For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150. Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.
Incomplete question. The missing part read;
Ten granola bars and twelve bottles of water cost $23. Five granola bars and four bottles of water cost $10.
Options:
A. 1.4x + 0.75y > 150
B. 1.4x + 0.75y ≥ 150
C. 1.4x + 0.75 < 150
D. 1.4x + 0.75 ≤ 150
Answer:
B. 1.4x + 0.75y ≥ 150
Step-by-step explanation:
Remember, from the question we are told that the group wants the income from the fundraiser to be at least $150, meaning, they are not against having an income above $150 from the fundraiser, but a minimum of at least that amount.
Hence, among all the listed options, the correct inequality sign to represent the number of granola bars 'x' and the number of bottles of water 'y' that must be sold is the ≥ (equal to or greater than sign).
Which expressions are equivalent to
?
1/5x1/5x1/5x1/5
Choose 2 answers:
Answer:
we conclude that:
[tex]\left(5^{-2}\right)^2=5^2\cdot \:\:\:5^{-6}=\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}[/tex]
Hence, options A and D are true.
Step-by-step explanation:
Given the expression
[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}=\frac{1\cdot \:\:1\cdot \:\:1\cdot \:\:1}{5\cdot \:\:5\cdot \:\:5\cdot \:\:5}[/tex]
[tex]=\frac{1}{5\cdot \:5\cdot \:5\cdot \:5}[/tex]
[tex]=\frac{1}{5^4}[/tex]
[tex]=\frac{1}{625}[/tex]
Checking options B and C:
Option B
[tex]\left(5^{-4}\right)^0=1[/tex]
Option C
[tex]\frac{5^1}{5^4}=\frac{5}{625}=\frac{1}{125}[/tex]
Thus, options B and C are not equivalent!
Checking Option A
Option A
[tex]\left(5^{-2}\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(5^{-2}\right)^2=5^{-2\cdot \:2}[/tex]
[tex]=5^{-4}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{5^4}[/tex]
[tex]=\frac{1}{625}[/tex]
Now, checking option D
Option D
[tex]5^2\cdot \:5^{-6}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]5^2\cdot 5^{-6}=5^{2-6}[/tex]
[tex]=5^{-4}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{5^4}[/tex]
[tex]=\frac{1}{625}[/tex]
Therefore, we conclude that:
[tex]\left(5^{-2}\right)^2=5^2\cdot \:\:\:5^{-6}=\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}[/tex]
Hence, options A and D are true.
f(x)=x^2 g(x)=(x+3)^2+5 we can think of g as a translated (shifted) version of f. Complete the description of the transformation
Answer:
g(x) is shifted 3 to the left and 5 up
Step-by-step explanation:
I am very horrible at explaining these things, especially why it's 3 to the left and not to the right, but you'll have to trust me on that one.
As far as the 5 up part, you take the function (x+3)^2 and you always add 5, raising every output by 5.
What is the measure of ABC?
A. 126
B. 82
C. 44
D. 63
ABCD is a rhombus. Find AB. Enter your answer as a fraction in simplest form.
Answer: 110/3
Step-by-step explanation:
5x+15= 8x+2 = 13/3
5 * 13/3 + 15= 110/3
Work out the length AC.
Answer:
[tex]\sqrt{ 105}[/tex]
Step-by-step explanation:
→ Utilise Pythagoras theorem
[tex]\sqrt{11^{2} -4^{2} } =\sqrt{121-16} =\sqrt{105}[/tex]
Help please?????????????
Answer:
D.) 3x - 3
Step-by-step explanation:
X - 4 + 2x + 1
= X + 2x - 4 + 1
= 3x - 4 + 1
= 3x - 3
I hope this helps!
A 35 foot ladder is leaning against a building. The base of the ladder is 21 feet from the side of the building. How high does the ladder reach along the side of the building?
Answer:
28 feets
Step-by-step explanation:
Given that:
Height of ladder = 35
Distance between foot of ladder and wall base = 21 feets
The height of the ladder = h
Kindly refer to attachment for diagram illustration :
Using Pythagoras rule :
h² = 35² - 21²
h² = 1225 - 441
h² = 784
h =sqrt(784)
h = 28 feets
Height of ladder along the side of the building = 28 feets
Mr. Erwin is putting a new patio in his backyard the patio will measure 16 ft by 11 ft. He is planning to put a brick border around the patio. how many feet of brick will he have for the border
HELP ME PLEASE I NEED THIS LAST ONE PLEASE
I'm slow I need help :(
According to Newton’s third law of motion, when a hammer strikes and exerts force on a nail, the nail
Group of answer choices
creates a friction with the hammer.
disappears into the wood
exerts an equal and opposite force on the hammer
moves at a constant speed
Answer:
exerts an equal and opposite force on the hammer
Step-by-step explanation:
Answer:
third choice
Step-by-step explanation:
(i think im a little rusty on this lol)
Pls need help fast ._.
Answer:
65.75% change
Step-by-step explanation:
Equation for percent change
(|x2-x1| / x1) * 100%
48 million / 73 million * 100% = 65.75% decrease
the area of four walls of a room=2h(l+b).find the area of four walls in square.m
Pls help me with these three problems asap. Write a number under the radical (square root symbol) that makes the statement true and then explain why it makes your statement true.
Answer:
the picture is black, pls retake
Step-by-step explanation:
Which slope represents the greatest rate of change?
1) m = -8
2) m = 4
3) m = -10
4) m = 8
A group of friends wants to go to the amusement park. They have no more than $275
to spend on parking and admission. Parking is $5, and tickets cost $27 per person,
including tax. Write and solve an inequality which can be used to determine 2, the
number of people who can go to the amusement park.
Answer:
10 persons
Step-by-step explanation:
Step one:
given data
We are told that they have a total of $275
also, they want to spend $5 on packing space
and a ticket cost $27 per person.
Step two:
let the number of persons be x
and let the total amount to be spent be y
hence the inequality is
y≤ 5+ 27x
now for y= $275, let us find x
Substitute into the inequality we have
275≤5+27x
275-5≤27x
270≤27x
Divide both sides by 27
x ≤ 270/27
x ≤ 10
Hence the number of persons should not be more than 10
Answer:
Inequality: 25x+10_<275
Answer: x_<10.6
Step-by-step explanation:
I have delta math also. This is the exact ANSWER! So i am too lazy to explain it but actually that is correct. I tried to put a screenshot in here but it wont let me for some reason? BUT THIS IS THE ANSWER!
Your welcome (○｀ 3′○)
Name 2 decimals whose difference is 0.4
Answer:
0.1 and 0.5
Step-by-step explanation:
Answer:
.8-.4=.4 and .12-.8=.4
Step-by-step explanation:
ask me abt anything even though i might not have the answer
this isss mee btw
okay hmmm. whats your sexuality , Dont answer if you dont want!! me: bi
Answer:
why ................ btw thats my question
Which of the following is logically equivalent to “I wear a jacket if it is cold outside." ?
If I wear a jacket, then it is cold outside.
If I do not wear a jacket, then it is not cold outside.
I wear a jacket if and only if it is cold outside.
If it is not cold outside, then I do not wear a jacket.
The option from the following that is logically equivalent to the statement is that: If it is not cold outside, then I do not wear a jacket.
What is Logical equivalence?Two statements are regarded to be logically equivalent if, and only if, their resultant forms are logically equivalent during the time at which identical statement variables are utilized to illustrate their component statements.
Similarly; two statement forms are noted to be logically equivalent if, and only if, their resultant truth tables show an identical form per variation of statement variables.Therefore, we can conclude that the correct option that is logically equivalent to the statement being made is that: If it is not cold outside, then I do not wear a jacket.
Learn more about Logical equivalence here:
https://brainly.com/question/19629377
HELP! I need to know how much I got wrong! There are 23 questions on my test but the points are out of 5. When I finished the test, I got 3.26/5. How many wrong?
Answer:
8 wrong and 15 right if every question is the same points
Step-by-step explanation:
3.26/5 is 0.652
15/23 is 0.652 ish rounded
So I assume 8 wrong
help me pls ........................
Answer:
The answer is
[tex]y = 3x + 5[/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ↶
[tex]y = mx + b[/tex]
❃Since we already have the slope, we don't need to solve for that.
➊ First: We are going to find the y-intercept.
[tex]y = mx + b \\ 2 = 3( - 1) + b \\ 2 = - 3 + b \\ \frac{ + 3 = + 3 \: \: \: \: \: }{5 = b}[/tex]
➋Second: Plug in.
[tex]y = 3x + 5[/tex]
grade 8 unit rate pls add explanation
Franklin needs 2.75 cups of flour for every 1.5 cups of sugar in his cookie recipe. This will yield 3.5 dozen cookies. What is the unit rate for sugar per cookie? Round your answer to the tenths place.
Answer:
Is it .04
Step-by-step explanation:
(DO NOT WASTE MY POINTS!) What is 5x6-2+7-2+5=?
Answer: 38
Step-by-step explanation:
your answer is 38
Step-by-step explanation:
your welcome
Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it is 20 cm. What is the scale?
Answer:
I actual foot represents 0.01093 foot on paper
Step-by-step explanation:
Given that :
Actual side length of snack stand = 60 feets
Length of side on map = 20cm
Scaie :
60 feet = 20cm
1 foot = (20/60) cm
1 foot = 0.333 cm
1cm = 0.0328084 foot
0.333cm = (0.33 * 0.0328084) = 0.01093 feets
Scale :
I actual foot represents 0.01093 foot on paper
Which expressions are equivalent to x/3x times 8x/3x? Select all that apply?
a. 8x^2/9x^2
b. 8x^2/3x
c. 8x/3, for x not equal to 0
d. 8/9, for x not equal to 0
e. 9x^2/9x^2
f. 1, for x not equal to 0
Answer:
A, D
Step-by-step explanation:
x/3x times 8x/3x is equivalent to x(8x)/[(3x)(3x)] i.e. 8x^2/9x^2 or 8/9.
A is correct obviously.
B is not correct since the coefficients and degrees are different.
C is not correct since the coefficients and degrees are different.
D is correct.
E is obviously wrong by comparing the coefficients.
F is also wrong since 8/9 is not equal to 1.
So the correct answers are A and D.
The expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given the equation:
(x/3x) * (8x/3x)
Multiplying the numerator and denominator:
= (x * 8x)/(3x * 3x)
= 8x² / 9x²
Further simplifying the equation:
= 8/9
The expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²
Find out more on equation at: https://brainly.com/question/2972832
5x + 2y= -10 sketch the graph of each line
Given that,
The given equation is 5x + 2y= -10
To find,
Draw the graph for the above equation.
Solution,
We can first find the points of the above equation.
x 0 -2
y -5 0
Now plot the points in the graph.
The attached figure shows the graph for this equation. The points are (0,-5) and (-2,0).
I need help ASAP! Its due in a couple of hours! Pls help me ASAP!
Evaluate the following
a: |8| - 9 =
b: |8 - 9| =
Answer:
a: |8| - 9 = -1
b: |8 - 9| = 1
Step-by-step explanation:
The || marks indicate that whatever is inside of them will be converted to a positive number, if it is not already. However, this takes place AFTER any operations between the marks, such as a subtraction.
Please answer and I will mark brainliest.
Answer:
b1:4
the box by 13:9
the 2nd top box:4
box by bottom 8:4
Step-by-step explanation:
hope i helped
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPP ME I DO ANYTHING JUST HELP ME
SHOW YOUR WORK
-2.75÷ -5 1/4
Answer:
The answer is 11/12. Please give brainliest.
Step-by-step explanation:
-2.75 converts to -2 3/4
-2 3/4 divided by -5 1/4
-11/4 divided by -21/4
-44/-84
11/12
Answer:
-13,4375
Step-by-step explanation:
4. Joey had 26 papers on his desk. His teacher gave him some more and now he has 100. How
many papers did his teacher give him? Write and solve an equation to represent the situation.
Answer:
74 papers
Step-by-step explanation:
100-26
Answer:
126 papers he has
Step-by-step explanation:
On a sunny day, Larry notices that his shadow is 24 inches long. If it is 74 inches from the top of his head to the end of the shadow, how tall is Larry?
Answer:
70 inches
Step-by-step explanation:
Larry forms a right triangle with the ground (this is one leg of a right triangle) and he is 24 inches from his shadow (this is the second leg).
74 inches is the hypotenuse of the right triangle
use pythagorean theorem: a^2 + b^2 = c^2
let h = Larry's height
h^2 + 24^2 = 74^2
h^2 + 576 = 5476
h^2 = 4900
h = sq rt 4900
h = 70