Translate the sentence into an algebraic expression and solve for y. The
product of 3 and a number y plus 3 is negative 11
Answers
The algebraic expression: 3y + 3 = -11
To solve for y, first subtract 3 from both sides.
3y = -14
Divide both sides by 3
y = -14/3
Related Questions
Solve the following problems.
Given: IL Perpendicular EJ at M
Prove: mEL + mll = 180°
Just need the proof!
Answers
!!!ANSWER IMEDDIATELY!!! What is the area of this trapezoid?
Answers
Answer:
A
Step-by-step explanation:
I worked it out :)
geometry pls help i will give brainliest
Answers
Answer:
12..........'.............
Answer:
Yeah the Answer is 12
Step-by-step explanation:
- 4(x + 5) = 16 what does x equal?
Answers
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9
Make x the subject formula in the equation 3x + 6 - 3b
Answers
Answer:
x = b - 2
Step-by-step explanation:
Given :
3x + 6 - 3b = 0
Subtract (6 - 3b) on both sides :
3x + 6 - 3b - (6 - 3b) = 0 - (6 - 3b)
3x + 6 - 6 + 3b - 3b = -6 + 3b
3x = 3b - 6
Divide throughout by 3 :
1/3 x 3x = 1/3 x (3b - 6)
x = b - 2
Done!
A skier skis along a circular ski trail that has a radius of 1.7 km. The skier starts at the East side of the ski trail and travels in the CCW direction. Let θ represent the radian measure of the angle the skier has swept out.
a) Write an expression (in terms of θ) to represent the skier's distance to the East of the center of the ski trail (in km).
b) Write an expression (in terms of θ) to represent the skier's distance to the North of the center of the ski trail (in km).
Answers
The skier's distance to the east of the center of the ski trail is
x = 1.25cosθ
The skier's distance to the north of the center of the ski trail is
y = 1.25sinθ
When radius 'r' and the angle θ are given, the coordinates (x,y) as shown
x = east direction
y = north direction
In this case we get,
x = r cosθ
y = r sinθ
Given r = 1.25 km
We get,
x = 1.25 cosθ in east direction
y = 1.25 sinθ in north direction
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Rocio deposits $3,200 in a one year CD at
3.1% interest, compounded daily. What is
her APY to the nearest hundredth of a
percent?
Answers
The annual percentage yield (APY) of Rocio is 3.11 %
What is Annual Percentage Yield?
The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.
Given data ,
Deposit amount of Russ = $ 3200
Interest rate R = 3.1 %
And it is given that the interest rate is compounded daily , so
Interest rate R = 3.1 % / 365
= 0.031 / 365
= 0.000084
Now , The annual percentage yield (APY) is calculated as
The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵
= 3200 x ( 1.000084 )³⁶⁵
= 3200 x 1.031133
= 3299.6272
≈ 3299.627
Therefore , the interest will be
= 3299.627 - 3200
= $ 99.627
Now , the annual percentage yield (APY) is given by
= Interest / Deposit
= 99.627 / 3200
= 0.03113
≈ 3.11 %
Hence , annual percentage yield (APY) of Rocio is 3.11 %
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On its own, 5 � � 5ab5, a, b is the product of
Answers
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
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Convert 9.2495 to a percent
Answers
Answer:
924.95 %
Step-by-step explanation:
9.2495 x 100% = 924.95 %
The sum of the measures of angles x and y is 120°. The measure of the angle x is 12 less than the measure of the angle y.
Find x and y.
Answers
Answer:
Y-12 + y =120 take 12 to the other side get 2 y = 132
Y=66 so y-12=x
X=54
Amy and Richard each solved an equation using the quadratic formula.
Amy's Equation and Method
Latex: 4x^2+7x-20=0
4
x
2
+
7
x
−
20
=
0
Step 1: Latex: x=\frac{-7\pm \sqrt{7^2-4(1)(20)}}{2(4)}
x
=
−
7
±
√
7
2
−
4
(
1
)
(
20
)
2
(
4
)
Step 2: Latex: x=\frac{-7\pm \sqrt{49-80}}{8}
x
=
−
7
±
√
49
−
80
8
Step 3: Latex: x=\frac{-7\pm \sqrt{-31}}{8}
x
=
−
7
±
√
−
31
8
Step 4: Latex: x=\frac{-7\pm i\sqrt{31}}{8}
x
=
−
7
±
i
√
31
8
Richard's Equation and Method
Latex: x^2-6x+8=0
x
2
−
6
x
+
8
=
0
Step 1: Latex: x=\frac{6\pm \sqrt{(-6)^2-4(1)(8)}}{2(1)}
x
=
6
±
√
(
−
6
)
2
−
4
(
1
)
(
8
)
2
(
1
)
Step 2: Latex: x=\frac{6\pm \sqrt{36-32}}{2}
x
=
6
±
√
36
−
32
2
Step 3: Latex: x=\frac{6\pm \sqrt{4}}{2}
x
=
6
±
√
4
2
Step 4: Latex: x=\frac{6+\sqrt{4}}{2}
x
=
6
+
√
4
2
and Latex: x=\frac{6-\sqrt{4}}{2}
x
=
6
−
√
4
2
Step 5: Latex: x=\frac{6+2}{2}
x
=
6
+
2
2
and Latex: x=\frac{6-2i}{2}
x
=
6
−
2
i
2
Step 6: Latex: x=4
x
=
4
and Latex: x=3-i
x
=
3
−
i
Both students made a mistake.
Describe the mistake each student made.
Explain what each student needs to do to fix their mistake.
Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: c
c
of your equation and giving the solutions to the equation you chose.
Number your responses from 1 to 3 so your instructor can tell which question you're responding to. You may not receive full credit if your teacher cannot determine that you've answered each question.
Search entries or author
Answers
The mistake each student made and what each student needs to do to fix their mistake is;
Amy didn't include the negative sign for the 20, so she should include itRichard added a negative sign underneath the radicalQuadratic equationx² - 6x + 8 = 0
x = - b ± √b² - 4ac / 2a
where,
a = 1b = -6c = 8x = - b ± √b² - 4ac / 2a
= -(-6) ± √(-6)² - 4(1)(8) / 2(1)
= 6 ± √36 - 32 / 2
= 6 ± √4 / 2
= 6 ± 2 / 2
x = 6/2 + 2/2 or 6/2 - 2/2
= 3 + 1 or 3 - 1
x = 4 or 2
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Assume you get a 15-year $165,000 mortgage loan at 8.2% interest, with monthly payments. Use the amortization registers of your calculator to find the balance after payment 100.
$66,878.13
$98,101.87
$97,176.29
$92,695.87
Answers
PLEASE DONT IGNORE AND HELP
Identify the correct equation for the graph.
Answers
The correct equation for the graph include the following: C. y = 2x/3 - 4.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.From the information provided above, we have the following slope and data points on the line:
Points on the x-axis = (0, 6).Points on the y-axis = (-4, 0).At point (0, -4), a linear equation of this line can be calculated in point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-4) = (0 + 4)/(6 - 0)(x - 0)
y + 4 = 2x/3
y = 2x/3 - 4
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Evaluate:
(13)7
Need help!
Answers
Answer:
91
Step-by-step explanation:
13×7=91
brackets can be used for multiplication
Answer:
13
×7
___
91
Step-by-step explanation:
multiply 13 by 7 to get an answer of 91.
Find the center and radius of the circle with a diameter that has endpoints (-6,10)
and (2,3)Enter the center as an ordered pair, : Enter the radius as a decimal correct to three decimal places :
Answers
Step-by-step explanation:
the center of the circle is the midpoint of the diameter.
and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).
the midpoint between points A and B
(xm, ym) = ((xa + xb)/2, (ya + yb)/2)
in our case the midpoint (center of the circle) is
((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)
about the radius
diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =
= 113
diameter = sqrt(113) = 10.63014581...
radius = diameter / 2 = 5.315072906... ≈ 5.315
Subtract 55 from the sum of 234 and 8
Answers
242-55=187
187 is the answer :)
A company is shipping a case of bottled water to a store there are 64 bottles of water in each case if each water bottle holds 3 1/2 cups of water how many gallons of water are in a case of water
Answers
There are a couple of steps to solve this problem:
Find the total number of cups of water in a case of water.
Convert the total number of cups to gallons.
To find the total number of cups of water in a case of water, we can multiply the number of bottles in a case (64) by the number of cups in each bottle (3 1/2):
64 x 3 1/2 = 224 cups
To convert cups to gallons, we can divide the number of cups by the number of cups in a gallon. There are 16 cups in a gallon, so we can divide 224 by 16:
224 cups / 16 cups/gallon = 14 gallons
Therefore, there are 14 gallons of water in a case of water.
Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
Answers
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
PLEASE HELP IMAGE ATTACHED!!
a) Write a polynomial expression for the area of the shaded portion of the figure b) The area of the shaded portion is indicated above the figure . Find the area of the larger and smaller rectangles
A) A polynomial expression for the area of the shaded portion of the figure is ?
B) The area of the larger rectangle is ? Sq in.
C) The area of the smaller rectangle is ? Sq in.
Answers
Answer:
b) 78
c) 67
Step-by-step explanation:
2x+6+x+5=3x+11
3x+11=78
3x=67
x=22.333...
Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-
image??
Answers
Answer:
C
Step-by-step explanation:
i just guessed but it was correct
HELP ME TO GET THE ANSWER
Answers
Answer: May 7th i believe
Step-by-step explanation: If they both pick up on may 4th and then they pick up every 3-4 days it would be 7-8 but 3 to 4 it is 3 and a half so the answer would be May 7th. Hope this helps...
What is the rental cost? Step by step.
Answers
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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HELP WITH THIS MATH QUESTION PLEASE! I WILL GIVE BRAINLYEST
Sarah is having a party. Shes going to buy cookies and donuts for desserts. Donuts come in packs of 9 and cookies come in packs of 6. Sarah needs exactly 42 desserts. She does not want any left over.
a. how many packs of cookies and donuts does Sarah need to buy to get 42 desserts? (only show one way)
b. how many different ways are there for her to buy cookies and donuts?
please explain your answers
Answers
b. 2 ways, 36+6 and 18+24( 2 cookie packs and 4 donut packs)
i think this is right
What do you think makes a rule function?
Answers
Answer:
A rule is a function if every number on the input side goes to exactly one number on the output side. A function is a rule where, if you know the input, you know what the output is going to be.
Step-by-step explanation:
i d k the answer so u sear che d it
but hope it helps
bye stay safe
god bless
and carry on learning
Help ASAP). Let f (x) = 1 / x - 3 and g (x) = /x +5..What is the domain of ( fog) (x)? Look at the picture for the answer choices. Will Mark Brainliest.
Answers
Answer:
Domain: [-5,4) U (4,∞)
Step-by-step explanation:
\(1/(\sqrt{x+5} )-3) \\= (\sqrt{x+5} )+3)/(\sqrt{x+5} )-3)(\sqrt{x+5} )+3) \\= (\sqrt{x+5} )+3)/(x-4)\)
x = 4 is a singular point , y: undefined x≠ 4
x = -5 , non-negative value of radical √x+5
Domain: [-5,4) U (4,∞)
A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
Answers
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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3^2y-1 = (9)(27)^y-2 calculate the value of y
Thank you
Answers
Answer:
y = 3
Step-by-step explanation:
3^2y - 1 = (9)(27)^y - 2
3^2y-1 = 243^y - 2
log(243)/log(3) = 5
2y - 1 = 5(y - 2)
2y - 1 = 5y - 10
-5y -5y
-3y - 1 = -10
+ 1 +1
-3y = -9
-3 -3
y = 3
can anyone help me ??? pleassee on both of em
Answers
Answer:
28. B
29. D
30. A
Step-by-step explanation:
28.
2 5/8 yd × 5/6 yd =
= 21/8 × 5/6 yd²
= 105/48 yd²
= 35/16 yd²
= 2 3/16 yd²
Answer: B
29.
2641 becomes 6241.
In 6241, the 6 is in the thousands place.
6 × 1000 = 6000
Answer: D
30.
90 + 7 × (7 - 1) =
Use the correct order of operations.
= 90 + 7 × 6
= 90 + 42
= 132
Answer: A
Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answers
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answers
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.