Timothy began the week with $35. He bought lunch at school, paying $2.25 for each meal. Let x be the number of meals he bought at school and y be the amount of money he had left at the end of the week. Which equation represents the relationship in the situation?

Answers

Answer 1

35 - 2.25x = y Hopefully this is helpful!

Related Questions

log4 (x - 7) = 3
solve for x

Answers

Firstly we apply the rule: [tex]a=\log _b\left(b^a\right)[/tex]:
[tex]\log _4\left(x-7\right)=3
\\\log _4\left(x-7\right)=\log _4\left(64\right)[/tex]

When the logarithms have same base, the following rule applies: [tex]\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right) \Rightarrow f\left(x\right)=g\left(x\right)[/tex].

And now we simply solve the linear equation:
[tex]x-7=64
\\x=71[/tex].

I know you all might want the steps too but the way i used in solving it is pretty long, but the answer is
2log2(x−7)=3

log2(x−7)=3/2

x−7=3/2log2

x−7=3/2log2

[tex]x = \frac{3}{2 log(2) }+ 7[/tex]
i hope this help

the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the buildings height

Answers

Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.

Then the height of the building is the 2nd shortest side.

The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft

so h = building height = (80 ft)(2.75) = 219.8 ft

What does 5/9-2/3x(-1/4)=

Answers

5/9 - 2/3 * (-1/4)=
5/9 + 1/6=
(10 + 3)/18 =
13/18

ms.Jackson and 3 of her friends went out for sushi. They order 6 rolls and 4 sodas. The soda is $3.75 less than the rolls. They spent a total of $70.50. What is the cost of one roll, Write and equation and solve.

Answers

Ms. Jackson + her 3 friends = 4 people all together

Find how many would each person be getting/eating.
6 rolls / 4 people = 1.5 roll(s) a person

First, subtract 3.75 from 70.50.
70.50 - 3.75 = 66.75

Take 66.75 and divide that by 4 (people)
66.75 / 4 = ~ (about) 16.69

Lastly, take 16.69 and divide that by 1.5 (roll(s))
16.69 / 1.5 = ~ (about) 1.11 each roll

I'm not sure that is right but I tried :(: I hope this works and is right! :) Sorry if it isn't! :(

Emily has 300 books if Frank were to double the number of books that he now owns he would still have fewer than Emily has

Answers

Frank's current number of books, 'b', satisfies the inequality 2b ≤ 300, and hence, the maximum value for 'b' is 150.

1. Let's assume Frank currently owns 'b' books.

2. According to the given information, if Frank were to double the number of books he now owns, he would still have fewer books than Emily.

3. We know that Emily has 300 books. So, the inequality representing the given information is 2b ≤ 300.

4. To find the maximum value for 'b', we need to solve this inequality.

5. Dividing both sides of the inequality by 2, we get b ≤ 150.

6. This means Frank can own a maximum of 150 books in order to maintain a smaller collection than Emily's 300 books.

The detailed mathematical sentence representing this information is: Frank's current number of books, 'b', satisfies the inequality 2b ≤ 300, and hence, the maximum value for 'b' is 150.

Complete question:

Write a mathematical sentence that expresses the information given below. Use bas your variable name. If necessary: type < = to means or > = to mean . If you need to show multiplication, do not use the letter x. Use the asterisk (*) symbol instead, or simplify your answer. Emily has 300 books. If Frank were to double the number of books that he now owns, he would still have fewer than Emily has.

Wilbur went to the Halloween costume party at the Teen Center dressed as Romeo. Wendy was at the same party dressed as Juliet. As fate would have it, their eyes met across the crowded room, and they instantly fell in love. (Cheesy, right?) Unfortunately, they never got to talk to each other at the party and have been trying to find each other ever since! Wilbur went back to the Teen center 2 days after Halloween and goes back there every 13th day hoping to find his Juliet. Wendy went back to the Teen Center four days after Halloween and goes back there every 17th day looking for her beloved Romeo. When will they miss each other by just one day?
When will the meet?

Answers

I think this is fake but ima say my answer anyway subtract 17 by 14 and u have ur answer I think I don't think this is a math question but, little tiny tottie Middle schoolers have it different in highschool so I don't know.

which numbers represents a repeating decimal -2/5, -7, 3/9, 11/12

Answers

-2/5=-.4
-7=-7

These two are repeating decimals.
3/9=.3333334
11/12=.9166667

Every day a zookeeper feeds 4 adult gorillas a total of 160 lb of food. At this rate HOW many pounds of food would the zookeeper need everyday to feed 6 adult gorillas

Answers

Ur total will be 240 lb of food bc if u have 1 adult gorilla a total of 40 u just do 40 *6

5d - 1 = -11
What is d?

Answers

5d - 1 = -11

5d = -11 + 1

5d = -10

d = -10/5

d = -2

hope this helped, God bless!

The answer is D= -2
Hope this helps :)

Which of the following is not a possible value for a probability?

A. 0.001
B. 1/10
C. 11/10
D. 1/16

Answers

C, 11/10 is not a possible value for probability, as it is not an actual situation one could be in. For example, if you can get a maximum of ten questions correct on your quiz, and you get eleven correct, that would no make much sense in the real world, unless if you consider extra credit an "extra question."

C. 11/10

probability takes values from 0 to 1.

A gift box in the shape of a cube has a volume of 216 cm3 . What is the area of the base of the box

Answers

The volume consists of L*W*H. Since it is a cube, each measurement will be the same. The cube is 6 for Length, width, and height. The SA for the base of the box is 36cm.

The area of the base of a cube with a volume of 216 cm³ is 36 cm², obtained by first calculating the side length as the cube root of the volume and then squaring that length.

The volume of a cube is calculated by raising the length of one of its sides to the third power (Volume = s³), where s is the length of a side. Given that the volume of the gift box is 216 cm³, we can find the length of a side by taking the cube root of the volume. The cube root of 216 cm³ is 6 cm, which is the length of each side of the box.

Since the base of the cube is a square, the area of the base is simply the length of a side squared (Base Area = s²). Hence, the area of the base of the box is 6 cm × 6 cm, which equals 36 cm².

help me please,it will be greatly appreciated

Answers

1) √3(2)-2/3^2 = √6-2/9= 2/9
As you see, as according to the rule, 3 would be represented by the variable a while 2 would be represented by the variable b. Since you know this, you simply plug the values into the equation, plugging 3 in where a belongs and plugging 2 in where b belongs. After this, you simplify which gets you to your answer, 2/9.

2.)3(ab^2)^3= 3(a^3b^2*3)=3(a^3 b^6)= 3a^3b^6
Since you know the rule of indices or indexes (the power) in this case would be distributing the outside exponent, 3 to the inner exponents a^1(since there is no power labeled, it is implied that a is raised to the first power) b^2, which would be multiplying the outside exponent to the inner indexes. Then, once you have done this, you distribute the value, 3, to a^3b^6.

Given f(x)= -4x+7, find f(1)

Answers

Hi there!

To find f(1), plug in x=1 into the equation
f(1) = -4(1) + 7
= -4 + 7
= 3
That's your answer.
Have an awesome day! :)

From your friendly Helper-in-Training, collinjun0827

You replace x with 1, so this looks like:
-4(1) + 7
-4 * 1 also equals -4, so, -4(1) + 7 = -4 + 7. -4 is the slope (down 4 to the left 1), and 7 is the y-intercept, so there should be a point on 7 on the up and down line which is y.

grace has 2 cups of strawberries and plans to divide this amout into equal parts to make 3 strawberry pies what fracion of a cup of strawberries will be used for each pie?

Answers

2/3 is the fraction to the answer you just asked on brainly

Evaluate. (1/4)^-2 - (5^0×2)×1^-1

Answers

14 would be the answer
Hope this helps...

(1/4)^-2 - (5^0×2)×1^-1
(1/4)^-2 - (1×2)×1^-1
(1/4)^-2 - 2×1^-1
0.25^-2 - 2×1^-1
16 - 2×1
16 - 2
14

You're welcome

1.9x=3x-36 Solve for X

2. 9z+10=1-3(5-3z) How many solutions does the equation have?

3.3y+10/4=2y what is the value of Y

4.2x+4=2(x+2) What statement about the equation is true

5.4(z-5) +2 =4z-18 how many solutions does this equation have

Answers

1.9 * 3 = 27
3 * 3 = 9
36 - 9 = 27
so x = 3
2. 9z + 10 = 1 - 3(5 - 3z)
9z + 10 = 1 - 15 + 9z
9z + 10 = 9z - 14
9z - 9z = -14 - 10
0 = - 24....incorrect

This equation has no solutions....0 solutions
3. Y=2 that's your answer:
Times it by 4:
3y+10 = 2y*4
3y+10 = 8y

Move the 12y over to the other side:
10 = 8y - 3y
10 = 5y

Divide both sides by 5:
10/5 = 5y/5
2 = y
4. The equation has many solutions
5. Distribute the 4:
4z - 20 + 2 = 4z - 18
Subtract 4z
-20 + 2 = -18
-18 = -18
This is true so that means there are infinite number of solutions and z could be anything
Hope this helps!

A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight?

Answers

F = k x
15 = k *10
k = 1.5

check:
24 = 1.5 x
x = 16 sureenough

so 1.5 oz/inch
= 1/1.5 inches/oz = 2/3 = 0.6666.... in/oz

The spring stretch 0.6 inches per ounce of additional weight.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A weight of 15 ounces stretches a spring 10 inches.

∴ Inches increase of the spring per ounce of weight is the total increase in length divided by the total weight,

= (10/15) inches.

= 0.6 inches of increase in length per ounce.

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the quotient of eight and a number h is written as

Answers

the quotient of 8 and h is written as 8/h

8/h quotient is to divide so you are dividing by h

If 1 oz of potato chips contains 180 calories, how many ounces would contain 3,180 calories

Answers

Since 180calories = 1oz, divide 3180 by 180 and you will get the ounces.
3180/180 = 17.666

17.666oz

In 17.66 ounces of chips, 3180 calories are there.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, 1 oz of potato chips contains 180 calories.

∴ No. of ounces of chips that contains 3180 calories can be obtained if we divide total calories by calories in 1 oz which is,

= (3180/180).

= 17.66 ounces.

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What is the equation of the graphed line?

enter answer in slope-intercept form in the box

Answers

The answer:
y= -9/8x+7

Answer:

[tex]y=-\frac{9}{8}x+7[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept

point [tex](8,-2)[/tex]

substitute the value of x , y and b in the equation to solve for m

[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]

[tex]m(8)=-2-7[/tex]

[tex]m=-9/8[/tex]

therefore

the equation is equal to

[tex]y=-\frac{9}{8}x+7[/tex]

George ran 1.1 miles, took a break, and then ran 2.1 more miles. How many meters did George run in all?

Answers

First, you would need to calculate how many miles George ran.
1.1 mi + 2.1 mi = 3.2 mi

Now, 1 mile = 1,609.34 meters, so you would multiply the number of meters per mile by the number of miles.
3.2 × 1,609.34 = 5,149.9 meters

George ran 5,149.9 meters in all.

I hope this helps!

Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.

Answers

First, convert all pounds andou8nced to decimal pounds.
To do that, divide the number of ounces by 16 and add to the number of pounds.
For example, 152 lb 4 oz = 152 lb + 4/16 lb= 152.25 lb
14 lb 8 oz = 14 lb + 8/16 lb = 14.5 lb
Do the above for all given weights.

For each line, do this.
Divide the number in the left column by the number in the middle column.
For example, 152.25/14.5 = 10.5. Since the ratios are always the same, the first column is always 10.5 times the middle column.
If you are given the left column, divide by 10.5 to find the middle column.
If you are given the middle column, multiply by10.5 to find the left column.
Finally, add the left and middle columns to find the right column.

What is 3x5+2x8+2 do you know

Answers

Parenthesis
Exponents
Multiplication/division
3x5=15
2x8=16
15+16+2
33

A keyboard is on sale for $676. If this price represents a 20% discount from the original price, what is the original price to the nearest cent?

Answers

original price is $811.2 because $676 x 1.2 = $811.2

I am so stuck please explain to me how to do this. If you can do this, please do!

Directions: Write each decimal as a fraction or a mixed number.

10.9

00.8

4.125

0.0075

8.016

0.055

Answers

well, I think what u could do is put 1 where the decimal is and 0 by however many numbers there are, for example, 1.13/ 100. There is a 1 for the decimal and two 0 for the two numbers. And then simplify as much as you can and then make it into a mixed fraction if you have to like if it is 9/5 or something

HURRY MATH QUESTION DOWN BELOW

Answers

The answer should be 18/54

9n+21−3n−24 simplify

Answers

Alright First you combine the like terms.
9n - 3n = 6n
21 - 24 = -3

Rewrite the simplified equation
6n - 3 = 0

Solve for n
6n = 3
n = 3/6
n = 1/2

Ask if you need more help! :)

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) ?

A. The graph of g(x) is the graph of f(x) translated 7 units left.
B. The graph of g(x) is the graph of f(x) translated 7 units up.
C. The graph of g(x) is the graph of f(x) translated 7 units right.
D. The graph of g(x) is the graph of f(x) translated 7 units down.

Answers

The answer is c: the graph of g(x) is the graph of f(x) translated 7 units to the right

The statement which correctly describes the relationship between graphs related as g(x)=f(x−7) is; Choice C {The graph of g(x) is the graph of f(x) translated 7 units right}

According to the question; g(x)=f(x−7).

In essence, for every value of x on the graph (g), the value of x on the graph (f) reduces by 7.

Put differently; for every value of x on the graph (f), the value of x on the graph (g) increases by 7.

However, In graphs: an increase on the x axis is depicted by a movement rightward on the number line.

Therefore, if the relation g(x)=f(x−7) holds;

The graph of g(x) is the graph of f(x) translated 7 units right.

Read more:

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Show how to multiply 6x298 using friendly numbers and then using properties and mental math. Write about which method you like better and why

Answers

Rewrite 6*298 as 6(300-2). Mult 300 by 6: result is 1800. Mult -2 by 6; result is -12. Thus, 6*298 = 1800-12 = 1788.

You could also estimate the answer by mult. 6 and 300. The result is, of course, 1800.

Rewrite as a square or a cube:
3 3/8 =_____

1 11/25=_____

Answers

1)

3 3/8= (3/1) + (3/8)=
     = (3x8)/8 + (3/8)
     =(3x8 +3) / 8              putting both numbers with the same denominator
      =27/8
27 is the same as 3³      3x3x3= 27
8 is the same as 2³        2x2x2= 8
= 3³÷ 2³

2)
1 11/25= (1/1) + (11/25)
= (25/25) + (11/25)     putting both numbers with the same denominator
= (25+11)/25
=36/25
36 is the same as 6²     6x6=36
25 is the same as 5²     5x5=25

6²/5²

Answer:

3 3/8= (3/1) + (3/8)=

= (3x8)/8 + (3/8)

=(3x8 +3) / 8 putting both numbers with the same denominator

=27/8

27 is the same as 3³ 3x3x3= 27

8 is the same as 2³ 2x2x2= 8

= 3³÷ 2³

1 11/25= (1/1) + (11/25)

= (25/25) + (11/25) putting both numbers with the same denominator

= (25+11)/25

=36/25

36 is the same as 6² 6x6=36

25 is the same as 5² 5x5=25

6²/5²

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Step-by-step explanation:

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