Given:
Statement is "Half of a number minus seven is one and five-tenths."
To find:
The equation for the given statement.
Solution:
Let the unknown number be x.
Half of a number : [tex]\dfrac{x}{2}[/tex]
Half of a number minus seven : [tex]\dfrac{x}{2}-7[/tex]
One and five-tenths : [tex]1\dfrac{5}{10}=1.5[/tex]
Half of a number minus seven is one and five-tenths:
[tex]\dfrac{x}{2}-7=1.5[/tex]
The required equation for the given statement is [tex]\dfrac{x}{2}-7=1.5[/tex].
Therefore, the correct option is C.
Answer:
its c
Step-by-step explanation:
When solving a system of two linear equations
algebraically, how can you tell if the system has exactly one
solution?
Answer:
When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.
Step-by-step explanation:
Got this from google hope it helps
Answer pleaseeee??? Thanks
Answer:
FALSE
Step-by-step explanation:
DONE THIS
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of rectangle A. Select all of the measurement pairs that could be the dimensions of rectangle B
A. 4.5 inches by 1.5
B. 8 inches by 2 inches
C. 10 inches by 4 inches
D. 13.5 inches by 4.5 inches
E. 90 inches by 30 inches
Answer:
a, d, e
Step-by-step explanation:
A rectangular solid has width w, a length of 7 more than the width, and a height that is equivalent to 15 decreased by 3 times the width. Express the volume in terms of the width. Then find the maximum volume
Answer:
For a rectangular solid with:
width = w
length = l
height = h
The volume is equal to:
V = w*l*h
in this case we know that:
width = w.
"length of 7 more than the width"
l = w + 7.
"a height that is equivalent to 15 decreased by 3 times the width."
h = 15 - 3*w
Then the volume will be:
V = w*l*h = w*(w + 7)*(15 - 3w) = (w^2 + 7*w)*(15 - 3*w)
V = ( -3*w^3 + 15*w^2 + 105*w - 21*w^2)
V = (-3*w^3 - 6*w^2 + 105*w)
Now, the maximum volume will be for the value of w such that:
V'(w) = 0.
and:
V''(W) < 0
Where:
dV/dw = V'(w).
dV'/dw = V''(w)
Then first we need to differentiate the equation for the volume.
V'(w) = dV/dw = ( 3*(-3*w^2) + 2*(-6*w) + 105)
V'(w) = -9*w^2 - 12*w + 105.
Then we need to find the solution for:
-9*w^2 - 12*w + 105 = 0.
We can use the Bhaskara formula, and we will get:
[tex]w = \frac{+12 +-\sqrt{(-12)^2 - 4*(-9)*105} }{2*-9} = \frac{+12 +- 62.6}{-18}[/tex]
Then the two solutions are:
w₁ = (+12 - 62.6)/(-18) = 2.81
w₂ = (+12 + 62.6)/(-18) = -15.5
But we can not have a negative width, so we can just discard the second solution.
Now let's check the second condition for the maximum, we must have:
V''(2.81) < 0.
V'' = dV'/dw = 2*(-9*w) - 12 = -18*w - 12
V''(2.81) = -18*2.81 - 12 = -62.58 < 0 .
Then the volume is maximized when w = 2.81, and the maximum volume will be:
V(2.81) = (-3*(2.81)^3 - 6*(2.81)^2 + 105*2.81) = 180.1
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Answer:
solving we get Solution set = {4,0}
Step-by-step explanation:
We are given system of equation:
[tex]9x + 4y = 36---eq(1)\\6x + 2.5y = 24---eq(2)[/tex]
Multiply eq(1) by 2 and eq(2) by -3
[tex]18x \ \ + 8y \ \ \ = 72\\-18x - 7.5y = -72\\---------\\0.5y=0\\y=0[/tex]
We get y=0,
Now finding x by putting value of y in eq(1)
[tex]9x + 4y = 36\\9x+4(o)=36\\9x=36\\x=\frac{36}{9}\\x=4[/tex]
So, solving we get Solution set = {4,0}
Mikael runs with a speed of 3 m/s for 45 seconds. How far does Mikael run? 15 m 30 m 90 m 135 m
Answer:
Step-Distance = (speed) x (time)
(3 m/sec) x (45 sec) = 135 meters by-step explanation:
Answer:
The correct answer is D.) 135 m
Step-by-step explanation:
I just did the instruction on edge 2021 and got it right
At cooking school, Jamie's recipes turn out disastrous 1 out of every 4 times. If Jamie makes 32 dishes, how many will be a disaster?
Answer:
8 disasters
Step-by-step explanation:
We can write a proportion to solve this
1 disaster x disaster
---------------- = ------------------
4 tries 32 tries
Using cross products
1*32 = 4x
32 = 4x
Divide by 4
32/4 = 4x/4
8 =x
Answer:
The answer is 8 dishes will be a disaster.
Step-by-step explanation:
5 cm
4 cm
6 cm
3D rectangle
Answer:
120
Step-by-step explanation:
I'm assuming your looking for the area (if not pls tell me and I will make corrections)
So to get the area of a 3D shape you multiply the length, width, and height
5×4×6=120
The histogram shows the heights in meters of trees in a certain section of a park. How many trees are less than 20 meters tall? A. 16, B. 9, C. 4, or D. 15
Answer:
The histogram shows the heights in meters of trees in a certain section of a park.
How many trees are less than 20 meters tall?
Answer: From the given histogram, we clearly see:
There is 1 tree with height less than 8 meters
There are 1 + 2 = 3 trees with height less than 12 meters
There are 3 + 2 = 5 trees with height less than 16 meters
There are 5 + 4 =9 trees with height less than 20 meters.
Therefore, the correct option is B. 9
Step-by-step explanation:
Consider the isosceles triangle. left side (2x+8)units bottom of triangle (4x-10)units right side of triangle (2x+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units
Complete Question
Consider the isosceles triangle. left side (2z+8)units, bottom of triangle (4z-10)units, right side of triangle (2z+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units
Answer:
d. (8z + 6) units
Step-by-step explanation:
The formula for the Perimeter of a Triangle is :Side A + Side B + Side C
Hence,
(2z + 8)units + (4z - 10) units + (2z + 8)units
= (2z + 8 + 4z - 10 + 2z + 8)units
Collect like terms
= 2z + 4z + 2z + 8 - 10 + 8
= 8z + 6 units
The expression that represents the perimeter of the triangle is (8z +6) units
write the negative integers you see on the number line above
what is the area of the trapezoid shown?
Answer:
74
Step-by-step explanation:
What percent is 350 from 125
Answer:
35.71
Step-by-step explanation:
A bike wheel has a radius of 13 inches. 2a. i) About how far does the bike wheel travel in 1 rotation?
Answer:
it travels 13 inches in one rotation
What are the steps to graphing y=-3x+1
Answer:
The equation is in the form of y = mx + b which make it really easy to graph.
m = the slope
b = the y-intercept
You can make the first point at the y-intercept.
Where x = 0 and y = 1, or plot the point ( 0, 1 ).
Next we use the slope to start plotting new points.
The slope is -3 which, in rise over run form, is [tex]\frac{-3}{1}[/tex]. Since -3 is negative we go down 3 units from the y-intercept and 1 to the right because it's positive. This makes a point at ( 1, -2 ). Then from that point go down 3 and 1 to the right again to get ( 2, -5 ).
We can continue using the slope to plot more points and then draw a continuous line through them to finish graphing the linear function.
Which equation represents the line that passes through the points (-3, 7) and (3, 3)?
Answer: y = 2/3 (x + 3) +7
Step-by-step explanation:
1. Find the slope
Slope is found by the change in y over the change of x.
(7-3)/(3--3)
2. Evaluate
4/6
3. Simplify
2/3
4. Find a point to use in the equation, so you can write the equation in point, slope form. For this problem, I have chosen the provided point, (-3, 7)
Point slope form: y = m(x - x1) + y1
5. Plug the point into the equation
y = 2/3 (x + 3) +7
PLZ HELP, ILL GIVE BRAINLIEST
Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25
Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
Step 4: x = twenty-three over seven
Step 1: He should have added 25 to each side.
Step 1: He should have divided both sides by −7.
Step 3: He should have divided both sides by −7.
Step 3: He should have multiplied both sides by −7.
Answer:
Step 3: He should have divided both sides by -7.
Step-by-step explanation:
He divided by 7 not -7.
Hope this helps. Pls give brainliest.
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars.
p = 1.50n - 500
How many candy bars must be sold to make a profit of $700?
A.
134
B.
300
C.
800
D.
967
Answer:
800
Step-by-step explanation:
Answer:
C. 800
Step-by-step explanation:
p = 1.50n - 500
700 = 1.50n - 500
1200 = 1.50n
n = 800
What is the correct answer for this?
100 tiles were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway?
Answer:475 inches
Step-by-step explanation:
476 is the answer because:
100 * 4.75 = 475
*Therefore, the answer is 475 inches.
Hopefully this helps:)
can someone please answer this question fast ?
the question is in the picture down
Answer:
Yes, Always
Step-by-step explanation:
If M is the midpoint of line KL, then M, K, and L are collinear.
As you notice in the diagram, to be collinear means part of the same line.
please mark brainliest
Answer:
Always
Step-by-step explanation:
I am not drawing a scech for you have a brain
will mark brainliest!!
Answer:
the answer is 5 i think
Step-by-step explanation:
dont come at me if i am wrong
Answer:
80 degrees I think
Step-by-step explanation:
Please give me the brainliest i only need two more to get expert
Is the answer A, B, C, or D???
Anna:
Because the principal amount deposited by Anna is compounded by 6% every year, the growth is exponential.
Answer: D. Brian and Kendra
the answer is below PLEASE HELP IM BEING TIMED I WILL MARK BRAINLIEST IF RIGHT
4=x+9
Need help thanks
Answer:
x = -5
Step-by-step explanation:
Original Equation:
4 = x + 9
Subtract 9 from both sides
-5 = x
So x = -5
Hope this helps :)
Please consider Brainliest :)
Answer:
-5
Step-by-step explanation:
instead of adding ur subtracting
9-4=-5
The quotient of c and 6
Answer:
"a quotient of a number and 6" refers to n6 or n÷6 .
Step-by-step explanation:
r. Let's let n be the "number". Therefore, "a quotient of a number and 6" refers to n6 or n÷6 .
The scores on two standardized tests are normally distributed. The first test had a mean of 58 and a standard deviation of 6. The second test had a mean of 78 and a standard deviation of 5. What score would you need on the second test to equal a score of 66 on the first test? Give answer to the nearest whole number.
Answer:
84.67
Step-by-step explanation:
Given that :
First test:
Mean (m) = 58
Standard deviation (s) = 6
A score of 66 on the first test :
Z score (standardized score) :
Z = (66 - 58) / 6
Zscore = 1.3333
Second test:
Mean (m) = 78
Standard deviation (s) = 5
Using the Zscore pertaining to 66 in the first test :
Z = (x - m) / s
1.3333 = (x - 78) / 5
1.3333 * 5 = x - 78
6.66667 = x - 78
x = 6.6667 + 78
x = 84.67
Martine spent LaTeX: \frac{2}{3}2 3 of her money on a book. She has $6.50 left. How much did she spend on the book?
Answer:
4.33
Step-by-step explanation:
Please help somebody
Answer:
120ft/sec
Step-by-step explanation:
What is the hypothesis in this conditional statement?
It is true that 7y - 5 = 9; thus, y = 2.
Answer:
yes
Step-by-step explanation:
heres why
Step 1: Add 5 to both sides.
7y−5+5=9+5
7y=14
then ima divide 14 by 7 which equals 2
14/7y =2
so its true