Clifford is paid $4.25 per hour plus time and a half on holidays and makes an average of 21% tips on his food sales as a server at the local seafood restaurant. This is modeled by the expression 4.25(x) + 4.25(1.5)(y) + 0.21(z). What is Clifford's gross pay if he worked 15 regular hours and 7 holiday hours and had $1,345 in food sales? (2 points)
$356.83
$390.83
$422.70
In the Brady's Family, each girl has twice as many brothers as she has sisters.
However, each boy has the same number of brothers as sisters. Is this possible; and
if so how many girls are there in the family, and how many boys?
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
The scale on a map is
1:25 000
(a) On a map, a distance
measures 5cm. What is this
in real life? Give your
answer in kilometres.
(b) In real life a distance is
2.2km. What would this be in
the map in centimetres?
Answer:
Step-by-step explanation:
a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km
b) 2.2 km (1000 m/km)(100 cm/m) / 25000 = 8.8 cm
could anyone help me solve this? I’ve had several questions like this and I don’t understand how to solve it. I’ll give brainliest:)
Answer:
-2, - 1, - 2 and - 3
Step-by-step explanation:
As the graph depicts an odd function, it will follow the rule f(-x) = - f(x)
A children's rectangular pool holds 480 cubic feet of water. What is the depth of the pool of its length is 30 feet and it's width is 16 feet
Answer:
1 ft
Step-by-step explanation:
1, 480/30=16
2, 16/16=1
3, 1 ft
Let f(x) = 12/4x+2 Find f(-1). (1 point)
Answer:
-1
Step-by-step explanation:
let,x=-1
f(x)= 12/4x + 2
f(-1)= 12/4x(-1) + 2
=12/(-4) +2
= -3+2
= -1
Find the length of AB
Answer:
C. 44.98
Step-by-step explanation:
Hi there!
We are given the right triangle ABC, m<B=12°, and CB =44
We want to find the length of AB
We can use trigonometry to do it
Let's find the ratio in reference to angle B, as that angle is given.
In reference to angle B the opposite angle is AC, the adjacent side is CB, and the hypotenuse is AB
Now let's recall the 3 most commonly used functions:
[tex]sine=\frac{opposite}{hypoptenuse}[/tex]
[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]
[tex]tangent=\frac{opposite}{adjacent}[/tex]
Let's find the cosine of angle B, as it uses CB and AB, which are the given side and the side we need to find
In that case,
cos(12)=[tex]\frac{CB}{AB}[/tex]
cos(12)=[tex]\frac{44}{AB}[/tex]
Multiply both sides by AB
[tex]AB[/tex]*cos(12)=44
Divide both sides by cos(12)
AB=[tex]\frac{44}{cos(12)}[/tex]
Now plug [tex]\frac{44}{cos(12)}[/tex] into your calculator. Make sure your calculator is on degree mode
AB≈44.98
So the answer is C
Hope this helps!
16.Brendan practiced soccer for 12 hours on Monday, 1 hours on
Tuesday, 14 hours on Wednesday, and hour on Thursday in
preparation for the game on Friday. How many total hours did
Brendan practice soccer in this week
Answer:
27
Step-by-step explanation:
If Q(x) = x2 + 3x + 2, find Q(-4).
Q(x)=x^2+3x+2
[tex]\\ \sf\longmapsto Q(-4)[/tex]
[tex]\\ \sf\longmapsto (-4)^2+3(-4)+2[/tex]
[tex]\\ \sf\longmapsto 16+(-12)+2[/tex]
[tex]\\ \sf\longmapsto 16-12+2[/tex]
[tex]\\ \sf\longmapsto 4+2[/tex]
[tex]\\ \sf\longmapsto 6[/tex]
The value of the function at x = - 4 will be 6. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
Q(x) = x² + 3x + 2
The value of the function at x = - 4, then we have
Q(-4) = (-4)² + 3(-4) + 2
Simplify the equation, then we have
Q(-4) = (-4)² + 3(-4) + 2
Q(-4) = 16 - 12 + 2
Q(-4) = 18 - 12
Q(-4) = 6
The value of the function at x = - 4 will be 6. Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
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A circular fence is being placed to surround a tree. The diameter of the
fence is 4 feet. How much fencing is used? *
Answer:
12.6 ft
Step-by-step explanation:
Kane's Furniture Store advertised a table at 9% discount. The original selling price was $109, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Answer:
No, the sale price wasn't consistent with the ad
Step-by-step explanation:
The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.
If x - A = B, what is X?
9514 1404 393
Answer:
(a)
Step-by-step explanation:
Add A to both sides of the equation:
X -A +A = B +A
X = B + A
The sum of the two matrices is the matrix that is the sum of corresponding terms.
x11 = B11 +A11 = -9+2 = 7
x12= B12 +A12 = 5-7 = -2
These calculations are sufficient to match the answer with choice (a).
Which could be a binomial expansion of (4x + y)?
16x2 + xy + y2
16x2 + 4xy + y2
O 64x3 + 16x2y + 5xy2 + y3
64x3 + 48x2y + 12xy2 + y3
+
Answer: D
Step-by-step explanation:
[tex](4x+y)^3\\\\=(4x)^3+3*(4x)^2*y+3*(4x)*y^2+y^3\\\\=64x^3+48x^2y+12xy^2+y^3\\\\Answer\ D[/tex]
Answer:
D
Step-by-step explanation:
With her new company, Annika has a two-year assignment living in a large city. The company will reimburse most of her expenses. Annika is using the Quantitative Reasoning Process to build a budget. Calculate Annika's estimated living expenses for the next two years using the following: Rent: $1,200 per month, Gym membership: $400 per year with a monthly fee of $35, Renters' insurance: $75 every 6 months, Groceries: $390 per month, and Eating out & entertaining: $250 per week. Assume 52 weeks in 1 year and 12 months in 1 year. (Round your answer to the nearest whole dollar)
Answer:
Estimated expenses for next 2 years:
Rent = 1100 * 12 * 2 = 26,400
Gym membership = 450 * 2 = 900
Gym monthly fee = 40 * 12 * 2 = 960
Renter's insurance = 60 * (12 * 2 / 6) = 240
Groceries = 300 * 12 * 2 = 7200
Eating out & entertainment = 175 * 52 * 2 = 18,200
Total estimated living expenses = $53,900
Step-by-step explanation:
Find the slope of the line that contains (4, -6) and (4, 4)
Answer:
Undefined
Step-by-step explanation:
Slope formula = [tex]\frac{y_{2}-y_{1}}{y_{2}-y_{1}}[/tex]
[tex]\frac{4-(-6)}{4-4}[/tex]
[tex]\frac{10}{0}[/tex]
A number can not have a denominator of 0, therefore making the slope undefined.
Answer:
Undefined.
Step-by-step explanation:
Use the slope formula: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]
[tex]m=\frac{-6-4}{4-4}=\frac{-10}{0}=[/tex] Undefined
A ball is kicked from the ground. At 1 second it is 3 m off the ground. At 2 seconds it is 12 m off the ground, at 3 seconds it is 27 m off the ground After 3 bounces, how high is the ball
Answer:
the correct answer is 3 m............
convert from degrees to radians
250°
Answer: the radians should be 125
Step-by-step explanation:
Tính tích phân sau bằng cách dùng tọa độ cực I=∫∫ [tex]\frac{1}{\sqrt{x^{2} +y^{2} } }[/tex]dxdy R là miền nằm trọg góc phần tư thứ nhất thỏa mãn 4[tex]\leq x^{2} +y^{2} \leq 9[/tex]
It sounds like R is the region (in polar coordinates)
R = {(r, θ) : 2 ≤ r ≤ 3 and 0 ≤ θ ≤ π/2}
Then the integral is
[tex]\displaystyle \iint_R\frac{\mathrm dx\,\mathrm dy}{\sqrt{x^2+y^2}} = \int_0^{\pi/2}\int_2^3 \frac{r\,\mathrm dr\,\mathrm d\theta}{\sqrt{r^2}} \\\\ = \int_0^{\pi/2}\int_2^3 \mathrm dr\,\mathrm d\theta \\\\ = \frac\pi2\int_2^3 \mathrm dr \\\\ = \frac\pi2r\bigg|_2^3 = \frac\pi2 (3-2) = \boxed{\frac\pi2}[/tex]
Find the radius of a circle with a diameter of 14 cm
Answer:
r = 7 cm
Step-by-step explanation:
The radius is 1/2 of the diameter
r = d/2
r =14/2
r = 7 cm
vector v has a horizontal vector component with magnitude 19 and a vertical vector component with magnitude 35. what is the acute angle theta formed by v and positive x-axis?
9514 1404 393
Answer:
61.5°
Step-by-step explanation:
The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.
Tan = Opposite/Adjacent
tan(α) = 35/19
α = arctan(35/19) ≈ 61.5°
The angle made by v and the positive x-axis is 61.5°.
When Asia was young, her father marked her height on the door frame every month. He noticed that between the ages of one and three, he could predict her height (in inches) by taking her age in months, adding 75 inches, and multiplying the result by one-third.
Create an equation linking her predicted height, h, with her age in months, m.
[tex]The \: text \: tells \: us \: that \: we \: can \\ predict \: her \: height \: by \: taking \\ her \: age \: in \: months, \: adding \: 75, \\ and \: multiplying \: by \: \frac{1}{3} . \: So \: our \\ equation \: is [/tex]
[tex]h = (m + 75). \frac{1}{3} [/tex]
(or)
[tex]h = \frac{1}{3} (m + 75)[/tex]
b) Determine her predicted height on her second birthday
To predict Asia’s height on her second birthday, we substitute m=24
into our equation (because 2 years is 24 months) and solve for h.
[tex]h = \frac{1}{3} (24 + 75)[/tex]
[tex]h = \frac{1}{3} (99)[/tex]
[tex]h = 33[/tex]
Asia’s height on her second birthday was predicted to be 33 inches.
2. What is the solution to the equation 1/2x + 3/2(x+1) - 1/4=5
Answer:
1/2x + 3/2(x+1) - 1/4 = 5
1/2x + 3/2(x) + 3/2 - 1/4 = 5
1/2x + 3/2(x) + 6/4 - 1/4 = 5
4/2(x) + 5/4 = 5
2x + 5/4 = 5
2x = 15/4
x = 15/8
Let me know if this helps!
Answer:
x = 15/8
Step-by-step explanation:
1/2x + 3/2(x+1) - 1/4=5
1/2x + 3/2x + 3/2 - 1/4 = 5
2x + 5/4 = 5
2x = 15/4
x = 15/8
Which of the following is a valld conclusion for the quadratic equation?
x2 - 6x+8=0
OX-3 = 0 and x+ 5 = 0
Ox+ 4 = 0 and x + 2 = 0
O x-4 = 0 and x + 2 = 0
O x-4 = 0 and x - 2 = 0
Answer:
[tex]x-4=0\: and\: x-2=0[/tex]
Step-by-step explanation:
[tex]x^{2} -6x+8-0[/tex]
[tex]x^{2} -4x-2x+8-0[/tex]
[tex]x(x-4)-2(x-4)=0[/tex]
[tex](x-4)(x-2)=0[/tex]
[tex]x-4=0[/tex] and [tex]x-2=0[/tex]
----------------------
OAmalOHopeO
-----------------------
The valid conclusions for the quadratic equation x² - 6x + 8 = 0 are:
x - 4 = 0 and x - 2 = 0
Option D is the correct answer.
We have,
Quadratic equation x² - 6x + 8 = 0.
Now,
To solve the quadratic equation x² - 6x + 8 = 0, we can use the quadratic formula, which states that:
x = (-b ± √(b² - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation.
In this case,
a = 1, b = -6, and c = 8.
Substituting these values into the quadratic formula, we get:
x = (-(-6) ± √((-6)² - 4(1)(8))) / (2(1))
x = (6 ± √(36 - 32)) / 2
x = (6 ± √(4)) / 2
x = (6 + 2) / 2 or x = (6 - 2) / 2
x = 4 or x = 2
Therefore,
The valid conclusions for the quadratic equation x² - 6x + 8 = 0 are:
x - 4 = 0 and x - 2 = 0
because the roots of the equation are x = 4 and x = 2,
which can be written in factored form as (x - 4)(x - 2) = 0.
Learn more about quadratic equations here:
https://brainly.com/question/30098550
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Help me fast plz plz help
Answer:
5/8
Step-by-step explanation:
Add the two fractions
3/8 + 1/4
Get a common denominator
3/8 + 1/4 *2/2
3/8 + 2/8
5/8
Please help me. I don't understand fractions here is my problem.
Add:
5/24+9/20
Answer:
79/120
Step-by-step explanation:
5/24+9/20
to add the fractions the denominator (bottom part) has to be the same. ex you can add one third and one third to make two thirds. but you wont know what 1/2 + 1/3 is.
convert to same denominator. to do this, the fractions themselves need to stay the same value but the bottom number needs to change. ex 1/2=2/4 and 1/3= 2/6. when you multiply and divide the top and bottom part of the fraction by the same number, the value of the fraction stays the same. ex 3/6 divide both parts by 3 you get 1/3. so 3/6=1/3
to get the common denominator we have to find the least common multiple, or LCM (since 5 and 9 dont share any common factors.)
24 and 20 LCM
=120
convert both 5/24+9/20 to x/120 and y/120
5/24 multiply by 5 on top and bottom
=25/120
9/20 multiply by 6 on top and bottom
=54/120
25/120+54/120
=(25+54)/120
=79/120
A group of hikers is descending a mountain at a rate of 400 feet per hour. After three hours, what integer represents their total change in elevation?
I am not sure if it's -1200 (because it said descending)
Or if it's just 1200
Answer:
Bro it will be +1200
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Car drove 2hours at a speed of 100km per hour & 3 hour at a speed of 50 km per hour . What was the average speed of the car during the trip?
Answer:
200 kilometers and 150 kilometers
In AABC, mZA = 32°, mZB = 25°, and a = 18. Find c to the nearest tenth.
Answer:
Step-by-step explanation:
HELP
F=3
J=-3
I=2
G=0
H=0
0(0(2(-3(3(1)))))=0
^^i think that is right but I need to show my work and explain
f is a function defined by
{(-3, 1), (-2, 2), (-1, -3), (0, -1), (1, 3), (2, -2), (3, 0)}
so f (1) = 3. Then
h (g (i (j (f (1))))) = h (g (i (j (3))))
j is defined by
{(-3, 0), (-2, 1), (-1, 2), (0, -1), (1, -2), (2, 3), (3, -3)}
so j (3) = -3, and
h (g (i (j (f (1))))) = h (g (i (-3)))
And so on. Next you have i (-3) = 2, then g (2) = 0, and finally, h (0) = 0, so your answer is correct.
what is a cell and atom
Step-by-step explanation:
An atom is a chemical unit. It is the smallest particle of a chemical element. A cell is a biological unit. It is the smallest unit of any living beings. A cell is composed of molecules, and molecules are composed of atoms
