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:
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:
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
what is the area of the trapezoid shown?
Answer:
74
Step-by-step explanation:
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:
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
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
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
write the negative integers you see on the number line above
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.
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:)
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
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
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
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}
What is the correct answer for this?
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
Answer pleaseeee??? Thanks
Answer:
FALSE
Step-by-step explanation:
DONE THIS
Please help somebody
Answer:
120ft/sec
Step-by-step explanation:
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 percent is 350 from 125
Answer:
35.71
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
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:
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
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
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
the answer is below PLEASE HELP IM BEING TIMED I WILL MARK BRAINLIEST IF RIGHT
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
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:
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.
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 .