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2 years ago

Please help me with this math :)

Mathematics

2 answers:

hram777 [196]2 years ago

7 0

Answer: x=1.75

Step-by-step explanation:

rearrange the term: 3.5 (2.25 + <em>x</em>) = 14

the new term: 3.5 (<em>x</em> + 2.25) = 14

Combine multiplied terms into a single fraction, then distribute.

<em>x</em> = 1.75

Cerrena [4.2K]2 years ago

4 0

Answer:

The X is equal to 1.75

Step-by-step explanation:

3.5X2.25=7.875

14/7.875=1.75

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3 years ago

35 is what percent of 150? Enter your answer in decimal form to the nearest hundreth.

Sophie [7]

Answer:

23.33%

Step-by-step explanation:

Solution for 35 is what percent of 150:

35: 150*100 =

(35*100): 150 =

3500: 150 = 23.33

Now we have: 35 is what percent of 150 = 23.33

Question: 35 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=150.

Step 4: In the same vein, x%=35.

Step 5: This gives us a pair of simple equations:

100%=150(1).

x%=35(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{150}{35}

Step 7: Taking the inverse (or reciprocal) of both sides yields

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Therefore, 35 is 23.33% of 150.

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3 years ago

ABCD is a quadrilateral with A(8,21),B(10,27),C(26,26) and D(18,2). Determine whether ABCD is a trapizoid

Svetradugi [14.3K]

<h2>Answer:</h2>

ABCD is a trapezoid

<h2>Step-by-step explanation:</h2>

<em>Given points of the quadrilateral:</em>

A(8,21),B(10,27),C(26,26) and D(18,2)

To show whether ABCD is a trapezoid, we find a pair of parallel sides in ABCD. If two of its sides are parallel to each other then ABCD is a trapezoid.

<em>Step 1:</em> With the given points, sketch a graph. The diagram is attached to this response.

<em>Step 2:</em> As shown in the diagram, the two sides that are likely to be parallel are AB and CD

If these two sides have same gradient/slope, then the quadrilateral is a trapezoid.

Now calculate the slopes of those sides using the slope formula;

m = $\frac{y_2 - y_1}{x_2 - x_1}$

<em>Calculate the slope of AB </em>(where x₁ = 8, y₁ = 21, x₂ = 10, y₂ = 27)

m(AB) = $\frac{27-21}{10-8}$

m(AB) = $\frac{6}{2}$

m(AB) = 3

<em>Calculate the slope of CD </em>(where x₁ = 26, y₁ = 26, x₂ = 18, y₂ = 2)

m(CD) = $\frac{2-26}{18-26}$

m(CD) = $\frac{-24}{-8}$

m(CD) = 3

Since the two slopes - m(AB) and m(CD) slopes are equal to 3, the quadrilateral ABCD is a trapezoid.

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3 years ago

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Answer:

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