Answer:
Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75.
No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.
Step-by-step explanation:
Total treats to buy = 20
Total cost to spend = $30
Price of one candy pack = 1.75
We need to find:
a) What is the maximum number of packs that she will be able to buy?
Price of 1 candy pack = $1.75
If she spends $30, divide 30 by 1.75 to get the number of candy packs she can buy
Number of candy packs = [tex]\frac{30}{1.75} = 17.14 \approx 17[/tex]
So, Mrs Thornton can buy almost 17 candy packs if she has $30 to spend and one pack cost $1.75
b) Will that be enough for all of her students?
No, it will not be enough because total students are 20 and total candy packs that can be bought are 17.
Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?
Answer:
The usual representation of a proportional relationship is ...
y = kx
You want the constant of proportionality (k) to be 7/10, so this is ...
y = (7/10)x
Dividing by x gives the equivalent relationship ...
y/x = 7/10
Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and radius of this sphere.
Answer:
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and radius [tex]\dfrac{4 \sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given that: (x,y,z)
where;
d₁ is the distance from the origin = [tex]\sqrt{x^2+y^2+z^2}[/tex]
d₂ is the distance from (2,2,2) = [tex]\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}[/tex]
Also;
d₁ = 2d₂
[tex]\sqrt{x^2 + y^2 +z^2 } = 2 \sqrt{(x-2)^2 +(y-z)^2+(z-2)^2}[/tex]
By squaring both sides;
[tex]x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)[/tex]
[tex]x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2[/tex]
[tex]x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)[/tex]
[tex]x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y +16 + 4z^2 -16z+16[/tex]
Collect the like terms:
[tex]0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16[/tex]
[tex]0 = 3x^2 -16x +16 + 3y^2 -16y +16 +3z^2 -16z +16[/tex]
Divide both sides by 3
[tex]\dfrac{0}{3} = \dfrac{3x^2 -16x +16}{3} + \dfrac{3y^2 -16y +16 }{3} + \dfrac{ +3z^2 -16z +16}{3}[/tex]
[tex]0 = {x^2 - \dfrac{16x}{3} +\dfrac{16}{3} + {y^2 - \dfrac{16y}{3} +\dfrac{16}{3}+{z^2 - \dfrac{16z}{3} +\dfrac{16}{3}[/tex]
Using the completing the square method;
[tex]3(\dfrac{160}{9}) -16 = {x^2 - \dfrac{16x}{3} +\dfrac{160}{9} + {y^2 - \dfrac{16y}{3} +\dfrac{160}{9}+{z^2 - \dfrac{16z}{3} +\dfrac{160}{9}[/tex]
[tex]\dfrac{16}{3}= (x - \dfrac{8}{3})^2+ (y - \dfrac{8}{3})^2+ (z - \dfrac{8}{3})^2[/tex]
∴
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and ;
radius; [tex]\sqrt{\dfrac{16}{3}}[/tex]
[tex]= \dfrac{4 \sqrt{3}}{3}[/tex]
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
A circle has a Radius of 40 cm which of these is closest to Its Area
Answer:
251cm^2
Step-by-step explanation:
Answer:
251cm^2
Step-by-step explanation:
i got this answer right on my test
Which expression can be used to find 25 percent of 88?
Answer:
25 percent of 88 is 25/100* 88 = 22
Step-by-step explanation:
Two dogs ate 5 cans of dog food in 3 days. Based on this information, which proportion can be used to find c, the number of cans of food these dogs will eat in 1 week?
Answer:
(3÷5)7
Step-by-step explanation:
7th-grade math I WILL GIVE BRAINLIEST !
Why will the graph of every proportional relationship include the point (0, 0)?
Answer:
It includes it because with out it there will be no center and it wouldn't be right. And with out it ever equation wont be proportional
Step-by-step explanation:
I really hope this helps Im just saying what I think is the answer it is my fault if you get the answer wrong <3
Which statement about the figure is false?
Answer:
what are the options and the figures???
Step-by-step explanation:
−8(y+9)=−40 What does y equal
Order these expressions from least to greatest.
LEAST
= 15²
= 30²
= 13²
= 10³
= 7.6²
A diver begins at 140 feet below sea level. She descends at a steady rate of 7 feet per minute for 4.5 minutes. Then,
she ascends 112.2 feet. What is her current depth?
O-549.3 feet
-59.3 feet
59.3 feet
549.3 feet
Answer:
B
Step-by-step explanation:
-140 + (-7) × 4.5 = -171.5
-171.5 + 112.2
-59.3
Answer:
b
Step-by-step explanation:
what point will correspond to the rightmost point on the reflected figure?
Answer:
Point C because your reflecting and thats the midpoint and can i have brainiest
Step-by-step explanation:
Ms. Diaz feeds stray cats in the park every evening. She never knows how many cats will come to be fed. The food is always shared equally among the cats at the park. One evening, when 6 cups of cat food were shared, each cat received 2/3 of cup of cat food. How many cats were fed that evening?
A
4 cats
B
6 cats
C
9 cats
D
18 cats
Answer:
C. 9 cats
Step-by-step explanation:
I don't really know how to explain this
Answer:
C.) which is 9 cats
Step-by-step explanation:
Last year the total revenue for Clearline phone company was $13.7 million while the revenue for its competitor,the Speakmore was$10.8 million. What is the absolute difference and relative difference?
The absolute difference is estimated as $2.9 million and relative difference is calculated as 26%.
What is defined as the absolute change?The absolute change refers to the actual increase or decrease from the a reference value to a new value:
absolute difference = new value - reference value
In the given question, the reference value is given as $10.8 million.
The new value is $13.7 million.
absolute difference = 13.7 - 10.8
absolute difference = 2.9
Thus, the absolute value if estimated as $2.9 million.
What is defined as the relative difference?The absolute difference is described as a fraction of a reference value by the relative difference:
The formula for calculating the relative difference is;
relative difference = (new value - reference value)/reference value
relative difference = absolute difference/reference value
Substituting the values;
relative difference = 2.9/10.8
relative difference = 0.26
relative difference% = 0.26×100%
relative difference = 26%.
Thus the relative difference is estimated as 26%.
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On Monday, the coldest temperature outside was $2$ degrees Fahrenheit. On Tuesday, Ms. Perkins tells her students that the coldest temperature outside has an absolute value of $4$ degrees.
Rachel says that Tuesday’s coldest temperature could be greater than Monday’s coldest temperature.
Tom says that Tuesday’s coldest temperature could be less than Monday’s coldest temperature.
State whether each student’s statement is true or false, and justify your answers.
Respond in the space provided
Answer:
23
Step-by-step explanation:
Answer: Rachel is correct the coldest temperature could be greater than Mondays. Step-by-step explanation: Because 2 degrees Fahrenheit is less than 4 degrees which makes Rachel right.
someone help me on this question
it's two step inequalities
i forgot how to do this
Answer:
if I'm not wrong, its x>34
Step-by-step explanation:
multiply both sides by 3
3(x - 4)/3 > 10 x 3
x - 4 > 30 (simplify)
add 4 to both sides and x > 34
Find the missing angle x. Round to the nearest whole number.
7
15
.ro
Not drawn to scale
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 470 minutes, the monthly cost will be $200.5. If the customer uses 590 minutes, the monthly cost will be $242.5.
A) Find an equation in the form
y=mx+b
,
where
x
is the number of monthly minutes used and
y
is the total monthly of the NextFell plan.
The equation in the form y = mx + b is y = 0.35x + 36.
How to represent a linear equation?The equation formed from the expression is a linear equation and should be expressed in the slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore,
y = mx + b
where
x = the number of monthly minutes usedy = the total monthly of the Next fell planusing the coordinates, let's find m
(470, 200.5)(590, 242.5)
Hence,
m = 242.5 - 200.5 / 590 - 470
m = 42 / 120
m = 0.35
Therefore,
y = 0.35x + b
200.5 = 0.35(470) + b
200.5 - 164.5 = b
b = 36
Finally, the equation in the form y = mx + b is y = 0.35x + 36.
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Given: AB ≈ BC and E is the midpoint of AC.
Prove: BAD ZBCD
Answer:
the proving is probably transitive
Please help work needs to be shown please help yall
Answer:
Sorry to say but I don't see any material.
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 12%. If the price of the car before discount was $34,500, find the new price.
A. 4,140
B. 36,640
C. 12,000
D. 30,360
Answer:
D
Step-by-step explanation:
The new price of the used compact car is $30,360 if the used automobile dealership recently reduced the price of a used compact car by 12%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
A used automobile dealership recently reduced the price of a used compact car by 12%.
The price of the car before the discount = $34,500
The new price can be found using:
= 12% of $34,500
= (12/100)x34,500
= 0.12x34,500
The reduced amount = $4140
The new price = 34500 - 4140
The new price = $30,360
Thus, the new price of the used compact car is $30,360 if the used automobile dealership recently reduced the price of a used compact car by 12%.
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A grocer is stocking cans of beans on his shelf for a 7-day week and will
sell at least 4 cans of beans every day. The inequality, na 4d can be used
to determine n, the number of cans the grocer will sell during d days the
store is open. Which of these is not a reasonable number of cans of beans
to stock on the shelf for the week? *
Answer:
22Step-by-step explanation:
Given inequality:
n ≥ 4dAs the number of days is 7, the number of cans is:
n ≥ 4*7 = 28From the options, the last one is not reasonable:
22 because it is less than 28please help me out with this
Answer:
42 degrees
Step-by-step explanation:
The two identical lines in sides JK and KL means that the sides are equal. This means that the triangle is an isosceles triangle with the angles J and L being equal. This means that 54+x and 5x-6 are equal. We set this as 54+x = 5x-6. We simplify this to get x = 15. Angle J and L are equal to 69. The angles in a triangle add up to 180, so 69+69 = 138. 180-138 = 42, which is angle K
what's the square root of -45?
a) -9√5
b) 9i√5
c) -3√5
d) 3i√5
Answer:
c
Step-by-step explanation:
46 cubes are shaded out of 100. What is the ratio
Answer:
46/100 or 23/50
Step-by-step explanation:
3. Yeirilis spent $24.45 on a shirt. She paid with
$30. What is her change?
Answer:
30.00 - 24.45
her change is
$ 5.55
The length of a rectangle is 3ft longer than its width.
If the perimeter of the rectangle is 50ft, find its length and width.
Answer: the width is 6.25 ft
And the Length is 18.75 ft
Step-by-step explanation:
Length = 3w
Width = w
Perimeter = 3w + 3w + w + w
50 = 3w + 3w + w + w
50 = 8w
w = 6.25
Length = 3w
Length = 3(6.25)
Length = 18.75
Therefore the width is 6.25 ft
And the Length is 18.75 ft
which translation is demonstrated in the figure
Six more than 7 times a number equals 10 times the number minus 12.
Answer: 64
Step-by-step explanation:
Answer:
7x + 6 = 10x - 12
Step-by-step explanation:
x = the number
six more than is +6
7 times a number is 7x
10 times the number is 10x
and minus 7 is -7
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Which of the following statements is true for the function Thomas graphed?
A.It has a slope of 10
B.it has a y-intercept of 7
C.It has a negative association
D.It assigns exactly one output to each input
Answer:
D
Step-by-step explanation:
A linear function has exactly one output to each input.
The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.
Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
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