Answer:
1. Perimeter = 8x m
2. Area = 3x² m²
Step-by-step explanation:
From the question given above, the following data were obtained:
Breadth (B) = x m
Length (L) = 3B = 3x m
Perimeter (P) =?
Area(A) =?
1. Determination of the perimeter of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Perimeter (P) =?
P = 2(L + B)
P = 2(3x + x)
P = 2(4x)
P = 8x m
Thus, the perimeter of the rectangle is 8x m
2. Determination of the area of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Area(A) =?
A = L × B
A = 3x × x
A = 3x² m²
Thus, the area of the rectangle is 3x² m²
Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year.
Work out the value of her investment after 4 years.
Give your answer to the nearest penny.
Answer:
£8934.34
Step-by-step explanation:
[tex]8000 * 1.028^4 = 8934.34[/tex]
rounding to 2dp
if trunctuated at 2dp however, 8934.33
the number is multiplied by 1.028 to the power of four as you go through the equation four times, so it would be the same as
x * n * n * n * n, where it would simplify to x * n^4
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
15.00 + 1.75x = 7.50 + 2.25
Which function is shown in the graph below?
Answer:
y = (1/2)^x-3 + 1
Step-by-step explanation:
The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]
What is parabola?A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.
In the given figure,
The curve represent the parabola
Since the curve is passing through
(0,9) from the Y axis and touches x axis at infinity
Now we can use hit and trial method to find the exact equation
So we plot the figure one by one
Hence,
we get the correct equation,
y = [tex](1/2)^{x - 3} + 1[/tex]
To learn more about parabola visit:
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HELPPPP PLEASE!!!don’t answer js for points.
Answer:
$ 50
Step-by-step explanation:
sp = mp - discount percent of mp
or, 42 = mp - 16/100 * mp
or, 42 = 84 mp / 100
so, mp = 50
Answer:
100 - 84
50 - 42
original price=$50
248 students are going on a field trip to the Museum of Natural History. They need to be split into 31 groups. How many students will be in each group?
Answer:
* There will be 8 students in each group.
Step-by-step explanation:
248 divided by 31 equals 8. Therefore, my answer is correct.
Answer:
8 students in each group.
Step-by-step explanation:
248÷31=8
A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.
(I need the answer ASAP)
Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?
Answer:
morning = -13°C
afternoon = 4°C
so,
x = (morning - afternoon)
I hope this helps a little bit.
The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23
Answer:
423.2 is the length of the scale copy
Step-by-step explanation:
18.4 * 23 = 423.2 hope this helps!
Mrs. Simpson is frosting circular sugar cookies. Each cookie is 7 cm in diameter. How many square inches will she need to frost one dozen cookies?
Answer:
51.92 square inches
Step-by-step explanation:
Area of a circle = (pi)(r^2)
if the diameter is 7, the radius is 3.5
A = 3.14 x 3.5
A = 10.99 cm^2 for one cookie
10.99 x 12 for a dozen = 131.88 cm^2
converting cm to inches, you divide by 2.54
131.88/2.54 = 51.92 square inches.
LMK if you have questions.
hii please help i’ll give brainliest!!
Answer:
the thrid answer
Step-by-step explanation:
Josie watches a play at the theatre.
The play ends at 9:55 pm.
It takes Josie 15 minutes to get from her seat in the theatre to the bus stop.
Buses to Josie's home leave the bus top at the following times
18:25
19:25
20:25
21:05
21:25
22:05
22:25
a)
Write down the time of the earliest bus that Josie can catch.
b) How long will Josie have to wait at the bus stop for, if she catches the
earliest possible bus?
Answer:
22:25
She will wait for 15 min
Step-by-step explanation:
9:55 is 21:55 in 24h time
after 15 min it will be 22:10
the closest time will be 22:25
25-10 is 15
15 min waiting
Am I correct?? Please correct me
linear equations that share the same slope are peroendicular. true or false
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:This is FALSE Linear equations that share the same slope are PARALLEL.
:
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which inequality is graphed below?
Mary had $156.00 and spent 1/6 of it for a coat. She then bought a skirt with 1/4 the money she had left. How much money did she have left after buying her coat and skirt? Group of answer choices
Answer: $ 97.5
Step-by-step explanation:
156 * 1/6 = 26
156-26=130
130 * 1/4- 32.5
130-32.4= 97.5
WILL GIVE BRAINLIEST
(Photo is recommended)
What is the value of the expression 4 4? ____
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 20 cm?
Answer:
Undefined, it can be 20 cm, 22 cm or any value.A triangle has no limitations for any of each three sides.
Step-by-step explanation:
How it works? The triangles have no limits on their sides, but by their angles. Each triangle sums 180 degrees at the inner angles. If you don't have specific values for the angles it is not necessary to get some values for the third side. It could be 1, 2, .... or even 1000.
Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels
The question is incomplete:
Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels? The table that shows the types of bagels sold at the bagel shop on Friday is attached.
a. $70
b. $20
c. $90
d. $110
Answer:
c. $90
Step-by-step explanation:
First, you need to find the amount of bagels that Sasha purchased. The statement indicates that she buys all the chocolate chip bagels and the table shows that 28 chocolate chips bagels were sold, so that's the amount she purchased of this type of bagels. Also, the statement indicates that she buys half of the plain bagels and the table says that 16 plain bagels were sold, so you have to divide this amount by 2:
16/2=8
Then, you have to add the amount of chocolate chips bagels plus the amount of plain bagels that Sasha purchased:
28+8=36
Now that you know the amount of bagels that Sasha purchased, you have to multiply this for 2.50 that is the price per bagel:
36*2.50=90
According to this, the answer is that Sasha spends $90 on bagels.
1 + 1 = ? help now please asap!
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
Find the axis of symmetry. Question in pic. PLEASE HELP
Answer:
axis of symmetry is x = 1; vertex is (1,8)
Please please help ASAP
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
Find the value of x and justify your answer
Answer:
a.
2x+4x+3x=180 sum of interior angle of the triangle is 180
9x=180
x=180/9=20
b.
x-20+x+10+x-20=180sum of interior angle of the triangle is 180
3x-30=180
3x=180+30
x=210/3=70
c.x+10+x+20+x=180 linear pair
3x+30=180
3x=180-30
x=150/3=50
Answer:
The picture is kinda blurry so I hope I've got it right.
a) x = 20°
b) x = 70°
c) x = 50°
Step-by-step explanation:
a) 2x + 3x + 4x = 180°
9x = 180°
x = 50°
b) (x - 20°) + (x - 20°) + (x + 10°) = 180°
3x - 30° = 180°
3x = 210°
x = 70°
c) (x + 10°) + (x + 20°) + x = 180°
3x + 30° = 180°
3x = 150°
x = 50°
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
3. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount
in taxes to the government. How much did Ms. Basalyga pay in taxes?
Answer:
. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount
in taxes to the government. How much did Ms. Basalyga pay in taxes?
13.5/100×2000=270
Answer: Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount in taxes to the government. How much did Ms. Basalyga pay in taxes?
:13.5/100×2000=270
Step-by-step explanation
2. Write 6.07 x 10^7 in standard form
Please help me .
Answer:
60,700,000
Step-by-step explanation:
⇒10⁷ = 10000000
∴6.07 x10000000
=60,700,000
What is the domain of the function y= (square root) x+4
Answer:
0 ≤ x ≤ ∞
Step-by-step explanation:
Square roots always need to be either equal to or greater than zero because it should be positive inside (unless we're working with imaginary numbers).
So the domain would be that x ≥ 0 (or the third choice ⇒ 0 ≤ x ≤ ∞).
A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of ilk are needed for 8 servings?
Answer:
4 cups
Step-by-step explanation:
Number of cups of milk for 5 servings = [tex]2\frac{1}{2} =\frac{5}{2}[/tex] cups
First find number of cups of milk for 1 serving.
Number of cups of milk for 1 serving = [tex]\frac{\frac{5}{2} }{5}=\frac{1}{2}[/tex] cup
Now find umber of cups of milk for 8 servings.
Therefore,
Number of cups of milk for 8 servings = [tex]8(\frac{1}{2})=4[/tex] cups
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
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