Answer:
wym
Step-by-step explanation:
whats the question
is -45 less than,greater than or equal to -50?
greater than.
mistype
Answer:
It is greater than -50
Step-by-step explanation
Since that -45 is more closer to 0, It will greater than -50.
Suppose that a rectangular picture is surrounded by a frame of uniform width of x
inches as depicted below. The dimensions of the picture are 8 inches (width) by
10 inches (length). Find a simplified expression that represents the area of the
picture and frame.
Type your simplified answer for the area of the picture and frame along with your
work in the box below. To receive any partial credit, you must include all your work.
Answer:
Ok so the area of the frame is 18*12 = 216cm^2
Let’s suppose the width of the frame is x
The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432
4x^2 + 60x + 216 = 432
4x^2 + 60x - 216 = 0
x^2 + 15x - 54 = 0
(x+18)(x-3) = 0
Therefore x = {-18,3}
Since width of the frame has to be positive, the width has to be 3cm Step-
i hope i helped!
point Q was rotated about the origin (0,0) by 180
Answer:B
Step-by-step explanation:
The coordinates of the image of the rotation of the point Q is:
Q' = (4, 2)
What is the image of the rotation?
We can see that the original coordinates of point Q are (-4, 0).
If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.
It only changes the sign of the x-component.
Then the image of the rotation is:
Q' = (4, 0)
If you want to learn more about rotations:
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What is mAngleMHJ? HELP pLEASE
35°
50°
72.5°
92.5°
Answer:
50°
Step-by-step explanation:
1) Opposite angles are the same. Therefore,
2x-20=x+15
2x-x=15+20
x=35
2) Put x back in the equation for angle mhj
2(35)-20=50
1. A daycare center charges a $100 sign up fee, plus $50 per week. Write an equation that represents the total cost, f(x), for x weeks.
f(x) = _____x + ______
a. Identify the rate of change and interpret its meaning in the context of the problem.
b. Identify the y-intercept and interpret its meaning in the context of the problem.
c. What does x represent? What does f(x) represent?
d. Find the cost for a baby to attend daycare for 12 weeks. Write your answer using function notation.
e. Calculate f(-3). Explain what this question is asking you to find in the context of the problem, then discuss the reasonanbleness of this question and its answer.
Answer:
f(x)=50x+100
a)rate of change is 50
b)y-intercept is 100
c)x represents the no. of weeks
f(x) represents the the total cost for x weeks.
d)f(12)=700
e)Cost and week cannot be negative
Step-by-step explanation:
Sign up fee at daycare = $100
Cost of 1 week = 50
Cost of x weeks = 50 x
So, Total cost = 100+50x
Thus f(x)=50x+100
a)
General equation : y=mx+c
m = slope = rate of change
On comparison
m = 50
So, rate of change is 50
50 is the cost of daycare per week
b)
y intercept : y intercept is a point where a line 's graph intersects (crosses) the Y-axis i.e. x=0
Substitute x = 0 in equation
f(x)=50(0)+100
f(0)=100
So, y-intercept is 100
$100 is a signup fee
c)
x represents the no. of weeks
f(x) represents the the total cost for x weeks.
d)
Substitute x = 12
So, Cost for a baby to attend daycare for 12 weeks:
f(12)=50(12)+100
f(12)=700
e)
f(-3)=50(-3)+100=-50
Here it is asking about negative 3 weeks which is not possible
Since no. of weeks cannot be negative
On solving we are getting the negative total cost
Cost and week cannot be negative
Janet's dog weighs 18.2 pounds. Charlie's dog weighs 7.4 pounds. About how much more does Janet's dog weigh than
Charlie's dog?
25 pounds
26 pounds
11 pounds
10 pounds
Answer:
11 Pounds
Step-by-step explanation:
Since it says "about how much" we can round 18.2 to 18 and 7.4 to 7 then we subtract 18-7=11
That means the answer would be 11 pounds.
Hope that helps and have a great day!
2. What is the difference?
Complete the subtraction sentence.
5-5=
Answer:
0
Step-by-step explanation:
4.11. According to a survey conducted by Netpop Research, 65% of new-car buyers use online search engines as part of their car-buying experience. Another study reported that 11% of new-car buyers skip the test drive. Suppose 7% of new-car buyers use online search engines as part of their car-buying experience and skip the test drive. If a new-car buyer is randomly selected a. What is the probability that the buyer used an online search engine as part of the car-buying experience or skipped the test drive
Answer:
Prob (Online search or Skip test drive) = 0.69
Step-by-step explanation:
Prob (Online search) = P(OS) = 65% = 0.65
Prob (Skip test drive) = P (STD) 11% = 0.11
Prob (Online search & Skip test drive) = P (OS ⋂ STD) = 7% = 0.07
Prob (Online search or Skip test drive) = P (OS U STD) :-
P(OS) + P (STD) - P (OS ⋂ STD)
= 0.65 + 0.11 - 0.07
= 0.69
Rectangle A’B’C’D’ is the image of rectangle ABCD after which of the following rotations?
Answer:
You're right!
Step-by-step explanation:
Answer:
Were you right?
Step-by-step explanation:
Plot point F so that △ABC ≅ △FGH. Identify a sequence of rigid motions that maps △ABC onto △FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answer:
Step-by-step explanation:
Point F is plotted at (5, 4)
Translate ΔABC so that point B maps to point G.
B(1, -1) → G(0, 3)
Rule for the translation,
(x, y) → [x - 1, y + 4]
By this rule,
Point C will map the point,
C(-1, -2) → C'[(-1 - 1), (-2 + 4)]
→ C'(-2, 2)
A(-4, 0) → A'[(-4 - 1), (0 + 4)]
→ A'(-5, 4)
Now reflect these points across y-axis.
Rule for the reflection across y-axis,
(x, y) → (-x, y)
Points after reflection will be,
A'(-5, 4) → F(5, 4)
B'(0, 3) → G(0, 3)
C'(-2, 2) → H(2, 2)
Distance formula,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]
BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]
CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]
FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]
GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]
HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]
AB ≅ FG, BC ≅ GH, CA ≅ HF
By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH
I ran 3 1/4 miles in 30 minutes how fast was I going
5/6 subtract (1/8 divided by 3/4) in a fraction form
Answer: 5 [tex]\frac{4}{25}[/tex]
Step-by-step explanation:
First, you need to know the orders of opperation. You must solve in this order.
ORDERS OF OPPERATION:
1. Grouping Symbols: ( [ ] )
2. Exponents: [tex]3^{2}[/tex]
3. Multiplication/Division
4. Addition/Subtraction
Now that we know the orders of opperation, let's get started!
1. 3/4 ÷ 1/8 = 6
2. 5/6 - 6 = 5 16/100
3. Simplify.
4. 5 16/100 = 5 4/25
= 5 [tex]\frac{4}{25}[/tex]
Please forgive me if I am wrong. I sure hope this answer helped. :)
The solution of the given expression will be 2/3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 5/6 subtract (1/8 divided by 3/4). The expression can be solved mathematically as below,
E = 5/6 - [ 1/8 ÷ 3/4 ]
E = 5/6 - [ 4 / ( 8 x 3 ) ]
E = 5/6 - 1/6
E = 4/6
E = 2/3
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Last summer a sports club had 96 members this summer due to renovations it has 72 members what was the percent decrease?
Answer:
25%
Step-by-step explanation:
The answer would be 25% because to get your answer you have to
first subtract the original amount by the newest amount which in this case is
96-72=?
After you have subtracted this you will get you answer of 24
96-72=24
Ans than what you do is take the number of how many people left and put it on top of the original amount like this
24/96 so in other words dividing
Than you will get your answer of 25%
Evaluate the expression m/2 + m
m=14.
Answer:
plug in m
14/2 + 14
7 + 14
21
Step-by-step explanation:
Today I am 6 years less than half my fathers age. In 6 years, I will be 6 years more than 1/3 my father's age. How old was my father when I was born?
The answer fam is........ 30
A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $3000, how much will be invested in each type of investment?
Answer:
$8,500 in CDs; $11,500 in bonds
Step-by-step explanation:
Let c = amount invested in CDs.
Let b = amount invested in bonds.
"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."
From the total investment, we get this equation.
c + b = 20000
"If the amount invested in bonds is to exceed that in CDs by $3000"
From the details of the amounts, we get this equation.
b = c + 3000
We have a system of equations in two unknowns.
c + b = 20000 Eq. 1
b = c + 3000 Eq. 2
Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.
Substitute b in Eq. 1 with c + 3000.
c + c + 3000 = 20000
2c + 3000 = 20000
2c = 17000
c = 8500
Now substitute c = 8500 in Eq. 2 and solve for b.
b = c + 3000
b = 8500 + 3000
b = 11500
Answer: $8,500 in CDs; $11,500 in bonds
a ship is mapping a trip and wants to know the distance the ship will travel over certain time interals
The case of pears cost $21.95 but I purchased it for 10% off. What did I pay for the case of pears?
Answer:
you paid 19.75 dollars
Step-by-step explanation:
The foreman in the welding department wanted to know what value of allowance to use for a particular section of the shop. A work sampling study was authorized. Only two activity categories were considered: (1) welding and other productive work, (2) personal time, rest breaks, and delays. Over a four week period (40 hours/week), 125 observations were made at random times. Each observation captured the category of activity of each of eight welders in the shop section of interest. Results indicated that category 2 constituted 33% of the total observations. (a) Define the limits of a 96% confidence interval (SD
Answer:
The answer is "0.3605".
Step-by-step explanation:
Through 8 welds, every welder have 125 measurements, that overall amount of measurements.
N= 125(8) = 1000
The 96 percent level of trust
[tex]Z_{\frac{\alpha}{2}} =2.05\\\\\hat{\sigma}_{p} = \sqrt{\frac{0.33 (0.67)}{1000}}\\\\[/tex]
[tex]=\sqrt{ \frac{0.2211}{1000}}\\\\=\sqrt{0.0002211}\\\\=0.01487[/tex]
[tex]\hat{P_2} - Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 -2.05 (0.01487)\\\\[/tex]
[tex]= 0.33-0.0305\\\\=0.2995[/tex]
[tex]\hat{P_2} + Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 +2.05 (0.01487)[/tex]
[tex]= 0.33+0.0305\\\\=0.3605[/tex]
What are all the values of x for which (x−1)(x+2)<0?
(A) x<1
(B) x<−2
(C) −2≤x≤1
(D) −2 (E) x<0
Answer:
C -2<=x<=1
Step-by-step explanation:
x-1<0 ===> x<1
x+2<0 ===> x<-2
Sven buying 3 1/3 pounds of wood. The wood costs 1.60 per pound. How much did Sven pay?
Answer:
$5.33
Step-by-step explanation:
If there are 3 1/3 lbs of wood and it's $1.60 per lb, then:
Turn the mixed number into an improper fraction first:
3 1/3 = 3/3 + 3/3 + 3/3 + 1/3
= 10/3
Then, turn 1.60 into an improper fraction too:
1.6 = 1 6/10
= 1 3/5
= 5/5 + 3/5
= 8/5
Then—letting x represent the number of lbs:
8/5x = 8/5 × 10/3
= (8 × 10)/(5 × 3)
= 80/15
= 16/3
To put this in dollar/decimal form, simplify:
16 ÷ 3 = 5.3333333 . . .
≈ $5.33
Solve. x+y+z=−4 2x+3y−2z=10 −x+2y−3z=−12 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )
Answer:
(13, -10, -7)
Step-by-step explanation:
Given
x+y+z=−4 .................. 1
2x+3y−2z=10 .................... 2
−x+2y−3z=−12 ................... 3
Reduce the equation to two equations, two unknowns:
Add eqn 1 and 3
y+2y+(z-3z) = -4-12
3y - 2z = -16 .......... 4
Also multiply eqn 3 by 2:
−2x+4y−6z=−24 ................... 5
Add 2 to 5:
3y+4y+ (-2z-6z) = 10-24
7y-8z = -14 ............... 6
Equate 4 and 6
3y - 2z = -16 .......... 4 * 4
7y-8z = -14 ............... 6 * 1
...............................................
12y - 8z = -64
7y-8z = -14
Subtract the resulting equations
12y-7y = -64+14
5y = -50
y = -50/5
y = -10
Substitute y = -10 into equation 4 to get z:
3y - 2z = -16
3(-10)-2z = -16
-30-2z = -16
-2z = -16+30
-2z = 14
z = 14/-2
z = -7
Substitute y = -10, z = -7 into eqn 1 to get x:
x+y+z = -4
x-10-7 = -4
x-17 = -4
x = -4+17
x = 13
Hence (x, y, z) is (13, -10, -7)
Please help if possible!! Really need help
Answer:
it is a x= 40 degrees
Step-by-step explanation:
I want to decorate my room with leaves and turkeys for Thanksgiving. The number of leaves is twenty more than twice the number of turkeys. The number of leaves is ten less than 4 times the number of turkeys. How many of each type of decoration should I use?
Answer:
50 leaves, 15 turkeys
Step-by-step explanation:
set up an equation
l = leaves
t = turkeys
l = 2t+20
l = 4t-10
2t+20=4t-10
30=2t
15=t (so that means that there would be 15 turkey decorations, but we're not done yet)
substitute (either equation):
l = 2(15)+20
l = 30+20
l = 50 (so this means there would be 50 leaves)
hope this helps!
3) 4 pounds of meat cost $18. How much will 10 pounds of the same meat cost?
Answer:
$45
Step-by-step explanation:
4 lbs = $18
2 lbs = $9
10 lbs = $45
Answer:
If 4 pounds cost $18. you gotta find the cost of 1 pound
divide 18 by 4 = 4.5
and 4.5 times 10 is: 45
Step-by-step explanation:
$45 dollars for 10 pounds!
Hope this helps!
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34 full. He uses 16 of a full tank’s gas per day driving to and from work.
How many days can Drew drive to work with the gas he has in the tank?
Mitchell currently sells stoves for company A at a salary of $12,000 plus a $150 commission for each stove he sells. Company B offers him a position with a salary of $24,000 plus a $50 commission for each stove he sells. How many stoves would Mitchell need to sell for the options to be equal?
Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =
Answer:
denominator
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
2/3×2/2 + 1/6
4/6 + 1/6
5/6
find the slope of the graphed line
Answer:
C
Step-by-step explanation:
It is a negative slope because the y value decreases as the x value increases. It goes down 2 for every three that it goes across, so we can find, using rise over run, that the slope is -2/3
Help it’s for algebra 1