2/3 is 6/9 so 2/9 was poured out...
if 4 gallons is 2/9ths it would be
4*2+2
8+2
10gallons
An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4 point questions are on the test?
Answer:
33 questions.
Step-by-step explanation:
Let x = 4 points questions.
Let y = 8 points questions.
Translating the word problem into an algebraic equation;
For the total number of questions;
[tex] x + y = 65[/tex] .........equation 1
For the total number of points;
[tex] 4x + 8y = 388[/tex] ..........equation 2
Given the following data;
Total number of questions = 65
Total number of points = 333
Solving the linear equation by using the substitution method;
Making x the subject in equation 1:
[tex] x = 65 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] 4(65 - y) + 8y = 388[/tex]
Simplifying the equation, we have;
[tex] 260 - 4y + 8y = 388[/tex]
[tex] 260 + 4y = 388[/tex]
Rearranging the equation, we have;
[tex] 4y = 388 - 260[/tex]
[tex] 4y = 128[/tex]
[tex] y = \frac {128}{4} [/tex]
y = 32 (For the 8 points question).
Substituting "y" into equation 3;
[tex] x = 65 - 32[/tex]
x = 33 (For the 4 points question).
Therefore, the number of 4 point questions on the test are 33 questions.
8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply.
A. The slope of Function W is less than the slope of Function Z.
B. The slope of Function W is greater than the slope of Function Z.
C. The slope of Function W is equal to the slope of Function Z.
D. The y-intercept of Function W is less than the y-intercept of Function Z.
E. The y-intercept of Function W is equal to the y-intercept of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
*the graph of Function W and table of values of Function Z are in the diagram attached below.
Answer:
B. The slope of Function W is greater than the slope of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Step-by-step explanation:
To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.
✍️Function W:
Slope of Function B, using two points on the line, (0, -1) and (2, 0):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]
✅Slope = 0.5.
y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.
✅y-intercept = -1.
✍️Function Z:
Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]
✅Slope = 0.25.
y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:
✅y-intercept = -2.
Thus, the following statements that compares both functions are TRUE:
B. The slope of Function W is greater than the slope of Function Z.
✔️This is TRUE because 0.5 is greater than 0.25.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
✔️This is TRUE because -1 is greater than -2.
Answer: B and F
Step-by-step explanation:
(04.01) Which unit rate is equivalent to 13 miles per gallon? A: 26 miles 2 gallons. B: 2 gallons 26 miles. C 39 miles 4 gallons. D: 4 gallons 39 miles.
Answer:
A 26 miles per 2 gallons
Anita buys a computer for $391 in a sale. The sale price is 15% less than the original price. Calculate the original price of the computer.
Answer:
449.65
Step-by-step explanation:
391x.15=58.65
$58.65+$391= 449.65
Help me pleaseeeeeeeeeeeeeee
Answer:
it looks to be the second answer
Step-by-step explanation:
You have 50 quarters. You find 20% more quarters in your room. Then you go shopping and spend 25% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
Answer:
$11.25
Step-by-step explanation:
r +(-5)
Combine the like terms to create an equivalent expression
Find the value of x so that f(x)=7.
Answer:
f(x) = 7 . x=1 .
i need help on this please
A. -2
B. -1/2
C. 1/2
D. 2
Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Step-by-step explanation:
The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.
To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:
y - (-3) = 4(x - 2)
Now, simplify:
y + 3 = 4x - 8
Next, bring all the terms to the left side of the equation to get the standard form:
4x - y = 8 - 3
Finally, simplify the constant term:
4x - y = 5.
To know more about standard form:
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A baby crawls 2cm/min for 10 mins
Answer:
So....
Step-by-step explanation:
can you complete your answer please?
A caterer made 4 grilled cheese sandwiches, 7 ham sandwiches, and 6 turkey sandwiches. How many sandwiches did the caterer make in all?
Answer: 17
Just add the Numbers together this is a Addition question.
7 + 6 + 4 Or However you want to do it The answer will always be 17 if u do it as 4 + 6 + 7 or however else just don't add different numbers.
May I Have brainliest?
PLEASE HELP 15 POINTS N BRAINLIEST
Answer:
OK don't worry we will help you get 15 points
help 6th grade math i will give brainliest foolish answers will get reported
Answer:
The answer is B.
Can I have Brainliest?
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!
Select the missing property.
(9+3)v
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property
Answer:
Associative property of addition
Step-by-step explanation:
yes
(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?
Answer:
Both points are on the graphStep-by-step explanation:
Given function
x^2/25 - y^2/9 = 1To find
Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)Solution
Verifying the points are on the line by substituting values of x and y:
1.............................
6^2/25 - (3√11/5)²/9 = 136/25 - 11/25 = 125/25 = 11 = 1Correct2.............................
(-5)^2/25 - 0^2/9 = 125/25 - 0 = 11- 0 = 11 = 1CorrectAnswer:
B
Step-by-step explanation:
Edge 2021
[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast
Answer:
Step-by-step explanation:
Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Step-by-step explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13
What set of numbers is arranged from largest to smallest? (Mind the blue on one of the answers)
Answer:
B
Step-by-step explanation:
it orders the negative things in the top right correctly because the bigger the negative number in the top right the lower the number is aka the greater of a negative number there is
Simplify fully 4x^2+4x/2x^2-2
Answer:
Simplify the expression.
2x³ + 4x² − 2
A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT
Answer:
The inner surface area of a hemispherical bowl will be: 1923.25 cm²
Step-by-step explanation:
Given
d = 35 cm
as
[tex]r=\frac{d}{2}[/tex]
[tex]=\frac{35}{2}[/tex]
[tex]= 17.5[/tex] cm
The inner surface area of a hemispherical bowl = 2πr²
[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]
[tex]=6.28\:\times \:17.5^2[/tex]
[tex]=1923.25[/tex]
Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²
6/5 divded by (-3/2)
Answer:
Step-by-step explanation:
6/5 ÷ -3/2 = 6/5 x -2/3
-12/15 = - 0.08
Answer:
− 4/5 or −0.8
Step-by-step explanation:
If G is the circumcenter of triangle ABC, find CG and FB. Round to the nearest tenth if necessary.
PLS HELP FOR GEOMETRY
9514 1404 393
Answer:
CG = 19
FB = 14.7
Step-by-step explanation:
The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.
The length of GA is given, so we have ...
GA = 19 = CG
__
Then the Pythagorean theorem can be used to find FB.
FB² +FG² = GB²
FB² = GB² -FG² = 19² -12² = 217
FB = √217 ≈ 14.7
What is the y-intercept of function f?
Answer: it’s not 5 I got that wrong
Step-by-step explanation:
y-intercept of function f is 1.
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given function
f(x) = -3x -2 , -∞ < x < -2
= -x + 1, -2 ≤ x < 3
= 2x + 5, 3 ≤ x < ∞
For y-intercept, x =0, f(x) = -x + 1 [∵ -2 < 0 < 3]
f(0) = -0 + 1
= 1
Hence, y-intercept of function f is 1.
Find out more information about function here
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44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]
To simplify this fraction, let's divide the numerator and the denominator by 4:
44/4 = 11
100/4 = 25
The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]
Edna runs at a speed of 9 miles per hour. How many miles per second is her speed?
Answer:
To convert any value in miles per hour to miles per second, just multiply the value in miles per hour by the conversion factor 0.00027777777777778. So, 65 miles per hour times 0.00027777777777778 is equal to 0.01806 miles per second. so the answer is 0.0025
Step-by-step explanation:
Which function represents a reflection of f(x) = 3 (2)* over the x-axis? O g(x) = -3(2) g(x) = (-2)" O g(x) === O g(x) = {(2)
Answer: The answer is A on edgenity!
Step-by-step explanation:
Answer:A is right
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 42.5 miles to km.
Answer:
Step-by-step explanation:
5 miles = 8km
42.5 miles = 42.5 x 8 = 340 km
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0After being exposed to an incredible shrinking machine, Halley's height decreased by 108 cm over 6 seco
by the same amount each second. How much did Halley's height change each second?
18 cm
B
108 cm
-18 cm
D
-108 cm
Answer:
it would be -18
Step-by-step explanation:
because you would divide 108 by 6 and you will get -18 each second