Question:
Heather bought a large bag of bird seed and used 24% of the bag. How many pounds were originally in the bag if there are 15.2 pounds left?
Answer:
There were 20 pounds of seed in bag originally
Solution:
Given that,
Heather used 24 % of bag
There are 15.2 pounds left
To find: Pounds of seed in bag originally
Let "x" be the pounds of seed in bag originally
From given,
100 % - 24 % = 76 %
Thus 76 % of bag is unused
Also, given that there are 15.2 pounds left
Therefore, we can say,
76 % of x = 15.2
[tex]76 \% \times x = 15.2\\\\\frac{76}{100} \times x = 15.2\\\\0.76x = 15.2\\\\x = \frac{15.2}{0.76}\\\\x = 20[/tex]
Thus there were 20 pounds of seed in bag originally
Final answer:
The original weight of the seed bag is calculated by setting up a proportion comparing 76% to 15.2 pounds and 100% to the original weight, leading to the solution of 20 pounds.
Explanation:
To determine the original weight of the bag of seed, we need to calculate what 100% would represent if 15.2 pounds is what remains after using 24% of the bag. This means that 76% (100% - 24%) of the seed bag is equal to 15.2 pounds. We can set up a proportion where 76% is to 15.2 pounds, as 100% is to X pounds (where X represents the original weight).
The equation is 76/100 = 15.2/X. To solve for X, we multiply both sides by X and divide both sides by 76 to isolate X on one side of the equation, which gives us X = (15.2 * 100) / 76. After calculating, we find that the original weight (X) of the bag is 20 pounds.
what is the answer?
Answer: It’s A
Step-by-step explanation:
If you reflect over the y axis your point changes
When simplified, the expression (x Superscript one-eighth Baseline) (x Superscript three-eighths Basleline) is 12. Which is a possible value of x?
6
24
144
256
Step-by-step explanation:
We have,
[tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]
To find, the possible value of x = ?
∴ [tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]
⇒ [tex]x^{\dfrac{1}{8}+\dfrac{3}{8}}=12[/tex]
Using the exponential identity,
[tex]a^{m} a^{n} =a^{m+n}[/tex]
⇒ [tex]x^{\dfrac{1+3}{8}}=12[/tex]
⇒ [tex]x^{\dfrac{4}{8}}=12[/tex]
⇒ [tex]x^{\dfrac{1}{2}}=12[/tex]
Squaring both sides, we get
[tex](x^{\dfrac{1}{2}})^2=(12)^2[/tex]
⇒ [tex]x^{{\dfrac{1}{2}}\times2}=144[/tex]
⇒ x = 144
∴ The possible value of x = 144
Thus, the required 'option C) 144' is correct.
Answer:
144
Step-by-step explanation:
In circle D, mGEC is 230º. What is the measure of ∠GDC ? 70º 130º 170º 360º A circle with center D has points G, F, C and E on the circumference. Points G and D are connected by a line segment. Points D and C are connected by a line segment. Point F is between points G and C and point E is to the left of point G.
The answer is 130. I did the quiz and got it right.
I really hope this ends up helping you. You got this!
The measure of ∠GDC is 130° as it is calculated by subtracting the arc GEC's measure from the total degrees in a circle, which is 360°.
If the measure of arc GEC in circle D is 230°, to find the measure of ∠GDC,
we recall that the measure of an arc in a circle is equal to the measure of the central angle that intercepts that arc. Since ∠GDC is a central angle intercepting arc GEC, its measure must also be 230°.
However, because we are looking for the measure of the angle inside the circle, we must subtract this angle from the total 360° of the circle.
So,
360° - 230°
= 130°
So, the measure of ∠GDC is 130°.
what is (-100)a×56 and thanks
What is the long division for 672 divided up 37?
Answer:
18.1621622 or 18.162
Step-by-step explanation:
Answer:
Attached in image below!
A company rents two storage units .both units are cube shaped. What is the difference in volume of the two storage units? Note that the volume of acutely is s3, where a is the side length. Explain
Answer:
is there possibly a photo of the two storage units?
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube: Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
How to find the difference in volume of the two storage unitsTo find the difference in volume between two cube-shaped storage units, you'll need to know the side lengths of both cubes. The volume of a cube is given by [tex]V = s^3[/tex], where "V" is the volume, and "s" is the side length.
Let's say the side length of the first cube is "s1" and the side length of the second cube is "s2." Then, the volume of the first storage unit is [tex]V1 = s1^3,[/tex] and the volume of the second storage unit is V2 = [tex]s2^3.[/tex]
To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube:
Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]
This formula will give you the numerical value of the difference in volume between the two storage units. If you have specific side lengths for both cubes, you can substitute those values into the formula to calculate the exact difference in volume.
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Need help quickly please!!!
Answer:
8
Step-by-step explanation:
Bobby has a piece of rope measuring 4 yards. How many 1-inch strips can be cut from the rope?
Answer:
144
Step-by-step explanation:
Step 1: Convert 4 yards into feet
1 yard = 3 feet
4 * 3 = 12 feet
Step 2: Convert 12 feet into inches
1 foot = 12 inches
12 * 12 = 144 inches
Answer: Bobby can cut 144 1-inch strips.
Answer:
144
Step-by-step explanation:
All you would need to know is that there is 36 inches in one yard and then you would just multiply the 36 by four to make the four yards total
Simplify: Log3 27 = x can anybody help me with this?? Thank you!!
Answer:3
Step-by-step explanation:
3 ^x= 27
X=3
-5(x - 1) greater than -40
Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
A traffic signal is green for 20 seconds,
then yellow for 5 seconds, then red for
25 seconds. When you reach the signal,
what is the probability it is green?
Answer:
Step-by-step explanation:
green for 20 seconds
yellow for 5 seconds
red for 25 seconds
total of 50 seconds
P(green) = 20/50 = 2/5
HELP QUICK I NEED TO KNOW THIS Kiva’s family is moving and he helps by carrying a 21-pound box to the truck. It is 65% lighter than the box that his father carries to the truck. What is the weight of the box that Kiva's father carries?
To determine the weight of the box Kiva's father carries, we calculate 21 pounds as 35% of the father's box weight and find it to be 60 pounds.
Explanation:Kiva's family is moving and he carries a 21-pound box which is 65% lighter than the box his father carries. To find the weight of the box that Kiva's father carries, we need to determine what weight would be 65% lighter by the smaller box's weight. Let's denote the father's box weight as F. We know that 21 pounds is equal to 35% of the father's box's weight because 100% - 65% = 35%. So, we have:
Represent the relationship as an equation: 0.35F = 21.Divide both sides of the equation by 0.35 to find F: F = 21 ÷ 0.35.Calculate F to find the father's box weight: F = 60 pounds.Therefore, the weight of the box that Kiva's father carries is 60 pounds.
express 0.003597 to three significant figures
Answer:
0.00360.
Step-by-step explanation:
Leading zeros in a number are not significant, so your number has four significant figures.
You must drop the 7 from 0.003597.
Since 7 is greater than 5, you must add 1 to the 9
[tex]\begin{array}{r|l}1& \\0.00359 &\text{7}\!\!\!\!\diagup \\\mathbf{0.00360} & \\\end{array}[/tex]
Final answer:
To express 0.003597 to three significant figures, round to 0.00360; in exponential notation, this is 3.60 × 10^-3.
Explanation:
To express 0.003597 to three significant figures, we identify the first non-zero digit as the starting point of significant figures.
We count three digits from there, which gives us 0.00360 when rounding up the seventh which is in the fourth place after the decimal. In exponential notation, this would be 3.60 × 10-3.
Write an equation (in y-form) or the line that is parallel to y = -3x + 1 and contains (4, 2)
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal. A line parallel to[tex]y = -3x + 1[/tex], will have the same slope -3. Thus, the equation will be of the form:
[tex]y = -3x + b[/tex]
We substitute the given point and find "b":
[tex]2=-3(4)+b\\2=-12+b\\2+12=b\\b=14[/tex]
Finally, the equation is:
[tex]y = -3x + 14[/tex]
Answer:
[tex]y = -3x + 14[/tex]
What is the coefficient of the first
degree term?
The Coefficient of the first-degree term is called as Leading coefficients.
Step-by-step explanation:
Usually, the coefficient is said to be the numerical value which is in product with the variable in the equation or expression. The variable with no number means its Coefficient is considered as 1.The first-degree term is meant to be the term that is multiple with the higher power in the exponential.They can be positive or negative. But the term with the higher power is usually written first in an equation.So in that equation, the first term is called as a leading term and it has the variables which are in multiple with the leading term it is called as leading coefficients.2 Points
What is the measure of ZBPU?
ОВ. 40°
PREVIOUS
Answer:
80
Step-by-step explanation:
40 times 2=80
Have a nice day!!!
if conditional is true and it’s_____ is true, then the conclusion is true
Answer:
hypothesis
Step-by-step explanation:
The statement "if p, then q" is a conditional statement.
p----->is the hypothesis
q----->is the conclusion
This conditional is true if it's hypothesis true and the conclusion is true.
This is just one out three situations for which the conditional is true.
jeremy rides his bike at a rate of 12 miles per hour below is a table that represents the number of hours and miles Kevin rides assume both bikers ride at a constant rate which biker rides at a greater speed
The correct answer would be, Jeremy rides at a greater speed than Kevin.
Step-by-step explanation:
Jeremy rides at a rate of 12 miles per hour
Kevin rides at a rate given in the table
Let Y be the distance traveled by Jeremy
And X be the number of hours
Then for Jeremy:
y/x = 12/1
=> y= 12 x
For Kevin:
(46-23)/(4-2)
= 23/2
= 11.5
So for Kevin, Y = 11.5 x
So when Jeremy's and Kevin's rates are compared,
12 > 11.5
which means Jeremy rides at a greater speed.
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To determine which biker rides at a greater speed, Jeremy's speed of 12 miles per hour must be compared with data from Kevin. Without specific information about Kevin's travel distance and time, we cannot conclude who is faster.
Explanation:To determine which biker rides at a greater speed, we must first establish the speed at which Jeremy rides his bike. Then we need to compare that speed to the information given for Kevin. Unfortunately, the question as stated does not provide specific details for Kevin's hours and miles. However, we know that Jeremy rides at 12 miles per hour.
Speed is calculated by dividing the distance traveled by the time it takes to travel that distance. For example, if a cyclist like Jeremy travels 12 miles in 1 hour, his speed is 12 mph. In another example, if Billy rides 6 miles in 0.5 hours (30 minutes) at a speed of 12 km/h, we can calculate his speed in miles per hour by realizing that 1 kilometer is approximately 0.621371 miles.
Without Kevin's data, we cannot compare his speed to Jeremy's directly. To determine which biker rides faster, we would need information on the distance Kevin travels and the time he takes to do so.
what is (7,8.5) reflected over the y-axis
Answer:
(-7,8.5)
Step-by-step explanation:
On a reflection off the y-axis, the x value gets negated. So 7 would become -7.
which expression is equivalent to 2(2x+1)+3x+3
Answer:
9x+6
Step-by-step explanation:
3 x 2= 6x 3 x 1= 3
6x + 3 + 3x + 3
6x + 3x = 9x
3 + 3 =6
Terri brought 1.74 meters of rope. Gracie brought 1.64 meters of rope. Who brought more rope
Answer: Terri brought 10 more centimeters of rope than Gracie.
Step-by-step explanation:
Write an equation of a line parallel to y = -2x + 3 that passes through (-2,-1)
[tex]\boxed{y=-2x-5}[/tex]
Explanation:The slope-intercept form of the equation of a line:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
The given line has the following characteristics:
[tex]y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3[/tex]
So the line we are looking for needs to be:
[tex]y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5[/tex]
So, the equation of the line would be:
[tex]\boxed{y=-2x+3}[/tex]
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If the percent of discount is 55% and the sale price is $60 what was the original price
Answer:
133.33 dollars bc when u divide 133.33 form 55% it's 60 dollars.
You have $40 to spend on turkey and cheese for a party. At the deli, turkey is $10 per pound inches is six dollars per pound. Write an equation that represents the situation
Answer:
40=10x+ 6y
Step-by-step explanation:
x representing pounds of turkey
y representing pounds of cheese
11. Evaluate f (x)=- x + 2 for f( – 5) and f(1).
Answer:
-3 and positive 3
Step-by-step explanation:
Answer:
7 and 1
Step-by-step explanation:
To evaluate f(- 5) substitute x = - 5 into f(x)
f(- 5) = - (- 5) + 2 = 5 + 2 = 7
Similarly for f(1)
f(1) = - 1 + 2 = 1
43. Claire is buying a new bicycle for $295. If the
sales tax is 4.75%, what will she pay in total?
Answer: $299.75
Step-by-step explanation:
What is the slope of line b?
1/2
2
-2
-1/2
m=rise/run. so it is also going to the right so it is going to be positive do the rise is one and the run is two. That way m=1/2.
Linear equations
Y=6x-3
Y=4x-1
Answer:
x = 1 y = 3
Step-by-step explanation:
6x - 3 + 3 = 4x - 1 + 3
6x - 4x = 4x - 4x + 2
2x = 2 ÷ 2
x = 1
y = 6x - 3
y = 6 (1) - 3
y = 6 - 3
y = 3
Choose all that give the correct expression for the quantity described.
Answer:
Its D on e2020
Step-by-step explanation:
trust me
Help please ! Please answer any
Answers are rectangle, rhombus and parallelogram respectively.
Step-by-step explanation:
Answer to 74 is a rectangle. It has opposite sides equal and adjacent sides are perpendicular.Answer to 75 is a rhombus. It has all equal sides and opposite angles are equal, but adjacent angles are not equal. Answer to 76 is a parallelogram. It has opposite sides equal and parallel but adjacent sides are not equal.