At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error?

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the inequality solved by H=Jamie expressed as:

500 − 30x ≥ 200

We need to calculate the range of x of the inequality to determine the number of weeks she can spend $30 as shown:

500 − 30x ≥ 200

Subtract 500 from both sides

500 − 30x - 500≥ 200 - 500

− 30x ≥ -300

Divide both sides by -30

− 30x/-30 ≥ -300/-30

x ≤ 10 (note that the inequality sign changes after dividing both sides by a negative sign)

Jamie's error was that she didn't change the sense of inequality after dividing both sides by -30 hence rendering her solution incorrect

Hence the number of weeks is less than or equal to 10.

Answer 2

Answer:

Answer is B

Step-by-step explanation:

Jamie should have reversed the inequality when using the division property of inequality. is the right answer hope it helps


Related Questions

An is a mathematical statement that shows two expressions are equal using an equal sign.

Answers

No! Because a mathematical statement is actually a statement that is either true or false not a statement that shows two expressions are equal using an equal sign!

Answer:

fix the awser

Step-by-step explanation:

5+4(8n-8)=-1+6 for n​

Answers

Answer:

n=1

Step-by-step explanation:

5+4(8n-8)=-1+6

5+32n-32=5

5+32n-32=5

-27+32n=5

32n=32

n=1

Answer:

n = 1

Step-by-step explanation:

5 + 4(8n - 8) = -1 + 6

First you have to distribute the 4 leaving the equation to look like this...

5 + 32n - 32 = -1 + 6

Now solve the constants (normal numbers without a variable)

-27 +32n = 5

+27            +27  You have to add 27 to BOTH sides

32n = 32

n = 1

Hope this helps and have a great day!

Help ASAP ‼️If m∠A=5x-12 m∠B=2x+18 ∠A and ∠C are supplementary and ∠B and ∠C are supplementary, find x.

Answers

Hope this helps ! Work and everything is shown

Scott wrote the number 39 on the board and said that it was a prime
number because it was an odd number. Is he correct? Explain why
or why not.

Answers

He was not correct because 39 is divisible by 3. Just because a number is odd does not mean it is prime.

how many loonies are in 1 quarter

Answers

there are 25 loonies in 1 quarter

25 loonies i think but im not so sure

What Is the slope of the line on the graph?

Answers

Answer:

the answer is 4x 5y -5x -4y

Step-by-step explanation:

Max has 3 textbooks and 2
notebooks in his backpack. The total
weight of his backpack and its
content is 10,5 pounds. Each
textbook weighs 2.5 pounds. Each
notebook weighs 0.25 pound. What
is the weight of Max's empty
backpack?

Answers

Answer:

2 pounds

Step-by-step explanation:

3 • 2.5= 7.5
2•.25=.5
7.5+.5=8
10.5-8=2.5
Max’s empty backpack weighs 2.5 pounds

S =4LW + 2WH; S = 96, L= 7, W= 3.
H=

Help please

Answers

Answer:

H = 2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

S = 4LW + 2WH

S = 96

L = 7

W = 3

Step 2: Substitute and Evaluate for H

96 = 4(7)(3) + 2(3)H

96 = 84 + 6H

12 = 6H

H = 2

Answer:

H = = 2 H W + 4 L W

Step-by-step explanation:

Substitute the given value into the function and evaluate.

S = 4 L W + 2 W H = = 2 H W + 4 L W

S = 96 = = 2 H W + 4 L W

L = 7 = = 2 H W + 4 L W

W = 3 = = 2 H W + 4 L W

H = = 2 H W + 4 L W

I hope this helps!

Please Mark Brainliest

Sorry If I Overcomplicated it!

If the 16 boys in the classroom are 40% of the class how many students re there in class

Answers

Answer: 40 students

Step-by-step explanation: All we need to do is do 16/40 to get 0.4 or 40%. So 100% = 40.

pleaseee help me solve this ​

Answers

hello! here is your answer

Answer:

1) ∠2 ≅ ∠7

⇒ they are corresponding angles

2) ∠5 ≅ ∠9

⇒ they are alternate interior angles

3) ∠4 ≅ ∠7

⇒ they are vertically opposite angles

4) if ∠3 ≅ ∠8, then p║q

⇒ they are corresponding angles

5) ∠3 ≅ ∠9

⇒ they are vertically opposite angles

6) m∠2 + m∠3 = 180

⇒ they are co-interior angles

7) ∠4 is vertical to ∠7

8) ∠2 and∠3 are same side interior angles

9) ∠5 corresponds to ∠8

10) one alternate exterior pair is ∠1 and ∠8

hope it helps you!!

During the summer Frank earned $60 less than three times as much as his brother Fred. Together they earned $1220. How much did they each earn?

Answers

Answer:

320, 900

Step-by-step explanation:

which expressions are equivalent to -56z+28?
choose 2 correct answers:
a: 1/2 x (28z + 14)
b: (-1.4z + 0.7) x 40
c: (14 -7z) x (-4)
d: (8z - 4) (-7)
e: -2(-28z -14)

Answers

Answer:

e

Step-by-step explanation:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords

If m∠1 = 123°, m∠5=123

Answers

what’s the question...

Answer:

Ayo dood whats the ?

Step-by-step explanation:

2p + 3 = 5 - 6p
what is the value of p in the equation?

Answers

Answer:

p=1/4

Step-by-step explanation:

original: 2p+3=5-6p

move variable to one side: 2p+6p=5-3

combine like terms: 8p=2

answer :p=2/8

simplify answer (final answer): p=1/4

2p+3=5-6p

2p+6p+3=5

2p+6p=5-3

8p=5-3

8p=2

Answer: p=1/4

What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents

Answers

Answer:

[tex](-4)^{3[/tex]*[tex]y^{2}[/tex]

This should be right.

Can someone please help me

Answers

I think it’s 3 good luck

Answer:i think 8

Step-by-step explanation:

Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.

NEED HELP ASAP!! convert 287 cm to inches

Answers

287 centimeters is 112.992 inches

Answer:

112.992

Step-by-step explanation:

divide the length value by 2.54.

Please help with this question, thank you.

Answers

Answer:

the conclusion is that AC and CB are equal distances because the midpoint is half of the line. hope this helps:)


An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?

Answers

Answer:

50 gallons

Step-by-step explanation:

50 gallons! Hope this helps let

what is the measure of <4?

Answers

Answer:

i not sure but  i think its 125

Step-by-step explanation

60% sure is 125

help me asp and explain please

Answers

Okay so, to get C you add the ones inside the triangle together.

42+58=100 Then the last angle will be 80, because when you add the three inside the triangle, you should get 180

42+58+80=180

To get D, you have to subtract 180 and 58, because 58+d will be a straight angle.

180-58=121

To get B and A, you would also have another straight angle (c, b, and a)

180-80=100

I believe that B=A, so, with the remaining 100, both A and B equal 50.

50+50+80=180

Does this help??

Answer:

a° = 58°

b = 42°

c° = 80°

d° = 122°

Step-by-step explanation:

d° can be found because a straight line has an angle of 180°.

180° - 58° = 122°

Because the angles of a triangle add up to 180°, we can find c°

58° + 42° = 100°. 180° - 100° = 80°

You can find a° subtracting 180 and d°, which is 122. 180° - 122° = 58°

You can do the same thing for b°. 180° - 42° = 138°. 180° - 138° = 42°

You can check this because b° + c° + a° should equal 180°.

58° + 42° + 80° = 180°

I hope this helps :)

2 COLLUM PROOFS 1 question

Answers

Answer:

1. <AOB and <XOZ are vert. <'s           1. Given

   m<AOB = 80     m<XOZ = 6x+5

2. m<AOB = m<XOZ                            2. Vertical <'s are congruent

3. 80 = 6x+5                                       3. Substitution

4. 75 = 6x                                              4. Subtraction Property of equality

5. 12.5 = x                                              5. Division Property of equality    

Step-by-step explanation:

The track star runs 100m at a rate of 10.4m/s. How long did it take to run 100m?
0.1 m/s
9.65
1040m/s
0.1s

Answers

Answer:

Time, t = 9.615 secs.

Explanation:

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the equation;

[tex]Speed = \frac{distance}{time}[/tex] ....equation 1

[tex]Time = \frac{distance}{speed}[/tex] .....equation 2

Given the following data;

Distance = 100m

Speed = 10.4m/s

Substituting into equation 2;

[tex]Time = \frac{100}{10.4}[/tex]

Time, t = 9.615 secs.

pls help now
A person is trying to find the height of a flagpole or AB. This person is 1.5 m tall and is
standing at DC. A mirror is placed at point M. This mirror is 6 m away from the person and 120 m away from the flagpole. Angles BMA and DMC are congruent. Find the height of the flagpole or BA.

Answers

Answer:

30 m. Your welcome

Step-by-step explanation:

Answer:

30m tall

Step-by-step explanation:

1.5/6 = x/120

Switch sides; cross multiply:

x/120 = 1.5/6

Multiply both sides by 10 and simplify:

x/12 = 5/2

Multiply both side by 12 and get 30m

Triangles ABC and DBC have the following characteristics:



BC is a side of both triangles

∠ACB and ∠DCB are right angles

AC ≅ DC

Which congruence theorem can be used to prove △ABC ≅ △DBC?

AAS
SSS
HL
SAS

Answers

I think it wil be SSS or HL theorem

first person to answer gets brainllest A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?

Answers

Answer:

Perimeter of the hexagon is 36 units

Step-by-step explanation:

if the length is ten using the information provided you  will get a perimeter of 36 for both

Answer:

36

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Ricky and James sold beef for a school fundraiser. Ricky sold 52 pounds and James sold 21 pounds. If their total combined sales were $1,168, how much does each pound of beef cost?

A. 16.00
B. 17.50
C. 13.50
D. 17.00

Answers

The answer would be A bc you add 52+21 which = 73 and then divide the $1,168 by 73 which = 16

Answer please. For money.

Answers

x = 21.75 (third option)

lol i accidentally added a comment sorry

Fiften is 30 percent of what number?

Answers

Answer:

50

hope it helps

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The way you solve this is by creating an inequality of

30          15

----     =   ----

100          x

So you cross multiply which would give you 30x = 1500, then you divide by 30 on both sides leaving you with 50. If you want to check it, you can then multiply 50 by .30 which would give you 15.

A students wants to help her mother in their family store in displaying canned goods. Her mother instructed that the canned should be piled in triangular pile by starting 40 canned goods in the bottom row, 36 in the second row, 32 in the third row, and so on. If the pattern is consistent, how many canned goods will be there in the 7th row?

Answers

Answer: The number of canned goods in 7th row = 64.

Step-by-step explanation:

The given numbers of canned goods in every row( starting from first ) is represented as

40 , 36, 32, ...

There is a common difference between numbers(d)= 4

∴ Its is an Arithmetic progression.

First term (a) = 40

nth term in A.P. : [tex]a(n)= a+(n-1)d[/tex]

7th term in this A.P. = 40+(7-1)(4)=40+(6)(4)=40+24=64

So, the number of canned goods in 7th row = 64.

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