Answer: 8 units
Step-by-step explanation:
To find the distance between 2 points, we want to use the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Since we are given the 2 points, all we have to do is plug them in.
[tex]d=\sqrt{(7-(-1))^2+(8-8)^2}[/tex] [parenthesis]
[tex]d=\sqrt{(8)^2+(0)^2}[/tex] [exponent]
[tex]d=\sqrt{64+0}[/tex] [add]
[tex]d=\sqrt{64}[/tex] [square root]
[tex]d=8[/tex]
Now, we know the distance is 8 units.
You are installing a fence around your yard. In the figure,
your yard is rectangle ABCD. Each unit in the coordinate
plane represents 10 feet.
a. What is the perimeter of your entire yard
b. You consider only installing a fence around your backyard represented by rectangle ABEF what is the perimeter of your backyard?
c. The cost of fencing is $50 for each 6 foot section how much do you say by only installing a fence in the backyard?
Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:
(a) 360 feet
(b) 240 feet
(c) $1000.0
Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:
(a) Side AB = CA = (7 - 1) x 10 feet
= 6 x 10 feet
= 60 feet
Side AD = BC = 13 - 1
= 12 x 10 feet
= 120 feet
The perimeter of the entire yard = 60 + 120 + 60 + 120
= 360
Perimeter of the entire yard = 360 feet
(b) Side AB = EF = 60 feet
Side FA = BE = (7 -1) x 10 feet
= 60 feet
So that,
The perimeter of the backyard = 60 feet x 4
= 240
Perimeter of the backyard = 240 feet
(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50
= $3000.0
The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50
= $2000.0
The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0
= $1000.0
Thus, the amount saved by only installing a fence in the back yard is $1000.0
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can someone check my answers? if they are all right then just leave it alone but if somethings wrong please tell me and explain why!
Answer:
They are all right
Step-by-step explanation:
all of them are right
Everything is correct except the last one. I have attached the solutions, see them.
what is the width of a rectangle with length 25in and area of 375^{2}
Explanation:
I'm assuming you meant to say the area is 375 in^2, aka 375 square inches.
If so, then,
area of rectangle = length*width
A = L*W
A/L = W
W = A/L
W = 375/25
W = 15 inches
As a check,
A = L*W = 25*15 = 375 which helps confirm the answer.
1Q _____is neither a prime number nor a composite number
2Q the only even prime number is ______.
3Q A prime number has only_____ factors,______and_______.
4Q _______is the smallest prime number is_____.
5Q there are ______ prime numbers less then 20.
Round 27,850 to the nearest thousand.
Answer:
28000
Step-by-step explanation:
round up if number is greater than 5
Tengo (3×-2y) soles ahorrados trabaje una semana y octube (5×+7y) el fin de semana gaste (5y) soles con cuanto soles me quede?
Answer:
creo que la respuesta es 34y
Step-by-step explanation:
work out b(4½-3⅔)+1⅔
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Change the mixed numbers to improper fractions
([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6
= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]
= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2 [tex]\frac{1}{2}[/tex]
Find the mean of the integers. -3,-1, 0, 1,
Answer:
-.75
Step-by-step explanation:
-3+-1+0+1= -3
now divide by the number of integers you are taking the mean of.
-3/4=-.75
mram is the AVERAGE
what number shoul be added to -5/6 to get 2/3
Let it be x
ATQ
[tex]\\ \sf\longmapsto x+\dfrac{-5}{6}=\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6x-5}{6}=\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 3(6x-5)=6(2)[/tex]
[tex]\\ \sf\longmapsto 18x-15=12[/tex]
[tex]\\ \sf\longmapsto 18x=12+15=27[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{27}{18}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{3}{2}[/tex]
Ashely’s math average decreased 12 points to 78. Then she completed an extra credit and raised her final average by 5 points.
Answer:
90-12+5 = 83
Step-by-step explanation:
Plz help. i’ll give brainliest
Answer:
x=17 degrees
m1=97 degrees
Step-by-step explanation:
6x-19=3x+32(vertically opposite angles)
6x-19-3x=32
3x =32+19
3x=51
x=17 degrees
when we substitute x in these:
6x-19=83
3x+32=83
if 1=y
83+83+Y+Y=360(points around a point is 360 degrees)
166+2Y =360
2Y =360-166
2Y=194
Y=97
Therefore 1=97 degrees
Hope you got it
If you have any answer just ask me
If you think this is the best answer please mark me as brainliest
pleaseeeee helpppp!!
Answer:
something
Step-by-step explanation:
I JUST NEED POINTS TO ASK QUESTIONS
Which Expression is equal to 632?
A. 2⁴(3 x 5³ + 2²)
B. 2³(3 x 5² + 2²)
C. 2³ (3 x 5² + 2⁵)
D. 2⁴(3 x 5⁵ + 2¹⁶)
Plz help meee!
Answer:
B. 2³(3 x 5² + 2²)
Step-by-step explanation:
2³(3 x 5² + 2²)
Step 1. Simplify the exponents
8(3 x 25 + 4)
Step 2. Multiply 3 and 25
8(75 + 4)
Step 3. Add 75 and 4
8(79)
Step 4. Multiply
632
Answer:
Option B. 2³(3 x 5² + 2²) is correct
Step-by-step explanation:
2³(3 x 5² + 2²)
First of all multiply the exponents
8×(3×25+4)
Then do the multiplication of 3 and 25
8×(75+4)
Now add the following numbers in the bracket
8×(79)
And the last multiply the following numbers
8×79
632
[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]
How many ounces of a 15% alcohol solution must be mixed with 4 ounces of a 20% alcohol solution to make a 17% alcohol solution?
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Answer:
Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution
Step-by-step explanation:
Let x ounces of 11% alcohol must be mixed with the 2 ounces of 20% alcohol.
The amount of alcohol in 4 ounces solution is= ounces
= 0.8 ounces
The amount of alcohol in x ounces solution is= ounces
= 0.11 x ounces
Total amount of alcohol is = (4+x) ounces
According to the problem,
Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution
PLS HELP!! ILL GIVE BRAINLIEST
Round each decimal number to the nearest whole number. Then, select the best estimate for the subtraction equation 6.4 − 4.2 = ___.
1
1.5
2
2.5
6.4 – 4.2
To FindRounding The Number To Nearest Whole Number of their difference.
Solution6.4 – 4.2 = 2.2
Rounding 2.2 to nearest whole number will give = 2
So Your Answer is Option C- 2
Hope This Helps YouRound the number 2.2 nearest whole number will be 2. Then the correct option is C.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The decimal number is given below.
⇒ 6.4 − 4.2
⇒ 2.2
Round the number 2.2 to the nearest whole number.
If the decimal number is more than 0.5, then the ones place after the decimal will be increased by one.
In the decimal number is 2, then the ones place number 2 remains the same as 2.
Round the number 2.2 nearest whole number will be 2. Then the correct option is C.
More about the rounding of a number link is given below.
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I need to know what is the fraction, 2/5 as a decimal?
Answer:
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
Please help ASAP thank you, see attachment
Step-by-step explanation:
1)
TV=TU+UV
32=TU+20
TU=32-20
TU=12
2)
As B is between A and C:
AC=AB+BC
AC=16+12
AC=28
Note:if you need to ask any question please let me know.Which number line shows the solution to -4-(-1)?
О
4
-3
2
0
1
2
3
4
5
K
O
4
-3
-2
-1
o
1
2
3
O
-5
3
-2
.1
1
2
3
4
о
2
0
1 2
3
Answer:
Your answer is -3
Step-by-step explanation:
-4-(-1)
-4+1
-3
Mark me brainlist
The number line is attached in the solution.
What is number line?In math, a number line is a horizontal straight line with numbers placed at equal distances from each other along that line.
A number line is a pictorial representation of numbers on a straight line. It's a reference for comparing and ordering numbers.
Given is an expression, -4-(-1), we need to plot its solution on the number line,
So,
-4-(-1)
Opening the brackets,
= -4+1 [∵ (-) × (-) = +]
= -3
Plotting -3 in the number line, it will be put 3 units left from zero in the number line,
We put negatives number on the left side and the positive numbers on the right side of zero, in the number line,
For example, we are asked to put 7 in the number line, we will count 7 units to the right of zero in the number line, and suppose if we are asked to plot -6, then we will count 6 units to the left of zero in the number line.
The number line is extended from -∞ to +∞
Learn more about number lines, click;
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solve my problem plz
Answer:
A
Step-by-step explanation:
Aruba has the lowest population
It would be 'Aruba has the least population'
Bolivia has an exponet of 7, 7 zeros while Aruba has 5
The Philippines has a population that is a multiple of Aruba, as long as it's not 1 or less it's going to be greater then Aruba
Therefore since both would have more, your true statement would be the first one
if f(x) = 3x+7 find f(x+1)
Answer:
-3
Step-by-step explanation:
3x +7 =f(x+1)
3x +7=x+1
3x-x=-7+1
2x=-6
-3
please help me! how much times can 23 go into 1,624 please tell me the quotation and remainder!!:)
Answer:
Quotient= 70
Remainder=14
Step-by-step explanation:
Do you need explanation?
Answer:
23 goes into 1,624 70 times
please help I need by tommorow
write the following statements as inequalities:
a) The value of the binomial 2x + 5 is less than half of the value of the binomial 3x ^ 2 - 4
b) The value of the binomial 4x+y is not less than the value of the trinomial x^2 - 2xy + 3y
c) The value of the monomial 2a*b^2 is greater than twice the value of the binomial a^2-4b
d) The value of the sum of a + b ^ 2 * a * n * d * a ^ 2 - b is not greater than the value of their product.
Answer:
a) 2x + 5 < (3x ^ 2 - 4)/2
b) 4x + y > x ^ 2 - 2xy + 3y
c) 2a * b ^ 2 > (a ^ 2 - 4b)2
d) a + b ^ 2 * a * n * d * a ^ 2 - b < a * b ^ 2 * a * n * d * a ^ 2 - b
D is probably incorrect, my bad, but I tried
Emma reached into the bag 10 different times, drew a ball, and recorded the numbers. Here are her results.
5 4 2 2 7 6 1 10 9 9
2. Use fractions, decimals, and percent to express the probability of selecting a multiple of 3, using Emma’s results. Represent these probabilities on each probability line.
Answer:
The multiples of 3 are:
6, 9, 9These the 3 out of 10 results.
The probability of selecting a multiple of 3 is:
P = 3/10 as fraction = 0.3 as decimal = 30% as percentAnswer:
Step-by-step explanation:
There are two multiples of 9 in the list.
6: 1/10 0.1 10%
9: 3/10 0.3 30%
Brainiest plz I need help asap
Answer:
2: B*W=A (Answers)
Step-by-step explanation:
A: A meter of rope should cost $0.8 or 80 cents.
B: It should be 1.20 meters.
This one is very hard for me
15x + 57 ≥ 129
15x ≥ 129 - 57
15x ≥ 72
x ≥ 24/5
x ≥ 4.8
Answer:
[tex]x \geqslant 4.8[/tex]
Step-by-step explanation:
[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]
What is the solution to the equation -5x + 10 = -13x
a) No solution
b) x=0
c) x=1
d) x=-1.25
Answer:
-1.25 =x
Step-by-step explanation:
-5x + 10 = -13x
Add 5x to each side
-5x + 10+5x = -13x+5x
10 = -8x
Divide by -8
10/ -8 = -8x/-8
-5/4 =x
-1.25 =x
[tex]\red{\bigstar}[/tex] The Solution of the given equation is [tex]\large\leadsto\boxed{\rm\purple{x = \: - 1.25}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-- 5x + 10 = - 13x⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-➪ [tex]\sf - 5x + 10 = - 13x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf - 5x + 10 + 13x = 0[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 8x + 10 = 0[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 8x = - 10[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \dfrac{-10}{8}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\bold\red{\large{x = - 1.25}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
✯ Therefore, the the solution of the given equation is x = - 1.25
Real answer or you get reported
Answer:
(4 , 1 , -5)
Step-by-step explanation:
hopefully it is clear and visible...and also understandable
:)
Help!! i give brainly
True or false the following image is a correct picture of the distance formula
Answer:
true
Step-by-step explanation:
The Martino family bought 5 movie
tickets and 3 tubs of popcorn for $39.50.
The Chang family bought 3 movie tickets
and 1 tub of popcorn for $20.50. How
much does a tub of popcorn cost?
Please help <3
Answer:
a tub of popcorn is $4 each
Step-by-step explanation:
ticket $5.50
popcorn $4
Step-by-step explanation:
solving by simultaneous equ
5m+3t =$39.50 .. equ1
3m+t = $20.50.. equ2
by elimination m= $5.50
subt m=$5.50 to get t
t=$4
hence, a tub of popcorn is $4
Name the figure below in two different ways.
Answer: MUV OR VUM
Step-by-step explanation:
It is a line so anyway you name it is fine as lomg as its in it's respected order.
Answer:
Symbol=line
It has 3 points
it's got letters at the points
