Write an equation of the line with the given slope, m, and y-intercept (0,b).

m = 2, b = 1

Answer:

1 taco is $4

Step-by-step explanation:

2t + 3d = 14              4t + 6d = 28

3t + 2d = 16              -9t -6d = -48

-5t = -20

t = 4

A tacos would cost $4.00.

Translating the word problem into an algebraic equation, we have;

[tex]2T \; + \; 3D = 14[/tex]   ......equation 1

[tex]3T \; + \; 2D = 16[/tex]   ......equation 2

To find how much a tacos cost, we would solve the above system of equations by using the substitution method.

From eqn 1, we would make D the subject of formula;

[tex]D = \frac {14 \; - 2T}{3}[/tex]  .....equation 3

Substituting eqn 3 into eqn 2, we have;

[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]

Lowest common multiple (LCM) = 3

[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]

Cross-multiplying, we have;

[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]

Tacos, T = $4.00

Therefore, the cost of a tacos is $4.00.

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Answer:

10/30

Step-by-step explanation:

First, multiply the denominator by 10 to make 30.

Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10

Therefore the answer is 10/30.

Answer:

a. x = roses

   y= lavender

b. x + y=36

c. 25x + 5y = 480

d. 19 rose bushes and 1 lavender bush

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]

And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]

Value of the z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]

[tex]z = 2.44[/tex]

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Answer:

1. < 11

2. < 5

3. < 1

4. x=38

5. x=25

6. x=6

7. x=18

8. x=52

9. x=15

10. x=12

Step-by-step explanation:

1. Vertical Angles

2. complementary angles= 90

3. vertical Angles

4. Supplementary Angles- 4x+28=180

5. vertical Angles :2x+5=55

6. Right Angle: 7x+8x=90

7. Supplementary Angles: 119+3x+7=180

8. vertical Angles: 3x=156

9. vertical angles: 8x-4=116

10. right angles: 3x+7+4x-1=90

Answer: go to I think it’s c but try a math solver to trust my answer

Step-by-step explanation:

Hope this helps

Answer:

The vertex of the parabola is

✔ (210, 138)

The highest the ball traveled was

✔ 138

feet.

Step-by-step explanation:

Edge 2022

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The highest the ball has travelled is 138 feet.

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in form (x, y);

a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.

A.) In the given quadratic equation, the vertex of the equation is  y=-0.003(x-210)² + 138 is (210,138).

B.) Since the vertex is the highest point, therefore, The highest the ball has travelled is 138 feet.

The complete question is,

Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modelled its flight path as a parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the

path of the ball.

The vertex of the parabola is ?

The highest the ball travelled was? Feet

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Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Answer:

Steps:

SA = 2L² + 4(LH)

SA = 2×11² + 4(11×9)

SA = 2×121 + 4×99

SA = 242 + 396

SA = 638 mi²

Answer:

14.5

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Here, we use BODMAS

12 x (3+2)² ÷ 2 - 10

12 x (5)² ÷ 2 - 10

12 x (5)² ÷ 2 - 10

12 × 25 ÷ 2 - 10

12 × 12.5 - 10

150 - 10 = 140

Thus, The answer is 140

-TheUnknownScientist

Answer

40.5

Step-by-step explanation

Answer:

Stament a, b, and c are correct.

Statement d is INCORRECT.

Step-by-step explanation:

Based on the dot plots given, the following statements are true and correct:

✔️Statement A is correct

Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.

✔️Statement b is correct:

Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.

✔️Statement c is correct:

Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.

❌Statement d is NOT CORRECT

Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.

Answer:

c

1,400

Step-by-step explanation:

We take the sample proportion of skunks and estimate for the entire population.

Sample:

140 skunks out of 230 + 140 + 120 = 490 animals.

140/490 = 0.28571428571

If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?

0.28571428571 out of 5000. So

0.28571428571*5000 = 1429

Close to 1400, which means that the answer is given by option C.

Answer:

Oops, didn't mean to answer because I already answered this one.

Step-by-step explanation:

Answer:

a

If they are vertical angles, they are equal.

5x - 24 = 3x + 24                      Add 24 to both sides

5x -24 +24 = 3x + 24 + 24       Combine

5x =   3x + 48                           Subtract 3x

5x - 3x = 3x-3x + 48                Combine

2x = 48                                    Divide by 2                                

x = 24

<A =5*24 - 24

<A = 96

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Trust me I made a graph to organize the numbers

9514 1404 393

Answer:

  (2,5) and (7,8)

Step-by-step explanation:

Gabby has increased the y-coordinates by 2 units to get her first parallel line. She can do the same thing again to get the second parallel line.

  (2, 3+2) = (2, 5)

  (7, 6+2) = (7, 8)

9514 1404 393

Answer:

  32x ft²

Step-by-step explanation:

The area of the garden plus patio is ...

  (x +8)² = x² +16x +64

The area of the patio is ...

  (x -8)² = x² -16x +64

The area of the flower garden is the total area less the patio area:

  (x² +16x +64) -(x² -16x +64) = 32x . . . area of the flower garden

Answer:

No solution

Step-by-step explanation:

4x+15 doesn't equal anything so it's impossible to solve.

Unless you forgot to add what it equals I can't solve it for you :(

Answer:

42 multpliy by 6

Step-by-step explanation:

Sheldon bought 7 boxes of cookies if he spent $42 on cookies.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost of one box of cookies = $6.

And total amount spent by Sheldon on cookies = $42.

Let Sheldon bough x boxes of cookies.

To find the number of boxes of cookies x,

Use ratio property,

Cost of one box of cookies = $6

Cost of x boxes of cookies = $6x

Total price = 42

6x = 42

x = 7

The required number of boxes of cookies is 7.

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Answer:

(x^2+3)^5/5 + C

Step-by-step explanation:

Here substitute u = x^2 + 3 , du/dx = 2x ---> dx= 1/2x du

Then: integral (u^4) du

Apply power rule: u^5/5

Then replace the substitution u=x^2+3 in u

= (x^2+3)^5/5 + C

Answer:

11/24

Step-by-step explanation:

first we work out the bracket -5/8+1/3= -7/24. then 1/6 - -7/24 two negatives means you will add to get the answer

Answer:

I think the Length is 5 cm and the width is 7 cm

Step-by-step explanation:

Answer:

height 6 radicAL 2 area: 120 radical 2

Step-by-step explanation: