For every quad, there are 4 wheels. Complete the
chart to show how many wheels there would be,
following this pattern.

Step-by-step explanation:

Factors of 21 are 1, 3, 7 and 21.

a + f + t cannot be 1 or 3 as it cannot be written as a sum of 3 distinct digits, so it is 7.

The smallest 3 remaining digits are 2, 5 and 6 which add to 13.

So there are no solutions.

Answer: 12

Step-by-step explanation:

21 = 21 x1 3x7

=1x3 expand over3= 12

Yes, Triangle ΔABC is an isosceles triangle.

The properties of the triangle are:

We can prove that triangle ABC is an isosceles triangle using the fact that BCD is a straight line, and the angles of a triangle add up to 180 degrees.

First, we note that the angles of triangle ABC add up to 180 degrees:

∠ABC + ∠ACB + ∠BAC = 180 degrees

Since ∠ACD and ∠ACB are adjacent angles, we know that:

∠ACD + ∠ACB = 180 degrees

Substituting the value of ∠ACD (117 degrees) into this equation gives:

117 degrees + ∠ACB = 180 degrees

Simplifying, we get:

∠ACB = 63 degrees

Now we can rewrite the equation for the sum of the angles of triangle ABC as:

∠ABC + 63 degrees + ∠BAC = 180 degrees

Substituting the value of ∠ABC (54 degrees) and simplifying, we get:

∠BAC = 63 degrees

Since ∠ABC = ∠BAC, we have shown that triangle ABC is an isosceles triangle.

Reasoning:

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Answer:

-203

Step-by-step explanation:

(10−3)×(3−2^5 )

Subtract 3 from 10 to get 7.

7(3−2^5 )

Calculate 2 to the power of 5 and get 32.

7(3−32)

Subtract 32 from 3 to get −29.

7(−29)

Multiply 7 and −29 to get −203.

−203

Answer:

9 3/4! I hope this helps!

Step-by-step explanation:

Answer:

yessss my dear

I hope to help you

Answer:

1.2

Step-by-step explanation:

[tex]\frac{3x2}{5}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2

Answer: 6/5

Step-by-step explanation:

Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042

This outcome would warrant a replacement cup.

Step-by-step explanation:

Let x be a random variable that represents the temperature of hot chocolates.

GIven: Mean temperature = 175 degrees

standard deviation = 8.1 degrees

The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]

[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]

Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)

i.e. this outcome would warrant a replacement cup.

Answer:

7.1414284285

answer...

Answer:

680700

Step-by-step explanation:

this method can calculate more quickly

Answer:

$9.19

Step-by-step explanation:

We are given that

Cost of each ticket=$3

Average profit per ticket=$1

Expect gain for ticket purchaser must be -$1

Let x be the cost of first prize

Probability of first prize=0.15

Probability of second prize=0.30

Probability of third prize=0.45

Cost of second prize=$1.15

Cost of third prize=$0.74

Total probability=0.15+0.30+0.45=0.9

Probability of winning =0.9

Probability of losing=1-0.9=0.1

According to question

[tex]x(0.15)+0.30(1.15)+0.74(0.45)-3(0.1)=-1[/tex]

[tex]0.15x+0.378=-1[/tex]

[tex]0.15x=-1-0.378[/tex]

[tex]0.15x=-1.378[/tex]

[tex]x=-\frac{1.378}{0.15}=-9.19[/tex]

Hence, she spend money on each first prize=$9.19

Answer: D - Mr. Lopez and Mrs. Foster

Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class

Answer:

A.

Step-by-step explanation:

Answer:

A .she will need more inches than feet because feet are larger

Step-by-step explanation:

Answer:

Step-by-step explanation:

No solution. Lines M and P have the same slope but different y-intercepts., so they are parallel lines.

Parallel lines don’t intersect each other, so there is no solution.

Answer:

13a+15b+18 is the answer hope it helps

Answer:

[tex]5(a+3b)+6+8a+12=13a + 15b + 18[/tex]

Step-by-step explanation:

Expanding rules (and rearranging) gives us that

[tex]5(a+3b)+6+8a+12\\= (5a + 15b) + 8a + (6 + 12)\\= (5a + 8a) + (15b) + (18)\\= 13a + 15b + 18[/tex]

Answer:

glacier one is moving faster

Step-by-step explanation:

rate at which Glacier 1 is moving:

3.63 / 3  =  1.21 cm per day

rate at which Glacier 2 is moving:

5.75 / 5  =  1.15 cm per day

Answer:

[tex]\displaystyle \lim_{x \to 0^-} f(x) = -1 \\ \lim_{x \to 0^+} f(x) = 1 \\ \lim_{x \to 0} f(x) = DNE[/tex]

General Formulas and Concepts:

Algebra I

Calculus

Limits

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \frac{|x|}{x}[/tex]

Step 2: Graph/Evaluate

Graph the function so we can evaluate the given limits. See attachment.

We see from the function that when we approach 0 from the left, we will get a -1.

∴ [tex]\displaystyle \lim_{x \to 0^-} f(x) = -1[/tex]

We see from the function that when we approach 0 from the right, we will get a 1.

∴ [tex]\displaystyle \lim_{x \to 0^+} f(x) = 1[/tex]

Since the limit from the left does not equal the limit from the right, the limit as x approaches 0 of f(x) does not exist (DNE).

Answer:

Noah spent 4/8 of his allowance on Monday.

Step-by-step explanation:

Given that Noah spent some of his allowance on Monday, 1/8 of his allowance on Tuesday, 1/8 of it on Wednesday and 2/8 of it on Thursday, and has none of his allowance money left, to determine what fraction of his allowance did he spend on Monday the following calculation must be performed:

8/8 - (1/8 + 1/8 + 2/8) = X

8/8 - 4/8 = X

4/8 = X

Therefore, Noah spent 4/8 of his allowance on Monday.

Answer: The answer is (4, 600)

Step-by-step explanation:

Answer: 0.4575

Step-by-step explanation:

.915/2

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

Answer:

3 . - 10d - 6

Step-by-step explanation:

-2(6d-1) + 2(d-4)

= - 12d + 2 + 2d - 8

= - 10d - 6

Hope it will help :)❤

Answer:

(x+2)^2

Step-by-step explanation:

Answer:

See inside.

Step-by-step explanation:

Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.

Answer:

56b + 28f + 28p

Step-by-step explanation:

i think

Answer:

x = 34

y = 21

thus the two numbers are 34 and 21...

The smaller number is 21, and the larger number is 34 when the sum of two numbers is 55. The large number is 13 more than the smaller number.

Let's assume the smaller number is represented by x.

According to the given information, the larger number is 13 more than the smaller number. So, the larger number can be represented as (x + 13).

The sum of the two numbers is 55. We can set up the equation:

x + (x + 13) = 55

Simplifying the equation:

2x + 13 = 55

Subtracting 13 from both sides:

2x = 42

Dividing both sides by 2:

x = 21

Now that we have found the value of x (the smaller number), we can find the larger number by substituting it back into the expression (x + 13):

Larger number = x + 13 = 21 + 13 = 34

Therefore, the smaller number is 21, and the larger number is 34.

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Answer:

H0: μ ≥ 16

H1: < 16

−2.748749;

0.011275;

Reject the Null

Step-by-step explanation:

Given the data:

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Null hypothesis ; H0: μ ≥ 16

Alternative hypothesis ; H1: < 16

Sample size, n = 10

From the data:

Using calculator,

Sample mean, m = 15.887

Standard deviation, s = 0.13

The test statistic, T

(m - μ) / s/sqrt(n)

(15.887 - 16) / (0.13/sqrt(10))

= −2.748749

Using the p value from test statistic calculator :

Degree of freedom (df) = 10 - 1 = 9 at 0.05 significance level is 0.011275

Since the p value is < 0.05

0.011 < 0.05

We reject the Null and conclude that the mean fill weight is less than 16 oz

Answer:

Selling price= $6.53

Step-by-step explanation:

Giving the following information:

A bookstore pays $4.50 for a novel. The percent of markup is 45%.

To calculate the selling price, we need to use the following formula:

Selling price= purchase price*(1 + mark up percentage)

Selling price= 4.5*1.45

Selling price= $6.53

Answer:

Null Hypothesis: H₀ : μ < 214 miles

Alternative Hypothesis :H₁: μ> 214 miles

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 12

The mean of the Population = 214 miles

The mean of the sample   = 198 miles

The standard deviation of the sample = 42 miles

Level of significance = 0.01

Step(ii):-

Null Hypothesis: H₀ : μ < 214 miles

Alternative Hypothesis :H₁: μ> 214 miles

Test statistic

             [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

             [tex]t = \frac{198 -214}{\frac{42}{\sqrt{12} } }[/tex]

          |t| = |- 1.319| = 1.319

Degrees of freedom   = n-1 = 12 -1 =11

critical value  [tex]t_{(0.005 , 11)} = 3.4966[/tex]

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles