Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.

Answer:

7/12, 2/3, 17/24, 3/4

Answer:

143

Step-by-step explanation:

Let's call the number we're trying to find "x".

According to the problem, we know that:

5/13 of x = 55

To solve for x, we can start by multiplying both sides by the reciprocal of 5/13, which is 13/5:

(13/5) * (5/13) * x = (13/5) * 55

Simplifying, we get:

x = 143

Therefore, the number we're looking for is 143.

Answer:

The second one.

Step-by-step explanation:

The others don't add up to that number

Answer:

All real numbers

Step-by-step explanation:

The parabola is expanding infinitely in both the negative and positive directions. So the x value will be all real numbers.

Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

The answer is the distance is 9. I am hopefully correct

Distance formula: d = √(x2-x1)^2+(y2-y1)^2

d = √(8-1)^2+(-9-(-1)^2)

d = √7^2+(-8)^2

d = √49+64

d = √113

d ≈ 10.63

Best of Luck!

Answer:

5 I think . 5 5. 5 5 5 5 5 5

Step-by-step explanation:

its 5. 5 55.

Answer:

3/9 = 1/3 of a minute or 20 seconds

Step-by-step explanation:

Answer:

1/3 of a minute

Step-by-step explanation:

1/3 x 3 = 1 bottle

1/9 x 3 = the time

1/9 x 3 = 3/9 or 1/3

Answer:

price per pound of apple = $1.25

price per pound of banana = $0.75

Step-by-step explanation:

Your first question is what value should you multiply the second equation by in order to eliminate the y terms.

The number should be 3.  Let us multiply the first equation by 2 and the second equation by 3 and see how y will be eliminated.

10x + 6y = 17...............(i)

9x + 6y = 15.75...........(ii)

10x - 9x  = x

6y - 6y = 0

17 - 15.75 = 1.25

x = 1.25

let us find y

10x + 6y = 17...............(i)

10(1.25) + 6y = 17

12.5  + 6y = 17

6y = 17 - 12.5

6y = 4.5

divide both  sides by 6

y = 4.5/6

y = 0.75

In order to eliminate y term from the system of equations we multiply equation 2 by -3.

The price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

Given equations,

\(5x + 3y = 8.5\).........(1)

\(3x + 2y = 5.25\).......(2)

Here x is the cost per  pound of apples, and y is the cost per pound of bananas.

According to the question, multiply the first equation by 2, we get

\(10x+6y=17\).....(3)

So, in order to eliminate y term from the system of equations we multiply equation 2 by -3, we get

\(-9x-6y=15.75\).....(4)

Now Adding (3) and (4) equation, we get

\(x=1.25\)

Putting the above value of x in equation 3 we get,

\(10\times1.25+6y=17\\12.5+6y=17\\6y=17-12.5\\6y=4.5\\y=\frac{4.5}{6} \\y=0.75\)

Hence the price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

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Answer:

Step-by-step explanation:

Answer:

$656.25

Step-by-step explanation:

The formula for simple interest is:

\(A=Prt\)

Where A is the final amount, P is the principal, r is the rate, and t is the time in years.

The question does not specify whether the interest rate is annual or not, but I will assume it is! To convert 15 months to years, divide it by 12 months!

\(\frac{15}{12}=\frac{5}{4}=1.25\)

I also need the percent to be a decimal. To convert a percent to a decimal, divide by 100.

\(7.5/100 = 0.075\)

Now, plug the values into the formula!

\(A=7000*0.075*1.25\\A=656.25\)

The total amount after 15 months is $656.25

The original number is 57.

The two equations are x+y = 12 and (10y+x)−(10x+y) = 18.

Let the digit at the tens place be x and the digit at the unit place be y.

x+y = 12 .........(1)

Required Number = (10x+y).

Number obtained on reversing the digits = (10y+x).

According to the condition, we get

(10y+x)−(10x+y) = 18

→ 9y−9x = 18

→   y−x = 2     ..........(2)

Adding (1) and (2), we get

2y = 14

y =7

x = 12 - 7

x  = 5

Hence, the required number is 57.

The equations used to solve this is x+y = 12 and (10y+x)−(10x+y) = 18.

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The net force on the cart is 62N

and the vertical component =36.64 N

the horizontal component= 50N

What is revolution of vector?

The process of splitting a vector into its components is called resolution of the vector. We resolve a vector into two components which are. component along the x-axis called horizontal component. component along the y-axis called vertical component

30N tension on the cart is westward which mean the vertical component will be 0 and the horizontal component will be 30N.

40N tension isN 30° E which means

the vertical component= 40 sin60=36.64N

Horizontal component= 40 cos 60= 20N

sum of vertical = 36.64N +0= 36.64N

sum of horizontal= 30N+20N= 50N

60° was used for tension 40N because the angle of vector must always lie on the horizontal axis

therefore the net force F is obtained by using Pythagoras theorem

F= √(50^2+36.64^2)

= 62N to the nearest whole number.

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3 + 9 = 12/3 = positive 4 the missing number in the equation is 12/3.

Answer:

0.75

Step-by-step explanation:

We have\begin{align*}

\sqrt{0.5625} &= \sqrt{\dfrac{5625}{10000}}\\

&= \dfrac{\sqrt{5625}}{\sqrt{10000}}\\

&= \dfrac{\sqrt{25\cdot 225}}{100}\\

&= \dfrac{\sqrt{25}\cdot \sqrt{225}}{100}\\

&=\dfrac{5\cdot 15}{100}\\

&=\boxed{0.75}.\end{align*}

The Square root of 0.5625 is 0.75.

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root.

Given:

We have to find the square root of (0.5625).

So, 5625 can factorize as

= 5625

= 5 x 5 x 5 x 5 x 3 x 3

Now, making the pairs as

= (5 x 5) x (5 x 5) x (3 x 3)

= 5 x 5 x 3

= 75

So, the root of 0.5625 in decimal is 0.75.

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Answer:

3 (7 a - 5) (a - 2)

Step-by-step explanation:

Factor the following:

21 a^2 - 57 a + 30

Factor 3 out of 21 a^2 - 57 a + 30:

3 (7 a^2 - 19 a + 10)

Factor the quadratic 7 a^2 - 19 a + 10. The coefficient of a^2 is 7 and the constant term is 10. The product of 7 and 10 is 70. The factors of 70 which sum to -19 are -5 and -14. So 7 a^2 - 19 a + 10 = 7 a^2 - 14 a - 5 a + 10 = a (7 a - 5) - 2 (7 a - 5):

3 a (7 a - 5) - 2 (7 a - 5)

Factor 7 a - 5 from a (7 a - 5) - 2 (7 a - 5):

Answer: 3 (7 a - 5) (a - 2)

I think it is -4 and positive 2

Expectation is linear, meaning

E(a X + b Y) = E(a X) + E(b Y)

= a E(X) + b E(Y)

If X = 1 and Y = 0, we see that the expectation of a constant, E(a), is equal to the constant, a.

Use this property to compute the expectations:

E(X + 10) = E(X) + E(10) = $110

E(5Y) = 5 E(Y) = $450

E(X + Y) = E(X) + E(Y) = $190

Variance has a similar property:

V(a X + b Y) = V(a X) + V(b Y) + Cov(X, Y)

= a^2 V(X) + b^2 V(Y) + Cov(X, Y)

where "Cov" denotes covariance, defined by

E[(X - E(X))(Y - E(Y))] = E(X Y) - E(X) E(Y)

Without knowing the expectation of X Y, we can't determine the covariance and thus variance of the expression a X + b Y.

However, if X and Y are independent, then E(X Y) = E(X) E(Y), which makes the covariance vanish, so that

V(a X + b Y) = a^2 V(X) + b^2 V(Y)

and this is the assumption we have to make to find the standard deviations (which is the square root of the variance).

Also, variance is defined as

V(X) = E[(X - E(X))^2] = E(X^2) - E(X)^2

and it follows from this that, if X is a constant, say a, then

V(a) = E(a^2) - E(a)^2 = a^2 - a^2 = 0

Use this property, and the assumption of independence, to compute the variances, and hence the standard deviations:

V(X + 10) = V(X)  ==>  SD(X + 10) = SD(X) = $90

V(5Y) = 5^2 V(Y) = 25 V(Y)  ==>  SD(5Y) = 5 SD(Y) = $40

V(X + Y) = V(X) + V(Y)  ==>  SD(X + Y) = √[SD(X)^2 + SD(Y)^2] = √8164 ≈ $90.35

Answer:

I cannot see the picture it just shows the image logo

Step-by-step explanation:

The amount that she owes after she factors in interest will be $33,455.64.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.

Then the amount is given as,

A = $25,000 x (1 + 0.06)⁵

A = $25,000 x (1.06)⁵

A = $25,000 x 1.3382

A = $33,455.64

The amount that she owes after she factors in interest will be $33,455.64.

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40.6 miles and $9.77

Step-by-step explanation:

[Number 1]

8.12 × 5

= 40.6 miles

[Number 2]

2.79 × 3 ½

= 2.79 × 3.5

= 9.765

≈ $ 9.77

Answer:

Evaluate for x=0.02,y=0.1,z=0.3

(3)(0.02)−(2(0.12)+0.33)

(3)(0.02)−(2(0.12)+0.33)

=0.013

Step-by-step explanation:

Answer:

[B] 68

Step-by-step explanation:

Given:

the figure in the picture

Solution:

Q - 124 + 56 =180

Since,  r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees.

Step by step solving below:

Q = 180 - 124

Q = 56

56 (m∠Q) + 56 (m∠ R) = 112

S = 180 - 112

S = 68

Thus, the answer is [B] 68 which also means m∠ 68

Kavinsky

Answer:

mS = 68 (B)

Step-by-step explanation:

First, we are given mR, which is 56.

Next, we can figure out mQ by subtracting 124 from 180 (because it's a straight line) :: 180 - 124 = 56, SO, mQ = 56

Now, we know that the sum of all the interior angles is 180, so we'll subtract mR and mQ from that....

180 - (mR + mQ) >> 180 - (56 + 56) >> 180 - 112 = 68

therefore, mS = 68

Answer:

=41

Step-by-step explanation:

X = 4 and y =5

6( \(4^{2} - 5\)) - \(5^{2}\)

= 6 (16-5) -25

= 6 (11)-25

= 66 -25

=41

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Check the picture below.

so we know the quadrilateral is a Rhombus, that means all sides are equal and that the diagonals bisect each other, furthermore the diagonals are perpendicular to each other, what the heck all that means?  Well, it means that if we look at any of the triangles, they all have a side of 16 and a hypotenuse of 20, so

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{20}\\ a=adjacent\\ o=\stackrel{opposite}{16} \end{cases} \\\\\\ a=\sqrt{ 20^2 - 16^2}\implies a=\sqrt{ 400 - 256 } \implies a=\sqrt{ 144 }\implies \stackrel{ EH }{a}=12\)

The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption.  P(terriers) = 85% is likely Option B

Generally, Probability is the area of mathematics that deals with providing numerical descriptions of the likelihood that an event will take place or the likelihood that a statement will be correct.

A number between 0 and 1 may be thought of as representing the chance of an event happening, with 0 indicating that the occurrence is impossible and 1 indicating that it will definitely happen.

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Answer:

81.64ft

Step-by-step explanation:

The length of the fencing material is the circumference

Circumference  = 2πr

r is the radius = 13ft

π = 3.14

Substitute

Circumference = 2(3.14)(13)

Circumference = 26 * 3.14

Circumference = 81.64ft

Hence the required length is 81.64ft

Answer:

1.56 hours

Step-by-step explanation:

300 gal × 1 min 3.2 gal × 1 hr 60 min = 1.56 hr.

Answer:

i thought the question said a 'HORSE' fills a hot tub...

Step-by-step explanation:

lol dont mind me i just want points :D