Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of x satisfies this equation?
1.5(4)25
= 12
Round your answer to the nearest hundredth.
The value of x is
Answer:
0.75
Step-by-step explanation:
plato
The value of x for the equation is,
⇒ x = 3/4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ 1.5 (4)²ˣ = 12
Now, We can solve for x as;
⇒ 1.5 (4)²ˣ = 12
Divide by 1.5;
⇒ (4)²ˣ = 12/1.5
⇒ (4)²ˣ = 8
⇒ (2)⁴ˣ = 2³
By comparing we get;
⇒ 4x = 3
⇒ x = 3/4
Thus, The value of x for the equation is,
⇒ x = 3/4
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There are 9 snakes, 3 bats, 12 fish and 4 snails. What is the probability you choose a fish?
Answer:
3/7
Step-by-step explanation:
add them all up 9+3+12+4=28
28 will be the bottom number of the fraction 12 wil be the top
12/28 then simplify by dividing by 2 6/14 then once more 3/7
find the slope of a line perpendicular to y=- 1/2x+7
Answer:
perpendicular slope = 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - \(\frac{1}{2}\) x + 7 ← is in slope- intercept form
with slope m = - \(\frac{1}{2}\)
given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{2} }\) = 2
The cost of 15 kg of apples is $262.50. Find the cost of 25 kg of apples
Answer:
525.00
Step-by-step explanation:
The cost of 25 kg of apples is $437.5.
What do we mean by cost ?"A cost is an expenditure required to produce or sell a product or get an asset ready for normal use. In other words, it’s the amount paid to manufacture a product, purchase inventory, sell merchandise, or get equipment ready to use in a business process.
There are many different costs, including fixed and variable, but they are all accounted for in the same way. Costs are recorded as expenses on the income statement during and accounting period and cleared out in a closing entry at the end of the period."
The cost of 15 kg is $262.50.
So, the cost of 1 apple is 262.50/15
= 17.5
Cost of 25 kg = \(17.5 * 25 = 437.5\)
Hence, the cost of 25 kg of apples = 437.5
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it is known that amounts of money spent on clothing in a year by college students follow a normal distribution with a mean of $340 and a standard deviation of $50. what is the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year?
The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).
For a normal distribution with a mean (μ) of $340
And a standard deviation (σ) of $50.
Let X be the amount of money spent on clothing by a randomly chosen student.
Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,
P(300 < X < 400)
Standardize the distribution by converting the given values to z-scores, using the formula,
z = (X - μ) / σ
For the lower limit, we have,
z1 = (300 - 340) / 50 = -0.8
For the upper limit, we have,
z2 = (400 - 340) / 50 = 1.2
Area under the standard normal distribution curve between these two z-scores.
Standard normal distribution table
Probabilities, or use the properties of the normal distribution to calculate it as,
P(-0.8 < Z < 1.2)
= P(Z < 1.2) - P(Z < -0.8)
Using a standard normal distribution table we have,
P(Z < 1.2) ≈ 0.8849
P(Z < -0.8) ≈ 0.2119
Substituting these values in the above equation, we get,
P(-0.8 < Z < 1.2)
≈ 0.8849 - 0.2119
≈ 0.6730
Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.
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samantha works at a nursery where she pots plants it takes her 1/1/2 hours to pot 12 plants ) how many plants can samantha pot in 1 hour
Answer:
its 1/8.
Step-by-step explanation:
i think its that
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A ( 2, -6) B ( 5, -6) C (5,-2) D (2.-2) What is the perimeter of rectangle ABCD? PLEASE ANSWER QUICK!!!
Answer:
The answer is 14
Step-by-step explanation:
Point A to Point B is 3
Point C to Point D is 3
Point B to Point c is 4
Point D to point A is 4.
Add all those together to get 14
Answer:
the answer is 14
hope you like this
keep rocking
stay at home stay safe
flavors of yogurt: vanilla, chocolate, and
strawberry. An order of frozen yogurt
comes with 4 different topping choices:
fudge, caramel, fruit, or plain. How many
unique ways can you order a frozen
yogurt? (You can only select one flavor of
yogurt and one topping).
To determine the number of unique ways to order a frozen yogurt with one flavor and one topping, we need to multiply the number of options for each category.
Starting with the yogurt flavor, there are three choices: vanilla, chocolate, and strawberry.
Next, for the toppings, there are four choices: fudge, caramel, fruit, or plain.
To find the total number of unique combinations, we can multiply the number of options for each category.
3 (yogurt flavors) x 4 (topping choices) = 12 unique ways to order a frozen yogurt.
So, there are 12 different ways you can order a frozen yogurt if you can only select one flavor of yogurt and one topping. This means that you can enjoy different combinations of frozen yogurt and toppings each time you order and never get bored.
However, it's always good to remember to keep a balanced and healthy diet even when enjoying sweet treats like frozen yogurt.
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I need help with this math topic, I don't understand anything :1
Which equation does not represent direct variation?
y = 1/3x
y + 3x= -2x
y = 4x + 1
6x - y = 0
Answer:
the first one ithink
Step-by-step explanation:
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
Answer:
Step-by-step explanation:
True or false
1. 2⁴ × 2³ = 6⁷
____________ T or F
2. 1⁰ × 0¹ = 1
____________ T or F
3. 3⁴ > 4³
____________ T or F
4. 4⁰ + 5⁰ + 6⁰ = ( 4 + 5 + 6 )⁰
____________ T or F
please answer it
Step-by-step explanation:
2⁴×3²
2⁷
True
1⁰×0¹
1×0
0≠ 1
False
3⁴>4³
81>64
True
4⁰+5⁰+6⁰=(4+5+6)⁰
1+1+1=(15)⁰
3≠0
False
Answer:
1.True 2.False 3.True 4.False
Step-by-step explanation:
1. 2^4 x 2^3 = 2^(4+3) = 2^7 --> True
2. 1^0 x 0^1 = 1 x 0 = 0 --> False
3. 3^4 = 81
4^3 = 64
81 > 64
3^4 > 4^3 --> True
4. 4^0 + 5^0 + 6^0 = 1 +1 +1 = 3
(4+5+6)^0 = 15^0 = 1 --> False
4. 9d - 5 = 4
What does d =
5. 6-3w=-27 what does w =
6. -4= q/8-19 what does q =
Answer:
4) d = 1
5) w = 11
6) q = 120
Step-by-step explanation:
4) \(9d - 5 = 4\)
Adding 5 on both the sides ,
\( = > 9d - 5 + 5 = 4 + 5\)
\( = > 9d = 9\)
Dividing both the sides by 9 ,
\( = > \frac{9d}{9} = \frac{9}{9} \)
\( = > d = 1\)
5) \(6 - 3w = - 27\)
Substracting 6 from both the sides ,
\(6 - 3w - 6 = - 27 - 6\)
\( = > - 3w = - 33\)
Dividing both the sides by -3 ,
\( = > \frac{ - 3w}{ - 3} = \frac{ - 33}{ - 3} \)
\( = > w = 11\)
6) \( - 4 = \frac{q}{8} - 19\)
Adding 19 on both the sides ,
\( \frac{q}{8} - 19 + 19 = - 4 + 19\)
\( = > \frac{q}{8} = 15\)
Multiplying both the sides by 8 ,
\( = > \frac{q}{8} \times 8 = 15 \times 8\)
\( = > q = 120\)
Tim wants to buy several pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.
Answer:
2 orders
Step-by-step explanation:
Step one:
given data
The local store sells at $24 per pair of jeans
Cost = $24
The online store sells at $22 per pair plus a shipping fee of $6 per order
let the number of orders be x
Cost= 22+6x
For 1 order
the online store will cost
Cost= 22+6*1
Cost= 22+6
Cost= $28
For 2 orders
The local shop cost
Cost= 24*2= $48
The online store will cost
Cost= 22+6*2
the online store will cost
Cost= 22+12
Cost= $34
Hence Tim should place at least 2 orders if he wants to buy online
Answer:
# of orders is 2 ORDERS!!!
Step-by-step explanation:
I hope this helps!!!
Simplify help please
Answer:
x = 85
Step-by-step explanation:
The Pythagorean theorem is a property that is specific to right triangles, or triangles with a right angle. The Pythagorean theorem states the following,
\(a^2 + b^2 = c^2\)
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or side opposite the right angle.
Substitute in the given values and solve,
\(13^2 + 84^2 - x^2\\\\169 + 7056 = x^2\\\\7225 = x^2\\\\85 = x\)
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8
Answer:
x = 1/10Step-by-step explanation:
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8?
3x + 101x - 24x = 8
80x = 8
x = 1/10
-------------------------
check
3 * 1/10 + 101 * 1/10 - 24 * 1/10 = 8
8 = 8
the answer is goodwhat is the answer to 2y+12=-10
Answer:
y=-11
Step-by-step explanation:
Step 1: Subtract 12 from both sides.
2y+12−12=−10−12
2y=−22
Step 2: Divide both sides by 2.
2y/2=-22/2
And would get you y=-11
What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer
Answer:
x = -7/5
Step-by-step explanation:
3( x - 6 ) - 8x = -2 + 5(2x + 1)
3x - 18 - 8x = -2 + 10x + 5
-5x - 18 = 3 + 10x
-5x - 10x = 3 + 18
-15x = 21
x = \(-\frac{7}{5}\)
Divide.
127.6÷105
Enter your answer as a decimal in the box.
pls help
39x-8y=99. 52x-15y=80
The solution to the system of equations is x = 5 and y = 12.
To solve the system of equations:
39x - 8y = 99
52x - 15y = 80
We can use the method of substitution or elimination.
Let's use the method of substitution.
From equation 1, we can express x in terms of y:
39x = 99 + 8y
x = (99 + 8y)/39
Now, substitute this value of x into equation 2:
52((99 + 8y)/39) - 15y = 80
Simplify and solve for y:
\((52 \times 99 + 52 \times 8y)/39 - 15y = 80\)
(5148 + 416y)/39 - 15y = 80
5148 + 416y - 585y = 3120
416y - 585y = 3120 - 5148
-169y = -2028
y = (-2028)/(-169)
y = 12
Now substitute the value of y back into equation 1 to solve for x:
39x - 8(12) = 99
39x - 96 = 99
39x = 99 + 96
39x = 195
x = 195/39
x = 5
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3 is what percent of 2
Answer:
The answer is 0.06
Step-by-step explanation:
do you have my answer plz help plz
There are 15 blueberry muffins and 9 banana muffins. what is the ratio of banana muffins to total muffins?
Answer: 9/24
Step-by-step explanation: You add 9 and 15 to get 24, your denominator, and then how many banana muffins there are which is 9 which will be your numerator
2 friends get 6 waffles each
Answer: 12 waffles
Step-by-step explanation:
math is bad help me lol-
Answer:
C
Step-by-step explanation:
The line rises up 8, and the run is 2, 8/2=4.
Which statements are true regarding the diagram? Check all that apply.
1. ΔXYZ ≅ ΔLMN
2. ∠Y ≅ ∠M
3. ∠X ≅ ∠L
4. ∠Z ≅ ∠L
5. YZ ≅ ML
6. XZ ≅ LN
Answer:
1, 2, 3, 6
Step-by-step explanation:
I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.
Answer:
Hi how are you doing today Jasmine
is it possible to have a function f defined on [ 2 , 5 ] and meets the given conditions? f is continuous on [ 2 , 5 ), minimum value f(5)=2, and no maximum value.
a. Yes
b. No
Option (a) is the correct answer. Yes, it is possible to have a function f defined on [2, 5] and meets the given conditions.
A continuous function is a function whose graph is a single unbroken curve or a straight line that is joined up with a single unbroken curve. When a function has no jumps, gaps, or holes, it is said to be continuous. That is, as x approaches a certain value, the limit of f(x) equals f(a).
The minimum value of f(5) is given as 2. Since it is continuous on [2, 5), the limit of the function exists and equals the value of the function at 5, f(5).
Since there is no maximum value, the function may continue to grow without bound as x approaches infinity.
Therefore, it is possible to have a function f defined on [2, 5] and meets the given conditions.
Option (a) is the correct answer.
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5n+2(11-h)=-5
please help me find the answer and step by step
Answer:
Step-by-step explanation:
Answer:
\(5n + 2(11 - n) = - 5 \\open \: brackets \\ 5n + 22 - 2n = - 5 \\ 5n - 2n = - 5 - 22 \\ 5n - 2n = - 27 \\ 3n = - 27 \\ n = \frac{ - 27}{3} \\ n = - 9\)
is a rectangle. EA is 12 in. Find the length of the diagonal .
12 in.
24 in.
6 in.
26 in.
Answer:
hey please saw the figure
Answer:
Step-by-step explanation:
its 24
A sneaky registrar reports the following information about a group of 400 students. There are 180 taking a math class, 200 taking an English class, 160 taking a biology class, and 250 in a foreign language class. 80 are enrolled in both math and English, 90 in math and biology, 120 in math and a foreign language, 70 in English and biology, 140 in English and a foreign language, and 60 in biology and a foreign language. Also, there are 25 in math, English, and a foreign language, 30 in math, English, and biology, 40 in math, biology, and a foreign language, and fifteen in English, biology, and a foreign language. Finally, the sum of the number of students with a course in all four subjects, plus the number of students with a course in none of the four subjects, is 100.
Required:
Determine the number of students that are enrolled in all four subjects simultaneously: math, biology, English, and a foreign language.
The number of students that are enrolled in all four subjects simultaneously: math, biology, English, and a foreign language is 5.
Given that there are 400 students in total.
Let M be the set of students who are enrolled in math.
Let E be the set of students who are enrolled in English. Let B be the set of students who are enrolled in biology. Let F be the set of students who are enrolled in a foreign language.
Also, the sum of the number of students with a course in all four subjects, plus the number of students with a course in none of the four subjects, is 100.
Hence, there are 5 students that are enrolled in all four subjects simultaneously: math, biology, English, and a foreign language.
Summary: There are 400 students in total, and 5 students are enrolled in all four subjects simultaneously.
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the slant height of a cone is $13$ cm, and the height from the vertex to the center of the base is $12$ cm. what is the number of cubic centimeters in the volume of the cone? express your answer in terms of $\pi$.
The volume of the cone is (100)π cubic centimeters.
Given that the slant height (l) of the cone is 13 cm, and the height from the vertex to the center of the base (h) is 12 cm, we need to find the volume (V) of the cone.
To do this, we'll first need to find the radius (r) of the cone's base.
We can use the Pythagorean theorem to find the radius, since the slant height, height, and radius form a right triangle:
l² = h² + r²
Plugging in the given values:
13² = 12² + r²
169 = 144 + r²
r² = 25
r = 5 cm
Now that we have the radius, we can find the volume of the cone using the following formula:
V = (1/3)πr²h
Substitute the known values:
V = (1/3)π(5²)(12)
V = (1/3)π(25)(12)
V = (1/3)π(300).
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Can you help me solve this!
Hello!
surface area
= 2(6*2) + 2(4*2) + 4*6
= 2*12 + 2*8 + 24
= 24 + 16 + 24
= 64 square inches