How large is 12 than 60

-5x - 35= -15<br> -5x = 25<br> X =

Zigmanuir [339]

X= -5 because you divide -5x by -5 to get x alone so you have to 25/-5 which is -5

3 0

3 years ago

Is 1/4 equivalent to 2/7?

Mazyrski [523]

No they are not equivalent

6 0

3 years ago

Read 2 more answers

A salesperson’s commission rate is 4%. What is the commission from the sale of $39,000 worth of furnaces? Suppose sales would do

kenny6666 [7]

Answer:

The earnings will double

Step-by-step explanation:

Step one:

given data

we are told that the sales person's earnings is 4% of the sales made.

given that the sales made is $37,000 worth of furnaces.

Step two:

we want to find 4% of $37,000

=4/100*37000

=0.04*37000

=1480

hence for $37,000 the earning will be $1480.

Now suppose sales is doubled that is 37000*2= 74000

we want to find 4% of $74,000

=4/100*74000

=0.04*74000

=2960.

the earnings is $2960.

So if sales doubles the earnings will double

3 0

3 years ago

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has

Whitepunk [10]

Answer:

Please find attached the required plot accomplished with an online tool

Part A:

1/4

Part B:

P''(-1, 0), Q''(0, -1), and R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent

Step-by-step explanation:

Part A:

Triangle ΔPQR has vertices P(4, 0), Q(0, -4), R(-8, -4)

Triangle ΔP'Q'R' has vertices P'(1, 0), Q'(0, -1), R'(-2, -1)

The dimensions of the sides of the triangle are given by the relation;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates on the ends of the segment

For segment PQ, we place (x₁, y₁) = (4, 0) and (x₂, y₂) = (0, -4);

By substitution into the length equation, we get;

The length of segment PQ = 4·√2

The length of segment PR = 4·√10

The length of segment RQ = 8

The length of segment P'Q' = √2

The length of segment P'R' = √10

The length of segment R'Q' = 2

Therefore, the scale factor of the dilation of ΔPQR to ΔP'Q'R' is 1/4

Part B:

Reflection of (x, y) across the y-axis gives;

(x, y) image after reflection across the y-axis = (-x, y)

The coordinates after reflection of P'(1, 0), Q'(0, -1), R'(-2, -1) across the y-axis is given as follows;

P'(1, 0) image after reflection across the y-axis = P''(-1, 0)

Q'(0, -1) image after reflection across the y-axis = Q''(0, -1)

R'(-2, -1) image after reflection across the y-axis = R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent as the dimensions of the sides of triangle PQR and P''Q''R'' are not the same.

6 0

3 years ago

(a): How many miles does the train travel per gallon?<br> (b):What is the slope of the graph?

drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

$Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon$

for part b) slope=rise/run

$m=(y2-y1)/(x2-x1)$

$y2=400 y1=0 x1=0 x2=200$

$m=(400-0)/(200-0)=2$

slope of the graph is 2

5 0

3 years ago