Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)

Answer:

[tex]|p-q|-(|p|-|q|) = 20[/tex]

Step-by-step explanation:

First let's find the value of 'p-q':

[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]

To find |p-q| (module of 'p-q'), we can use the formula:

[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]

Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]

[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]

Then, evaluating |p-q|-{|p|-|q|}, we have:

[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]

[tex]\frac{5^{8+-2}}{5^4}[/tex]

[tex]\frac{5^{6}}{5^4}[/tex]

[tex]5^{6-4}[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Answer:

60

Step-by-step explanation:

360-95-120-85=60

Answer:

ED ≈ 2.6 units

Step-by-step explanation:

Using the Sine rule in Δ DEF

[tex]\frac{FD}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex]

[tex]\frac{6.95}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex] ( cross- multiply )

ED sin115° = 6.95 sin20° ( divide both sides by sin115° )

ED = [tex]\frac{6.95sin20}{sin115}[/tex] ≈ 2.6 ( to the nearest tenth )

Answer:

rose 8

Step-by-step explanation:

-6fahrenheit plus 8 = 2 it took four hours to rise 8 i think

Answer:

1/8

Step-by-step explanation:

[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]

The first question was answered on another page.

As for your second question, you are unfortunately not correct.

We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.

So we have...

We see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.

This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".

Answer:

Its the first one

Step-by-step explanation:

10 and x is Greater than -2

Answer:

9.5

Step-by-step explanation:

the numbers go up by 1.5

so, 7.5 + 1.5 = 9

Answer:

R$49.02

R$49.09

Step-by-step explanation:

Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:

[tex]V = 1.02*48\\V=R\$48.96[/tex]

O valor a ser pago n dias após o dia 13 de abril é dado por:

[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]

No dia 17 de abril, n =4 e o valor a ser pago é:

[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]

Caso n =8, o valor a ser pago seria:

[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]

Step-by-step explanation:

Given a point (4,80) and a slope, m = 60, these can be used to formulate the equation of the graph. Using the point-slope formula:

y - y1 = m(x - x1)

y - 80 = 60(x - 4)

y - 80 = 60x - 240

y = 60x -160

Taking the x and y-intercepts:

At y = 0

0 = 60x - 160

x = 2.7

At x = 0

y = 60(0) - 160

y = -160

The answer is A. Hope this helps ✌️

Answer: (b - 4)(b - 3); b = 4 and 3

Step-by-step explanation:

ima assume these are exponents since you didnt care to correctly write the equation.

What two numbers multiply to equal 12, but add to equal -7? That's -4 and -3

So the factored form of this trinomial is (b - 4)(b - 3) = 0. Make each of these expressions equal to 0 in order to get your answer.

Answer:

1/3

Step-by-step explanation:

If you add all the n's, it would make 3n=1.  Divide both sides by 3 and get n=1/3

Answer:

0.333 or 1/3

Step-by-step explanation:

0.333*3=1

Answer:

yes it's equal because, if -2 and 1.5 it's the same so it would be x=2.3

Step-by-step explanation:

2.4

Answer:

A triangle has side lengths 18, 24, x.

18 + 24 = x

18 squared + 24 = x

(18 + 24) squared = x squared

18 squared + 24 squared = x squared

Step-by-step explanation:

The right triangle hypotenuse has its length 18² + 24² = x².

In a right triangle, the "side opposite to the right angle is hypotenuse".

According to the question,

In right angle triangle,  sides are 18, 24, x. Where 'x' is the hypotenuse  of the right angle triangle. In right angle the opposite angle is 90⁰ . In order

to find hypotenuse,  

18 + 24 = x

18² +24 =x

(18+  24) ² = x²

18² + 24² = x²

Hence, the right triangle hypotenuse has its length 18² + 24² = x².

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Answer:

Yes, she can.

Step-by-step explanation:

We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.

The surface area of a rectangular prism is given as:

A=2(wl+hl+hw)

where w = width, l = length, h = height

The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:

A = 2[(7 * 15) + (9 * 15) + (9 * 7)]

A = 2[105 + 135 + 63]

A = 2 * 303 = 606 square inches

1 square inch = 0.000771605 square yards

=> 606 square inches = 606 * 0.000771605 = 0.468 square yards

Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.

Answer:

1/8÷7

Step-by-step explanation:

I think

Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

constant it will keep going up and it won't stop

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

We need to check whether the given graph is increasing, decreasing, or constant.

Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.

From the given graph we can see that the line is increasing from left to right.

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

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Answer:

[tex]7n-6, \: 4n+8[/tex]

Step-by-step explanation:

[tex]+7[/tex] difference.

So it becomes [tex]7n[/tex].

[tex]7(1)+c=1[/tex]

[tex]c=-6[/tex]

Therefore, the nth term becomes:

[tex]7n-6[/tex]

[tex]+4[/tex] difference.

So it becomes [tex]4n[/tex].

[tex]4(1)+c=12[/tex]

[tex]c=8[/tex]

Therefore, the nth term becomes:

[tex]4n+8[/tex]

Answer:

a) 7n-6

b) 4n+8

Explanation:

a) 7 times tables but take away 6 for the start

b) 4 times tables but add 8 for the start

Answer:

≈93.6

Step-by-step explanation:

percent right = answers right/ anwers wrong

Answers right= 47-3=44

%=44/47

≈93.6

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

Step-by-step explanation:

In Triangles WUV and XZY:

[tex]\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.[/tex]

Therefore:

[tex]\triangle UWV \cong \triangle XZY[/tex]

To show that the triangles are similar by the SSS similarity theorem, we have:

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

As a check:

[tex]\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25[/tex]

The correct option is A.

Answer:

answer is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:

[tex]y=a(x-h)^2+k[/tex] , where h and k are from the vertex and x and y are from the point. Filling in:

[tex]12=a(8-5)^2+3[/tex] and

[tex]12=a(3)^2+3[/tex] and

[tex]12=9a+3[/tex] and

9 = 9a s0

a = 1.

Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

[tex]y=1(x-5)^2+3[/tex]

Answer:

y =  1 (x +  -5 )2 + 3

Step-by-step explanation:

The difference of six times and seven results in 35.

Difference - subtract

Times - multiply

Result - answer

The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.

6x - 7 = 35

The answer would be...

B. Divide by 6, and then subtract by 7.

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

Answer:

12.5

its right

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many numbers that lie between 0 and -1

Some common numbers are -1/4 , -1/2 , -3/4 , etc.........

Other numbers can be found by multiplying the numerator and denominator by the same number for example, 10

0/1 × 10/10 = 0/10

-1/1 × 10/10 = -10/10

Now the numbers between 0/10 and -10/10 are :

-1/10, -2/10....................................-9/10 etc.

hope this helps

plz mark it as brainliest!!!!!!!

The numbers lies between 0 and -1 shown below:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.

To find the number lies between 0 and -1, we have to

0/1 and -1/1

0/1* 10/10 and -1/1*10/10

so, we have to find in between 0/10 and -0/10

-1/10, -2/10, -3/10, -4/10, ............................ -9/10

Hence, the numbers are -1/10, -2/10, -3/10, -4/10, ............................ -9/10.

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Answer:

Each Cup has 3/8

Step-by-step explanation:

Divide

Answer:

a) 7(8)+9 (12)

b)7x+45

c )10 hours

Step-by-step explanation:

Hi, to answer this question we have to write an expression

The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):

7x+ 9y

a) substitute x=8 and y=12

7 (8)+ 9 (12)

b) substitute y =5

7 x +9(5) =

7x+ 45 =

c)

Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):

7x+9 (5)=115

Solving for x:

7x + 45 =115

7x = 115-45

7x = 70

x =70/7

x =10 hours

Answer:

B 1/7^2

D 7^-10 / 7^-8

Step-by-step explanation:

7^-2

We know that a^-2 = 1/a^2

1/7^2 = 1/49

We also know that anything with a power of 2 in the denominator is good

7^-8 / 7^-10 = 7^2  

7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69  that is the second answer

Answer:

Step-by-step explanation:

Answers C and D are correct.  

Note that in C we have    7^(-8)

                                         ---------- ,  

                                          7^(-10)

which is equivalent to 7^(-8 + 10), or 7^2, or 49.