Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
used graphing calculator
Student council wants to paint a mural of the school mascot on a wall in the gym. The scale 1 inch represents 2.5 feet is used in their plan the mascot will be 10 feet tall in the actual mural how tall is the mascot on the plan in inches
Answer:
4 inches
Step-by-step explanation:
1 inch * 10 feet / 2.5 feet = 4 inches
A right triangle has a right exterior angle?
True or False?
A vanilla thickshake is $2 more than a fruit juice. If 3 vanilla thickshakes and 5 fruit juices cost $30, determine their individual prices using simultaneous elimination
Answer:
vanilla thickshake = $5
fruit juice = $3
USING ELIMINATION METHOD
Let the price of vanilla thickshake = x
Let the price of fruit juice = y
Given that a vanilla thickshake is $2 more than a fruit juice.
so
x = 2+y ...... (Equation 1)Given that If 3 vanilla thickshakes and 5 fruit juices cost $30.
3x+5y=30 ...... (Equation 2)So the system of equations
[tex]x = 2+y[/tex]
[tex]3x+5y = 30[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}x-y=2\\ 3x+5y=30\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-y=2\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:3x-3y=6[/tex]
[tex]\begin{bmatrix}3x-3y=6\\ 3x+5y=30\end{bmatrix}[/tex]
so
[tex]3x+5y=30[/tex]
[tex]-[/tex]
[tex]\underline{3x-3y=6}[/tex]
[tex]8y=24[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}3x-3y=6\\ 8y=24\end{bmatrix}[/tex]
solve 8y = 24 for y
[tex]8y=24[/tex]
Divide both sides by 2
[tex]\frac{8y}{8}=\frac{24}{8}[/tex]
[tex]y=3[/tex]
[tex]\mathrm{For\:}3x-3y=6\mathrm{\:plug\:in\:}y=3[/tex]
[tex]3x-3\cdot \:3=6[/tex]
[tex]3x-9=6[/tex]
[tex]3x=15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{15}{3}[/tex]
[tex]x=5[/tex]
Therefore,
The price of fruit juice = y = 3The price of vanilla thickshake = x = 5
2ND METHOD
Step-by-step explanation:
Let the price of fruit juice = xAs a vanilla thickshake is $2 more than a fruit juice.
Thus the price of thickshake vanilla = x+2Given that 3 vanilla thickshakes and 5 fruit juices cost $30.
3(Vanilla thickshakes) + 5(fruit juice) = 30
3(x+2) + 5x = 30
3x+6+5x=30
8x+6=30
8x=30-6
8x=24
x = 3
Thus,
The price of fruit juice = x = $3The price of vanilla thickshake = x+2 = 3+2 = $5I'm having some trouble on this
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
Answer:
1/2x + 5
Step-by-step explanation:
The y intercept is 5 & the slope is already given!
What is the measure of RST shown in the diagram below?
Answer:
dsdsdsdsdsdssdsddddddddd
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current monthly rent. Let r represent Cody's current rent. Set up an equation and solve it to find the value of r.
Answer:
[tex]r = 43.35[/tex]
Step-by-step explanation:
Given
[tex]Current\ Rent = r[/tex]
[tex]Increment = 15\%[/tex]
[tex]New\ Rent = \$51[/tex]
Required
Determine the value of r
The value of r can be set up percentage increase formula as follows:
[tex]\%Increment = \frac{New\ Rent - Current\ Rent}{Current\ Rent}[/tex]
Substitute values in the above equation
[tex]15\% = \frac{51 - r}{51}[/tex]
Cross Multiply
[tex]51 - r = 15\% * 51[/tex]
Convert percentage to decimal
[tex]51 - r = 0.15 * 51[/tex]
[tex]51 - r = 7.65[/tex]
And the value of [tex]r\ is\ calculated\ using:[/tex]
[tex]r = 51 -7.65[/tex]
[tex]r = 43.35[/tex]
Hence, Cody's current rent is $43.35 monthly
Please help due in 10 minutes
Answer:
the second one
Step-by-step explanation:
6x-15
What is the slope of the line that passes through the points El 1, 4) and F(2, 6)?
O-3/2
O 2/3
O 3/2
Answer:
2/3
Step-by-step explanation:
(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3
please simply the equation:- -p - 11 + 3
Answer:
11+p-3 or 3+p-11
Step-by-step explanation:
depending if the p is negative or positive
A coat was marked down by 60 percent from its original price of $99. Including an 8 percent sales tax, what is the final cost of the coat?
$39.60
$42.77
$59.40
$64.15
Given:
A coat was marked down by 60 percent from its original price of $99.
Rate of sales tax = 8%
To find:
The final cost of the coat after including tax.
Solution:
We have,
Original price = $99
Rate of marked down = 60%
Rate of sales tax = 8%
Marked price = Original price - 60% of original price.
[tex]\text{Marked price}=99-\dfrac{60}{100}\times 99[/tex]
[tex]\text{Marked price}=99-59.4[/tex]
[tex]\text{Marked price}=39.6[/tex]
Now,
Final cost = Marked price + Sales tax
[tex]\text{Final cost}=39.6+\dfrac{8}{100}\times 39.6[/tex]
[tex]\text{Final cost}=39.6+3.168[/tex]
[tex]\text{Final cost}=42.768[/tex]
[tex]\text{Final cost}\approx \$42.77[/tex]
Therefore, the correct option is B.
Answer:
Its B
Step-by-step explanation:
Homer buys groceries for 50 dollars and a coffee for 5 dollars. Sales tax is 8%. How much does Homer actually have to pay?
Answer:
44
Step-by-step explanation:
(50+5)=55x.08= 4.4
55+4.4= 59.4
Answer:
$59.40
Step-by-step explanation:
$55 + $4.40 (8% tax) = $59.40
If a^m=a^n , what can you determine about m & n?
Answer:
m=n
Step-by-step explanation:
i am not 100% sure what the answers would be but it would me m=n
what is the slope represented in the table??????
Answer:
what?
Step-by-step explanation:
karma
Could you tell me the answer of 3(b)? Pleaseeeeee
Answer:
(b)
[tex]\displaystyle \frac{2005}{2006}[/tex]
Step-by-step explanation:
(a)
First, we have to prove that:
[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)}[/tex]
Operate:
[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{x+1-x}{x(x+1)}[/tex]
Simplifying:
[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)} [1][/tex]
(b)
Now we use the above expression to find the sum:
[tex]\displaystyle S=\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+...+\frac{1}{2005\times 2006}[/tex]
Let's use [1] for each term of the sum:
[tex]\displaystyle \frac{1}{1\times 2}=\frac{1}{1}-\frac{1}{2}[/tex]
[tex]\displaystyle \frac{1}{2\times 2}=\frac{1}{2}-\frac{1}{3}[/tex]
[tex]\displaystyle \frac{1}{3\times 4}=\frac{1}{3}-\frac{1}{4}[/tex]
[tex]\displaystyle \frac{1}{2005\times 2006}=\frac{1}{2005}-\frac{1}{2006}[/tex]
Substituting:
[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2005}-\frac{1}{2006}[/tex]
Note the terms 1/2 and -1/2, 1/3 and -1/3, etc. are canceled out, leaving only the first and last terms:
[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2006}=\frac{2006-1}{2006}[/tex]
[tex]\boxed{\displaystyle S=\frac{2005}{2006}}[/tex]
2 1⁄7 × 3 3⁄4 × 5 1⁄3 =
plz help me :,(
Answer:
42 6/7
Step-by-step explanation:
For me what i usually do is i convert the mixed number into a fraction, which for example:
Example and Explanation: Step 1
so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:
3 3/4:
3 x 4 = 12 + 3 = 15 = 15/4
5 1/3:
5 x 3 = 15 + 1 = 16 = 16/3
Now that they are all fractions we can finally do the multiplication
Multiplying Fractions: Step 2
Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.
In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and 7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..
Reduce: Step 3
This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.
Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,
=3600÷1284÷12=3007
Converting to a mixed number using long division with remainders for 300 ÷ 7.
300÷7=42r6
Therefore:
300/7 = 42 6/7
I am so sorry if i am wrong
The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187
John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct?
I am having a hard time with imaginary numbers,please help.
___________________________________________________________
Answer:
no. i*i = -1
2i*3i=-6
now if they meant complex numbers the answer is still no
(2+4i)(2-4i) = 4-8i+8i-16 = -12
___________________________________________________________
Please help! 30 points! ASAP plz and correct answers only please!!
Answer: NA and Rb and there are 20 protons in calcium!
Step-by-step explanation:
Answer:
No. of protons = 20
No. of electrons = 20
No. of neutrons = 20
Step-by-step explanation:
Part 1 :
Na, K and Rb are in the same group.
So, K and Rb are the two elements that have the same properties as sodium ( Na ).
Part 2 :
Atomic Number of Calcium = 20
Note :
Atomic Number = No. of protons
Therefore,
No. of protons = 20
Note :
No. of neutrons = No. of protons.
Therefore,
No. of neutrons = 20
Calcium is the 20th element, with 20 protons. Since a stable atom has a net charge of 0, it must have 20 electrons.
By the distributive law 49×17+49×3
Please help me answer these.
1: A storage box has a volume of 56 cubic inches, and the base of the box is 4 inches by 4 inches
What is the height of the box?
2: A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet. If the height of the water in the pool is 1 1/3 feet, what is the volume of the water in cubic feet?
3: Lin’s second pan has a length of 8/3 inches, a width of 15/4 inches, and a height of 3/2 inches. What is the volume of the second pan?
4: Lin has two small baking pans, each shaped like a rectangular prism.
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 11 1/4 square inches. It’s length is 4 1/2 inches. What is the width of the foil?
5: Select all statements below that show correct reasoning for finding 15 divided by 2/9
A - Multiply 15 by 2, then divide by 9
B - Multiply 15 by 9 then divide by 2
C - Multiply 15 by 1/9 then multiply by 2
D - Multiply 15 by 9, then multiply by 1/2
6: Mai biked 6 3/4 miles today, and Noah biked 4 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answer:
1 is 3.5
2 is 480
3 is 15
4 is 2.5
5 is B and D
WILL GIVE BRAINELIEST ( dont know how to spell it lol)
Temperature can be measured in degrees Celsius (°C). A temperature of 0°C is the freezing point of water. Which statements are true?
Select all correct answers.
A temperature of 10°C is colder than –12°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
A temperature of –16°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A temperature of –8°C is colder than –12°C.
A half degree above the freezing point is a negative number.
A half degree above the freezing point is a negative number.
When the temperature is 7° below freezing, the temperature is –7°C.
Answer:
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –16°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
A temperature of 10°C is colder than –12°C.
When the temperature is 70° above freezing, the temperature is 70°C.
A temperature of –8°C is colder than –12°C.
When the temperature is 7° below freezing, the temperature is –7°C.
What does ‘b” represent in y=mx+b
Answer:
In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.
Step-by-step explanation:
find the mean of given data 32,41,28,54,35,26,23,33,38,40.
Answer:
350/ 10 = 35
Step-by-step explanation:
hope it helps!
........
Answer:
mean= 32+41+28+54+35+26+23+33+38+40/10
mean=350/10
mean= 35
If 24% of 400 people watched the news, how many ppl watched?
Answer:
96 people
Step-by-step explanation:
24÷100 × 400=96
Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)
Answer:
[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]
Step-by-step explanation:
The standard form of a complex number:
[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]
[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]
quick one pls help!!
A movie theater sends out a coupon for 80% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket
Answer:
The Equation for the situation is written as
y = 0.8x
Step-by-step explanation:
y is the price of the ticket with the coupon
x is the original price of the ticket
A movie theater sends out a coupon for 80% off the price of a ticket.
This is expressed algebraically as:
80% × x
80/100 × x
= 0.8x
Therefore, the Equation for the situation is written as
The price of the ticket with the coupon:
y = 0.8x
Kirk's average driving speed is 7 kilometers per hour faster than Thor's. In the same length of time it takes Kirk to drive 450 kilometers, Thor drives only 408 kilometers. What is Kirk's average speed?
Answer:
x = 816 kilometers per hour.
Step-by-step explanation:
Given the following data;
Distance traveled by Kirk = 450km
Distance traveled by Thor = 408 km
Let the average driving speed of Thor be x.
Translating the word problem into an algebraic equation;
k = x + 6
We know that the time taken to cover a distance by an object with speed is given by the formula;
Time = distance/speed
Substituting into the equation, we have;
408/x = 405/x + 6
Cross-multiplying, we have;
408*(x + 6) = 405*x
408x + 2448 = 405x
408x - 405x = 2448
3x = 2448
x = 2448/3
x = 816 kilometers per hour.
Select the correct answer.
Which statement is true about this equation?
3(-y + 7) = 3(y + 5) + 6
A
The equation has one solution, y= 0.
OB.
The equation has one solution, y=-1.
C.
The equation has no solution.
D.
The equation has infinitely many solutions.
Reset
Answer:
THE ANSWER IS A. I GOT IT RIGHT ON EDMENTUM.
Step-by-step explanation:
A
The equation has one solution, y= 0