Answer:
It will take 21 years.
Step-by-step explanation:
First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.
4.5 + 1.75x = 40
Subtract 4.5 from both sides. This cancels out the +4.5.
1.75x = 40 - 4.5
Subtract 4.5 from 40 to get 35.5.
1.75x = 35.5
Divide both sides by 1.75. This cancels out the *1.75.
x = 35.5/1.75
Expand 35.5/1.75 by multiply both the numerator and denominator by 100.
x = 3550/175
Reduce 3550/175 by canceling out 25.
x = 142/7 = 20 2/7
Go up by one from 20 to get the answer of 21 years.
Johns business made $4500 in January and $8600 in March. What is the rate of change in his profit for this period?
Answer:
The rate of change will be positive because in march the profit has increased as compared to january.
Step-by-step explanation:
easy just dont have time
Solve for x.
ax + b = r
Answer:
x=r-b/a
Step-by-step explanation:
ax=r-b
x=r-b/a
Answer:
x = r - b/a
Step-by-step explanation:
ax + b = r (Given)
ax = r - b (Subtract b on both sides)
x = r - b/a (Divide a on both sides)
What is SSS, SAS, AAS, ASA
Answer:
Side side side, Side Angle Side, Angle Angle SIde, Angle Side Angle
Step-by-step explanation:
1. If you randomly select a piece of fruit from this jar, what is the P(orange)? Write answer as a simplified fraction.
2 oranges and 6 apples are in the jar
2.
M
28°
mZM =
N
L
mZNE
Answer:
28°
Step-by-step explanation:
..... ....... ..... ...
HELPPPPPPP! PLEASE HELLPPP
Answer: Gordon types 60 words per minute
What is ghe solution to this equation?
02(x - 20) = 44 - x
The given equation can be solved to obtain x = 40.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given linear equation can be solved as follows,
0.2(x - 20) = 44 - x
=> 0.2x + x = 44 + 0.2 × 20
=> 1.2x = 48
=> x = 48/1.2
= 40
Hence, the value of x for the given equation is found to be 40.
To know more about Linear equation click on,
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Find x using the Pythagorean formula.
What is 6/-1 expressed as an integer?
Answer:
-6
Step-by-step explanation:
f(x) = -3x2 - 6x +1
Find f(8)
HELP HURRY!!
Answer:
not totally sure if this is right but if thats one of the answer choices then i think it is f(x)=-95 (so srry if i'm wrong)
Can someone help me please?
Answer:
B) x = 2√2, y = 2
Step-by-step explanation:
The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45. This means that the two sides on the right angle are the same length, so y = 2.
With that then, you can use the Pythagorean theorem to solve for x:
[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]
So the correct answer is b. x is equal to two root two, and y is equal to two.
what is 8+3-2=a
helpppp
Alysha’s average speed when walking home from the market was 5 mph, and it takes her 21 minutes longer than when she drives to the market. If she drives along the same route, at an average speed that is 8 times her average walking speed, how many minutes does it take her to drive home from the market?
9514 1404 393
Answer:
3 minutes
Step-by-step explanation:
Let x represent Alysha's time to drive home from the market.
Speed and time are inversely proportional to each other (for the same distance), so we have ...
(walking speed)(walking time) = (driving speed)(driving time)
5(x +21) = (8·5)(x)
x +21 = 8x . . . . . . . . . divide by 5
21 = 7x . . . . . . . . subtract x
3 = x . . . . . . .divide by 7
It takes Alysha 3 minutes to drive home from the market.
18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.
Answer:
22Step-by-step explanation:
Let the number of sides ne n
Sum of interior angles:
180(n - 2)Sum of exterior angles:
360We have equation below to solve for n:
180(n - 2) = 10*360n - 2 = 20n = 22Find the next three terms of the following arithmetic sequence. -10, -3, 4, 11, (Three missing numbers)
Answer:
You can find the difference of two numbers easier if you take the absolute value of them (which is canseling out the negative or positive of them, and figuring out how far away from 0 they are) |-10| = 10, |-3| = 3, the difference between 10 and 3 is 7. The only problem that arises is now we are dealing with and negative and a positive, for this one you must see that to get from -3 to zero, you need to add 3, and to get from 0 to 4, you need to add 4, if you add 3, and then 4, you get 7
The difference between 10 and 3 is 7
The difference between -3 and 4 is 7
So naturally, the next number will be 4 + 7 = 11
Hope that helped!
Sam collects baseball cards. He gave 6 cards to his brother. He then got 4 new cards from his father. Sam now has 12 cards. How many baseball cards did he have before giving some to his brother
Answer:
14
Step-by-step explanation:
If he had 14 then he gave away 6, he'd have 8. 8 plus 4 is 12. He had 14 before giving any away.
A square of side 72 cm and a rectangle of length 90 cm have same perimeter. Find the difference in areas ?
A)216cm2
B)304cm2
C)324cm2
D)328cm2
Answer:
324 cm²
Step-by-step explanation:
→ Work out perimeter of square
72 + 72 + 72 + 72 = 288
→ Work out the width of the rectangle
288 - (90 × 2) = 108
108 ÷ 2 = 54
→ Work out area of square
72 × 72 = 5184 cm²
→ Work out area of rectangle
90 × 54 = 4860 cm²
→ Minus the areas from each other
5184 cm² - 4860 cm² = 324 cm²
Answer:
C) 324cm²
Step-by-step explanation:
1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)
2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)
3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle
4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)
5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)
Do you like my drawing
Answer:
yes!!!
Step-by-step explanation:
Answer: yes I like it
Step-by-step explanation:
HELP ASAP i need rest
Answer:
A
Step-by-step explanation:
To know the distance between the two on a number line, we subtract both numbers from each other
Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results
This means that option A is our answer
PLEASE ANSWER THIS!!!!!!
Answer:
the last one
Step-by-step explanation:
-3(x-4) = -9(x - 1)
X=?
Answer:
x = - 1/2
Step-by-step explanation:
-3(x-4) = -9(x - 1)
1. Distributive Property
-3 * x -3 *-4 = -9 * x -9 * -1
-3x + 12 = -9x + 9
Hint: 2 negatives make a postive
-3x + 12 = -9x + 9
2. Subtract 12 on both sides
-3x + 12 - 12 = -9x + 9 - 12
-3x = -9x + -3
3. Add 9x on both sides
-3x + 9x = -9x + 9x + -3
6x = -3
4. Divide both sides by 6 to isolate the variable
6x/6 = -3/6
x = - 1/2
Check:
-3(-1/2-4) = -9( -1/2- 1)
3/2 + 12 = 9/2 + 9
3/2 + 12 ( we need a common denominator so...lets make it 2 )
3/2 + 12*2/1*2
3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5
Now...
9/2 + 9 ( we need a common denominator so..lets make it 2 )
9/2 + 9*2/1*2
9/2 + 18/2 = 27/2 = 13 1/2 = 13.5
13.5 = 13.5 CORRECT!
27/2 = improper fraction
13 1/2 = mixed number
13.5= decimal form
Hope this helped
what is what what is the unit rate of what is the unit rate if armon by 6 shirts for $74.70
Answer:
7.8
Step-by-step explanation:
Solve the following:
x + 14 <2
Answer:
x is anything greater than -12
Step-by-step explanation:
Find the slope of the line -x = -3y + 9
Answer:
m= 1/3
Step-by-step explanation:
Barbie has a favorite number. The
quotient of her number and -4 is -90.
What is Barbie's favorite number?
Answer:
Is -4444444444
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
A quotient is the result of a division problem.
We must multiply -4 and -90.
-4 • -90 = 360
(There is no - because a negative multiplied by a negative equals a positive.)
What is the x intercept of the line below?
Answer:
i think it is -5
Step-by-step explanation:
-5
My brother needs help
Answer:
1.95
Step-by-step explanation:
i used scientific its a caculator
The number of of petals in a daisy garden is proportional to the number of daisies in the garden, as shown in the graph.
Answer: There are 200 petals on 25 daisies, so the constant of proportional is 8
Answer: the constant of proportionality is 8
Step-by-step explanation:
in triangle ABC, bisectors of angle A and angle C cross each other in point M. find angle ABC if it is half of AMC. (no shape given)
Answer:
[tex]\angle ABC=60[/tex]
Step-by-step explanation:
[tex][Kindly\ refer\ the\ image\ attachment.]\\We\ are\ given\ that,\\AM\ is\ the\ Angle\ Bisector\ of\ \angle BAC.\\Hence,\\\angle BAM= \angle MAC\\CM\ is\ the\ Angle\ Bisector\ of\ \angle BCA.\\Hence,\\\angle BCM= \angle MCA.\\Also,\\\angle AMC=2 \angle ABC[/tex]
[tex]Now,\\As\ we\ can\ observe\ that,\\\angle BCM + \angle MCA= \angle BCA\\\angle MCA+ \angle MCA= \angle BCA\ [\angle BCM = \angle MCA]\\Hence,\\2 \angle MCA= \angle BCA\\Or, \\\angle MCA=\frac{\angle BCA}{2} \\\\Similarly,\\\angle BAM + \angle MAC= \angle BAC\\\angle MAC + \angle MAC= \angle BAC\\2 \angle MAC = \angle BAC\\Or,\\\angle MAC=\frac{\angle BAC}{2}[/tex]
[tex]Through\ the\ Angle\ Sum\ Property\ of\ a\ Triangle,\ we\ know\ that:\\'The\ Sum\ of\ all\ interior\ angles\ of\ a\ triangle\ is\ 180.'\\Hence,\\In\ \triangle BAC,\\\angle ABC + \angle BCA + \angle CAB=180\\In\ \triangle MAC,\\\angle MAC+ \angle ACM + \angle AMC=180[/tex]
[tex]Hence,\\As\ \angle AMC= 2 \angle ABC, \angle MCA=\frac{\angle BCA}{2}, \angle MAC=\frac{\angle BAC}{2},\\2 \angle ABC+\frac{\angle BCA}{2}+\frac{\angle BAC}{2}=180\\By\ resolving\ the\ denominators,\\\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}=180\\\\By\ comparing\ the\ Sum\ of\ angles\ in\ both\ the\ triangles,\\We\ find\ that\ the\ RHS\ of\ both\ the\ equations\ are\ equal\ i.e.180,\\The\ LHS\ of\ the\ equations\ are\ equal\ too.\\[/tex]
[tex]Hence,\\\angle ABC+ \angle BCA + \angle BAC=\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}\\Hence,\\2(\angle ABC+ \angle BCA + \angle BAC)=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle ABC+ 2 \angle BCA + 2 \angle BAC=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle BCA + 2 \angle BAC-\angle BCA- \angle BAC=4 \angle ABC- 2 \angle ABC\\Hence,\\\angle BCA+\angle BAC= 2\angle ABC[/tex]
[tex]Lets\ get\ back\ to\ the\ Angle\ Sum\ of\ \triangle ABC,\\\angle ABC + \angle BAC + \angle ACB=180\\Hence,\\As\ \angle BCA + \angle BAC= 2 \angle ABC,\\\angle ABC + 2 \angle ABC=180\\Hence,\\3 \angle ABC=180\\\angle ABC=\frac{180}{3}=60[/tex]
Solve.
Okay here is 20 letters brainy
Answer:
-12
Step-by-step explanation:
4 1/2 - 5 1/8 = -0.625
7.5 x -0.625 = -12