9514 1404 393
Answer:
38 yards
Step-by-step explanation:
Let x represent the length and y the width, both in yards. Then the required relations are ...
2(x+y) > 132 . . . . . . the perimeter is greater than 132 yards
y = x - 8 . . . . . . . . . . width is 8 less than length
Substituting for y in the first equation gives ...
2(x +(x -8)) > 132
4x -16 > 132
x -4 > 33
x > 37
The smallest length the fence can be is 38 yards.
__
Check
At that length, the width is 30 yards, and the perimeter is 2(38+30) = 136 yards. If the length were 37 yards, the perimeter would be 132 yards, which is not greater than 132 yards.
24-10x=9
What does x equal to?
Mr Jones buys a new car for £14 995. By the end of the year the value of the car has gone down by 40%. How much is the car now worth?
Answer:
£8997
Step-by-step explanation:
Given data
Mr Jones buys a new car for £14 995
let us find the value of 40% of £14 995
=40/100* £14 995
= 0.4* £14 995
= £5998
Hence the car will cost
=£14 995- £5998
=£8997
A triangle is cut out of a square whose length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
72ft²
Step-by-step explanation:
A = ½ (12*12)
A = ½ * 144
A = 72ft²
Suppose you are facing north, each time you turn, you are going to turn 90 degrees. If you turn 2 times to the right, 1 time to the left, 3 times to the right, 2 times to the right, and 1 time to the left, which way are you now facing?
Answer:
East
Step-by-step explanation:
Starting position = North
Condition = each time you turn, you are going to turn 90 degrees
Using the image attached as a guide;
If you turn 2 times to the right
- Turning the first time to the right changes the direction to East
- Turning the second time to the right changes the direction to South
1 time to the left
- Turning once to the left changes the direction to East
3 times to the right
- Turning the first time to the right changes the direction to South
- Turning the second time to the right changes the direction to West
- Turning the second time to the right changes the direction to North
2 times to the right
- Turning the first time to the right changes the direction to East
- Turning the second time to the right changes the direction to South
1 time to the left
- Turning once to the left changes the direction to East
I need Help can someone please help me with this. Write an equation of a function with each domain: A. [2, [infinity]) B. (-[infinity], [infinity]) C. (2, [infinity])
Step-by-step explanation:
A.
[tex]f(x) = \sqrt{x - 2} [/tex]
B.
[tex]g(x) = 2x [/tex]
C.
[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero
A researcher measured approximately 0.005123 grams of bacteria in a sample. How is this number expressed in scientific notation?
Answer:
5.123 × 10-3
m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
I hope this helps.. :D
1. Are the triangles similar?
2. If so, complete this statement:
△TRS ~ △ [QPM, QMP, PMQ]
by SSS, AA, SAS [choose one]
Answer:
YES BY SAS
Step-by-step explanation:
20/16=5/4
25/20=5/4
If there are 60 sides, what is the difference between the perimeter and π?
c/- 4 = 16
please help
find the slope of the line that goes through (-4,2) and (3,-5)
Answer:
-1
Step-by-step explanation:
m = -7 / 7 = -1 / 1 = -1
Answer:
-1
Step-by-step explanation:
To find the slope given two points, use the formula: [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]. In this case, the formula would be: [tex]\frac{-5-2}{3-(-4)}[/tex]. Solve the top first: -7. Solve the bottom next: 7. So your answer is: [tex]\frac{-7}{7}[/tex] or -1.
Hope it helps!
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. does the ball pass inspection? Explain
To pass inspection, the ball must bounce back to between 68% and 75% of the starting height. written as a decimal, the ball must bounce between a low of __ feet and height of __ feet.
Answer: Yes, it does. It must bounce of a low of 4.08 feet and a high of 4.5 feet
Step-by-step explanation:
Marie has a box that contains only red and blue marbles in a ratio of 5:45. What percent of the marbles in the box were red?
Answer:
10 percent
Step-by-step explanation:
t=ratio
5x:45x
total=45x+5x=50x
5x/50x=1/10=10 percent
If you have a jumbo pack of gum and 4 friends ask for 8 How much gum do you have left?
(random questions)
Answer:
5
Step-by-step explanation:
37 - 4(8)
37 - 32
5
Hope this helps! May I please have brainliest? :)
Answer:
solution given:
total pack of gum=x gums
If 4 friends ask for 8=8×4gum= 32gums
Remaining gums=x-32gums
HELP!!
If we changed the -3 to a 3 in the equation, what would happen to the graph?
Answer:
It would change the y-intercept, so if it turned into a 3, the slope would just go higher at the beginning.
Step-by-step explanation:
Hope it helps!
The graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation y = 2ˣ⁻⁴ - 3 is an exponential function that has been shifted 4 units to the right and 3 units down from the basic exponential function y = 2ˣ.
If we change the -3 to a 3, we get the new equation:
y = 2ˣ⁻⁴ + 3
This new equation represents the original exponential function shifted 4 units to the right and 3 units up.
Therefore, the graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
To learn more on Graph click:
https://brainly.com/question/17267403
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Marie can make \frac{1}{8} 8 1 quart of orange juice in \frac{3}{4} 4 3 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?
Answer:
[tex]\frac{1}{6}\ juice[/tex]
Step-by-step explanation:
The computation is shown below:
Since [tex]\frac{1}{8}[/tex] quart of juice would be make in [tex]\frac{3}{4}[/tex] minutes
So for one minute, the juice would be make
[tex]\frac{4}{3}\times \frac{3}{4} \ minute= \frac{4}{3} \times \frac{1}{8} \ juice\\\\1\ minute= \frac{1}{6}\ juice[/tex]
hence, the same would be considered and relevant too
24.5 is 33 1/3% of what number?
Answer: 73.5
Step-by-step explanation:
The percent 33 1/3% represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.
Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.
24.5 x 3 = 73.5.
Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!
6-(y-2) What is the answer?
Answer:
-y+8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
6-y+2=0
8-x=0
-x=-8
x=8
A bag holds 2 red and 7 blue marbles. What is the probability of the complement of randomly selecting a red marble? Please help asap
Answer:
I'll help the best I can lol
Step-by-step explanation:
You have a 2 in 9 chance randomly selecting a red marble, so your probability of selecting one in the first place.
2/9 chance is 81.8% impaled probability.
75% of b is 11 what is b
Answer:
14.67
Step-by-step explanation:
The number which occurs most frequently in a set of numbers is the ........?
Answer:
first
Step-by-step explanation:
it's the first number so
-2(x+1)+4x<-10 what’s the solution
Equation/Question:
-2(x+1)+4x<-10 What’s the solution?
Answer/Way I did it:
1. Expand.
-2x-2+4x<-10
2. Simplify -2x-2+4x to 2x-2.
2x-2<-10
3. Add 2 to both sides.
2x<-10+2
4. Simplify -10+2 to −8.
2x<-8
5. Divide both sides by 2.
x<-8/2
6. Simplify 8/2 to 4.
x<−4
Done by NeighborhoodDealer
First, we need to figure out how much you want to borrow. You said you wanted to spend $5,000, and you will put $500 down. Based on that, we can estimate your taxes to be $340. Put those numbers into the calculator and press calculate to see how much money you will need for your loan.
can anyone tell me the answer pls
You need $4840 money for the loan.
What is addition?Through addition, objects are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
According to the question,
Spending amount =$5000
Down payment = $500
Taxes amount = $340
The total loan amount :
= Spending amount - down payment + Taxes amount
By substituting the above values, we get
= $5000 - $500 + $340
= $4840
Therefore, the loan amount is $4840.
To learn more about the addition;
brainly.com/question/29464370
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How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5
Answer:
d
Step-by-step explanation:
Jenny used 15 centimeters of tape to wrap 5 presents. How much tape will Jenny need in all if she has to wrap 10 presents? Assume the relationship is directly proportional.
Answer:
30
Step-by-step explanation:
15cm for 5
5 x 2=10
15 x 2 = 30
Whats the measure of z
Answer:
z = 24°Step-by-step explanation:
Angle on a straight line= 180°90 + 66 + z = 180°156 + z = 180°z = 180° - 156°z = 24°let y be 2x
90 + 66 + 24 + X + 2x = 360° (angles at a point)
180° + 3x = 360°
3x = 360° - 180°
3x = 180°
divide both sides by 3
3x/3 = 180/3
X = 60
2x = 2(60) = 120°
therefore X = 60°
Y = 120°
90° + 66° + 24° + 60° + 120° = 360°
what is that area of the trapezoid
a)50in
b)108in
c)126in
b192in
Answer:
c) 126 inches of the answer
Answer:
C. 126 inches²
Step-by-step explanation:
To find the area of a trapezoid multiply the sum of the two bases (12 + 16) and the height divide by 2 (9 / 2) by each other
(12 + 16)9/2
Add 12 and 16 to get 28.
28(9/2)
Multiply 28 by 9 to get 252.
252/2
Divide 252 by 2 to get 126.
The area of the trapezoid is 126 inches².
Workout 2/7+1/5 and then simplyfy it
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
If a spinach pie is cut into 10 equal pieces, then what is one piece
written as a fraction and as a decimal
Answer:
If a spinach pie is cut into 10 equal pieces, the fraction form of it is 1/10 and the decimal form is 0.1
Step-by-step explanation:
10 pieces
10/10 total
1 slice: 1/10
1 = whole pie
split into 10 equal peices =
0.1
Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points
Given:
Jake bought 3 drawing pens for $8.07.
Each pen costs the same amount.
To find:
How much did he spend for one pen?
Solution:
Let x be the cost of each pen. Then
Cost of three pens = 3x
Jake bought 3 drawing pens for $8.07.
[tex]3x=8.07[/tex]
Divide both sides by 3.
[tex]x=\dfrac{8.07}{3}[/tex]
[tex]x=2.69[/tex]
Therefore, he spend $2.69 for one pen.