin69=x/19
(remember that sine = opposite/hypotenuse)
so x = 19sin69
when typing this in your calculator you might need to change from radian to degree mode
HELPPPPPPPPPP!
The function y = 6x describes the distance in inches an electric toy train covers after x seconds. Use the graph to estimate how many inches the toy train will run in 8.4 seconds.
-0+2
Ezzzzzzzzzzzzzzzzzzzzzzzz
Given the general identity tan X = , which equation relating the acute angles, A and C, of a right ∆ABC is true?
Answer:
A. tan A = sin A / sin C
Step-by-step explanation:
Answer:
tan A = sin A / sin C
Step-by-step explanation:
Correct Answer Will get Brainliest
You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimensions.
9 ft x 9 ft
Answer:48.6
we know that
You can paint 75 square feet of a surface every 45 minutes
so
using proportion
Find out how long it takes you to paint a surface area of 81 square feet
45(81)/75=48.6
hope this helped and I hope you get a correct answer :D
Answer:
48.6 minutes
Step-by-step explanation:
First we must identify the area of the given wall :
A = L * W
A = 9 * 9
81 = 9 * 9
[tex]81ft^2[/tex]
Now we know that we can paint 75 square feet every 45 minutes so we must use proportion to find out how long it'll take you.
[tex]\frac{75}{45} *\frac{ft^2}{min}[/tex]
=
[tex]\frac{81}{x}[/tex] [tex]\frac{ft^2}{min}[/tex]
x = 45(81) / 75
x = 3645 / 75
x = 48.6 minutes