Hey there!
The only thing we can do to simplify this expression is to combine 5a and 2a, the two like terms in the expression.
Our final answer is 7a + 9.
Hope this helps!
Lupe’s chili recipe makes 12 servings and uses 12 green peppers and 4 red peppers. Drag green peppers and red peppers into the box to show how many Lupe needs for 9 servings.
Answer: 9 green peppers and 3 red peppers
Step-by-step explanation:
Lupe makes 12 servings:
She uses 12 green peppers and 4 red peppers.
If you want to know the number of each pepper that she needs for servings, you must divide the number of peppers by the number of servings:
green : 12/12 = 1
She needs one green pepper for serving:
red: 4/12 = 1/3
She needs one third of a red pepper for serving, so for 9 servings she needs:
9*1 = 9 green peppers
9*(1/3) = 9/3 = 3 red peppers
The y-value is ten decreased by the square of the x-value
answer:
y = 10 - x²
step-by-step explanation:
the y value is means the y value is equal to meaning the first part of our equation is y =
10 decreased means 10 minus so the next part of our equation is y = 10 -
the square of the x value means x squared so the last part of our equation is y = 10 - x²
The required expression is y = 10- x²
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given statement is ,
The y-value is ten decreased by the square of the x-value
So we have two variables x and y.
So square of x = x*x = x²
and, ten decreased by the square of the x-value = 10- x²
Hence we get y is 10- x²
So the expression is
y = 10- x²
Hence,the required expression is y = 10- x²
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what is the value of a3
What are your options for the answers soI can further help you.
I need this fast! 30 points!
a.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other?
b.) Describe a series of at least two similar transformations that will transform polygon EFGH into polygon E’F’G’H’?
c.) There is more than one way to transform polygon EFGH into polygon E’F’G’H’. Describe the second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.
If kara lines up all 3/4 inch button what would be the total if the length?
To find out the total length of the buttons when lined up, multiply the number of buttons by the length of one button (3/4 inch). An expression for this would be L = n imes (3/4). A button is considered pressed if the extended key length K* is greater than or equal to LO, the rest length of the lock.
Explanation:If Kara lines up all her 3/4 inch buttons, the total length of the buttons aligned in a row can be found by multiplying the number of buttons by the length of one button. Let's denote the number of buttons as n, and the length of one button as 3/4 inches. Hence, the expression for the total length L would be L = n imes (3/4) inches. If the key K* finally stops at a position that is greater than or equal to the rest length of the lock LO, then the button will be pressed.
To determine whether the button will be pressed, we could set up an inequality: K* \\geq LO. If this condition holds true, Kara knows that the button is pressed.
Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?
2.0 mph
3.3 mph
5.0 mph
10.0 mph
Answer : 2.0 mph
Haji rows his canoe 10 mph in still water
Speed of still water = 10 mph
Let the speed of the current = x
Upstream speed = 10 - x
Downstream speed = 10+x
Upstream Distance = 4 miles
Downstream Distance = 6 miles
[tex]Time = \frac{Distance}{speed}[/tex]
Time taken on upstream = [tex]\frac{4}{10-x}[/tex]
Time taken on downstream = [tex]\frac{6}{10+x}[/tex]
Same time taken for both upstream and downstream
So [tex]\frac{4}{10-x} = \frac{6}{10+x}[/tex]
Cross multiply it
4(10+x) = 6(10-x)
40 + 4x = 60 -6x
Add 6x and subtract 40 on both sides
10x = 20 (divide by 10)
x= 2
So speed of the current = 2.0 mph
The approximate speed of the current that day is 2.0 mph.\
The correct option is A.
Given
The speeds of the current = x
Upstream speed = 10 - x
Downstream speed = 10+x
Upstream Distance = 4 miles
Downstream Distance = 6 miles
What is speed?Speed is defined as the fraction of the total distance and time taken to complete it.
The following formula is used to calculate speed;
[tex]\rm Speed =\dfrac{Distance}{Time}[/tex]
Therefore,
The approximate speed of the current that day is;
[tex]\rm = \dfrac{Upstream \ distaance}{Upstream \ speed}= \dfrac{downstream \ distaance}{downstream \ speed}\\\\ \dfrac{4}{10-x}=\dfrac{6}{10+x}\\\\4(10+x)=6(10-x)\\\\40+4x=60-6x\\\\4x+6x=60-40\\\\10x=20\\\\x= \dfrac{20}{10}\\\\x=2[/tex]
Hence, the approximate speed of the current that day is 2.0 mph.
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NEED HELP ASAP!!!! PLEASE?! An insecticide contains 75 centigrams of inherit ingredient for every 1 centigrade of active ingredient. If a quantity of the insecticide weighs 380, how much of each type ingredient does it contain?
Add the ratios:
75 +1 = 76
Divide the total by that:
380 / 76 = 5
Multiply each ratio by 5:
75 * 5 = 375
1 * 5 = 5
There is 375 centigrams of inherit
and 5 centigrams of active
HELLLLLLLLLPPPPP IM CONFUSED
helpe help asap
Answer:
(1,1.5) (2, 3), etc.
Step-by-step explanation:
For each bottle sold, you go across the x-axis (the one that's horizontal) one time, and go up the y-axis (the one that's vertical) one and a half times. Hope this helps!
give that angle CFE is congruent to CFA, the measure of angle AFB = 23° and the measure of angle EFD = 69°, find the measure of angle EFB.
Answer:
m∠EFB = 157°
Step-by-step explanation:
We are given that m∠CFE = 90°
m∠AFB = 23° so;
m∠BFC = 90° - 23° = 67°
m∠EFB = m∠CFE + m∠BFC = 90° + 67° = 157°
Answer:
D. 157°
Step-by-step explanation:
Angle CFE is a right angle, as can be seen in the figure. So, m∠CFE = 90°. Two angles are congruent when they are equal. This means that angle CFE is equal to CFA, i. e., m∠CFA = 90°. Figure shown that m∠AFB + m∠BFC = m∠CFA. If m∠AFB = 23°, then, m∠BFC = 67°. It's also shown in the figure that m∠EFB = m∠CFE + m∠BFC. So, m∠EFB = 90° + 67° = 157°
im very mad a frustrated... i thought i was done for the day...and then this popped
please help.
12 points!!!!!!!!!
A cafeteria has two sodas. On machine has the following flavors: cola, root beer, and lime. The second machine has a lemon, orange, cola, and cherry. Which set represents all flavors in the two machines?
Answer:
The guy above is completely correct.
Just in case if no one believes him.
Step-by-step explanation:
Please give him brainliest.
Solve for a: d=1/4a^2bc
a = [tex]\sqrt{\frac{4d}{bc} }[/tex]
isolate the term in a
[tex]\frac{1}{4}[/tex] a²bc = d ( multiply both sides by 4 to eliminate the fraction )
a²bc = 4d ( divide both sides by bc )
a² = [tex]\frac{4d}{bc}[/tex]
Take the square root of both sides
a = [tex]\sqrt{\frac{4d}{bc} }[/tex]
If function f is defined by f(x)=2/3-4 what is f(-18)
Gotcha!
Since there is no variables listed, I'll solve it both ways. :-)
f(-18)=2/3(-18)-4
Multiply the fraction by negative 18!
f=-12-4
answer: f=-16
If it's this way then it goes like this:
f(-18)=2/3-4(-18)
f=2/3+72
f=218/3 or f=72.66666..... Rounded: 72.7
Donnie’s dog had a litter of puppies. He noticed that 2 are brown, 1 is striped and 3 are spotted. What is the ratio of total puppies to brown puppies?
I got 6:2
Answer:
6:2 is correct :)
Step-by-step explanation:
f(x)=1/4x^4+1/3x^3+9 concave up and concave down
Answer: Concave UP
Step-by-step explanation:
The polynomial is an even degree (4) so it will look similar to a parabola (U-shaped if positive, ∩-shaped if negative).
see attachment to see what this graph looks like.
write an equation for the line that passes through (5,-4) and is perpendicular to the graph of 5x -2y=-6
Answer:
y = (-2/5)x - 2
Step-by-step explanation:
One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +: 5x - 2y = -6 becomes 2x + 5y = c. Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.
Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.
Then -4 = -2 + D, so that D = -2.
The desired equation is thus y = (-2/5)x - 2.
Check: Does this pass through (5, -4)? Is -4 = (-2/5)(5) - 2 true? Yes.
Is the slope -2/5 the negative reciprocal of 5/2? Yes, it is.
12/84 as a unit fraction?
Simplify [tex]\frac{12}{84}[/tex], 84 ÷ 12 = 7, so, [tex]\frac{12}{84}[/tex] as a unit fraction equals; [tex]\frac{1}{7}[/tex]
~
1/7
This is because 84 is divisible by 12 and that would leave 7 in the denominator with 1 on top
Answer and show work please
write the number with the same value of 32 tens
32 tens is the same as 320.
hope that helps :)
What is the slope of the line whose equation is 12=4x-6y ?
the slope would be -2/3 hope this helps
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
16 is her weekly allowence
Imani's weekly allowance is $16. This is determined by setting up and solving an algebraic equation based on the information provided in the problem.
Explanation:Let's use the information given in the problem. The student, Imani, had an initial allowance. She spent half of it on mini-golf and then earned an extra $4 by washing a car. After these transactions, she has $12 remaining. We can use this to set up a simple algebraic equation.
Let x be the initial allowance. We know from the problem that Imani spent half of it, which is 0.5x, on mini-golf and earned an extra $4. So, the equation can be written as:
0.5x + $4 = $12
Solving this equation gives the weekly allowance. If we subtract $4 from both sides of the equation, we get 0.5x = $8. If we then divide each side by 0.5, we find that x = $16.
So, Imani's weekly allowance is $16.
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8(x+6)−10+r=3(x+12)+5x
Answer:
ne solution was found :
r = -2
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*(x+6)-10+r-(3*(x+12)+5*x)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((8•(x+6))-10)+r)-(3•(x+12)+5x) = 0
Step 2 :
Equation at the end of step 2 :
((8 • (x + 6) - 10) + r) - (8x + 36) = 0
Step 3 :
Equation at the end of step 3 :
r + 2 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : r+2 = 0
Subtract 2 from both sides of the equation :
r = -2
One solution was found :
r = -2
Step-by-step explanation:
Lin earns a salary of $65000 a year. His benefits are equal in value to 40 percent of his salary. What is the value of Lin's benefits?
The answer is 65000 divided by 40/100, which equates to 26000.
Tl;DR the benifit is 26000
In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a whole number?
Answer:
2
Step-by-step explanation:
A side of a triangle is less than the sum of the lengths of the other two sides and is greater than the positive difference of them.
third side is in between 1.2 and 2.6 but it has to be a whole number so its 2
A possible measure of the third side is 2m (to the nearest whole number)
Using the triangular theorem which states that the measure of the third side of the triangle is less than the sum of the other two sides.
Given the length of the other two sides as 1.9m and 0.7m
Taking the sum
Sum of other two sides = 1.9m + 0.7mSum of other two sides = 2.6mSince the length of the third side must e less than the sum, hence the required answer must be less than 2.6m.
A possible measure of the third side is 2m (to the nearest whole number)
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what are the different ways of solving systems of linear equations?
1) Graphing- If you graph the numbers you will easily be able to identify the answer.
2) Substitute- Substitute numbers in for x or y until they're equal on both sides.
EX: 2x+2=10
Substitute numbers in until you get a number that makes it equal on both sides
x= 4
3) Elimination- Eliminate numbers from both sides until they're equal.
Hope this helped! :)
what is the equation for 8x=40
Remark
What exactly do you want? You have written the equation. So perhaps what you would like is the value for x.
When people start doing algebra usually they are asked what multiplied by 8 will give 40. There is no procedure to that, just an answer.
8 times 5 = 40. So the answer is 5.
You do know that 8x means 8*x or multiply 8 times x do you not?
Procedure
8*x = 40 Divide both sides by 8
8x ÷ 8 = 40÷8
x = 5
23.61 divided by 5.1
The answer is 4.269 cause if You do it the long divison way you will see how
can someone help me on this? and please explain on how you do it. Thank you!
[tex]\frac{220 (granola bars/year}{1 (person)} * 273 million (people) = 60,060 million (granola bars)[/tex]
= 60,060,000,000
= 6.006 x 10¹⁰
Answer: 6.006 x 10¹⁰
central subs made 27 sandwiches using 12 pounds of turkey.how much turkey was used per sandwick?
27*12= 324 pounds of turkey
Dolores spent $13.00 of the $20.00 in her wallet which decimal represents the fraction of the $20.00 has spent?
Answer: .65
Step-by-step explanation:
The decimal representation of the amount spent, which is ratio of amount spent and the total amount in wallet is 0.65
Amount spent = $13.00
Total amount in wallet = $20.00
Fraction spent = Amount spent / total amount
To express as a decimal;
Take the ratio of the amount spent and the amount in wallet. Amount spent : Amount in wallet 13 : 20 = 13 / 20 = 0.65Therefore, the fractional representation of the amount spent from total is 0.65.
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