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docker41 [41]
3 years ago
12

Combine like terms to create an equivalent expression. 4\left(1.75y-3.5\right)+1.25y4(1.75y−3.5)+1.25y

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
4 0

Answer:

<em>8.25y + 14</em>

Step-by-step explanation:

Given the expression

4\left(1.75y-3.5\right)+1.25y

We are to simplify it as shown

Open the parenthesis

4(1.75y) - 4(3.5) + 1.25y

7y - 14 + 1.25y

Collect the like terms

7y + 1.25y - 14

8.25y + 14

<em>Hence the required expression is 8.25y + 14</em>

Jobisdone [24]3 years ago
4 0

Answer:

8.25y−14

Step-by-step explanation:

Use the distributive property to multiply the

4

4start color #ff00af, 4, end color #ff00af into the parentheses.

Hint #22 / 4

4

(

1.75

y

−

3.5

)

+

1.25

y

=4(1.75y−3.5)+1.25yempty space, start color #ff00af, 4, end color #ff00af, left parenthesis, 1, point, 75, y, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y

=

4

⋅

(

1.75

y

)

+

4

⋅

(

−

3.5

)

+

1.25

y

=4⋅(1.75y)+4⋅(−3.5)+1.25yequals, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, 1, point, 75, y, right parenthesis, plus, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y [Explain]

=

7

y

−

14

+

1.25

y

=7y−14+1.25yequals, 7, y, minus, 14, plus, 1, point, 25, y

Hint #33 / 4

=

7

y

−

14

+

1.25

y

=7y−14+1.25yequals, start color #6495ed, 7, end color #6495ed, y, minus, 14, plus, start color #6495ed, 1, point, 25, end color #6495ed, y

=

(

7

+

1.25

)

y

−

14

=(7+1.25)y−14equals, left parenthesis, start color #6495ed, 7, end color #6495ed, plus, start color #6495ed, 1, point, 25, end color #6495ed, right parenthesis, y, minus, 14 [Explain]

=

8.25

y

−

14

=8.25y−14equals, 8, point, 25, y, minus, 14

Hint #44 / 4

The expanded expression is

8.25

y

−

14

8.25y−14

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Select the coordinate point that is a solution of equations. 2x+y=7; 3x-4y=5
grandymaker [24]

Answer:

D (3,1)

Step-by-step explanation:

solving simultaneous equations

Arrange equations

2x+y=7

3x-4y=5

make y side cancell by addition by multiplying by 4 and 1 as shown

4{2x+y=7}

1{3x-4y=5}

8x+4y=28

3x-4y=5

11x=33

x=33/11=3

substitute for x=3 in 3x-4y=5

9-4y=5

4=4y

y=1

4 0
3 years ago
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Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decide
NemiM [27]

Answer:

360 students

Step-by-step explanation:

take the 1,500 dollars needed for profit and add the other variables (100+200),and the total would be 1,800. take that 1,800 and divide that by 5.

4 0
3 years ago
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Hi! I have a math question. This is a two part problem.
Mumz [18]

Answer:

Blair chosen to purchase shirt from company B. Given:

Each shirt costs 3.10$

Shipping cost is 4% (0.04) of total order.

=>Total cost without shipping: 150 x 3.10 = 465$

=> Total cost with 4% of shipping: 465 + 465 x 0.04 = 483.6$

=> Total cost Blair paid for one shirt: C = 483.6/150 = 3.22$

The markup is 75% of original cost:

=> Blair can multiply the total cost for one shirt by 0.75

Blair will sell shirt with price which is equal to the sum of total cost for one shirt and markup:

=> P = 3.22 + 3.22 x 0.75 = 5.64$

Hope this helps!

:)

5 0
3 years ago
Please help!!!! Sine and cosine ratios
Kipish [7]

Answer: 40.9

Step-by-step explanation:

Given

angle given is 23^{\circ}

RC=16

Using trigonometry

\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9

Using cosine formula

\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7

8 0
3 years ago
In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the research
Dovator [93]

Answer:

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the random sample size 'n' = 934

Given that the population proportion P = 0.51

                                                            Q= 1-P

                                                           Q = 1- 0.51 = 0.49

The sample proportion

                                   p = \frac{x}{n} = \frac{501}{934} = 0.5364

Level of significance = 0.05

Critical value Z₀.₀₅ = 1.96

<u><em>Step(ii):-</em></u>

Null hypothesis:  P < 0.51

Alternative Hypothesis : P > 0.51

  Test statistic

                    Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

                   Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }

                  Z =  1.5950

<u><em>Final answer:-</em></u>

Given that P-value 0. 0532

P-value > 0.05

Rejected Alternative Hypothesis and accepted null hypothesis

               ( OR)

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

3 0
3 years ago
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