Answer: The smallest number is 118.
Step-by-step explanation:
Let's say that the consecutive numbers are x-1, x, x+1
The sum of the three consecutive numbers is 357
(x-1) + x + (x+1) = 357
So, 3x = 357
x = 357 ÷ 3
x = 119
The 3 consecutive numbers are: 118, 119 and 120
The smallest out of the 3 is clearly 118.
Hope this helps!
(x + 14)
D
А
O
A. 38
B. 36
O C. 45
O D. 40
O E. 26
4. Five hamburgers and two French fries together contain 2160 calories, while four hamburgers and five French fries contain 2680 calories. What’s the calorie count in one hamburger and one pack of French fries?
Answer:
Hamburger is 320 calories. Pack of french fries is 280 calories
Step-by-step explanation:
Represent Hamburgers as H and pack of French Fries as P then set up the equations
5H+2P=2160
4H+5P=2680
Multiply the first equation by 5
25H+10P=10,800
Multiply the second by 2
8H+10P=5360
Subtract the first equation by the second
25H+10P=10,800
-
8H+10P=5360
=
17H=5440
H=320
One hamburger is 320 calories.
Plug in 320 for H
5(320)+2P=2160
1600+2P=2160
2F=560
F=280
One pack of french fry is 280 calories
Toby just graduated from four years of college. at the beginning of each year, he took out a stafford loan with a principal of $6,125. each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. all of the loans were subsidized. toby plans to pay off each loan in monthly installments, starting from his graduation. what is the total lifetime cost for toby to pay off his 4 loans? round each loan's calculation to the nearest cent. a. $7,904.04 b. $31,616.16 c. $10,393.82 d. $36,490.25 please select the best answer from the choices provided a b c d
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
What is a Loan?This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
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Unit 6.6, Lesson 9: Practice Problems
Jarm-Up
Determine the greatest common factor (GCF) for each pair of numbers,
14 and 21
6 and 8
10 and 50
Answer:
the answer is 798 + 789 mawdgghhji the same time as the work of the Maroons
plsss help ill give brainiest
To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.
Area of RectangleThe area of a rectangle is given as the product between the length and it's width.
Data;
Length = 9inArea = 45in^2width = ?length 2 = 4inwidth 2 = 3in[tex]area = length * width[/tex]
In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as
[tex]A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in[/tex]
We can see that the width are not equal so is their length.
But if we would truly compare them, the accurate way to do that is by their area
The area of the second gauze is given by
[tex]a = 3 * 4 = 12in^2[/tex]
From the above calculations, we can see that the sheets are not similar as they have different areas.
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A tablet computer costs $399. A person pays $433.91 in the store. What is the sales tax?
A)8.25%
B)8.75%
C)9.25%
D)9.75%
Answer:
B. 8.75%
Explanation:
Answer:8.75
Step-by-step explanation:
The diameter of a circle is 10 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Circumference = diameter x pi
Circumference = 10 cm x 3.14
Circumference = 31.4 cm
What is the explicit formula of the arithmetic sequence?
-9, -6, -3, 0....
Answer:
Tn= -9+(n-1)×3
Step-by-step explanation:
d= t2-t1 =t3-t2....
=-6-(-9)=3
We realize that this is an arithmetic sequence
Therefore Tn= a + (n-1)d, whereby a if the first term= - 9,d=3
Tn=-9+(n-1)×3
Answer:An=-9+3(n-1)
Step-by-step explanation:
First, find the common difference (the amount you are adding each time). You can find this by taking the second term and subtracting the first term. Now, identify the first term. This is the first number in your list. Finally, plug the first term in for A1 and the common difference in for d in the equation an=a1+d(n-1) Note: Leave the variable n as part of the equation.
The solution for x of log, 22 = 3 is between what two integers?
Answer:
27565541.
Step-by-step explanation:
Cd Express offers 4 CDs for $60. Music place offers 5 CDs for $75. Which store offers the better buy?
Answer:
Music place offers better buy with $12.50
Step-by-step explanation:
Explanation:
To solve, we need to find the cost for 1 CD at both places. To do this, divide the total amount by how many CDs are bought. At CD Express, $60/4=$15, while at Music Place, $75/6=$12.50. Since Music Place is cheaper, Music Place offers a better buy.
The radius of a single atom of a generic element x is 161 pm and a crystal of x has a unit cell that is a simple cubic. Calculate the volume of the unit cell
The volume of the unit cell that is a simple cubic is 1.1661622e⁻²⁰.
What is Volume?Volume is the space occupied by a three-dimensional object.
By the formula of volume of atom
[tex]\rm Volume(atom) = \dfrac{4}{3} \times \pi \times r^3\\Volume(atom) = \dfrac{4}{3} \times \pi \times (161 \times 10^-^2^3)^3\\Volume(atom) = 2.1574e^-^2^1[/tex]
There are total 4 atoms, in a FCC unit cell.
The total volume is
[tex]2.1574e-21 \times 4 = 8.6296e^-^2^1[/tex]
Volume of a unit cell will be
[tex]\dfrac{8.6296e-21}{0.74} = 1.1661622e^-^2^0[/tex]
Thus, the volume of the unit cell is [tex]\rm 1.1661622e^-^2^0[/tex]
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Evaluate the expression.
A chord of a circle is 18 cm long to. It is 6. 3cm from the center of the circle. Calculate the radius of the circle to the nearest whole number
Answer: 11
Step-by-step explanation:
By the Pythagorean theorem, x is about 11 cm.
Nine less than the product of 5 and a number is 6
[tex]let\ x\ be\ the\ number[/tex]
[tex]5x-9=6\\\\5x=15\\\\x=3[/tex]
I'm assuming you want the value of x
Find the x- and y-intercepts of the graph of y=−13x+3
Answer:
x-intercept: [tex]\frac{3}{13}[/tex] or about 0.231 which is also written as ([tex]\frac{3}{13}[/tex], 0)
y-intercept: 3 which is also written as (0, 3)
[Solution One]
We can find the answer by graphing. See attached. The points at which the line intersects the different axes is the answer.
[Solution Two]
We can solve by plugging into the equation. We will do this by setting the other variable, the one we aren't solving for, to 0.
For the x-intercept:
y = −13x + 3
(0) = −13x + 3
0 - 3 = -13x + 3 - 3
-3 = -13x
[tex]\frac{3}{13}[/tex] = x
For the y-intercept:
y = −13x + 3
y = −13(0) + 3
y = 3
Please help me on this!
On a coordinate plane, 2 triangles are shown. triangle 1 has points at a (negative 3, 4), b (negative 2, 1), c (negative 4, 1). triangle 2 has points at a prime (4, negative 2), b prime (3, negative 5), c prime (5, negative 5). which rule represents the translation from the pre-image, δabc, to the image, δa'b'c'? (x, y) → (x 7, y 6) (x, y) → (x 7, y – 6) (x, y) → (x – 6, y 7) (x, y) → (x 6, y 7)
The rule which represents the translation from the pre-image (Δabc), to the image (Δa'b'c') is (x, y) → (y, x).
What is a triangle?A triangle simply refers to a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
Based on this triangle, we can deduce the following points:
The coordinates of a are given by (-3, 4).The coordinates of a' are given by (4, -2).By critically observing the triangle, we can also deduce that points were swapped as (x, y) → (y, x) and this is a reflection across line y = x.
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Answer:
B
Step-by-step explanation:
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
Answer:
Devin needs 8 cups of shampoo.
Step-by-step explanation:
The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo
can someone help me out with this problem? Thank you!
Answer:
three (3).
Step-by-step explanation:
H=O+A
c^2=5^2+12^2
c^2=25+144
c^2=169
c=√169
c=13
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of c using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = {5}^{2} + {12}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = \sqrt{25 + 144} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = \sqrt{169} [/tex]
[tex]\qquad \sf \dashrightarrow \: c = 13 \: units[/tex]
What is this equation called y=mx+b ?
(got another one removed)
Answer: it is called the slope intercept
Answer: Slope-intercept form
Step-by-step explanation:
The equation format of y = mx + b is slope-intercept.
-> m is the slope, or the steepness of the line
-> b is the y-intercept, or where the line intersects the y-axis.
Which of the following conditions would guarantee that triangles are identical?
Two triangles with the same angle measurements (Ex:both triangles have angles 35,65, and 90 degrees)
Two triangles have one angle the same and two sides the same measurement (Ex: both triangles have a 40 degree angle and two sides that are 7 and 9 cm
long)
Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Two triangles have two angles the same and one side length the same measurement (Ex: both triangles have angles 62 and 29 degrees and a side length of
10 cm)
2
Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Step-by-step explanation:
1) This would guarantee similarity, but not necessarily that they are identical.
2) The angle has to be included between the two sides, which is not specifed.
3) This would work (SSS congruence)
4) It is not specified if the side is opposite the corresponding angles.
The gross weekly pay is $424. His earnings to date for the year total $11.700. What amount is deducted from her pay this week for social security, which is taxed at 6.4 percent?
A. $748.80
B. $0
C. $424
D. $25.44
E. $27.14
Answer:424
Step-by-step explanation:
i don't know how to explain it but this seems the most correct one, her weekly gross pay is 424 and taxes end up getting taken out of the paycheck not earnings.
Solve for the variable
12 = r/6
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex]\bold{12 = \frac{r}{6} } \\ [/tex]
let's take 6 to the other side ~
[tex] \\ \bold{\implies \: r = 12 \times 6} \\ \\ \implies \: \bold\pink{r = 72}[/tex]
hope helpful ~
Answer:
r=72
Step-by-step explanation:
multiply both sides by 6 —> 12x6=r/6x6
12x6=r
73=r
ur welcome :)
brainliest please?
A local children's author donated 1,055 books to
Homestead Elementary School. The school librarian
will distribute an equal number of books to each of
the 33 classes, and keep any that are left over in
the library. How many books will each class get?
Answer:
31 books
Step-by-step explanation:
1,055 ÷ 33 = 31.96
31 books
HELPP FOR BRIANLEST PLS
Answer:
63
Step-by-step explanation:
the sum of the interior angles of a triangle is 180
so,
70+47= 117
180-117= 63
Answer:
Your answer is 63°
Explanation:
47 + 70 + angle C = 180° (Sum of all angles of a triangle is 180).
117 + angle C = 180°
So,angle C =180 - 117= 63°
What is the measure of x?
Answer:
[tex] x = 75\degree[/tex]
Step-by-step explanation:
In [tex] \triangle BDH,\: \angle x [/tex] is the exterior angle.[tex]\implies x = 36\degree + 39\degree[/tex] (By exterior angle theorem)[tex]\implies x = 75\degree[/tex]Imagine a card game in which you have a 1 out of 10 chance of winning. If you win, you get $10. If you lose, you pay $2. What is the expected value of this game
Answer:
Pay [tex]\$0.8[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.
There are two possible values for [tex]X[/tex]:
[tex]X = 10[/tex] (receive [tex]\$10[/tex],) and[tex]X = -2[/tex] (pay [tex]\$ 2[/tex].)The probability of each value is:
[tex]P(X = 10) = (1 / 10) = 0.1[/tex] as given in the question.[tex]P(X = -2) = 1 - (1/10) = (9/10) = 0.9[/tex].The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:
[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].
The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].
please help!!!!!!!!! This is Aleks
Answer:
For part A the price per pound is the same and for 50 $ it is 10 pounds.
Step-by-step explanation:
If you divide the price by the amount of tuna they will all have an answer of 5. so then you do 50 divided by 5 and get 10.
What’s the answer????
it questions is my level very hard questions
Step-by-step explanation:
graph x axis
Order negative rational numbers from least (1) to greatest (5)
-3.75 -0.55 -3% -1/2 -1/5
Answer: From least to greatest, it goes: -3.75, -0.55, -1/2 -3%, -1/5
