Answer:
The school purchased 4 soccer balls.
Step-by-step explanation:
Total cost of basketball and soccer ball = $248
We are given: The number of basketballs purchased was 6 less than 3 times the number of soccer balls purchased.
We can write it as
x = Soccer Balls
3x-6 = Basketballs
Cost of each Soccer Ball = $20
Cost of each Basketball = $28
The equation will become
[tex]20(x)+28(3x-6)=248[/tex]
Solving the equation to find x
[tex]20(x)+28(3x-6)=248\\20x+84x-168=248\\104x=248+168\\104x=416\\x=\frac{416}{104} \\x=4[/tex]
So, Soccer balls x = 4
Basketballs = 3x-6 = 3(4)-6 = 12-6 = 6
So, the school purchased 4 soccer balls.
Which answer choice shows 7.931 rounded to the nearest half?
A. 7
B. 7.5
C. 8
D. 8.5
(2a + 3)^2
– (2a – 3)^2
.
Answer:
24a
Step-by-step explanation:
Matt is running for student council. His friends are going to help him give out 15 posters and 6 banners. Matt plans to pack all of the posters and banners in boxes. He wants to put the same number of posters and the same number of banners in each box. What is the greatest number of boxes Matt can pack?
Answer:
6 Boxes
Step-by-step explanation:
6 Boxes
1 Poster and 1 Banner in each box
Find the sine of J. Write your answer in rationalized form
Answer:
[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]
Step-by-step explanation:
As we know that
sinФ = opposite ÷ hypotenuse
Given the triangle with
Ф = JThe opposite of j is [tex]4\sqrt{5}[/tex]The length of the hypotenuse of a right triangle can be calculated as:
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]c=\sqrt{\left(3\sqrt{2}\right)^2+\left(4\sqrt{5}\right)^2}[/tex]
[tex]c=\sqrt{3^2\cdot \:2+4^2\cdot \:5}[/tex]
[tex]c=\sqrt{18+80}[/tex]
[tex]c=\sqrt{98}[/tex]
[tex]c=\sqrt{7^2\cdot \:2}[/tex]
[tex]c=\sqrt{2}\sqrt{7^2}[/tex]
[tex]c=7\sqrt{2}[/tex]
so
sinФ = opposite ÷ hypotenuse
substituting the values Ф = J, opposite = [tex]\sqrt{5}[/tex], hypotenuse = [tex]c=7\sqrt{2}[/tex]
[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]
Therefore,
[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]
PLEASE HELP ME I NEED THE ANS IN 5 mins
A)it is not possible to tell whether a is greater than or less than zero
b) a is less than zero
c)a is greater than zero
d) a=-1
Answer:
A
Step-by-step explanation:.................
Help me solve this problem please
Answer:
the answer is x= -3
y = -14
Two functions are shown below. f(x) = 6x + 3 g(x) = 3x - 2 What is the product of f(3) and g(- 4) B. 210 -210 294
Answer:
f(3)=21
g(-4)=-14
Step-by-step explanation:
Hope this helps
!!!HELP ME WITH THIS QUESTION PLEASE!!!
Answer:
C
Step-by-step explanation:
Hope this helps
Find the area of the figure
Answer:
45 I'm pretty sure. so it 45
Answer:
The figure is 5.5in^2.
Step-by-step explanation:
To find the area of the triangle portion, we will use the formula for area of a triangle, [tex]\frac{bh}{2}[/tex], where b = base and h = height.
So lets find our variables,
b = 3
h = 3
So we can plug that into our equation and find the area,
3 · 3 = 9 and 9 ÷ 2 = 4.5
So the area of the triangle is 4.5in^2
To find the area of the square portion, we will use the formula for the area of a square or rectangle, l · w, where l = length and w = width
So lets find our variables,
l = 1
w = 1
So 1 · 1 = 1in^2
To find the total area we will add the areas of the two components together,
4.5 + 1 = 5.5in^2
So the area of the total figure is 5.5in^2.
someone help plz plz plz plz
Answer:
slope is -55 balance decreases by $55 each month
Step-by-step explanation:
solve for slope using slope formula:
(620-895)/(6-1) = -275/5 = -55
decreases by $55 since that's the slope
There are 18 marbles in a box. Six of the marbles are red and four of the marbles are blue.
What is the probability that a randomly selected marble will not be blue or red?
Answer:
4/9 ..................
-x+5-5x=8 pls help and I’ll give brainlluest
Answer: x = -1/2
-x + 5 - 5x = 8
⇔ -6x + 5 = 8
⇔ -6x = 3
⇔ x = 3/(-6) = -1/2
Step-by-step explanation:
Answer:
option 4
x=-1/2Step-by-step explanation:
-x +5-5x=8
-6x= 3
x= -1/2Give an example of a time when you used estimation to solve a problem.
Answer:
I wanted to know how many stars are in the sky above my house I counted and made the estimate of 80
List the first 4 terms of a geometric sequence with a first term of 2 and a common ratio of 5.
I have no clue even where to start. The question after that is the same, except the first term is 4 and the common ratio is 4.
Answer:
pohujnkmhugyfdtr
Step-by-step explanation:
The first 4 terms of the geometric sequence with a first term of 2 and a common ratio of 5 are 2, 10, 50, 250
using the geometric sequence formula,
aₙ = arⁿ⁻¹where
a = first term = 2
r = common ratio = 5
let find the remaining 3 terms
The 2nd term can be found below
a₂ = 2 × 5²⁻¹ = 2 × 5 = 10The 3rd term can be found below
a₃ = 2 × 5³⁻¹ = 2 × 25 = 50The 4th term can be found as follows
aₙ = 2 × 5⁴⁻¹ = 2 × 125 = 250Therefore, the first 4 terms are 2, 10, 50, 250.
read more: https://brainly.com/question/19799925?referrer=searchResults
PLZZZZ ANSWER
Martin drinks 1/4 of a litre of juice each day.
Juice costs £3.60 for a 2 litre carton and £2.00 for a 1 litre carton.
Martin buys enough juice to last for 2 weeks (14 days).
What is the lowest price Martin can pay for this juice?
Given :
Martin drinks 1/4 of a litre of juice each day.
Juice costs £3.60 for a 2 litre carton and £2.00 for a 1 litre carton.
To Find :
Martin buys enough juice to last for 2 weeks (14 days).
What is the lowest price Martin can pay for this juice.
Solution :
Amount of litre used in 14 days is :
V = 14× ( 1/4 )
V = 3.5 liter
Lowest price to pay is :
P = 2 × Cost of one 2 L carton
P = £(2 × 3.60)
P = £7.2
The lowest price Martin can pay for this juice is £7.2 .
Hence, this is the required solution.
Find the domain and range of the following function f(x) = 31x + 71 - 2?
Domain. [-2.0) Range: (-0,00)
O Domain: (-2,0) Range: (-800,9)
Domain: (-0.00) Range: (-2,0)
Domain. (-0.00) Range: (-2,0)
I need help asap!
Answer: domain and range are all real numbers!
Step-by-step explanation:
Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sold $1650.00 worth of items last week. What was Vanessa's total pay last week?
Answer:
$482.50
Step-by-step explanation:
Base salary: $400
5% of 1,650 is 82.50
.05 x 1,650 = 82.50
Commission : $82.50
Equation: 400 + 82.50 = $482.50
please answer seriously thanks !! will give brainliest
Answer:
Step-by-step explanation:
21) CD - chord (segment)
22)FG - line
23) EC - segment - diameter
24) AB - segment - radius
25) H - Point
26) A - Point
Jeff drove 5,784.5 miles in 12 days . To the nearest mile , what was the rate of miles Jeff drive each day
Answer:
500mph
Step-by-step explanation:
5784.4 miles --> estimates to 6000 miles
6000/12=500
500mph
Warm-Up: Solve each equation for x.
1. x + 5 = 15
Answer:
x = 10
Step-by-step explanation:
x + 5 = 15
x = 15 - 5
x = 10
Thus, x = 10
-TheUnknownScientist
ASAP HELP ME!!!!!!!
1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.
Answer:
1. Linear functions are written in the form [tex]mx+b[/tex] whereas exponential functions are written in the form [tex]b^{x}[/tex].
2. Increasing exponential growth functions will rise much quicker than increasing linear functions.
3. Example of a linear function: [tex]y=2x+1[/tex], example of an exponential function: [tex]f(x)=3^{x}[/tex]
Step-by-step explanation:
Answer:
Linear functions are written in the form whereas exponential functions are written in the form .
Step-by-step explanation:
Yamila had an average score of 4 strokes on the first 6 holes of a mini-golf course. On the 7th hole, she scored 11 strokes. What was her mean score for the first 7 holes?
-3y + 8x = 36
6x + y = -21
Answer:
x=−27/26
and y=−192/13
Step-by-step explanation:
6x+y=−21;8x−3y=36
Step: Solve6x+y=−21for y:
6x+y=−21
6x+y+−6x=−21+−6x(Add -6x to both sides)
y=−6x−21
Step: Substitute−6x−21foryin8x−3y=36:
8x−3y=36
8x−3(−6x−21)=36
26x+63=36(Simplify both sides of the equation)
26x+63+−63=36+−63(Add -63 to both sides)
26x=−27
26x
26
=
−27
26
(Divide both sides by 26)
what value of r gives the line passing through (3,2) and (r,-4) A SLOPE OF 3/2
Answer:
(-6,-4)
Step-by-step explanation:
to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2
PLEASE HELP ME!!!!!!!!!
x/30 = 150/100
Answer: 45
Step-by-step explanation:
Please help! Will give brainliest!
Answer:
Step-by-step explanation:
Find the slope of each line from the graph.
Answer:
a. 1/2
b. 5/3
c. 0
d. undefined
Step-by-step explanation:
can somone please help me with this, I will give brainliest.
Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 8 units in d.
What is the unit rate of change of d with respect to t? (that is, a change of 1 unit in t will correspond to a change of how many units in d?)
The unit rate of change is blank.
Graph the relationship.
Answer:
3/8 I believe.
Step-by-step explanation:
i need to find the slope for these two lines if right you’ll get brainlist
Answer:
both negative 1 over two
Step-by-step explanation:
Answer:
-10/5 for green line aka -2x
and the parallel line would be the same -2x
the equations would be
y= =2x- 6
and the other would be
y= -2x-6
(this should be right)
need to pass whats 1+3-4+24-23=
Answer:
the answer is 5
Step-by-step explanation: