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otez555 [7]
3 years ago
8

Factor the expression. 4x + 4

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:

4x+x=5x

Step-by-step explanation:

hope it help. thank you for giving me the opportunity

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I'm trying to find out the number of how much it cost to wrap each present, day one 41 small gifts were wrapped and 45 large wer
Licemer1 [7]

Answer:

Small gift: $2

Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

41x+45y=397...(1)

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

30x+47y=389...(2)  

From equation (1), we will get:

x=\frac{397-45y}{41}

Upon substituting this value in equation (2), we will get:

30(\frac{397-45y}{41})+47y=389

\frac{11910-1350y}{41}+\frac{47*41y}{41}=389

\frac{11910-1350y+1927y}{41}=389

\frac{11910+577y}{41}=389

\frac{11910+577y}{41}\cdot 41=389\cdot 41

11910+577y=15949

11910-11910+577y=15949-11910

577y=4039

\frac{577y}{577}=\frac{4039}{577}

y=7

Therefore, cost to wrap a large gift is $7.

Upon substituting y=7 in equation x=\frac{397-45y}{41}, we will get:

x=\frac{397-45(7)}{41}

x=\frac{397-315}{41}

x=\frac{82}{41}

x=2

Therefore, cost to wrap a small gift is $2.

8 0
3 years ago
Four friends went to the movies together. Each ticket cost $8, and then each person also bought a soda for $3.75. Two friends ea
photoshop1234 [79]

Answer:

$37.00

Step-by-step explanation:

Tickets:

4 friends, each ticket costs $8

4*8=32

$32

Sodas:

4 friends, each soda costs $3.75

4*3.75=15

$15

Total:

tickets + sodas

32+15=47

$47

Coupons:

2 friends each had a coupon for $5 off

2*5=10

$10 discount

Grand Total:

total-discount

47-10=37

$37.00

7 0
3 years ago
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s
aivan3 [116]

Answer: The answer is 314.28 cm² (approx.).


Step-by-step explanation:  Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

\textup{d}=20~\textup{cm}.

So, the radius of the circular cross-section will be

\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.

Therefore, cross-sectional area of the pipe is

\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.

Thus, the answer is 314.28 cm² (approx.).

4 0
4 years ago
Is the enlargement or a reduction? Find the scale factor of the dilation.<br> Explain
malfutka [58]

Good evening ,

Answer:

In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)

and also the scale factor = OA’/OA = 2/6 = 1/3

since  -1 < 1/3 < 1 then it’s a reduction.

Step-by-step explanation:

Look at the photo below for more details (notice OA’ and OA).

________________________________________________

:)

4 0
3 years ago
PLEASE HELP, BRAINLIEST FOR THE BEST ANSWER
Zolol [24]

Answer:

Use the distance formula to determine the distance between the two points.

Distance

=

√(x2−x1)^2 + (y2−y1)^2

Substitute the actual values of the points into the distance formula.

√ ( (−6) − 0)^2 +( (−3) − 4)^2

Subtract 0 from −6

√(−6)^2 + ( ( −3 ) −4 )^2

Raise −6 to the power of 2

√36 + ( ( −3 ) −4 )^2

Subtract 4 from −3

√36 + ( −7 )^2

Raise −7 to the power of 2

√ 36 + 49

Add 36 and 49

√85

5 0
3 years ago
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