Linear function that are proportional always pass through what point

Answer: He can make 16 batches of cookies.

Step-by-step explanation:

Given: . To make cookies, Joshua  needs[tex]1\dfrac18[/tex] cups of flour per batch of cookies.

i.e. 1 Batch requires =[tex]1\dfrac18[/tex] cups of flour

=[tex]\dfrac{9}{8}[/tex] cups     [convert mixed fraction to improper fraction.]

Now if 1 batch = [tex]\dfrac{9}{8}[/tex] cups     (i)

Then, 1 cup = [tex]\dfrac{8}{9}[/tex] batch.           (ii)              [Multiply (i) by [tex]\dfrac{8}{9}[/tex]  ]

Joshua has 18 cups of flour.        

That means ,   18 cup = [tex]18\times\dfrac{8}{9}=2\times8=16[/tex] batch.   [Multiply (ii) by 18]

∴ He can make 16 batches of cookies.

Answer: No, it can never be negative.

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Explanation:

Consider the expression x^2

If x were some negative number, say x = -3, then

x^2 = (-3)^2 = 9 which is a positive result.

Picking any negative number for x will make x^2 positive.

We can think of it like this

(-3)^2 = (-3)*(-3) = 9

The two negatives multiply to a positive.

This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.

Answer:

2(x + 1) = 8x - 5

assuming you already made the first step, the next step is to distribute the 2

2x + 2 = 8x - 5

if you havent made the first step, above is the first step.

the second step would be to combine like terms by subtracting 2x and adding 5 to both sides

7 = 6x

then you would divide both sides by 6

x = 7/6

Answer:

Well, based on what is provided, I can't be sure that this will be right. If that's all that's given on your worksheet, then the answer should be 5.83

Step-by-step explanation:

Reason why I don't think this is correct is because there's usually two sets to deal with. Which with this, there's only one? I guess if that's the case, then flip the 35 to the other side of the equal sign and divide 35 by 6. that's what gets us 5.83. Please check your paper again to make sure you didn't miss the other side of the equation, because I don't want you to get this wrong over a little mistake.

Answer:

-6 and -4

Step-by-step explanation:

-6 + -4 = -10

-6- - 4 = -2

Answer:

3.2

Step-by-step explanation:

3.2/1

Answer:

D-246 pages.

Step-by-step explanation:

To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.

ANSWER 246

410*3(books)=1230 /5(days) =246

Answer:

(x-12y)(x+y)

Step-by-step explanation:

Answer: You should deposit about $17014 or little more

Step-by-step explanation:

use the compound interest formula.

A= p( 1 + r/n)^nt

Where A is the amount you will save over some  years .

p is the principal or start up  amount mostly known as the initial fee.

r is the interest rate represent by a decimal so 7% will be 0.07.

n is the number of times the interest is being applied annually. Semiannually means  twice.  So n will be 2.

T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.

24,000 = p( 1 + 0.07/2)^2*5

24,000= p( 1 + 0.035)^10

24000 = p( 1.035)^10

24000 = p( 1.41059876062)  Divide both sides by 1.41059876062

p = 17104  

Which means you should deposit about $17014 or little more

Step-by-step explanation:

-10x+5= -6x-35

-10x+6x=-35-5

-4x=-40

x=10

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Answer:

x^2 + (y+1)^2 = 16

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-0)^2 + (y+1)^2 = 4^2

x^2 + (y+1)^2 = 16

The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).

Here

The equation of the circle is given by

(x - h)² + (y - k)² = r² - - - - (1)

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²

Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

Learn more about circle here:

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Answer:

x=35

Step-by-step explanation:

Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees

Answer:

i don't understand Spanish ._.

Step-by-step explanation:

man I wish I understand you ._.

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

y=1

Answer:

d=hf+5

Step-by-step explanation:

Step 1: Factor out variable d.

d(f+5)=h

Step 2: Divide both sides by f+5.

d(f+5)f+5=hf+5

d=hf+5

Answer:

The smallest of the integers is 7

Step-by-step explanation:

Let the integers be x, y and z

From the question, the integers are consecutive odd integers.

Hence,

If the smallest of the integers is x and the largest is z, then we can write that,

x + 2 = y and

y + 2 = z

Then, x + 2 + 2 = z

∴ x + 4 = z ....... (1)

From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is

4x -5 = z + 12 ....... (2)

Put the value of z = x + 4 in equation (1) into equation (2),

We then get

4x - 5 = x + 4 + 12

4x - x = 4 + 12 + 5

3x = 21

x = 7

Hence, the smallest of the integers is 7

The other integers are 9 and 11 ( y= 9 and z = 11)

Step-by-step explanation:

y+19>_13

y=-13-19

=-32

Answer:

3; Sara is driving 30 miles per hour

Step-by-step explanation:

Here in this question, we want to select which of the options represent what a unit rate is.

When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.

Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow

Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred

Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time

Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know

Answer:

The amount of monthly installments is $267.30

Step-by-step explanation:

Here, we are interested in calculating the amount of the monthly is installments.

To get the amount of the installments, we need to calculate the sum of the interest and the amount borrowed.

Mathematically,

Simple interest = PRT/100

from the question;

P = principal which is the amount borrowed = $10,000

R = rate = 3.5%

T = time = 42 months = 42/12 = 3.5 years

Substitute these values into the formula for simple interest;

We have ;

S.I = (10,000 * 3.5 * 3.5)/100 = $1,225

So the total amount to

payback = interest + principal = 1225 + 10,000 = 11,225

So the amount of installments will be ;

The amount to payback/number of months

Mathematically that would be ; 11,225/42 = $267.26 which is approximately $267.30 per month

Answer: 6

Step-by-step explanation:

When you add a negative you subtract the opposite (4-2)

(4-2)^3

2^3

2+2+2

6

Answer:Step 1: Simplify both sides of the equation.

2y=4y+12

Step 2: Subtract 4y from both sides.

2y−4y=4y+12−4y

−2y=12

Step 3: Divide both sides by -2.

−2y

−2

=

12

−2

y=−6

Answer:

y=−6

Step-by-step explanation:

Answer:

a²+b² =c²

10²+z²=13²

z² = 13²-10²

z =square root of (169-100)

this is a right triangle and 13 side is the hypotenuse (the longest side)

Answer:

10,080 minutes

Step-by-step explanation:

7 x 24 x 60 = 10,080

Answer:

4

Step-by-step explanation:

solution: −√10<x<−2 or 2<x<√10

√10=3.16

-3,-2,2,3

The 2 and -2 are the integers satisfy the inequality.

It is required to find the number of integers .

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

For (x²– 4)< 0;

x²<4

By taking the square root of both sides we have,

√x²<√4

x < ±2

x<2 and x<-2

Also,

x²<10

By taking  the square root of both sides we get,

√x²<±√10

x < ±√10

x<√10 and x<-√10

The √10 is not an integer but an irrational number. An integer  is a whole number (not a fractional number) that can be positive, negative, or zero.

So we can't take the integer of ±√10.

Therefore, the 2 and -2 are the integers satisfy the inequality.

Learn more details about inequality here:

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Answer:

Step-by-step explanation:

If  point C is between P and R, then PC+CR = PR.

Given PC = 6x-5

CR = 7 and PR = 29

Required

Find the value of x in metres

Substitute the given values into the formula;

6x-5+7 = 29

6x+2 = 29

subtract 2 from both sides

6x-2+2 = 29-2

6x = 27

Divide both sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

x = 4.5 metres

Hence the value of x in metres is 4.5metres

Answer:

24

Step-by-step explanation:

Average = total number of coins / number of students

If the mean number of coins with boys is 14, the total number of coins held by boys =  14 x 9 = 126

The total number of coins held by the students = total number of children x average number of coins held by the children

15 x 18 = 270

The total number of coins held by girls = 270 - 126 =144

The mean  number of coins for the girls = 144 / 6 = 24

Answer:

The y intercept is 4

Answer:

14

Step-by-step explanation:

-392=28q

-392÷28=14

Answer:

p = 37

Step-by-step explanation:

divide 2 on both sides:

p = 37

Hope this helps!

Answer:

p=37

Step-by-step explanation:

74 ÷ 2 = 37

2×37 = 74

74 = 74

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