Answer:
Stephen gets £147
Step-by-step explanation:
Given
Let
[tex]S = Stephen; B = Bridget; R = Richard[/tex]
So:
[tex]S + B + R = 490[/tex]
[tex]R = 2S[/tex]
[tex]S = 3B[/tex]
Required
Find S
Make B the subject in [tex]S = 3B[/tex]
[tex]B = \frac{S}{3}[/tex]
Substitute: [tex]R = 2S[/tex] and [tex]B = \frac{S}{3}[/tex] in [tex]S + B + R = 490[/tex]
[tex]S + \frac{S}{3} + 2S = 490[/tex]
Take LCM
[tex]\frac{3S + S + 6S}{3}= 490[/tex]
[tex]\frac{10S}{3}= 490[/tex]
Solve for S
[tex]S = \frac{490 * 3}{10}[/tex]
[tex]S = 49 * 3[/tex]
[tex]S = 147[/tex]
Stephen gets £147
Round 1.5 to one decimal place
Answer:
2
Step-by-step explanation:
Since rounding to the one place relies on the decimal part, the part to focus on is the .5
becuase anything greater or equal to 5 is rounded up, the answer is 2
1.5 rounded to one decimal place will be 2.
What are Places' values?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Given a fraction number 1.5 that needed to be rounded to one decimal place. Since it's at the equidistance from the nearest whole number then we will follow the even number rule.
Rounds towards the nearest neighbor, but if equidistant, it rounds towards the even number. Both 1.5 and 2.5 are rounded to 2
therefore, 1.5 will be 2, when rounded to the nearest tenth.
Learn more about place values here:
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A box has a square base with each side measuring 8 inches. The height of the box is 4 inches. What is the surface area of the box in cubic inches?
Answer:
The surface area should be 256 cubic inches
Step-by-step explanation:
The equation you use to find surface area is A=(wl+hl+hw)*2. The w stands for width (8) the l stands for length (8) and the h stands for height (4). When we put these numbers into the equation we get A=(8·8+4·8+4·8)*2. We do the multiplication first, then we add all of them up and times by 2; this gives us our answer of 256.
hope this helps:)
plz can i get brainliest.
0.4 repeating as a fraction for a mixed number
Answer:
Step-by-step explanation:
1.Rewrite the decimal number as a fraction with 1 in the denominator
2.Multiply to remove 1 decimal places. Here, you multiply top and bottom by 101 = 10
3.Find the Greatest Common Factor (GCF) of 4 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,
so the answer is
0.4= 2/5
Please answer correctly! I will Mark you Brainliest!
Answer:
the height is 9
Explanation:
8 × 10 = 80
720 ÷ 80 = 9
Raquel’s favorite basketball player scored 25, 17, 38, 11, and 24 points during her games.
What is the mean number of points the player scored?
Answer:
23 points
Step-by-step explanation:
Parallel lines G and H are shown in one grid and parallel lines K and J are shown on the other grid
please help
9514 1404 393
Answer:
B reflected over y, translated up
Step-by-step explanation:
The left-right reversal means there was a reflection over a vertical line. The only one among the offered choices is the y-axis.
If the lines are reflected over the y-axis, the points on the y-axis don't move. The intercepts would still be 2 and 5 after the reflection.
However, the y-intercepts have moved up 3 units to 5 and 8.
Lines g and h were reflected over the y-axis and translated up 3 units.
calculate the mean deviation for the number 75 85 96 100 121 125
Answer:
i got 15.1
Step-by-step explanation:
Norachai invests $3,183 in a retirement
account with a fixed annual interest rate of
2% compounded 6 times per year. What
will the account balance be after 18 years?
Step-by-step explanation:
hi please help i’ll give brainliest
Answer:
The answer is B
Step-by-step explanation:
IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.
ella deposits $8000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 4 years?
Abdul rented a truck for one day. There was a base fee of $19.99, and there was an additional charge of 76 cents for each mile driven. Abdul had to pay
$181.87 when he returned the truck. For how many miles did he drive the truck?
miles
х
?
Answer:
The truck drove 213 miles.
Step-by-step explanation:
181.87-19.99= 161.88
161.88÷0.76= 213
Simplify: 6^6/6^−3 Leave your answer in exponential form
Answer:
6⁹
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]
Step 2: Simplify
Exponential Rule [Dividing]: [tex]\displaystyle 6^{6 - -3}[/tex]Rewrite: [tex]\displaystyle 6^{6 + 3}[/tex]Add: [tex]\displaystyle 6^{9}[/tex]There are 40 students in a class. Boys makeup 40% of the class. If 25% of the boys wearshirt jacs, how many boys wear shirt jacs?
Answer:
6
Step-by-step explanation:
Find out how many boys makeup the class.
100% = 40
1% = 40 ÷ 100 = 0.40
40% = 0.40 x 40 = 16
Find 25% of the class.
25% = 0.40 x 25 = 10
40 - 25 = 15% of the boys wear shirt jacs.
16 - 10 = 6
The distance between A (-4, 2) and B(4, 2) is.
Step-by-step explanation:
the answer is 8 units
I remember I had this
what expression is equivalent to (3^2)^-2
Answer:
1/81
Step-by-step explanation:
You just tap the calculator
isosceles triangle ... area and y intercept comparison. WORTH 100 points !!!!
The American antelope (pronghorn) and the wildebeest are among the fastest mammals on the planet,
particularly at running long distances. The maximum recorded speed for the antelope is 88.5 km/h, which it
can sustain for nearly one kilometer.
On the other hand, the distance, d, in kilometers that the wildebeest can run in t hours is given by the equation
d=80.5t
Assuming both animals are running at constant speeds, which animal can run faster?
Choose 1 answer:
The American antelope
B
The wildebeest
They can run at the same speed.
Answer:
The Wildebeest
Step-by-step explanation:
I’m guessing
Answer:
Correct answer is a
Step-by-step explanation:
What is the slope of the line given by the equation y = 12x?
Answer:
up 12 over 1
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
12 is before x and the b or y-intercept is 0
Hope it helps have a good day
Se sabe que el virus SARS-CoV-2 es de forma aproximadamente esférica cuyo diámetro del virus se ha encontrado para colocar entre 50 nanómetro a 140 nanómetro. Halle la dimensión para dicho volumen a) L2T b) L3 c) L4 d) ML3
Answer:
L³
Step-by-step explanation:
De la pregunta anterior se nos dice que el diámetro del virus esférico
= 50 - 140 millas náuticas
Radio = 50 - 140 nm / 2
= 25 - 70 millas náuticas
El volumen de una esfera es
= 4/3 πr³
Usando el análisis dimensional
4/3 = constante
π = constante
[r] = Dimensión de longitud = L
Por lo tanto, la dimensión del volumen de la esfera = L³
A. What is the perimeter of the rectangle?
B. What is the area of the rectangle?
Answer:
A) perimeter = 3 + 3 + 8 + 8 = 22 units
B) area = 3 x 8 = 24 units²
Step-by-step explanation:
Factorise fully the following x2+2x
Answer:
x(x+2) is the answer
Step-by-step explanation:
x²+2x
x(x+2)
SOMEONE HELP please!!!! *ill mark brainliest
Answer:
-12 degrees
Step-by-step explanation:
the graph
H E L P
what is the slope??
9(2b - 6)
Help I tried 6 times...
Use distributive property.
18b-54
plis help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Equation: 2x + 1 = 9x - 13
There are two chairs in each row.
Step-by-step explanation:
Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.
2x + 1 = 9x - 13
What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...
2x + 1 - 9x = -13
Now, combine -9x and 2x to get -7x.
-7x + 1 = -13
Now subtract 1 from both sides. This is done so we solve for x directly.
-7x = -13 - 1
Subtract -1 from -13 to get -14.
-7x = -14
Now divide both sides by -7.
x = -14/-7
Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!
x = 2
With that, the equation is solved. There are 2 chairs in each row.
Tatum walks her dog 2/3 mile every day after school. How many miles does she walk her dog in 5 days
The number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're given that:
Each day, Tatum walks her dog 2/3 milesFor 5 days, the total distance her dog walked = 2/3 + 2/3 + 2/3 + 2/3 + 2/3
Since denominators are same, thus:
[tex]\dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} = \dfrac{2+2+2+2+2}{3} = \dfrac{10}{3}[/tex]
We could've easily done it as: 2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 5 times 2/3 = [tex]5 \times \dfrac{2}{3} = \dfrac{5 \times 2}{3} = \dfrac{10}{3}[/tex]
Thus, the number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)
Learn more about fraction addition here:
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EASY 10 POINTS AND BRAINLEIST
Write an inequality that represents this situation below. Be sure to define your variable in words.
The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.
Answer:
100-(8 times y)
Step-by-step explanation:
The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.
8 a peice
This means that the money costs 8$ for each of the players. We don't know how many players there are, so we will just label the amount of players as "y"
And we will multiply 8 times y to get our answer
And then we will subtract THAT answer minus 100 to get our full answer.
Hope this helps!
Have a great day!
Hey can you help me fast!!!
Answer: -15 + 42
Step-by-step explanation:
Given that the measurement is in centimeters, find the circumference to the nearest tenth.
A: 28.3cm
B:56.5cm
C:63.6cm
D:254.3cm
Which of the following inequalities is true?