Answer:
Each piece weighed 1/10 of a pound.
Step-by-step explanation:
We have 3/5 of a pound and we want to divide it by 6 equal pieces for each student. 6 equal pieces is the same as 6/1.
In order to divide 3/5 by 6/1 we need to invert the 6/1 and multiply. So, it becomes 3/5 x 1/6. First, we multiply the numerators: 3x1=3 then we multiply the denominators: 5x6=30. The result is 3/30, which can be reduced by dividing both the numerator and denominator by 3. 3/3=1 and 30/3=10. So, the result is 1/10.
Solve the equation, showing each step of the solution.
1/2 (x – 10) = -4
Answer:
x=2
Step-by-step explanation:
first distribute the 1/2
1/2x - 5=-4
then add 5 to both sides
1/2x=1
multiple by 2 on both sides
x=2
In AWXY, X = 1.2 cm, ZX=45° and Y=108°. Find the length of w, to the nearest 10th
Answer:
The length of w is 0.8 cm
Step-by-step explanation:
In Δ WXY
x is the opposite side to ∠X
w is the opposite side to ∠W
y is the opposite side to ∠Y
∵ m∠X = 45°
∵ m∠Y = 108
∵ The sum of the measures of the interior angle of a triangle is 180°
∴ 45 + 108 + m∠W = 180
→ Add the like terms in the left side
∵ 153 + m∠W = 180
→ Subtract 153 from both sides
∴ m∠W = 27°
Now we can use the sine rule to find the length of w
∵ [tex]\frac{w}{sin(W)}[/tex] = [tex]\frac{x}{sin(X)}[/tex] = [tex]\frac{y}{sin(Y)}[/tex]
→ Use the first 2 ratios to find w
∵ x = 1.2 cm
∵ [tex]\frac{w}{sin(27)}[/tex] = [tex]\frac{1.2}{sin(45)}[/tex]
→ By using cross multiplication
∴ w × sin(45) = 1.2 × sin(27)
∴ w sin(45) = 1.2 sin(27)
→ Divide both sides by sin(45)
∴ w = 0.7704474263
→ Round it to the nearest tenth
∴ w = 0.8 cm
∴ The length of w is 0.8 cm
Please help me out!!!!!
Answer:
k = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
I assume the function is
f(x) = 2x³ - kx² + x - 8k
2(2)³ - k(2)² + 2 - 8k = 2
- 12k + 16 = 0
3k - 4 = 0 ⇒ k = [tex]\frac{4}{3}[/tex]
Find the value of k so that the binomial (x – 3) is a factor of the function f(x) = 3x + 2x + kr - 3.
A. 32
B. -32
C. 13
D. -13
E. -22
Question
Precious bought 4į gallons of milk for $22. How much is one gallon of milk?
Answer:
5, remainder 2
Step-by-step explanation:
22 divided by 4 is 5 and remainder 2
part:A A cylinder has a height of 14 cm and a diameter of 6 cm. What is the measurement of its diagonal?
part:B What is the height of this pyramid?
Answer:
for A i think its 2.333
and i guess thats what its height
Pedro paid $6.00 for 4 organic peaches. How much did he pay per peach?
A -$24.00 per peach
B- $1.50 per peach
C- $0.60 per peach
D-$0.25 per peach
On Monday, the low temperature outside was 32 degrees above zero. On Christmas, it was 5 degrees below zero. What is the difference in the two temperatures?
Answer:
Difference in temperatures = 37 degree
Step-by-step explanation:
Given:
Temperature above zero = 32 degree
Temperature below zero = -5 degree
Find:
Difference in temperatures
Computation:
Difference in temperatures = Temperature above zero - Temperature below zero
Difference in temperatures = 32 - (-5)
Difference in temperatures = 37 degree
A relation is plotted as a linear function on a coordinate plane starting at point C at (3, –2) and ending at point D at (–2, 3). What is the rate of change for the linear function and what is its initial value?The rate of change is ______ and the initial value is ______.
Given:
A linear function starting at point C at (3, –2) and ending at point D at (–2, 3).
To find:
The rate of change and the initial value.
Solution:
If a linear function passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of linear function is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given linear function passes through (3,-2) and (-2,3). So, the equation is
[tex]y-(-2)=\dfrac{3-(-2)}{-2-3}(x-3)[/tex]
[tex]y+2=\dfrac{3+2}{-5}(x-3)[/tex]
[tex]y+2=\dfrac{5}{-5}(x-3)[/tex]
[tex]y+2=-(x-3)[/tex]
Subtracting 2 on both sides, we get
[tex]y=-x+3-2[/tex]
[tex]y=-x+1[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], where, m is slope and b is y-intercept, we get
[tex]m=-1[/tex] and [tex]b=1[/tex]
Therefore, the rate of change is -1 and the initial value is 1.
if 3^-x=2 what does 3^2x equal?
Answer:
nice question...
so here we go
3^ -x = 1 / 3^x
so 1/ 3^x = 2 so 3^x = 1/2
we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)
recall that 3^x =1/2
so now according to question we have to find the value of 3^2x = 1/2 * 1/2 = 1/4
Step-by-step explanation:
The given expression is an application of an exponential equation. The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
Given that [tex]3^{-x}=2[/tex]
This can also be expressed as [tex]\frac{1}{3^x} =2\\[/tex]
Cross multiply
[tex]\frac{1}{3^x} =2\\3^x = \frac{1}{2}[/tex]
Take the square root of both sides
[tex](3^x)^2 = (\frac{1}{2} )^2\\3^{2x} = \frac{1}{4}[/tex]
The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]
Learn more here: https://brainly.com/question/16088078
Betty can 100 words per minute. Bob can type 75 words per minute. In 6 minutes, how many more words can Betty type than Bob?
Answer:
150
Step-by-step explanation:
Betty can type 100*6=600
Bob types 75*6=450
Betty-Bob (600-450)=150
The triangles formed by a man, a pole, and a point on the ground between them, are similar. What is the height of the pole?
In trapiziod ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD, if BO=6 cm and A/O=3/1
Answer:
the length of the diagonal BD is 8 cm
Step-by-step explanation:
The computation of the length of diagonal BD is as follows
Here the trapezoid diagonals divides each other in an equivalent ratio
So, equation would be
AO ÷ OC = OB ÷ OD
Now put there values to the above equation
3 ÷ 1 = 6 ÷ OD
3OD = 6
Now divided it by 3 in both the sides
OD = 2
Now the BD would be
= BO + OD
= 6 + 2
= 8 cm
hence, the length of the diagonal BD is 8 cm
Find the slope between the
following points:
(-3,3), and (5, 10)
Answer:
7/8
Step-by-step explanation:
I got it right
Answer:
7/8
Step-by-step explanation:
cuz
At a football game, you bought
x hot dogs for $2.50 each and x candy bars
for $1.50 each. If admission cost $8.50,
write an expression in simplest form that
represents the total spent at the game.
Answer:
[tex]y=4x+8.5[/tex]
Step-by-step explanation:
[tex]b=8.5[/tex] the initial cost is $8.5
[tex]m=2.5+1.5[/tex] the price changes by $4 for every hotdog & candy bar purchased
The final equation is [tex]y=4x+8.5[/tex]
Answer:
$12.00
Step-by-step explanation:
$8.50 + $2.50 = $10.00 + $1.50 = total $12.00
could someone please help me?
Answer:
i-1
Step-by-step explanation:
2i 1−i = 2i(1+i)(1−i)(1+i)=2(i−1)1+i−i+1=2(i−1)2=i−1
18. The average honeybee can travel 10.5 feet per
second. How many feet can the honeybee travel in
3.7 seconds?
Answer:
38.85 feet
Step-by-step explanation:
If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.
Use the slope formula. What is the slope of a line that passes through the points (3. 12) and (4. 16)? Type the
number
Answer:
The slope is 4.
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=16-12/4-3
m=4/1
m=4
Answer:
I think its m = 1/4
Step-by-step explanation:
subtract 4 from 3 and 16 from 12 and you will get the answer
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos
cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of
$78.50 and sold a total of 87 nachos and sodas combined. Which system of equations
represents this situation?
Answer:
x+y = 87
1.5x+0.5y = 78.5
Step-by-step explanation:
Let x = number of nachos sold and y = number of sodas sold
x+y = 87 because that's the total number of nachos and sodas he sold
1.5x+0.5y = 78.5 because nachos cost $1.50 and sodas cost $0.50 and David made a total of $78.50
An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?
please help i really need help A.S.A.P :)
Answer:
So you know that the height that is visible above x=0 is 74.98 m From x=0 below it has a total height of 518.16m to the sea floorThat tells us that we have two parts account for
74.98+518.16m = 593.14 mStep-by-step explanation:
i know that I'm indian n u r Pakistani but can't we be friends I don't see my friend from where they belong just I need ur heart with me
Laquan will give each guest at his party ¹⁄₂ of a cake. How many cakes should he order if 17 people are attending his party?
Answer:
9 cakes
Step-by-step explanation:
If each of the 17 people will eat 1/2 of a cake, you would 17*1/2 cakes. This is 17/2, or 8.5. You cannot usually order 8.5 cakes, so you would round up. 9 cakes.
What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right ΔIn the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
7th grade math , help me please :)
Answer:
Done!
Step-by-step explanation:
1. 4 is a coefficient
x is a variable
12 is a constant
2. a is a variable
3 is a coefficient
b is a variable
what does (2,12) represent
Answer:
An ordered pair
Step-by-step explanation:
What is 9 plus 10 equals ?
Answer:
19
Step-by-step explanation:
9+10=19
1. If the area of the rectangle is 12 in squared and the base is 4/11, What is the height of the
rectangle?
33 in
48/11 in
4 4/11 in
12/11 in
WILL GIVE BRAINLEST
Answer:
33 jdkdkskfjsksjaks
Step-by-step explanation:
4/11×x=12
x=33
Jailene is mixing marshmallows and
Rice Krispies to make Rice Krispy
treats. The number of cups of
marshmallows, m, needed for r
cups of Rice Krispy r is described by
the equation r= 1.5m.
How many cups of marshmallows
are needed to mix with 3 cups of
Rice Krispies?
Answer:
m = 2
Step-by-step explanation:
The number of cups of marshmallows, m, needed for r cups of Rice Krispy r is described by the equation :
r= 1.5m ...(1)
We need to find the no. of marshmallows are needed to mix with 3 cups of Rice Krispies.
Pu r = 3 in equatin (1) :
[tex]m=\dfrac{r}{1.5}\\\\m=\dfrac{3}{1.5}\\\\m=2[/tex]
So, there are 2 cups of marshmallows .
Cassie bought 2 apples for $4. Olivia bought 5 apples for $15. How much more money did Oliva spend per apple? Use the dollar sign!
Answer:
$1
Step-by-step explanation:
To find out how much more money Olivia spent per apple, we need to find out how much each spent on one apple.
Cassie:
2 apples --- $4
1 apple --- $4 ÷ 2 = $2
Olivia:
5 apples --- $15
1 apple --- $15 ÷ 5 = $3
Difference per apple = $3 - $2
= $1
Which of the following equations Are a linear function.
Answer:A IS THE LINEAR FUNCTION
Step-by-step explanation: NO NEED FOR EXPLANATION
Line b has a slope of
Line c is parallel to line b. What is the slope of line c?
Answer:
[tex]\frac{-5}{9}[/tex]
Step-by-step explanation:
The slope of two parallel lines is the same. As long as the y-intercept is different then, the lines are parallel. Therefore, if the slope of line b is [tex]\frac{-5}{9}[/tex] then the slope of line c must also be [tex]\frac{-5}{9}[/tex].
