Answer:
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Step-by-step explanation:
Let c be the Castways score and r be the Raleigh Rocket’s score
Then
According to given statements, the equations will be:
[tex]c+r = 96\\r = \frac{1}{3}c[/tex]
From equation 2
[tex]3r=c[/tex]
Putting c = 3r in equation 1
[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]
Putting the value of r in equation 2
[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]
Hence,
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Find the measure of the missing angle.
Answer:
It's 155
Step-by-step explanation:
Since the whole angle is 180
And u got 25
So 180-25=155
Answer:
155
Step-by-step explanation:
a+25=180
a. =180-25
a. = 155
The sum of the digits of a positive 2-digit number is 12. The units digit is 3 times the tens digit. Find the number
Answer:
44
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:
x + y = 12
x - y^2 = 0
Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.
x + y = 12
-x + y^2 = 0
By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.
y = (-B +/- sqrt(B^2–4AC))/2A
This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.
Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.
As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.
Jared sells jewelry online he can make 25 necklaces from 375 beads yesterday he made 21 necklaces. How many beads did Jared used to make necklaces yesterday?
Answer:
315 beads
Step-by-step explanation:
The question above is calculated as:
25 necklaces = 375 beads
21 necklaces = x beads
Cross Multiply
25x = 21 × 375
x = 21 × 375/25
x = 7875 / 25
x = 315 beads
Hence, Jared used 315 beads to make 21 necklaces yesterday
−2(1 − 5v) Please help with this i got it wrong twice
Answer:
Step-by-step explanation:
Sorry for the bad handwriting :(
Simplify the expression
6s-6s=?
Answer:
0
Step-by-step explanation:
6-6=0 so when you multiply s by 0 its 0
Betsy earns $15.50 per hour working as a hairdresser. Each week, she earns an
average of $150 in tips. Write an equation to determine how many
hours Betsy worked in a week where she was paid a total of $739
Answer:So you subtract 150 from 739 which is 598 and then you divide 589 with 15.50 which is 38. The answer is 38 hours
Step-by-step explanation:
739-150=589
589/15.50 is 38
The answer is 38 hours
What fraction will equal 1
Answer:
Any fraction with the same number on both the top and bottom
Step-by-step explanation:
example: 1/1 and 2/2
Answer:
2/2, 10/10
Step-by-step explanation: They all equal one
Please help me out!
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Quinn likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 3 pairs of mittens, which took a total of 56 hours. This fall, she knitted 3 hats and 1 pair of mittens, which took a total of 27 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Quinn to knit a hat and a pair of mittens?
Answer:
hats = 5
mittens = 12
Step-by-step explanation:
hats = h
mittens = m
Uknown:
- How many hours per hats
- How many hours per mittens
Known:
- How many hours in total
- How many pairs of mittens made
- How many pairs of hats made
4h + 3m = 56
3h + 1m = 27
3h + m = 27
m = -3h + 27
4h + 3m = 56
4h + 3(-3h + 27) = 56
4h - 9h + 81 = 56
-5h = 56 - 81
-5h = -25
-5h/5 = -25/5
-h = -5
-h/-1 = -5/-1
h = 5
3h + m = 27
3(5) + m = 27
15 + m = 27
m = 27 - 15
m = 12
Check: h = 5, m = 12
4h + 3m = 56
3h + 1m = 27
4h + 3m = 56
4(5) + 3(12) = 56
20 + 36 = 56
56 = 56
3h + 1m = 27
3(5) + (12) = 27
15 + 12 = 27
27 = 27
Alright here is the next question
Answer:
Formula: length x width
Area: 51 km
Step-by-step explanation:
Area: length x width
Area: 17 x 3 = 51
Answer:
For the forumula its Area= LW (Length and width)
A= 51km
If you are trying to find the perimeter, it should be 40.
CH3CH2CHCH2CH3OH name ?
I need help with this conjugate of the equation above
Answer:
8-√5
I hope this is good enough:
The conjugate of a two-term expression is just the same expression with subtraction switched to addition or vice versa.
Find the midpoint of the segment.
A. (1.5, 2)
B. (6, 8)
C. (2, 1.5)
`4x+3y=27` Solve the equation for y.
Answer:
y = 9-4/3x
Step-by-step explanation:
subtract 4x from both sides
divide by 3
3,000 is 1/10 of?-
300
300,000
3,000
30,000
Answer:
30,000
Step-by-step explanation:
3,000 times 10 is 30,000, therefore 30,000/10=3,000
Answer:
Step-by-step explanation:
3000 of 1/10
3000*0.1=300
What is the solution for x in the equation?
29 + 15x = -x − 3
A. x= 1/2
B. x= -1/2
C. x= 2
D. x= -2
Answer:
x=-2
Step-by-step explanation:
please help this is due in ten minutes!
Answer:
Step-by-step explanation:
the sum of angles in a triangle =180
73+x+x-11=180
73+2x-11=180
62+2x=180 we subtract 62 from both side so we can solve for x
2x=180-62
2x=118
x=59
the other angle is 59-11=48
Answer:
59=x
all angles =180
2x+62=180
2x=118
x=59
Find the value of x.
Answer:
81 degrees
Step-by-step explanation:
Step-by-step explanation:
Here,
X+128+100+51=360
X+279=360
X=360-279
:.x=81
The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.
Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
Find the exact length of the third side.
39
36
The answer is 15 cm
39 cm, 15 cm, 36 cm
Mr. Ellis expected 50 families to attend parent-teacher conferences, but 60 families attended. Which choice best represents the percent error? USE YOUR FORMULA!
Question 3 options:
0.16%
16.7%
20%
183.3%
Answer:
16.7%
Step-by-step explanation:
A tractor can plough 20 acres in 4 hours. How many acres can 5 such tractors plough in 8 hours?
Answer:
200 acres
Step-by-step explanation:
plz mark brianliest
because you have on tractor going 20 in 4hours you multiply by five giving you 100 and then times 2 because the hours are doubled
I WILL GIVE THE BRAINLYEST ANSWER WHO EVER ANSWRS THIS QUICKLY AND CORRECTLY
Kiera used her calculator to work out the value of a
number x. She wrote down the first two digits of the
answer on her calculator. She wrote down 7.3.
Write down the error interval for x.
Answer:
7.3≤x<7.4
Step-by-step explanation:
Marsha deposited $8500 into a savings account 2 years ago. The simple interest rate is 5% how much did Marsha earn in interest
Answer:
Marsha earned interest = $850
Step-by-step explanation:
Amount deposited = $8500
Time = 2 years
Interest rate = 5% = 0.05
We need to find how much did Marsha earn in interest
The formula use is: [tex]I=P\times r \times t[/tex]
Where I is interest earned, P is amount deposited, r is interest rate and t is time.
Putting values and finding interest.
[tex]I=P\times r \times t\\I=8500\times 2\times 0.05\\I=850[/tex]
So, Marsha earned interest = $850
A tree casts a shadow of 18 feet. A horse standing 9 feet tall casts a 6-foot shadow. Determine
the height of the tree to the nearest foot
A.27 feet
B.21 feet
C.25 feet
D.20 feet
I don’t have time pls
Answer:
D
Step-by-step explanation:
SOMEONE PLEASE HELP!!!
Select the reason why these triangles are
similar. If they are not, select "Not similar".
Answer:
not similar bcs side are not in ratio
Write the standard equation of the circle.
I’ll give brainliest!
2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side
Answer:
the third side must be greater than 6 but less than 16
Step-by-step explanation:
use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)
5 + 11 > 3rd side (n) n < 16
5 + n > 11 n > 6
11 + n > 5; n > -6 discounted
Choose the correct compound inequality for the graph below
Answer:
The first one is the correct one
Davita brought 6 granola bars for herself and the 7 other girls in her camp group for a snack . If they share them equally, what fraction of a granola bar will each girl get
Answer: 3/4 granola bars
Step-by-step explanation:
From the question, we are given the information that Davita brought 6 granola bars for herself and the 7 other girls in her camp group.
The fraction of a granola bar that each girl gets if they agree it equally would be the number of granola bars bought divided by the total number of girls which is 8. Therefore, the calculation would be:
= 6 ÷ 8.
= 3/4 granola bars
Each person gets 3/4 granola bars.
The fraction of a granola bar that each girl will get is 3/4
To get the fraction of a granola bar will each girl get, we will take the ratio of the total granola to total number of girls.
Given the following parameters
Total number of 6 granola bars
Total number of girls plus Davita is 8
Taking the required ratio;
Ratio = number of granola: total number of girls
Ratio = 6:8
Ratio = 3:4
Hence the fraction of a granola bar that each girl will get is 3/4
Learn more on fractions here; https://brainly.com/question/24191335