Answer:
14 months
Step-by-step explanation:
Here we are interested in calculating the number of months it will take the food kitchen to exhaust the 283,482 soup cans donated to it by a school of it uses 20,000 cans of soup.
This is pretty straightforward, trust me!
What needs to be done here is to simply divide the total number of soup cans donated by the school by the number of soup cans used by the food kitchen each month.
Mathematically, that would be;
283,482/20,000
A calculator would work here? Right?
And the division equals 14.1741
And to the nearest whole number, that is 14.
And yes there would surely be some left, carried over to the 15th month, but would that sustain them for the month? No
Which exponential equation correctly rewrites this logarithmic equation?
Answer:c
Step-by-step explanation:
This is how it should be when you are representing an exponential equation to a logarithmic equation
[tex]y=a^{x}[/tex]→log y base a =x
therefore the answer is c
The exponential equation which rewrites the logarithmic equation is given by 6ˣ = 18
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
log₆ 18 = x
From the properties of logarithm , we get
log Aⁿ = n log A
On simplifying , we get
6ˣ = 18
where the value of x = 1.61314
Hence , the exponential equation is 6ˣ = 18
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The sum of two numbers is 21.
The second number is six times the first number. Work out the two numbers
Answer:
3 and 18
Step-by-step explanation:
let x be the first number
let 6x be the second number
x + 6x = 21
7x=21
x=21/7
x=3
second number =6x
second number 6x3= 21
given -6b+22>-8 what is the largest integer b can represent
Answer:
5
Step-by-step explanation:
-6b> -8-22
-6b> -30
b> -30/-6
b>5
Answer:
So we have this inequality:
[tex]-6b + 22 > -8[/tex]
We substract 22 on both sides:
[tex]-6b > -30[/tex]
Now, we divide both sides by -6 and we change the sign, as, when we multiplicate or divide by a negative number we always have to do it:
[tex]b < \frac{-30}{-6}[/tex]
[tex]b < 5[/tex]
So we know b < 5, so the biggest integer b can represent is 4. Note that the solution is any number which is smaller than 5.
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y= -2x - 5
y = 2x - 2
Choose 1 answer:
Answer:
C.
x = -3/4
y = -3 1/2
Step-by-step explanation:
We can graph the systems of inequalities to find our answer. Where the 2 graphs intersect will be our solution point.
To make a salad dressing, a chef uses a ratio of 2 ounces of oil to 6 ounces of vinegar. The chef needs 24 ounces of dressing. How much oil is needed? 2 ounces 4 ounces 6 ounces 8 ounces 12 ounces also 8 ounces isn't right and when you find the answer can you show me how you worked it out?
Answer:
6 ounces of oil
Step-by-step explanation:
Well the first salad dressing is probably 8 ounces because 2+6 = 8
Then we must find out how large this recipe compares to the original
24/8 = 3
So we need all the ingredients to be tripled to keep the same ratio of 2:6
The new dressing has 2*3 ounces of oil and 6*3 ounces of vinegar
which equals 6 ounces of oil and 18 ounces of vinegar.
Hope this helps!
(pls mark brainliest)
Which of the following numbers is rational?
OA) 7.885
OB) IT
OC) 0.144
OD 91
It cost Paisley $9.20 to send 92 text messages. How much would it cost to send 110 text messages?
Answer:
$11
Step-by-step explanation:
92=$9.20
100?
920/100x110/92
After this you will get 11 dollars.
That is the amount to send 110 text messages.
The cost to send 110 text messages is $11.
Given that, it cost Paisley $9.20 to send 92 text messages.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the cost to send 110 text messages be x.
Now, 9.20:92::x:110
⇒ 9.20×110=92×x
⇒ 92x=1012
⇒ x=1012/92
⇒ x=$11
Hence, the cost to send 110 text messages is $11.
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find the area of the figure
Answer:
[See Below]
Step-by-step explanation:
✦ In this figure there are two shapes; A triangle and a square. So you'll need to know the area formula for both:
✧ Square ∼ s² (Side Squared)
✧ Triangle ∼ ½ × b × h
✦ So now just solve for each area:
✧ Square ∼ 15² = 225
✧ Triangle ∼ ½ × 15 × 3 = 22.5
✦ Now add each area together to get the total area:
✧ 225 + 22.5 = 247.5
~Hope this helps Mate. If you need anything else feel free to message me.
Measure of arc JKM= ??
Answer:
180°
Step-by-step explanation:
JM is the diameter of the circle with center L.
[tex] \huge \red{ \boxed{\therefore m\widehat{(JKM)} = 180\degree}} \\ [/tex]
Angle F and angle G are complementary . The measure of angle F is three times the measure of angle G. What is the measure of each angle?
Answer:
[tex]g[/tex] = 22.5°
[tex]f[/tex] = 67.5°
Step-by-step explanation:
Let’s create a system of equations for [tex]f[/tex] and [tex]g[/tex].
Complementary angles are two angles that add up to 90°, so [tex]f+g=90[/tex]
Also, [tex]f[/tex] is thrice of g: [tex]f=3g[/tex]
We can now substitute [tex]3g[/tex] in [tex]f+g=90[/tex] for [tex]f[/tex].
[tex]3g + g = 90\\\\4g = 90\\\\g=22.5[/tex]
Now, we can find [tex]f[/tex] by substituting [tex]g[/tex] into either equation.
[tex]f + 22.5 = 90\\\\f = 90-22.5\\\\f = 67.5[/tex]
Hope this helped!
I need help solving it
Answer: OPTION 3. -7
Step-by-step explanation:
Given
-52=-4x-5(-2x+2)
Distributive property (REMEMBER you need to change signs)
-52=-4x-5×(-2x)-5×2
-52=-4x+10x-10
Combine like terms (-4x and 10x)
-52=6x-10
Add 10 on both sides
-52+10=6x-10+10
-42=6x
Divide 6 on both sides
-42/6=6/6x
x=-7
Hope this helps!! :)
Please let me know if you have any question
x = -7
[tex]-52=-4x-5(-2x+2)\\-52=-4x+10x-10\\-52=6x-10\\-42=6x\\-7=x[/tex]
to make sure, plug x in the equation:
[tex]-52=-4(-7)-5(-2(-7)+2)\\-52=28-5(14+2)\\-52=28-70-10\\-52=28-80\\-52=-52[/tex]
Solve the inequality below for x.
10r - 5 < 4r – 53
Answer:
r < −8
I hope this helps!
Simplify each expression:
a.) -72 = 8 + (-6) - 2
b.) -4 + (-32) = (-4.4)
Answer:
Step-by-step explanation:
a) -72 = 8 + -6 -2
-72 = 0
b) -4 + (-32) = (-4.4)
-36 = -4.4
Find the Inverse of
f(x) = 2x - 6
Of(x)= 2x + 3
O f(x)= 1/2x+3
Of(x) = x + 3
Of(x) = 2x - 3
Answer:
y = 1/2x + 3
O f(x)= 1/2x+3
Step-by-step explanation:
f(x) = 2x - 6
y = 2x - 6
x = 2y - 6
2y = x + 6
y = (x + 6)/2
y = 1/2x + 3
Use the work below to simplify the expression –5 + b + 2a2 – 3b + 4. 1. Identify like terms: –5 and 4 b and –3b 2. Combine like terms: –5 + 4 = –1 b – 3b = –2b 3. Simplify the expression: What is the expression in its simplest form?
Answer:
the answer will be 2a2 – 2b – 1 because he simplified the expression en He He simplified it and then substracted tb from the y interecept.hop e yall are doing great dsorry for that my laptop ins broken and my keyboardletters are fadded so i cant see well but the asnswer is correct.triust me.
Step-by-step explanation:
The expression in its simplified form is 2a² - 2b -1 .
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is -5 + b +2a²-3b + 4.
Simplify the expression as follows:
-5 + b +2a²-3b + 4
= 2a² - 2b -1
Hence, the expression in its simplified form is 2a² - 2b -1 .
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Evaluate 5w-w/x when w=6 and x=2
Answer:
27
Step-by-step explanation:
5×6-(6/2)
=30-3
=27
Answer:
[tex] 27[/tex]
Step-by-step explanation:
[tex]5w - \frac{w}{x} = \frac{5w}{1} - \frac{w}{x} = \frac{5(6)}{1} - \frac{6}{2} = 30 - 3 = 27[/tex]
or
[tex] \frac{5(6) }{1} - \frac{6}{2} = \frac{30}{1} - \frac{6}{2} = \frac{60 - 6}{2} = \frac{54}{2} [/tex]
Distribute: -3 (2x-4)
Answer:
24
Step-by-step explanation:
2x-4= -8×-3= 24
When you look at the P.E.M.D.A.S. method you have to do what's in the PERENTESSE first so that means 2x-4 is the first thing that I are solving and you get -8 now you have to multiply -8 by -3 then you get 24
You would like to have $200,000 in a college fund in 15 years. How much do you need today if you expect to earn 12% while you are investing to pay for your child's college?
Answer:
$36,529.26
Step-by-step explanation:
To find the answer, you need to use the formula to calculate the present value:
PV=FV/(1+i)^n, where:
PV= present value
FV= future value= $200,000
i= interest rate= 12%
n= number of periods of time= 15
Now, you have to replace the values in the formula:
PV=200,000/(1+0.12)^15
PV=200,000/(1.12)^15
PV=36,539.26
According to this, the answer is that you need $36,529.26 today.
round 5.1234 to the nearest thousandths
An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)
Answer: 4
Step-by-step explanation: I got this right on Edmentum.
Use graphing technology to find the range of the function f(x)=x2 +6x+9
Answer:
See below.
Step-by-step explanation:
Refer to the graph.
The range of a graph is the span of y-values it covers.
From the graph, we can see that the span of y-values is all values greater than or equal to 0.
Therefore, our range is, in interval notation:
[tex][0,\infty)[/tex]
Note that we use brackets with the 0 because 0 is included in our range.
In set notation, this is:
[tex]\{y|y\in\mathbb{R},y\geq 0\}[/tex]
How many times does 9 go into 4,590
Plz help
Answer:
510
Step-by-step explanation:
4,590/9=510
*PLEASE ANSWER ASAP* John is playing a game with two friends. Using the spinner pictured, one friend spun a three, and the other friend spun a five. John needs to spin a number higher than both friends in order to win the game, and he wants to calculate his probability of winning. How many desired outcomes should John use in his probability calculation?
Answer:
3
Step-by-step explanation:
Because Johns friends both got 3 and 5 so he needs a number higher to win i.e 6, 7, 8 so the answer is three.
Second Option is correct.
There will be 3 desired outcomes John should use in his probability calculation.
What is probability?Probability is the measure of the likelihood of occurrence of an event.
What is outcome?An outcome is a possible result of an experimental or trial.
Formula to calculate probability[tex]P(A) = \frac{number of favorable outcomes }{Total number of outcomes}[/tex]
where,
P(A) is the probability of an event.
According to the given question
we have
sample space = {1,2,3,4,5,6,7,8}
Total number of outcomes = 8
Jhon needs to spin a number higher than both friends in order to win the game
⇒ the numbers must be greater than 5
⇒ the numbers will be 6, 7, 8
therefore,
the total number of favorable outcomes =3.
Hence. there are 3 desired outcomes should John use in his probability calculation.
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Please answer this . It’s of class 8 Thank you
Answer:
= (3/5)-³
= (5/3)³
= (5/3) × (5/3) × (5/3)
= (125/27)
Hope it helps.
In science class, Clare and Lin estimate the mass of eight different objects that actually weigh 2,000 grams each.
Answer:
Lin was better than Clare
Step-by-step explanation:
GivenClare
mean: 2,000 grams MAD: 275 grams median: 2,000 grams IQR: 500 gramsLin
mean: 2,000 grams MAD: 225 grams median: 1,950 grams IQR: 350 gramsQuestionWhich student was better at estimating the mass of the objects?SolutionComparing data for both Clare and Lin, we can see that:
mean - is same 2000 grams for bothmedian - almost same, 2000 grams vs 1950 gramsMAD - 275 grams vs 225 gramsIQR - 500 grams vs 350 gramsConclusion
Lin was better at estimating than ClareReason
Both students had measures of center (mean and median) very close to 2000 gramsLin got less variable responses as both the MAD and IQR were lower than Clare gotPowers of 10 with positive exponents are:
less than 1
greater than 1
Answer:
greater than 1
Step-by-step explanation:
Answer:
greater than 1
Step-by-step explanation:
A jacket that normally sells for $45 is on sale with 20% off. What is the sale price? in dollars
Answer:
Step-by-step explanation:
The sales price would be $36.00
How I got this answer:
Discount: (45 x 20)/100 = $9.00 the nine dollars is your discount.
Final pricing:
45 - 9.00 = $36.00 when you subtract the cost with the discount you should get thirty-six dollars.
A box measuring 11 inches by 10 inches by 7 inches is filled with solid wooden cubical blocks, each measuring 3 inches per side. How many wooden blocks can fit into the box
Answer:
28
Step-by-step explanation:
[tex]number \: of \: wooden \: blocks \\ = \frac{volume \: of \: box}{volume \: of \: one \: wooden \: block} \\ = \frac{11 \times 10 \times 7}{3 \times 3 \times 3} \\ = \frac{770}{27} \\ = 28.51 \\ [/tex]
Thus, there would be 28 full wooden blocks in the box.
Answer: 28 wooden blocks
Step-by-step explanation: First you must find the volume of the box with the formula: L × W × H so, 10 × 11 × 7 = 770 inches³. Second you must find the volume of the wooden blocks with the formula: x³ ( 'x' is the value of the side of the cube ) so, 3 × 3 × 3 = 27 inches³. Now you can divide the volume of the box by the volume of the wooden block = 770 ÷ 27 = 28.518...*
* Always only count the whole numbers.
Which is the correct simplification of 3 ( C +2) + 11 ?
3C + 17
6C + 11
3C + 13
5C+11
Answer:
option a is correct
Step-by-step explanation:
step 1:
3 (C+2)+11
step 2:
3C+6+11
step 3:
3C+17
hope it helped you:)
nearest thousand of 9082 please answer fast
Answer: 9,000
Step-by-step explanation: