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Vesna [10]
3 years ago
8

 A farmer recently sold a large plot of land. The sale decreased his total acreage by 8​%. Let t be the original acreage. Find t

wo equivalent expressions that will give the new acreage. Use pencil and paper. Use the expressions to describe two ways to find the new acreage.
Which two expressions will give the new​ acreage? 

A.t-8t
B.t-0.8t
C.8t
D.0.92t
E.0.92t-0.08t
F.0.8t
Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

<u>D. 0.92t, is indeed a correct answer, but probably B or E are not correctly written. The second correct way is t - 0.08t.</u>

Step-by-step explanation:

If the farmer recently sold 8​% of the original acreage of his plot and t is the original acreage, therefore:

8% = 0.08

Thence, the expressions to describe two ways to find the new acreage are:

t - 0.08t

t - 0.08t = 0.92t

<u>D. 0.92t, is indeed a correct answer, but probably B or E are not correctly written. The second correct way is t - 0.08t.</u>

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3 years ago
Five more than three times a number is 131. Find the number.
Crazy boy [7]
The answer would be 42
42*3 = 126
126+5 = 131
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6 0
3 years ago
If f(x)=4x-7 and g(x)=2x+4 evalvate f(x)+g(x) for x=-3
galben [10]

Answer:

-21

Step-by-step explanation:

We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.

First, evaluate f(-3).

f(x)=4x-7

To find f(-3), we need to substitute -3 in for x.

f(-3)= 4(-3)-7

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.

f(-3)= -12-7

Next, subtract 7 from -12

f(-3)= -19

Next, find g(-3).

g(x)=2x+4

To find g(-3), substitute -3 in for x.

g(-3)= 2(-3)+4

Solve according to PEMDAS. First, multiply 2 and -3.

g(-3)= -6+4

Next, add -6 and 4

g(-3)= -2

Now, we can add f(-3) and g(-3) together.

f(-3) + g(-3)

f(-3)= -19

g(-3)= -2

-19 + -2

Add

-21

7 0
3 years ago
Read 2 more answers
Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?
Nikolay [14]

Answer:

The required point is P(-7,\frac{-7}{2}) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7

Step-by-step explanation:

Given equation of line is 2x-6y=7

To find point on graph whose x-coordinate twice the y-coordinate:

Let y be y-coordinate of point

Hence, x-coordinate of point will be 2y

The required point is P(2y,y) on equation of line 2x-6y=7

Now,

2x-6y=7

2(2y)-6y=7

-2y=7

y=\frac{-7}{2}

Thus,

The required point is P(-7,\frac{-7}{2})

Note: Figure show equation of line red line and point P as blue dot.

5 0
3 years ago
diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers &amp; the steps to get the answers. pls don
Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

m\angle XYZ=90^{\circ}

This gives

m\angle YXZ\text{ + m}\angle YZX\text{ = 90}

But

\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

Substituting values we get

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hence, x =12

3 0
1 year ago
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