Number of calories in 8 ounces of orange juice = 100
Number of calories in 1 ounce of juice = [tex]\frac{100}{8}[/tex]
Number of calories in 4 ounces of juice = [tex]\frac{100}{8}*4=50[/tex] calories
Number of calories in 8 ounces of pineapple juice = 140
Number of calories in 1 ounce of juice = [tex]\frac{140}{8}[/tex]
Number of calories in 4 ounces of pineapple juice =
[tex]\frac{140}{8}*4=70[/tex] calories
Now the mixture has 50+70 = 120 calories in 8 ounce.
So, 1 ounce of mixture has = [tex]\frac{120}{8}= 15[/tex] calories.
To find the number of calories in Tia's juice mixture, we set up an equation based on the given information. Solving the equation, we find that there are 4 calories in each fluid ounce of Tia's juice mixture.
Explanation:To find the number of calories in Tia's juice mixture, we can set up an equation based on the information provided. Let's say x represents the number of calories in each fluid ounce of orange juice, and y represents the number of calories in each fluid ounce of pineapple juice. Since Tia mixed 4 fluid ounces of each juice, the total number of calories in the mixture would be 4x + 4y. We know that there are 100 calories in 8 fluid ounces of orange juice and 140 calories in 8 fluid ounces of pineapple juice. We can set up the equation:
100 calories = (8/4)x
140 calories = (8/4)y
Simplifying the equations, we have:
25x = 100
35y = 140
Solving for x and y, we find:
x = 4
y = 4
Therefore, there are 4 calories in each fluid ounce of Tia's juice mixture.
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please help !!!!!!!!!!!!
I can’t read the small sticky notes take a closer picture
Melissa is measuring 132 oz of rice into 1 pound containers. How many 1 pound containers will she need to hold all of the rice? How many ounces of rice will she need to buy if she needs 10 lb of rice? Please show your work
Answer:
Melissa will be able to hold 8 1/4 containers of rice.
Step-by-step explanation:
1 pound= 16 oz
132/16= 8.25
Answer:
Step-by-step explanation:
Let's work in pounds everywhere. Convert 132 oz of rice into lb:
132 oz 1 lb
---------- · ------------ = 8.25 lb
1 16 oz
Melissa will be able to fill 8 1-lb containers with rice, but will have 0.25 lb left over.
If she wants 10 lb of rice and is curious regarding how many oz that would be, take this 10 lb and multiply it by the conversion factor shown above:
10 lb 16 oz
-------- · --------- = 160 oz
1 1 lb
A plane takes off at an angle of elevation of 15° and travels in a straight line for 3,000 meters. What is the height of the plane above the ground at this instant?
Answer:
776.46 m
Step-by-step explanation:
According to the scenario it is a question of right angle triangle
To find the height of the plane above the ground we will use trigonometry identity.
sinФ = opposite / hypotenusehere Ф = 15°
opposite = height
hypotenuse = 3000m
Plug values in the formula above
sin(15) = height / 3000height = sin(15)(3000)
= 776 .46 m
(make sure your calculator is in degree mode)
Answer:
776.46 m
Step-by-step explanation:
The angle of elevation is 15 degrees which is measured from the horizontal.
The height above the ground is the opposite side of the triangle, the hypotenuse is the 3000 m and the angle of elevation is 15 degrees.
The sine ratio is the one one that ties the relationship;
Therefore;
sin 15 = x/3000
x = sin 15 × 3000
= 776.46 m
during Saturday's 12-mile hike Jim walk 5 miles in the first hour she then walk three more miles during the next hour what fraction of total hike had Jan walked at this point
enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths
Answer:
Length (cm) Width (cm)
6 18
8 24
10 30
12 36
Step-by-step explanation:
Length (cm) Width (cm)
6 (x3) 18
8 (x3) 24
10 (x3) 30
12 (x3) 36
Suppose Avery bought cheese to make grilled cheese sandwiches. The cheese comes in a pack of 32 slices. Avery uses 75 percent of the pack for the sandwiches. She eats 25 percent of the remaining cheese. How many slices of cheese are left?
20 points for answering my question!
Answer:
6 Slices Of Cheese Remaining
Step-by-step explanation:
50% of the cheese is 16 slices, so add on 50% + 25% and you get 24 slices...
if you do 32-24 you have 8 slices remaining and if you eat 25% of the 8 slices you have 6 slices left.
A and B are independent events. P(A)=0.60 and P(B)=0.30
what is P(A and B)
Answer:
0.18
Step-by-step explanation:
This is a very simple problem that can be solved with a simple formula.
When there are two independent events A and B, the formula is:
P(A and B) = P(A) * P(B)
So we just need to multiply P(A) and P(B) to get P(A and B).
Thus,
P(A and B) = P(A) * P(B) = 0.60 * 0.30 = 0.18
Answer:
P (A and B) = 0.18
Step-by-step explanation:
We are given that A and B are independent events which means that occurrence of one event does not have any impact on the other event.
Given that P(A)=0.60 and P(B)=0.30, we are to find the probability P(A and B).
To find this, we just simply need to multiply the probabilities of the two events.
P (A and B) = 0.60 × 0.30 = 0.18
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The image represent the graph of the function.
//Hope it helps.
Answer:
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE
Step-by-step explanation:
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE
c3=27
(type an integer or a simplified fraction.)
Answer:
c=3
Step-by-step explanation:
c^3 =27
Take the cube root of each side
(c^3) ^ 1/3 = 27 ^ 1/3
c = 3
We know that 3*3*3 = 27
a car is 15 ft long and 6 feet wide it is parked on a rectangular driveway with an area of 112 sqaure feet how much of the driveway is mot cover hy the car?
Answer:
22 sqft.
Step-by-step explanation:
Calculate the area of the car: (15*6)=90
Subtract the area of the car from the area of the driveway to find the area leftover: 112-90=22 sq ft not covered.
a car made a 60 mile trip at an average speed of 20 mph. On the return trip, the car's average speed was 30 mph. What was the average speed of the car car for the entire two-way trip?
Answer:
The average speed of the car is [tex]s = 24\ mph[/tex]
Step-by-step explanation:
The average speed is defined as
[tex]s = \frac{d_1}{t}[/tex]
Where
s is the speed
d is the displacement made
t is the time it took to perform the displacement d.
On the first trip the speed was 20 mph and the displacement was 60 miles. Then we find the time [tex]t_1[/tex]
[tex]s = \frac{d}{t}[/tex]
[tex]t_1 = \frac{d_1}{s}\\\\t_1 = \frac{60}{20}\\\\t_1 = 3\ h[/tex]
On the second trip the speed was 30 mph and the distance traveled was the same: 60mph
We calculate [tex]t_2[/tex].
[tex]t_2 = \frac{60}{30}\\\\t_2 = 2\ h[/tex].
Now we can calculate the average speed for the entire route
[tex]s = \frac{d_1 + d_2}{t_1 + t_2}\\\\s = 60 +\frac{60}{3} +2\\\\s = \frac{120}{4}\\\\s = 24\ mph[/tex]
Answer:
Speed = 24 mph
Step-by-step explanation:
Distance traveled in the two way trip
2*(60 miles) = 120 miles
Time it took to arrive to the destination (first travel, 60 miles, 20mph)
Speed = distance/ time
t = distance/ speed = (60 miles) / (20 mph) = 3 hours
Time it took to come back (return travel, 60 miles, 30 mph)
t = (60 miles) / (30 mph) = 2 hours
Total time = (3 +2) hours = 5 hours
So the average speed is
Speed = (120 miles) / (5 hours) = 24 mph
x = 2.5 5y + 2x = -10
Answer:
y = -3, x = 2.5
Step-by-step explanation:
5y + 2x = -10 if x = 2.5
5y + 2(2.5) = -10
5y + 5 = -10
5y = -15
y=-3
A triangular pyramid has a height of 27 yards and a base with an area of 210 square yards.
What is the volume of the pyramid?
Answer:
1890 yd³
Step-by-step explanation:
V = ½Ah
= ½ × 210 × 27
= 1890 yd³
The volume of the pyramid is 1890 yd³.
A single die is rolled twice. Find the probability of rolling a 5 the first time and a 2 the second time.
Answer:
= 1/36
Step-by-step explanation:
The probability of roiling a 5 is 1/6, while,
that of rolling a 3 is 1/6
Therefore;
The probability of having a 5 the first time and a 3 the second time will be the product of the probability of having a 5 and the probability of having a 3.
= 1/6 × 1/6
= 1/36
Answer:
The correct answer is 1/36
Step-by-step explanation:
It is given that, single die is rolled twice
The sample space consists of,
(1, 1), (1, 2) ....... (1, 6)
.
.
(6, 1) ............. (6, 2)
Total = 36
To find probability
The possible outcome is (5, 2)
The probability of rolling a 5 the first time and a 2 the second time = 1/36
the correct answer is 1/36
What is the solution to this inequality x-8>-3
Move all terms not containing x to the right side of the inequality.
Answer: x > 5
The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 10 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle?
C(-1, 1), D(1,1)
C(-1, -2), D(1,-2)
C(-1, 5), D(1, 5)
C(-1, -7), D(1, -7)
Answer: Second option.
Step-by-step explanation:
As you can see in the graph attached, the lenght of the side AB is 2 units.
The formula for calculate the area of rectangle is:
[tex]A=l*w[/tex]
Where l is the length and w is the width.
Therefore, if the area of the rectangle to be drawn is 10 square units and you know AB=2 units and CD lies vertically below BA , then you can solve for the length:
[tex](10units^2)=(2units)l\\l=5units[/tex]
Therefore C and D are located at:
[tex]C=B(-1, 3-5)=> C(-1,-2)[/tex]
[tex]D=A(1, 3-5)=> D(1,-2)[/tex]
Answer:
The correct answer is,
Option 2). C(-1, -2), D(1,-2)
Step-by-step explanation:
It is given that,If the area of the rectangle to be drawn is 10 square units
To find the length of rectangle
From the figure we get length of AB = 2 units
Therefore Area = length * breadth = 10
Therefore length = 10/2 = 5 units
To find the points of C and D
we have B(-1, 3)
The point C is 5 units below the point B
Therefore C(-1, 3-5) = C(-1,-2)
we have A(1, 3)
The point D is 5 units below the point B
Therefore D(1, 3-5) = A(1,-2)
Therefore the correct answer is option 2
Solve the equation.
37 – 18 + 8w = 67
Answer:
6
Step-by-step explanation:
37 – 18 + 8w = 67
(37-18)+8W=67
19+8W=67
8W=67-19
=48
W=48/8
=6
Answer:
6
Step-by-step explanation:
[tex]37-18+8w=67\\19+8w=67\\19-19+8w= 67-19\\8w=48\\8w/8=48/8\\w= 6[/tex]
Which side lengths form a right triangle
Answer:
b
8+3^2=17 ..
Answer:
B
Step-by-step explanation:
Please, please try to understand the concept before turning to here.
TO REITERATE YET AGAIN, use the Pythagorean Theorem.
a^2+b^2=c^2.
If this equation checks out, it is a right triangle.
What is 5% of 34? If you know then plz answer XD
Answer:
1.7
Step-by-step explanation:
Of means multiply and is means equals
W = 5% *34
Change to decimal form
W = .05 *34
W =1.7
Select the ordered pair that is a solution to the equation represented by the graph.
I believe it is because it would be he most simplistic answer to be honest because for example 10,8 it is the same as 5,4 so u would put 5,4 because it is simplified so put (2.1,0) as your answer
The ordered pair that is a solution to the equation represented by the graph is (-2.5, 3).
Here's my reasoning:
- The graph intersects the x-axis at (2.1, 0): This means that any point on the x-axis, including (2.1, 0), has a y-value of 0. However, this doesn't guarantee that (2.1, 0) is a solution to the equation itself.
- The graph passes through the point (-2.5, 3): This means that the equation of the graph must yield a y-value of 3 when x = -2.5. Therefore, (-2.5, 3) is a solution to the equation.
The other points are not on the graph itself:
- (0, 0.6) is above the x-axis but not on the graph's line.
- (-1, 1.8) is also above the x-axis but not on the graph's line.
Therefore, the only ordered pair that is a solution to the equation represented by the graph is (-2.5, 3).
Explain why vertical angles cannot be adjacent angles?
Adjaadjacent angles are angles that are the vertex but vertical angles are lines that cross each other.
Jayden places a rectangular doormat in front of his door. The doormat has an area of [tex]\frac{1}{3}[/tex] square foot and a width of [tex]\frac{1}{2}[/tex] foot. What is its length?
Answer:
2/3 or 0.6667
Step-by-step explanation:
L (length) = A/W (area/width)
L = 1/3 / 1/2
1/3 * 2/1 = 2/3
Simplify the expression.
52(53⋅52)
The answer is 143312
Answer:
it is 143312
what would the common denominator be for 1/2 1/3 and 1/5?
Answer:
30
Step-by-step explanation:
1/2 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
1/3 3 6 9 12 15 18 21 24 27 30
1/5 5 10 15 20 25 30
In a field, Raja, Mary, and Miguel are standing in the shape of a triangle. Raja is 128 feet from Mary and Mary is 143 feet from Miguel. Which of the following is a possible distance between Raja and Miguel?
I think the possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Answer:
The possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Step-by-step explanation:
The person who answered this is correct, also, please mark me brainliest, i took the test and got 100% hope this helps:)
Can you plz help me i need the anwser will give brainliest
Answer:
well you got the answer correct
Step-by-step explanation:
find the area
first 14+7+5+5
next add the total by 36
finally you'll get the answer
Answer:
36 + total =
I need help with the Pythagorean theorem
Answer:
9.4 inches
Step-by-step explanation:
The distance between the opposite corners is the diagonal.
We can find this using the Pythagorean theorem. The diagonal is the hypotenuse.
a^2 +b^2 = c^2
8^2 +5*2 = c^2
64+25 = c^2
89=c^2
Take the square root of each side
sqrt(89) = sqrt(c^2)
sqrt(89) = c
9.433981132=c
Rounding to the nearest tenth
9.4 inches = c
How would you describe this triangle
Answer:
Acute
Step-by-step explanation:
All the angles are less than 90 degrees
Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/2 inch = 1 foot. In the drawing, the bathroom measures 3 inches by 3 1/2 inches. Amy is purchasing square tiles that measure
1/2 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for her bathroom floor?
Answer:
$78.00
Step-by-step explanation:
First, you would have to figure out how many tiles she would need. 3 inches is equal to 6 feet according to the scale part, and then it would be 12 tiles because it is half a foot for the tiles. Then 3 1/2 would be 7 feet, and then 14 tiles. 12 plus 14 equals 26, and 26 times $3.00 is $78.00
Amy will pay $3.00 for the tiles for her bathroom floor.
What is Fraction?A fraction represents a part of a whole.
The scale is 1/2 inch = 1 foot.
Length of bathroom = 3 inches × (1 foot / 24 inches)
= 1/8 feet
Width of bathroom = [tex]3\frac{1}{2}[/tex] inches(1 foot / 24 inches)
= 7/24 feet
We need to calculate the total area of the bathroom floor in square feet:
Area of bathroom floor = (length) x (width)
= (1/8 feet) x (7/24 feet)
= 7/192 square feet
Since each tile measures 1/2 foot on each side, the area of each tile is:
Area of one tile = (1/2 feet) x (1/2 feet) = 1/4 square feet
Total area of tiles needed = (area of bathroom floor) / (area of one tile)
= (7/192 square feet) / (1/4 square feet)
= 7/48 tiles
Amy will need to purchase 1 tile at a cost of $3.00 per tile, so the total cost of the tiles for her bathroom floor will be:
Total cost = (number of tiles) x (cost per tile)
= 1 tile x $3.00/tile = $3.00
Hence, Amy will pay $3.00 for the tiles for her bathroom floor.
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Need help with this question plz
Answer:
A (3,-2)
Step-by-step explanation:
x = t-1
y = -sqrt(t)
Let t= 4
x = 4-1 = 3
t = -sqrt(4) = -2
The (x,y) coordinate is (3,-2)