Answer: all statements are true.
Step-to-step explanation:
Given: Cost of 1 box of cereal =$2.79
Cost of x boxes of cereal= $2.79 x
Each gallon of milk costs $4.49.
Hank bought 3 more boxes of cereal than gallons of milk.
gallons of milk = x-3
Total cost = (cost per box of cereal) × (x) +(Cost per gallon of milk) × (x-3)
= 2.79x + 4.49 (x-3)
All statements are correct:
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
Antonio uses a function to determine the height of a football from the time is kicked to the time it lands on the ground. Is the function linear or nonlinear? Use words, numbers, or models to justify your answer.
Answer:
Non-linear
Step-by-step explanation:
Here, we want to determine the function type that would model the height of a football from the time it was kicked to the time it lands on the ground
The way to go about this is to notice the kind of shape or trajectory the kicked football will take.
The shape it will take is non-linear. The shape it will take would be a parabolic curve. These parabolic curve models a quadratic equation and not a linear function. Hence we can conclude that based on the kind of path in which the ball traces, we can conclude that the function that results from its trajectory would not be a linear kind of equation or representation.
There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the slope/rate? *
Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptGiven that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
EXTRA BONUS!
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
[tex]y = mx+b[/tex]
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
Write the rational number as a decimal. −1/15=
Answer:
Step-by-step explanation:
1.15
Answer:
-0.067
Step-by-step explanation:
this is a answer
Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE Triangle A B C is shown. Line D E is drawn inside of the triangle and is parallel to side A B. The line forms triangle D C E. We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the
Answer:
the answer is A
Step-by-step explanation:
on edgy
The triangles △ACB ~ △DCE are similar by AA similarity theorem.
What is AA similarity theorem?If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Given Triangle ABC with Line DE drawn inside the triangle and parallel to side AB. The line DE forms a new triangle DCE.
Because AB∥DE and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines.
Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.
We can state ∠C ≅ ∠C using the reflexive property.
Therefore, △ACB ~ △DCE by the AA similarity theorem.
For more references on similarity, click;
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The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
Group of answer choices
A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D.The slope from point O to point A is two times the slope of the line from point A to point B.
Answer:
A
Step-by-step explanation:
You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.
In a line, the slope never changes so it's A.
8 + 4f = 3f solve for f
Answer:
[tex]f=-8[/tex]
Step-by-step explanation:
[tex]8+4f=3f[/tex]
[tex]8+4f-4f=3f-4f[/tex] (Subtract [tex]4f[/tex] from both sides of the equation to isolate [tex]f[/tex])
[tex]8=-f[/tex] (Simplify)
[tex]-f=8[/tex] (Symmetric Property of Equality)
[tex]\frac{-f}{-1} =\frac{8}{-1}[/tex] (Divide both sides of the equation by [tex]-1[/tex] to get rid of [tex]f[/tex]'s coefficient; remember that [tex]-f=-1*f[/tex], so [tex]-f[/tex] has a coefficient of [tex]-1[/tex])
[tex]f=-8[/tex] (Simplify)
Hope this helps!
Answer:
Step-by-step explanation:
Here you go mate
Step 1
8+4f=3f Equation/Question
Step 2
8+4f=3f Simplify
8+4f=3f
Step 3
8+4f=3f Simplify by subtracting
f+8=0
Step 4
f+8=0 Subtract 8 frm sides
answer
f=-8
Hope this helps
To the nearest unit, what is the perimeter of this pentagon?
27 units
29 units
30 units
34 units
Answer:
D(34)
Step-by-step explanation:
i did the math
jaylon is standing 42 feet above sea level and his Christian is swimming at a depth of 17 feet below sea level
what is the distance between the jaylon and Christian?
Answer:
59 feet
Step-by-step explanation
42+17
Factor the four-term polynomial.
pq - 2r + pr-29
Your answer should be -18?
help Solving Exponential Functions
Step-by-step explanation:
4) p(x)=256
p(x)=2 ^ x+2
256=2 ^ x+2
2⁸= 2 ^ x+2
8=x+2
x=8-2=6
5)243=3 ^ x+3
3×3×3×3×3 = 3 ^ x+3
3⁵= 3^ x+3
5 = x+3
x=5-3=2
Answer:
[tex]p(x) = 256 \\ p(x) = {2}^{(x + 2)} \\ {2}^{(x + 2)} = 256 \\ {2}^{(x + 2)} = {2}^{8} \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}[/tex]
x=6 is the right answer.[tex]243 = {3}^{(x + 3)} \\ {3}^{(x + 3)} = {3}^{5} \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}[/tex]
x=2 is the right answer.what is 3/10 of 68249????????????
Answer:20474.7
Step-by-step explanation:
68249 divide by 10 then multiply by 3
Can u pls help me with this question
will give brainliest to right answer
Answer:
D
Step-by-step explanation:
Area of rectangle: 6 x 4 = 24
Area of triangle: 4(4)/2 = 8
Area of semi-circle: (πr²2)2 = 2π ≈ 6.28
24 + 8 + 6 = 38
PLEASE HELP THIS IS URGENT!!!
what is 2+2
Answer:
4
Step-by-step explanation:
Hope this helps!! Have a good day!
PLEASE HELP ILL GIVE U BRAINLIEST 5 STARS AND A THANK YOUUUU
Answer:
i think it’s 3 because 25 x 12 = 3 for percentages
Step-by-step explanation:
i
Answer:
4%
Step-by-step explanation:
There are 25 squares, so out of 100, each shaded square would be 4/100, and then 4/100 is 4%
What is the least common multiple of 8, 2, 3a, 6b, and 4ab?
Answer:
24ab
Step-by-step explanation:
The multiple of 8, 2, 4ab, 3a, and 6b would be all the variables multiplied together right?
Then you see that:
8 can be divided by both 2 and 4 (2 x 2 x 2)
2 is 2 x 1
4ab can be 2 x 2ab
3a is the same as 3 x a
and
6b can be 2 x 3b
Now if you find the lowest common multiples (LCM's) of each variable with another you'll get your answer.
LCM of 8, 2 and 4ab is 2 times 2 times 1 times 2ab which equals 8ab
LCM of 3a and 6b is 3a times 2 times b which equals 6ab
and the
LCM of 8ab and 6ab is 2 times 2ab times 4 times 3 which equals 24ab.
hey can someone please please please help me asap?!
Answer:
slope=1
Step-by-step explanation:
Rise/Run
Can you help? Please :)
At Martin Luther King Jr. High School 7 out of 9 students voted to plant trees at the front of the school. A total of 119 voted to plant the trees. How many students voted?
A. 153
B. 272
C. 128
D. 135
Answer and Step-by-step explanation:
To solve, you first divide 7 by 9.
Then, you divide 119 by 7/9.
[tex]\frac{7}{9} = 0.777777777777\\\\\frac{119}{0.77777777777} = 153.\\\\[/tex]
To check your work, divide 119 by 153, and you will get 0.777777777777, which is the same as 7 divided by 9.
So, the answer is A. 153
#teamtrees #WAP (Water And Plant)
Answer:
A
Step-by-step explanation:
I divided 119 by 7 which is 17. Then multiplied that by 2 because theres a gap of 2 between 7 and 9 and got 34. lastly added 119 by 34 and got 153. (Sorry if I got it wrong)
I really need to finish this can somebody help
When you have the base currency, what is the operation to do the conversion?
To convert from the base currency, we multiply by the exchange rate. Just like multiplying to apply a commodity price. Indeed, our base currency can be viewed as the commodity in the quote. Say we need to convert €8m into dollars, by applying the exchange rate EUR/USD 1.25.
A 12 ft ladder leans against a wall so that the base of the ladder is 5 ft from the wall How high, to the nearest foot, up on the wall will the ladder reach?
Answer: 10.9, about 11 ft
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + (5)^2 = (12)^2
Answer:
The ladder is the hypotenuse and one side equals 5 feet.
From the Pythagorean Theorem we can calculate the other side:
other side^2 = 12^2 -5^2
other side^2 = 144 -25
other side^2 = 119
other side = 10.9087121146
Rounding, we get 11 feet.
Step-by-step explanation:
What is the next term of the geometric sequence -3/5, 6/5, -12/5
Answer:
24/5Step-by-step explanation:
Common ratio is:
-12/5 : 6/5 = -2The next term is:
-12/5*(-2) = 24/5Megan has 15% less money than Lisa. If Lisa has $200, how much money does Megan have?
1. Jacob has $500 saved. He receives a gift of $100 as a graduation present.
Write an expression for the total amount of money he has.
A store sells backpacks in two sizes small and large . The large backpacks sell for 20% more than the smaller backpacks. If a large backpack costs $75, how much does the small size cost
Answer:
$50
Step-by-step explanation:
75x20%= 1500 then divided by 100 is 15. 75 - 15 is 50
I really need help for this question
PLEASE HELP WILL MARK BRAINLY
Answer:
Step-by-step explanation:
11 is B and 12 is B. 11 is B because perimeter means to add all the outside values of the shape. 2.5+5+4+1 and then there are two missing side values which are 1.5 and 1, add them all together and the perimeter is 15. For the area, separate the small square with the big rectangle to have two full shapes. The area of the rectangle is 4x2.5=10. Area of the small square is 1x1=1. 10+1=11. Hope this helps, ask questions if you need to
Please help, i struggle in this
To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
86
Step-by-step explanation:
36 + 4 = 40 x 2 =80
36 x 2 = 82 = 4 - 86
Hope it helps!
The special number was supposed to be; 76
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
For age 'a', the special number was
2a +4
Tammi's mother actually calculated it as;
2(a +4) = 2a +8
Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be;
80 -4 = 76.
Learn more about equations here;
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6th grade students were asked what their favorite subject was. 56 students said that math was their favorite subject. If there are 160 6th grade students, what is the percentage of students who chose math as their favorite subject?
Answer: 35%
Step-by-step explanation:
Given: total students in 6th grade = 160
Students said that math was their favorite subject = 56
The percentage of students who chose math as their favorite subject =
[tex]\dfrac{\text{Students like math}}{\text{Total students}}\times100[/tex]
[tex]=\dfrac{56}{160}\times100\\\\=35\%[/tex]
Hence, the percentage of students who chose math as their favorite subject = 35%.