In one year, a taco truck makes 13,370 chicken tacos, 6,670 fewer beef tacos than chicken tacos, and 3,400 fewer fish tacos than beef tacos. How many tacos does the truck make in all?
Solve on paper.
The truck ? makes
tacos.

Answer:

4.1

Step-by-step explanation:

4.105

Step-by-step explanation:

4.10526315789

used an calculator

The thief stole 22 oranges using algebraic equations.

To solve this problem, we need to use algebra. Let x be the number of oranges the thief stole.

According to the problem, the thief gave the guard half of the stolen oranges and two more. This means that he gave away (1/2)x + 2 oranges.

We also know that the thief was left with only 9 oranges. So we can set up the equation:

x - [(1/2)x + 2] = 9

Simplifying this equation:

(1/2)x - 2 = 9
(1/2)x = 11
x = 22

Therefore, the thief stole 22 oranges.

The problem presents us with a scenario where a thief entered an orange garden and stole some oranges. However, he was caught by the guard. In order to get rid of the guard, the thief decided to give him half of the stolen oranges and two more. As a result, the thief was left with only 9 oranges.

To solve this problem, we used algebraic equations. We let x be the number of oranges the thief stole. We also knew that the thief gave away (1/2)x + 2 oranges to the guard. Using this information, we were able to set up an equation where x - [(1/2)x + 2] = 9. Simplifying the equation, we were left with (1/2)x - 2 = 9. Solving for x, we found that the thief had stolen 22 oranges.

In conclusion, algebraic equations are a useful tool in solving mathematical problems. By setting up an equation and simplifying it, we were able to determine the number of oranges that the thief had stolen.

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Answer:

12. Option b: 20 is the correct answer.

13. Option a: A rose costs $1 more than a daisy is the correct answer.

Step-by-step explanation:

12. Given that:

15x+10y=700       Eqn 1

x+y=60      Eqn 2

To find x, we will eliminate y be multiplying Eqn 2 by 10

10(x+y=60)

10x+10y=600      Eqn 3

Subtracting Eqn 3 from Eqn 2

(15x+10y)-(10x+10y)=700-600

15x+10y-10x-10y=100

5x=100

Dividing both sides by 5

\(\frac{5x}{5}=\frac{100}{5}\\x=20\)

Hence,

Option b: 20 is the correct answer.

13. Given that:

5x+4y=32     Eqn 1

x+6y=22       Eqn 2

Multiplying Eqn 2 by 5

5(x+6y=22)

5x+30y=110     Eqn 3

Subtracting Eqn 1 from Eqn 3

(5x+30y)-(5x+4y)=110-32

5x+30y-5x+4y=78

26y=78

Dividing both sides by 26

\(\frac{26y}{26}=\frac{78}{26}\\y=3\)

Putting y=3 in Eqn 2

x+6(3)=22

x+18=22

x=22-18

x=4

Hence,

Option a: A rose costs $1 more than a daisy is the correct answer.

Similar triangles may or may not be congruent.

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

\(\mathbf{7z+6 = 5y}\)

\(\mathbf{2y-12 = z + 12}\)

Collect like terms

\(\mathbf{2y= z + 12+12}\)

\(\mathbf{2y= z + 24}\)

Make z the subject

\(\mathbf{z = 2y -24}\)

Substitute \(\mathbf{z = 2y -24}\) in \(\mathbf{7z+6 = 5y}\)

\(\mathbf{7(2y -24) + 6 = 5y}\)

\(\mathbf{14y -168 + 6 = 5y}\)

\(\mathbf{14y -162 = 5y}\)

Collect like terms

\(\mathbf{14y -5y = 162}\)

\(\mathbf{9y = 162}\)

Divide both sides by 9

\(\mathbf{y = 18}\)

Recall that: \(\mathbf{z = 2y -24}\)

\(\mathbf{z = 2 \times 18 - 24}\)

\(\mathbf{z = 12}\)

\(\mathbf{L = 60}\)

\(\mathbf{LN = 2y - 12}\)

\(\mathbf{LN = 2 \times 18 - 12}\)

\(\mathbf{LN = 24}\)

\(\mathbf{C = L}\)

\(\mathbf{C = 60}\)

\(\mathbf{AC = LN}\)

\(\mathbf{AC = 24}\)

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

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Answer:

Function

Please mark me as brainliest.

The mean is 172, the variance is 34.4, and the standard deviation is 5.86.

The United States has a system of bicameralism, which means that each state has two chambers in its legislature: a lower chamber (such as the Assembly or House of Representatives) and an upper chamber (such as the Senate).

The number of constituents per district in each chamber varies from state to state, and it is usually determined by the state's constitution or by a state redistricting commission.

As of the 2010 census, Texas had about 811,147 constituents per state senate district.

However, this is not the highest number of constituents per senator among all the states.

In fact, the state with the highest number of constituents per senator is California.

According to the U.S. Census Bureau, as of the 2010 census, California had a population of approximately 37.3 million people.

The state's constitution provides for 40 state senators, which means that each senator represents approximately 933,000 constituents.

This is significantly higher than the number of constituents per senator in Texas.

The high number of constituents per senator in California can be attributed to the state's large population and the fact that the number of state senators has not kept up with population growth.

The last time the number of state senators in California was increased was in 1973, when the state's population was around 20 million people.

In conclusion, while Texas has a high number of constituents per state senate district, it is not the only state with a high number of constituents per senator.

California has a significantly higher number of constituents per senator, due to its large population and the fact that the number of state senators has not kept up with population growth.

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The value of the function for x = 2 is -6.

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

Given that, a function f(x) = 3x – 12, we need to find f(2).

To find f(2) we will put x = 2 in the function,

f(x) = 3x-12

f(2) = 3(2) -12

f(2) = 6-12

f(2) = -6

Hence, the value of the function for x = 2 is -6.

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Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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Answer:

According to SSS (side, side, side)

Step-by-step explanation:

Hope it helps...

....

Answer:

1/8 for the first one then 1/6 for the second one

Step-by-step explanation:

Answer:

I'm assuming that 1 is actually a point with coordinates (1, something) and you meant the point H(25,-16).

To find the equation of the line passing through two points (x1,y1) and (x2,y2), we can use the point-slope form:

y - y1 = m(x - x1)

where m is the slope of the line, which can be calculated as:

m = (y2 - y1) / (x2 - x1)

Using the points H(25, -16) and 1(-2.5, y), we have:

m = (-16 - y) / (25 - (-2.5)) = (-16 - y) / 27.5

Multiplying both sides by 27.5, we get:

-16 - y = -0.58x + b

where x is the x-coordinate and b is the y-intercept of the line. To find b, we plug in one of the points (let's use H) and solve for b:

-16 - (-16) = -0.58(25) + b

b = -16 - (-14.5) = -1.5

Therefore, the equation of the line passing through H(25, -16) and 1(-2.5, y) is:

y + 1.5 = -0.58(x + 2.5)

or:

y = -0.58x - 4.25

Note: I assumed that you meant H(25,-16) and I used -2.5 as the x-coordinate for point 1 because you didn't specify what it was.

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Step-by-step explanation:

per the laws of intersecting lines the angles on one side of any of the lines must be the same as the angles on the other side of that line - just left-right mirrored.

for that reason, CGE = DGF.

also to remember : the sum of all angles around a point on one side of a line is always 180° (because they represent a half-circle with that point being the center). in other words, these angles are supplementary (together 180°).

therefore,

180 = 62 + 32 + DGF

DGF = CGE = 180 - 62 - 32 = 86°

Answer:

21 + 25i√3

Step-by-step explanation:

⇒ equation: (p√−3)+q

⇒ p = 25

⇒ q = 21

Plug in:

((25)√−3) + 21

√−3 = i√3

25i√3 + 21

Answer:

8 A

Step-by-step explanation:

V = 20 volts

R = 2.5 ohms

I=?

By Ohm's Law

\( \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere\)

Given phrase as numerical expression: 114 < -49

and the numerical expression is mathematically incorrect.

In this question, we have been given a phrase.

We need to write a numerical expression for the phrase and simplify.

Given phrase is: '114 less than -49'

We can write this in mathematical expression form as,

114 < -49

Now add 49 to both the sides.

114 +49 < -49 + 49

163 < 0

which is False.

Therefore, given phrase as numerical expression: 114 < -49

and the numerical expression is mathematically incorrect.

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Answer:

4096/64

Step-by-step explanation:

The null hypothesis for the single factor ANOVA states that all means are equally true.

The null hypothesis for a single-factor ANOVA (analysis of variance) states that all means are equal.

The alternative hypothesis, on the other hand, suggests that at least one of the means is different from the others.

The purpose of the ANOVA test is to determine whether there is sufficient evidence to reject the null hypothesis and conclude that there are significant differences between the means. A statistical formula used to compare variances across the means (or average) of different groups.

Hence, the statement is true .

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Answer:

Step-by-step explanation:

Given two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the slope is defined as

XXX

m

=

Δ

y

Δ

x

=

y

2

−

y

1

x

2

−

x

1

Answer: the correct graph is the one that shows a horizontal segment, followed by a positive slope segment, followed by a flat segment, and then a negative slope segment that is option c.

What is graph?

In mathematics, a graph is a visual representation of a set of objects and the connections between them. The objects, which are often called vertices or nodes, are typically represented by points or circles on the graph. The connections between the objects, which are often called edges or arcs, are typically represented by lines or curves connecting the points or circles.

Here,

To represent Marie's situation in a graph, we need to plot her golf cart's distance from the first hole over time. Let's analyze the given information to determine what the graph should look like.

For the first 30 minutes, Marie stayed at the first hole, so her distance from the first hole would be 0 during that time.

For the next 2 hours, Marie drove away from the first hole. Her distance from the first hole would increase during this time.

After 2 hours of driving, Marie stopped for lunch. Her distance from the first hole would remain constant during this time.

After lunch, Marie took 2 more hours to drive back to the first hole. Her distance from the first hole would decrease during this time.

The x-axis represents time in hours, and the y-axis represents distance from the first hole in miles. The graph starts at the origin, where the golf cart stays for the first 30 minutes, and then goes up with a positive slope for 2 hours as the golf cart moves away from the first hole. Then, the graph remains flat for 1 hour during lunch, before going down with a negative slope for 2 hours as the golf cart returns to the first hole.

As a result, the right graph is option c, which displays a horizontal section followed by a positive slope segment, a flat segment, and then a negative slope segment.

Step-by-step explanation:

The value of the sample proportionThe sample proportion is the percentage of individuals in a sample who have the attribute of interest. As a result, the sample proportion is computed by dividing the number of students who answered "yes" by the total number of students surveyed.

Here's the computation:Sample proportion= 220/400= 0.55Therefore, the sample proportion is 0.55.b. The standard error of the sample proportionThe standard error of the sample proportion can be determined using the following formula:Standard error of Standard error of the sample proportion= √[(0.55 * 0.45)/400]= √(0.00061875)= 0.0249Therefore, the standard error of the sample proportion is 0.0249.c. Constructing an approximate 95% confidence interval for the true proportion

A confidence interval is a range of values around a sample statistic, such as the sample proportion, that is expected to contain the true value of the population parameter with a certain degree of confidence. A 95 percent confidence interval implies that we are 95 percent certain that the true population parameter is within the specified interval.Let's first compute the margin of error:Margin of error= z* √[(p*q)/n]wherez= critical value of the standard normal distribution for a 95% confidence level= 1.96Margin of error= 1.96* √[(0.55*0.45)/400]= 0.0487Therefore, the margin of error is 0.0487. Now that we have the margin of error, we can construct the confidence interval using the following formula:Confidence interval= sample proportion ± margin of error= 0.55 ± 0.0487= (0.5013, 0.5987)Therefore, an approximate 95 percent confidence interval for the true proportion is (0.5013, 0.5987).

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Answer:

13 x 158

Step-by-step explanation:

L= 2W

A= 315 sq ft^2

A= L*W

315= 2W* W

315/2= 158 = w^2

W^2= 158

W=\(\sqrt{158}\)

W= 13

The rug should have a dimension of 15 ft wide and 21 ft long.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Let the length of the room be l and h be the width.

So, given that,

l = 19 ft

h = 25 ft

Let w be the width of rug,

Since Cynthia can afford to buy 315 square feet of carpeting

So, area of the rug should be given as,

l*h = 315

Now to carpet the room along its dimension, each side of the width is

w + w = 2w.

So, l =25 - 2w

h = 19 - 2w

Now, ∵ l*h = 315

Put the values we get,

(25 - 2w)*(19 - 2w)  = 315

expanding we get,

4w² - 88w + 475 = 315

or, 4w² - 88w + 160 = 0

or, w² - 22w + 40 = 0

using the quadratic equation we get two solutions:

w = 2

w = 20

Since, w = 20 is greater than one of the width of the room i.e 19ft

So,we take the solution w = 2

Thus, dimensions of rug is given as,

l = 25 - 2*2 = 21 ft

h = 19 - 2*2 = 15 ft

Thus, the rug should have a dimension of 15 ft wide and 21 ft long.

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Answer:

47

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

can I get how you solved it

Answer:

9. 89

Step-by-step explanation:

A squared + B squared = C squared

7 squared + 7 squared = 98 squared

Find the square root of 98 (I recommend using a calculator)

You should get 9.89 as an answer.

Answer: 60°

First let's notice how all of the angles are on a straight line

We know that straight lines must equal to 180°

Let's take our given angles and add the together

63°+26°+31°=120°

Now we take 180° and subtract is from 120° to give us angle x

180°-120°=60°