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Answer:

520 cars

Step-by-step explanation:

Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520

If there was an increase of 5% on the number of cars sold in March, the number of cars sold in March was approximately 520.

To calculate the number of cars sold in March, we'll use the information that the number of cars sold in April was an increase of 5% compared to March.

Let's assume the number of cars sold in March is represented by 'x'.

According to the given information, the number of cars sold in April was 546, which is equal to 100% + 5% of the number of cars sold in March.

We can set up the equation:

x + 0.05x = 546

Combining like terms, we get:

1.05x = 546

To solve for 'x', we divide both sides of the equation by 1.05:

x = 546 / 1.05

Using a calculator, we find:

x ≈ 520.00

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Hey There!!~

Your best answer choice is B). x > 1.

Good Luck!!

Answer:

5.41 m

Step-by-step explanation:

First, let's find a side length by taking the square root of the area.

117/64 ^ 1/2 = 1.352...

Next, we need to multiply by 4.

1.352... x 4 = 5.408...

= approximately 5.41

Answer:

Jillian spent $14.49 altogether.

Step-by-step explanation:

Let a = pounds of apples, p = pounds of peanuts, and t = total cost

t = 3.09a + 0.87p

t = 3.09(3) + 0.87(6)

t = 9.27 + 5.22

t = 14.49

Answer:

option 2 or y + x -2 = 0

Step-by-step explanation:

Given a line on a graph, it is easiest to start with point-slope form.

y = mx + b

where m is the slope (rise/run) and b is the y-axis intercept.

From the plot m = -2/2 = -1 and b = 2 SO

y = mx + b

y = -x  + 2

Then the general form is

y + x -2 = 0

This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

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The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60

This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:

[tex]H_0: p = 0.6[/tex]

At the alternative hypothesis, we test if the proportion is different of 0.6, that is:

[tex]H_1: p \neq 0.6[/tex]

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Decision rule:

Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of [tex]|Z_c| = 1.645[/tex], and the decision rule is:

Accept the null hypothesis: [tex]|Z| < 1.645[/tex]

Reject the null hypothesis: [tex]|Z| > 1.645[/tex]

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Test statistic:

[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.

0.6 is tested at the null hypothesis:

This means that [tex]\mu = 0.6, \sigma = 0.4[/tex]

75 out of a sample of 140:

This means that:

[tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]

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Value of the test statistic:

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

[tex]z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}[/tex]

[tex]z = -1.55[/tex]

So |z| = 1.55

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Decision:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

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Answer:

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)

Step-by-step explanation:

The given expression is -5·t² + 5·t + 24

To factorize the expression by completing the square method, we equate the expression to zero to get;

-5·t² + 5·t + 24 = 0

WE divide by -5 to get;

t² - t - 24/5 = 0

t² - t = 24/5

t² - t + 1/4 = 24/5 + 1/4

(t - 1/2)² = 5.05

t - 1/2 = ±√5.05

t = 1/2 + √5.05, 1/2 - √5.05

The factorized expression becomes;

(t - 1/2 + √5.05) and (t - 1/2 - √5.05)

Which gives;

(t - 2.747) ×(t - 1.747)

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).

Answer:

1/6

Step-by-step explanation:

since they already tells us six has been rolled already, we depend on the second which can only show 1-6. There are six numbers so the answer is 1/6

Answer:

B) x < 9

Step-by-step explanation:

√x < 3

(√x)² > 3²

x < 9

Answer:

Step-by-step explanation:

Answer:

no, because the number is not repeating

Step-by-step explanation:

Answer:

JK = 24

Step-by-step explanation:

Δ BKJ and Δ BCA are similar and ratios of corresponding sides are equal, that is

[tex]\frac{JK}{AC}[/tex] = [tex]\frac{BK}{BC}[/tex] , substitute values

[tex]\frac{JK}{40}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5JK = 120 ( divide both sides by 5 )

JK = 24

Answer:

d

Step-by-step explanation:answer is d on edg

Answer:

y+1/12.5=2/5

or,5y+5=25

ory=20/5

so, y=4

Step-by-step explanation:

hope it helps you

Answer:

The apartment with the number 207 is in the second floor of the building that comes before the building with apartments numbered 109, 110, 111, and 112

Step-by-step explanation:

The given information of the naming of the apartments are;

The four apartments on the first floor of the building were numbered, 109, 110, 111, and 112

Therefore;

The first digit number, 1, which is consistent, represent the floor number (first floor)

The buildings in the complex are 9-story buildings, with 9 × 4 = 36 Apartments each

Therefore, for the numbers of the apartment to be from 9 to 12, on the floor, the numbering of the apartments is sideways such that the numbers of the apartment in the given building will be X09, X10, X11, and X12, where X is the floor number

The previous building apartment will be numbered X05, X06, X07, X08

Therefore, the apartment with the number 207 is in the second floor of the previous building to the one given.

Answer:

Apartment 207 is in 7th floor of the building number 6 .

Step-by-step explanation:

Given:

There are 9 floors in the building

The number of building and floor of apartment 207 .

Each floor in the building has four apartments

The number of apartment in a building = 4 * 9 = 36

Numbers on each floors are 01 to 36 after floor number

first floor of one of the buildings, we have four apartments numbered 109, 110, 111, and 112.

From the numbers, 1 is representing the floor number

9 , 10 , 11 & 12 are representing four apartments number

Recall,

Each floor has 4 apartments

207 = 36 * 5 + 4 * 6 + 3

36 * 5 = 5 buildings

4 * 6 = 6 floor of 6th building

180+24=204

205 - 208 =6th building 7th floor

Apartment 207 is in 7th floor of the building number 6 .

Answer:

B

Step-by-step explanation:

The student's mistake was between Step 1 and Step 2.

Here, on the left side, they added 6x and 2x. The result should be 8x, not 4x.

It should be 8x-15=3x-75, not 4x-15=3x-75.

Answer:

X = 5

Answer:

The evening temperature is 4° F

Step-by-step explanation:

6° F below 0 =  -6.

15° F. -6 + 15 is 9.

9° F. 5° F. 9 - 5 = 4

Answer:

x = 7 e y = -24

Step-by-step explanation:

The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

A circle can be characterized by its centre's location and its radius's length.

Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)²+(y-k)²=r²

The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.

Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.

Therefore, the radius of the circle will be,

Radius = √[(7-0)² + (-24 - 0)²]

           = √(49 + 576)

           = √(625)

           = 25

Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,

(x - h)² + (y - k)² = r²

[x - 7]² + [y - (-24)]² = (25)²

(x - 7)² + (y + 24)² = 625

Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

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Answer:

D. 0.74.

Step-by-step explanation:

It is a BINOMIAL trial, which means that there are only two outcomes: either success, or failure.

So, if the probability of success is 0.26, the probability of failure will be 1 - 0.26 = 0.74.

Hope this helps!

Answer:

SSS

Step-by-step explanation:

We know all three sides of both triangles. The common ratio of DEF to GHI is 2/3.

Answer:

SSS

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.

Answer:

Base = 2 cm and height = 6 cm.

Step-by-step explanation:

Area = 1/2 * base + height

Let b be the base and h = height of the given triangle, then

6 = b/2 * h

6 = b/2(b/2 + 5)

b^2/4 + 5b/2 - 6 = 0

b^2 + 10b - 24 = 0

(b + 12)(b - 2) = 0

b = 2  (we neglect the negative b = -12)

So h = b/2 + 5 = 2/2 + 5 = 6.

Step-by-step explanation:

(2+3)(2-3)

=5×(-1)

= -5

good morning

have a great day

Answer:

Yes and the equation is 2y=-x-7

Step-by-step explanation:

Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7

Answer:

sorry on the wrong one

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

29 is the ffggy and the

Answer:

C 100 inches/ minute * 1 ft/ 12 inches

Step-by-step explanation:

100 inches/ minute

We need to convert inches to ft

12 inches = 1 ft

100 inches/ minute * 1 ft/ 12 inches

Answer:

See figure below.

Step-by-step explanation:

Start with each expression in the right column.

Combine like terms, and look for the answer in the left column.

See figure below.

Answer:

:4t+8=1-9t+7+6t+7t.

:-2t-9=2t-t-4-3t-5.

:-4t+8=-5t+8+t.

:2t-9=-t+3+3t-12.

Answer:

B. Congruent - SSS

Step-by-step explanation:

Since, corresponding sides of both the triangles are congruent. Hence, both the triangles are congruent by SSS Postulate.

ΔMNO ≅ ΔPQR due to Congruent-SSS

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given:

In ΔMNO and ΔPQR

Side ME=Side PQ

Side NO=Side QR

Side MO=Side PR

MNO ≅PQR

Since, corresponding sides of both the triangles are congruent.

So, both the triangles are congruent by SSS Postulate.

Hence , ΔMNO ≅ ΔPQR

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Answer:

9). h² - 7h + 11

10). 2a² + 14a + 16

11). 3

12). 2h + 4x - 3

Step-by-step explanation:

9). If j(x) = x² + x - 1

  j(h - 4) = (h - 4)² +(h - 4) - 1

             = h² - 8h + 16 + h - 4 - 1

             = h² - 7h + 11

10). If f(x) = 2x² + 2x - 8

     f(a + 3) = 2(a + 3)² + 2(a + 3) - 8

                 = 2(a² + 6a + 9) + 2a + 6 - 8

                 = 2a² + 12a + 18 + 2a - 2

                 = 2a² + 14a + 16

11). If f(x) = 3x - 1

   [tex]\frac{f(x+h)-f(x)}{h}=\frac{3(x+h)-1-(3x-1)}{h}[/tex]

                     [tex]=\frac{3x+3h-1-3x+1}{h}[/tex]

                     = 3

12). If, f(t) = 2t² - 3t + 7

     [tex]\frac{f(x+h)-f(x)}{h}=\frac{2(x+h)^{2}-3(x+h)+7-(2x^2-3x+7)}{h}[/tex]

                        [tex]=\frac{2(x^2+h^2+2hx)-3x-3h+7-2x^2+3x-7}{h}[/tex]

                        [tex]=\frac{2x^2+2h^2+4hx-3x-3h+7-2x^2+3x-7}{h}[/tex]

                        [tex]=\frac{2h^2+4hx-3h}{h}[/tex]

                        = 2h + 4x - 3