The greatest common factor of 49 and 84 is 7
Answer:
Step-by-step explanation:
Point P is on line segment
O
Q
‾
OQ
. Given
O
P
=
6
,
OP=6,
O
Q
=
4
x
−
3
,
OQ=4x−3, and
P
Q
=
3
x
,
PQ=3x, determine the numerical length of
O
Q
‾
.
OQ
.
Label known information:
Label known information:
O
P
Q
6
3x
OQ = 4x – 3
O
P
+
P
Q
=
OP+PQ=
O
Q
OQ
6
+
3
x
=
6+3x=
4
x
−
3
4x−3
−
4
x
−4x=
−
4
x
−4x
−
x
+
6
=
−x+6=
−
3
−3
−
6
−6=
−
6
−6
−
x
=
−x=
−
9
−9
−
x
−
1
=
−1
−x
=
−
9
−
1
−1
−9
x
=
x=
9
9
Plug in value of
x
to find
O
Q
:
Plug in value of x to find OQ:
O
Q
=
4
x
−
3
=
4
(
9
)
−
3
=
33
OQ=4x−3=4(9)−3=33
You can plug
x
into each expression:
You can plug x into each expression:
O
P
Q
6
3(9)
OQ = 4(9) – 3
Simplify:
Simplify:
O
P
Q
6
27
OQ = 33
Final Answer:
Final Answer:
O
Q
=
33
OQ=33
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 7)
m =
=
= 1, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (1, 4), then
4 = 1 + c ⇒ c = 4 - 1 = 3
y = x + 3 ← equation in slope- intercept form
Vic's cookies having a ratio of flour to butter of 250/170 contains less
butter than Imani's cookies, 750/630, what Vic will think is therefore;
(A) Imani's cookies have too much butter
<h3>Which method can be used to evaluate the cookies?</h3>
The quantity of flour per 170 grams of butter in Vic's cookies = 250 grams
The amount of flour Imani uses for every 630 grams of butter = 750 grams
Required:
What Vic will think about the amount of butter in Imani's cookies
Solution;


Imani's cookies contains more cookies than Vic's cookies, what Vic will
think of the amount of butter in Imani's cookies is therefore;
(A) Imani's cookies have too much butter
Learn more about fractions here:
brainly.com/question/24378782