A truck carries a load of 50 boxes;some are 20kg boxes and the rest are 25kg boxes. if the total weight of all boxes is 1175 kg, how many of each type are there?​

The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)

A linear function is in the form:

Where m is the rate of change (slope), and b is the y intercept.

From the table, b = 3 (at x = 0, y = 3)

The slope (m) = (7 - 3) / (3 - 0) = 4/3

y = (4/3)x + 3

The point (18, 27):

y = (4/3)(18) + 3 = 27

The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)

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Answer:

75 inches cubed

Step-by-step explanation:

V=lwh

2 1/2 = 2.5

4 = 4

7 1/2 = 7.5

2.5 x 4 x 7.5=75

75 cubic inches

Answer:

24

Step-by-step explanation:

In triangle STU, line VT bisects angle STU.

-> By angle bisector theorem:

[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]

The value of b is 24

If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.

i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

Here, given that, SV = 2b, VU = b+24, ST = TU = 67

∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]

⇒ [tex]\frac{2b}{b+24}=1[/tex]

⇒ 2b = b+24

⇒ b = 24

Hence, b = 24

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Answer:

25

Step-by-step explanation:

Let the number be 10x+y.

So we have 2(10x+y)+2 = 10y+x, or

20x + 2y + 2 = 10y+x, or

19x=8y-2 …(1)

Try different values of x which satisfy (1) giving an integer value of y. Moreover x should be less than y. The only value of x is 2 which gives us y = 5.

So y = 5 and x = 2.

And the answer is 25.

We can prove this by simply doing the question's equation:

50(since it's the double of 25) + 2 =

50+2= 52

Hope this helps

Answer:

Step-by-step explanation:

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

According to angle sum property of a quadrilateral, Sum of all angles of a quadrilateral measures 360°

So, let's solve for x ~

[tex]\qquad \tt \dashrightarrow \:68 + 126 + 106 + x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:300+ x = 360[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 360 - 300[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 60 \degree[/tex]

Answer:

L and B be the dimensions of field.

L+2B =2400ft.

AreaA = L×B=L×(2400-L)/2=1200L-L^2

For max.area to use the fencing dA/dL=1200-2L=0 or L=600ft

B=(2400-600)/2=900ft.

Total area = 540000ft^2.

Maybe?

Step-by-step explanation:

Quora

Answer: D) 2

Step-by-step explanation:

x² = 9 means what number times itself is equal to 9

We know that 3×3=9 so that is already one solution, but there is another

-3×-3 is also equal to 9

A negative number times a negative number results in a positive number so -3 is another solution.

That gives us two solutions

Answer:

D; only 2

Step-by-step explanation:

Solve for x over the real numbers:

x^2 = 9

Take the square root of both sides:

Answer: x = 3 or x = -3

Answer:

The diagram with three triangles is not a good representation.

The other diagrams have three parts divided into 4 places. The diagram of the triangles only has 3 parts in each of the three triangles. The equation for that would be 3 divided by 1/3.

Step-by-step explanation:

Have a great rest of your day
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Answer:

200000×2

=R400 000 and minus 50000

=300000

Step-by-step explanation:

If u casually solve the given equation by putting 115 instead of 'F' u will get the value of 'X' which is 43 and i guess it's the answer

Answer:

A. 496 ft2

Step-by-step explanation:

area of a triangle is

1/2 times base times height

1/2 times 16 times 62 =

496

Answer:

120 students did not buys a snack :)

Step-by-step explanation:

The easiest way to do this is divide :)

Now lets solve!!

180/6 = 30

Now we multiply!!

30 x 4 = 120

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

16.6

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]

The circles in the figures form a series

The next step in the series is (B)

From the figure, we have the following highlights

Using the above pattern, the next circle must have 6 segments

Hence, the next step in the series is (B)

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Answer:

See below ~

Step-by-step explanation:

Given : 3 angles of a Δ

Solving :

Finding the angles

Answer:

i think the answer would be 1/6 because 6 sides 1 number per side

The value of x in a 18-gon that has an interior angle measurement of 2x - 6 is 55.33

Polygons are 2-dimensional shapes that are made of straight lines.

Therefore,

sum of interior angle of polygon = 180(n - 2)

where

Therefore,

sum of interior angle of polygon = 180(18 - 2)

sum of interior angle of polygon = 180(16)

sum of interior angle of polygon = 2880

Since, it is a 18-gon, the value of x can be found as follows;

2880  / 18 = 160 degrees

Therefore,

3x - 6 = 160

3x = 160 + 6

3x = 166

x = 166  /3

x = 55.3333333333

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Answer:

28/40

Step-by-step explanation:

12+21+7=40

21 times on its side

21/40 cannot be simplified

Answer:

I would reccomend the first option the path costs $6 per foot

Answer:

is TURNS

Step-by-step explanation:

A figure but does not change its shape and size is Turns.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.

A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.

Thus, thus required transformation is Turns.

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Answer:

[tex]4\sqrt{2b}[/tex]

Step-by-step explanation:

[tex]\sqrt{98b}-\sqrt{72b}+\sqrt{18b}[/tex]

Apply radical rule [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex]:

[tex]\implies \sqrt{98}\sqrt{b} -\sqrt{72}\sqrt{b} +\sqrt{18}\sqrt{b}[/tex]

Factor out common term [tex]\sqrt{b}[/tex]:

[tex]\implies \sqrt{b}(\sqrt{98} -\sqrt{72}+\sqrt{18})[/tex]

Rewrite 98, 72 and 18:

[tex]\implies \sqrt{b}(\sqrt{49 \cdot 2} -\sqrt{36 \cdot 2}+\sqrt{9 \cdot 2})[/tex]

[tex]\implies \sqrt{b}(\sqrt{49}\sqrt{2} -\sqrt{36}\sqrt{2}+\sqrt{9}\sqrt{2})[/tex]

[tex]\implies \sqrt{b}(7\sqrt{2} -6\sqrt{2}+3\sqrt{2})[/tex]

Factor out common term [tex]\sqrt{2}[/tex]:

[tex]\implies \sqrt{b}\sqrt{2}(7 -6+3)[/tex]

[tex]\implies \sqrt{b}\sqrt{2}(4)[/tex]

[tex]\implies 4\sqrt{2b}[/tex]

Answer:

  8r^4 -16r^2

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Write the result in order of decreasing powers of the variable.

__

  8r^2(r^2 -2) = (8r^2)(r^2) +(8r^2)(-2)

  = 8r^4 -16r^2

The equation that represents the total number of glowlight tetras, y, in the fish tank is y = 3x.

How to form a equation?

The classroom fish tank contains x cichilds. Therefore,

number of cichilds = x

The tank contains 3-times as many glowlight tetras as cichlids.

where

y = total number  of glowlight tetras in the fish tank

Therefore, the equation that represents the total number of glowlight tetras, y, in the fish tank is as follows:

y = 3x

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