What is 1 5/7 - 1 2/5

Answer:

366

Step-by-step explanation:

A garden table and bench cost 816 when combined together

The garden table cost 84 less than the bench

Therefore the price of the bench can be calculated as follows

x + (x+84)= 816

2x+84= 816

2x= 816-84

2x= 732

Divide both sides by 2

x= 732/2

= 366

Hence the price of the bench is 366

Answer:

(a+b)/2(a-b)

Step-by-step explanation:

Explained in the paper

Goodluck

Answer:

91.7%

hope I helped

Answer:

[tex]a^3 + 1 = 0[/tex]

Step-by-step explanation:

We start with the equation:

[tex]a + \frac{1}{a} = 1[/tex]

We want to find the value of:

[tex]a^3 + 1 =[/tex]

We can start with our previous equation and multiply both sides by a:

[tex](a + \frac{1}{a})*a = 1*a\\a^2 + 1 = a[/tex]

Now we can rewrite our initial expression as:

[tex]a = 1 - \frac{1}{a}[/tex]

Replacing that in the right side, we get:

[tex]a^2 + 1 = a = 1 - \frac{1}{a}[/tex]

Now again, let's multiply both sides by a

[tex]a*(a^2 + 1) = a*(1 - \frac{1}{a} )\\a^3 + a = a - a/a\\a^3 + a = a - 1\\a^3 = -1\\a^3 + 1 = 0[/tex]

So we can conclude that:

[tex]a^3 + 1 = 0[/tex]

Answer:

this two graph is not same because they have different slopes for this they are not same

Answer:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:

[tex]y=6x-4[/tex]

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

The slope of the given equation is 6.

So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.

Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:

[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]

Simplify:

[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]

Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:

[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]

And subtract one from both sides. Therefore, our equation is:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]

Answer:

8x.

Step-by-step explanation:

coordinates: (3,10) (5,26)

use slope formula (y2 - y1/x2-x1)

26-10/5-3

16/2

= 8

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

start by squaring both sides:

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

squaring a square root cancels it out:

[tex]-8+3x = 4[/tex]

solve for x by first adding 8 to both sides:

[tex]3x=12[/tex]

then divide both sides by 3:

[tex]x=4\\[/tex]

Answer:

A   y ≥ (1/2)x + 5

Step-by-step explanation:

The shaded area is above the solid line

the correct symbol is ≥

Answer:

[tex]81[/tex]

Step-by-step explanation:

The average of a set of [tex]n[/tex] values is equal to the sum of the values in that set divided by [tex]n[/tex].

Therefore, the average of your 5 scores is equal to [tex]\frac{73+86+91+88+67}{5}=\boxed{81}[/tex]. Since evidently your grade is represented by the average of all your scores, your new grade is 81.

Answer:

625 cubic feet

Step-by-step explanation:

Given data

Base area= 125 square feet

Height = 15feet

The expression for the volume of a pyramid is given as

V= a^2*h/3

but a^2= 125 square feet

V= 125*15/3

V= 1875/3

V=625 cubic feet

Answer:

2, 5, 6

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.

Therefore, we're looking for three numbers that multiply to be 60.

Since the question stipulates that no side length may be 10, we have:

[tex]2\cdot 5\cdot 6=60[/tex]

Answer:

Step-by-step explanation:

the square of x-5 given by

[tex] \displaystyle (x - 5) ^{2} [/tex]

use (a-b)²=a²-2ab+b² to simplify so we obtain:

[tex] \displaystyle {x}^{2} - 10x + 25[/tex]

hence

our answer is 2)

to find:

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

substitute the value of f(x) and g(x):

[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - ( {2x}^{2} - 4x + 4)[/tex]

remove parentheses and change its sign:

[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - {2x}^{2} + 4x - 4[/tex]

combine like terms:

[tex] \rm \displaystyle{6x}^{2} + 12x - 5 - {2x}^{2} - 4[/tex]

collect like terms:

[tex] \rm \displaystyle{4x}^{2} + 12x -9[/tex]

hence,

our answer is 3)

given Polynomial:

[tex] \displaystyle {5x}^{3} + 2 {x}^{2} + 7[/tex]

substitute the value of x:

[tex] \displaystyle {5.(10}^{3}) + 2 ({10}^{2}) + 7[/tex]

simplify squares:

[tex] \displaystyle 5(1000) + 2 (100) + 7[/tex]

simplify multiplication:

[tex] \displaystyle 5000 + 2 00 + 7[/tex]

simplify addition:

[tex] \displaystyle 5207 [/tex]

hence our answer is 1)

given:

notice that,

every time there's a GCF of 4x²y

hence our answer is 4)

Answer:

Angle F

Step-by-step explanation:

=====================================================

Explanation:

We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.

In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.

Answer:

x=-20

Step-by-step explanation:

x=-10•2

• means multipled

Answer:Its  the last one to the left up

Step-by-step explanation:

Answer:

78.5 square feet

option b

Step-by-step explanation:

area = pi*r^2

a = 3.14*5^2

a = 3.14*25

a = 78.5

Answer:

4 = ln x

Step-by-step explanation:

e^4=x

Take the natural log of each side

ln(e^4)=ln(x)

We know ln a^b = b ln a

4 ln e = ln x

ln (e) =1

4 = ln x

Answer:

165 cm

Step-by-step explanation:

We solve using the rule

Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl

Shadow of ruler = 20cm

Length of ruler = 30cm

Shadow of the girl = 110cm

Length of the girl = x

Hence:

20/30 = 110/x

Cross Multiply

20x = 30 × 110

x = 30 × 110/20

x = 165 cm

Therefore, Sierra(the girl) is 165cm tall

Answer:

it equal 25 and the remainder is 19. :)

Answer:

Step-by-step explanation:

exact form

769/30

decimal form

25.63

mixed number formed

25 19/30

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

Angles (4x + 4°) and (6x - 4°) are supplementary.

That is :

[tex]\hookrightarrow \: 4x + 4 \degree + 6x -4 \degree = 180 \degree[/tex]

[tex]\hookrightarrow10x = 180 \degree[/tex]

[tex]\hookrightarrow x = 18 \degree[/tex]

__________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

x = 2

Step-by-step explanation:

In a vertical line, all x-coordinates are the same.

x = 2

Answer:

x =2

Step-by-step explanation:

A vertical line means the x value remains constant

The x value is 2

x =2

Answer:

Step-by-step explanation:

Answer:

2×2-3×-5=0

Step-by-step explanation:

(2×2-3×)- 5=0

Answer:

C = 32π

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 16 = 32π units

Answer:

f(0) = g(0)

Step-by-step explanation:

The functions intersect at x =0, which means they have the same y value at x=0

f(0) = g(0)

Answer:

It would be 9π

Step-by-step explanation:

(x-1)²π

(x-1)(2x-4)

Answer:

Ans:C

Step-by-step explanation:

4x^2+10x-2=6

4x^2+10x=6+2y

4x^2+10x-6=2y

(4x^2+10x-6)÷2=y

y=2x^2+5-3

Hope this is useful :)