A number h added to -3 is at most 3.4
A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)
Answer:
Dimes = 35
Quarters = 14
Step-by-step explanation:
Let
quarters = q
Dimes = d
Total coins = 49
There are 2.5 times as many quarters as there are dimes in the bag
Dimes = 2.5q
Quarters + Dimes = Total
q + 2.5q = 49
3.5q = 49
q = 49/3.5
q = 14
d = 2.5q
= 2.5 * 14
= 35
d = 35
Therefore,
Dimes = 35
Quarters = 14
Answer:
The system of equations that models this equation area:
d + q = 49
q = 2.5d
Bags of flour come in 3 sizes:
Small bag: A 500 g bag costs 90p.
Medium bag: A 2 kg bag costs £3.40.
Large bag: A 4 kg bag costs £7.60.
Calculate the cost of 2 kg for the small and large bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.
Answer:
Ik where u got this q from but:
small bag is £3.60
large is $3.80
Step-by-step explanation:
the 500 grams x 4 to get 2kg then do 90p x 4
then
4kg divided by 2 to get 2kg as the question states, then do £7.60/2
hegarty maths anyone?
Find the average rate of change
f(x)=x^2+9x+13 where x2=5 and x1=2
the answer in the picture
On a coordinate plane, the center of a circle P is at the point (2, 15) . Point M is located on the circle at (7, 3). Which equation describes circle P?
Answer: (x - 2)^2 + (y - 15)^2 = 13^2
Step-by-step explanation:
We know that the general equation for a circle is:
(x - a)^2 + (y - b)^2 = R^2
Where:
(a, b) is the center of the circle
R is the radius of the circle.
First, we know that the center of the circle is the point P, (2, 15)
Now, we also know that point M, (7, 3), is located at the circle.
Then we know that the radius of the circle will be equal to the distance between point P and point M.
Remember that the distance between two points (a, b) and (c, d) is:
Distance = √( (a - c)^2 + (b - d)^2)
Then in our case, we have:
Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13
This means that the radius of the circle is R = 13.
Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:
(x - 2)^2 + (y - 15)^2 = 13^2
 ......... you can give me solving
Find the unknown side length. Write your answer in simplest radical form.
Answer: 1. x= 20 units, 2. x= [tex]5\sqrt{3}[/tex] units 3. x= [tex]4\sqrt{2}[/tex] units.
Step-by-step explanation:
In a right triangle,
[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex] (Pythagoras theorem)
1. Hypotenuse = x , Base = 16, Perpendicular = 12
[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]
2. Hypotenuse = 14 , Base = 11, Perpendicular = x
[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]
3. Hypotenuse = 9 , Base = x, Perpendicular =7
[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]
Someone please help me
Susan purchased a prepaid phone card for $15. Long distance calls cost 14 cents a minute using this card. Susan used her card only once to make a long distance call. If the remaining credit on her card is $9.26, how many minutes did her call last?
Answer:
41 minutes
Step-by-step explanation:
Step one:
given data
Susan purchased a prepaid phone card for $15
let the number of minutes be x
and let the total be y
per minute call cost = 14 cents = $0.14 per minute
Hence the expression for the situation is given as
y= 15-0.14x
Step two:
given that the balance after a call is 9.26
9.26=15-0.14x
solve for x
9.26-15= -0.14x
5.74=0.14x
divide both sides by 0.14
x=5.74/0.14
x=41 minutes
250 is what percent of 200?
Answer:
125%
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.
Hope that helps
Have a good day :)
Please help me for brainliest!! There is a picture! Answer choices : 2, 4, 6, 8
Answer:
x = 2
Step-by-step explanation:
The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )
14x = 28 ( divide both sides by 14 )
x = 2
PLS HELP MEEEEEE ( I don’t need to know the first one )
Answer:
k=27
Step-by-step explanation:
Answer:
direct variation is y = kx
k is the slope of the line y = mx + b
i don't know that last one, sorry
Step-by-step explanation:
Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
If an 8 sided solid is rolled 180 times, how many times would you expect either a 3,5, or 7 to be rolled?
Answer:
no
Step-by-step explanation:
Which of the following rational functions is graphed below?
Answer:
there is no attached file
Step-by-step explanation:
Which angles in the picture are NOT supplementary?
A.) 2 and 3; 1 and 4
B.) 1 and 3; 2 and 4
C.) 4 and 1; 3 and 4
D.) 1 and 2; 2 and 3
B.) 1 and 3; 2 and 4 in the picture are not supplementary.
Supplementary angles refers to the type of angles whose sum is 180°. It is not mandatory for the division of angle to be in half. The angles can be 60° and 120°, 130° and 50°, 90° and 90° and so on.
In the figure, we can see two lines intersect each other. Angle 1 and 2 are present on straight line, and hence, their sum will be 180°. Angle 2 and 3 are present on straight line, and hence, their sum will be 180°. Angle 3 and 4 are present on straight line, and hence, their sum will be 180°. Angle 1 and 4 are present on straight line, and hence, their sum will be 180°.
Angle 2 and 3 and angle 1 and 4 are opposite angles, that are not present on same straight line. Therefore, they are not supplementary angles.
Learn more about supplementary angles -
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Need a little help with this.
Answer:
a.) not like terms
b.) not like terms
c.) like terms ; 14 yards
Step-by-step explanation:
this is for freckle which I hate can someone help?
Answer:
The answer is B. 26 miles per hour.
Step-by-step explanation:
13+13=26
X goes by an hour.
I need help I’m failing
Answer:
D
Divide both by 3
Step-by-step explanation:
What is the solution to the system of equations?
Use the linear combination method.
{2x−3y=93x+5y=4
Answer:
fffffffffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
Answer:
(3,-1)
I took the test, it said it was right.
Marcy brought 25 pencil for $1.50. What is the cost, in dollars, of 1 pencil.
PLEASE HELP
need to know cos(F), sin(F), and tan(F)
WILL GIVE BRAINLIEST
Answer:
Cos(F) = 5/13
Sin(F) = 12/13
Tan(F) = 12/5
Step-by-step explanation:
Soh Sine: Opposite(12) over Hypotenuse(13)
Cah Cosine: Adjacent(5) over Hypotenuse(13)
Toa Tangent: Opposite(12) over Adjacent(5)
help me pleaseeeeeeee
© ABCD is a rectangle with sides 6 cm and
8 cm. If its diagonals cross at X, the length
of AX is
Answer:
10
Step-by-step explanation:
If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm
The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.
Hence,
Hypotenus = sqrt (opposite² + adjacent²)
AX = sqrt[(8²) + (6²)]
AX = sqrt(64 + 36)
AX = sqrt(100)
AX = 10
Use a calculator to find the trigonometric value to
4 decimal places.
tan 31°
=
Answer:
Approximately 0.6009
The value of tan 31 is 0.6008606.
What is Trigonometry?
The branch of mathematics concerned with specific functions of angles and their application to calculations.
As, the angle 31° lies between 0° and 90° (First quad).
So, tangent function is positive in the first quadrant.
Tan 31 degrees= tan (0.54105 . . .) in radians.
As, using degree to radian conversion,
θ(radians) = θ in degrees × (π/180°)
31 degrees = 31° × (π/180°) rad
= 0.5410
So, tan 31°
= tan(0.5410)
= 0.6008606.
Hence, tan 31= 0.6008606.
Learn more about trigonometry here:
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An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Answer:
She originally bought either 20 or 32 shares
Step-by-step explanation:
An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?
Let the number of shares she bought be represented by 1600/x
This is calculated as:
1600/x = 1120/x + 10 + 4
Multiply through by (x)(x - 10)
1600(x-10) = 1120(x) + 4(x)(x - 10)
1600x - 16000 = 1120x + 4x² - 40x
Collect like terms
4x² + 1120x - 1600x - 40x +16000 = 0
4x² - 520x + 16000 = 0
Using the Almighty formula method
= -b ± √b²- 4ac/2a
a = 4, b = -520 , c = 16,000
Hence:
= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4
= 520 ± √14400/8
= 520 ± 120/8
520 - 120/8
= 400/8
= 50
520 ± 120/8
= 520 + 120/8
= 640/8
= 80
Since we have:
1600/x
When x = 50
= 1600/50
= 32
When x = 80
= 1600/80
= 20
Therefore, she originally bought either 20 or 32 shares
PLEASE I BEG OF YOU PLEASE HELP ME PLEASEE
Answer:
hmmm this is too hard for me.
Step-by-step explanation:
O is the centre of the circle. AB is a diameter.
Calculate the values of a and b. Please help i cant understand it, i’ll give the brainliest for the person who answers correctly
Answer:
The value of a is 63° and the value of b is 27°
Step-by-step explanation:
In the given figure
∵ OA, OB, and OC are radii of the circle O
→ The radii of a circle are equal
∴ OA = OB = OC
In Δ AOC
∵ OA = OC
∴ Δ AOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OAC and ∠OCA are the base angles of the triangle
∴ m∠OAC = m∠OCA
∵ m∠OAC = a°
∴ m∠OCA = a°
→ The sum of angles in any triangle is 180°
∵ a° + a° + m∠AOC = 180°
∵ m∠AOC = 54°
∴ a° + a° + 54 = 180°
→ Add the like terms
∴ 2a° + 54 = 180°
→ Subtract 54 from both sides
∴ 2a° = 126°
→ Divide both sides by 2
∵ m∠OAC = m∠OCA = 126 ÷ 2
∴ a° = 63
∴ The value of a is 63°
In ΔBOC
∵ OB = OC
∴ Δ BOC is an isosceles triangle
→ Base angles of the isosceles triangle are equal
∵ ∠OBC and ∠OCB are the base angles of the triangle
∴ m∠OBC = m∠OCB
∵ m∠OBC = b°
∴ m∠OCB = b°
∵ ∠AOC is an exterior angle of ΔBOC at the vertex O
→ The measure of the exterior angle equals the sum of the measure
of the opposite interior angles to this vertex
∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC
∴ m∠OBC + m∠OCB = m∠AOC
→ Substitute their measures
∵ b° + b° = 54°
→ Add the like terms
∴ 2b° = 54
→ Divide both sides by 2
∴ b° = 27
∴ The value of b is 27°
5) Amarian scored 24 points in the second half of the basketball game.
This is 75% of the points he scored in the game. How many points did
Amarian score in the game?
(The answer is NOT 18)
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answer: 9:4
Step-by-step explanation:
I think