Answer:
(1 [tex]\frac{1}{3}[/tex], 2 [tex]\frac{1}{3}[/tex] )
Step-by-step explanation:
Given the 2 equations
7x - y = 7 → (1)
x + 2y = 6 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the y- term
14x - 2y = 14 → (3)
Add (2) and (3) term by term to eliminate y
15x = 20 ( divide both sides by 15 )
x = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex]
Substitute this value of x into either of the 2 equations and solve for y
Substituting in (2)
[tex]\frac{4}{3}[/tex] + 2y = 6
2y = 6 - [tex]\frac{4}{3}[/tex] = [tex]\frac{14}{3}[/tex] ( divide both sides by 2 )
y = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]
A pound of raisins cost two dollars in a pound of almonds cost $5.06 pounds of trail mix contains two more pounds of raisins and almonds what is the cost of 6 pounds of trail mix
Answer:
$18.12
Step-by-step explanation:
A pound of raisins=$2
A pound of Almonds=$5.06
x= no. Of pounds of raisins
y=no. Of pounds of almonds
If six pounds of a trail mix contains 2 more pounds of raisins than almonds
Then,
x+y=6
x= 4 pounds
y= 2 pounds
Cost of 6 trail mix=4($2)+2($5.06)
=$8+$10.12
=$18.12
Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs to make 180kg of concrete. He has 16kg of cement, 60.5kg of sand and 100kg of gravel. Which ingredient is Henry short of?
Answer:
Henry is short of gravel
Step-by-step explanation:
Here, we are to identify which of the ingredients Henry is short of.
To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.
The total ratio is 1 + 4 + 7 = 12
For cement, we have ;
1/12 * 180 = 15 kg
For sand, we have
4/12 * 180 = 60kg
For gravel, we have
7/12 * 180 = 105 kg
From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel
The square root of 83 can be platted on the number line below
Answer:
Step-by-step explanation:
Carli has 42 tacos to put in 7 boxes. Each box has the same number of tacos. How many tacos are in each box?
In the parabola y=(x+1)^2+2
Direction: Opens Up
Vertex: (1,2)
Focus: (1, 9/4)
Axis of Symmetry: x = 1
Directrix: y = 7/4
what is 40% of 80? Please.i need to know
Answer:
32 is 40% of 80.
Step-by-step explanation:
80×4÷10=320÷10=32
On Bianca's 5th birthday gift of $100 cash from her dad. Bianca's dad promises to double her money
yearly if Bianca plans to not spend money but instead deposit into "daddy's - super-saving - account".
Will Bianca be able to afford her dream car, a Mini Cooper worth $30,000 when she turns 16? Use words,
numbers, and tables to explain your answer.
Answer:
Bianca would be able to afford her dream car conveniently when she turns 16.
Step-by-step explanation:
Bianca was 5 years and wish to project her savings for the next 11 years.
On her 5th birthday, she saves $100
Her dad promises to double her money yearly with respect to a condition. So that;
On her 6th birthday, she would save $ 200
On her 7th birthday, she would save $400
On her 8th birthday, she would save $800
On her 9th birthday, she would save $1600
On her 10th birthday, she would save $ 3200
On her 11th birthday, she would save $ 6400
On her 12th birthday, she would save $12800
On her 13th birthday, she would save $25600
On her 14th birthday, she would save $51200
On her 15th birthday, she would save $102400
On her 16th birthday, she would save $204800
When she turns 16, she would have a total sum of $409500.
Therefore, Bianca would be able to afford her dream car conveniently when she turns 16.
If nine coins are flipped, what is the probability of obtaining at least one head?
Answer:
the chance of getting at least 1 head is 99.8%.
Step-by-step explanation:
Since the chance to head is a %.5 chance, then thats the variable. There is 9 of those , and then mulitply that then subtract from one.
Hey i had previously if -20.33 was rational or irrational , i didn’t get an answer could someone please let me know ?
Answer:
Yes
Step-by-step explanation:
-20.33 is rational. It has a terminating decimal.
Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.
-20.33 = [tex]-20\frac{33}{100}[/tex]
Rebecca earns $6.25 per hour working after school. She needs at least $125.00 if she wants to buy a new bicycle. Which inequality shows the solution to how many hours Rebecca must work to earn the money for the bicycle? Let h equal the number of hours Rebecca must work.
Answer: the answer is in the steps.
Step-by-step explanation:
6.25h ≤ 125.00
What is the value of x in the equation 8 + 4 = 2(x - 1)?
a. 7
b. 5
c. 11/2
d. 13/2
Answer:
A. 7
Step-by-step explanation:
We already know that 8+4 = 12, So now we have to find out how to make the equation equal 12.
2×6= 12, we have to find out what x will be in order to make the equation true.
2(7-1) = 2(6) = 12. Substitute the 7 for x.
x = 7
Claire bought a pair of jeans that regularly cost $50 on sale for $40. What was the percent decrease in price?
The answer is 20%
If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)
Answer:
-20% decrease
Step-by-step explanation:
40-50=-10
-10/50=-0.2
-0.2*100=-20%
Hope this helps.
Lexi runs a race at school. She runs at a rate of 4 miles per hour for the first mile, then increases her rate to 5 miles per hour until the last mile when she runs 6 miles per hour. Which equation below represents her time, T. In hours, If she runs a total of x miles
Answer:
60T = 12x - 1
Step-by-step explanation:
In speed distance and time, time(t) is given by
time = distance(d)/speed(s)
total distance ran = x miles
case 1
d = 1 mile
speed = 4 miles per hour
as time = distance(d)/speed(s)
t = 1/4
____________________________
case 2
speed = 5 miles per hour
it is given that out of x miles for first mile and last mile her speed was 5 miles per hour
thus distance for this speed can be calculated by
subtracting first and last mile from x miles
therefore
distance = x-2 miles\
t = (x-2)/5
_____________________________________
case 3
distance = 1 mile
speed = 6 miles per hour
t = 1/6
______________________________
Total time T as required will be sum of time for the 3 case calculated above
T = 1/4 + (x-2)/5 + 1/6
T = 1/4 + (x - 2)/5 + 1/6 (taking LCM of 6,5,4 as 60 and solving)
T = (15 + 12x - 24 + 10)/60
T = (12x - 1)/60
60T = 12x - 1
Thus, equation 60T = 12x - 1 represents her time T
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
Can i get some help pwease
Answer:
Hey!
Your answer is Y=-5x-6
Step-by-step explanation:
Using the formula y=mx+c...
m=slope c=y-intercept
The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)
The m is the slope do we write the slope value (-5)
Which forms y=-5x-6
HOPE THIS HELPS!!
Choose the expression that represents “the product of a number and five is two less than the number.”
Answer:
5x-2
Step-by-step explanation:
Answer:
y = 5x + 2
Step-by-step explanation:
“the product of a number and five is two less than the number.” numbers unknown so call them x and y, so you have to find the product of x and 5, which is simply 5x, then you know that 5x is two less than y, so you add 2 to balance the equation, which gives you 5x + 2 = y
edit: the question refers to 2 unknown numbers so 5x - 2 is not the answer as you need an equation not an expression
If 99 people have a mean incame of doolar 400, how much is the mean incame increased by the addition of a woman with an incame of doolar 1500
Answer:
Step-by-step explanation:
Mean income of 99 people = $ 400
Sum of income of 99 people = 400 * 99 = $ 39600
Income of a woman = $ 1500
Income of 100 people = 39600 + 1500 = $41100
Mean of 100 people = 41100/100 = $411
411 - 400 = $11
Mean income increases by $11
The work shows finding the sum of the algebraic expressions –3a + 2b and 5a + (–7b). –3a + 2b + 5a + (–7b) Step 1: –3a +5a+ 2b + (–7b) Step 2: (–3 + 5)a + [2 + (–7)]b Step 3: 2a + (–5b) Which is used in each step to simplify the sum? Step 1: Step 2: Step 3:
Answer:
Step 1: Commutative property
Step 2: Distributive property
Step 3: Add
Hope this helps you out!
Answer:
look at file for answer
Step-by-step explanation:
pls help me?????????
Step-by-step explanation:
Step 1: Simplify both fractions
[tex]\frac{8}{24}[/tex] → [tex]\frac{8(1)}{8(3)}[/tex] → [tex]\frac{1}{3}[/tex]
[tex]\frac{5}{15}[/tex] → [tex]\frac{5(1)}{5(3)}[/tex] → [tex]\frac{1}{3}[/tex]
Since both of the simplified fractions are equal, that means that they form a proportion.
Answer: Option A, YES
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 centimeters. He will make the "X" by stretching the red ribbon diagonally from corner to corner. How many centimeters of ribbon will Peter need to make the "X"?
Answer:
33.94 cms of ribbon
Step-by-step explanation:
Because you need two diagonals to form the x, therefore the amount of ribbon needed is the sum of the distance of both diagonals.
When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):
d ^ 2 = a ^ 2 + b ^ 2
a = b = 12
d ^ 2 = 12 ^ 2 + 12 ^ 2
d ^ 2 = 288
d = 288 ^ (1/2)
d = 16.97
16.97 cm is what it measures, a diagonal, therefore tape is needed:
16.97 * 2 = 33.94
A total of 33.94 cms of ribbon is needed
Answer:
Answer is 34
Step-by-step explanation: Took the quiz and got it right.
Use the graph to find the relationship between variable
Where is the picture at?
Evaluate. ( please please help me if I don’t pass this class I have to retake the year)
Answer:
1/2
Step-by-step explanation:
I think. So sorry if wrong
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.
Answer:
Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.Step-by-step explanation:
Cylinder A
Base Circumference=3 meters
[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]
Height=5 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]
Cylinder A
Base Circumference=5 meters
[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]
Height=3 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]
Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]
Cylinder B has a greater volume.
Which is equal
(please help asap!)
Answer:
B
Step-by-step explanation:
there
FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is (5 x 3 ) + 10
Answer:
25
Step-by-step explanation:
5 x3 is 15 and then add 10. im sure u know that but yea
What is the perimeter of a cross section perpendicular to face QRST of the cube show below
Answer:
Please provide an image of what you are talking about. That way we can help you more
Answer:
the answer is 8 units
of the cube shown
Sarah, Natasha and Richard share some sweets in the ratio 5:2:3. Sarah gets 75 sweets. How many more sweets does Richard get over Natasha?
Answer:
Richard gets 15 more sweets than Natasha.
Step-by-step explanation:
Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :
Let ratio be units,
[tex]5 units = 75 sweets[/tex]
[tex]1 unit = 75 \div 5[/tex]
[tex]1 unit = 15 sweets[/tex]
Now we have to find how many sweets does Natasha and Richard has :
Richard (ratio of 3),
[tex]3 units = 15 \times 3[/tex]
[tex]3 units = 45 sweets[/tex]
Natasha (ratio of 2),
[tex]2 units = 15 \times 2[/tex]
[tex]2 units = 30 sweets[/tex]
In order to find how many sweets Richard has more than Natasha, you have to substract :
[tex]45 - 30 = 15 sweets[/tex]
Answer:
15
Step-by-step explanation:
the answer is 15
Find the slope and y-intercept of the graph of the linear equation.
12. y= 4x
Answer:
Slope = 4, y-intercept = (0,0)
Step-by-step explanation:
This problem is written in slope-intercept form. Meaning it is in the form y=mx+b. "M" is the slope, and "B" is the y-intercept. With that information, we easily see that 4 is the slope of the graph (it will go up 4 points for everyone one point it goes right). It seems that there is no y-intercept though, that is because we are expected to know that y=4x is the same as y=4x+0. Meaning, the problem can also be written this way and the y-intercept must be 0.
PLEASE HELP
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function
(-7,0)
(0,-7)
(14.5,3)
(3,14.5)
Answer:
(3, 14.25)
Step-by-step explanation:
That’s where the graph intersects.
A circular logo has a 50° sector shaded orange and a 160° sector shaded blue. The radius of the logo is 6 inches. What us the total area shaded orange or blue?
Answer:
The total area of the logo shaded orange or blue is 66 inches^2
Step-by-step explanation:
To calculate the area shaded orange or blue, we use the formula that calculates the area of a sector since we know the angle subtended at the centre of the circle by way of the colors
Mathematically, the formula to use is ;
A = θ/360 * π * r^2
where θ represents the angle subtended at the center and r is the radius of the circle.
For the sector shaded orange, the area will be
A = 50/360 * 22/7 * 6^2 = 110/7 inches^2
For the sector shaded blue, the area will be
A = 160/360 * 22/7 * 6^2 = 352/7 inches^2
The total area shaded orange or blue is thus the addition of both areas which is mathematically equal to 352/7 + 110/7 = 462/7 = 66 inches^2
Answer:
The actual right answer is 65.94 in^2
