[tex]\text{Hello there!}\\\\\text{Solve for x:}\\\\3x-(5-2x)=x-21\\\\\text{Distribute the "-" to the numbers in the parenthesis}\\\\3x-5+2x=x-21\\\\5x-5=x-21\\\\\text{Subtract x to both sides}\\\\4x-5=-21\\\\\text{Add 5 to both sides}\\\\4x = -16\\\\\text{Divide both sides by 4}\\\\\large\boxed{x=-4}[/tex]
The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.
Answer:
B = 68° and C = 22°
Step-by-step explanation:
Let angle B's measure be B and angle C's measure be C.
Also note that complementary means that they sum to 90.
Now:
The m∠B is two more than three times the measure of ∠C:
we can write:
B = 3C + 2
If ∠B and ∠C are complementary angles:
B + C = 90
Putting 1st equation in 2nd, we get:
B + C = 90
3C + 2 + C = 90
4C = 90 - 2
4C = 88
C = 88/4 = 22
Now B = 3C + 2, so
B = 3(22) + 2 = 68
Hence, B = 68 degrees and C = 22 degrees
what is 9/25 as a percent
Answer:
36%
1) 1/25= 0.04
2) multiply 0.04 by 9 (0.36)
ASAP: What is: X + 6 = 4. I know its a negative but which number???
Answer:
x=-2
Step-by-step explanation:
x+6=4
x-6=-6+4
x=-2
Answer:
-2
Step-by-step explanation:
x = 6 - 4
x = -2
The letter J is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them.
Final answer:
The letter J is formed by the opposition movement of the thumb toward the fingers of the same hand.
Explanation:
The subject of this question is Biology, specifically the anatomy of the hand and the movement of the thumb.
The letter J is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them. This hand movement is an example of the opposition movement of the thumb toward the fingers of the same hand, which allows us to grasp and hold objects.
The thumb joint, which can move back and forth and up and down, but more freely than the wrist or fingers, plays a key role in the formation of the letter J.
Write 9.054 X 10-6 in standard form.
Answer:
0.000009054
Have a nice day!!! :-)
9.054 X 10-6 is represented by the conventional form 0.000009054.
Explain about the standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
A linear equation has the conventional form Ax+By=C. A slope-intercept form equation (y=mx+b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form.
Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.
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write an integer for the situation "An average temperature of 7 degrees below normal
The average temperature of 7 degrees below normal can be represented as the integer '-7'. This is because in mathematics, a 'below' situation often equates to a negative value.
Explanation:The situation describes 'an average temperature of 7 degrees below normal'. In the context of integers, 'below' generally refers to a negative value. Hence, we would represent this situation with the integer '-7'. This is because a below normal temperature is often regarded as a decrease or loss, which is conventionally represented in mathematics as a negative value.
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Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees. What is the measure of angle L in parallelogram LMNO? 20° 30° 40° 50°
Answer:
The measure of angle L is 40°
Step-by-step explanation:
we know that
In a parallelogram the opposite angles are congruent and the opposite sides are congruent and parallel
see the attached figure to better understand the problem
so
In this problem
∠L≅∠N
∠M≅∠O
we have
∠L=(3x-20)°
∠N=(2x)°
so
equate the angles and solve for x
[tex](3x-20)\°=(2x)\°[/tex]
[tex]3x-2x=20[/tex]
[tex]x=20[/tex]
Find the measure of angle L
[tex]L=(2x)\°[/tex]
substitute the value of x
[tex]L=(2(20))=40\°[/tex]
Answer: what the other guy said
Step-by-step explanation: yea
Renaldo catches the bus at 4:00 pm to ride 3.2 miles from his house to the dentists office. he arrives at 4:30 pm, for a one hour appointment. then he will ride a bus traveling at te same rate of speed for 4.8 miles to the soccer field. will he be on time for his 6:30 pm soccer practice?
Answer:
Step-by-step explanation:
speed = distance/time
so renaldo speed = 3.2/0.5 = 6.4miles/hr (since time taken is 1/2 hr)
now after 1 hr of his appoinment i.e at 5:30pm he took bus whose speed is same as before i.e 6.4 miles/hr
now time taken to cover this 4.8 miles = 4.8/6.4 = 3/4 hr (since time = distance /speed )
3/4 hr = 3/4 * 60 = 45 minutes
so he reached at 6:15pm . so he will be on time.
Select the correct answer.
When Emma saves each month for a goal, what is the value of the goal called?
A.
annuity value
B.
future value
C.
payment value
D.
present value
Answer:
future value
Step-by-step explanation:
The value of the goal is called future value. Then the correct option is B.
What is a future value?The worth of a present asset at a certain stage in the future, depending on an estimated growth, is called future value (FV).
The FV estimate allows investors to make a reasonable assumption about equity investment earnings.
When Emma saves each month for a goal.
Then the value of the goal is called future value.
Thus, the correct option is B.
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Emma buys 3 2/3 yards of blue fabric and some yellow fabric at a store. She buys a total of 5 1/3 yards of fabric. The equation 5 1/3=3 2/3+y. can be used to represent this situation, where y is the number of yards of yellow fabric she buys. How much yellow fabric does she buy?
Answer:
1 2/3 yards of yellow fabric.
Step-by-step explanation:
5 1/3 = 3 2/3+y
5 1/3 - 3 2/3 = y
16/3 - 11/3 = y
5/3 = y
y = 1 2/3 yards of yellow fabric.
Answer:
y= # yellow fabric yards
5 1/3= 3 2/3+ y
Convert to improper fractions
((5*3)+1)/3= ((3*3)+2)/3 + y
16/3=11/3+y
Subtract both sides by 11/3
5/3=y
or
1 2/3=# yellow fabric yards
hope this helps
brainly please
A circle with radius 9 has a sector with a central angle of 120°. What is the area of the sector. Provide step by step explanation please
The area of the sector is 84.78 square units
Area of a SectorFrom the question, we are to determie the area of the sector.
The area of a sector can be calculated by using the formula,
[tex]A= \frac{\theta}{360}\times \pi r^{2}[/tex]
Where A is the area of the sector
θ is the central angle
and r is the radius
From the give information,
θ = 120°
r = 9
and π = 3.14
Putting the parameters into the formula, we get
[tex]A = \frac{120 ^\circ}{360 ^\circ} \times 3.14 \times 9^{2}[/tex]
[tex]A = \frac{1}{3} \times 3.14 \times 81[/tex]
[tex]A = 3.14 \times 27[/tex]
A = 84.78 square units
Hence, the area of the sector is 84.78 square units
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a store is having a sale on shoes. the sale is buy one pair of shoes, get one 50% off. the original price of one pair is $26.48. Dante bought several pairs of shoes, and the total cost was $317. 76. how many pairs of shoes did dante buy?
Tomas and Kyle each bought a shirt at the school store. Tomas gave the cashier a $20 bill and received $6.15 in change. Kyle
gave the cashier a $10 bill and received $1.06 in change. Which statement about the cost of the shirts is true?
Tomas's shirt costs $5.09 more than Kyle's shirt.
Answer:
for tomas 19.100-6.15=$13.85dollars
so tomas's shirt cost $13.85
for kyle 9.100-1.06=$8.94
13.85-8.94=4.91
so tomas's shirt $4.91more than Kyle's shirt
Answer:
Tomas's shirt costs $4.91 more than Kyle's shirt.
Step-by-step explanation:
It is given that Tomas gave the cashier a $20 bill and received $6.15 in change. So, the cost of Tomas's shirt is the difference between the amount he gave and he received in change.
Cost of Tomas's shirt = $20 - $6.15 = $13.85
Kyle gave the cashier a $10 bill and received $1.06 in change. So,
Cost of Kyle's shirt = $10 - $1.06 = $8.94
The cost of Tomas's shirt is $13.85 and the cost of Kyle's shirt is $8.94.
Cost of Tomas's shirt is more that the cost of Kyle's shirt.
$13.85- $8.94=$4.91
Therefore, Tomas's shirt costs $4.91 more than Kyle's shirt.
How do I solve 80+(-22 4/15)
Final answer:
The expression 80 + (-22 4/15) is solved by converting the mixed number to an improper fraction, aligning the fractions by the same denominator, and then adding them to get 58 4/15 as the result.
Explanation:
To solve the expression 80 + (-22 4/15), follow these steps:
First, convert the mixed number -22 4/15 into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator: (-22 × 15) + 4 = -330 + 4 = -326, so the mixed number becomes -326/15.
Next, since 80 is a whole number, we can convert it into a fraction with the same denominator of 15 to make it easier to add to -326/15. To do that, multiply 80 by 15/15, which is the equivalent of 1, to get the fraction 1200/15.
Now, add the two fractions: 1200/15 + (-326/15) = (1200 - 326)/15 = 874/15.
This fraction can be simplified back into a mixed number by dividing the numerator by the denominator: 874 ÷ 15 = 58 with a remainder of 4, so the mixed number is 58 4/15.
Therefore, the solution to the expression 80 + (-22 4/15) is 58 4/15.
What is a situation that can be modeled by the expression 6 * 24 - 5
Answer:
Look to the explanation
Step-by-step explanation:
* Lets think how to write a short story represents this expression
* Remember multiplication must solved before subtraction, so we
can think that:
- 6 multiply by 24 can represented by six bags each one has 24 items
- Subtract f can be represented by someone takes 5
- We can chose bags or boxes for 6
- We can chose sweets or marbles to 24
- We can say sister or brother or friend takes 5
- Lets try to make a short story to represent this situation
* Nadine has six boxes of marbles. Each bag has twenty four
marbles with different colors, she wants to give her sister
Sarah 5 marbles. Write an expression to model this situation
* The expression is 6 * 24 - 5
Answer:
Joy went to 6 shops and bought 24 candies from each shop. After returning home he gives 5 candies to his brother. Find the number of candies left.
Step-by-step explanation:
Consider the provided expression.
[tex]6 \times 24 - 5[/tex]
Here the sign "×" represents repeated addition or multiplication.
The sign "-" represents the subtraction.
To define [tex]6 \times 24-5[/tex] we can imagine any real life situation.
Joy went to 6 shops and bought 24 candies from each shop. After returning home he gives 5 candies to his brother. Find the number of candies left.
What number is 30% of 20?
(will give Brainliest)
In order to get the answer you will have to divide 30 by 100 then divide the number you get from that by 20 to receive your answer.
20/x=100/30
(20/x)*x=(100/30)*x
20=3.33333333333*x
(3.33333333333) to get x
20/3.33333333333=6
=6
Therefore your answer is "6."
Hope this helps
30. Pay rate Paolo earned $500/week by
working 8 h/day, 5 days/week. What was his
hourly rate of pay?
8 * 5 = 40
Paolo gets $500/week for 40h/week.
500/40 = 12.5
He earns $12.50 an hour.
At camp, there are 12
campers and 2 counselors
in each cabin. What is the
ratio of campers to total
people in the cabin?
Answer: 50
Step-by-step explanation:
50+0
Please answer this correctly
Answer:
Heather
Step-by-step explanation:
Because it says that Heather lives FARTHER away from the park than Bryant and that Eva lives CLOSER to the park than Bryant
So since Heather lives even farther away than Bryant she definitely lives farther away than Eva because she's closer than Bryant
Graph the inequality y<-5x
Explanation:
First, we graph the linear function of y = -5x [as though it were an equivalence symbol], then, since there is a less than sign, we shade everything to the left of that.
I am joyous to assist you anytime.
Change decimal into fractions
Answer: I believe is 65/99
Step-by-step explanation: my teacher once told me when it has that infinite thing you place 99 under as a fraction [ however I'm not sure but I think thats right]
Answer:
65/99
Step-by-step explanation:
65/99
Does anyone know how its -25? Need an explanation asap!
A pitcher of water contains 1/4 liters of water. The water is poured equally into 5 glasses.
a. How many liters of water are in each glass? Draw a picture to support your response.
b. Write the amount of water in each glass in milliliters.
a. [tex]\frac{1}{20}[/tex] liters per glass
b. 50 milliliters
To find the amount of water in each glass, divide the total amount of water by the number of glasses, resulting in [tex]\frac{1}{20}[/tex] liters per glass. To express this in milliliters, multiply by 1000 to get 50 milliliters per glass.
a. To find the amount of water in each glass, divide the total amount of water ([tex]\frac{1}{4}[/tex] liters) by the number of glasses (5): [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex] liters per glass. Drawing a visual representation can help understand this partitioning.
b. To express the amount in milliliters, we know that 1 liter is equal to 1000 milliliters. So, [tex]\frac{1}{20}[/tex] liters per glass = ([tex]\frac{1}{20}[/tex]) * 1000 milliliters = 50 milliliters per glass.
To distribute the 250 milliliters equally into 5 glasses, we divide 250 milliliters by 5. This calculation results in:
250 milliliters ÷ 5 = 50 milliliters per glass.
Conversion to LitersTo convert the amount in milliliters back to liters for each glass, recall that 1,000 milliliters is equivalent to 1 liter. Therefore, 50 milliliters is the same as 0.05 liters (since 50 divided by 1,000 equals 0.05).
The question is:
A pitcher of water contains [tex]\frac{1}{4}[/tex] liters of water. The water is poured equally into 5 glasses.
a. How many liters of water are in each glass? Draw a picture to support your response.
b. Write the amount of water in each glass in milliliters.
I do not understand how to figure this out.....
2(3x+6)=42
Answer:
5
Step-by-step explanation:
2(3x + 6) = 42
(3x + 6) = 42/2
(3x + 6) = 21
3x + 6 = 21
3x = 21 - 6
3x = 15
x = 1/3
x = 5
Answer:
The answer would be x=5
Step-by-step explanation:
2(3x+6)=42
so what you're gonna do is use the distributive property, so you would multiply 2 and 3x, and 2 and 6. so then you would have:
6x+12=42
Now you want to get rid of the twelve so you can solve for x. So you are going to subtract 12 from 12 and 42. So now you have:
6x=30
Next you're going to divide 6x and 30 by 6. So you would have x=5
You dont have to do the ttee diagram, how many oitcomes are there for the sandwich thanks.
There are 3 breads, 3 meats and 2 cheese.
To find the total different outcomes, multiply the 3 together:
3 x 3 x 2 = 18
There are 18 different possibilities.
A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams.
Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? (1 point)
8.42 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168
6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71
0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1
0.84 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168 ⋅ 10−1
Answer:
The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))
Step-by-step explanation:
The first step is to think that you have to multiply the number of atoms for the weight of each atom.
When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.
Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24) ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1
⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.
Answer:
the answer is d the last one
Step-by-step explanation:
3.0823 round to three significant figures
Answer:
3.08
Explanation:
The first 3 numbers (from left to right) are the ones counted as 3 significant figures. You alreadty start of 5 significant figures. What you do is count the numbers, from left to right, and once you get to the number you're finding (in this case the 3rd significant figure), then you look at the number to the right of it and see if it's over or under 5. Depending on which one it is will determine wiether you round up or stay at the same point.
I poured 7/8 of a cup of water from a pitcher into a glass. Then poured another 2/3 cup. What is the change amount of the water
The change in water is 5/24 cups.
Write 8 2/9 as a improper fraction
The value of an improper fraction is,
⇒ 74/9
We have to give that,
A mixed fraction is,
⇒ 8 2/9
Now, Change the fraction into an improper fraction as,
⇒ 8 2/9
⇒ (8×9 + 2)/9
⇒ (72 + 2)/9
⇒ 74/9
Therefore, The improper fraction is, 74/9
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During a game, a basketball team scored 38 points worth of two-pointers, 33 points worth of three-pointers, and 8 points worth of free throws. How many shots did the basketball team make during the game.( Hint: A free throw worth one point)
Answer:
38
Step-by-step explanation:
38 divided by 2 is 19
8 divided by 1 is 8
33 divided by 3 is 11
Answer:
38 shots were made.
Step-by-step explanation:
I just worked it out on paper.