Jayce earns 3 more points from gold stars than from silver stars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Jayce collected 80 silver stars and earned 160 points.
He collected 30 gold stars and earned 150 points.
Therefore,
The points per star Jayce earns from silver stars
160/80=2,
The points per star Jayce earns from gold stars
150/30=5
Hence, Jayce earns 3 more points from gold stars than silver stars.
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what is the average rate of change of f(x)= –8x+20 over the interval [–17,–10].
Answer:
Mein Name ist, mein Name ist, ich bin der beste Rapper, den es gibt
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like termsStep-by-step explanation:
Step 1: Define equation
y = -(x - 3)² + 8
Step 2: Rewrite
Expand [FOIL]: y = -(x² - 6x + 9) + 8Distribute -1: y = -x² + 6x - 9 + 8Combine like terms: y = -x² + 6x - 1Which expression means 25% off an originally prices item?
a. 1.25p
b. P - 0.25p
c. 0.25p
d. P + 0.75p
Answer:
b.
Step-by-step explanation:
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Which of the following is a factor of 7x2 - 12x - 4? (6 points)
O 7x - 2
O x + 2
Ox-4
O None of the above
Answer:
We conclude that 'None of the above' is the correct answer.
Step-by-step explanation:
Given the expression
[tex]7x^2\:-\:12x\:-\:4[/tex]
Breaking the expression into groups
[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]
Factor out [tex]x[/tex] from [tex]7x^2\:+\:2x[/tex]
[tex]=x\left(7x+2\right)[/tex]
Factor out -2 from [tex]\left(-14x-4\right)[/tex]
[tex]=-2\left(7x+2\right)[/tex]
so the expression becomes
[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]
[tex]=x\left(7x+2\right)-2\left(7x+2\right)[/tex]
Factor out the common term [tex]7x+2[/tex]
[tex]=\left(7x+2\right)\left(x-2\right)[/tex]
Therefore, from the given options, we conclude that 'None of the above' is the correct answer.
A trencher digs 5m in 4 hours. How long will it take to dig 30m
Answer:
24 hours, in other words a whole day
Step-by-step explanation:
30m / 5m = 6
4hrs x 6 = 24hours
Therefore, to dif 30m it will take 24 hours.
Nora is 4 years older than Hina . If the sum of their ages is at most 45 years ,find the maximum possible age of Hina. *
b) 25 years
a) 20 years
c) 15 years
choose the correct answer
Answer:
a) 20 years
Step-by-step explanation:
Hina: x
Nora: x + 4
x + x + 4 ≤ 45
2x + 4 ≤ 45
2x ≤ 41
x ≤ 20.5
20 years old and 15 years old would be ≤ 20.5 but the question asked for maximum possible age so 20 years old it is.
The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
center: (2,-5), point on the circle: (-4,-5)
Answer:
25= (x-2)² + (y+4)²
Hope this helps!!!
Answer:
[tex](x-2)^2+(y+5)^2=36[/tex]
Step-by-step explanation:
The standard form of a circle is given by the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center is (2, -5). So, we can substitute 2 for h and -5 for k. This yields:
[tex](x-(2))^2+(y-(-5))^2=r^2[/tex]
Simplify:
[tex](x-2)^2+(y+5)^2=r^2[/tex]
Now, we need to determine r. We know that a point on the circle is (-4, -5). Thus, we can determine r by substituting -4 for x and -5 for y. This yields:
[tex](-4-2)^2+(-5+5)^2=r^2[/tex]
Evaluate:
[tex](-6)^2+(0)^2=r^2[/tex]
Evaluate:
[tex]36=r^2[/tex]
Hence, the radius squared is 36.
We do not actually need to solve for r, as we will square it anyways.
We will substitute 36 for r squared. Hence, our equation is:
[tex](x-2)^2+(y+5)^2=36[/tex]
The radius will thus be 6 units.
What is the answer to 32divided by 7/8
Answer:
Boyy
Step-by-step explanation:
Explain how to plot the point (3, –7) on the coordinate plane.
PLS HELP FAST
P.S. i only need one small pharagraph
Answer:
First you go to the x-axis put your point on where the coordinate says. In this case, 3. Then go to the y-axis and put your coordinate there, -7. The x-axis is first also knows as the first number in the coordinate.
Step-by-step explanation:
E23 I put as answer was correct :)
Find the new amount.
15 liters increased by 60% is
( ? ) liters.
Answer:
24
Step-by-step explanation:
15*1.60=24
A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Answer:
15 = 7 + m
Step-by-step explanation:
If 15 is the total then it goes on the other side of the equal sign. You have one side so if you add it to the missing side it should equal 15.
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
Please answer see the image
Answer:
67.7
Step-by-step explanation:
The long sides contribute a total of 30 , while the two half semi-circumferences contribute pi * 12 giving a total of:
67.699 which rounded to the nearest tenth is:
67.7
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + parallelogram side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
Which statements are true of all squares? Select three options.
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The diagonals are congruent to the sides of the square.
The diagonals are twice the length of one side of the square.
Answer:
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The statements that are true of squares include:
The diagonals are perpendicular.The diagonals are congruent to each other.The diagonals bisect the vertex angles.What's a square?It should be noted that a square simply means a shape that has four sides equal. The angles are also 360° since they're 90° each.
In squares, the diagonals are perpendicular and the diagonals are congruent to each other.
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CAN YOU PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP (24 points)
The perimeter of a rectangle is 54 inches. Its length is 22 inches. Write and solve an equation to determine its width?
2 times the width + 2 times the length = perimeter
Answer:
I'll sing out
Step-by-step explanation:
give me a sec
Doctors nationally believe that 74% of a certain type of operation are successful. In a particular hospital, 57 of these operations were observed and 47 of then were successful. At alpha is equal to 0.05, is this hospital's success rate different from the national average
If f(x) = (2x^3 − 4)^6, then what is f '(x)?
21x^2(x^3 − 4)^5
21x^8
6(2x^3 − 4)^5
6(2x^3 − 4)^5(6x^2)
Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x? One-half 2 8 12
Answer:
8
Step-by-step explanation:
Its right on edge
Answer:8
Step-by-step explanation:
what is the equation in point slope form of a line that passes through the points (-4,-1)and5,7)
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
using the image attached as reference
(-4,-1) - the -4 becomes x1, and the -1 becomes y1
(5,7) - the 5 becomes x 2 and the 7 becomes y2
plug this information into the equation
7-(-1)
m=----------
5-(-4)
solve
8
m=----------
9
so your slope would become 8/9
71 2/3 as a fraction
Answer:
215/3
Step-by-step explanation:
71 multiplied by 3 (denominator) + 2 (remainder) divided by 3
The improper fraction for the given mixed fraction is 215/2.
The given fraction is [tex]71\frac{2}{3}[/tex].
These are just improper fractions written as a sum of whole number and a proper fraction. (improper fraction has the upper value(also called numerator) bigger or equal to denominator(the bottom value) and proper fraction has numerator value is less than that of the denominator)
They are written and can be converted to fraction as: [tex]a\frac{b}{c} = \frac{(a\times c)+b}{c}[/tex]
Now, [tex]71\frac{2}{3}=\frac{71\times3+2}{3}[/tex]
= (213+2)/3
= 215/3
Therefore, the improper fraction for the given mixed fraction is 215/2.
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Jaclyn and Henry secured a $225,000 mortgage at 5% annual interest for 20 years. This results in a monthly payment of $1484.90 and the interest paid in month one is $937.50. Assume they only make the minimum payment each month. How much is the balance reduced in month one? What is the beginning balance for month two?
Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.00032, which shows a valid step in the process of calculating the pH of the substance?a. pH = - log 0.0032.b. - log(3.2.10-4)= pH.c. log(3.2.10-4)= pH.d. log(3.2.10*) = -pH.e. pH = log 0.00032.
Answer:
-log(3.2•10^-4)=pH
Step-by-step explanation:
The choice which shows a valid step in the process of calculating the pH of the substance is; Choice B. - log(3.2.10-⁴) = pH.
According to the question;
The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions.Therefore, when H = 0.00032
pH = - log 0.00032However; 0.00032 can be written in standard form as; 3.2.10-⁴
Therefore, Choice B is correct.
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Find the measure of each numbered angle.
Answer:
∠3 = 22°
∠4 = 22°
∠5 = 88°
Step-by-step explanation:
86 + 72 = 158
180 - 158 = 22
∠3 ≅∠4 they're verticle angles
22+ 70 = 92
180 - 92 = 88
Rewrite the rational exponent as a radical expression. (2 points)
Answer:
the eighth root of 2 to the fifth power .
Step-by-step explanation:
Answer:
the ninth root of 3 is the answer AKA: B
Step-by-step explanation:
Took the test
What is the length of CD? What is the length of C’D’? What is the measure of B? What is the measure of B’? What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’?
Answer:
What is the length of CD? (6 units)
What is the length of C’D’?(4 units)
What is the measure of B? (90 degrees)
What is the measure of B’? (90 degrees)
What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’? (2/3)
Step-by-step explanation:
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Answer:
In order
6 Units
4 Units
90 Degrees
90 Degrees
2/3
Step-by-step explanation:
Please see question below.
What is 112% of 50?
2
Your answer
Please see question below.
Answer: 56
Step-by-step explanation:
Answer:
112% of 50 is 56
Step-by-step explanation:
100% of 50 is 50.
We have to find 12% of 50, and then add it to 50 to get 112% of 50.
12% of 50 is the same as .12 x 50 which is 6.
50 + 6 = 56
I Hope That This Helps! :)
I will give u 50 points and brainlest pls help
Answer:
The bicyclist rides 72 miles in 4 hours
Step-by-step explanation:
The vertical axis represents the number of miles while the horizontal axis is the duration. The intersecting point is the time and distance taken hence 72 miles in 4 hours.
Answer:
if you know this or not but 5 points is not 50
Step-by-step explanation:
Convert the fraction to a decimal using an equivalent fraction.
4/5
Answer:
.8
Step-by-step explanation:
4/5 multiplied by 2 is 8/10, which is equivalent to .8
After converting the number 4/5 into decimal, the number is 0.8.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
Fraction = 4/5
So, Write an equivalent fraction as;
⇒ 4/5
Multiply by 2 in denominator and numerator;
⇒ 4×2 / 5×2
⇒ 8 / 10
⇒ 0.8
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20 POINTS!!!
The volume of a ball is 30 cm^3. If the diameter of the ball is dilated by a scale factor of 5, what is the new volume of the ball? Don't include the units
What does the point (1, 18) represent?
Answer:
1 on the x axis, and 18 on the y axis
Step-by-step explanation: