What is an equation of the line that passes through the point (-5, -1) and is
parallel to the line 4x + 5y = 45?

Given:

The ratio of red and blue cubes is 4:7.

After adding 10 more red cubes the ratio of red and blue cubes is 6:7.

To find:

The number of blue cubes.

Solution:

The ratio of red and blue cubes is 4:7.

Let the number of red and blue cubes be 4x and 7x respectively.

After adding 10 more red cubes.

Number of red cubes = 4x+10

Then, the ratio of red and blue cubes is 6:7.

[tex]\dfrac{4x+10}{7x}=\dfrac{6}{7}[/tex]

[tex]7(4x+10)=6(7x)[/tex]

[tex]28x+70=42x[/tex]

[tex]70=42x-28x[/tex]

[tex]70=14x[/tex]

Divide both sides by 14.

[tex]5=x[/tex]

Now,

Number of blue cubes in the bag is

[tex]7(5)=35[/tex]

Therefore, the number of blue cubes is 35.

Answer:

The maximum distance between posts is 8 m

Step-by-step explanation:

There is a rectangle-shaped plot where we have to place equidistant posts at the maximum possible distance. The dimensions of the plot are 608 m and 264 m.

The maximum distance between posts is given by the maximum possible divisor of 608 and 264. That number is called the greatest common divisor (GCD).

It can be found by factoring both numbers:

[tex]608 = 2^5*19[/tex]

[tex]264 = 2^3*33[/tex]

The GCD is the product of all common factors with the least exponent. The only common factor is 2 and the least exponent is 3. Thus the GCD is 2*2*2=8.

The maximum distance between posts is 8 m

Answer:

g(x)= -x2-2

Step-by-step explanation:

F(x)=x2

So, the graph of g(x) will shift -2 units in y axis

hence,

g(x)= -x2-2

Answer:

from my knowledge i have made a sample here it is:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Step-by-step explanation:

brainliest?

Answer:

$19.50

Step-by-step explanation:

You can set up a simple equation where t-shirts are represented by t and cost by c.

$78=4t.

To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is

$19.50=1t

And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.

Answer:

0

Step-by-step explanation:

Eg:

-5*0=0

-1*0=0

Answer:

1 mile = 3 ft

Therefore, the number of miles that equal 2800 ft is 2800÷3.

The answer: 933.33

Step-by-step explanation:

Answer:

4Q a). angle1=55°

angle2=23°

angle3=63°

angle4=125°

5Q. x=35°

6Q. y=15°

8Q. C. 28°

9Q. Yes, they are congruent by S.S.S. congruence

10Q. A.A.S.

11Q. S.S.S.

12Q. Not possible

13Q. S.A.S.

14Q. S.S.S.

15Q. 66°

16Q. 24°

I hope it will be useful.

Step-by-step explanation:

7Q. angle1=angle3 (Alternate Interior Angles)

angle2=angle4 (A.I.A.)

angleXWZ=angleXYZ (opposite angles of a parallelogram)

By A.A.A. congruence criteria, they are congruent.

8Q. Hint: Make the diagram first!

AngleC is halved since M is the mid-point.

angleA=angleB (Property of an isosceles triangle)

which implies, angleAMC=angleBMC=90°

Thus, CM is perpendicular to AB.

I hope it will be useful.

Answer:

b. 4(x + 6) = 49

Step-by-step explanation:

Step two:

given data

A quadrilateral has a side length L of x+6 inches

Perimeter= 49 inches.

Required:

the expression for the perimeter of the  quadrilateral given the situation

Step two:

A  quadrilateral has four sides, assume we have a square-shaped quadrilateral

P=4L

49= 4(x+6)

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\displaystyle f(x)=x+1\text{ and } g(x)=\frac{2}{x}[/tex]

And we want to find:

[tex]f(g(x))[/tex]

Therefore, we will substitute the equation for g(x) for the x in f(x). This yields:

[tex]\displaystyle f(g(x))=\big(\frac{2}{x}\big)+1[/tex]

Simplify:

[tex]\displaystyle f(g(x))=\frac{2}{x}+1[/tex]

Hence, our answer is C.

Answer:

$7.87

Step-by-step explanation:

Step one:

given data

For each costume, he needs 2.125 yards of fabric

cost of Fabric is $3.49 a yard

Required

The total cost of making the costume

Step two:

Hence the total cost of fabric needed is = 2.125*3.49= $7.42

sales tax is 6%

= 6/100*7.42

= 0.06*7.42

=$0.45

Therefore total cost of the costume is = 7.42+0.45= $7.87

Answer:

17 units

Step-by-step explanation:

Distance between points [tex](a,b)\,,\,(c,d)[/tex] is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take [tex](a,b)=(-2,2)\,,\,(c,d)=(5,2)[/tex]

[tex]PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7[/tex] units

It goes from Q to R(5, −5)

Take [tex](a,b)=(5,2)\,,\,(c,d)=(5,-5)[/tex]

[tex]QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7[/tex] units

It goes from R to S.

Take [tex](a,b)=(5,-5)\,,\,(c,d)=(8,-5)[/tex]

[tex]RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3[/tex] units

[tex]PQ+QR+RS=7+7+3=17[/tex] units

Answer:

8/15=n/100

Step-by-step explanation:

-4x - 12 = 8

     + 12  +12

-4x = 20

-4     -4

x = -5

To ensure that x equals -5, let's substitute the negative integer with x.

-4 x -5 - 12 = 8

-20 - 12 = 8

8 = 8

Therefore, the answer is x = -5 because we confirmed our answer by substituting x with -5 and solving the equation and got the both sides of the equation equal.

The solution to the equation -4x - 12 = 8 is x = -5.

To solve the equation -4x - 12 = 8, we'll isolate the variable x by performing the necessary steps.

First, we'll add 12 to both sides of the equation to eliminate the constant term on the left side:

-4x - 12 + 12 = 8 + 12

This simplifies to:

-4x = 20

Next, we'll divide both sides of the equation by -4 to isolate x:

(-4x)/-4 = 20/-4

This yields:

x = -5

Hence, the solution to the equation -4x - 12 = 8 is x = -5.

By performing the necessary operations of addition, subtraction, and division, we have determined that x is equal to -5, satisfying the equation. This can be verified by substituting x = -5 back into the original equation and confirming that both sides are equal.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

Answer:

x = 4 i think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]tan\ x = 0.5\\\\\frac{sin\ x}{cos\ x}=0.5\\\\sin\ x=0.5(cos\ x)\\\\1=0.5(\frac{cos\ x}{sin\ x})\\\\1=0.5(cot\ x)\\\\\frac{1}{0.5}=cot\ x\\\\2=cot\ x \\[/tex]

Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as:  [tex]A1=\frac{(base)(height)}{2}[/tex]

Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]

Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:

a is short base

b is long base

h is height

1) Expressing areas in terms of x:

Area of triangle S1:

[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]

[tex]S1=4x^{2}-12x+9[/tex]

Area of rectangle S2:

[tex]S2 = (4x-6)(3x-2)[/tex]

[tex]S2=12x^{2}-26x+12[/tex]

Area of trapezoid S3:

[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]

[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]S3=6x^{2}-5x-6[/tex]

2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]

[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]

[tex]S=10x^{2}-33x+37[/tex]

Which is the same as S = (2x-3)(5x-9)

b) For the areas to be the same:

[tex]\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]

[tex]20x^{2}-66x+54=0[/tex]

Using Bhaskara to solve the second degree equation:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]

[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8

[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5

For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.

c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:

[tex]S=(2x-3)(5x-9)[/tex]

[tex]S=10x^{2}-18x-15x+27[/tex] (expand)

[tex]S=10x^{2}-33x+27[/tex] (reduce)

d) For area of AFCG to be bigger than area of ADEB by 27:

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]

[tex]20x^{2}-66x+27=0[/tex]

Solving:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]

[tex]\frac{66+46.86}{40}[/tex]

[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82

[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48

According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82

Answer:

Step-by-step explanation:

Challenge # 1

Line has a negative slope with positive slope.

Therefore, equation will be,

y = 1.5x - 6

Parallel line to the given line will have same slope = 1.5 but with different y-intercept.

Equation of the parallel line → y = 1.5x + 6

Challenge # 2

Line has a negative y-intercept = -1 (Approx.)

Slope of the line = negative

Therefore, equation of the line will be,

y = -3.7x -1

Line parallel to the given line will have same slope but different y-intercept.

Equation of the parallel line → y = -3.7x + 1

Challenge # 3

Line with negative slope and no y-intercept.

y = -0.8x

Parallel line to the given line will have same slope and different y-intercept.

Equation of the parallel line → y = -0.8x + 1

Challenge # 4

Line in the graph has positive slope and negative y-intercept.

y = -5 + 4.2x

Line parallel to the given line will have same slope but different y-intercept.

Equation of the parallel line → y = - 7 + 4.2x

Answer:

5.6 brainlist plz

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

Just take the negative sign out and you have your answer, because you can't have a negative answer as a absolute value.

Hope this helps!!! :D

Answer:

n=6

Step-by-step explanation:

Answer:

1/8 is SMALLER then 2/10

Answer:

2/10 is greater

Step-by-step explanation:

2/10 and 1/8, hard to tell since they have different denominators. So let's make them have the same denominators, multiply 2/10 with 4/4 and 1/8 with 5/5.

If u don't want to think too much to find a number they can both be multiplied too, simply multiply each fraction with the others denominator, so 2/10 times 8/8 and 1/8 times 10/10. It doesn't rlly matter what factor u choose to multiply with as long as the denominator is the same.

So back to the first one, 2/10 times 4/4 is 8/40, 1/8 times 5/5 is 5/40.

8/40 > 5/40

Therefore 2/10 is greater

Answer:

A = (5, 3), so the x-value is 5

Step-by-step explanation:

Answer:

(5, 3), so the x-value is 5

Step-by-step explanation:

Person above me right thank you person above me

Answer:

nm/100

Step-by-step explanation:

Answer:

a*(20-a)

Step-by-step explanation:

Let's assume that the length of the garden is a the width is b and the area is s.

b = 40/2 - a = 20-a

s =a*(20-a)=-a^2+20a=-(a-10)^2+100

then,

when a=10, max(-(a-10)^2) =0, max(s)=100