Answer:
he makes $11.34 and hour and $113.40 in 10 hours
Step-by-step explanation:
you divide 453.6 by 40 to get the 1 hour part and then divide it by 4 to get the 10 hour part
The amount of money that he earns in one hour and in 10 hours will be $11.34 and $113.4, respectively.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Clifford works 40 hours per week while working as a laboratory technician. He earns $453.60 for each week of work.
The amount of money that he earns in each hour is given as,
Rate = $453.60 / 40
Rate = $11.34 per hour
The amount of money that he earns in 10 hours is given as,
⇒ $11.34 x 10
⇒ $113.4
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
At top speed, a fox can cover 7 miles in 12 minutes. If a fox could continue at this rate indefinitely, how long would take the fox to cross the 210 mile trail of the
Sonoran Desert?
Answer:
It would take 6 hours for the fox to cross the 210 mile trail of the Sonoran Desert.
Step-by-step explanation:
210 miles divided by 7 miles is 30 miles. 30 miles multiplied by 12 minutes is 360 minutes or 6 hours.
Answer:
6 hours
Step-by-step explanation:
Not sure if this is correct, sorry if it isnt but basically I did 210/7 and got 30, then 30 x 12 to figureout how long it would take, i got 360 minutes and 360 min = 6 hours
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:
hhhhhheeeeeelllllllllpppppp
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.
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).
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:
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
What is the measure of ABC?
A. 126
B. 82
C. 44
D. 63
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:
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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.
What is the verbal expression 21-18
Answer: twenty one decreased by eighteen or the difference of twenty one and eighteen
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
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
I'm slow I need help :(
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
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:
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).
At one table there is 4 people sharing 2/3 of a pizza what equal portion will each four people receive
Answer:
Each person would get 1/6 of the pizza.
Step-by-step explanation:
There is two 1/6’s in each third. Hope this helps :)
(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
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
Evaluate if x=4
3x+1
A)2
B)3
C)11/4
D)13/4
Step-by-step explanation:
Given
If x = 4 Then
3x + 1 = 3 * 4 +1 = 12 + 1 = 13
The answer should be 13.
Which table represents a nonlinear function?
Answer: A.
Step-by-step explanation: This is because a function cannot have two or more x values with the same f(x) value. If this happens, the function does not exist.
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
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.
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)
20 pts !!
Simplify the following expression. Classify the resulting polynomial.
4X(X+1)-(3x-8)(X+4)
A. Linear binomial
B. Quadratic trinomial
C. Quadratic binomial
D. Quadratic monomial
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:
I need help with this problem please?
Answer:
Step-by-step explanation:
If ΔABC ~ ΔPQR
[tex]\frac{PQ}{AB} =\frac{QR}{BC} = \frac{RP}{CA}[/tex]
or
[tex]\frac{AB}{PQ} =\frac{BC}{QR} =\frac{CA}{RP}[/tex]
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
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]