9514 1404 393
Answer:
each equation can be transformed to the other
Step-by-step explanation:
Starting with the given equation, we can subtract 4, then multiply by 2:
x + 5 = 15
x + 5 - 4 = 15 - 4
x + 1 = 11
2(x + 1) = 2(11)
2(x +1) = 22 . . . an equivalent equation
The properties of equality allow one equation to be transformed into the other.
Marco runs 22 miles in four hours. What is his unit rate?
Answer:
5.5
Step-by-step explanation:
What percent of 300 is 67?
If Q(x) = 6x2 - 1, find Q(-7).
Answer:
[tex] \huge \boxed{Q( - 7) = 293}[/tex]
Step-by-step explanation:
[tex]Q(x) = {6x}^{2} - 1[/tex]
To find Q(-7) , insert the value of x that's - 7 into Q(x). That is for every x in Q(x) , replace it with - 7
We have
[tex]Q( - 7) = 6 ({ - 7})^{2} - 1 \\ = 6(49) - 1 \\ = 294 - 1[/tex]
We have the final answer as
[tex]Q( - 7) = 293[/tex]
Hope this helps you
Write and solve an equation to answer the following question. The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?
a. 790 mi
b. 1580 mi
c. 395 mi
d. 3820 mi
Answer:
1580 miles
Step-by-step explanation:
We can represent the total cost for the rental with the equation d=560+0.5m where d is the cost and m is the miles driven. We know this equation works as 560 is the fixed cost, and it costs $0.5 per mile, and in math, "per" means multiplication.
Now we can solve for m as we know that d=1350 in this case.
Solving we get:
1350=560+0.5m
790=0.5m
1580=m
Thus, they drove 1580 miles.
Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign.
Answer:
6.2
Step-by-step explanation:
Use the formula for calculating compound interest PN=P0(1+rk)Nk where r is the unknown, PN=2275, P0=1900, k=1, and N=3. Substitute the values into the formula and simplify.
2275=1900(1+r1)3⋅1
Let's simplify within the parenthesis and the exponent.
2275=1900(1+r)3
Divide both sides by 1900.
22751900=(1+r)3
To isolate the variable, take the cube root of each side.
22751900−−−−−√3=1+r
Subtract 1 from each side to get r by itself.
22751900−−−−−√3−1=r
Simplify for an answer of r≈0.062 which is the interest rate 6.2%.
Given that f (x) = 4x – 5 and g(s) = 3x, write a function that represents g (f(x)). Show your
work
Question in the pic
Answer:
y= 2/3x -1
Step-by-step explanation:
1. b = -1
2. slope = 2/3
Diego scored 100 points less than Maria on a game. Maria scored 850 points on the game. Which expression shows the number of points Diego scored?
A. 850+100
B. 850 -100
C. 85+100
D. 85-100
Answer:
B. 850-100
Step-by-step explanation:
Less than means you should take away (subtract). Since Diego scored less than Maria you are taking the number of points Diego got away from Marias points. So it would be 850 take-away 100, or 850-100.
70.5 rounded to the nearest whole number
Answer:
71
Step-by-step explanation:
the fractional part is 5 and 5 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get the answer Therefore, we add 1 to the integer part and remove the fractional part to get 70.5 rounded to the nearest whole number which is 71
Given (x - 1)2 = 50, select the values of x.
x = -49
X = 51
x= 1+5VE
x-1-52
Answer:
x = 26
Step-by-step explanation:
(x - 1) 2 = 50
or, 2x - 2 = 50
or, 2x = 50+2
or, 2x = 52
or, x = 52/2
or, x = 26
hence, x = 26
Where is the mistake she made and explain why please help??????????????
The first mistake is that she went from 3x-2 to 3x+2. Everywhere you see "3x+2", change it to "3x-2".
Another mistake is we shouldn't use absolute value in this case. This is because we're dealing with an odd number index. In this case, the index of the root in the original equation is 3. Because there isn't any absolute value, we won't have a plus/minus.
So we should have 3x-2 = 8 for the third to last step. That solves to x = 10/3 as the only solution.
The fraction model below the steps that a student performed to find a quotient. Which statement best interprents the quotient.
Answer:
7436947
Step-by-step explanation:
Which are equal to the
product?Check all that apply.
3 2/5 x 1/2
17/5
17/10
1 5/7
1 7/10
3 2/5
Answer:
17/5x1/2=17/10
Step-by-step explanation:
improper fraction---17/10
(1 7/10)[into mixed fraction
Determine the difference in area between circle A and circle B
[tex]π \times ({15})^{2} - π \times ({6})^{2} = [/tex]
[tex]π \times ( {15}^{2} - {6}^{2}) = π \times (225 - 36) = \\ [/tex]
[tex]189π[/tex]
Explain because i have to show my work please and thank you
Answer:
D.) [tex]y=19.99x+30[/tex]
Step-by-step explanation:
x represents the hours. The magician charges $19.99 per hour. "Per" means multiplication, so:
[tex]19.99*x[/tex]
[tex]19.99x[/tex]
adding the travel and miscellaneous expense:
[tex]19.99x+30[/tex]
This represents the total charge, represented by y:
[tex]y=19.99x+30[/tex]
:Done
Help me solve this problem please
Answer:
b
Step-by-step explanation:
what is the difference between -4 and 6
Answer:
-10
Step-by-step explanation:
you just subtract -4 by 6 and get -10
Answer:10
Step-by-step explanation: Because -4 is four numbers away from zero, and Then add that to six.
The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is twenty less than angle A. Write and solve a system of equations using substitution. Write and solve a system to determine the measure of angles A, B, and C.
Answer:
[tex]A = \frac{220}{3}[/tex]
[tex]B = \frac{160}{3}[/tex]
[tex]C = \frac{160}{3}[/tex]
Step-by-step explanation:
Given
[tex]A + B + C = 180[/tex]
[tex]B = C[/tex]
[tex]B = A- 20[/tex]
Required
Solve for A, B and C
The equation binding A, B and C have been written out (above)
Substitute C for B in [tex]A + B + C = 180[/tex]
[tex]A + B + B = 180[/tex]
[tex]A + 2B = 180[/tex]
Substitute A - 20 for B
[tex]A + 2(A - 20) = 180[/tex]
[tex]A + 2A - 40 = 180[/tex]
[tex]3A - 40 = 180[/tex]
Solve for 3A
[tex]3A = 180 + 40[/tex]
[tex]3A = 220[/tex]
[tex]A = \frac{220}{3}[/tex]
Solve for B in [tex]B = A- 20[/tex]
[tex]B = \frac{220}{3} - 20[/tex]
[tex]B = \frac{220 - 60}{3}[/tex]
[tex]B = \frac{160}{3}[/tex]
Recall that [tex]B = C[/tex]
[tex]C = \frac{160}{3}[/tex]
12=3y-y+4y
i know that y=2 but i need to know the step by steps
Answer:
This is my best explanation
Step-by-step explanation:
3y-y=2y
2y+4y=6y
Now you need to divide 12 by 6 to get the value of y
That will be 12/6=2
So, y=2
Have a nice day.
Answer:
Step-by-step explanation:
12 = 3y - y + 4y
combine ys
3- 1 = 2
12 = 2y +4y
12 = 6y
divide,
12/6
y=2
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer:
14. B15. BStep-by-step explanation:
14...................................
11 2/3 pages in 15 minutes
35/3 ⇔ 1535/3 ÷ 15 ⇔ 15÷1535/45 ⇔ 17/9 ⇔ 17/9 pages per min
Option B
15....................................
5 2/3 meters in 1/3 hours
17/3 ⇔ 1/3 17 ⇔ 117 meters per hourCorrect option is B
Answer:
14. B
15. B and D
Step-by-Step Explanation:
Question 14:
11 2/3 ÷ 15
35/3 * 1/15
35/45
7/9
Therefore, the answer is B.
Question 15:
We need to divide to find the unit rate. 5 2/3 ÷ 1/3
17/3 * 3/1
51/3
17
Find the length if Farrah walks 1/5 of an hour.
1/5 * 17 = 3 4/5
Therefore, the answer is B and D.
Best of Luck!
Dylan is playing with a see-saw on the playground. He puts a piece of tape at specific distances from the center of the see-saw so that there ratio of the distance between the center and the tape and the distance between the center and the right end is always a common fraction. Dylan then records the relationship between the height of the tape and the height of the left end of the see-saw, relative to a neutral position.
Use the pattern you observe in the table below to correctly complete Dylan’s conjectures.
distance from center to tapedistance from center to right end
height of tape
(centimeters)
height of left end
(centimeters)
12
−1
2
12
2
−4
13
−2
6
13
1.5
−4.5
If the tape is placed at 13 of the distance between the center and right end, when the left end is at a height of 18 centimeters, relative to a neutral position, the tape will be at a height of
centimeters, relative to a neutral position.
If the tape is placed at 14 of the distance between the center and right end of the see-saw, then the height of the left end will be
times the height of the tape, relative to a neutral position.
Answer:
wait is there a pic
if there is i need that
Step-by-step explanation:
Three more than twice a number is less than negative nineteen. Solve the inequality for the unknown number.
Answer:
-12.5
Step-by-step explanation:
You wanna do it inverse backwards
-19 divided 2 = -9.5
-9.5 minus 3 = -12.5
Caitlin drew a line 4.3 m long.
How many centimeters long is the line? (1 m = 100 cm)
Enter your answer in the box.
Answer:
430 centimeters
Step-by-step explanation:
Answer:430
Step-by-step explanation:
how many 1/4 pound burgers can you make from 3 1/2 ponds of ground beef
Answer:
14
Step-by-step explanation:
If each burger is 1/4 pounds, that means one pound of ground beef makes 4 burgers. There are 3 1/2 pounds, which means 3 pounds makes 12 burgers and 1/2 pounds makes 2 burgers. 12+2=14
3 1/2 x 18
A 61 1/2
B 31 1/2
C 54
D 63
Answer:
D 63
Step-by-step explanation:
First convert 3 1/2 to a decimal. Then multiply 3.5 by 18.
Give the domain and range of each relation. tell wether the relation is a function. Explain.
Answer:
See below
Step-by-step explanation:
Given relations
Answer to each question below
1..................................
Domain: [0, 4]
Range: [0, 4]
Function? Yes
Explanation: Each input has exactly one output
2..................................
Domain: {8, 9}
Range: {-3, -4, -6, -9}
Function? No
Explanation: Each input has more than one output
3..................................
Domain: {0, 1, 2}
Range: {4, 5, 6, 7, 8}
Function? No
Explanation: Some inputs have more than one output
0.000229 into a scientific notation
Answer: -4
Step-by-step explanation: :\
how to solve number 16
Answer:
T < -19
Step-by-step explanation:
At present, the highest peak of the Appalachian Mountains is 6,684 feet. Millions of years ago, before weathering and erosion had occurred, the highest peak was about 30,000 feet. What is the difference between the highest peak millions of years ago and the highest peak today? Explain how you know your answer is reasonable. Enter the correct numbers in the boxes to show the answer and to complete the explanation.
Answer:
23316ftStep-by-step explanation:
in this problem, we are expected to solve for the change in height of the Appalachian Mountains
given that
the initial height was = 30,000 feet.
the current height is=6,684 feet.
Due to erosion the change/difference in height is give as
change/difference=30000 -6684
change/difference=23316ft
this means that for millions of years ago 23316ft of Appalachian Mountains have been eroded
Can you please tell me What is 25x4
Answer:
The answer is 100
Step-by-step explanation: