Answer:
In the box. we have 5 20 pence coins and 13 10 pence coins
Step-by-step explanation:
Let the number of 10 pence coins be x and the number of 20 pence coins be y
The sum of these numbers is 18
Thus;
x + y = 18•••••••(i)
Writing the value in pence only
£2.30 * 100 = 230 pence
Now we have that;
total 10 pence coin amount = 10 * x = 10x
Total 20 pence coin amount = 20 * x = 20y
10x + 20y = 230
x + 2y = 23 •••••••(ii)
from ii;
x = 23-2y
Substitute this into i
23-2y + y = 18
23-18 = 2y-y
y = 5
Recall;
x + y = 18
x + 5 = 18
x = 18-5
x = 13
State the null and alternative hypothesis: The average score of 40 high school basketball games is less than 26
Answer:
[tex]H_o:\mu = 26[/tex]
[tex]H_a:\mu < 26[/tex]
Step-by-step explanation:
Given
Average score is less than 26
Required
Determine the null and alternate hypothesis
Since the average is said to be less than 26; that represents the alternate hypothesis.
The null hypothesis will be:
[tex]Average = 26[/tex]
So, we have:
[tex]H_o:\mu = 26[/tex]
And the alternate hypothesis
[tex]H_a:\mu < 26[/tex]
The first hexagon is dilated to form the second hexagon.
Select answers from the drop-down menus to correctly complete the statements.
The scale factor is
0.80
1.25
This represents
.
Answer:
1.25
Step-by-step explanation:
(7^3)^-5
Please help! :)
I need this for today someone can help me!!!
what is x+2y=15 by elimanation
x = 15 − 2 y i hope this is the answer
To maintain an acceptable level of chlorine in your pool, you add 1.4 gallons of
chlorine. This is 0.007% of the amount of water in your pool. How many gallons
of water are in your pool?
4 / .007% = 1.4 / .00007 = 20000 gallons
how is everyone's day? pt.2 still doing missing work
Answer:
I’m in classss
Step-by-step explanation:
hat is the slope and y-intercept of the linear function?
y = -8x + 2
Answer:
Slope: -8
y-intercept: (0,2)
Step-by-step explanation: Hope this helped! Use the slope intercept form to find the slope and y.
Find the value of each variable in the parallelogram
Alright.
For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:
3x+2=23
2y-7=9
Solve using GEMDAS/PEMDAS, and you'll get these answers.
3x+2=23
3x=21
x=7
2y-7=9
2y=2
y=1
For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:
3y+5=14
2x-5=17
Solving them would make:
3y+5=14
3y=9
y=3
2x-5=17
2x=22
x=11
For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:
130=2h
5k=50
solve them and you get
h=65
k=10
___________________________________________
Hope that helped. Good luck.
Answer:
7.) y=8, x=7
8.) y=3, x=11
9.) h=65, k=10
Step-by-step explanation:
First, let's start with #7. By definition of a parallelogram, we can say that opposite sides are congruent, meaning 2y-7=9 and 3x+2=23.
So, solving these problems-
2y-7=9
2y=16
y=8
3x+2=23
3x=21
x=7
Now, let's move on to #8. For this, a defining property of a parallelogram is that the diagonals bisect each other. So, 3y+5=14 and 2x-5=17.
Let's solve these equations-
3y+5=14
3y=9
y=3
2x-5=17
2x=22
x=11
Now, finally #9. Another defining property of a parallelogram is that opposite angles are congruent. So, 2h=130 and 5k=50.
So, h= 65 and k= 10.
write an expression thats is equivalent to 8(a+5)
Answer:
8a+40
Step-by-step explanation:
8(a+5)
Distribute the (8) by multiplying it by the (a) and the (5).
Pls help me
I’m stuck on this question pls
Help please-
The state fair is a popular field trip destination. This year the senior class at High School A and he senior class at High School B both planned trips there. The senior class at High School A rented and filled 2 vans and 5 buses with 307 students. High School B rented and filled 6 vans and 10 buses with 626 students. Each van and each bus carried the same number of students.Find the number of students in each van and in each bus.
Let x = number of students in each van
y = number of tudents in each bus
Equation 1: 2x+5y=307
Equation 2: 6x+10y=626
Part A: Which method will you use to solve this problem? (Graphing (Rewrite equations in slope intercept form first), Substitution, or elimination) ATTACH YOUR WORK
Part B: How many students can a van carry?
How many students can a bus carry?
Answer:
Use elimination, x = 6, y = 59
Step-by-step explanation:
1) Multiply Equation 1 by 2
E1: 4x +10y = 614
E2: 6x+10y = 626
2) Subtract E2 from E1
-2x = -12
x = 6
3) Substitute x = 6 into one of the equations (I used the original Equation 1)
2(6) +5y = 307
12+ 5y = 307
5y = 295
y = 59
A van can carry 6 students, and a bus can carry 59 students.
a 66
b 8
c 350
d 32
:)))))
Answer:
d) 32
Step-by-step explanation:
If 16 blue cones are there, and the blue cones are 50 % of all cones, tat means that half or 50% of all cones are blue.
50% +50% = 100%
And hence,
16 + 16 = 32 blue cones
Hope it helps :)
-972, 324, -108, 36, -12... What is the next number?
Answer:
105
Step-by-step explanation:
For the diagram shown, which angles are alternate interior angles?
Answer:
∠3 and ∠5
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. x- y = -3
Answer:
y=x+3
Step-by-step explanation:
x-y=-3
y=x-(-3)
y=x+3
A plane flies 1.6 hours at 150 mph on a bearing of 10°. It then turns and flies 9.1 hours at the same speed on a
bearing of 100°. How far is the plane from its starting point?
9514 1404 393
Answer:
1386 miles
Step-by-step explanation:
The plane flies ...
(150 mi/h)(1.6 h) = 240 mi
on its first leg. Then it flies ...
(150 mi/h)(9.1 h) = 1365 mi
on the second leg. The flight directions differ by 90°, so the distance from the starting point can be found using the Pythagorean theorem.
c² = 240² +1395² = 1920825
c = √1920825 ≈ 1385.94
The plane is about 1386 miles from its starting point.
1. Calculate the area of the figure below. Show all of your calculations (distance and area) for full credit.
Answer:
Not enough information. Where is the picture?
Step-by-step explanation:
Please add picture.
I bought a car for $25,000, but its value is depreciating at a rate of 10% per year. How much will my car be worth after 8 years?
Answer:
5000
Step-by-step explanation:
Ur car loses 2500 dollars in value per year
45j + 15 please help me bro please
Answer:
15 (1 + 3 j)
Step-by-step explanation:
If both the base and height of the triangular base are doubled, the area of the base is multiplied by what
Answer:
the area is multiplied by 4
Step-by-step explanation:
ex. i did height and base both are two the area is two
then if both are 4 then the are is 8
I checked with base and height = 4, area = 8
base and height = 8, area =32
Plz hurry will mark brainlyest.
Answer:62
Step-by-step explanation:
HELP QUICK!!!
Which equation results from isolating a radical term and squaring both sides of the equation for the equation
sq root c-2-sq root c =5
Answer:
Step-by-step explanation:
√(c-2) - √c = 5
√(c-2) = √c + 5
c-2 = c + 10√c +25
What is the measure, in degrees, of angle x?
A
26.8
B
47.8
C
116.8
D
296.8
The answer is C
Step-by-step explanation:
180-63.2
Find the missing angle.
(137°
102°
?
Answer:
66°
I hope it helps.........
The missing angle ∠ABC is 35°.
Let the missing angle be x and y To find the missing angle y, we need to solve the equation 102° + x + y = 180, where x and y are angles.
Given that x + 137 = 180, we can substitute the value of x in terms of 180 - 137:
x = 180 - 137
x = 43°
Now, we can substitute the value of x into the equation y =∠ABC
102° + x + y = 180
102° + 43° + y = 180
Combining like terms:
145° + y = 180
To find y, we subtract 145° from both sides:
y = 180 - 145
y = 35°
Therefore, the missing angle ∠ABC is 35°.
To know more about angle click here :
https://brainly.com/question/30377304
#SPJ2
I WILL MARK BRAINLIEST
A circle has a radius of 48 millimeters.
What is the length of the arc intercepted by a central angle that measures 3π/4 radians?
Express the answer in terms of π .
Answer:
36π mm
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle (in radians).
If r = 48 mm and Ф = 3π/4, then the arc length is:
s = rФ = (48 mm)(3π/4) = 36π mm
Answer:
36π
Step-by-step explanation:
Which equation is graphed along with the parent function?
g(x) = RootIndex 3 StartRoot x + 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
g(x) = RootIndex 3 StartRoot x minus 4 EndRoot + 3
g(x) = RootIndex 3 StartRoot x + 4 EndRoot + 3
Answer:
B. g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4
Step-by-step explanation:
edg 2021 .. its correct
The equation that is graphed along with the parent function is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]
The parent function is a cube root function, represented as:
[tex]f(x) = \sqrt[3]{x}[/tex]
First, the parent function is horizontally shifted right by 3 units
The rule of this transformation is:
[tex](x,y) \to (x - 3,y)[/tex]
So, we have:
[tex]f'(x) = \sqrt[3]{x - 3}[/tex]
Next, the transformed function is vertically shifted up by 4 units
The rule of this transformation is:
[tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]g(x)=\sqrt[3]{x-3} +4[/tex]
Hence, the equation is [tex]g(x)=\sqrt[3]{x-3} +4[/tex]
Read more about function transformation at:
https://brainly.com/question/18249265
2(6+2x-1) pleas help fast
Answer:
4x+10
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
2(6+2x-1) = 8. Mark me Brainliest.
Jenna is having her birthday party at the ice cream palace. The ice cream party palace charges 2.49 for each ice cream cone
Answer:
No answer
Step-by-step explanation:
You seemed to have not pisted the whole question. if you need to find the cost of a certain number of cones, use this equation.
Y=2.49x
Let Y equal the total cost
Let x equal the number of cones
For a company picnic, Cindy ordered a box of
fresh-baked gingerbread cookies and sugar
cookies. The box included a total of 60 cookies,
and 75% of them were gingerbread. How many
gingerbread cookies did Cindy get?
Answer:
Cindy got 45 cookies.
Step-by-step explanation:
60*.75=45