Question 5
Two angles are complementary. If one of the angles measures 57 degrees,
how much does the other angle measure?
Answer:
33 degrees
Step-by-step explanation:
Complementary angles are 90 degrees when added.
So to find the measure of the other angle just subtract 57 from 90.
90 - 57 = 33
Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie's money was 4:1. Ali had $160 more than Bryan. How much was the sum of money.
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) Ali, Carrie and Bryan received a sum of money.
[tex]a[/tex] - Ali's money.
[tex]b[/tex] - Bryan's money.
[tex]c[/tex] - Carrie's money.
(ii) Bryan's money was [tex]\frac{3}{5}[/tex] of Ali's money.
[tex]b = \frac{3}{5}\cdot a[/tex] (1)
(iii) The ratio of Ali's money to Carrie's money was 4 : 1.
[tex]\frac{a}{c} = 4[/tex] (2)
(iv) Ali had $ 160 more than Bryan.
[tex]a = b + 160[/tex] (3)
After some algebraic handling, we have the following system of linear equations:
[tex]3\cdot a - 5 \cdot b = 0[/tex] (1b)
[tex]a - 4\cdot c = 0[/tex] (2b)
[tex]a - b = 160[/tex] (3b)
The solution of the system is: [tex]a = 400[/tex], [tex]b = 240[/tex], [tex]c = 100[/tex]
The sum of money is:
[tex]s = a + b + c[/tex]
[tex]s = 740[/tex]
The sum of money received by Ali, Carrie and Bryan is $ 740.
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many more girls than boys are there?
Answer:
I think it is 8 (not %100 sure)
Step-by-step explanation:
what I did was I divided 40 by 5 which gave me 8
I hope this helps;) sorry if it dosen't
Answer:
The Answer Is 10
Step-by-step explanation:
The Total Strength = 40 Students
The Ratio Of Boys To Girls = 3:5
So, 3 + 5 = 8
Then, Divide 8/40 So That U Get The Number Then Multiply It With The Ratio.
•8/40 = 5
•5 × 3 = Boys Strength Which Is = 15
•5 × 5 = Girls Strength Which Is = 25
So, There Are 10 Girls More Than Boys.
Hope It Helps U.
Please Mark As Brainliest.
Which jar is the best value? Please show working :) 10 points correct answer :)
Answer:
Large Jar : £1.54÷440g= 0.0035
Small Jar : £1.26÷340= 0.0037058
0.0035<0.0037058
Large Jar is the best value.
Find the value of a and b.
2x + 5y = 9
3x – 2y = 4
x= ?
y= ?
answer please i will brainly
Answer:
Brainly me please
Step-by-step explanation:
Choice 3, a = 1, b = 4, c = 5
The zoom feature on a camera
lens allows you dilate what
appears on the display. When
you change from 100% to
500%, the new image on your
screen is an enlargement of the
previous image with a scale
factor of 5. If the new image is
47.5 millimeters wide, what was
the width of the previous
image?
Select one:
a. 9.5 millimeters
O b. 23.75 millimeters
O c. 118.75 millimeters
O d. 237.5 millimeters
Answer:
23.75
its 23.75 you need fo divide it..stn loona
Answer:
9.5 milimeters
Step-by-step explanation:
100/500 = x/47.5
x = 9.5
(or just divide 47.5 by 5 because the scale factor was given)
9 t-shirts and a hat costs £93.00
4 t-shirts and a hat cost £43.00.
How much does a t-shirt cost?
How much does a hat cost?
points and brainlist if you can explain
I need it asap
Answer:
tshirt £10
hat £3
Step-by-step explanation:
there you go the answer
Kelly owns a coffee shop. Which of the following is a statistical question that she could investigate at her store?
A Typically, how many minutes does a person stand in line to get their order at
lunchtime?
C What colors should Kelly use to redecorate the shop?
Decide which rule, if any, proves the triangles congruent.
Answer:
A) SSS
Step-by-step explanation:
The triangles are congruent by SSS rule
WC = FY
MC = FP
WM = YP
the product of a number and negative 8
Answer: -8x
Step-by-step explanation:
Answer: x(-8)
Step-by-step explanation:
product= multiplication
a number could be any variable you want
negative 8 is -8
so the product of a number x( ) and negative 8 is x(-8)
what is 76,808 rounded to the nearest 100?
Answer:
76,800
Step-by-step explanation:
This is because 808 is closer to 800
Is the equation y=4x proportional
A taxi cab company wants to know if it’s customers are satisfied with the service. Each driver surveys every 10th customer during the day. Is this sample biased?
Answer:
No
Step-by-step explanation:
How many different possible meal outcomes are there if you're having one item each from the main course, sides, and drink menu?
please help me on this i really need your help
Answer: The unit rate is 16 miles per gallon
Step-by-step explanation:
464 miles for 29 gallons
? miles for 1 gallon
29x = 464
Divide both sides by 29
x = 16
I need help finding the slope!
At this point this one decides my grade
The circumference of a circle is 8π centimeters. What is the area of the circle in terms of π?
Answer:
A = 16π cm²
Step-by-step explanation:
We require to find the radius r
Given circumference C = 8π , then
2πr = 8π ( divide both sides by 2π )
r = 4 , then
A = πr² = π × 4² = 16π cm²
Answer:
A = 16π cm²
Step-by-step explanation:
took the test
Please help! Simply the polonomials!
Answer:
1) 11x^3 - 6x - 3
2) 3x^3 + 4x^2 - 2x - 1
3) 9x^2 - 4
4) -4x^4 + 2x^3 - x^2
5) x^3 - 38x - 12
Step-by-step explanation:
1) (3x^4 + 5x^3 - 7x + 2) - (3x^4 - 6x^3 - x + 5)
Step 1: 3x^4 + 5x^3 - 7x + 2 - 3x^4 + 6x^3 + x - 5 (multiply the terms in the parenthesis by the constants, which are 1 and -1)
Step 2: 3x^4 - 3x^4 + 5x^3 + 6x^3 - 7x + x + 2 - 5 (reorganize the polynomial by exponential values (ex: x^4 before x^3 before x^1))
Step 3: 11x^3 - 6x - 3 (add like terms)
2) (3x^3 + 8x - 3) + (4x^2 - 10x + 2)
Step 1: 3x^3 + 8x - 3 + 4x^2 - 10x + 2 (multiply the terms in the parenthesis by the constants)
Step 2: 3x^3 + 4x^2 + 8x - 10x - 3 + 2 (reorganize the polynomial)
Step 3: 3x^3 + 4x^2 - 2x - 1 (add like terms)
3) (3x + 2)(3x - 2)
Step 1: 9x^2 - 6x + 6x - 4 (Use FOIL to multiply binomials, or multiply the first terms, outside terms, inside terms, then last terms)
Step 2: 9x^2 - 4 (add like terms)
4) -x^2(4x^2 - 2x + 1)
Step 1: (-x^2*4x^2) + (-x^2*(-2x)) + (-x^2*1) (multiply -x^2 by each term)
Step 2: -4x^4 + 2x^3 - x^2 (simplify; remember x^2 is the same as -1*x^2)
5) (x + 6)(x^2 - 6x - 2)
Step 1: ((x*x^2) + (x*(-6x)) + (x*(-2))) + ((6*x^2) + (6*(-6x)) + (6*(-2))) (multiply the first term in the binomial by each term in the trinomial, and do the same with the second term)
Step 2: x^3 - 6x^2 + 6x^2 - 2x - 36x - 12 (simplify and reorganize)
Step 3: x^3 - 38x - 12 (add like terms again)
HELP! DUE TODAY! WILL GIVE BRAINLEST!!
What is simple interest? -provide formula and an example
Answer:
The formula for simple interest is A= P(1+rt).
Step-by-step explanation:
I legit looked it up. I didn't even know this existed before this so I am unable to give an example. Sorry... Q^Q
What is the x-coordinate of the point that divides the
directed line segment from J to K into a ratio of 2:5?
x = ( m n )(x2 – xu) + x4
O 4
O-2
O 2
O 4
The ratio of boys to girls in math class is 7:8. Which statement must be true about this math class?
(A) the boys make up 7/8 of the class.
(B) the girls make up 8/15 of the class.
(C) there are exactly 15 students in the class
(D) there is exactly one more girl in the class.
[ will mark as brainliest for the quickest answer!! ]
Answer:
c
Step-by-step explanation:
.. . . . . . . . . . . . . . . . . .
The correct statement about the math class is the the girls make up 8/15 of the class.
What are ratios?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Ratio of the number of girls in the class = number of girls in the class / sum of ratios
8 / (7 + 8 ) = 8 / 15
To learn more about ratios, please check: https://brainly.com/question/25927869
8n+?=0
plz solve i will mark brainliest
Answer:
negative 8
Step-by-step explanation:
It could be any multiple of eight, depending on the value of n.
If n = 8, then ? = 64
If n = 1, then ? = 8
and so on
Hope that helps!
What’s the answer??????
Answer:
-3x - 5
Step-by-step explanation:
Answer:
-3x - 5 is the answer.
Step-by-step explanation:
I legit used a calculater.
Y = 3x + 10 which order pair is x and y
Answer: (0,−10),(1,−7),(2,−4)
What is the opposite of 19?
Answer:
I would say -19, not 100% sure tho!
Which structure is found in some but not all plant cells?
vacuole
ribosome
cell wall
lysosome
A system of equations is shown below
N
6
y
12
What is the solution to the system of equations?
A infinite solutions
B. No Solution
C. (6,9)
OD. (9,6)
Answer:
No solution
Step-by-step explanation:
what is the range of the data set?
PLEASE HELP I'LL GIVE YOU BRAINLIST
Answer:
6
Step-by-step explanation:
All you have to do is subtract the smallest number from the biggest number. In this case, that would be 7-1 which is equal to 6. Therefore, the range of the data set is 6.
If this answer helps you, please mark this answer as brainliest
Answer: 15 hours
Step-by-step explanation: X = 1 hour add up all the x's there's 15 x's witch means 15 hours.
Write a verbal expression for 2(n + 9)
Answer:
Two times the sum of a number and nine.
Step-by-step explanation:
Answer:
two times the sum of n plus nine.
Step-by-step explanation: