Answer and explanation:
We add both equations to get a simultaneous equation
y+4z=16
2y+5z=32
We solve the equations using elimination method:
Multiply equation 1 by 5 and equation 2 by 4 to cancel out z
5y+20z=80
8y+20z=160
-3y=-80
Y=26.7
Substitute y=26.7 in equation 1
26.7+4z=16
4z=16-26.7
z= -2.67
y+z=26.7+(-2.67)= 24.03
A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 15 minutes.
Answer:
79.5 feet
Step-by-step explanation:
5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.
i hope this helps :))
The integer that explained the depth of the hole after 15 minutes is 79.5 feet.
Given that,
The rate should be 5.3 feet per minute.The time in minutes should be 15 minutes.So, the integer that explained the depth of the hole after 15 minutes is
[tex]= Rate \times time \\\\= 5.3 \times 15\\= 79.5\ feet[/tex]
Therefore we can conclude that the integer that explained the depth of the hole after 15 minutes is 79.5 feet.
Learn more about the integer here: brainly.com/question/14232618
If m<4=63, what is m<1?
Answer:
m<11=5.75
Step-by-step explanation:
since you already know what m<4 is
we just have to divide the result (63) by 4
63%4=15.75
therefore m<1= 15.75
Find the value of x in the triangle.
Answer:
X = 65*
Step-by-step explanation:
Each triangle's angles equal 180*. So the equation you would type to find X is
180 - 65 - 50 = X
X = 65
¿Cómo influye el fenómeno de capilaridad en la vida de las plantas?
Answer:
Plants use capillary action to bring water up the roots and stems to the rest of the plant. Therefore, if the plant could not do this the plant would die.
Step-by-step explanation:
The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number?
x + (x + 9) = 47
x − (x + 9) = 47
x(x + 9) = 47
x(x − 9) = 47
Answer:
x + (x + 9) = 47
Step-by-step explanation:
This equation can be used to solve for the smaller number.
The measures of the three angles in a tri-
angle are in the ratio 1:2:3.
Answer:
30,60,90
Step-by-step explanation:
triangle are in the ratio 1:2:3.
So
Angles=X,2x,3x
X+2x+3x=180
6x=180
X=180/6
X=30
So angles are 30,60,90
solve for m: pr = k/m
Explain how a telescope with a few mirrors inside allows us to see things kilometers away
Answer:
Telescopes have several curved lenses inside that reflect on mirrors that gather light.
Step-by-step explanation:
You can find more information on NASA as well. They have very interesting explanations and photos there. :)
the ratio of basketball to baseball is 5:4 what do i put basketball or basketball
Answer:
i'm not that sure what you mean but here's what i think your aksing..
Step-by-step explanation:
5 is for basketball and 4 is for baseball
Answer:
hi my name is trey and i have a basketball game tomorrow, well i'm a point guard and i got shoe game.
What is the solution to this equation?
6x +4= 40 – 2
X=
Answer:
X=5 2/3
Step-by-step explanation:
If The volume of a pool is 2512 cubic feet and the height is 8 feet, what is the radius of a pool?
Answer: 314
Step-by-step explanation: This is true because 2512 by 8 you get 314
The radius of a pool is 10 feet.
It is required to find the radius of a pool.
What is the cylinder?Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. A cylinder has two bases and a curved surface. Total surface area = 2πr(r +h) square units. Curved surface area = 2πr h square units.
Given:
The given pool is in the shape of cylinder.
Volume of a pool = 2512 cubic feet
The height = 8 feet.
According to given question we have,
Volume of a pool=π[tex]r^{2} h[/tex]
2512 =π[tex]r^{2} *8[/tex]
Divide 8 on both sides we get,
[tex]r^{2}[/tex]=314/π
[tex]r=\sqrt{314/3.14} \\\\r=10 feet[/tex]
Therefore, the radius of a pool is 10 feet.
Learn more details about cylinder here:
https://brainly.com/question/16134180
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What is the value of 2(8-(-2))
-8(17-12)
04
Do you mean this 2(8-(-2))-8(17-12)4 - If that then the answer is -140
Which of the students found the correct value of their expression? Select all that are true. None of the students Student 2 Student 1 Student 3 I will give you TEN BIG POINTS PLZ HELP.
Answer:
Step-by-step explanation:
Student 2 and student 1
Penny makes 5 liters of applesauce. She saves 0.17 liter for dinner and puts the rest in jars. If each jar holds 0.69 liter, how many jars can she fill?
Answer:
8 jars
Step-by-step explanation:
Help me out hereeeeeeeeeeeeeee
The answer is 5 11/12.
You have to add 3 1/4 AND 2 2/3.
3 1/4 + 2 2/3 =
add the whole numbers FIRST.
2 + 3 = 5
Now add the fractions
1/4 + 2/3 = 11/12.
Now add both of the numbers
5 + 11/12 = 5 11/12
Given the function f(x) = -5x2 + 3x, express the value of f(a+h) – f(x) in simplest
form.
Step-by-step explanation:
it comes to
[tex] - 7x[/tex]
Find to 3 decimal places the value of t for the distribution for the following.
Area in the left tail 0.005 and n= 25.
Answer:
-2.797
Step-by-sep explanation:
The area in the left tail is the level of significance = [tex] \alpha = 0.005 [/tex]
n = 25
Since sample size, n, = 25,
Degree of freedom = n - 1 = 25 - 1 = 24
The value of t for the t distribution, that is the t critical value, would be:
[tex] -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} [/tex]
The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the [tex] t_{0.005} [/tex] column. This would give us -2.797
The t critical value of the left tail would be critical value is -2.797.
Who know this one and can help me out
Nicole made costumes for the annual school play. She used a total length of 1468.8 in of blue fabric. The fabric came in 3 rolls that each had the same length. How much fabric was in each roll? Write your answer in yards.
Find the measure of angle b.
Answer:
23 degrees
Step-by-step explanation:
157+b=180
How do you tell a girl you like them? (this question was for my brother im a girl and im not gay) Please whoever answers the best gets brainliest.
Answer:
All i have to say is be kind. Thats all.
Step-by-step explanation:
Solve 162X - 1 = 64
Answer:
x=0.4012
Step-by-step explanation:
162X - 1 = 64
162x = 64 +1
162x= 65
x=65/162
x=0.4012
Scompty Simplify the expression and x(x-3)+2(x=1)
Answer: 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Replace x with 1, because x = 1:
(1) [(1) - 3] + 2
[1 - 3] + 2
[-2] + 2
0
Given the function f(x)=4(2)2, Section A is from x=1 to x=2 and section B is from x=3 to x=4. Part A: find the average rate of change of each section. Part B: How many times greater is the average rate of change of section B than section A? Explain why one rate of change is greater than the other.
Answer:
I found thois from someone else asking this queetion so gope it helps.
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.
Answer:
A) 2
Step-by-step explanation:
(0,3) and (2,7)
Use slope formula
(7-3)/(2-0) = 4/2 = 2
Answer:
A) 2
Step-by-step explanation:
Ms. Twillie's class (25 students) and Ms. Grober's class (24 students) are off to the Field Museum for a field trip. Their expenses will be as follows: the program cost $10 per student; the bus costs $235.20; and the group will have lunch at a charge of $2.75 per student. If every student participates in the field trip, how much do each of students have to pay to go on the field trip?
Answer: Each student need to pay $ 17.55 to go on the field trip.
Step-by-step explanation:
As per given, Total students = 25+24 = 49
Program cost per student = $10
Bus cost = $235.20
Charge per student =$2.75
Total cost of trip = (Program cost+ Charge per student ) (Total students)+ Bus cost
Total cost of trip = $ [( 10 +2.75)(49) + 235.20]
= $[12.75(49)+235.20]
= $ [624.75+235.20]
= $ 859.95
Each student have to pay = (Total cost of trip ) ÷ (Total students)
= (859.95 ) ÷ 49
= $ 17.55 [approx.]
Hence, Each student need to pay $17.55 to go on the field trip.
What is 3/5 divided by 1/9 please I need to knoooooooooow
Answer: 5 2/5
Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Lastly, you should end up with an answer.
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. In how many hours will the order be complete with twice the number of working machines?
Answer:16
Step-by-step explanation:
Answer:
16 hours
Step-by-step explanation:
Find the slope between the points (0,4) and (1,5).
Answer:
M = 1
Step-by-step explanation:
Find the equation of a line the has a slope of 2/5 and goes through the point of 15,11