Answer:
b) 3
Step-by-step explanation:
4.5+1.5x=18-3x
1) Subtract 4.5 from both sides:
1.5x=13.5-3x
2) Add 3x to both sides:
4.5x=13.5
3) Divide both sides by 4.5:
x=3
Select the correct answer.
Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza with t toppings, her total cost can be found using this expression:
0.90(2.25d + 1.40t + 6).
What is the total cost for Lindy and her friends to order 4 drinks and a medium pizza with 3 toppings?
A.
$17.28
B.
$16.52
C.
$28.40
D.
$15.69
Answer:
A
Step-by-step explanation:
In the expression
[tex]0.90(2.25d+1.40t+6),[/tex]
d is the number of drinks Lindy orders;
t is the number of toppings Lindy orders.
If Lindy and her friends order 4 drinks and a medium pizza with 3 toppings, then d = 4 and t = 3. Find the value of the expression above when d = 4 and t = 3:
[tex]0.90(2.25\cdot 4+1.40\cdot 3+6)=0.90(9+4.20+6)=0.90\cdot 19.20=17.28[/tex]
So, Lindy and her friends will pay $17.28
Lindy's total cost for ordering 4 drinks and a pizza with 3 toppings amounts to $17.28, so the correct answer is Option A.
Explanation:First, we substitute the given number of drinks and toppings into the expression, resulting in 0.90(2.25*4 + 1.40*3 + 6). That simplifies to 0.90(9 + 4.2 + 6), which further simplifies to 0.90(19.2). Finally, we multiply 0.90 by 19.2 to get the total cost, that is $17.28, which implies the correct answer is Option A.
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48 decreased by twice a number
Answer:
48 - 2x
Step-by-step explanation
minus = decreased
2x= twice a number
The expression is 2n-48.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
Let the number be n.
The expression formed form the sentence is
2n - 48
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How can you use the distributive property to
compute 7(49)?
Answer:
343.
Step-by-step explanation:
7(49)
= 7(40 + 9)
= 7*40 + 7*9
= 280 + 63
= 343.
Kai has a mass of 55kg. What would Kai weigh on Mars? (The gravitational field strength on Mars is 3.7N/kg). Give your answer to 1 decimal place.
Answer:
203.5 N
Step-by-step explanation:
Force = mass × acceleration
F = ma
F = (55 kg) (3.7 N/kg)
F = 203.5 N
The weight of the Kai on planet mars is 203.5 N.
WeightWeight can be defined as the heaviness of a person. Also, weight is the product of the mass of the object and the acceleration due to gravity (or gravitational field strength).
[tex]\rm{ Weight = mass \times gravitational\ field\ strength[/tex]
Given to usKai's mass = 55kg,gravitational field strength on Mars = 3.7N/kg,Kai's weight on Mars[tex]\rm{Kai's\ weight\ on\ Mars = Kai's\ mass \times gravitational\ field\ strength\ on\ Mars[/tex]
[tex]= 55 \times 3.7\\= 203.5\ N[/tex]
Hence, the weight of the Kai on planet mars is 203.5 N.
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Can somebody please help me
Answer:
462 sq in
Step-by-step explanation:
3((14 2/3)(10.5))
3(154)
462
6÷(7÷28)what is the answer?show work
Answer:
24
Step-by-step explanation:
6/(7/28)
6/(1/4)
6 * 4/1
6 * 4
24
Am I right about this or..?
Answer:
Correct, as 4 is the only number repeating twice
Simplify tan 9x - tan 5x / 1 + tan 9x tan 5x.
Simplification of [tex]\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}[/tex] is tan 4x
Solution:
By using sum-difference formula for tangent,
Tangent of difference between two angles is written as,
[tex]\tan (x-y)=\frac{\tan x-\tan y}{1+\tan x \tan y}(\text { Equation } 1)[/tex]
By comparing the above equation 1 with [tex]\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}[/tex] ,
we get x = 9x and y = 5x
By substituting x = 9x and y = 5x in equation 1,
[tex]\begin{array}{l}{\tan (9 x-5 x)=\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}} \\\\ {\tan (4 x)=\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}} \\\\ {\text { Therefore, } \frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}=\tan 4 x}\end{array}[/tex]
Hence by using difference formula for tangent, [tex]\frac{\tan 9 x-\tan 5 x}{1+\tan 9 x \tan 5 x}[/tex] is simplified as tan4x
HELP PLEASE I NEED THIS ANSWER AND SHOWN WORK NOWWW ASAP PLEASEEE
Answer:
D
Step-by-step explanation:
Since the constructed line is a perpendicular bisector of the line AB, then
AC = BC ← substitute values
4x + 12 = 2x + 18 ( subtract 2x from both sides )
2x + 12 = 18 ( subtract 12 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Hence
AB = 2AC = 2(4x + 12) ← substitute x = 3
AB = 2(12 + 12) = 2 × 24 = 48 → D
I need a brainiest answer, will anyone help me.
Of course! Im here to help!
earth: 90 pounds; venus:
1.0730000000000000000000000000
I searched it up
The table shows the number of subscribers to several Internet providers. Determine if each statement is true or false.
TABLE:
Internet Provider Subscribers:
Company A - 2.45
Company B - 3.12
Company C - 2.83
QUESTIONS:
A. Company B earned $119 million last month. Each subscriber paid about $40.
B. Company A earned $108 million last month. Each subscriber paid about $30.
Guys please help.
Answer:
A - True
B - False
Step-by-step explanation:
Looking at option A,
Company B had 3.12 subscribers and earned 119. To find each subscriber's value we divide 119 by 3.12
119/3.12 = 38.14
Looking at Option B,
Company A had 2.45 subscribers and earned 108. To find each subscriber's value, we divide 108 by 2.45
108/2.45 = 44.08
Hence, for Option A, each subscriber paid about $40 is correct because it's close to 38.14
For Option B, each subscriber paid about 30 is incorrect since it's way over, 44.08.
Thus,
A - True
B - False
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
1/5+2/3
Answer: Find the lowest common denominator of the 2 denominators
Step-by-step explanation:
The common in both denominator is 15.
3: 3,6,9,12,15,18,21,24,27,30
5: 5,10,15,20,25.30,35,40,43,50
Since 5x3 is 15, 1/5 x 3/3= 3/15
Since 3x5 is 15, 2/3 x 5/5= 10/15
3/15 is equivalent to 1/5 and 10/15 is equivalent to 2/3.
3/15 + 10/15 is equal to 13/15
13/15 can't be simplified because they are both odd numbers and they have less than 2 factors.
Hope this helped! Have a nice day! :D
Final answer:
To add 1/5 and 2/3, you must find the LCD, which is 15, convert the fractions to have the same denominators, then add them to get the sum of 13/15.
Explanation:
To add the unlike fractions 1/5 and 2/3, we first need to convert them to equivalent like fractions using their Least Common Denominator (LCD).
Prime factorize the denominators: 5 is already a prime number, and 3 is also a prime number.
To find the LCD, we take the product of the different prime factors, which is 5 × 3 = 15.
Convert each fraction by multiplying by an appropriate form of '1' to get the same denominator: 1/5 = (1×3)/(5×3) = 3/15 and 2/3 = (2×5)/(3×5) = 10/15.
With like denominators, we can now add the fractions: 3/15 + 10/15 = 13/15.
The final answer, 13/15, is already in its simplest form and cannot be reduced further.
a line passes through the point(-4,-6) and has a slope of 1/2 What is the
equation of the line?
Answer:
x-2y-8=0
Step-by-step explanation:
The equation of line is given by the relation
y-y1=m(x-x1)
where m is the slope
now, given x1=-4 and y1=-6 and the slope is 1/2.
substitute into the equation to get
y+6=1/2(x+4)
multiplying through with the L.C.M
which is 2
2(y+6)=1/2×2(x+4)
2y+12=x+4
making x the subject
x= 2y+8 hence the equation of the line is x-2y-8 =0
Final answer:
The equation of the line that passes through the point (-4, -6) with a slope of 1/2 is y = 1/2x - 4.
Explanation:
To find the equation of a line that passes through the point (-4, -6) with a slope of 1/2, we use the point-slope form of a line's equation which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the point is (-4, -6) and the slope m is 1/2.
Plugging in the values, we get:
y - (-6) = (1/2)(x - (-4))
Simplify the equation:
y + 6 = 1/2x + 2
To get the equation in slope-intercept form y = mx + b, we do:
y = 1/2x + 2 - 6
y = 1/2x - 4
So the equation of the line is y = 1/2x - 4.
Sheri made the list shown of costs she expects this week. To what percent should Sheri round the gratuity for the restaurant server in order to come up with a good estimate?
A. 10%
B. 15%
C. 20%
B. 30%
Your Answer Is C. 20%
Answer: 20%
Step-by-step explanation:
Change .06 to a percent
Answer:
6 percent
Step-by-step explanation:
if the 6 was in the tenths place (1 to the left) it would be 60%, however it is in the hundreds place therefore its value is 6%
Final answer:
To convert 0.06 to a percent, multiply it by 100 to get 6%.
Explanation:
To change 0.06 to a percent, you multiply it by 100. Doing this moves the decimal point two places to the right.
Here's the step-by-step calculation:
Start with the decimal: 0.06
Multiply by 100: 0.06 × 100 = 6
The result is: 6%
So, 0.06 as a percent is 6%.
if f(x)=3+x/x-3, What is f(a+2)
Answer:
f(a + 2)= (5 + a) / (a - 1) or f(a+2)= (a+5)/(a-1)
Step-by-step explanation:
f(x)=(3+x)/(x-3)
To evaluate f(a+2), simply replace the x with a+2
f(a+2) = (3 + a+2)/(a+2 - 3)= (a+5)/(a-1)
or
To answer items such as this, we directly substitute the a + 2 to the all the x's in the function:
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above:
f(a + 2) = (5 + a) / (a - 1)
Step-by-step explanation:
f(x) = 3+x/x-3
Substituting x = a+2, we get
[tex]f(a + 2) = \frac{3 + (a + 2)}{(a + 2) - 3} \\ f(a + 2) = \frac{a + 5}{a - 1} [/tex]
which is the final answer.
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There are 28 students in class the ratio of girls to boys is 3:4. How many girls
Step-by-step explanation:
let the num be 3x & 4x
3x+4x=28
7x=28
x=28/7
x=4
now, num of girls=3x=3×4=12
& num of boys=4x=4×4=16
Answer: 12 girls
Step-by-step explanation: You first want to make this equation become a fraction with the number of girls on top and the total on bottom. This becomes 3/7. To make this over 28, multiply by 4 on the top and the bottom. This makes 12/28, making 12 girls the answer.
Which is the largest fraction? 7/13 or 6/13
Answer:
7/13
Step-by-step explanation:
more parts to the fraction
Answer:
[tex]\frac{7}{13}[/tex] > [tex]\frac{6}{13}[/tex]
Since both fractions have the same denominator, you can just compare through the numerator.
Hence, [tex]\frac{7}{13} > \frac{6}{13}[/tex]
gcf of 150, 275 and 420
The greatest common factor (GCF) of 150, 275, and 420 is 25. It is the highest number that can divide all three numbers without a remainder and is found by identifying the common prime factors among them.
Explanation:The question is asking for the greatest common factor (GCF) of the numbers 150, 275, and 420. The GCF is the highest number that can divide all three numbers without leaving a remainder. To find the GCF, we can break down each number into its prime factors:
150 = 2 × 3 × 5 × 5275 = 5 × 5 × 11420 = 2 × 2 × 3 × 5 × 7the common factors for 150, 275, and 420 are 5 × 5, since these are the only prime factors that appear in all three prime factorizations. Consequently, the GCF of 150, 275, and 420 is 5 × 5, which equals 25.
PLEASE HURRY! DUE TOMORROW! Please answer all of these.
Answer:
1. C
2. C
3. A
Step-by-step explanation:
Solve the inequality.
2(4x - 3) _>-3(3x) + 5x?
0 x 20.5
OX22
(-0, 0.5]
(-0, 2]
Answer:
[tex]\large\boxed{[0.5;\ \infty)}[/tex]
Step-by-step explanation:
[tex]2(4x-3)\geq-3(3x)+5x\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-3)\geq-9x+5x\\\\8x-6\geq-4x\qquad\text{add 6 to both sides}\\\\8x\geq-4x+6\qquad\text{add}\ 4x\ \text{to both sides}\\\\12x\geq6\qquad\text{divide both sides by 12}\\\\x\geq\dfrac{6}{12}\\\\x\geq\dfrac{1}{2}\to x\in\left[\dfrac{1}{2};\ \infty\right)[/tex]
The question is about solving an inequality, but the actual inequality is not fully provided. General steps have been given to approach solving such problems, with a note that a specific solution requires the complete inequality. The student should provide the full inequality for a precise solution.
Explanation:The student is asking for help with solving an inequality problem. Without a complete and clear inequality provided, we are unable to give a full step-by-step solution. However, I can provide a general approach to solving linear inequalities:
First, combine like terms and simplify both sides of the inequality.Next, isolate the variable term on one side of the inequality.Finally, divide by the coefficient of the variable if necessary to solve for the variable, and don't forget to reverse the inequality sign if you divide by a negative number.If the student provides the full inequality, using these steps will lead to the solution, where you would then graph the solution set on a number line and use either parenthesis or brackets to denote whether endpoints are included (for 'greater/less than or equal to') or excluded (for 'greater/less than').
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use the distributive property to rewrite each expression. Then simplify (a+7)2
Answer:
2a+14
Step-by-step explanation:
2×a+2×7
2a+14
Answer:
[tex]\huge\boxed{\boxed{2a+14}}[/tex]
Step-by-step explanation:
Hello.
All we should do in order to simplify this expression is
multiply a+7 times 2.
Multiply a times 2 and 7 times 2:
2a+14
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
22.35 word form using proper place value
Answer:
twenty two point thirty five
Step-by-step explanation:
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is 13.80. How much was the tip
Answer:
2.07
Step-by-step explanation:
One eighth of a number is less than or equal to 3
Answer:
less than
Step-by-step explanation:
The number the question is referring to is any number that is less than or equal to 24, since one eighth of 24 or any number less than 24 would be less than or equal to 3.
Explanation:The question is asking for a value which, when divided by 8 (or one eighth of it), results in a number that is less than or equal to 3. This implies a linear inequality. We can solve this by:
Starting with the inequality: 1/8 * x <= 3Multiplying each side by 8 to isolate the x variable: x <= 3 * 8Doing the multiplication on the right side: x <= 24So the solution to this inequality is any number less than or equal to 24. In other words, the original number can be 24 or any number less than 24.
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When you are finding mode, if two numbers appear the same amount of times, do you choose the greater number or not?
Answer:
Both of them are the mode
Step-by-step explanation:
Answer:
The number that appears the most
Step-by-step explanation:
No, you choose the number that appears the most.
(example) What is the mode of these numbers?
4,4,5,5,5,6,6
The mode would be 5 because it comes up the most
Multiply.
(2.5×10−^8)(9×10−^10)
Express your answer in scientific notation.
A. 2.25×10−^19
B. 2.25×10−^17
C. 2.25×10−^16
D. 2.25×10−^18
HELP ME QUICK PLZ MY TEST IS TIMED!
AND I ONLY HAVE LIKE 10 MORE MIN ö ♥
Answer:
B. 2.25×10−^17
Step-by-step explanation:
Answer:
2.25×10−^17
I took the test so im 100% sure
Good luck
The volume of a box of earrings is 216 cubic centimeters. What is the length of one edge of the box
Answer:
its 6
Step-by-step explanation:
because
6.6.6= 216
Answer:
6 centimeter is the length of one edge of the boxStep-by-step explanation:
Given : The volume of a box of earrings is 216 cubic centimeters.
To find : What is the length of one edge of the box.
Solution : We have given
Volume of a cubic box = 216 cubic centimeter .
Volume of cube = (side)³ .
(side)³ = 216 cubic centimeter .
On taking cube root both sides.
side = [tex]\sqrt[3]{216}[/tex].
Side = [tex]\sqrt[3]{6*6*6}[/tex].
Side= 6 centimeter .
Therefore, 6 centimeter is the length of one edge of the box.
Y = 5x + 3 written in standard form
Answer:
5x - y = - 3
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = 5x + 3 ( subtract y from both sides )
0 = 5x - y + 3 ( subtract 3 from both sides )
- 3 = 5x - y, that is
5x - y = - 3 ← in standard form