the sum of 4.5 and a number K is 26.2​

Step-by-step explanation:

x = weight of a small box

y = weight of a large box

x + y = 70 pounds

55x + 60y = 4050 pounds

from the first equation we get

x = 70 - y

and we can use that identity in the second equation :

55(70 - y) + 60y = 4050

3,850 - 55y + 60y = 4050

5y = 200

y = 40 pounds

x = 70 - y = 70 - 40 = 30 pounds

so, a small box weighs 30 pounds, and a large box weighs 40 pounds.

Answer:

for inverse: f^-1(x)=2x-14

for derivative: f^-1(x)=1/2

Step-by-step explanation:

Answer:

80cm^2

Explanation:

Okay to do this, it's often better to find the area of each shape separately.

Let's start with the top rectangle:

4cm*7cm = 28cm^2

Bottom rectangle:

to find the length of it, we just add 3cm and 7cm which = 10cm

so:

10cm*4cm = 40cm^2

And finally the triangle:

to find the bottom side: 13cm - 7cm - 3cm = 3cm

to find the height: 4cm + 4cm = 8cm

so:

8cm*3cm*/2 = 24cm/2

= 12cm^2

Now we add them all up:

28 + 40 + 12 = 80cm^2

Answer:

[ Refer to the above attachment ]

In the given figure there are two shapes:

First, we have to find the area of Rectangle ABGF & DCGE. After that, area of triangle CHB.

1) Area of Rectangle ABGF:

As, we know:

Formula for Area :-

★ Length × Breadth ★

where,

➝ 4 cm × 10 cm

➝ 40 cm²

Hence, the area of Rectangle ABGF is 40cm².

2) Area of Rectangle DCGE:

As, we know:

Formula for Area :-

★ Length × Breadth ★

where,

➝ 4 cm × 7 cm

➝ 28 cm²

Hence, the area of Rectangle DCGE is 28cm².

3) Area of Triangle CHB:

As, we know:

Formula for Area :-

★ ½ ( base × height ) ★

where,

➝ ½ ( 3cm × 8cm )

➝ ½ ( 24cm )

➝ ½ × 24cm

➝ 12 cm²

Hence the Area of Triangle CHB is 12cm².

Now, Area of Given Shape is:

➝ 40cm² + 28cm² + 12cm²

➝ 52cm² + 28cm²

➝ 80cm²

Thus, the area of the given shape is 80cm².

[ Formula's for Area ]

★ Square = (Side)²

★ Rectangle = Length × Breadth

★ Triangle = ½bh

★ Circle = πr²

Out of 150 cards, 10 of those are Jimmy's -> The probability of Jimmy winning a free lunch is 10 : 150 = 10/150 (simplified as 1/15)

Answer:

$15.84

Step-by-step explanation:

We can write a proportion to solve

12 pens        18 pens

------------  = -------------

10.56            cost

Using cross products

12 * cost = 10.56 * 18

12 cost = 190.08

Divide each side by 12

cost = 190.08/12

cost =15.84

Answer:

Step-by-step explanation:

12 pens 18 pens

------------ = -------------

10.56 cost

Cross products

12 * cost = 10.56 * 18

12 cost = 190.08

( ÷ ) each side by 12

cost = 190.08/12

cost = 15.84

Step-by-step explanation:

1099cm might be lol I am poor in math

Answer:

d the last one

Step-by-step explanation:

About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.

Empirical rule states that for a normal distribution, about 68% of the values fall within one standard deviation from the mean, 95% of the values fall within two standard deviation from the mean and 99.7% of the values fall within three standard deviation from the mean.

Amount that have more than 2 standard deviations above the mean = (100% - 95%) / 2 = 2.5%

About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.

Find out more on empirical rule at: https://brainly.com/question/10093236

Answer:

8 7/10 - 3 4/10 = 5.3, 5 3/10, or 53/10

5.3, 5 3/10, and 53/10 all equals to 8 7/10 - 3 4/10 :)

Step-by-step explanation:

Answer:

thats wrong bother dont lisen

Step-by-step explanation:

Answer:

We know that there are total 12 marbles are not there because 48-36=12. Now, I take:

12÷48=0.25 or 25%. As a result, the percent error is 25%. Hope it helps!

Step-by-step explanation:

The percentage error is 40.9%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the estimated value is 52 and the actual value is 88.

The percent error is given

error% = (|estimated - actual|)/actual × 100 %

error% = (|52 - 88|)/88 × 100 %

error% = 40.9%

Hence, the percentage error is 40.9%.

Learn more on percentages here:

https://brainly.com/question/14979505

#SPJ2

Answer:

V=12\pi hV=12πh

Step-by-step explanation:

there is a linear relationship between height and volume and you can know if you graph it

Answer: 20

Step-by-step explanation:

5 divided by 0.25 or 1/4 is 20

Answer:

Total area = 937.75

Step-by-step explanation:

Area of triangles = ((b*h)/2) * 5

= (12*23/2) * 5

= 138 * 5

Area of triangles = 690

Area of pentagon = a² * √(25 + 10√5) / 4

= 12^2 * √(25 + 10√5) / 4

Area of pentagon = 247.75

Total area = Area of triangles + Area of pentagon

Total area = 937.75

Answer:

15 years

Step-by-step explanation:

A quadrilateral is a shape with four vertices

The true statement about the quadrilateral ABCD is that the quadrilateral has unequal lengths

The coordinates of the vertices are given as:

A = (1,1)

B = (5,2)

C =  (8, -6)

D = (0, -8)

Next, we calculate the distance between the vertices using the following distance formula

[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB=\sqrt{(1 -5)^2 + (1 -2)^2} = \sqrt{17}[/tex]

[tex]BC=\sqrt{(5 - 8)^2 + (2 +6)^2} = \sqrt{73}[/tex]

[tex]CD=\sqrt{(8 - 0)^2 + (-6 + 8)^2} = \sqrt{68}[/tex]

[tex]DA=\sqrt{(0 - 1)^2 + (-8 - 1)^2} = \sqrt{82}[/tex]

From the above computation, we have the lengths to be unequal

Hence, the true statement about the quadrilateral ABCD is that it has unequal lengths

Read more about quadrilaterals at:

https://brainly.com/question/16691874

Answer:

120 students

Step-by-step explanation:

By setting up the equation 2/5=x/300, we can cross cancel, changing the equation into 5x=600, and by dividing both sides by 5, the 5 in 5x cancels out and 600 divided by 5 is 120.

Answer:

x2-9x is a quadratic binomial. :)

Answer: 7

Step-by-step explanation:

The sum of the values is 63, and there are 9 values. Since mean=(sum of values)/(number of values), we get 63/9 = 7.

Answer:

1, 3, 4 5/1.2 8 maybe?

Step-by-step explanation:

Answer:

y=x+w/5

Step-by-step explanation:

x=5y-w

step 1: bring the additional letters/numbers next to the "5y" over to the left

x+w= 5y

step 2: divide the numbers and letters on both sides of the "=" by 5 to only get the letter y

x+w/5= y

step 3: swap them over

y= x+w/5

(we can't get an answer from x+w/5 because the terms are unlike, therefore we keep it as a fraction

Answer:

70 [tex]ft^{3}[/tex]

Step-by-step explanation:

B = l x w

B = 2.5 x 7

B = 17.5

V = Bh

V = 17.5(4)

V  = 70

units are cubed for volume

Its easier to multiply the 3 number and get the answer instead of doing multiple steps

Considering the circumference of the circles, it is found that 18.9 metres of edge board would be required to form the drive.

The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex]

In this problem, considering that the outside radius is 20.0 m and the inside radius if of 17.0 m, the drive has a radius of r = 3 m, hence:

[tex]C = 2\pi r[/tex]

[tex]C = 2\pi \times 3[/tex]

[tex]C = 6\pi[/tex]

[tex]C = 18.9[/tex]

18.9 metres of edge board would be required to form the drive.

More can be learned about the circumference of a circle at https://brainly.com/question/25846963

Answer:

the answer is 100

Step-by-step explanation:

the number greater than 2 : 3,4,5,6

so 4/6 x 150 = 2/3 x 150 = 100

Answer:

35

Step-by-step explanation:

Let other number be X

According to the question

4 × X= 20

7

X=20×7

4

X=35

Answer:

  the dilated coordinates are (12, 9), (6, 9), (12, -6), (6, -6)

Step-by-step explanation:

The dilation factor multiplies each coordinate value when the center is the origin.

__

  (8, 6) ⇒ 1.5(8, 6) = (12, 9)

  (4, 6) ⇒ 1.5(4, 6) = (6, 9)

  (8, -4) ⇒ 1.5(8, -4) = (12, -6)

  (4, -4) ⇒ 1.5(4, -4) = (6, -6)

Given -

A parallelogram with sides G, H, I and J in which GH = IJ and GJ = HI.

To prove -

J, H, G ≅ H, J, I

Proof -

In ∆ JHG and ∆ HJI,

GH = IJ (S)

GJ = HI (S)

JH = JH (common) (S)

J, H, G ≅ H, J, I (SSS congruency rule)

C. SSS

Answer:

yes, kimberly would be able to paint 16 ft more after she is done.

Step-by-step explanation:

12×22 =264ft

280-264=16

Answer:

The answer is letter D. 200 J

Answer:

answer 135 red

if 5 blue + 3 red = 1 gallon then

5b x 45 = 225

3r x 45 = 135

Step-by-step explanation:

Answer: 234

Step-by-step explanation: by getting the 175 and multiple them to get 234 if you percent the area of 140 to put together.

Answer:

Step-by-step explanation:

[tex]Percentage=\dfrac{number \ of \ students \ wearing \ headphones}{Total \ students}*100\\\\\\=\dfrac{140}{175}*100\\\\\\= \dfrac{140}{7}*4\\\\\\=20*4\\\\[/tex]

= 80%