Answer: 546
Step-by-step explanation:
14 ⇒ 10 + 4
x 39 ⇒ 30 + 9
36 | ← 9 x 4
90 | ← 9 x 10
120 | ← 30 x 4
300 | ← 30 x 10
546
1.819÷1.2 round your answer to the nearest tenth
Kevin makes $78.37 per day. How much does he make in 7 days
Answer:
$ 548.59
Step-by-step explanation:
The complete solution is given in attachment below.
Which statement best describes the function h(t) = 210 – 15t?
h(t) is a linear function with a slope of -15.
Answer:
B
Step-by-step explanation:
Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Juan drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Juan live from the mountains?
Answer:Juan live 384 miles from the mountains.
Step-by-step explanation:
Let x be the speed of Juan for trip to the mountains
Time taken by Juan to reach the mountains=8 hours
then distance traveled by Juan for trip to mountain= speed × time=8x..........(1)
Time taken by Juan to reach the home= 6 hours
Speed increased by 16 miles per hour ∴ the resultant speed to reach the home by Juan =x+16
then distance traveled by Juan to reach the home =speed × time
= (x+16)6......................(2)
Now distance is same in both the case (1) and (2),we get
8x= (x+16)6
⇒8x=6x+96..............(by solving brackets)
⇒2x=96..............(subtracting 6x from both sides )
⇒x=48....................(dividing 2 from both sides)
Putting this value in (1) ,we get
Distance traveled by Juan for trip to mountain =8×48=384 miles.
∴ Juan live 384 miles from the mountains.
By using the rate and time of journey, it is determined that Juan lives 384 miles away from the mountains.
Explanation:This question is about calculating the distance based on the rate and time of travel. Let's denote the distance to the mountains as 'D'. According to the question, Juan drove to the mountains and it took 8 hours. On his way home, there was no traffic and he was able to travel at a faster rate, which took 6 hours.
Let's denote the speed to the mountains as 'S', therefore his speed back was 'S + 16' (16 miles per hour faster). From the formula speed = distance/time (D = S*T), we know that the distance to and from the mountains remained the same, so we can set up the following equation to solve for the unknown distance D:
8S = 6(S + 16)
Solving for 'S' we get 48 mph. We can substitute S=48 into the first equation to get D = 8S = 8*48 = 384 miles. So, Juan lives 384 miles away from the mountains.
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what two numbers have an absolute value of 21.63
The correct answer would be -21.63 and +21.63
Chris wants to tip 15 percent to the waiter at a restaurant. If his meal is $19.50, how much should he tip the waiter?
15% is written as 0.15 in decimal format.
Multiply the cost of the meal by 0.15.
19.50 x 0.15 = 2.925, which would round to $2.93
The tip is $2.93
To calculate a 15% tip for a $19.50 meal, convert 15% to decimal form (0.15), multiply by the cost of the meal ($19.50), and round to the nearest cent, resulting in a $2.93 tip.
Chris wishes to tip 15 percent to the waiter for his meal which costs $19.50. To calculate the amount of the tip, we need to convert the percentage to a decimal and then multiply it by the cost of the meal. Here's how you can do it:
Convert the tip percentage to a decimal: 15% ightarrow 0.15.
Multiply the decimal by the total cost of the meal: $19.50 imes 0.15.
The calculation gives us the tip amount: $2.925.
Since it's difficult to leave a fraction of a cent as a tip, we would round this to the nearest cent, giving us $2.93.
Therefore, Chris should tip $2.93 to the waiter.
X to the power of 2 equal 100 how to solve
Answer: {-10, +10}
Step-by-step explanation: A common mistake in this problem would be to say that if x² = 100, x must equal 10.
Remember however that before you do anything else you must set the equation equal to 0.
So our first step is to subtract 100 from both sides to get x² - 100 = 0. Next, factor the left side to get (x + 10)(x - 10) = 0.
So either x + 10 = 0 or x - 10 = 0.
Solving for x in each equation, we have x = -10 or x = +10.
So our answer is not just 10, it's -10 or +10.
I have also attached my work in the image provided.
What is the remainder of 23870 divide by 38
The remainder when dividing 23870 by 38 is 16.
Explanation:To find the remainder when dividing 23870 by 38, you divide the larger number (the dividend) by the smaller number (the divisor). If the division operation does not produce a whole number, the 'left over' digits are considered the remainder. When you divide 23870 by 38, the quotient (or the answer) is 628, and the remainder is 16. Therefore, 16 is the remainder when 23870 is divided by 38.
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Suppose that the cost of renting a snowmobile is $37.50 for 5 hours. What would be the cost of renting 2 snowmobiles for 5 hours?
The cost of renting 2 snowmobiles for 5 hours would be $75, as you double the cost for one snowmobile, which is $37.50.
Explanation:The cost for renting one snowmobile for 5 hours is
$37.50
. If you want to rent 2 snowmobiles for the same amount of time, you simply need to double the cost. In mathematics, this is a simple multiplication operation. So,
2 x $37.50 = $75
. Therefore, the cost of renting 2 snowmobiles for 5 hours would be
$75
.
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What is the next number in the pattern of 12 24 72 288
The next number is 1440.
Here is the pattern:
12*2=24
24*3=72
72*4=288
So, you have to multiply 288 by 5, which will get you the answer 1440.
Someone help please?
Answer:
43:76
Step-by-step explanation:
3/4-5/4m=113/24
please show work
a boat is marked up to 20% on the original price . The original price was $50 what is the sales price of the boat before sales tax?
Answer:
60
Step-by-step explanation:
Answer:
60 dollars.
Step-by-step explanation:
Markup is nothing but the difference between the selling price of a good or service and its cost. It is expressed as a percentage above the cost. In short, we can say that it is the added price over the total cost of the good or service that provides the seller with a profit.
Original price = 50 dollars
ADD: 20% on original price = Markup price = 50(20/100) = 10 dollars
Hence Sales price = 50+10 = 60 dollars
Will GIVE 5STARS!!!!
What is the radical form of the expression?
(5x^3y^4)^3/7
The answer is D
hope this helped
(5x^3y^4)^3/7
= 7th root of (5 x^3 y^4)^3
= 7th root of (5^3 x^9 y^12)
= 7th root of (125 x^9 y^12)
Answer is the last option
7th root of (125 x^9 y^12)
A recipe for 114 dozen cupcakes calls for 123 cups of flour, but rashida has only 1 cup of flour. How many cupcakes can she make?
Answer:
11 cupcakes
Step-by-step explanation:
Given that 114 dozen cupcakes can be prepared from 123 cups of flour.
i.e. if flour is 123 cups no of cupcakes that can be made = 114x 12 = 1368
For 1 cup how many cupcakes?
i.e. when cup reduces no of cupcakes also will decrease.
This relation is directly proportional.
Hence answer = 1x1368/123 =11.1219
Approximately 11 cupcakes Rashida can prepare
The question is about proportion. The recipe states that 1368 cupcakes require 123 cups of flour. Therefore, with 1 cup of flour, Rashida can make approximately 11 cupcakes.
Explanation:The question is asking for the number of cupcakes that can be made with one cup of flour. This is a problem of ratios or proportions, a common subject in Mathematics. The recipe states that 114 dozen cupcakes (which is 1368 cupcakes) need 123 cups of flour, hence the ratio is 1368 cupcakes to 123 cups of flour.
To find out how many cupcakes we can make with 1 cup of flour, we set up a proportion: 1368/123 = x/1. Here, 'x' represents the number of cupcakes we can make with 1 cup of flour. Solving for 'x' gives us the number of cupcakes we can make. By doing this, we get 'x' = 11.12, but since we can't have a fraction of a cupcake, Rashida can make approximately 11 cupcakes with 1 cup of flour.
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A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?.
a. 6 by 6
b. 3 by 12
c. 4 by 9
d. 4 and 8
Answer:
b on edge
Step-by-step explanation:
The dimensions of the rectangle are 3 inches by 12 inches. This conclusion is achieved by using the supplied information that the rectangle is four times as long as it is wide, and the area is 36 square inches.
Explanation:The problem is describing a rectangle whose length is four times its width and has an area of 36 square inches. The formula for the area of a rectangle is length x width. Given the rectangle is four times as long as it is wide, we can represent the width as 'w' and the length as '4w'. Therefore, the calculation would look as follows: 4w * w = 36. Solving this equation we get w^2=9, so w=3. Consequently, the length would be 4*3=12. Therefore, the dimensions of the rectangle are 3 inches by 12 inches.
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Kate sets a goal to walk 3 miles every day for a year. How many miles more or less than 1,000 miles will she walk in the year? A. 33 miles less B. 95 miles more C. 33 miles more D. 95 miles less
3 miles per day * 365 days = 1095
1095-1000=95
The answer is B. 95 miles more.
Find the area of the rectangle 9ft and 14ft
You simply need to mulotiply those two numbers
Then u get 126!
Easy Peasy
Find two consecutive positive integers such that the sum of their squares is 841
Let x = 1st positive integer
Let x + 1 = 2nd positive integer
As give, their sum of squares is 841
[tex]x^{2}+(x+1)^{2}=841[/tex]
[tex]x^{2}+x^{2}+2x+1=841[/tex]
[tex]2x^{2}+2x+1=841[/tex]
[tex]2x^{2}+2x-840=0[/tex]
factor 2 out, [tex]x^{2}+x-420=0[/tex]
[tex]x^{2}+21x-20x-420=0[/tex]
[tex]x(x+21)-20(x+21)=0[/tex]
(x+21)(x-20)
This gives, x=20 and =-21 (neglect the negative value)
So, x = 20
x+1 = 21
So, the two numbers are : 20 and 21
80 POINTS!!!!!!
Identify the x-axis on the plane shown below:
Question 1 options:
The green line represents the x-axis
The red line represents the x-axis
The black line represents the x-axis
The blue line represents the x-axis
What is the length of DE?
Answer:
18
Step-by-step explanation:
a p e x
Select the multiplication sentence that applies the associative property of multiplication to the example. Example: (5 × 3) × 2 = 30 A. (5 + 3) × 2 = 16 B. 5 × (3 + 2) = 25 C. 5 × (3 × 2) = 30 D. 2 + (4 × 7) = 30
Answer : C
A. (5 + 3) × 2 = 16
Here we have 5 +3 . there is a + sign in between. so it does not comes under Associative property of multiplication
B. 5 × (3 + 2) = 25
We have 3 + 2 . there is a + sign in between. so it does not comes under Associative property of multiplication
C. 5 × (3 × 2) = 30
we have 5 times 3 times 2. so it comes under Associative property of multiplication
D. 2 + (4 × 7) = 30
We have 2 + . there is a + sign in between. so it does not comes under Associative property of multiplication
What are the three forms of linear equations?
That would be point-slope form, standard form, and slope-intercept form.
The three forms of linear equations are the standard form (Ax + By = C), the slope-intercept form (y = mx + b), and the point-slope form (y - y1 = m(x - x1)).
The three forms of linear equations are:
The standard form, which appears as Ax + By = C, where A, B, and C are constants, and A and B are not both zero.
The slope-intercept form, given by y = mx + b, with m representing the slope and b representing the y-intercept.
The point-slope form, which is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a known point on the line.
Each form is useful in different contexts: the standard form is often used when both x and y intercepts are integers; the slope-intercept form is useful for quickly identifying the slope and intercept; and the point-slope form is handy when a point on the line and the slope are known.
Anyone please help me. Will give you brainliest.
1.When you rotate a figure counterclockwise, is that a positive rotation or a negative rotation?
2.Rotating from the x-axis to the y-axis is a rotation of how many degrees?
1. When you rotate a figure counterclockwise, is that a positive rotation or a negative rotation? It is a positive rotation. Positive rotations are counterclockwise or anti-clockwise.
2. Rotating from the x-axis to the y-axis is a rotation of how many degrees? it is generally 180 degrees. To rotate a figure 180 degrees, we apply the rule (x, y) → (-x, -y).
i dont really know about 2. but i think for 1. is it is a negative rotation if you spin it like that.
Algebra 2 help!! Find the value of k
13 By the factor theorem, if the function is divisible by x - 3 then f(3) = 0. So we have:-
2(3)^3 + k(3)^2 + 7(3) - 3 = 0
9k = 3 - 21 - 54 = -72
k = -72/9 = -8 answer
14. Similarly , f(-4) = 0 , so we have:-
(-4)^3 + 9(-4)^2 + k(-4) - 12 = 0
-64 + 144 - 4k - 12 = 0
4k = -64 + 144 - 12 = 68
k = 68/4
k = 17 answer
Given: `Delta`ABC
Prove: The sum of the interior angle measures of `Delta`ABC is 180°.
What is the missing step in this proof?
Answer: Statement: `/_1 ~= /_4`, and `/_3 ~= /_5`.
Reason: Alternate Interior Angles Theorem
I just did the test and got 100%
Answer:
Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].
Reason:Alternate Interior Angles Theorem
Step-by-step explanation:
We are given that a triangle ABC.
We have a proof that the sum of interior angle measures pf triangle ABC is [tex]180^{\circ}[/tex].
We have to find the missing steps in the given proof.
Statement 1 :Let points A,B and C form a triangle.
Reason: Given
Statement 2:[tex]$\overleftrightarrow{DE}$[/tex] is a line passing through B and parallel to [tex]\overline{AC}[/tex] with angles as labeled.
Reason: Definition a parallel line and labeling angles.
Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].
Reason:Alternate Interior Angles Theorem
Statement 4:[tex]m\angle 1=m\angle 4 and m\angle 3=m\angle 5[/tex]
Reason: Congruent angles have same measures
Statement 5 [tex] m\angle 2+m\angle 4+m\angle =180^{\circ}[/tex]
Reason: Angle addition and definition of a straight angle
Statement 6: [ytex]m\angle 1+m\angle 2+m\angle 3=180^{\circ}[/tex]
Reason : By substitution
Hence proved.
98 POINTS PLEASE HELP! How does the graph of f(x) = (x − 1)^2 relate to the basic function f(x) = x^2?
a.
shift 1 unit to the left
c.
shift 1 unit up
b.
shift 1 unit to the right
d.
shift 1 unit down
When you graph the two functions given, the graph B) shift 1 unit to the right.
Graph the two functions, see attached pictures:
~Rise Above the Ordinary
Becca made 3 dozen cookies with 2/3 of a batch of her mother's cookie dough. How many cookies will she make if she uses that entire batch?
A 20 x 32 rectangle is embedded inside a 98 x 108 rectangle. They share a vertex and their sides partially over lap as shown. Find the distance between the centers of the two rectangles.
Answer:
The distance is 55 units.
Step-by-step explanation:
Think of the bottom left corner of the rectangles, the shared vertex, as the origin of a coordinate plane. The positive x-axis is the lower 108-unit long horizontal side, and the positive y-axis is the left vertical 98-unit long side. The bottom left vertex is (0, 0). The center of the small rectangle is at (10, 16). The center of the large rectangle is at (54, 49). Now use the distance formula to find the distance between those two points.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(54 - 10)^2 + (49 - 16)^2} [/tex]
[tex] d = \sqrt{44^2 + 33^2} [/tex]
[tex] d = \sqrt{1936 + 1089} [/tex]
[tex] d = \sqrt{3025} [/tex]
[tex] d = 55 [/tex]
What is the correct evaluation of 2a2 - 3b2 when a is equal to 2 and b is equal to -1?
A.11
B.5
C.-5
D.-11
The correct answer is A. 11