Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did you have initially? Write and solve an inequality that represents this situation.

A.
d+12 51; d 75

B.
d + 12 51; d 75

C.
d-12 51; d 63

D.
d-12 > 51; d > 63

Answers

Answer 1
Initial amount =  d  dollars
Amount spent = $12

Because the amount left is at least $51, therefore
d - 12 ≥ 51
Add 12 to each side.
d ≥ 51 + 12
d ≥ 63

Note: The amount left is at least $51. Therefore the amount left should be $51, or greater than $51.

Answer:
d - 12 ≥ 51
d ≥ 63


Related Questions

Maths question below please help

Answers

AB and CD
İ hope it helped
AB AND CD!! Hope this helps

1. y and x have a proportional relationship, and y = 7 when x = 2. What is the value of x when y = 21?


2. y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y when x = 3?


3.he table shows a proportional relationship.




x y

2 2.8

4 5.6

6 8.4

8 11.2

Complete the equation that represents the table.


Enter your answer as a decimal in the box. y = ____x

Answers

Attached solutions with steps.

Answer: 6

Step-by-step explanation:

The graph of g(x) is f(x) translated to the left 8 units and up 2 units. What is the function rule for g(x) given f(x) = x²?

Answers

Translation of a function y = h(x) to the right/left is given by y = h(x + a)  for translation to the left by 'a' units and y = h(x - a) for translation to the right by 'a' units

Translation of a function y = h(x) up/down the y-axis is given by y = h(x) + a for translation 'a' unit up and y = h(x) - a for translation 'a' unit down

So, translating f(x) = x² eight units right and two units up gives:

g(x) = (x-8)² + 2

Which proportion could be used to solve the question?
What percent of 80 is 23?

A. p/23 = 80/100
B. p/80 = 23/100
C. p/100 = 23/80
D. none could be used

Answers


C. can be used to solve it

other way is: p/100 *80 = 23
0.8p = 23
p = 23/0.8 = 28.75

what is 5 divided by 9374

Answers

0.00053339 hope this helps!!

4/3 of a number is 20. What is the number?

Answers

Set up an algebraic equation:

[tex] \frac{4x}{3} = 20[/tex]

Now solve:

[tex]4x = 60[/tex]
[tex]x = 15[/tex]

Hope this helps!

Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.
Which statement about the rainfall is true?

More rain fell two months ago than last month.

About the same amount of rain fell two months ago as last month.

Last month, the amount of rain that fell each day varied about the same as the month before.

Last month, the amount of rain that fell each day varied less than the month before.

Answers

Answer:

C

Step-by-step explanation:

Final answer:

Last month, more rain fell compared to two months ago, and there was less variation in the daily rainfall.

Explanation:

To determine whether more rain fell two months ago or last month, we need to compare the mean daily rainfall and the mean absolute deviation for both months. Two months ago, the mean daily rainfall was 9.4 cm with a mean absolute deviation of 3.5 cm. Last month, the mean daily rainfall was 11.5 cm with a mean absolute deviation of 1.6 cm.

Thus, based on this information, we can conclude that more rain fell last month. The mean daily rainfall was higher and the mean absolute deviation was lower. This indicates that there was less variation in the amount of rain that fell each day last month compared to two months ago.

Identify the values of a b and c in the quadratic function y = 3x -5x +2

Answers

B is -5 and C is 2  use the formula ax^2+bx+c.

PLEASE HELP!!!!!!!!!
solve for x
-2(x+1/3)+9x=4
x=

Answers

-2(x+1/3)+9x=4
-2x - 2/3 + 9x =4
7x - 2/3 = 4 
7x = 4 + 2/3
7x = 14/3
/7      /7
x = 2/3

what is the common ration between successive term in the sequance? 2,-4,8,-16,32,-64

Answers

multiplicity of -2 is your answer

hope this helps

What is the mixed number for -10.125


Write in simplest form please!

Answers

-10 1/8

Hope this helps!
-10.125

the -10 is ur whole number...it stays ur whole number
the 0.125....the last digit (5) is in the thousandths place...so put it over 1000

-10 125/1000 reduces to -10 1/8 <==

Diameters AB and CD of circle K intersect such that m∠BKD = 100°. The measure of arc AC is:

Answers

The diameters intersect at the center of the circle
m<BKD = 100
<AKC is vertical to <BKD, so m<AKC = 100
An arc has the same measure as its central angle,
so m(arc)AC = 100

Answer:

Measure of arc AC = 100°

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

Given : AB and CD are the diameters of the circle K and m∠BKD = 100°

To find : measure of arc AC

Solution :

The angle which is formed by the arc AC is m∠AKC so we need to find the measure of the angle ∠AKC

Now, m∠BKD = 100°

and m∠BKD = m∠AKC ( Vertically opposite angles are always equal)

⇒ m∠AKC = 100°

Hence, Measure of the arc AC = 100°

What is the playing surface called where the college basketball semi- finals are played

Answers

I think it is called the final(e) floor. I'm not exactly sure tho...
Final answer:

The playing surface where the college basketball semi-finals are played is called the court. It is rectangular in shape and has various markings such as the three-point line and free-throw line.

Explanation:

The playing surface where the college basketball semi-finals are played is called the court or the basketball court. The court is rectangular in shape with a length of 94 feet and a width of 50 feet. It is divided into two halves with a midcourt line and has markings such as the three-point line, free-throw line, and key.

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Solve for y 3x-4y=10

Answers

3x-4y=10

or,4y=3x-10
or,y=(3x-10)/4

so,y=3/4 x-5/2

Gina bought 2.3 pounds of red apples and 2.42 ponds of green apples. They were on sale for 0.75 a pound. How much did the apples cost altogether?

Answers

ummmmmmmmmmm $3.45 or $3.50 <<<<(only if u need to round)

I WILL MARK BRAINLIEST ANSWER
What is the equation of the following graph in vertex form?

y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2
y = (x − 4)2 + 8

Answers

The answer would be, y = (x − 4)2 − 2.

Answer:

y = (x + 3)2 − 1

:)

What is the solution of the system? Use the elimination method. 2x+y=206x−5y=12 Enter your answer in the boxes.

Answers

Answer:

The answer to your question is:   x = 7; y = 6

Step-by-step explanation:

                                             2x+y=20             ( 1 )  Multiply by 5

                                             6x−5y=12            ( 2 )

                               5 (2x+y=20)    = 10x + 5y = 100

                                          10x + 5y = 100

                                            6x − 5y =   12             Eliminate y

                                          16 x        = 112

                                           x = 112 / 16

                                           x = 7

                                 2(7) + y = 20                 Substitution

                                 14 + y = 20

                                 y = 20 - 14

                                 y = 6

This year, the parade had 127 floats. That was 34 fewer floats than last year. How many floats were in te parade last year ?

Answers

The question already told you that this year has 127 floats, but that is 34 less than last year. 

This means that there were 127 + 34 floats last year which is 161 floats.

Hope this helps!

-Jabba

Answer:

Last year were 161 floats, that is, 34 more than this year.

Step-by-step explanation:

Givens

There are 127 floats this year.That represents 34 fewer floats than last year.

The second given statement expresses that this year there are 34 LESS floats. So, to know how many floats were there last year, we just need to sum

[tex]127+34=161[/tex]

Therefore, last year were 161 floats, that is, 34 more than this year.

At a discount grocery store, Jessica paid 0.72 for an 8-ounce bottle of spring water. What is the cost of the spring water per ounce?

Answers

Hey there!

The cost of the spring water per ounce is .09.
How?
You just divide. .72/8= .09

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session.if Allison already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal ?

Answers

She would need 7 sessions to practice to reach 12 minutes and 15 minutes of practice.

write an equation for the line that passes through (2,-5) and is parallel to 3x+4y=8

Answers

3x+4y=8
4y = -3x + 8; slope = -3
parallel lines, slope is the same so slope = -3
passes through (2,-5) 
y  = mx + b
b = y - mx
b = -5 - (-3)(2)
b = -5 + 6
b = 1

equation
y = -3x +1

hope it helps
Final answer:

The equation of the line which is parallel to the line 3x+4y=8 and passes through the point (2,-5) is y = -3/4x - 1/2.

Explanation:

The given equation is 3x+4y=8, which is a linear equation. To make this simpler, we can isolate 'y' to make it in the form 'y = mx + b', where 'm' is the slope. When we do this, we get y = -3/4x + 2, so the slope of this line is -3/4.

Next, we know that parallel lines have the same slope. Therefore, the equation of the line parallel to the given line and passing through (2, -5) will also have a slope of -3/4. Using the point-slope form of a line, which is y – y1 = m(x – x1), where (x1, y1) is a point on the line, and 'm' is the slope, we can substitute the given values.

Therefore, y - (-5) = -3/4(x - 2), simplifying this gives us the equation of our line: y = -3/4x - 1/2.

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What has a greater area, a square or an equilateral triangle?

Answers

If the square and equilateral triangle have the same side length, a square would have a larger area.
Use these are equations and you can see which one is greater.
Square area with side length s: s^2
Equilateral triangle area: s^2 * (√3 ) / 4
(√3) / 4 < 1, if you didn't know

I hope this helps. Have an awesome day! :)

the image from reflecting a figure in the third quadrant over the x-axis

Answers

When an object that is in the third quadrant is refrected over the x-axis, the image is in the 2nd quadrant.

Therefore, the image from refrecting a figure in the third quadrant over the x-axis is in the second quadrant.

The product of two consecutive even integers is 80. find all such pairs of integers

Answers

The possible pairs that fulfil the statement → "The product of two consecutive even integers is 80" are -

(8, 10)

(- 10, - 8)

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given product of two consecutive even integers is 80.

Assume that the first integer is [n]. Then the second integer will be [n + 2]. According to the question, we can write -

n x (n + 2) = 80

n² + 2n = 80

n² + 2n - 80 = 0

n² + 10n - 8n - 80 = 0

n(n + 10) - 8(n + 10)

(n - 8)(n + 10) = 0

n = 8  and n = - 10

If → n = 8 then (n + 2) = 10.

If → n = - 10 then (n + 2) = -8.

Therefore, the possible pairs that fulfil the statement → "The product of two consecutive even integers is 80" are -

(8, 10)

(- 10, - 8)

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Final answer:

The consecutive even integers whose product is 80 are 8 and 10. This is found by setting up an equation for consecutive even integers and factoring the number 80.

Explanation:

The question is asking to find two consecutive even integers whose product is 80. When two numbers are consecutive even integers, they can be represented as n and n + 2, where n is an even integer. To find these numbers, we set up the equation n(n + 2) = 80.

First, we need to find two numbers that multiply to give 80. We can start by listing the factors of 80: 1 x 80, 2 x 40, 4 x 20, 5 x 16, 8 x 10. Since we are looking for even integers, we pick the pairs where both numbers are even: 4 x 20, 8 x 10. However, the numbers must also be consecutive even integers, which is the case for the pair 8 and 10, but not for 4 and 20.

Therefore, the pair of consecutive even integers that multiply to give 80 are 8 and 10.

Find y'' by implicit differentiation .4x3 + 5y3 = 9

Answers

The equation is [tex]4x^3+5y^3=9[/tex].

Differentiating with respect to x, we have

                                  [tex]12x^2+5(3y^2)(y')=0[/tex], 
that is
                                            
                                  [tex]12x^2+15y^2y'=0[/tex].

This means that [tex]\displaystyle{y'= -\frac{12x^2}{15y^2}=- \frac{4x^2}{5y^2} [/tex]

Differentiating again, using the quotient rule for the right hand side expression:

[tex]\displaystyle{y''=- \frac{4}{5}\cdot \frac{2xy^2-2yy'x^2}{y^4}= \frac{-8xy^2+8yy'x^2}{5y^4} [/tex]

y'' by implicit differentiation is y'' = -16x/5y^3.

To find y'' by implicit differentiation, we need to differentiate both sides of the equation .4x3 + 5y3 = 9 twice with respect to x.

First, we differentiate both sides once with respect to x to find dy/dx. This gives us:

12x^2 + 15y^2 (dy/dx) = 0

Next, we differentiate both sides once again with respect to x to find d^2y/dx^2 (y''). This gives us:

24x + 30y^2 (dy/dx) + 15y^2 (d^2y/dx^2) = 0

We can now solve for d^2y/dx^2 (y'') by substituting dy/dx from the first equation into the second equation. This gives us:

24x + 30y^2 (-12x^2/15y^2) + 15y^2 (d^2y/dx^2) = 0

Simplifying this equation, we get:

d^2y/dx^2 = -16x/5y^3

Therefore, y'' = -16x/5y^3.

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What is the length of the hypotenuse of 385.7 and 321.84?

Answers

I suppose the two given numbers are the length of the two legs.
Pythagorean theorem: 385.7^2 + 321.84^2=hypotenuse^2
hypotenuse=502.34

I’ll mark brainliest!!!!!! Please help me someone, anyone

What is the value of x ?

Answers

I am pretty sure x equals 98

Colby worked three more hours on tuesday than he did on monday. on wednesday, he worked one hour more than twice the number of hours that he worked on monday. if the total number of hours is two more than five times the number of hours worked on monday, how many hours did he work on monday>

Answers

Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday) 
This side of the equation would be - 
X + (X +3) + (2X + 1) 
That's monday plus tuesday plus wednesday. 
Then you would set up the other side of the equation. 
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined. 
2 + (5x) 
Two hours more than five times the amount of Monday (X) 

Now we put this together to have an equation 
X + (X + 3) + (2x+ 1) = 2 + 5x 
Now we need to collect like terms
4x + 4 = 2 + 5x 
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side 
4 = 2 + x 
Now I subtract 2 to get the numbers both on one side
2 = x 
So, Colby worked 2 hours on Monday.

Answer:

a,b,c

Step-by-step explanation:

i guessed and then they told me the right answer .

A conjecture and the paragraph proof used to prove the conjecture are shown.
Drag an expression or statement to each box to complete the proof.

It is given that ∠1≅ ∠4 ​. By the vertical angle theorem, [blank] ≅∠1 . Therefore, ∠2≅∠4 by the substitution property. By the [blank] , ∠4≅∠3 . So, ∠2≅[blank] by the [blank]

choices:
verticle angle theorim, transitive property of congruence, ∠4, ∠3, ∠2, ∠1

Answers

Answer:

∠2; vertical angle theorem; ∠3; transitive property of congruence

Step-by-step explanation:

∠2 and ∠1 are opposite angles that share only a vertex.  This is the definition of vertical angles, and by the vertical angle theorem they are congruent.

Substituting ∠2 for ∠1 in our "given" statement, we now know that ∠2≅∠4.

∠4 and ∠3 are opposite angles that share a vertex.  This makes them vertical angles, and the vertical angle theorem states that they are congruent.

The transitive property, algebraically, states "if a=b and b=c, then a=c."  Applied to this proof, it states "if ∠2≅∠4, and ∠4≅∠3, then ∠2≅∠3."

The required solution for the blacks,
Blank 1 = ∠2;
Blank 2 =  vertical angle theorem;
Blank 3 = ∠3; the transitive property of congruence.

It is given that
∠1≅ ∠4 ​. By the vertical angle theorem, [blank] ≅∠1 . Therefore, ∠2≅∠4 by the substitution property. By the [blank] , ∠4≅∠3 . So, ∠2≅[blank] by the [blank].
To determine the missing statement at the place of blanks in the statement.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Since
Black 1
∠2≅∠4
and  ∠1≅ ∠4

So ∠2 ≅ ∠1

Blank 2
∠2≅∠4 are equal by the vertical angle theorem.

Blank 3
∠4≅∠3
∠3 ≅∠1
So,
∠2 ≅ ∠1 ; ∠2≅∠3 and ∠4≅∠3  it is transitive property of congruence.

Thus, the required solution for the blacks,
Blank 1 = ∠2;
Blank 2 =  vertical angle theorem;
Blank 3 = ∠3; the transitive property of congruence.

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A baker sells bread for $5 a loaf and rolls for $1 each. The baker needs to sell $35 worth of baked goods by the end of the day. Enter a linear equation that describes the problem.

Answers

Explanation:

Cost of 1 loaf of bread = $5

Cost of 1 roll = $1

The baker needs to sell both items and it should be worth $35.

To find the linear equation, Suppose, the baker sells “b” loaves of bread and “r” rolls.

Then the total cost of the sales has to be $35.

So, the linear equation will be:

5b + 1r = 35

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