Problem: If Jo has 90 cards and June has 40, then Kayla takes 30 cards from everyone, how many do they have left?
The keyword "takes" or "take away" implies that we are subtracting. If I had 5 cookies, and you took 2 away, I now have 3. Or, 5 - 2 = 3.
Step 1: Subtract 30 cards from Jo and June
Jo = 90 cards
June = 40 cards
90 - 30 = 60 cards (Jo)
40 - 30 = 10 cards (June)
To find how many they have remaining together, you can add the number of cards that Jo has to the number of cards that June has.
Jo = 60 cards
June = 10 cards
In total = 60 + 10 = 70 cards
Hope this helps!! :)
Sarawong invests $4,537 in a retirement account with a fixed annual interest rate of 4.55% compounded quarterly. What will the account balance be after 17 years?
Answer:
$8,046.37
Step-by-step explanation:
4,537*0.0455= 206.4335
206.4335*17=3509.3695
4537+3509.3695=8046.3695
8046.3695 rounded = $8,046.37
does anyone know this?
Answer:
what site is this on?
Step-by-step explanation:
Answer:
159/20
Step-by-step explanation:
38. A football pitch measuring 120m by
80m is surrounded by a running track
measuring 15m wide all round. Find
area covered by the running track
Answer:
Area of the running track = 6900 m²
Step-by-step explanation:
Length of a football pitch = 120 m
Width of the football pitch = 80 m
Area of the football pitch (Inner rectangle) = Length × Width
= 120 × 80
= 9600 m²
If a running track (width = 15 m) is built around the football pitch,
Length of the outer rectangle = 120 + 2×(15)
= 120 + 30
= 150 m
Width of the outer rectangle = 80 + 2×(15)
= 110 m
Area of the outer rectangle = 150 × 110
= 16500 m²
Therefore, area of the track around the football pitch = Outer rectangle - Inner rectangle
= 16500 - 9600
= 6900 m²
Area of the running track = 6900 m²
Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.
Question 20 options:
A)
–13∕5
B)
13∕5
C)
5∕13
D)
–5∕13
Answer:
A
Step-by-step explanation:
We are given:
[tex]\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}[/tex]
Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):
[tex]o=\sqrt{13^2-12^2}=\sqrt{25}=5[/tex]
So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:
[tex]\displaystyle \csc(\theta)=\frac{13}{5}[/tex]
Since θ is in QIII, cosecant must be negative:
[tex]\displaystyle \csc(\theta)=-\frac{13}{5}[/tex]
Our answer is A.
Answer:
A
Step-by-step explanation:
I took the quiz!
factor the algebric expression 32a+36
Answer:
a = 1.125
is your compleate full answer
Answer:
the factorised form is 4(8a+9)
write the slope intercept form of the equation with the given slope and y-intercept.
1. Slope= -10, y- intercept = -5 2. Slope= - 9/5, y- intercept = -4
3.Slope= -5/4, y- intercept = 5 4. Slope= 7, y- intercept = 5
Answer:
1. y = -10x - 5
2. [tex]y = \frac{9}{5}x - 4[/tex]
3. [tex]y = -\frac{5}{4}x + 5[/tex]
4. y = 7x + 5
Step-by-step explanation:
use y = mx + b
m = slope
b = y-intercept
1. Slope= -10, y- intercept = -5
y = -10x - 5
2. Slope= - 9/5, y- intercept = -4
[tex]y = \frac{9}{5}x - 4[/tex]
3. Slope= -5/4, y- intercept = 5
[tex]y = -\frac{5}{4}x + 5[/tex]
4. Slope= 7, y- intercept = 5
y = 7x + 5
someone please help
Answer:
[tex]\displaystyle B \approx 36.87^\circ[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle θ = B
Adjacent Leg = 4
Hypotenuse = 5
Step 2: Solve for θ
Substitute in variables [cosine]: [tex]\displaystyle cosB^\circ = \frac{4}{5}[/tex][Equality Property] Trig inverse: [tex]\displaystyle B^\circ = cos^{-1}(\frac{4}{5})[/tex]Evaluate: [tex]\displaystyle B = 36.8699^\circ[/tex]Round: [tex]\displaystyle B \approx 36.87^\circ[/tex]what letter is used to represent scale factor ?
I'm Super Duper Sorry But Unfortunately I Don't Know The Answer I Need Points Because I Have A Timed Test And I Need Answers For My Questions Again I'm Super Sorry I Wish I Could Help But I'm Desperate. : (
How do you solve the following equation for x? *
A: Add 2 to both sides to solve for x
B:Subtract 2 from both sides to solve for x
C:Multiply both sides by 2 to solve for x
D:Divide both sides by 2 to solve for x
Answer:
D: Divide both sides by 2 to solve for x
Step-by-step explanation:
Solve the system of linear equations by substitution. 3x-4y=12 x=-2y+4
Answer:
x=4, y=0. (4, 0).
Step-by-step explanation:
3x-4y=12
x=-2y+4
-----------
3(-2y+4)-4y=12
-6y+12-4y=12
-10y=12-12
-10y=0
y=0/-10=0
x=-2(0)+4=0+4=4
Answer:
Step-by-step explanation:
if x=-2y+4
3x-4y=12 becomes
3(-2y+4)-4y=12
-6y+12-4y=12
-10y+12=12
-10y=0
y=0
since x=-2y+4
x=-2(0)+4
x=4
so the solution is the point (4,0)
7 + x/5 = - 4 x=___ help
Answer:
x = -55
Step-by-step explanation:
7 + x/5 = -4
Combine the constants.
x/5 = -11
Multiply both sides by 5 to simplify the denominator.
x = -55
Check.
7 + (-55)/5 = -4
7 + (-11) = -4
7 - 11 = -4
-4 = -4
Your answer is correct.
Hope this helps!
Answer:
[tex]7 + \frac{x}{5} = - 4 \\ \frac{x}{5} = - 4 - 7 \\ = - 11 \\ x = - 11 \times 5 \\ = - 55[/tex]
In this diagram, circle A had a radius = 11.3 and BC = 13.3. BC is a tangent line, calculate the distance of CD.
Answer:
24.6 is the distance of CDWhat is the equation of the line
Please help I have no clue how to do it
A rectangular cake pan is 13 inches by 9 inches by 2 inches. A round cake pan has a
diameter of 8 inches and a height of 2 inches. Which will hold more batter, one
rectangular pan or two round pans?
Answer:
The rectangular pan will hold more batter
Step-by-step explanation:
To find the volume of a rectangular prism, such as the first cake pan, you need to multiply all of the dimensions. The equation looks like this: "V = l * w * h" substituting the variables with the numbers would make it say "13 * 9 * 2" which would be 234 [tex]in^{3}[/tex]
To find the volume of a cylinder, the equation is "V=π[tex]r^{2}[/tex]h". The radius is half the diameter, so "r" would be 4, being half of 8. The substituted equation would read "π[tex]4^{2}[/tex]2", making the cylinder's volume roughly 100.53 [tex]in^{3}[/tex]
When you take those two numbers, you are able to see that 234 is bigger than 100.53, therefore making the rectangular pan larger.
A and b are two similar cylindrical containers surface area of container A : surface are of container b 4:25
*Complete Question:
A and B are two similar cylindrical containers.
Surface area of container A: surface area of container B = 4:25
Warda fills container A with oil.
She then pours all the oil into container B.
Warda repeats this and stops when container B is full of oil.
Work out the number of times that Warda fills container A with oil.
Answer/Step-by-step explanation:
We are given that the ratio of surface area of cylinder A to cylinder B = 4:25
To find out the number of times Warda fills cylinder A with oil, we need to find the ratio of the volume of cylinder A to cylinder B.
✔️First, find the linear measurement using the ratio of their surface area by taking their square root:
4:25 = √4/√25 = 2/5
Linear measurement of A to B = 2:5
The ratio of their volume = the cube of the ratio of their linear measurement
Thus, the ratio of the volume of A to B = 2³:5³ = 8:125
For Cylinder B to be filled, it would require 125/8 = 15.625 of cylinder A filled with oil. That means Warda would have to fill Cylinder A with oil for approximately 15 times, then an extra fraction of cylinder A to completely fill cylinder B with oil.
Samuel uses 1 3/5 meters of the pipe when building a bike stand. How many meters of pipe would Samuel need to build 10 bike stands?
11 3/5 meters
16 meters
3 3/5 meters
6 meters
Answer:
16 meters
Step-by-step explanation:
1 3/5 x 10=10 30/5=16
Can anyone help me please
I’ll mark as brainliest.
Answer:
800. is the answer
Step-by-step explanation:
ur welcome.
Write the equation of the line in slope-intercept form if m = 16 and y-intercept = (0,9) *
Answer:
y=16x+9
Step-by-step explanation:
y-y1=m(x-x1)
y-9=16(x-0)
y-9=16(x)
y-9=16x
y=16x+9
421 3/50 - 212 9/10=
The answer is 208 4/25 or if you need decimal form 208.16
answer is
[tex]208 \frac{4}{25} [/tex]
in decimal form.. it will be,
[tex]208.16[/tex]
how to write this problem -2x+4 in y intercept form
awnser please :((((((((((((((((((((
Answer:
I believe it is: 6n+8+7y+4m
Step-by-step explanation:
You can't do anything about the numbers with variables afterwards, so you just list those and you just add and subtract the numbers without variables. Since the top and bottom are the same, you just list it once. Sorry, not the best explanation. Please let me know if I am wrong. It's been a while since I had to any type of algebra.
Can someone help me with this question please
I’ll mark you as a brainliest.
Answer:
angle 2 = 133
angle 3 = 47
Step-by-step explanation:
angle 2 and angle 1 are supplementary, so they equal 180. 180- 47=133
angle 3 and angle 4 are supplementary, so they equal 180. 180- 133=47
A regular polygon is rotated 20 degrees about its center, carrying the polygon onto itself. How many sides does the polygon have?
1) 20
2) 8
3) 36
4) 10
Answer:
36
Step-by-step explanation:
Given that :
Rotation about polygon's center = 20°
To carry the polygon onto itself Angle of rotation is obtained by :
360° / n
Where n is the number of sides in the polygon :
360° / n = 20°
360° = 20 * n
360 = 20n
n = 360 / 20
n = 18
Hence, the polygon has 18 sides or a multiple of 18
Simplify the following.
Answer:
[tex]m^{4}n^{5}[/tex]
Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )
When dividing variables with exponents, you subtract the exponents that has the same variables, like this:
[tex]m^{16-12}n^{10-5}[/tex]
Simplifying this becomes:
[tex]m^{4}n^{5}[/tex]
Through (0,1) and with slope of 1.5 write an equation
Answer:
y=1.5x+1
Step-by-step explanation:
What is the determinant of the coefficient matrix of the system 0 28 130 131
Answer:
A) No, because the determinant of the coefficient matrix is 0
Step-by-step explanation:
I think tell me if it's right
Answer:
C - 130
Explanation:
Hope you have a great day!
i need help with both of these questions please
Answer:
[tex]\frac{22}{30} = \frac{11}{15}[/tex]
and
[tex]\frac{176}{7} = 25 \frac{1}{7}[/tex]
Step-by-step explanation:
First make all the fractions into improper fractions
[tex]1\frac{5}{6} = \frac{11}{6} \\\\2\frac{1}{2} = \frac{5}{2} \\\\3\frac{1}{7} = \frac{22}{7}[/tex]
After doing that put them back into the problems
Problem 1)
[tex]1\frac{5}{6}[/tex] ÷ [tex]2\frac{1}{2}[/tex] , plug in the improper fractions
[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{2}[/tex]
to divide, you need to flip the second fraction and multiply
[tex]\frac{11}{6}[/tex]· [tex]\frac{2}{5}[/tex] = [tex]\frac{22}{30}[/tex]
then reduce
[tex]\frac{22}{30} = \frac{11}{15}[/tex]
Problem 2)
[tex]3\frac{1}{7}[/tex]÷ [tex]\frac{1}{8}\\[/tex]
Plug in improper fraction
[tex]\frac{22}{7}[/tex] ÷ [tex]\frac{1}{8}\\[/tex]
Then flip second fraction and multiply
[tex]\frac{22}{7}[/tex] · [tex]\frac{8}{1}[/tex]
Multiply
[tex]\frac{176}{7}[/tex]
Reduce, or make it a mixed number
[tex]\frac{176}{7} = 25 \frac{1}{7}[/tex]
The school sells 240 cookies. ¼ of the cookies had chocolate chips, ½ of the remaining cookies had raisins, and the rest were peanut butter. How many cookies were peanut butter?
Answer:
90 peanut butter
Step-by-step explanation:
Total number of cookies [tex]=240[/tex]
Number of chocolate cookies [tex]=\frac{1}{4}(240)=60[/tex]
Therefore,
Number of remaining cookies [tex]=240-60=180[/tex]
Number of raisins [tex]=\frac{1}{2}(180)=90[/tex]
So,
Number of peanut butter [tex]=180-90=90[/tex]
Maria's Family brought a truck with a value of t dollars when it was first purchased. The value has since decreased by 24%
Answer:
t - (t x24%)
Step-by-step explanation:
Value of truck at the time of purchase was t dollars
value decreased by 24%
current value = t x 24%
t - (t x 24%).
current value = t -(t x 24%).
How much change should you get back if you give the clerk 5 dollars for a box of cereal that cost $2.85
Answer:
3.15
Step-by-step explanation:
If you take away 2.85 dollars away from 5 dollars you'd get 3.15 dollars
Answer:
$2.15
Step-by-step explanation:
5 - 2.85 is 2.15. So, the amount of change you should receive is $2.15.