Translate this sentence into an equation

The product of donnie’s savings and 3 is 48

Use d to represent Donnie’s savings.

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Explanation:

The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.

Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.

Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.

Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)

a^2 + b^2 = c^2

a^2 + 5^2 = 9^2

a^2 + 25 = 81

a^2 = 81 - 25

a^2 = 56

a = sqrt(56)

a = sqrt(4*14)

a = sqrt(4)*sqrt(14)

a = 2*sqrt(14)

The exact length of PQ and PS is 2*sqrt(14) units.

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We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.

perimeter = PQ+QR+RS+SP

perimeter = 2*sqrt(14)+5+5+2*sqrt(14)

perimeter = 10+4*sqrt(14)

Answer is choice B

Side note: The expression above approximates to roughly 24.966629

Answer:

the equation is x-6

pls mark me as brainliest

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6

Answer:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

Answer:

Step-by-step explanation:

t = 2h-8  

since you didn't put in the equations,  just put in what ever variable is where t is at and any variable other than t for the h   :)

Answer:

Please put equations, so I can able to give you ans

Answer:

A, D, E

Step-by-step explanation:

y=mx+b b is the y-intercept

I can see that 3 equations have -8 as a y-intercept so select those

Ex: y=3x-8

Answer:

$52

Step-by-step explanation:

Given data

Beth can buy T-shirts in packs of 5 for $5.55

Cost per shirt

=5.55/5

=$1.11

To buy 40 shirt

=1.11*40

=$44.4

In packs of 2 for $4.82

cost per shirt

=4.82/2

=$2.41

To buy 40 shirt

=2.41*40

=$96.4

Hence the best buy in packs of 5 for $5.55

and the cost per shirt is $1.11

He will save

=96.4-44.4

=$52

Answer:

5.the square root is positive number lessthan 1 is beteween 0 and 1

1.the square root of a positive number greater than 1 is less thsn number

Answer: 26 Feet

Hope this helps!

Answer:

104,758

Step-by-step explanation:

Answer:

B=50

Step-by-step explanation:

THE TRINGLE IS 180 DEGREE (RULE)

(X+38)+(3X-12)+(2X-2)=180

6X=180-(38-12-2)

6X=156

X=26

B=2X-2

B=2(26)-2=52-2=50

Answer:

B=50

Step-by-step explanation:

Step-by-step explanation:

hope this helped you :)) !!

Answer:

Adjacent

Step-by-step explanation:

They are next to each other ^^

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

Answer:

508sq. cm

Step-by-step explanation:

surface area of a prism = 2(lw + wh + lh)

For the larger prism

Surface area = 2(2*10 + 2 * 12 * 10*12)

Surface area = 2(20+24+120)

Surface area = 2(164)

Surface area = 328sq.cm

For the smaller prism

Surface area = 2(3*6 + 3 * 8 * 6*8)

Surface area = 2(18+24+48)

Surface area = 2(90)

Surface area = 180 sq.cm

Surface area of the figure = 328 + 180

Surface area of the figure = 508sq. cm

9514 1404 393

Answer:

  D.  2%  

Step-by-step explanation:

The growth rate can be found by looking at the growth factor of the exponential function.

  f(x) = (initial value) × (growth factor)^x

The growth rate is related by ...

  growth factor = growth rate + 1

This means the growth rate of f(x) is 1.04 -1 = 0.04 = 4%.

__

We can write the function g(x) describing the table as ...

  g(x) = (value at x=x1) × ((value at x=x2)/(value at x=x1))^((x-x1)/(x2-x1))

So, this could be ...

  g(x) = 31.21 × (32.47/31.21)^((x-2)/2) = a·b^x

     where b = (32.47/31.21)^(1/2) ≈ 1.02 . . . . growth factor

This means the growth rate for g(x) is 1.02 -1 = 0.02 = 2%.

__

Then the difference between the growth rates of the two functions is ...

  4% - 2% = 2% . . . . . matches choice D

Answer: 6/10

Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.

Mean- 26.222222222222

Median- 26

Mode- 24

Range- 7

Hope this helped :D

Answer:

25

Step-by-step explanation:

as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:yˆ=−0.175x2−3.786x+121.119

look at picture

Step-by-step explanation:

The quadratic regression equation for the data set is:

y^ = -0.175x²-3.786x+121.119

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.

According to the given problem,

Let us choose any value of x,

x = 10

For this value of x we can see that the respective value of y= 50

Substituting the value of x in the equations to see which equation satisfies the value of y as 50.

Substituting the value of x in the equation:

y^ = -0.175x²-3.786x+121.119

y^ = 50

Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.

Learn more about Quadratic Linear Equations here:

https://brainly.com/question/24639881

#SPJ2

Answer:

21.1cm

Step-by-step explanation:

Hello :)

The volume of a sphere can be found by this equation:

[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.

Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.

[tex]V=\frac{4}{3} \pi r^3[/tex]

[tex]32398=\frac{4}{3} \pi r^3[/tex]

Now, let's isolate the r variable by dividing 4/3 and pi to the other side.

[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]

We can get rid of the exponent by square rooting by 3.

[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]

If we plug this into the calculator, the r=21.1

Which means the radius of the sphere is 21.1 cm.

Answer:

21.1 CM

[tex] \: \: \: \: \: \: \: [/tex]

Answer: the other silds are the same

Step-by-step explanation:

finding tenth is not necessary so

Step-by-step explanation:

solution,

given length = 3 m

breath = 10 m

and

height=6 m

Volume=l×b×h

3×10×6

180

so the volume is 180m

hope it helps you have a good day

please mark me as brain list

Answer:

the first one (25x + 30y is less than or equal to 100)

Step-by-step explanation:

money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.

Answer:

-3/4

Step-by-step explanation:

change them to improper fractions

-5/2 - (-7/4)

now multiply -5/2 by two so the denominators are the same

-10/4 - (-7/4)

subtracting a negative number is the same as adding a positive number

-10/4 + 7/4

= -3/4

Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Step-by-step explanation:

"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.

i hope this helps! :D comment if you need any clarification.

Answer:

130 ; 50% ; 25%

Step-by-step explanation:

Using te boxplot to answer the underlying questions :

Number of employees who spend $10 or less corresponds to the lower quartile, which is up to 25% of the distribution :

Total number of employees = 520

Number of employees who spend $10 or less = 25% of 520 = 0.25 * 520 = 130 employees.

Percentage of employees who spend from $10 to $45 = Interquartile range

$10 corresponds to lower quartile = 25%

$45 corresponds to upper quartile = 75%

IQR  = 75% - 25% = 50%

Percentage who spend $45 or more

$45 corresponds to the upper QUARTILE (Q3) :

45 or more = 100% - Q3 = 100% - 75% = 25%

5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.

3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.

Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is

(3 L) / (8 L) = 0.375 = 37.5%