Answer:
false
Step-by-step explanation:
Enter an equation for which the solution is the speed of the train, in miles per hour, where the train's distance from the departing station is 162 miles and it has traveled for 3 hours. what is the equation for the speed of the train?
Answer:
Step-by-step explanation:
Formula
speed = distance / time
Givens
speed = ?
distance = 162 miles.
Time = 3 hours.
Solution
speed = 162 / 3
speed = 54 miles per hour.
7!
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please help!!
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math geniuses where r uuuu
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help!
Answer:
It is the fourth option, D.
List all of the factors of 78. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a space after the comma.)
Answer:
1, 2, 3, 6, 13, 26, 39, 78
Step-by-step explanation:
The factors of a number are the numbers that "go into" 78 "evenly" that is, without a remainder. You can make a factor tree or divide to find the prime factors. Any combination "goes into" 78. That's why we'll include 6 and 26 on this list.
1×78
2×39
3×26
6×13
all make 78!
I just need an explanation for this. I know the answer is 34 cm, but I don't understand how you get there
Step-by-step explanation:
180 ° - 146°=34°
Where by isosceles triangle is 180
The base of a ladder is 2.8m placed away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calculate the length of the ladder.
Step-by-step explanation:
Hello all beautiful your day
Solids X and Y are similar. X has volume of 64cm^3, Y has a volume of 729cm^3, the surface area of X is 208cm^2, work out the surface area of Y
The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²
How to solve for surface area?Volume:
Solid X = 64cm³Solid Y = 729cm³Surface area:
Solid X = 208cm²Solid Y = xRatio of volume to surface area of solid X and Y respectively
64 : 208 = 729 : x
64/208 = 729/x
cross product64 × x = 208 × 729
64x = 151,632
x = 151,632 / 64
x = 2,369.25cm²
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writing fractions with common denominators to add or subtract(Aleks)
Answer:
3/5+1/3= 9/15+5/15= 14/15
Step-by-step explanation:
Hi there!
To make fractions have a common denominator, multiply both the numerator and the denominator by a number. In this case, 3/5= 9/15, because both the numerator and denominator are multiplied by 3. 1/3= 5/15, using the same rule. 9/15+5/15=14/15
Hope this helped! If it did, pls press the heart :)
The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?
Answer:
46.77 cm
Step-by-step explanation:
Perimeter of the semicircle = Circumference + 2r
πr + 2r = r (π + 2)9.1 (3.14 + 2)9.1 (5.14)46.77 cmWhat is the width of the ornament at the volume of 2664.31 cm (use 3.14 for)
Answer:
33.6
Step-by-step explanation:
this is a circle
so
the area of a circle = pi x radius squared(since it's a 2-D shape)
but this is 3-D
so
V = 2664.31 = (4/3)([tex]\pi[/tex][tex]r^{3}[/tex])
you could also use
A = ³√(36 * π * V²) when A is the surface area
but those are too long, so let us just use the answer choices
V = 3.14 x answer choice x radius sqaured
V = 3.14 x 8.6 x radius sqaured
2664.31 = 3.14 x 8.6 x radius sqaured
radius sqaured = 2664.31/3.14 x 8.6
radius sqaured = 2664.31/27.004
radius sqaured can't be made with this
lets skip V
radius sqaured = 2664.31/3.14 x 17.2
radius sqaured = 2664.31/54.008
since 27.004 didn't work, and 54.008 is 2 times as that
radius sqaured = 2664.31/3,14 x 33.6
radius sqaured = 2664.31/105.504 ≈ 25
25 square rooted is 5
so
33.6
Can some one help me please
Answer:
a) angle A = angle Z
angle B = angle X
angle C = angle Y
b) AB= ZX
AC=ZY
BC=XY
c) triangle CAB=YZX
hope it helps you
A store buys 11 sweaters for $55 and sells them for $286. How much profit does the store make per sweater?
Answer:
The store makes $21 per sweater.
This is the same as the constant of proportionality between the profit made and the number of sweaters sold.
Step-by-step explanation:
$286−$55
Total Profit=$231
Profit Per Sweater=11/$231
Profit Per Sweater=$21
If store buys 11 sweaters for $55 and sells them for $286 then the store makes a profit of $21 per sweater.
To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.
Cost per sweater = Total cost / Number of sweaters
= $55 / 11
= $5
Selling price per sweater = Total selling price / Number of sweaters
= $286 / 11
= $26
Profit per sweater = Selling price per sweater - Cost per sweater
= $26 - $5
= $21
So, the store makes a profit of $21 per sweater.
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Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 15.9
Step-by-step explanation:
what is 40% of 526,367.50
Answer:
[tex]210547[/tex]
Hope this helps. :)
Answer:
210547
Step-by-step explanation:
Multiply 526, 367.50 by 40 percent than the answer you get from that subtract from 526,367.50 then you get 210547.
Hope this Helps!
:D
If the coordinates of point Q are (−12,√32), then what is the value of tan(m) ?
Vector components are expressed in the form (x, y). The measure of tan m given the coordinate Q is -√32/12
Direction of a vectorVector components are expressed in the form (x, y). Given the coordinates of point Q are (−12,√32), the measure of the angle is expressed as;
m = arctan(y/x)
m = arctan (-√32/12)
Take the tan of both sides
tan m = tan arctan(-√32/12)
tan m = -√32/12
Hence the measure of tan m given the coordinate Q is -√32/12
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Find the area of the figure. Show work and explain please.
Answer:
464 units²
Explanation:
Part A
Length × Width = 8 × 16 = 128 units²
Part B
Length × Width = 24 × 8 = 192 units²
Part C
Length × Width = 12 × 4 = 48 units²
Part D
Length × Width = 24 × 4 = 96 units²
Total Area: 128 + 192 + 48 + 96 = 464 units²
Answer:
464 units²
Step-by-step explanation:
The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.
(see attached diagram)
Total area of the rectangle = width × length
= 24 × (16 + 4 + 4)
= 24 × 24 ← the shape is actually a square!
= 576 units²
Missing Area 1
Top left square = 8 × 8
= 64 units²
Missing Area 2
Bottom right rectangle = 4 × 12
= 48 units²
Total area = area of rectangle - missing area 1 - missing area 2
= 576 - 64 - 48
= 512 - 48
= 464 units²
10
3
А.
B
1+
2+
EF
G/H
Which of the following are corresponding angles?
O A. DC and 2F
OB. ZA and ZE
OC. E and 2H
OD. A and
Answer:
why don't u send the pictures so I can help u out
A cuboid with dimensions 45 cm by 16 cm by 12 cm is cut to form smaller cubes of
length 4 cm. What is the maximum number of cubes that can be obtained?
Answer:
135 cubes
Step-by-step explanation:
Volume of cuboid :
45 x 16 x 12720 x 128,640 cm³Volume of a small cube :
(4)³64 cm³Number of cubes :
n = 8,640/64n = 135 cubesTom has 20 girls in his seventh-grade class. The ratio of girls to boys is 5:4. How many boys does he have in his seventh-grade class?
Answer:
16 boys
Step-by-step explanation:
in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.
What is the exact area of a circle having diameter 3 in.?
Answer:
7.065 in^2
Step-by-step explanation:
Answer:
7.06858...in²
if we are using 3.14
7.065in²
Step-by-step explanation:
3 / 2 = 1.5
A = πr²
A = π(1.5²)
A = π(2.25)
A = 7.068in²
(if we are using 3.14 for pi)
A = πr²
A = 3.14(1.5²)
A = 3.14(2.25)
A = 7.065in²
which coordinate is a solution to the inequality
Answer:
C) (3 , 2)
Step-by-step explanation:
y is greater than 2x - 7.
Note the point values (x , y). y, in this case, must be greater than x after it is simplified.
~
(3 , -2)
Plug in 3 for x, and -2 for y:
(-2) > 2(3) - 7
-2 > 6 - 7
-2 > -1
(False).
~
(4 , 1)
Plug in 4 for x, and 1 for y:
(1) > 2(4) - 7
1 > 8 - 7
1 > 1
(False).
~
(3 , 2)
Plug in 3 for x, and 2 for y:
(2) > 2(3) - 7
(2) > 6 - 7
2 > 1
(True).
~
∴ C) (3 , 2) is your answer.
~
What is the slope of the line that contains the points in the table?
X
4
-1
2
8
Y
-9
-9.75
-10.5
-12
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
slope/gradient=[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
=[tex]\frac{-9.75+9}{-1-4}[/tex]
=[tex]\frac{3}{20}[/tex]
A store sells pool floats.
• The retail price was a 20% markup over the
manufacturer price.
• A month later, the store reduced the retail price
of the pool float by 12%.
What percent markup is the new retail price over the
manufacturer price?
Step-by-step explanation:
the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).
now, the whole retail price is reduced by 12%.
that means we have to subtract 12% from the 120%.
but careful, we cannot just do 120-12=108.
that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.
we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.
we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :
120 × 0.88 = 105.6%
so, the new retail price is now only 5.6% over the manufacturer price.
Q5. the population of an island has decreased by 40% over 50 years.
the population in 2018 was 360
what was the population in 1968?
Answer:
The population was 600 in 1968
Step-by-step explanation:
The population of an island decreased by 40% over 50 years, so the population in 1968 will be equal to 600.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the data provided by the question,
The current population in 2018 = is 360
which is 40% less than the population in 1968.
So, 60% of the total population will be equal to 360.
Let the total population is x.
60% × x = 360
x = (360 × 100)/60
x = 600
Therefore, the population at that time was 600.
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\frac { x } { x - 2 } + \frac { x - 1 } { x + 1 } = - 1
I cant firgure it out
[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]
x = -1
Step-by-step explanation:
[tex] \sf\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1[/tex]
Taking LCM
[tex] \sf \hookrightarrow \frac{x(x + 1) + (x - 1)(x - 2)}{(x - 2)(x + 1)} = - 1 \\ \\ \sf \hookrightarrow \frac{ {x}^{2} + x + {x}^{2} - 3x + 2 }{ {x}^{2} - x - 2} = - 1 \\ \\ \sf \hookrightarrow \frac{2 {x}^{2} - 2x + 2 }{ {x}^{2} - x - 2 } = - 1[/tex]
Cross multiplying
[tex] \sf \hookrightarrow 2 {x}^{2} - 2x + 2 = - 1( {x}^{2} - x -2) \\ \\ \sf \hookrightarrow 2 {x}^{2} - 2x + \cancel2 = - {x}^{2} + x + \cancel2 \\ \\ \sf \hookrightarrow 3 {x}^{2} - 3x = 0[/tex]
Taking 3 common
[tex] \sf \hookrightarrow {x}^{2} - x = 0 \\ \\ \sf \hookrightarrow x(x - 1) = 0 \\ \\ \sf \hookrightarrow x - 1 = 0 \\ \\ \\ \green{\boxed{ \hookrightarrow x = 1}}[/tex]
VerifyingTaking x as 1
[tex] \sf \implies\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1 \\ \\ \sf \implies \frac{1}{1 - 2} + \frac{1 - 1}{1 + 1} = - 1 \\ \\ \sf \implies - 1 + 0 = - 1 \\ \\ \sf \implies - 1 = - 1[/tex]
Simplify
[tex]\sqrt{81-18\sqrt{7}+7 }[/tex]
Answer:
The given equation is expansion of (a-b)² = a²-2ab+b²
[tex]\sqrt{81-18\sqrt{7}+7} \\ \sqrt{ {9}^{2} -2 \times 9 \times \sqrt{7}+ { \sqrt{7} }^{2} } \\ \sqrt{ {(9 - \sqrt{7})}^{2} } \\ {(9 - \sqrt{7})}[/tex]
hope that help.
Answer:
[tex]9-\sqrt{7}[/tex]
Step-by-step explanation:
Given expression: [tex]\sqrt{81-18\sqrt{7}+7}[/tex]
To simplify the given expression, use the "A minus B Whole Square" identity.
A minus B Whole Square identity
[tex](a-b)^2=a^2-2ab+b^2[/tex]
Comparing [tex]81-18\sqrt{7}+7[/tex] to the right side of the identity:
[tex]a^2=81 \implies a=\sqrt{81}=9[/tex][tex]b^2=7\implies b=\sqrt{7}[/tex][tex]-2ab=-18\sqrt{7}=-2 \cdot 9\sqrt{7}[/tex]Therefore:
[tex](9-\sqrt{7})^2=81-18\sqrt{7}+7[/tex]
Finally:
[tex]\sqrt{81-18\sqrt{7}+7}=\sqrt{(9-\sqrt{7})^2}=9-\sqrt{7}[/tex]
(8x) ³ in simplest radical form
Answer:
[tex]512x^3[/tex]
Step-by-step explanation:
[tex](8x)^3 = 8^3x^3 = 512x^3[/tex]
Please help ASAP!!
see attachment below!
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spun. Each outcome is equally likely. The game costs $5 to play. The number of dollars you win is the square of the number that comes up on the spinner. Ex: If the spinner comes up 3, you win $9. Let N be a random variable that corresponds to your net winnings in dollars. What is the expected value of N
The expected value of N will be given as:- Money = N² - 5.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
It is given in the question that:-
A spinner with possible outcomes {1, 2, 3, 4, 5, 6} is spunThe game costs $5 to play.The number of dollars you win is the square of the number that comes up on the spinner.If the spinner comes up 3, you win $9.So from the given information, the expression will be:-
N be a random variable that corresponds to your net winnings in dollars.
Money = N² - 5.
From the above equation, we can calculate the amount earned by the spinner number that comes.
Therefore the expected value of N will be given as:- Money = N² - 5.
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jeff is making a fruit salad. he has 1 1/3 cups blackberries and 2 1/2 cups of strawberries. how many cups of blackberries does he have for every 1 cup of strawberries
The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
What are the mixed numbers?Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.
Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,
[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]
Jeff has 2 1/2 cups of strawberries. In the fractional number,
[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]
Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,
[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]
Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
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Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25. which equation and solution
represents p, the number of pounds of strawberries ms. diaz buys?
Answer:
21.25=4.25p
Step-by-step explanation:
Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25.
1/5
The equation to represent the situation is 4.25p=21.25.
Ms. Diaz buys 5 pounds of strawberries.
What is equation?A mathematical statement that is made up of two expressions connected by an equal sign.
Given:
Mr. Diaz pays for strawberries = $21.25
price for one pounds = $4.25
Then,
Number of pounds * cost = Total cost for strawberries.
p * 4.25 = 21.25
p = 21.25 / 4.25
p = 5
Hence, the equation that can represent 4.25p=21.25
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