Answer:
4x=4
Step-by-step explanation:
first do the parenthesis and do -1 * 7x and -1 * -2
3x - 7x + 2 + 2
3x - 7x and the 2+2= 4x+4
Answer:
y<13/2
Step-by-step explanation:
5y + 4 < 3y + 17
5y-3y<-4+17
2y<13
y<13/2
Answer:
y<6.5
Step-by-step explanation:
5y+4<3y+17
Subtract 3 from both sides
2y+4<17
Subtractc4 from both sides
2y<13
Divide both sides by 2
y<6.5
cups all-purpose flour.
• 31/2 teaspoons baking powder.
• 1 teaspoon salt.
1 tablespoon white sugar.
• 1 1/4 cups milk.
• 1 egg.
• 3 tablespoons butter.
1.) How much of each of the ingredients do you need to make 16 pancakes, 4 pancakes, 12pancakes? Explain which operations with fractions you used to obtain your answer.
Answer:
To make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
To make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
To make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
see explanation below
Step-by-step explanation:
If the ingredients to make 1 pancake is as follows:
1 1/2 cups all-purpose flour; 31/2 teaspoons baking powder; 1 teaspoon salt.
1 tablespoon white sugar.; 1 1/4 cups milk; 1 egg; and 3 tablespoons butter.
Then to make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
cups all-purpose flour =16× 1 1/2
= 16×3/2 = 24
teaspoons baking powder = 16 ×7/2 = 56
teaspoon salt = 1×16 = 16
tablespoon white sugar= 1×16 = 16
cups milk= 16×5/4 = 20
egg= 1×16 = 16
tablespoons butter= 3×16 = 48
Then to make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
cups all-purpose flour =4× 1 1/2
= 4×3/2 = 6
teaspoons baking powder = 4 ×7/2 =14
teaspoon salt = 1×4 = 4
tablespoon white sugar= 1×4 = 4
cups milk= 4×5/4 = 5
egg= 1×4 = 4
tablespoons butter= 3×4 = 12
Then to make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
cups all-purpose flour =12× 1 1/2
= 12×3/2 = 18
teaspoons baking powder = 12 ×7/2 =42
teaspoon salt = 1×12 = 12
tablespoon white sugar= 1×12 = 12
cups milk= 12×5/4 = 15
egg= 1×12 = 12
tablespoons butter= 3×12 = 36
The operation applied is multiplication with each fraction.
Which event has a theoretical probability of exactly Three-fourths? Select three options.
not picking a square
picking a square
picking a triangle
picking a shape that has only straight edges
not picking a circle
Theoretical probability formula: Favorable Outcomes/All Possible Outcomes
So let's find the theoretical probability for each option.
"Not picking a square"
So, there are 2 squares out of the 8 total shapes (2 circles + 4 triangles + 2 squares) So do 8-2=6... This is subtracting the number of squares out. So we are now left with 6/8.. Reduce the fraction: GCF is 2, so 6/8 simplifies to 3/4. So, "Not picking a square" is an option!
"Picking a square"
Okay so there are 2 squares (favorable outcome) out of 8 shapes in total (all possible outcomes) so the fraction is 2/8. Now simplify: GCF = 2, so 2/8 = 1/4. "Picking a square" is NOT an option
"Picking a triangle"
There are 4 triangles out of 8 shapes, so the fraction is 4/8 which = 1/2. The theoretical probability of picking a triangle is 1/2 and thus NOT an option.
"Picking a shape that has only straight edges"
So this basically means every shape that's not a circle. So, there are 4 triangles + 2 squares = 6 total shapes with straight edges. So there are 6 shapes with straight edges out of 8 total shapes: 6/8 reduces to 3/4. "Picking a shape that has only straight edges" IS an option! :D
LASTLY!
"Not picking a circle"
There are only 2 circles out of 8 total shapes, so 8-2=6 so the fraction is 6/8. This reduces to 3/4. "Not picking a circle" Is an option!
CORRECT ANSWERS:
Not picking a square
Picking a shape that has only straight edges
Not picking a circle
Have a good day!
Answer:
A, D, and E
Step-by-step explanation:
got it right on edge
A. (2x2 + 1)(3x2 + 1)
+
B. (5x + 1)(x+1)
C. (2x + 1)(3x + 1)
O D. (3x + 1)(2x+2)
Answer:
C
Step-by-step explanation:
The top is 2x + 1 and the left is 3x + 1
Answer:
C
The top is 2x + 1 and the left is 3x + 1
Answer:
The absolute value of a number is the distance of the number from zero on the line. The line has always values increasing from left to right. Right side is greater than the left side.
Every absolute value has two numbers on the line like absolute value of 1 has two points, one is 1 and the other is -1. Hence the absolute value of 1.75 also has two numbers on the line one is 1.75 and other is -1.75.
So the point 1.75 can be found on the right side of zero at a distance of 1.75 and in the middle of point 1.5 and 2. Again -1.75 point can be found at the left side of zero at a distance of 1.75 and in the middle of -1.5 and -2.
Note: Refer the image attached. The Red colour marks in the image attached shows the location of both numbers on the number line.
Answer:
-1.75 and 1.75
Step-by-step explanation:
The absolute value is the distance that certain number has from it's position to the number 0.
There are only two numbers that have a distance of 1.75 to the number 0: -1.75 and 1.75.
The location on the graph must be marked on the line that is between -1.5 and -2, and between 1.5 and 2.