Answer:
A. 19
Step-by-step explanation:
edge 2020
The dot product of the vector u and v is 19 if option (A) is correct.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have:
On a coordinate plane, vector u has an origin (0, 0) and terminal point (7, 8). Vector v has origin (0, 0) and terminal point (negative 3, 5).
Vector u = <(7-0, (8-0)> = <7, 8>
Siimilarly, v = <-3, 5>
u · v = (7×(-3)) + (8×5) = -21 + 40 = 19
Thus, the dot product of the vector u and v is 19 if option (A) is correct.
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3. Lunch
Steven owns a restaurant that specializes in steak burgers! 4 burgers and 3 fries cost $24.50. If a burger costs $5, how much is each order of fries?
LET X =
EQUATION:
5. Dinner
The restaurant is full! There are some four-person tables and 8 tables with couples. If there are 56 people here, how many four-person tables are there?
LET X =
EQUATION
7. Dessert
Stuart’s bought a cake and 6 servings of ice cream. The cake was $12 and the total bill was $33. How much was each order of ice cream?
LET X =
EQUATION
Step-by-step explanation:
3)
4(5)+3x=24.50
20+3x=24.50
-20 -20
3x=4.50
/3 /3
x=$1.50
5)
4x+2(8)=56
4x+16=56
-16 -16
4x=40
/4 /4
x=10 tables
7)
1(12)+6x=33
12+6x=33
-12 -12
6x=21
/6 /6
x=$3.5
The answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
3)
Let x be the cost of each fry.
4×5 + 3x = 24.50
20 + 3x = 24.50
3x = 4.5
x = $1.5 each fry
5)
Let x be the number of tables for a four-person.
Couple means two persons.
56 - 2×8 = 4x
4x = 40
x = 10 four-person tables
7)
Let x be the cost of each order of ice cream:
12 + 6x = 33
x = $3.5 each order of ice cream.
Thus, the answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.
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Select the statement that indicates that the triangles in each pair are congruent.
50 points
Answer:
D. ∆XVW ≅ ∆XBC
Step-by-step explanation:
Angle X = Angle X (vertical angles are congruent)
Angle V = angle B (corresponding angles are congruent)
Angle W = angle C (corresponding angles are congruent)
The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.
Therefore, the statement that indicates both triangles are congruent is:
∆XVW ≅ ∆XBC
5/6=1/3+d
Thank you for the help and have a good day :)
Answer:
d = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5/6 = 1/3 + d
Step 2: Solve for d
Subtract 1/3 on both sides: 5/6 - 1/3 = dRewrite fraction: 5/6 - 2/6 = dSubtract: 3/6 = dSimplify: 1/2 = dRewrite: d = 1/22a. A bicycle is $85. The tax is 6%. How much is the tax?
7
According to a report in USA Today, more and more parents are helping their young adult children buy homes. You would like to construct a 90% confidence interval of the proportion of all young adults in Louisville, Kentucky, who received help from their parents in buying a home. How large a sample should you take so that the margin of error is no more than 0.06?
Answer:
The value is [tex]n = 188 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.06[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is [tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) [/tex]
=> [tex]n = 188 [/tex]
The ratio of the number of silver watches to the number of gold watches in a shop is 2:3. Which of the following best describes the number of silver and gold watches in the shop?
Answer:
let it snow
Step-by-step explanation:
merry christmas
The answer to my question.
Answer:
145°
Step-by-step explanation:
As per the given information: quadrilateral ABCD is a parallelogram.
[tex] m\angle B + m\angle DCB =180\degree \\[/tex]
(adjacent angles of a parallelogram)
[tex] 110\degree + m\angle DCB =180\degree \\
m\angle DCB =180\degree - 110\degree \\
m\angle DCB =70\degree\\
m\angle DCG=\frac{1}{2} m\angle DCB \\(\because GC \: bisects \: \angle DCB) \\
m\angle DCF=\frac{1}{2}\times 70\degree... (\because C-G-F) \\
m\angle DCF=35\degree\\
m\angle BFC = m\angle DCF = 35\degree\\ (Alternate \: \angle s) \\\\
m\angle BFC + m\angle CFA = 180\degree\\ (straight \: line \: \angle s) \\\\
35\degree + m\angle CFA= 180\degree\\
m\angle CFA = 180\degree-35\degree \\\\
m\angle CFA= 145\degree \\\\
\huge\purple {\therefore m\angle GFA = 145\degree} \\(\because C-G-F) \\[/tex]
1.) Name the corresponding
sides and angles.
Write an expression for 2 times the difference of 8 and d
Answer:
2(8-d)
Step-by-step explanation:
16 - 2d
Answer:
2 x (8 - d)
Step-by-step explanation:
2 times means multiply by 2
difference of 8 and d means 8 minus d → 8 - d
Is k=4 a solution of 4 K + 7=7 k-1
Answer:
k=8/3
Step-by-step explanation:
Let's solve your equation step-by-step.
4k+7=7k−1
Step 1: Subtract 7k from both sides.
4k+7−7k=7k−1−7k
−3k+7=−1
Step 2: Subtract 7 from both sides.
−3k+7−7=−1−7
−3k=−8
Step 3: Divide both sides by -3.
−3k
−3
=
−8
−3
k=
8
3
The value of k is equal to 8/3 for the given expression.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
The given expression is 4 K + 7=7 k-1, the value of k is calculated as,
4K + 7=7k-1
Separate the like terms in the above equation and solve for the value of k,
4K + 7=7k-1
7k - 4k = 7 + 1
3k = 8
k = 8/3
Therefore, the value of k will be 8/3 in the given equation. The value of k = 4 is wrong.
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The coolor below holds 10 gallons. How many quarts will the jug hold?
40 quarts
20 quarts
160 quarts
20 quarts
What is the equation relating x and
y together?
X
10
15
20
25
30
y=[?]x +
Which of the following is equal to 4 2/3 divided by 3 1/2 ? (2 points)
a.
4 2/3 times 3 1/2
b.
14/3 times 2/7
c.
14/3 times 7/2
d.
42/3 times 2/31
Answer:
c I'm to 100 percent sure but if not it's b it's around 14 for sure
Which equation represents A, the area in square centimeters of the
rectangle below?
23 cm
16
cm
O A. A= 23+ 16
O B. A = (2x 23) + (2 x 16)
O C. A = 23 x 16
O D. A= (23x 16) x 2
Answer:
C - formula of area of rectangle is l×w
so 23×16
A family went to a restaurant. The total cost of the meal was $48.30. The family had a coupon for 20% off the total. What was the final cost?
Answer:
$38.64
Step-by-step explanation:
to find the percent off of the original price, multiply 48.30 to 20. then, move the decimal over twice.
48.30
x 20
----------
966 ---------> $9.66 off
then subtract that from 48.30.
$38.64 is you answer.
give me brainliest
Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter
Answer:
Step-by-step explanation:
Perimeter=2(10+7)
=2(17)
=34cm
Please help!!!!!!!!!
Answer:
$42.75
Step-by-step explanation:
18.80+23.95=$42.75
200 people purchase a lottery ticket. Three winning tickets will be selected at random. If first prize is $100, second prize is $50, and third prize is $5, how many ways can the prizes be awarded?
The distance from Greg's house to Tanya's house is 7/10 of a mile. Which number correctly shows the number of miles a decimal?* Greg's house C Tanya's house Homile mile 07.10 7.0 0.7 0.07
Answer:
7 divide by 10=0.7 so 0.7 is the correct answerAsk any question. i gottu
Answer:
why?
Step-by-step explanation:
Answer:
..is cereal a soup?
Step-by-step explanation:
is it tho?
Find the area round to the nearest 10th if necessary
Answer:
5th
Step-by-step explanation: because its the half and the closest area of the figure
A typical credit card company charges 18% annual interest,
compounded monthly, on the unpaid balance. If your current balance is
$520 and you do not make a payment for 6 years, how much will you
owe? Answer rounded to the whole number
Answer:
$1,519
Step-by-step explanation:
Given that :
Balance = principal = $520
Time (t) = 6 years
Annual. Interest rate (r) = 18% = 0.18
Using the compound interest formula:
A = P(1 + r/n)^nt
n = number of times interest is applied per period ; A = final amount
Since interest is compounded monthly, n = 12
A = 520(1 + 0.18/12)^(12 * 6)
A = 520(1 + 0.015)^72
A = 520(1.015)^72
A = 520(2.9211579)
A = 1519.0021
Hence, final amount = $1519
Which of the following expressions is a correct interpretation of the expression 2-(-7)
PLEASE ANSWER NOW!!! DURNING A QUIZ
Answer:
B
Step-by-step explanation:
Because you are subtracting a negative number from a positive number, the two negatives will cancel each other out and it will move to the right.
If P is the circumcenter of triangle ABC, find each measure.
Find AP.
B
11x – 14
D
E
А
F
С
6x + 1
Answer:
Step-by-step explanation:
Hhhh
Answer: 19
Step-by-step explanation:
Did it
3x-(8x+4)=
pppppppppppppppppppppppllllllllllllllllllssssssssss
Answer:
-5x+4???
Step-by-step explanation:
I DON'T KNOW I'M SORRY
Answer:
-5x - 4
Step-by-step explanation:
3x - (8x + 4)
3x -8x -4
-5x - 4
0.095-20/5=
Write it as a decimal
Answer:
-3.905
Step-by-step explanation:
0.095 - 20/5
0.095 - 4
-|4-0.095|
-|3.905|
-3.905
WILL GIVE BRAINLIEST
Answer: x = 28
Step-by-step explanation:
Trust me :)
What is the solution to the rational equation x over x squared minus 9 plus 1 over x minus 3 equals 1 over 4x minus 12? (1 point)
Step-by-step explanation:
x²/(x²-9) + 1/(x-3) = 1/(4x-12)
4x² + 4(x+3) = 1
4x² + 4x + 11 = 0
Since the discriminant is negative, there are no real solutions.
Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.
Answer:
the answer is 6766 and the percent is 13.2
Step-by-step explanation:
100 on the plato test
Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?
Given,
Rate of free fall = 216 km/h
Solution,
km/h to m/s is converted as follows :
[tex]216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s[/tex]
So, the rate of fall is 60 m/s.
If t = 20 s
Assume, initial velocity = 0
It will move under the action of gravity.
Using equation of motion,
[tex]h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m[/tex]
Hence, this is all for the solution.