what is the value of x ?

Answer: [tex]\$100[/tex]

Step-by-step explanation:

Given

T-shirt cost 5 times as much as a singlet

Suppose the price of a singlet [tex]x[/tex]

Price of a T-shirt is [tex]5x[/tex]

According to the question, for $800, trader can buy 32 more singlet than T-shirt

[tex]\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20[/tex]

Thus, the price of a T-shirt is [tex]5x=\$100[/tex]

Answer:

[tex]y = - \frac{1}{5} x + 7[/tex]

Step-by-step explanation:

Slope -intercept form:

y= mx +c, where m is the slope and c is the y- intercept.

Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.

Slope of given line= 5

The product of the gradients of two perpendicular lines is -1.

m(5)= -1

[tex]m = - \frac{1}{5} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{1}{5} x + c[/tex]

Substitute a pair of coordinates to find the value of c.

when x= 0, y= 7,

[tex]7 = - \frac{1}{5} (0) + c[/tex]

c= 7

Thus, the equation of the line is y= -⅕x +7.

Answer:

9.75 meters

Step-by-step explanation:

Davis and Catherine are approximately 13.90 meters apart.

To find the distance between Davis and Catherine, we can use the concept of right triangles and apply the Pythagorean theorem.

Let's consider a right triangle where the distance between Davis and Mrs. Kennedy is the base, the distance between Mrs. Kennedy and Catherine is the height, and the distance between Davis and Catherine is the hypotenuse.

According to the given information, Mrs. Kennedy is 7 meters in front of Catherine, and Davis and Mrs. Kennedy are 12 meters apart.

Using the Pythagorean theorem, we have:

(Base)² + (Height)² = (Hypotenuse)²

Substituting the given values:

(12)² + (7)² = (Hypotenuse)²

Simplifying the equation:

144 + 49 = (Hypotenuse)²

193 = (Hypotenuse)²

Taking the square root of both sides:

√193 ≈ 13.89 = 13.90

Therefore, Davis and Catherine are approximately 13.90 meters apart.

Learn more about distance at

https://brainly.com/question/26550516

#SPJ2

Answer:

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

Step-by-step explanation:

we want to figure out a value of a for the following condition

[tex] \displaystyle va - vh = 1[/tex]

to do so factor out v;

[tex] \displaystyle v (a - h )= 1[/tex]

divide both sides by v which yields:

[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]

therefore,

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

now,add h to both sides:

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

further simplification if necessary:

[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]

factor out of v

Dividing both sides by (v)

cancel out (v)

add h in both sides

cancelout h

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]

Answer:

7^-22

Step-by-step explanation:

Exponent laws.

Answer:

36 units

Step-by-step explanation:

this is a walk around problem

the sides of the triangle will be 10, 13, and 13

so the perimeter = 10 + 13 + 13

p = 36 units

Answer:

perimeter = 36

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, then

perimeter = (5 + 5) + (8 + 8) + (5 + 5)

                = 10 + 16 + 10

               = 36

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations.

Step-by-step explanation:

A relative frequency distribution can be regarded as a distriburion that display the proportion of the total number of observations that is been associated with class of values or each of the value, and this relate to a probability distribution that is been used extensively in statistics. A relative frequency distribution gives the lists of the data values with percent of all observations that belongs to each group. The relative frequencies are been calculated through the division of the frequencies for each group using the total number of observations.

It should be noted that In a Relative frequency distributions, the relative frequency is found by dividing the class frequencies by the total number of observations.

Answer:

Relative error = 0.19

Step-by-step explanation:

From the question given above, the following data were obtained:

Measured age = 32 years

Actual age = 27 years

Relative error =?

Next, we shall determine the absolute error. This can be obtained as follow:

Measured age = 32 years

Actual age = 27 years

Absolute error =?

Absolute error = | Measured – Actual |

Absolute error = | 32 – 27 |

Absolute error = 5 years

Finally, we shall determine the relative error. This can be obtained as follow:

Absolute error = 5 years

Actual age = 27 years

Relative error =?

Relative error = Absolute error / Actual years

Relative error = 5 / 27

Relative error = 0.19

Answer:

[tex]\frac{2^{5} }{6^{5} } =2^{5} 6^{-6}[/tex]

[tex]=2^5\times (2^{-5} 3^{-5} )[/tex]

[tex]=2^{5-5} 3^{-5}[/tex]

[tex]=2^{0} 3^{-5}[/tex]

[tex]=3^{-5}[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

B(3^-5) and D(2^5*6^-5)

Step-by-step explanation:

I put the expression in to the calculator and put the answers into the calculator and just picked the ones that matched

Answer:

$0.25

Step-by-step explanation:

We can use System of Equations to find out how much a can of cat food costs.

Let's use variables to represent the cat food and dog food:

x = cost of 1 cat food can

y = cost of 1 dog food can

Here are our 2 equations based on the scenarios in the question:

4x + 3y = 1.99

4x + y = 1.33

Now let's set the second equation to y using basic algebra:

4x + y = 1.33

y = -4x+1.33

And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:

4x + 3y = 1.99

4x + 3(-4x+1.33) = 1.99

4x + -12x+3.99 = 1.99

-8x + 3.99 = 1.99

-8x = -2

x = 1/4

x = 0.25

1 can of cat food costs $0.25

Hope that helps (●'◡'●)

Answer:

.25

Step-by-step explanation:

set up equations

1)4c+3d=1.99

2)4c+d=1.33

Method of use:Elimination

          4c+3d=1.99

       - (4c+d)=-(1.33)

        ___________

=2d=.66

divide by two on both sides to get .33 for d.

plug in

4c+.33=1.33

subtract .33 on both sides

4c=1

divide by four on both sides to get c

c=1/4 or .25

[tex]Total \: length = 1 \: yard \\ Finished \: length = \frac{3}{8} \: yard \\ \\ so \: remaining \: length \\ = total \: length - finished \: length \\ = 1 \: yard - \frac{3}{8} \: yard \\ = \frac{8}{8} \: yard - \frac{3}{8} \: yard \\ = \frac{5}{8} yard[/tex]

This is the answer.

Hope it helps!!

Answer:

Step-by-step explanation:

Sum = -9

Product = 20

Factors = -5 , -4    {-4 * -5 = 20 & -5 + (-4) = -9}

x² - 9x + 20 = 0

x² - 5x  - 4x + 20 = 0     Rewrite middle term

(x² - 5x) - 4x + 20 = 0        Group terms

x(x - 5) - 4(x - 5) = 0         Factor terms

(x-5)(x -4)=0

x -5 = 0   ; x - 4 = 0

x = 5       ; x  = 4

Ans: x = 5 , 4

Given:

The endpoints of the latus rectum at (-2, 3) and (-2, 15).

The directrix at x = 4.

To find:

The equation of the parabola.

Solution:

The equation of the parabola is:

[tex](y-k)^2=4p(x-h)[/tex]                   ...(1)

Where, [tex]x=h-p[/tex] is directrix and [tex](h+p,k\pm |2p|),p<0[/tex] are the end point of the latus rectum.

The directrix at x = 4. So,

[tex]h-p=4[/tex]               ...(i)

The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,

[tex](h+p,k-|2p|)=(-2,3)[/tex]

[tex](h+p,k+|2p|)=(-2,15)[/tex]

Now,

[tex]h+p=-2[/tex]              ...(ii)

[tex]k-2p=3[/tex]              ...(iii)

[tex]k+2p=15[/tex]           ...(iv)

Adding (i) and (ii), we get

[tex]2h=2[/tex]

[tex]h=1[/tex]

Putting [tex]h=1[/tex] in (i), we get

[tex]1-p=4[/tex]

[tex]-p=4-1[/tex]

[tex]-p=3[/tex]

[tex]p=-3[/tex]

Putting [tex]p=-3[/tex] in (iii), we get

[tex]k-|2(-3)|=3[/tex]

[tex]k-6=3[/tex]

[tex]k=3+6[/tex]

[tex]k=9[/tex]

Putting [tex]h=1,p=-3,k=9[/tex] in (1), we get

[tex](y-(9))^2=4(-3)(x-1)[/tex]

[tex](y-9)^2=-12(x-1)[/tex]

Therefore, the required equation of the parabola is [tex](y-9)^2=-12(x-1)[/tex].

Step-by-step explanation:

4.15 × 3.85

= (4 + 0.15) ( 4 - 0.15)

= (4)^2 - (0.15)^2

= 16 -- 0.0225

= 15.9775

HOPE IT HELPS

Answer:

+6

Step-by-step explanation:Look at the trend of numbers and notice. Maybe put it in a table.

Answer:

x = 17

Step-by-step explanation:

The angles are same side interior angles and they will add to 180 when the lines are parallel

6x+8  + 4x+2 = 180

10x+10 = 180

Subtract 10 from each side

10x+10-10 =180-10

10x = 170

Divide by 10

10x/10 = 170/10

x = 17

Answer:

x = 17

Step-by-step explanation:

Theorem:

If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.

For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.

6x + 8 + 4x + 2 = 180

10x + 10 = 180

10x = 170

x = 17

Part 1

Let the consecutive multiples be 5x and 5x + 5

ATQ

5x + 5x + 5 = 55

10x = 55 - 5

10x = 50

x = 5

Answer is 25 and 30

Part 2

Let the number be x , x + 1, x + 2

ATQ

x + x + 1 + x + 2 = 93

3x + 3 = 93

3x = 93 - 3

x = 90/3

x = 30

The integers are 30,31 and 32

Part 3

Let the number be x

ATQ

3x - 5 = 10

3x = 10 + 5

x = 15/3

x = 5

The number is 5

Answered by Gauthmath must click thanks and mark brainliest

Step-by-step explanation:

= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2

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

Answer:

Step-by-step explanation:

The diagonal must be an angle bisector for a rhombus.

That means that both bisected angles are equal.

2x + 16 = 5x - 8            Add 8 to both sides

2x + 16 + 8 = 5x

2x + 24 = 5x                 Subtract 2x from both sides

24 = 5x - 2x

24 = 3x                         Divide by 3

24/3 = x

x = 8

Answer: 4x + 0.5y

Step-by-step explanation:

Concept:

Here, we need to understand the idea of the mean (average).

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.

Terms: 2x-5y, 5x+2y, 8x+6y, x-y

Number of terms: 4

 [(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4

=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4

=[16x + 2y] / 4

=4x + 0.5y

Hope this helps!! :)

Please let me know if you have any questions

Answer:

drawing a blue marble is a harder then the yellow but not as hard as the red.

Lets Do

[tex]\\ \sf\longmapsto p = 2(l + w) \\ \\ \sf\longmapsto l + w = \frac{p}{2} \\ \\ \sf\longmapsto w = \frac{p}{2} - l \\ \\ \sf\longmapsto \boxed{ \bf \: w = \frac{p - 2l}{2} }[/tex]

Answer:

4

Step-by-step explanation:

Length of the y component is how far the vector reaches vertically, so in this case it's 4

Answer:

$7 is his Hourly Wage.

Step-by-step explanation:

We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.

We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.

98 ÷ 14 = 7

Answer:

simple 49+44=93 then you do 180 is the angle of a straight line so we do 180-93=87

Answer:

Hello,

Step-by-step explanation:

All i can do is to show you the ellipse.