Answer:15
Step-by-step explanation:
You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2
Amira's cat food will last 7.5 weeks, considering the cat eats 1/10 of a bag per week.
To find out how many weeks the cat food will last, you can divide the amount of food Amira has by the amount her cat eats per week.
First, let's calculate how much her cat eats per week:
1/10 of a bag per week.
Now, let's calculate how many weeks the food will last:
(3/4) / (1/10)
To divide fractions, you can multiply by the reciprocal of the divisor:
(3/4) * (10/1) = (3/4) * 10 = (3 * 10) / 4 = 30/4
Now, let's simplify 30/4:
30 divided by 4 equals 7 with a remainder of 2, so 30/4 = 7 + 2/4
Since 2/4 simplifies to 1/2, we get:
7 + 1/2 = 7.5
So, the cat food will last approximately 7.5 weeks.
A hamilton multitouch watch was originally priced at $450 . At a closing of Alpha Omega jewelry shop, the watch is being reduced by 0.2 . What is the new selling price?
Answer:
$449.8
Step-by-step explanation: 450-0.2
The question is about calculating the new price of a Hamilton multitouch watch which was priced originally at $450, and is reduced by 20%. The new selling price of the watch is $360.
Explanation:The problem at hand is telling us that a Hamilton multitouch watch, which originally costs $450, is experiencing a price reduction of 0.2 or 20%. To calculate the new selling price, we need to multiply the original price of $450 by the reduction rate of 0.2 and then subtract that value from the original price.
The calculation would look like this: $450 * 0.2 = $90. This suggests that the watch is being discounted by $90.
Following, to calculate the new selling price, subtract the discount from the original price: $450 - $90 = $360. Thus, the new selling price of the Hamilton multitouch watch is $360.
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The diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.
Step-by-step explanation:
Let ABCD be a rhombus. So, AC (AC = 14 cm) and BD (BD=48 cm) will be its diagonals. Let us assume that diagonals are intersecting at point O.
Since, diagonals of a rhombus are perpendicular bisector.
[tex] \because \: OA = \frac{1}{2} \times AC \\ \\
\therefore \: OA = \frac{1}{2} \times 14
\\ \\ \huge \red{ \boxed{\therefore \: OA = 7 \: cm}} \\ \\ \because \: OB = \frac{1}{2} \times BD \\ \\ \therefore \: OB = \frac{1}{2} \times 48 \\ \\ \huge \red{ \boxed{\therefore \: OB = 24 \: cm}} \\ \\ In \: \triangle OAB, \: \: \angle AOB=90° \\ \therefore \: by \: Pythagoras \: Theorem \\ AB= \sqrt{OA^2 +OB^2 } \\ = \sqrt{7^2 +24^2 } \\ = \sqrt{49+576 } \\ = \sqrt{625 } \\ \huge \orange{ \boxed{\ \therefore \:AB= 25 \: cm.}}[/tex]
Hence, length of a side (or all) is 25 cm.
Final answer:
To find the length of a side of a rhombus with diagonals measuring 14 cm and 48 cm, one can use Pythagoras' theorem on the right-angled triangles formed by half the diagonals. The length of the side of the rhombus is calculated to be 25 cm.
Explanation:
The question involves finding the length of a side of a rhombus given the lengths of its diagonals. According to the properties of a rhombus, the diagonals bisect each other at right angles. In this case, the diagonals are 14 cm and 48 cm long. Therefore, we have two right-angled triangles formed by the diagonals, with each triangle having legs of 7 cm (half of 14 cm) and 24 cm (half of 48 cm).
To find the length of a side of the rhombus, we can use Pythagoras' theorem, which states that in a right-angled triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.
Applying Pythagoras' theorem:
Let the length of each side of the rhombus be s.
Use the right-angled triangle with sides 7 cm and 24 cm to solve for s (hypotenuse).
Calculate s² = 7² + 24².
So, s² = 49 + 576.
s² = 625.
Therefore, s = [tex]\sqrt{625}[/tex] = 25 cm.
Hence, the length of a side of the rhombus is 25 cm.
which is the qoutient of 1/5 divided by 3
Answer:
1/5
Step-by-step explanation:
Answer:
[tex]\frac{1}{15}[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}[/tex]÷[tex]\frac{3}{1}[/tex]
[tex]\frac{1}{5}[/tex]·[tex]\frac{1}{3}[/tex]
[tex]\frac{1}{15}[/tex]
A train travels at a constant speed of 24 miles per hour. Which equation and table show the correct relationship between h , the number of hours, and d , the distance traveled?
24h=d.
if you multiply 24 by the number of hours than you will get the distance.
if you traveled for 2hours than you would have traveled 48miles because if you multiply 24 by 2 you get 48.
In the equation 24 is distance traveled in 1 hour.
Answer:
24h=d
Step-by-step explanation:
0=0
2=48
4=96
7=168
its just multiples of 24 :)
can someone help me?
Answer:
registration fee: $50monthly fee: $80Step-by-step explanation:
Let r and m represent the registration fee and the monthly fee, respectively. We are told that the charges are ...
370 = r + 4m
530 = r + 6m
This is your system of equations.
__
Subtract the first equation from the second to start the solution.
(530) -(370) = (r +6m) -(r +4m)
160 = 2m . . . . . . simplify
80 = m . . . . . . . . divide by 2
Using this value in the first equation, we find ...
370 = r + 4(80)
50 = r . . . . . . . . . . . . subtract 320
The registration fee is $50; the monthly fee is $80.
Oliver has three green balls, two red balls , five yellows balls , and four orange balls in a bucket . He randomly chooses one ball out of the bucket without looking.
What is the probability he chooses a yellow ball?
If he removes all of the orange balls first, then what is the probability that he will choose a red ball out of the bucket?
Answer:
The probability that he chooses a yellow ball is 5/14. If he removes all the orange balls, the probability that he will choose a red ball is 2/10.
Step-by-step explanation:
Simple logic.
the values of x and y vary directly and one pair of values are given. write an equation that relates to the values x and y. simplify completely.
x=-4 y=6
Answer:
y = -3/2 x.
Step-by-step explanation:
y = kx where k is a constant.
6 = -4k
k = 6/-4 = -3/2
So the equation is y = -3/2 x.
(x - 1)2 = 4
how do i do this
Answer:
x = 3
Step-by-step explanation:
(x - 1)2 = 4
how to get this solved is very simple.
first step to apply is the BODMAS RULE
B..................... bracket
O..................... of
D.....................Division
M.................... multiplication
A..................... addition
S.................... Subtraction
so (x - 1)2 = 4
we have,
2x - 2 = 4 ( by opening the bracket)
collect the like terms
2x = 4+2
divide both sides by 2
2x/2 = 6/2
x = 3
to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside
(x - 1)2 = 4
(3-1)2=4
2(2)=4
4=4.............................. proved
Find the area of a trapezoid
Answer:
Area of trapezoid = 32√3
Step-by-step explanation:
Using Pythagoras theorem
8² = (4√3)² + x²
64 = 48 + x²
x² = 64 - 48
x² = 16
x = √16
x = 4
Area of trapezoid = ½(a + b) h
Where a = 10 - 4 = 6
b = 10
h = 4√3
Area of trapezoid = ½(6 + 10) × 4√3
= ½ × 16 × 4√3
= 8 × 4√3
= 32√3
∠ABC measures 124° and ∠MNO measures 56°. Therefore, the two angles are
Answer:
Supplementary
Step-by-step explanation:
Since the two angles add up to 180 degrees, they are supplementary
find value of a and b in the triangle. (please help)
Which expression of is equivalent to 1/3(9 - 18x) + 1/4(8x - 12
following expression [tex]1/3(9 - 18x) + 1/4(8x - 12)[/tex] is equal to [tex]-4x[/tex] . Kindly match with your options!
Step-by-step explanation:
Here we have , following expression to evaluate . 1/3(9 - 18x) + 1/4(8x - 12 or , [tex]1/3(9 - 18x) + 1/4(8x - 12)[/tex] :
⇒ [tex]\frac{1}{3}(9 - 18x) + \frac{1}{4}(8x - 12)[/tex]
⇒ [tex]\frac{1(4)}{3(4)}(9 - 18x) + \frac{1(3)}{4(3)}(8x - 12)[/tex]
⇒ [tex]\frac{(9 - 18x)(4)}{3(4)} + \frac{(8x - 12)(3)}{4(3)}[/tex] { Making denominator of both terms same ! }
⇒ [tex]\frac{(9 - 18x)(4)+(8x - 12)(3)}{12}[/tex]
⇒ [tex]\frac{9(4) - 18(4)x+8(3)x - 12(3)}{12}[/tex]
⇒ [tex]\frac{36- 72x+24x - 36}{12}[/tex]
⇒ [tex]\frac{ -48x}{12}[/tex] { Simplifying even further }
⇒ [tex]-4x[/tex]
Therefore , following expression [tex]1/3(9 - 18x) + 1/4(8x - 12)[/tex] is equal to [tex]-4x[/tex] . Kindly match with your options!
Final answer:
The equivalent expression for 1/3(9 - 18x) + 1/4(8x - 12) is -4x.
Explanation:
The given expression is 1/3(9 - 18x) + 1/4(8x - 12).
We need to distribute the fractions across the terms inside the parentheses:
Multiply 1/3 by each term in the first set of parentheses: (1/3 * 9) - (1/3 * 18x).Multiply 1/4 by each term in the second set of parentheses: (1/4 * 8x) - (1/4 * 12).Simplify each term: 3 - 6x + 2x - 3.Combine like terms: (3 - 3) + (-6x + 2x).The final simplified expression is -4x.Therefore, the equivalent expression is -4x.
14+16+11+2+6+6+15+2+11
And round to the nearest tenth
Answer:
83
Step-by-step explanation:
Add the numbers together
Answer:
80
Step-by-step explanation:
14 + 16 = 30
30 + 11 = 41
41 + 2 = 43
43 + 6 = 49
49 + 6 = 55
55 + 15 = 70
70 + 2 = 72
72 + 11 = 83, which, rounded to the nearest tenth, is 80
Which function has a graph that is a straight line?
y=−x3+14
y=−87+2x
y=−52+8x
y=−9+6x
C. Is your answer
y=−52+8x
ErvIn bowled 7 games last weekend. his scorers are : 155,165,138,172,193,142. what is the range of ErvIn scores
The range of Ervin's scores is 55.
Range is the difference between the largest number and the smallest number.
To find the range of a set of values, first sort the values numerically (smallest to largest). With this set, it would look like this: 138, 142, 155, 165, 172, 193. Lastly, subtract 138 from 193 to find the range. By doing so, you will get 55 as an answer.
I hope this helps!
The range of ErvIn's scores is 55.
The range of ErvIn's scores is calculated by finding the difference between the highest and lowest scores.
Arrange the scores in numerical order: 138, 142, 155, 165, 172, 193.
Find the highest score: 193.
Find the lowest score: 138.
Subtract the lowest score from the highest score to find the range: 193 - 138 = 55.
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct?
associative property
commutative property
distributive property
identity property
Answer
Distributive Property.
Step-by-step explanation:
First you solve for the first equation by multiplying 2 by 18 which is 36. Then 3 times 18 which is 54. Then you add them together to get 90.
Next you solve for the second equation by multiplying 5 by 18 which is 90.
Both of these equations are solved by the distributive property because your distributing the number outside of the parenthesis.
The table represents a function.
A 2-column table with 4 rows. The first column is labeled x with entries negative 6, negative 2, 0, 3. The second column is labeled f of x with entries 3, 1, 4, negative 2.
What is f(–2)?
f(–2) = 1
Solution:
The table represents a function.
x f(x)
–6 3
–2 1
0 4
3 –2
To find the value of f(–2):
f(–2) means the value of f(x) for the corresponding x value –2.
In the table, if the x value is –2, then f(x) is 1.
See the value of f(x) which correspond to x = –2.
Hence f(–2) = 1.
PROBLEM
Write the equation of the line that passes through (0, -6) and (4, 10).
Answer:
y= 4x-6
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Let's find the gradient, m, first.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Using the above formula,
[tex]m = \frac{10 - ( - 6)}{4 - 0} \\ m = \frac{10 + 6}{4} \\ m = \frac{16}{4} \\ m = 4[/tex]
Subst. the value of m into the equation.
y=4x+c
To find c, substitute a coordinate into the equation.
When x=0, y= -6,
-6= 4(0) +c
c= -6
Thus, the equation of the line is y= 4x -6.
after five days in her new job, karen has $800 in her bank account. if she is adding exactly $50 to her account each day, when will her balance reach $1000? explain.
Answer:
After 4 more days
Step-by-step explanation:
The remaining amount of money needed to reach the goal is $200 this is because 1000-800=200
Now we divide the 200 by the amount Karen earns a day
200/50=4
That means after 4 more days Karen will have $1000
What is the range of the function
A square root can’t be a negative value, so the root would be greater than or equal to zero.
Range:
Y>=O
[O, infinity)
What's the sum of 6ft feet 10 in and 8 ft 9 inches
15 ft. 7 in is the sum of 6 feet 10 inches and 8 feet 9 inches.
6 feet 10 inches + 8 feet 9 inches
= 14 feet 19 inches
= 15 feet 7 inches
Please help :( I don’t u derstand it
Answer:
[tex]\frac{3}{(2x+7)}[/tex]
Step-by-step explanation:
[tex]\frac{3x +3}{2x^2 + 9x + 7}[/tex]
[tex]\frac{3(x + 1)}{(2x + 7)(x + 1)}[/tex]
[tex]\frac{3}{(2x+7)}[/tex]
Answer: [tex]\frac{3}{(2x+7)}[/tex]
GRAPH BELOW:
Help plzzzz I don't understand how to do this
Mercury's distance = 5.8 x 10¹⁰
Venus' distance = 1.86 farther or more than Mercury's, namely 1.86(5.8 x 10¹⁰)
Earth's distance = 2.58 farther or more than Mercury's, namely 2.58(5.8 x 10¹⁰)
[tex]\bf \stackrel{\textit{venus' distance}}{1.86(5.8\times 10^{10})}\implies \begin{cases} 1.86(58000000000)\\ 107880000000\\ 1.0788\times 10^{11} \end{cases} \\\\\\ \stackrel{\textit{earth's distance}}{2.58(5.8\times 10^{10})}\implies \begin{cases} 2.58(58000000000)\\ 149640000000\\ 1.4964\times 10^{11} \end{cases}[/tex]
about how many meters farther is Earth's than Venus? well, we can simply get their difference, we know the Earth is farther than Venus, so we can just subtract Venus' distance from Earth's to get the difference, namely 149640000000 - 107880000000.
[tex]\bf \stackrel{earth}{149640000000} - \stackrel{venus}{107880000000}~~ = ~~41760000000\implies \stackrel{\textit{rounded up}}{4.2\times 10^{10}}[/tex]
Your help is deeply is appreciated.
Answer:
x = 3
Step-by-step explanation:
[tex]\\4x^2-2x=30\\\\x=3\\4(3)^2-2(3)=30\\4(9) - 6 =30\\36 - 6 = 30\\30 = 30 \\\\x=4\\4(4)^2-2(4)=30\\4(16) - 8 =30\\64 - 8 = 30\\56\neq 30[/tex]
56 is not equal to 30
Jamie recently started working as
manager at a company. He will be paid
an annual salary of $42,600 and will be
paid monthly. The company requires the
following deductions:
• Social Security (6.2%)
• Medicare (1.4%)
• State Income Tax (3%)
• Federal Income Tax (13%)
• Medical and Dental Insurance ($260 per month)
• Retirement ($280 per month)
How much should his monthly net paycheck be?
a $2587.55
b. $2172.20
$2667 20
$2712.40
d
Answer:
B
Step-by-step explanation:
From annual salary of 42,600, we have to subtract the following percentages:
Social Security:
0.062 * 42,600 = 2641.2
Medicare:
0.014 * 42,600 = 596.4
State Income Tax:
0.03 * 42,600 = 1278
Federal Income Tax:
0.13 * 42,600 = 5538
Total Deductions (from percentages) = 2641.2 + 596.4 + 1278 + 5538 = 10053.6
Now, remaining salary:
42,600 - 10053.6 = 32546.4 (annual)
Divided by 12 to get monthly:
32546.4 / 12 = 2712.2 (monthly)
Now, monthly deductions are:
260 + 280 = 540
Net Salary: 2712.2 - 540 =2172.2
Based on the information given his monthly net paycheck is: b. $2172.20.
Net paycheckDeduction
Social security=42,600×62%
Social security = 2641.2
Medicare=42,600×1.4%
Medicare = 596.4
State Income Tax= 42,600×3%
State Income tax = 1278
Federal Income Tax=42,600×13%
Federal Income Tax = 5538
Total Deductions = 2641.2 + 596.4 + 1278 + 5538
Total deduction= 10053.6
Net paycheck:
Net paycheck=(42,600 - 10,053.6)/12- (260 + 280)
Net paycheck=32,546.4/12-540
Net paycheck= 2712.2 - 540
Net paycheck=$2172.2
Therefore, his monthly net paycheck is: b. $2172.20.
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Joshua and his friend Maxine want to buy charcoal pencils to add to their growing collection of art
supplies. They go to store A and find out that a 10 pack is worth $16.25. But at store B a 10 pack is worth
$7.65 but of lesser quality. Find out how much one pencil is worth at store A and store B.
is 3x to the power of 2 a function ?
Answer:
No
Step-by-step explanation:
Because in a function for every one x there is one y.
Answer:
YES.
Step-by-step explanation:
f(x) = 3x^2.
This is a parabola which opens upwards ( roughly U shaped) so it will pass the vertical line test and is a function.
What are the two ways to solve a system of equations algebraically
The functions f(x) and g(x) are defined below.
f(x)= 2e^x + 1
g(x)= 1/2e^x + 5/2
Determine where f(x) = g(x) by graphing.
A. x = 0
B. x = 0; x = 3
C. x = 1; x = 3
D. x= 3
Answer:
Answer : A x=0
Step-by-step explanation:
hello :
f(x)= 2e^x + 1 graph red
g(x)= 1/2e^x + 5/2 graph bleue
2e^x + 1
= 1/2e^x + 5/2
by graphic solution one solution x=0
Answer:
d) x=3
Step-by-step explanation:
X/4 < -1.5 for a million dollars and Brainliest. Send cash app too
Answer:
x < -6
Step-by-step explanation:
X/4 < -1.5
Multiply each side by 4
X/4*4 < -1.5*4
x < -6