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3 years ago

Which ordered pair is the solution to the system of linear equations y=-7X+2 and y = 9%-14?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Answer:

y = -7x + 2

y = 9x - 14

-7x + 2 = 9x - 14

14 + 2 = 9x + 7x

16 = 16x

1 = x

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

solution is : (1,-5)

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Of the balloons recently sold by party store, 4 were purple and 8 were other colors. Considering the data, how many of the next

DaniilM [7]

Answer: 22

Step-by-step explanation:

From the question, we are given the information that of the balloons recently sold by party store, 4 were purple and 8 were other colors. This means that the fraction of those that was purple is:

= 4/(4+8)

= 4/12

= 1/3.

Therefore, if there are 66 balloons, the number expected to be purple will be:

= 1/3 × 66

= 22

There'll be 22 purple balloons

5 0

3 years ago

3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)

Morgarella [4.7K]

Answer:

infinite solutions

Step-by-step explanation:

3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)

Combine like terms

3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)

15(12x2+x+1) = 15(12x2+x+1)

Divide by 15

(12x2+x+1) = (12x2+x+1)

Since they are the same

x can be any real value

8 0

3 years ago

Read 2 more answers

What is the value of x

WITCHER [35]

Answer:

The value for x is 40.

Step-by-step explanation:

So you know that the line that cuts through the right angle has one part of 10 degrees, and the other 2x degrees. A right angle is equal to 90 degrees, so the two parts, 2x and 10, have to equal 90. So the equation would look like this: 2x+10=90. Solve for x by subtracting 10 from both sides, resulting in 2x=80. Then divide both sides by 2, and get your answer of x=40.

8 0

3 years ago

Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on the land and pro

Neporo4naja [7]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ Sanya has a piece of land which is in the shape of a rhombus.

★ She wants her one daughter and one son to work on the land and produce different crops, for which she divides the land in two equal parts.

★ Perimeter of land = 400 m.

★ One of the diagonal = 160 m.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ Area each of them [son and daughter] will get.

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

Let, ABCD be the rhombus shaped field and each side of the field be $x$

[ All sides of the rhombus are equal, therefore we will let the each side of the field be $x$ ]

Now,

• Perimeter = 400m

$\longrightarrow \tt AB+BC+CD+AD=400m$

$\longrightarrow \tt x + x + x + x=400$

$\longrightarrow \tt 4x=400$

$\longrightarrow \tt \: x = \dfrac{400}{4}$

$\longrightarrow \tt x= \red{100m}$

$\therefore$ Each side of the field = 100m.

Now, we have to find the area each [son and daughter] will get.

So, For $\triangle$ ABD,

Here,

• a = 100 [AB]

• b = 100 [AD]

• c = 160 [BD]

$\therefore \tt Simi \: perimeter \: [S] = \boxed{ \sf \dfrac{a + b + c}{2} }$

$\longrightarrow \tt S = \dfrac{100 + 100 + 160}{2}$

$\longrightarrow \tt S = \cancel{ \dfrac{360}{2}}$

$\longrightarrow \tt S = 180m$

Using herons formula,

$\star \tt Area \: of \: \triangle = \boxed{\bf{{ \sqrt{s(s - a)(s - b)(s - c) } }}} \star$

where

• s is the simi perimeter = 180m

• a, b and c are sides of the triangle which are 100m, 100m and 160m respectively.

Putting the values,

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(180 - 100)(180 - 100)(180 - 160) }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(80)(80)(20) }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180 \times 80 \times 80 \times 20 }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{9 \times 20 \times 20 \times 80 \times 80}$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{ {3}^{2} \times {20}^{2} \times {80}^{2} }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = 3 \times 20 \times 80$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \red{ 4800 \: {m}^{2} }$

Thus, area of $\triangle$ ABD = 4800 m²

As both the triangles have same sides

So,

Area of $\triangle$ BCD = 4800 m²

Therefore, area each of them [son and daughter] will get = 4800 m²

${\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}$

★ Figure in attachment.

${\underline{\rule{290pt}{2pt}}}$

7 0

2 years ago

Read 2 more answers

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 60 seconds

natulia [17]

4 products are being purchased.

Step-by-step explanation:

Given,

Time taken to select each product = 5 seconds

Time taken to complete check out process = 60 seconds

Total time taken for a transaction = 80 seconds

Let,

x be the number of products purchased.

Time taken for each product*Number of product + Time for check out process = total process

$5x+60=80\\5x=80-60\\5x=20$

Dividing both sides by 5

$\frac{5x}{5}=\frac{20}{5}\\x=4$

4 products are being purchased.

Keywords: variable, division

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago