Answer:
First option. 76.77
Step-by-step explanation:
The distributive property of the multiplication with respect to the sum can be written as:
[tex]x ( y + z ) = xy + xz[/tex]
We can take advantage of this property to find the product of 9*8.53 if we write:
8.53 = 8 + 0.53, thus:
[tex]9*8.53=9*(8+0.53)[/tex]
Applying the distributive property:
[tex]9*8.53=9*8+9*0.53[/tex]
Operating:
[tex]9*8.53=72+4.77=76.77[/tex]
Thus:
9*8.53=76.77
First option. 76.77
Which ratio is proportional to the ratio 1/5
−14x − 5= −10x − 45
what is x?
Answer:
x = 10
Step-by-step explanation:
-4x = -40
x = 10
The sum of a numerator and denominator of a fraction is 18. If the denominator increased by 2, the fraction reduces to 1/3. Find the fraction.
Sum of the numerator and denominator = 18
If the denominator is increased by 2 , the fraction reduces to 1/3.
Find:the fraction
Solution:Let the fraction be x/y.
⟹ x + y = 18
⟹ x = 18 - y -- equation (1)
And,
If the denominator is increased by 2 , the fraction reduces to 1/3.
⟹ x/y + 2 = 1/3
⟹ 3x = y + 2
Substitute the value of x from equation (1).
⟹ 3(18 - y) = y + 2
⟹ 54 - 3y = y + 2
⟹ 54 - 2 = y + 3y
⟹ 52 = 4y
⟹ 52/4 = y
⟹ 13 = y
Substitute the value of y in equation (1).
⟹ x = 18 - 13
⟹ x = 5
Therefore, the required fraction x/y is 5/13.
I hope it will help you.
Regards.
Answer:
Length is twice the breadth.
→ Length = 2 * x = 2x m.
Also,
Perimeter of the field = 150 m.
We know that,
Perimeter of a rectangle = 2(length + breadth).
Hence,
→ 150 = 2(x + 2x)
→ 150 = 2 * 3x
→ x = 150/2 * 3
→ x = 25
Step-by-step explanation:
If Sn=-15, a1=12, d=-3 what is the value of n?
Ah yes.
Refer the pictures at the bottom. Let me know in comments if you can access the pdf given.
Which equation represents the graph? y= 10x 50 10x +50 y= 50x 10 50x+1
Answer:
your answer is y= 10x+50
Step-by-step explanation:
just bc
Ken, a meteorologist, is predicting next year's temperatures in New York City. He predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September. Ken's predicted temperature for September is how many ºC
Answer:
16 °C
Step-by-step explanation:
We are told that Ken predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September.
Now, in a standard 12 month calendar, the month of August comes before the month of September.
Thus, in September a drop off by 4°C from 20°C means that the new temperature in September is; 20°C - 4°C = 16 °C
Answer:
16
cause why not
y varies inversely as x . If x = 4 then y = 9. Find y when x = 3.
Anyone help?
Answer:
12
Step-by-step explanation:
Given, x and y are inversely proportional.
So, the equation is xy=k, where k is the constant of proportionality
x=4, y=9. plug in the values to find k.
k=4*9 = 36
When x=3, y = k/x =36/3 = 12
y=12, when x=3
can someone pls solve this for me? (:
Answer:
8mm - Ladybug
8cm - Battery
12cm - Frog
19cm - Toothbrush
1000km - Texas
40m - Ferris Wheel
12m - Helicopter
70cm - Desk
I think this might be right.
I hope this helps!
HELLLLLLLLLLLLLLp
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values.
Answers:
k = 23k = 10k = 5k = 2k = -2k = -5k = -10k = -23There are eight items in that list above.
===================================
Explanation:
We'll use the AC method of factoring.
The first term has coefficient 3. The last term is -8. Multiply them to get 3*(-8) = -24.
Now let's list all the ways to multiply two integers to get -24
-1*24-2*12-3*8-4*6-6*4-8*3-12*2-24*1For each pair of factors listed, we'll add up those pairs. Each sum we get represents a possible value of k
k = -1+24 = 23k = -2+12 = 10k = -3+8 = 5k = -4+6 = 2k = -6+4 = -2k = -8+3 = -5k = -12+2 = -10k = -24+1 = -23Note the symmetry. For instance we have 10 as one sum and -10 as another sum.
-------------------------------
Let's go over an example. Let's say that k = 10
The expression 3x^2+kx-8 turns into 3x^2+10x-8
From the list above, we see that -2+12 = 10. So the two values -2 and 12 will help us factor.
Break up the 10x into -2x+12x and then factor by grouping like so
3x^2 + 10x - 8
3x^2 - 2x + 12x - 8
(3x^2 - 2x) + (12x - 8)
x(3x-2) + (12x - 8)
x(3x-2) + 4(3x - 2)
(x+4)(3x-2)
Therefore, 3x^2 + 10x - 8 factors into (x+4)(3x-2)
We can use the FOIL rule, distribution, or the box method to confirm this.
I'll let you try out other values of k to see how 3x^2+kx-8 factors.
The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?
Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132
$12 per month
$18 per month
$24 per month
$36 per month
Answer:
Answer is A: 12
Step-by-step explanation:
Did the quiz.
wanted to help people.
Answer:A -12 per month
Step-by-step explanation:Did the test
Luke borrowed 15000 to pay his college tuition after he graduates he will repay the loan along with simple interest after 2 years luke will owe a total of 17250 what is the simplest interest rate on lukes loan
Answer: 7.5%
Step-by-step explanation:
Given: Principal amount = $15,000
Time =- 2 years
Final Amount (Principal + interest)= $17,250
Interest = Final Amount - Principal amount
= $ ( 17250 - 15000 )
= $ 2250
Formula for interest : principal x rate x time
[tex]2250=15000\times rate \times 2\\\\\Rightarrow\ rate =\dfrac{2250}{15000\times2}\\\\\Rightarrow\ rate =0.075\\\\\Rightarrow\ rate =0.075\times100\%=7.5\%[/tex]
Hence, the simplest interest rate on lukes loan =7.5%
Which is a graph of a proportional relationship?
Answer:
C
Step-by-step explanation:
I cant see the whole thing but if graph C starts from the origin or point 0,0 its proportional.
Please answer this ASAP
Answer:
4,2
Step-by-step explanation:
The slope of the line is 2.
All you have to do is rise/ run.
Rises 6 runs 3.
So 6/3.
Simplify iff possible, and in this case it is possible. Which gives you 2.
Answer is 2.
Find the modeof the set 7,4,3,5,4,6,2
Answer:
what do you mean the mode
Mai bought a bag of groceries for $20.00 and four board games. Mai paid $108.00 for the entire purchase. How much money did Mai pay for one board game?
A.
g = $44.00
B.
g = $22.00
C.
g = $20.00
D.
g = $108.00
Answer:
22
Step-by-step explanation:
108- 20 to get 88 then divide by 4
Answer:
B; g = $22
108-20=88
88/4=22
Step-by-step explanation:
Hope this helps! <3
GOODLUCK.
Whats the answer?????
Answer:
oof we just went over that
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
diffusion is move from high to low
i need help asap .....
Answer:
-3.25
Step-by-step explanation:
Just plug then in 2(1/2)+3(1/4)-5
John has a total of 14 coins in his pocket consist of quarters, dimes, nickels, and pennies. He has a total of $1. 67. How much of each coin does John has?
Answer:
15.67
Step-by-step explanation:
14+1.67=15.67
A 2nd baseman throws a baseball toward the 1st baseman 60 feet away. The path of the ball is given by f(x)=-0.004x^2+0.3x+6, where f(x) is the height of the ball (in feet) and x is the horizontal distance from the 2nd baseman (in feet). The 1st baseman can reach 8 ft high. Can the 1st baseman catch the ball without jumping?
Answer:
The 1st baseman can't catch the ball without jumping.
Step-by-step explanation:
To know if the 1st baseman can catch the ball without jumping we need to find the height reached by the baseball by solving the following equation:
[tex] f(x) = -0.004x^{2} + 0.3x + 6 [/tex]
We know that x (the horizontal distance) = 60 feet, so we have:
[tex] f(60) = -0.004(60)^{2} + 0.3(60) + 6 [/tex]
[tex]f(60) = 9.6 ft[/tex]
Since the 1st baseman can reach 8 ft high and the height reached by the baseball is 9.6 ft, the 1st baseman can't catch the ball without jumping.
Therefore, the 1st baseman can't catch the ball without jumping.
I hope it helps you!
PLEASEEEE HELPPPPP someoneeee I don’t want to fail :(
Answer:
write answer is 600,, 100% sure
Lol , so this question is from your school google forms? ; )
Answer is 600. Lemme show you how.
Y is proportional to x.
y ∝ x
to remove proportionality , we put k.
y = kx
Now , insert values of y and x to find k.
60 = k *75
k = 75 / 60
Now when Y = 480 , x =?
x = (75/60)(480) = 600.
X = 600
Robert bought 3 baseball caps for the same amount and 1 baseball jersey that cost $45. Without tax, the total cost of the items is $90. What is the cost of each baseball cap?
Answer:
Unitary cost= $15
Step-by-step explanation:
First, we need to calculate the total cost of the baseball caps:
Total cost baseball caps= 90 - 45
Total cost baseball caps= $45
Now, the unitary cost of each baseball caps:
Unitary cost= total cost / number of units
Unitary cost= 45/3
Unitary cost= $15
Myra owns a car service that charges a $5 flat rate and an additional $0.50 per mile.
A: y = 0.5x + 5
B: y = 5x – 0.5
C: y=0.5x-5
D: y=5x+0.5
Answer: y=0.5x+5
Step-by-step explanation:
just did it on edg
Answer:
B.
Step-by-step explanation:
which example describes measuring area
Answer:
Of what?
Step-by-step explanation:
The cost of a gallon of milk is $3.27 each. What is the maximum number of milk cartons you can buy for $20?
Answer:
6
Step-by-step explanation:
20 divided by 3.27 is 6.11 but you can't have .11 of a milk carton.
Do this plz ;/ to lazy, dont answer id u dont know or else (;
Answer:
it would be the one after eight so put it on the 9 mark
Step-by-step explanation:
hope u get it right if not srry
Write the equation of a line with the slope -3 and y-intercept of 7
O y = 3x + 7
O y=-3x +7
O y = 7x + -3
O y = 3x - 7
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 and c = 7 , thus
y = - 3x + 7 ← equation of line
700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
140 teenagers attended the game.
Need help on this question, giving 10 points.
Answer:
decrease
Step-by-step explanation:
theres less bars on y than x so it went down
As you ride a Ferris wheel, your distance from the ground varies sinusoidally with
time. You enter the Ferris wheel from the bottom, which is 8 feet from the ground.
The Ferris wheel has a diameter of 60 feet and makes a full revolution every minute.
What is your height above the ground at t = 20 seconds?
a) 46 ft b) 47 ft c) 53 ft d) 54 ft
Answer:
i think it would be b/47
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
2s+(−4s)
(2 s) + ((−4) s) =
-2 seconds
