A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation 4c + 5 = 27 represents the relationship between these quantities. Step 1: Answer the following questions: a. What could the 5 represent in this situation? b. Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct. c. Find the solution to the equation.

Answer:

profit =6-2=4

4×106-10.48 = 413.52

Answer: B. 413.52

Step-by-step explanation:

the net profit (ignore all other stuff): 106×6

the fee used for buying: 106×2

the advertising price: 10.48

 106×6-106×2-10.48

=636-212-10.48

=424-10.48

=413.52

Answer:

Last year’s price = $2.96

Step-by-step explanation:

Given:

Current price of gasoline = $3.40

Higher rate = 15%

Find:

Last year’s price

Computation:

Last year’s price = Current price of gasoline [100 / (100 + 15)]

Last year’s price = Current price of gasoline [100 / (115)]

Last year’s price = $3.40 [100 / (115)]

Last year’s price = 2.95652

Last year’s price = $2.96

Answer:

Your answer is 17%

Answer:

  see below

Step-by-step explanation:

The overbar on decimal digits means they repeat forever.

Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.

  1 2/3 = 1.66666666666... repeating

  1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6

  1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25

  1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66

Of course, your calculator can tell you the decimal equivalents, too.

:2:

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This is correct btw

Answer:

C )  circle

This equation represents circle

    x²-2 x+y²+4 y  - 31 =0

Step-by-step explanation:

Explanation:-

let P(x₁ , y₁) be the locus point

Let P(x₁ , y₁) and A(1,-2)

Given data PA = 6

                 PA² = 6²

  ( x₁ -1 )²+(y₁+2)² = 36

  x₁²-2 x₁+1+y₁²+4 y₁ +4 = 36

  x₁²-2 x₁+y₁²+4 y₁  = 36-5

  x₁²-2 x₁+y₁²+4 y₁  - 31 =0

This equation represents circle

    x²-2 x+y²+4 y  - 31 =0

Answer:

Circle, (C)

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

- ( -24/6) ^2

Simplify inside the parentheses

- ( -4) ^2

Square -4

-(16)

-16

Answer:

Step-by-step explanation:

5x −11+11<-11+11

5x<0

5x/5<0/5

x<0

4x+2 -2 >14 -2

4x>12

4x/4>12/4

x>3

there both open not closed

hope this helps

Answer:

  27.6 cm²

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r represents the radius, and θ represents the central angle in radians.

The radius is half the diameter, so is 4.75 cm. The angle in radians is ...

  (140°)(π/180°) = 7π/9

So, the sector area is ...

  A = (1/2)(4.75 cm)²(7π/9) ≈ 8.77π cm² ≈ 27.6 cm²

The area of the sector is about 27.6 cm².

Answer:

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was  to retain the null hypothesis .

Step-by-step explanation:

A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected then the value of the test statistic is equal to zero.

Then the decision  would be to retain the null hypotheses as zero is included in any value of the level of significance applied.

The chi square is a continuous distribution ranging from zero to plus infinity.

Answer:

25%

Step-by-step explanation:

9/36 = 0.25

25% are chocolate.

Answer:

The bike path

Step-by-step explanation:

A right triangle has a hypotenuse that can be found using the formula

a^2 + b^2 = c^2 where c is the hypotenuse

The street sign is obviously not correct because a hypotenuse is longer than the sides. The bathroom tile isn't correct either because 6^2 + 8^2 = 100, or 10 after you take the square root. That leaves the bike path.

Checking to make sure:

5^2 + 12^2 = c^2

25 + 144 = √169

√169 = 13

The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.

Any three line segments can form a right triangle only when they satisfy the Pythagoras Theorem, according to which, the square of the largest side in a right triangle is equal to the sum of the squares of the other two sides, that is, a² = b² + c², where a is the largest side, and b and c are the two other sides.

In the question, we are asked to identify from the given scenarios, the case that involves a right triangle.

We know that for three segments to be a right triangle, they need to satisfy the Pythagoras Theorem. So we check every scenario with the theorem:

∴ The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.

Learn more about the Pythagoras Theorem at

brainly.com/question/231802

#SPJ2

Answer:

[tex]\boxed{m = 7}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for m in the given equation,

-8m = -7 - 9m

Single out m

+ 9 to both sides

m = 7

Hope this helps :)

Answer:

m = 7

Step-by-step explanation:

-8m+9m=7-9m

Add 9m to each side

-8m+9m=7-9m

m = 7

Step-by-step explanation:

Hey, there!

Let's check whether the lines are parallel, perpendicular or neither.

Fistly let's check of parallel ,

Let me tell you when two st. lines are paralle, then their slope are equal.

Given equation are,

3x - 4y = 9.........(i)

8x+y = 12 ..........(ii)

Now,

From equation (i)

[tex]slope \: (m1) = \frac{ - coffe. \: ofx}{coffe. \: of \: y} [/tex]

[tex]\: slope \: (m1) = \frac{ - 3}{ - 4} [/tex]

[tex]therefore \: slope \: (m1) = \frac{3}{4} [/tex]

now, again slope from equation (ii).

[tex]slope(m2) = \frac{ - coffe.of \: x}{coffe. \: of \: y} [/tex]

[tex]slope \: (m2) = \frac{ - 8}{1} [/tex]

Therefore, the slope of equation (ii) is -8.

Since, Their slopes are not equal, they are not parallel.

Now, let's check for perpendicular,

To be perpendicular, slope (m1)× slope (m2)= -1

now,

[tex] = \frac{3}{4} \times - 8 [/tex]

= 3×-2

= -6.

So, the equations are neither parallel nor perpendicular.

Hope it helps...

Answer:

The final estimate of √388 is 20.

Step-by-step explanation:

The number provided is:

x = 1388

Estimate the square root of 1388 as follows:

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

So, we now know that the square root of 388 lies between 19 and 20.

Check for 19.5²:

19.5² = 380.25

Check for 19.6²:

19.6² = 384.16

Check for 19.7²:

19.7² = 388.09 ≈ 388

The square root of 388 is closer to 19.7 or is approximately 20.

Thus, the final estimate of √388 is 20.

Answer:

the answer is y= -3/4 x-3 i do believe

Answer:

Literally a line that shows the middle of the shape

Step-by-step explanation:

Answer:

The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

Step-by-step explanation:

Answer:

(3, 140)

Step-by-step explanation:

If we have the equation [tex]t = 50 + 30h[/tex], we can substitute the value 3 as [tex]h[/tex] to find the value of [tex]t[/tex].

[tex]t = 50 + 30(3)\\\\t = 50 + 90\\\\t = 140[/tex]

So we know that the total cost is $140.

To represent this as an ordered pair, we need to take note that the independent variable (x) is the one that we change to get the result (y).

We changed [tex]h[/tex] to get [tex]t[/tex], so [tex]h[/tex] is the x and [tex]t[/tex] is the y.

So it's represented as (3, 140).

Hope this helped!

Answer:

D

Step-by-step explanation:

We are a given line plot that indicates the lengths of insects and the quantity of insects that fit each length.

To determine how much longer the longest insect is than the shortest insect, we simply need to subtract the shortest into the longest.

The longest insect we have is the lone insect at 7/8 inches long.

The shortest insect measures 1/8 inches.

Therefore, the difference is:

[tex]\displaystyle \begin{aligned} \frac{7}{8} - \frac{1}{8} & = \frac{7-1}{8} \\ \\ & = \frac{6}{8} \\ \\ &\left( = \frac{3}{4}\right)\end{aligned}[/tex]

In conclusion, our answer is D.

Answer:

[tex]\Large \boxed{\mathrm{\frac{6}{8} \ inch}}[/tex]

Step-by-step explanation:

The longest insect is 7/8 inch long.

There are 4 insects that are the shortest at 1/8 inch long.

Subtract the length of the shortest insect from the longest insect.

[tex]\displaystyle \frac{7}{8} -\frac{1}{8} \\\\\\ \frac{7-1}{8} \\ \\ \\ \frac{6}{8}[/tex]

The longest insect is 6/8 inch longer than the shortest insect.

Answer:

30). 68°

31). 35.5°

Step-by-step explanation:

Question (30).

If WZ is the angle bisector of ∠XWY.

∠XWZ ≅ ∠YWZ

Therefore, measure of both the angles will be equal.

m∠XWZ ≅ m∠YWZ = 68°

and m∠XWY = 2(68°) = 136°

Question (31)

If WZ is an angle bisector of ∠XWY,

∠XWZ ≅ ∠YWZ

Therefore,

m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(m\angle XWY)[/tex]

m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(71)[/tex]

m∠XWZ = m∠YWZ = 35.5°

Answer:

[tex]\Huge \boxed{x=-2}[/tex]

Step-by-step explanation:

[tex]-7x=14[/tex]

Dividing both sides by -7.

[tex]\displaystyle \frac{-7x}{-7} =\frac{14}{-7}[/tex]

[tex]x=-2[/tex]

There is only one solution that satisfies the equation.

Step-by-step explanation:

−7x=14

Divide ➗ both sides by -7.

x = 14/-7

x=-2

Hope this helps.........

Answer:

12 in²

Step-by-step explanation:

W=2

L=2*3=6

A=6*2=12

Keith started with 44 cards.

So we need to work backwards.

After his dog ate half his collection, he had 25 cards.

To reverse that, you need to multiply 25 by 2.

25×2=50

If he bought 6 new cards that day, then he started with 6 cards less.

So you have to subtract 6 from 50.

50-6=44

♡ Hope this helped! ♡

❀ 0ranges ❀

Step-by-step explanation:

say if the irrational sqrt was the sqrt of 5. to find the approximation you would figure out what two perfect squares the sqrt of 5 lies between. which is sqrt of 4 and the sqrt of 9. then find the sqrt of those perfect squares which is 2  and 3. now you know that the sqrt of 5 will lie somewhere between 2 and 3.

Answer:

4

Step-by-step explanation:

[tex] \huge \sqrt[4]{256} = \sqrt[4]{ {4}^{4} } = 4 [/tex]

Answer:

6 hours

Step-by-step explanation:

Equation is 20x + 45.00

If you subtract $45 from $165 you'd get $120

( 165 - 45 = 120 )

120 ÷ 6 is 20, or $20

So x is equal to 6

x = 6

( 20 × 6 ) = 120 + 45 = 165

Hope I helped!

Answer:

[tex] \boxed{\sf Mass \ (M) \ of \ the \ round \ ball = 10 \ grams} [/tex]

Given:

Volume (V) = 10 millilitres

Density ([tex] \sf \rho [/tex]) = 1 gram/millilitre

To Find:

Mass (M) of the round ball

Step-by-step explanation:

Formula:

[tex] \boxed{ \bold{Density \: ( \rho) = \frac{Mass \ (M)}{Volume \ (V)} }}[/tex]

[tex] \sf \implies Mass \ (M) = Density \ (\rho) \times Volume \ (V)[/tex]

Substituting value of density ([tex] \sf \rho [/tex]) & volume (V) in the equation:

[tex] \sf \implies M = 1 \times 10 \\ \\ \sf \implies M = 10 \: grams[/tex]

[tex] \therefore[/tex]

Mass (M) of the round ball = 10 grams

Answer:

92

Step-by-step explanation:

Multiply 4 and 23:

4 * 23 = 92

Answer:

(a) The standard deviation of the amount spent is $3229.18.

(b) The probability that a household spends between $4000 and $6000 is 0.2283.

(c) The range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.

Step-by-step explanation:

We are given that the average annual amount American households spend on daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.

(a) It is stated that 5% of American households spend less than $1000 for daily transportation.

Let X = the amount spent on daily transportation

The z-score probability distribution for the normal distribution is given by;

                          Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = average annual amount American households spend on daily transportation = $6,312

           [tex]\sigma[/tex] = standard deviation

Now, 5% of American households spend less than $1000 on daily transportation means that;

                      P(X < $1,000) = 0.05

                      P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05

                      P(Z < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05

In the z-table, the critical value of z which represents the area of below 5% is given as -1.645, this means;

                           [tex]\frac{\$1000-\$6312}{\sigma}=-1.645[/tex]                

                            [tex]\sigma=\frac{-\$5312}{-1.645}[/tex]  = 3229.18

So, the standard deviation of the amount spent is $3229.18.

(b) The probability that a household spends between $4000 and $6000 is given by = P($4000 < X < $6000)

      P($4000 < X < $6000) = P(X < $6000) - P(X [tex]\leq[/tex] $4000)

 P(X < $6000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$6000-\$6312}{\$3229.18}[/tex] ) = P(Z < -0.09) = 1 - P(Z [tex]\leq[/tex] 0.09)

                                                            = 1 - 0.5359 = 0.4641

 P(X [tex]\leq[/tex] $4000) = P( [tex]\frac{X-\mu}{\sigma}[/tex]

                                                            = 1 - 0.7642 = 0.2358  

Therefore, P($4000 < X < $6000) = 0.4641 - 0.2358 = 0.2283.

(c) The range of spending for 3% of households with the highest daily transportation cost is given by;

                    P(X > x) = 0.03   {where x is the required range}

                    P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03

                    P(Z > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03

In the z-table, the critical value of z which represents the area of top 3% is given as 1.88, this means;

                           [tex]\frac{x-\$6312}{3229.18}=1.88[/tex]                

                         [tex]{x-\$6312}=1.88\times 3229.18[/tex]  

                          x = $6312 + 6070.86 = $12382.86

So, the range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.

Answer:

The answer is "The Parallel Postulate ".

Step-by-step explanation:

When the two lines will cross where angles of the amount are less than 180 degrees and the direct line overlaps two direct lines, that produces 2 ways the reinforcement on the same side to less than 180 degrees if extended indefinitely from the other hand. All this means that there is only one segment on the same plane parallel to a certain line at any point, not with a line.

Answer:

Step-by-step explanation:

Given  h(x) = (x - 1)³ + 10, f(x) = x + a and  g(x) = x³ + b so that  h(x) = (gof)(x)

To get the value of a and b that will make the composite function true, we will first need to get the composite function (gof)(x).

(gof)(x) = g[f(x)]

g[f(x)] = g[ x + a]

To get g(x+a), we will replace the variable x in the function g(x) = x+b with x+a as shown;

g[x + a] =   (x+a)³+b

Hence (gof)(x)  = (x+a)+b

Equating  h(x) = (gof)(x)

(x - 1)³ + 10 = (x+a)³+b

On comparing both sides of the equation;

(x - 1)³ = (x+a)³ and 10 = b

For (x - 1)³ = (x+a)³

Take cube root of both sides

∛ (x - 1)³ = ∛(x+a)³

x-1 = x+a

collect like terms

a = x-x-1

a = -1

Hence a = -1, b = 10

Answer:

a =  -1  

b =  10

Step-by-step explanation: