Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
Given:
Lamar drinks water with,
Breakfast = 8 ounces
Vitamins = 6 ounces
Lunch = 16 ounces
Dinner = 16 ounces
Bottle = 32 ounces
To find:
The a numerical expression for the amount of water in ounces that he drinks in a week.
Solution:
One day consumption of water by Lamar is
[tex]8+6+16+16+32=78[/tex]
We know that,
1 week = 7 days
One day consumption of water = 78 ounces
1 week (7 days) consumption of water = 7× One day consumption of water
= 7×(8+6+16+16+32) ounces
= 7×78 ounces
= 546 ounces
Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.
Line m has a slope of -3. Another line n is parallel to line m. What is the slope of line n?
Answer: slope of line n = -3
Reason: Parallel lines have equal slopes, but different y intercepts.
(ABCD) = (A'B'C'D'). If A is (6, −8), A' is (−2, 4), and B is (4, −6), what are the coordinates of B'?
Answer: (6, 6)
In this problem the point is moved over 2 up and 2 to the right form A to A'
The coordinates of B' are (-4, 6).
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Since (ABCD) = (A'B'C'D'), we know that corresponding points in the two quadrilaterals have equal coordinates.
Therefore, we can use the coordinates of A and A' to find the translation vector that takes A to A'.
We can then apply this same vector to B to find its image B'.
The translation vector that takes A to A' is given by the difference A' - A:
A' - A = (-2, 4) - (6, -8) = (-8, 12)
So, the same translation vector takes B to B', and we have:
B' = B + (-8, 12) = (4, -6) + (-8, 12) = (-4, 6)
Therefore, the coordinates of B' are (-4, 6).
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6(3x - 2) = 18x + 6
I’m confusion please help
Step-by-step explanation:
6(3x-2)=18x+6
18x-12=18x+2
18x-18x=2-12
0 =-10
0
Answer:
This equation does not exist.
where is alrquan07 ? Anyone know?
Answer:
hewo friend
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
8,10,20 pls mark me as brainliest
Answer:
A triangle can not have a side that is longer than the sum of the other two sides. In this case, the second answer does not fit a triangle, as 20 > 8 + 10.
Step-by-step explanation:
PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!
Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
3+(−4)−8−(−1)
can guy help me pls
Answer:
-10
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
2a^2-12a + 18, please try to explain or show how you got it...thank you :))
Answer:
35 is your answer!!
Step-by-step explanation:
have a good day <3
Please help me........
Answer:
C
Step-by-step explanation:
subtract
Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold
Answer:
Step-by-step explanation:
Let us represent
Let the wood bat = w
Let the base ball bats = b
Savelot offers two types of baseballs bats the wood bat sell for 24$ and the metal bats sell for 30 in one day save lots sold 23 base ball bats these recipts for those bats totaled $606 how many of each type of bat was sold
System of Equations
w + b = 23.... Equation 1
b = 23 - w
24w + 30b = 606..... Equation 2
We substitute:30 - w for b
Hence:
24w + 30(23 - w) = 606
24w + 690 - 30w = 606
24w - 30w = 606 - 609
-6w = -84
w = -844/-6
w = 14 wood bats
b = 30 - 14
b = 16 base ball bts
Describe the translation T<-3,5>(x,y) in words
Answer:
T is less than negative 3. 5 is greater than (x,y)
Step-by-step explanation:
Compute the sum of the squares of the shorter lengths. Compute the sum of the squares of the shorter lengths. Compute the square of the longest length. Compute the square of the longest length. What kind of triangle is it? What kind of triangle is it? Acute triangle Acute triangle Right triangle Right triangle Obtuse triangle Obtuse triangle
The given triangle is a right triangle because it agrees Pythagoras theorem.
In the given triangle, the shorter lengths are 12 and 16.
The sum of square of shorter lengths:
[tex]= 12^2 + 16^2[/tex]
[tex]=144+256[/tex]
[tex]=400[/tex]
The longer length is 20.
Square of the longest length is [tex]20^2.[/tex]
[tex]20^2 = 20 \times 20[/tex]
=400
The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.
400 = 400
As this is agreeing Pythagoras theorem it is a right angle triangle.
Hence, option B is correct. right triangle.
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The senior class has 412 students. They are assigned to different homerooms. There are 28 students in the smallest homeroom and the remaining 12 homerooms have the same number of students. How many students are in each of remaining 12 homerooms?
Just give me the equation.
Answer:
There are 32 students in the other 12 homerooms.
Step-by-step explanation:
32x12=384
384+28=412
Full equation: 32x12=384 28=412
Find the x-value for point C such that AC and BC from a 2:3 ratio.
Given:
Point C divides AB such that AC:BC=2:3.
To find:
The x-value for point C.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).
Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are
[tex]C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)[/tex]
[tex]C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)[/tex]
[tex]C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)[/tex]
[tex]C=\left(-0.6,3\right)[/tex]
The x-value of C is -0.6.
Therefore, the correct option is B.
3x−8−12x=42
what is x?
Answer:
x = -50/9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x - 8 - 12x = 42
Step 2: Solve for x
Combine like terms: -9x - 8 = 42Isolate x term: -9x = 50Isolate x: x = -50/9How much are these coins worth??
Answer:
quarters are worth 25 cents
dimes are worth 10 cents
nickels are worth 5 cents
pennies are worth 1 cent
that is a total of $1.48 there
Step-by-step explanation:
Rawr ... someone help me :) please it’s math and the last word says Box btw !
Answer:
4/7
Step-by-step explanation:
Have a nice day
Answer:
4/7
Step-by-step explanation:
I said so hun
slope = 5, goes through the point (2, 7)
What is X in feet
X= Ft
Answer:
x = 26ft
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676
[tex]\sqrt{676}[/tex] = 26
pllllllllllllllzzzzzzzzzzzzzzz
hhheeeellllllllpppppppppppp
Answer:
I think it should be the third option
Need this it is due tomorrow please.
Answer:
a) parallel lines : CE and BF
b)perpendicular lines : DE and EF
c) is FE parallel to CA : no
Step-by-step explanation:
hope this helps
Answer:
a. CE║BFb.DA and BFc. No, because Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.Step-by-step explanation:
Lucy spent $22.80 on Halloween candy. Tax is 5%. How much will she spend total including tax?
Answer:
23.94
Step-by-step explanation:
Before Tax Price: $22.80
Sale Tax: 5.00% or $1.14
After Tax Price: $23.94
PLZZZ HELP DUE IN 5mins
Answer:
y=-6x+360
Step-by-step explanation:
The y intercept, b, is easy; its already listed as 360.
The slope we find by using some points:
300-360
10-0
=
-60
10
=
m=-6
y=mx+b
y=-6x+360
I need to find the slope and b
Y=mx+b
HELP ME
Answer:
[tex]y=-\frac{4}{3}x+20[/tex]
Step-by-step explanation:
stupid enough
y=mx+b
[tex]\frac{y1-y2}{x1-x2}[/tex]
slope = 16-12/3-6
-4/3
[tex]y=-\frac{4}{3}x+b[/tex]
plug in x and y
16=-4/3(3)+b
b=20
Redfind the number of kilograms in 250 pounds. there are 1000 grams in a kilogram and 454 grams in a pound.
Answer:
113 kilograms
Step-by-step explanation:
Write an equation of the line that passes through (-4, -1) and is perpendicular to the line y= 4/3x+6.
y=
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
What is the domain of the square root function graphed below?
Answer:
x ≥ 0
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, the line's x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:
[0, ∞) or x ≥ 0
solve for d:
d + (-5.004) = 2.826
PLease
Answer:
7.83
Step-by-step explanation:
d + (-5.004) = 2.826
d = 2.826 - (-5.004)
= 7.83
Therefore d is 7.83 :)
Two forces of 25 pounds and 20 pounds act on a body with an angle of 25 degrees between them. What is the magnitude of the resultant force?
a) 13.23 pounds
b) 38.78 pounds
c) 43.95 pounds
d) 53.23 pounds
Answer:
C) 43.95 pounds
Step-by-step explanation:
got it right on edge :)
The magnitude of resultant force is 43.95 pounds.
The option c is correct.
Resultant force:Two forces are given that,
[tex]F_{1}=25, F_{2}=20,\theta=25 degree[/tex]
The resultant force is calculated by using formula,
[tex]F=\sqrt{F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}cos \theta } \\\\F=\sqrt{25^{2}+20^{2}+2*25*20*cos25 }\\\\F=\sqrt{625+400+906.307}\\ \\F=\sqrt{1931.307}=43.95[/tex]
Hence, the magnitude of resultant force is 43.95 pounds.
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