Answer: Step-by-step explanation:
-z<-7
z>7
7.1
8
12
Solve the following problems. It may be helpful to set up an equation. The sum of two numbers is 13, the difference is 4. What are the numbers? pls help
Answer:
y = 4 1/2
x = 8 1/2
Step-by-step explanation:
x + y = 13
x - y = 4
substitution method: let x = 4+y
4+y + y = 13
2y = 9
y = 4 1/2
x = 8 1/2
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Please give your calculations too.
Answer:
1) number of boys in school is 48 [ Could be true ]
2) fraction of the boys in the school is = 6/6+7= 6/13 [False]
3) fraction of girls in school is 7/6+7=7/13 [Definitely true]
[tex]---------------[/tex]
hope it helps...
have a great day!!!
Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)
Answer:
Two additional solutions are:
(21, 1/3)
(17, 5/3)
Step-by-step explanation:
We have the equation:
x + 3*y = 22
Now we want to find two solutions (x, y).
To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.
Let's isolate x.
x = 22 - 3*y
Now we can change the value of y by a known value, and then solve the equation for x.
For example, if we define:
y = 1/3
then:
x = 22 - 3*(1/3)
x = 22 - 1 = 21
x = 21
Then the point (21, 1/3) is a solution of the equation.
Now let's input another value of y, for example, we can use y = 5/3
(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.
x = 22 - 3*(5/3)
x = 22 - 5
x = 17
Then the point (17, 5/3) is a solution of the equation.
Y=-2x find Oder pairs
I need answer for this question
Answer:
The answer should be D) 4x^ + x + 3
Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4
Type the appropriate values to complete the sine function.
Answer:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
Step-by-step explanation:
we want to figure out the equation of a sine function that has the following characteristics.
Amplitude: 7Period: 9π Phase shift: 1/4the standard form of sine function is given by
[tex] \displaystyle y = a\sin(bx-c)+d[/tex]
where:
a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shiftFinding a and phase shift:
a and c is simply given which is
a=7C=¼finding b:
using the equation we acquire:
[tex]\dfrac{2\pi}{b}=9\pi[/tex]
solving the equation for b,we obtain:
b=2/9
finding d:
Since d Isn't mentioned, we would assume it 0
finding the equation:
substitute what we got:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
and we're done!
If a team of minors drill a hole 50.4 m into a rock formation and drill at a steady rate of 2.8 m/min. how long does it take to drill the hole
Answer:
t = 18 minutes.
Step-by-step explanation:
We can find the time by using the following kinematic equation:
[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]
[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
Δy: is the difference between the initial and the final height = 50.4 m
t: is the time
a: is the acceleration
v₀: is the velocity of the drill = 2.8 m/min
Since the speed of perforation is constant, the acceleration is zero so:
[tex]\Delta y = v_{0}t[/tex]
Then, by solving the above equation for "t" we have:
[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]
Therefore, it takes 18 minutes to drill the hole.
I hope it helps you!
Your company is considering offering 500 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 100 managers, 200 factory workers, and 400 miscellaneous staff, find the following probabilities, leaving the answers as formulas.
a. All the managers will be offered the opportunity.
b. You will be offered the opportunity.
Answer:
a)
[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]
b)
[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]
Step-by-step explanation:
Given
The total number of opportunities to employees for transfer = 500
Company currently has 100 managers, 200 factory workers, and 400 miscellaneous staff
a) All the managers will be offered the opportunity
[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]
b) You will be offered the opportunity
[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]
Find a slope of a line which goes through the points (1, -4) and (7, -4).
Answer:
0
Step-by-step explanation:
-4 - (-4) = 0
divided by
1 - 7 = -6
-0/6 so 0
Select the equation of a straight line that is parallel to the line 4y = 3x + 5.
Answer:
B)
Step-by-step explanation:
4y = 3x + 5 has a slope of 3/4
4y = 3x - 1 has a slope of 3/4
parallel lines have equal slopes
The equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
To find an equation of a straight line that is parallel to the given line 4y = 3x + 5, we need to identify the equation that has the same slope as the given line
The given line is in the form 4y = 3x + 5. We can rewrite this equation in slope-intercept form (y = mx + b) by dividing both sides by 4:
y = (3/4)x + 5/4.
The slope of the given line is (3/4).
To find a parallel line, we need to choose an equation with the same slope of (3/4). Among the options provided:
A. y = 3x + 5 - The slope of this line is 3, not (3/4), so it is not parallel.
B. 4y = 3x - 1 - This line has a slope of (3/4), making it parallel to the given line.
C. 3y = 4x - 3 - The slope of this line is (4/3), not (3/4), so it is not parallel.
D. 4y = x + 5 - The slope of this line is (1/4), not (3/4), so it is not parallel.
Therefore, the equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
To know more about parallel click here :
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what is the midpoint of a segment with endpoints at (-4,-8) and (8,10)
Answer: Midpoint: (2, 1)
Step-by-step explanation:
Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)
(-4 + 8)/2 = 2
(-8 + 10)/2 = 1
Answer: (2, 1)
If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.
Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 132, find the numbers.
Let the larger number be x
The smaller number would be 1/5x
X - 1/5x = 132
Simplify:
4/5x = 132
Divide both sides by 4/5:
X = 165
1/5x = 1/5(165) = 33
The numbers are 165 and 32
If the equation below represents the total cost of 3 boxes of cereal and 2 loaves of bread is $15," then x represents
3x + 2y = 15 t
A the number of boxes of cereal
B the number of loaves of bread
Cthe cost of a box of cereal
Dthe cost of a loaf of bread
Answer:
C. The cost of a box of cereal
Step-by-step explanation:
In the question, we are given the number of 3 boxes of cereal, 2 loaves of bread, and that the total cost is $15. We can see these numbers in the equation, and putting it into context, we see that the 15 is on the right side of the equation, which indicates cash. Therefore, the 3 and 2 are accounted for, but their prices are unknown. X is a placeholder for the unidentified cost of a box of cereal, and we know that it's the boxes of cereal and not the loaves of bread because there are 3 and not 2.
Consider the following function y=5/3x+2
Answer:
y-2=5/3x
y-2/5=3x
Step-by-step explanation:
Ella has a number cube and a spinner. The faces of the
number cube are labeled 1 through 6, and the spinner
is divided into three equal sections with the colors red,
blue, and green. If Ella rolls the cube and spins the
spinner once, which list contains only outcomes in
which the spinner lands on blue and a number greater
than 4?
C. Blue, 4
A. Blue, 4
Blue, 5
Blue, 5
Blue, 6 D. Blue 5
Blue. 6
B. Blue. 5
Red. 5
Blue, 6
Red. 6
Green 5
Green. 6
Need H
Answer:
B
Step-by-step explanation:
It can only land on blue and numbers greater than four (not including four), therefore B is the only suitable answer.
What is one example of a rectangular prism with a volume of 64?
That's NOT 4x4x4 or 8x4x2!!!
Answer:
16 × 2 × 2
Step-by-step explanation:
64 = 2 × 2 × 2 × 2 × 2 × 2
=> 16 × 2 × 2
Which point is located at (2, 3)? On a coordinate plane, point A is 3 units to the right and 2 units up. Point B is 2 units to the right and 2 units up. Point C is 2 units to the right and 3 units up. Point D is 3 units to the right and 3 units up. A B C D
Answer:
Point C
Point A is located at (3, 2)
Point B is located at (2, 2)
Point C is located at (2, 3)
Point D is located at (3, 3)
⚠️ Urgent PLS HELP
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Find the value of x .
Answer: x=18
Step-by-step explanation: ...
Please explain step by step I dont get it.
Answer:
Step-by-step explanation:
What's the question?
This is a linear function that shows the longer the pipe the more it weighs.
(156 - 130) pounds / (24 - 20) inches = 26 ponds / 4 inches
or 4.5 pounds/inch
Ann races her bicycle for 58m. A wheel of her bicycle turns 29 times as the bicycle travels the distance. What is the diameter of the wheel
Answer:
0.637 m or 63.7 cm
Step-by-step explanation:
Formula
d = n * pi di
Givens
di = diameter and is unknown
n = 29 times
d = 58 meters
Solution
58 = 29 * 3.14 * di
2 = 3.14 * di
2/3.14 = di
d = 0.637 meters
or
d = 63.7 cm
interest rate 6% is:
There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored pencils are there?
Draw a picture and solve vertically.
Answer:
I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31
Step-by-step explanation:
If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31
So therefore 31 of the pencils are colored. Hope this helps!
If ∠A is a complementary angle of ∠B and ∠C is a complementary angle of ∠B, then which of the following statements is true?
Question 9 options:
A)
∠A + ∠C ≅ ∠B
B)
∠A ≅ ∠B
C)
∠A ≅ ∠C
D)
∠B ≅ ∠C
Answer:
A because its a complementary angle which has a angle which us added to 90 and a plus c =complementary
Answer:
Answer A is incorrect
Step-by-step explanation:
Just took the test
12. Find the Volume of the rectangular prism below. Write your final answer as a decimal by converting the fraction to decimal. Also write the units as cubic inches. * 13 in. 2 in. 3 in
Answer:
V = 9.75 cubic inches.
Step-by-step explanation:
Given the following data;
Length = 2 inches
Width = 3¼ inches
Height = 1½ inches
To find the volume of rectangular prism;
Volume of rectangular prism = length * width * height
V = 2 * 3¼ * 1½
V = 2 * 13/4 * 3/2
V = 2 * 39/8
V = 2 * 4.875
V = 9.75 cubic inches
3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!
Answer:
answer:
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
[tex] \frac{29}{8} - \frac{17}{8} [/tex]
[tex] \frac{29-17}{8} [/tex]
[tex] \frac{12}{8} [/tex]
[tex] \frac{3}{2} [/tex]
[tex] 1\frac{1}{2} [/tex]
is your answer.
help with this math assignment
A:Alternate interior angles
B:Corresponding angles
C:Consecutive interior angles
D:Vertical angles
relationship between v and x is C:Consecutive interior angles
In order to add the fractions 2/5 + 3/4, first, we need to find the least common denominator. The LCD for 4 & 5 is 20. Now that we know the LCD is 20, what are the new equivalent fractions?
Answer:
8/20 and 15/20 and then you add to get 23/20 AKA 1 3/20
Step-by-step explanation:
Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8
Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15
Your final fractions will be 8/20 and 15/20
Then add and reduce to get 1 3/20