Answer: The numbers are 4 and 6.
Step-by-step explanation:
Let one number be represented as
x
and the other as
y
.
According to the problem:
x
=
2
3
y
and
x
+
y
=
10
From the second equation we get:
x
+
y
=
10
∴
y
=
10
−
x
(subtracting
x
from both sides)
Replacing the value of
y
in the first equation we get:
x
=
2
3
y
x
=
2
3
(
10
−
x
)
Multiplying both sides by
3
we get:
3
x
=
2
(
10
−
x
)
Opening the brackets and simplifying we get:
3
x
=
20
−
2
x
Add
2
x
to both sides.
5
x
=
20
Divide both sides by
5
.
x
=
4
Since from the second equation we have:
x
+
y
=
10
substituting
x
with
4
we get:
4
+
y
=
10
Subtract
4
from both sides.
y
=
6
Answer: The smaller number is 12.
Step-by-step explanation:
Just took the test
A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
46.78
Step-by-step explanation:
you divide 16 by the cos of 70 and it turns out to be 46.78
6.8 * 10(2)
*keep in note that "2" is an exponent in this question*
Answer:
68
Step-by-step explanation:
6.8 × [tex]10^2[/tex]
= 68
Joe surveyed 128 students at his school. In the survey, he asked students what type of sibling they had: brother, sister, both, or neither. His data is in the Venn diagram below.
Answer: 128 - 48 equals 80. 80 - 35 equals 45. That means the answer is 45.
Step-by-step explanation:
PLEASE HELP !!
221-w=272
What is w??
Answer: W= -51
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-51
Step-by-step explanation:
2 minuses equal plus
Make the expression a perfect square u^2 + 10u + 
Answer:
Take the coefficient of "u"
10
divide it by 2
5
square it
25
So, a perfect square would be
u^2 + 10u +25
which would be
(u +5)^2
Step-by-step explanation:
is 2.63 a rational number?
Thats it. Thats the question
is 2.63 a rational number?
Thats it. Thats the question
no 2.63 is not
Paint costs $19.95 per gallon. Nicole needs 1.25 gallons to complete a painting project
Answer:
$25.00
Step-by-step explanation:
Set up a proportion: [tex]\frac{19.95}{1} = \frac{x}{1.25}[/tex] Cross multiply, then divide: 19.95 × 1.25 = 24.9375, 24.9375 ÷ 1 = $24.9375Round your answer: $24.9375 → $25.00I hope this helps!
Luis has $660 in his savings account earning 4 1/2 % interest. How much interest will he earn in 2 years? How much money will be in the account?
Answer: $59.40 of interest in 2 years, $719.40 in total
Step-by-step explanation:
If you would divide $660 by $100 then 1% of that amount would be $6.60. Assuming it is 4.5% from your question, if you would multiply the amount above then Luis would get $29.70 per year. Also assuming that his savings account isn't changed over time, you would multiply 2 to get $59.40 which is the total amount of interest money earned in 2 years. Add that amount to $660 and you would get $719.40 as the second part of the answer.
The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?
Answer:
2.275%
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)SD
here, x = 70.5
mean = 65.5
SD = 2.5
Substituting these values;
z = (70.5-65.5)/2.5
= 5/2.5 = 2
So we want to calculate the probability that;
P( z> 2)
We check the standard normal distribution table for this
That will be
0.02275
In percentage, this is 2.275 %
please help! one easy khan question <3
Answer:
It's the B
[tex] \sqrt{29} [/tex]
Step-by-step explanation:
[tex]d = \sqrt {(2 - 4)^2 + (2 - 7)^2}[/tex]
[tex]d = \sqrt {(-2)^2 + (-5)^2}[/tex]
[tex]d = \sqrt {4 + 25}[/tex]
[tex]d = \sqrt 29[/tex]
Hope this helps, have a good day
please help me like i really don't understand this and i really need help
Answer:
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Step-by-step explanation:
Given the vertices of ΔABC
A(-2, -1)B(1, 2)C(2, -4)Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).
We know that when the scale factor > 1, then the image is enlarged.
The formula to determine the dilation with a scale factor of 2.5.
P(x, y) → P'(2.5x, 2.5y)
Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.
In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.
Thus,
P(x, y) → P'(2.5x, 2.5y)
A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)
B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)
C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)There are 599 children at Troy's school. There are 206 children
at Nada's school. About how many more children go to Troy's
school than to Nada's school?
400 children
B
250 children
500 children
800 children
Hurrry pls
Answer:
About 400 more children attend Troy’s school than Nada’s school.
Please help me thankso
Answer:
68, 17, $17
Step-by-step explanation:
filling in the first blank using the chart. Money made for 4 sweatshirts is $68
68/4=17, this is the unit price, meaning the amount it would cost for one sweatshirt. Thats where we get the next blank's answer. 17/1 and since we found the unit price, we already answered the last question, $17 per sweatshirt.
how many solution does following equtitions have 7x+21=21
One solution.
[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]
If we can solve for the value of x. Then the solution would be one only for system of linear equations.
For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.
When the equation is false or rather say that both sides have different number or value then there won't be any solutions.
QUICKKK PLEASE HELP!!!! Q:43c +10d=?????
Answer:
53d
Step-by-step explanation:
1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer:
d
Step-by-step explanation:
is answer sd
hurry please in test rn!!
can you guys help me please the things are
A
B
or C
Answer:
I don't really know about this sorry sorry
Answer:
✨ B
Step-by-step explanation:
✨Hope this helps✨
Mr.Jamison will stain th deck
Answer:
yes???
Step-by-step explanation:
Dominica has a total of 22 coins in her pocket, all of
them are nickels and dimes. If the value of the coins
is $1.50, then how many nickels does Dominica
have?
Answer:
So there are 14 nickels (worth a total of 70 cents) and 8 dimes (worth a total of 80 cents)
Step-by-step explanation:
Answer:
she has 2 nickels
Step-by-step explanation:
dimes=10 cents
nickels=5 cents
10x14=140
1.40
5x2=10
1.40+10=1.50
g(x)=−x−2, find g(1)
Answer:
g(1) = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = -x - 2
g(1) is x = 1
Step 2: Evaluate
Substitute in x: g(1) = -1 - 2Subtract: g(1) = -3The price of a smartphone increased from $25 to $40. Find the percent
increase
Answer:60% increase
Source:trust me bro
Answer:
= 60% increase
Step-by-step explanation:
Terry flips a coin 150 times.Make a prediction that the coin will come up tales
A Exactly 300
B Close to but not exactly 300
C Exactly 75
D Close to but not exactly 75
Answer:
its either C or D
Step-by-step explanation:
there are 2 possible outcomes for getting either heads or tails so if we divided 150 by 2 we get 75, so about 75 times you could get tails.
so maybe it is D, but im not sure
People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking, how many gallons do they use every day?
What is the circumference?
16 yd
Answer:
16 yd
Step-by-step explanation:
I will assume 16 yards is the diameter, meaning 8 is the radius.
Circumference is 2πr, or the diameter itself. So, the circumference is 16.
I'm still not sure what measure 16 yd is, or what circumference of a shape you're looking for. Reply to my answer and I'll fix it.
Sandy works at a clothing store.She makes $8 per hour plus 10% commission on her sales.She worked 79 hours over the last two weeks and had a total of 2,414 in sales before taxes.which of the following is closest to what she will earn?
$305
$241
$873
$632
Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?
Answer:
21
Step-by-step explanation:
becuase that's the answer lol
please help first will be brainliest
Answer:
Just multiply or divide the numbers they give you try both
Step-by-step explanation:
The equation of the blue line is y=-x+5. Manipulate
the orange line by setting the sliders so its slope, m, is
-1 and its y-intercept, b, is-3.
Does the system appear to have a solution after the
changes?
Yes. The lines intersect at one point.
Yes. The lines intersect at many points.
No. The lines do not seem to intersect.
Answer:
No. The lines do not seem to intersect.
Step-by-step explanation:
When you move both of the sliders over, you will see they do not intersect. Also I got it right on edge. Hope this helps :)
Answer:
The equation of the blue line is y = –x + 5. Manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-intercept, b, is –3.
Does the system appear to have a solution after the changes?
✔ No. The lines do not seem to intersect.
write a rational number which has no reciprocal or multiplicative inverse.
Answer:
0.
Step-by-step explanation:
0 is the only number that has no reciprocal or multiplicative inverse.
A reciprocal / multiplicative inverse of a number means a number that when multiplied by the original number will equate to 1.
However, no matter what you multiply with 0, it will never be 1.
Hence, the answer is 0.
Hope this helped!