A national standardized test is graded on a scale from 1 to 5. The scores for a particular school are given below. If a student is chosen at random, what is the probability that they scored a 4 or a 5?

If m = 7x + 7, m = 4y, and m = 112

since m = 112

112 = 7x + 7

112 - 7 = 7x

105= 7x

x = 15

112 = 4y

y = 28

Answer:

-3

Step-by-step explanation:

Step 1: Write expression

(-4) + 1

Step 2: Add

-3

Answer:

Step-by-step explanation:

-4y = -2x - 3

y = 1/2x + 3/4

y - 4 = 1/2(x + 1)

y - 4/2 = 1/2x + 1/2

y = 1/2x + 5/2

Given that:

The company uses its cargo vans to deliver packages to locations at a 75-mile radius  from the warehouse.

If delivery location is within 8 miles of the delivery boundary, a cargo van will still be used.

To find: The inequality to represent the instances when a vehicle other than a cargo van is used.

Solution:

Let x is the distance of a location from the warehouse.

Cargo van will be used if delivery location is within 8 miles of the delivery boundary.

Minimum distance for delivery = 75-8 = 67 miles.

Maximum distance for delivery = 75+8 = 83 miles.

So, the company  uses cargo vans for any distance in the range 67 miles to 83 miles. So,

[tex]67\leq x\leq 83[/tex]

Therefore, the required inequality is [tex]67\leq x\leq 83[/tex].

Answer:

(15-7)-(8-3)

Step-by-step explanation:

1.

[tex]7+(31-4)(2)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(31-4\right)\::\quad 27\\\\=7+27\left(2\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\left(2\right)\:\\:\quad 54\\\\=7+54\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:7+54\:\\:\quad 61[/tex]

2.

[tex]-212-(-3)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-212+3\\\\=-209[/tex]

3.

[tex](15-7)-(8-3)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(15-7\right)\::\quad 8\\\\=8-\left(8-3\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\\\=8-5\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:8-5\:\\:\quad 3[/tex]

4.

[tex]-5[7+(-14)]-30\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left[7+\left(-14\right)\right]\::\quad -7\\\\=-5\left(-7\right)-30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-5\left(-7\right)\::\quad 35\\\\=35-30\\\\= 5[/tex]

Answer:

d(3) = - 25

Step-by-step explanation:

Using the recursive formula with d(1) = 3, then

d(2) = d(1) - 14 = 3 - 14 = - 11

d(3) = d(2) - 14 = - 11 - 14 = - 25

Thus the 3 rd term in the sequence is - 25

Answer:

There will be lots

Step-by-step explanation:

It is actually infinite.

Answer:

C. Yes, because every x-value corresponds to exactly one y-value.

Answer:

6

Step-by-step explanation:

6

Answer:

6

Step-by-step explanation:

Find the number in the whole number place

6

6

and look one place to the right for the rounding digit on the right side of the decimal point

4

4

.Round up if this number is greater than or equal to

5

5

and round down if it is less than

5

5

.

6

Answer:

9x9x9x9x9x9

Step-by-step explanation:

Answer:

18 is the correct answer

Answer:

amanda

Step-by-step explanation:

25 yards / 30 seconds = 50 yards / 1 minute

50 yards * 60 mins = 3000 yards / hour

Amanda swims 3000 yards in one hour

McKinly swims 1000 yards in one hour

Amanda can swim faster than Mckinly

Answer:

Step-by-step explanation:

200 ; 2^3 x 5^2

Step-by-step explanation:

Hey there!

Your required answer is option B.

Here,

Given,

The figure is an equilateral triangle with, side (7x+9) and (x+27).

By the defination of equilateral triangle we have,

All sides of equilateral triangle are equal.

So,

[tex]( 7x+ 9) = x + 27[/tex]

Simplify them to get answer.

[tex]7x - x = 27 - 9[/tex]

[tex]6x = 18[/tex]

[tex]x = \frac{18}{6} [/tex]

Therefore the value of x is 3.

Hope it helps...

The value of x in the figure is:

B) x = 3

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The signs on the three sides of the triangle indicate that all the sides of the figure are equal. Thus, we can say:

7x + 9 = x + 27

7x - x = 27 - 9

6x = 18

x = 18/6

x = 3

Therefore, the value of x is 3.

Learn more about Trigonometry on:

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Answer:

[tex]-9x[/tex]

Step-by-step explanation:

Add/Subtract the terms:

[tex]-3x-6x=-9x[/tex]

Answer: C

Step-by-step explanation: i just had that answer

Answer:

C

Step-by-step explanation:

I did the test

Answer:

Angle 1 is 30° and angle 2 is 150°

Step-by-step explanation:

Let angle 1 is  a, angle 2 is b and we got b = 5a

and

Answer:

what do you need help with

Step-by-step explanation:

Answer:

Answer:1 1/4, 1/10, -1 3/4, -3

Step-by-step explanation:

its easy boiiiiiiiiiiiiiii

$$

U

Hello, one way to see it is as below

[tex]\displaystyle F(2)-F(1)=\int_1^2 F'(t) dt=\int_1^2 G'(t) dt=G(2)-G(1)[/tex]

Another way is to notice that F'(x)=G'(x) means that F(x) and G(x) are only different from a real constant that we can note a, it means that

[tex](\forall x \in \mathbb{R}) \ (F'(x)=G'(x)) => (\exists a \in \mathbb{R});(F(x)=G(x)+a)[/tex]

and then F(2)-F(1)=G(2)-G(1)

thanks

Step-by-step explanation:

Hey there!!!

Here, ABCD is a parallelogram.

We know that the one property of a parallelogram is:

So,

3x-10° = x+45°

or, 3x - x = 45°+10°

2x = 55°

[tex]x = \frac{55}{2} [/tex]

Therefore the measure of angle x is 27.5°.

Hope it helps....

Answer:

(a)[tex]\log_3(\dfrac{81}{3})=3[/tex]

(b)[tex]\log_5(\dfrac{625}{25})=2[/tex]

(c)[tex]\log_2(\dfrac{64}{8})=3[/tex]

(d)[tex]\log_4(\dfrac{64}{16})=1[/tex]

(e)[tex]\log_6(36^4)=8[/tex]

(f)[tex]\log(100^3)=6[/tex]

Step-by-step explanation:

Let as consider the given equations are [tex]\log_3(\dfrac{81}{3})=?,\log_5(\dfrac{625}{25})=?,\log_2(\dfrac{64}{8})=?,\log_4(\dfrac{64}{16})=?,\log_6(36^4)=?,\log(100^3)=?[/tex].

(a)

[tex]\log_3(\dfrac{81}{3})=\log_3(27)[/tex]

[tex]\log_3(\dfrac{81}{3})=\log_3(3^3)[/tex]

[tex]\log_3(\dfrac{81}{3})=3[/tex]        [tex][\because \log_aa^x=x][/tex]

(b)

[tex]\log_5(\dfrac{625}{25})=\log_5(25)[/tex]

[tex]\log_5(\dfrac{625}{25})=\log_5(5^2)[/tex]

[tex]\log_5(\dfrac{625}{25})=2[/tex]        [tex][\because \log_aa^x=x][/tex]

(c)

[tex]\log_2(\dfrac{64}{8})=\log_2(8)[/tex]

[tex]\log_2(\dfrac{64}{8})=\log_2(2^3)[/tex]

[tex]\log_2(\dfrac{64}{8})=3[/tex]        [tex][\because \log_aa^x=x][/tex]

(d)

[tex]\log_4(\dfrac{64}{16})=\log_4(4)[/tex]

[tex]\log_4(\dfrac{64}{16})=1[/tex]        [tex][\because \log_aa^x=x][/tex]

(e)

[tex]\log_6(36^4)=\log_6((6^2)^4)[/tex]

[tex]\log_6(36^4)=\log_6(6^8)[/tex]

[tex]\log_6(36^4)=8[/tex]            [tex][\because \log_aa^x=x][/tex]

(f)

[tex]\log(100^3)=\log((10^2)^3)[/tex]

[tex]\log(100^3)=\log(10^6)[/tex]

[tex]\log(100^3)=6[/tex]            [tex][\because \log10^x=x][/tex]

Answer:

Step-by-step explanation:

Move to (6,-2) at the top then at the bottom left (3,-5), after that to on th bottom right is (5,-7)

The required translated figure of a triangle ABC is shown in the image attached.

Question asked to draw the image of ABC under translation by 3 units to the right and 4 units down.

A translation is defined as a type of conversion that takes an individual point in a figure and slides it the same distance in the same direction.

Since the translation of the figure is shifting the figure through certain specified units. because of translation, there is no cause to changes to the measure of the figure. the new figure formed will be congruent to the former figure.

As per the question, we have a triangle ABC, Let applied all the translation processes to point C. coordinate of C is (-3, 1) after translation 3 units right and 4 unit down the new coordinates are (0, -3). similarly Coordinates of A and B also changed corresponding to C.

Thus, the required translated figure of a triangle ABC is shown in the image attached.

Learn more about translation here:

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Answer:

(5,2)

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

PEMDAS

I hope this helped

Answer:

20% profit

Step-by-step explanation:

Given:

Profit:

Profit percent:

Answer:

c.p=1450

s.p=1740

profit=s.p-c.p

=1740-1450

=290

Answer:

Step;      This conversion of 10.03 kilometres to hectometres has been calculated by multiplying 10.03 kilometres by 10 and the result is 100.3 hectometres.-by-step explanation:

Answer:

2 x 2 + 8 + 3 x 2 + 4x - 10

4 + 8 + 8 + 6 + 4x - 10

26 + 4x - 10

20 + 4x

The answer is 20 + 4x

Step-by-step explanation:

Let the number be x

1 2/3% × x = 4.75

5/3% × x = 4.75

(5/3)/100 × x = 4.75

5/3 × 1/100 × x = 4.75

5x/300 = 4.75

5x = 300 × 4.75

x = (300 × 4.75)/5

x = 1425/5

x = 285