1 > 5 (b - 14) + 16 help me please

Answers

Answer 1

Answer:

b < 11

Step-by-step explanation:

Given

1 > 5(b - 14) + 16 ← distribute and simplify right side

1 > 5b - 70 + 16

1 > 5b - 54 ( add 54 to both sides )

55 > 5b ( divide both sides by 5 )

11 > b, thus

b < 11


Related Questions

jamie has 8/10 of a candy bar leftover he want to split into 1/3 pieces how many 1/3 pieces can he make

Answers

Answer:

Step-by-step explanation: solution.. 8/10 of candy bar left over to be split into 1/3 pieces...

(8/10)÷1/3=12/5=2.4pieces

Select the correct answer.
AB and BC form a right angle at point B. If A= (-3,-1) and B = (4,4), what is the equation of
O A.
x + 3y = 16
B. 2x + y = 12
C.-7x- 5y = -48
D. 7x - 5y = 48​

Answers

Answer:

  C.  -7x- 5y = -48

Step-by-step explanation:

The vector AB is ...

  AB = B -A = (4, 4) -(-3, -1) = (4+3, 4+1) = (7, 5)

The dot-product of this vector and the one in the direction of the line through B will be 0:

  (7, 5)·(x -4, y -4) = 0

  7(x -4) +5(y -4) = 0

  7x +5y -48 = 0

Multiplying by -1 gives the form we see in answer choice C:

  -7x -5y = -48

will reward brainliest!
how many and what type of solutions does the equation have 17+3x^2=6x
A. no real solution
B. one real solution
C. two rational solutions
D. two irrational solutions

Answers

Option D: Two irrational solutions

Explanation:

The equation is [tex]17+3 x^{2}=6 x[/tex]

Subtracting 6x from both sides, we have,

[tex]3x^{2} -6x+17=0[/tex]

Solving the equation using quadratic formula,

[tex]x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}[/tex]

Simplifying the expression, we get,

[tex]\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}[/tex]

Taking out the common terms and simplifying, we have,

[tex]\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}[/tex]

Dividing by 3, we get,

[tex]x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}[/tex]

Hence, the equation has two irrational solutions.

Which statements are true about the area of a circle check all that apply

Answers

Answer:

The correct answer is Area = Pir2, The area formula can be found by breaking apart the circle and forming a parallelogram, and The area formula can be found by breaking apart the circle and forming a parallelogram. B,D,and E.

Step-by-step explanation:

Answer:

B, D, E

Step-by-step explanation:

Thats the correct answer bye

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzz help will give brainliest:):):)

Answers

Answer:

Step-by-step explanation:

diameter of plate=30+5=35 cm

circumference of cake board=2π r=π d=35 d cm

Answer:

35π cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ← d is the diameter

Here the diameter = 30 + 5 = 35 cm, thus

C = 35π cm

Which relationship describes angles 1 and 2?

Select each correct answer.


supplementary angles

adjacent angles

vertical angles

complementary angles

Answers

Answer:

it's supplementary angles

Step-by-step explanation:

1 + 2 =180

The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.


If m∠U is 33°, and m∠Z is 130°, what is m∠V?

Answers

Answer:

the answer is 97, I'll explain in the comments in a bit

^^

guy above me its right

Find the slope of a line that goes through (3,-9) and (5,-1)

Answers

The slope is 4. Remember the slope is the change in Y over the change in X.

Can anyone help me with theses problems?

Answers

A (-1,4)
B (7,-3)
C (-3,-1)
A is (-1,4)
B is (7,-3)
C is (-3,-1)

Which term completes the product so that it is the difference of squares?
| (-5x-3)(-5x+_
.
..
со со

Answers

Answer:

3

(-5x - 3)(-5x + 3)

Step-by-step explanation:

Difference of squares is a special type of factoring when you are subtracting two numbers that are perfect squares. Perfect squares are numbers that, when you find its square root, it is a whole number.

Difference of squares follows this rule:

a² - b² = (√a² - √b²)(√a² + √b²) = (a - b)(a + b)

Notice in the factored form, you take the same number in both brackets. In one set of brackets you add the numbers. In the other brackets, you subtract the numbers.

In (-5x - 3)(-5x + __), the blank in the second bracket will use the same number as the second number in the first brackets.

(-5x - 3)(-5x + 3)

an average Scott makes a basket 9 times out of 12 when he is practicing how many baskets can he expect to make when he tried 200.​

Answers

Answer:

150

Step-by-step explanation:

We know that Scott's ratio of making the basket is 9/12. All we need to do is find out how many baskets he'll make if he attempts 200 shots.

So, 9/12 needs to become x/200. We don't know what x is yet, but there's a shortcut.

9/12 can be simplified by dividing 3 on the top and bottom.

9/12 ÷ 3/3 = 3/4

We can then see how many times 4 can go into 200.

200/4 = 50

So, we multiply 3/4 by 50 on both the top and bottom.

3/4 × 50/50 = 150/200.

So, if he attempts 200 shots then he'll make 150 of them.

Final answer:

Scott can expect to make approximately 150 baskets if he attempts 200 shots with his success rate being 9 out of 12, which equates to a 75% success rate.

Explanation:

The question asks how many baskets Scott can expect to make if he tries 200 shots given that his average success rate is 9 out of 12. To find the answer, we can set up a proportion because Scott's shooting is a matter of probability and ratios. First, we determine Scott's success rate as a fraction: 9/12 which simplifies to 3/4 or a success rate of 75%.

Then, we apply this success rate to the new number of attempts (200) to find the expected number of successful baskets:

Expected number of baskets = Success rate x Total attemptsExpected number of baskets = (3/4) x 200Expected number of baskets = 150

Therefore, if Scott attempts 200 shots, he can expect to make approximately 150 baskets.

Is 24/40 4/5 a true proportion?

Answers

Answer:

no

Step-by-step explanation:

24 x 5 = 120

40 x 4= 160

what is the product of r^2 -3 and 2r

Answers

Answer:

- 6r³.

Step-by-step explanation:

Here, we have to find the product of r², - 3 and 2r.

Now, the product is, P = (r²)(- 3)(2r)

⇒ [tex]P = (- 3) \times (2) \times r^{2}\times r[/tex]

{Seperating each terms as the terms are in product form}

⇒  [tex]P = - 6 \times r^{2 + 1}[/tex]

{Using the property of exponent that [tex]x^{a}\times x^{b} = x^{a + b}[/tex]}

⇒ P = - 6r³ (Answer)

Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20\%20%20, percent more dishes than the previous menu. The previous menu had DDD dishes.
Which of the following expressions could represent how many dishes Crispy Clover's new menu has?

Answers

Question:

Crispy clover, a popular vegetarian restaurant, introduced a new menu that had 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes crispy clovers new menu has?

Answer:

The expression could represent how many dishes crispy clovers new menu has is:

[tex]D + \frac{1}{5}D \text{ or } 1.2D[/tex]

Solution:

Given that,

The new menu had 20% more dishes than the previous menu

The previous menu had D dishes

Therefore,

Previous menu = D dishes

New menu = 20 % more dishes than previous menu

Which means,

New menu = 20 % of previous menu + previous menu

Therefore,

New menu = 20 % of D + D

Solve the above equation

[tex]New\ menu = 20 \% \times D + D\\\\New\ menu = \frac{20}{100} \times D + D\\\\New\ menu = 0.2 \times D + D\\\\New\ menu = 0.2D + D = \frac{D}{5} + D = 1.2D[/tex]

Therefore, new menu has 1.2D dishes

Melissa sells her art online for $49.50 per print. How many prints must she sell next month if she wants to earn at least $2000?

Answers

Answer:

41

Step-by-step explanation:

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.  40 prints must she sell next month if she wants to earn at least $2000

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Melissa sells her art online for $49.50 per print.

We need to find how many prints she has to sell to earn atleast $2000.

Let us consider x be the number of prints.

Let us form proportional equation

Forty nine point five zero by one equal tp two thousand by x.

49.50/1=2000/x

Apply cross multiplication

49.50x=2000

Forty nine point five zero times of x equal to two thousand.

Divide both sides by 49.50

x=40.40

Hence 40 prints must she sell next month if she wants to earn at least $2000

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A musicians hair was originally 11 2/3 inches long. She asked her hair dresser to cut off 5/8 of it off. How many inches did she have cut off?

Answers

Answer:

Step-by-step explanation:87

87

How much simple interest will be charged on a 40,000 loan with a 7% interest rate that is paid back in 4 years?

Answers

Answer:$11200

Step-by-step explanation:

I = prt

I = 40,000( .07)(4)

I = $11200

how do you solve a quadratic function using x^2+bx+c?

Answers

Answer:

Check the attachment, then plug in values as needed

Step-by-step explanation:

What is the answer
9:3 :: 49 :

Answers

Final answer:

To solve this ratio problem, we need to determine the relationship between the given numbers and apply it to find the answer.

Explanation:

The given expression is:

9:3 :: 49 :

To solve this, we need to determine the relationship between 9 and 3, and then apply the same relationship to 49.

The symbol '::' represents the ratio or proportion between the numbers before and after it.

9 divided by 3 is equal to 3, so the relationship here is that the first number is three times the second number.

Now, let's apply the same relationship to 49:

49 divided by 3 is equal to 16.33, so we can say that the answer is 16.33.

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The final answer is 9 : 3 :: 49 : 16.33.

Here's a step-by-step solution:

We need to find the missing number such that the ratios are equivalent. This can be written as a proportion: 9/3 = 49/x.First, simplify the left side: 9/3 = 3.So, we have: 3 = 49/x.Next, solve for x by multiplying both sides by x: 3x = 49.Finally, divide both sides by 3 to isolate x: x = 49/3.Therefore, x = 16.33 (rounded to two decimal places).

The answer to the question is therefore 49 : 16.33.

The diagram shows a sketch of John's yard. He wants to plant grass, so he must calculate the area of the yard. The distance from A to B is 200 feet; the distance from C to D is 260 feet, and the straight line distance between AB and DC is 220 feet. The area of the yard is
A) 5,720,000 square feet
B) 25,300 square feet
C) 50,600 square feet
D) 57,200 square feet

Answers

The area of the yard is 50,600 square feet.

Option: C.

Step-by-step explanation:

The given information forms a trapezoid.

The AB is the upper base (a) and its length is 200 feet.

The CD is the lower base (b) and its length is 260 feet.

A straight line distance from AB and CD is the height (h) and its measures as 220 feet.

The area of trapezoid A= [tex]\frac{a+b}{2} (h)[/tex].

A= [tex]\frac{200+260}{2} (220)[/tex].

=[tex]\frac{460}{2}(220)[/tex].

=230(220).

=50600 [tex]ft^2.[/tex]

Thus the area of John's yard is 50,600 square feet.

Layla is walking in a rectangular park. She walks one side that is 50 yards and then the other
side that is 120 yards. Layla develops a cramp in her leg and walks diagonally through the park
to head back home. What is the total distance that layla walked? (HINT: Final answer is
perimeter of the triangle park)
120 yd.
PARK
PARK
50 vd
Oak St
1
Park Rd

Answers

Total distance walked by Layla is 300 yards

Solution:

Given that,

Layla is walking in a rectangular park

She walks one side that is 50 yards and then the other  side that is 120 yards

Length = 120 yards

Width = 50 yards

Layla develops a cramp in her leg and walks diagonally through the park  to head back home

Let us find the length of diagonal of rectangle

[tex]d=\sqrt{w^2+l^2}[/tex]

[tex]d = \sqrt{50^2+120^2}\\\\d = \sqrt{2500+14400}\\\\d = \sqrt{16900}\\\\d = 130[/tex]

Thus length of diagonal is 130 yards

What is the total distance that layla walked?

Given that Final answer is  perimeter of the triangle park

The diagonal and length and width forms a right angle triangle

Perimeter of triangle = diagonal length + width + length

Perimeter of triangle = 130 + 50 + 120 = 300

Thus total distance walked by Layla is 300 yards

Final answer:

The total distance Layla walked, including the two sides of the park and the diagonal path, is calculated using the Pythagorean theorem to be 300 yards.

Explanation:

The question asks us to find the total distance Layla walked while going through the rectangular park diagonally. Layla first walks one side of the park which is 50 yards long and then the adjoining side which is 120 yards long. To do this, we will first find the length of the diagonal using the Pythagorean theorem and then add it to the sum of the two sides she walked to get the total distance. The Pythagorean theorem states that in a right-angled triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as c2 = a2 + b2.

Applying the Pythagorean theorem to find the diagonal (hypotenuse):

Let a = 50 yards (length of the first side)Let b = 120 yards (length of the second side)c2 = a2 + b2 = 502 + 1202c2 = 2500 + 14400c2 = 16900c = √16900 = 130 yards (length of the diagonal)

Now, we can find the total distance Layla walked:

Distance along the first side = 50 yardsDistance along the second side = 120 yardsDistance diagonally across the park = 130 yardsTotal distance = 50 yards + 120 yards + 130 yardsTotal distance = 300 yards

Therefore, the total distance Layla walked is 300 yards.

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What is 3 divided by 1773

Answers

It equals 0.00169204737

The answer is 591 to the problem.

Which expression means 9.7 split into a certain number of equal parts?
9.7n
9.7 + n
9.7 minus n
StartFraction 9.7 over n EndFraction

Answers

Answer:

Option D

Step-by-step explanation:

Just took the quiz :)

Answer:

it is the last answer

Step-by-step explanation:

evaluate the expression 3(x-1)2nd power +2x-7 for x=3
What is the first step for evaluating this expression?
Substitute 3 for X
distribute the 3
combine like terms

Answers

Answer:

11

3Step-by-step explanation:

Given

3(x - 1)² + 2x - 7 ← substitute x = 3 into the expression

= 3(3 - 1)² + 2(3) - 7

= 3(2)² + 6 - 7

= 3(4) - 1

= 12 - 1

= 11

The first step in evaluating the expression is to substitute 3 for x.

The first step in evaluating the expression 3(x-1)^2 + 2x - 7 for x=3 is to substitute 3 for x. This is because before you can simplify or combine like terms, you need to know the value of the variables involved. Once substitution is done, you can proceed with further simplification such as distributing and combining like terms.

An angle with a measure of 36(degrees)would be classified as which type of angle?

Answers

Answer:

An acute Angle

Step-by-step explanation:

Any Angle that is from 1 to 89 degrees is considered an acute Angle.

What is the approximate value of ? Round your answer to the nearest hundredth. 1.25 3.00 3.75 4.25

Answers

Option C:

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}=3.75[/tex]

Solution:

Given expression:

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex]

Summation means sum of the numbers.

Put n = 1  to 5 and sum all the numbers.

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex]

           [tex]=3(0.2)^{1-1}+3(0.2)^{2-1}+3(0.2)^{3-1}+3(0.2)^{4-1}+3(0.2)^{5-1}[/tex]

           [tex]=3(0.2)^{0}+3(0.2)^{1}+3(0.2)^{2}+3(0.2)^{3}+3(0.2)^{4}[/tex]

Using exponential rule: [tex]a^0=1[/tex], so that [tex]0.2^0=1[/tex]

           [tex]=3(1)+0.6+0.12+0.024+0.0048[/tex]

           [tex]=3.7488[/tex]

           = 3.75

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}=3.75[/tex]

Option C is the correct answer.

Hence approximate value of [tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex] is 3.75.

Answer:

C

Step-by-step explanation:

edge

Write an equation for the nth term of the geometric sequences. Then Find a6


A. 2, 8, 32, 128, ...

B. 0.6, -3, 15, -75, ...

C. -1/8, -1/4, -1/2, -1, ...

D. 0.1, 0.9, 8.1, 72.9, ...

Answers

Answer: The nth term of a geometric progression is Tn = ar^(n-1)

A. 12

B. 3.6

C. -3/4

D. 0.6

Step-by-step explanation:

The nth term of a geometric progression is Tn = ar^(n-1)

Where Tn= nth term

a = first term

r = common ratio

n = number

A. a6 = (2*6) = 12

B. a6 = (0.6*6) = 3.6

C. a6 = (-1/8*6) = -3/4

D. a6 = (0.1*6) = 0.6

is y-4=2(x-2) and 4x-2y=5 perpendicular

Answers

Answer:

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

Step-by-step explanation:

Given:

[tex]y-4=2(x-2)=2x=-4\\\\y=2x[/tex] .......Equation ( 1 )

[tex]4x-2y=5\\2y=4x-5\\\\y=2x-\dfrac{5}{2}[/tex]  .......Equation ( 2 )

Comparing with,  

[tex]y=mx+c[/tex] ......General Slope point form  

Where m =slope  

We get  

[tex]Slope = m1 = 2[/tex]   For Equation ( 1 )

[tex]Slope = m2 = 2[/tex]   For Equation ( 2 )

Hence,

[tex]m1=m2[=2[/tex]

Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.

For Perpendicular we require

[tex]m1\times m2=-1[/tex]

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

write an algebraic expression for the following: the product of 5 and the sum of 9 and y. if y = 3 what’s the value of the expression

Answers

Answer:

60

Step-by-step explanation:

5 x (9 + y)

= 5 x ( 9 + 3)

= 5 x (12)

=60

Final answer:

The algebraic expression is 5(9 + y), which becomes 5(12) when y equals 3, resulting in a value of 60.

Explanation:

The algebraic expression for the product of 5 and the sum of 9 and y is 5(9 + y). To find the value of this expression when y equals 3, you substitute 3 for y in the expression, getting 5(9 + 3). Following the order of operations, calculate the sum inside the parentheses first, which gives you 5(12), and then multiply by 5 to find the product, resulting in a final value of 60.

Koby's solution for 4(x - 3) = x + 2 is shown at the
right. Did he solve the equation correctly? Explain why
or why not.
4(x - 3) = 3x +2
4x - 12 = 1/x + 2
2. (4X – 12) = 2 · ( 3x + 2
8x - 12 = x + 2
8x = x + 14
7x = 14
x
=2

Answers

Koby did not solve the equation correctly. The correct solution for 4(x - 3) = x + 2 is x = 14/3 or approximately 4.667. The steps include distribution, combining like terms, and isolating the variable.

The student's solution contains errors in the algebraic process. The correct steps to solve the original equation 4(x - 3) = x + 2 are as follows:

Distribute the 4 into the parentheses: 4x - 12 = x + 2.

Subtract x from both sides to get all the x terms on one side: 4x - x - 12 = 2.

Simplify the equation: 3x - 12 = 2.

Add 12 to both sides to isolate the variable term: 3x = 14.

Divide both sides by 3 to solve for x: x = 14/3.

The correct solution is x = 14/3 or approximately 4.667, not x = 2 as Koby had. To check the solution, you substitute the value back into the original equation:

4(14/3 - 3) = 14/3 + 2

which simplifies to:

56/3 - 12 = 14/3 + 2

and further to:

56/3 - 36/3 = 14/3 + 6/3

resulting in an identity:

20/3 = 20/3.

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