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OlgaM077 [116]
3 years ago
13

Find the value of x​

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

x = 70

y = 110

z = 30

Step-by-step explanation:

all triangles add up to 180

30 + 80 = 110

180 - 110 = 70

x = 70

30 + 40 = 70

70 + 80 = 150

180 - 150 = 30

z = 30

40 + 30 = 70

180 - 70 = 110

y = 110

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SOMEONE PLEASE HELP ME 3/4(x+4)=1/4(x+8)
Troyanec [42]

Answer:

x=-2

Step-by-step explanation:

To solve this equation, we can use PEMDAS or Order of Operations.

Parenthesis

Exponents

Multiplication>Division

Addition>Subtraction

Using the various properties can also help make the equation easier.

First, solve for parenthesis using the distributive property.

Our equation is now : 3/4x+3=1/4x+2

Now, subtract 2 on both sides, to cancel out the positive 2 on the right.

3/4x+1=1/4x

Now subtract 3/4x from both sides.

1=-2/4x

Finally, to isolate x, divide both sides by -2/4

1/-2/4=-2

x=-2

Hope this helps!

5 0
3 years ago
If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each s
STALIN [3.7K]

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

4 0
2 years ago
Read 2 more answers
Sid lives 3 miles north and 8 miles west of school. What is the direct distance from Sid's house to school? ≈ 11 miles ≈ 5 miles
Fudgin [204]

Answer: 8.5 Miles


Pythagorean Theorem

a^{2}+b^{2}=c^{2}


5 0
3 years ago
Read 2 more answers
You have 3 gallons of brown stock. You need 6 cups to make one serving of braised short ribs. How many servings can you make?
Vilka [71]

Answer: 8 servings can be made

Step-by-step explanation:

Concept:

As we can see from the question there are two different units applied [gallons] and [cups]; therefore, we need to do the unit conversion.

<u>1 gallon = 16 cups</u>

Solve:

Given there are 3 gallons of brown stock, we need to convert gallons into cups.

  • 1 gallon = 16 cups
  • 3 gallons = 16 × 3 = 48 cups

Then, divide 48 cups by 6 cups to find out how many servings can be made.

  • 48 cups / 6 cups = 8 servings

Hope this helps!! :)

Please let me know if you have any questions

6 0
2 years ago
Solve In standard form y+1=2/3(×+4)
kondor19780726 [428]
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.

In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.

Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3

This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
8 0
3 years ago
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