Answer:
Step-by-step explanation:
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. this is the equation that was used
x + y = 1550
y = 4x
These 10 blocks are separated into 2 groups. Which equation represents how to find the number of blocks in each group?
A. 10 ÷ 2 = 5
B. 10 ÷ 5 = 2
C. 5 ÷ 2 = 10
D. 2 ÷ 5 = 10
Answer:
A) would be the answer
Step-by-step explanation:
this is the answer because 2 groups with 10 blocked all together has to have 5 blocks each group, also 5+5=10
The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 3 sides. Find the length of all three sides if the perimeter is 6.5
Answer:
side 1: 1.6
side 2: 2.3
side 3: 2.6
Step-by-step explanation:
side 1: 2x - 3
side 2: x
side 3: 2/3(x + 2x - 3) = 2x-2
(2x - 3) + x + (2x - 2) = 6.5
5x - 5 = 6.5
5x = 11.5
x = 2.3
side 1: 1.6
side 2: 2.3
side 3: 2.6
In ΔXYZ, x = 460 inches, y = 340 inches and ∠Z=47°. Find the area of ΔXYZ, to the nearest square inch.
Answer:
35.8
Step-by-step explanation:
Answer:
35.8
Step-by-step explanation:
Done the test
PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?
Answer:
k = 7/4Step-by-step explanation:
Given system:
x + y + 3z = 10, -4x + 3y + 5z = 7, kx + z = 3Substitute z in the first two equations with z = 3 - kx:
x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1-4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.
Solve the following equation for k:
3k - 1 = 1/3(5k + 4)9k - 3 = 5k + 44k = 7k = 7/4If f(x)=4x-1 , what is f(1) ??
Answer:
f(1) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 1
f(1) is x = 1
Step 2: Evaluate
Substitute in x [Function]: f(1) = 4(1) - 1Multiply: f(1) = 4 - 1Subtract: f(1) = 3Where does the adjacent interior angle go in a triangle?
Answer:
Any two interior angles that share a common side are called the "adjacent interior angles" of the polygon, or just "adjacent angles". Here the word adjacent is used in its ordinary English meaning of "next to each other".
Step-by-step explanation:
Which expression represents the perimeter of the
trapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8
Divide simplify your answer,12/1/4 divide 1/8
Answer:
24
Step-by-step explanation:
help pls what is the area of this shape?
Answer:
I think 15 I dont see it in the options but im going to explain my answer
Step-by-step explanation:
4 + 4 = 8, 13 - 8 = 5 x 6 = 30 divided by 2 is 15
SO 8 x 13 = 104 - 15 = 89 so therefore its 89!
A $329.50 gaming system goes on sale for 60% off. You have a coupon for an additional 40%
off the sale price. Does this mean you will get the gaming system for free? Why or why not?
Answer:
no
Step-by-step explanation:
no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08
i'm a little bit confused about this question.
Answer:
4
Step-by-step explanation:
Identify the slope and y intercept of the function y=4x-9
Factorise the following expressions :
Answer:
36x²+96xy+64y²
(6x)²+2×6x×8y+(8y)²
it is in formula of (x+y)²
:.(6x+8y)² or (6x+8y)(6x+8y)
What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2
Answer:
B) 81π units²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Radius of a Circle Formula: r = d/2
r is radiusd is diameterArea of a Circle Formula: A = πr²
Step-by-step explanation:
Step 1: Define
Diameter d = 18 units
Step 2: Manipulate Variables
Radius r = 18 units/2 = 9 units
Step 3: Find Area
Substitute in r [Area of a Circle Formula]: A = π(9 units)²[Area] Evaluate exponents: A = π(81 units²)[Area] Multiply: A = 81π units²how long does it take to drive 820 feet at 60 mph?
Answer:
Step-by-step explanation:
820/60=13.6
(rounded)
Answer:
9.32 seconds
Step-by-step explanation:
60 miles x 5280 feet per mile = 316,800 feet per hour
316,800 feet per hour/60 minutes per hour = 5280 feet per minute
5280 feet per minute/60 seconds per minute = 88 feet per second
820 feet/88 feet per second = 9.32 seconds
Which triangle makes this statement true?
it is not A, B, or C, i don't see D, but that would be the answer..
Answer:
D
Step-by-step explanation:
An arrow is shot up in the air from a height of 3 feet. The height of the arrow, in feet,can be modeled with the function h= -2t^2+12t+3where his the height in feet and is the time in seconds.Enter the average rate of change, in feet per second, from 1 second to 4 seconds
Answer:
The average rate of change is two feet per second.
Step-by-step explanation:
The height of an arrow shot up into the air from a height of three feet is given by the function:
[tex]h(t)=-2t^2+12t+3[/tex]
And we want to find its average rate of change from one second the four seconds.
The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.
After the first second, the height of the arrow is:
[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]
And after the fourth second, the height of the arrow is:
[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]
This yields two points: (1, 13) and (4, 19).
The slope between them is:
[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]
Therefore, the average rate of change from one second to four seconds is two feet per second.
Find the size of angle XYZ. Give your answer to 1 decimal place.
Answer:
45
Step-by-step explanation:
Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps
Step-by-step explanation:
1. Label each side of the Triangle
Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).
2. Cross out the 'useless' side
Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.
3. Decide which method is correct
We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.
4. Know the formula
Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.
Cos( ) = A/H
5. Substitute in your numbers
Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:
Cos(x)
Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.
Our formula will look like this:
Cos(x) = 7/12
6. Reverse it and calculate
Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:
cos-^1(7/12)
The result should say 54.31466529.
7. Round
Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,
our answer is 54.3 degrees.
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
Please help me anyone i need this in 10 minutes
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiply both sides by 100.
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Divide both sides by 50.
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
The amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
A company that sells umbrellas was
planning to
send a total of 1424 umbrellas in 4 equal shipments. How many umbrellas would be in 3 of the shipments
?
I was training the cross country team. Every week I expected the students to run 12 3/4 miles every week. If the kids ran
for 5 days that week, how many miles would they need to run each day to meet my expectations ?
Answer:
x = 2.55 miles per day
Step-by-step explanation:
In English: 5 days * 'x' miles per day = 12 & 3/4 miles total
In algebra: 5x = 12.75
x = 12.75 ÷ 5
x = 2.55 miles per day
Find the values of x and y.
A. x = 42, y = 26.3
B. x = 47, y = 30
C. x = 42, y = 30
D. x = 47, y = 26.3
Answer:
C
Step-by-step explanation:
2x + 1 = 85 (Alternate Interior Angles Theorem)
2x = 84
x = 42
(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)
3y + 5 + (85) = 180
3y + 5 = 95
3y = 90
y = 30
Answer:
x = 42, y = 30
Step-by-step explanation:
Alternate angles are equal so
85 = 2x + 1
2x = 84
x = 42°
Linear pair
(3y + 5) + (2x + 1) = 180
3y + 5 + 85 = 180
3y = 90
y = 30°
So I think the answer is x = 42° and y = 30°.
Hope it helps.
The sum of 2 and the product of 4 and m
PLSSS HELP 50 pointsss
Answer:
1 and 2
Step-by-step explanation:
sum of 2 is 1+1 and product of 4 is 2x2
Find x Question is attached:
PLease I need the answer fast!!!
Answer:
Step-by-step explanation:
(-3)ˣ⁻² = -243
(-3)ˣ⁻² = (-3)⁵
x-2 = 5
x = 7
Tania bought 9.6 gallons of gas for $27.36. Find an equation that can be used to determine x, the price of each gallon of
gas? What is the price of each gallon of gas? Show work.
Answer:
9.6(x)= 27.36 27.36÷9.6=x x=2.85
a car travel 4hrs covers a distance of 480km how many hours does it take to cover a distance of 840km at the same constant speed
Answer:
7 hours
Step-by-step explanation:
4 hrs = 480km
1 hr = 480 ÷ 4 = 120km
840 ÷ 120 = 7 hours
Find the area of each figure. Round to the nearest tenth if necessary
Arithmetic mean of nine observations is calculated as 38. But in doing so, mistakenlythe observation 27 is taken instead of 72. Find the actual mean of the data.
Answer:
Actual Mean = 43
Step-by-step explanation:
Given Mean = 38
No of observations = 9
we know,
Mean = Sum / N
38 = Sum/ 9
Sum = 38 x 9 = 342
Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.
New sum = 342 - 27 = 315 again, 315 + 72 = 387
The no. of observations stays the same.
Actual mean = New Sum / N
= 387/9
=43
Step-by-step explanation:
arithmetic mean =38
n=9
mean=sum/n
sum=mean×n=38×9=342
mistakenly observation 27 is taken instead of 72
new sum becomes =342+72-27=387
now
new mean =new sum/n=387/9=43
the actual mean of the data is 43.
Todd had 6 gallons of gasoline in his motorbike. After driving 150 miles, he had 3 gallons left. Compute the slope, or rate of change in the amount of gasoline.
The rate of change is __ miles per gallon.
Answer:
50 miles per gallon, 50/1
Step-by-step explanation: