Answer: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
k
=
3
+
√
177
12
,
3
−
√
177
12
Decimal Form:
k
=
1.35867789
…
,
−
0.85867789
…
Step-by-step explanation
(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is
Answer:
Given,
Weight of each apple =75 gm
Weight of each orange =40 gm
So,
Weight of x apples =75x gm
Weight of y oranges =40y gm
Thus,
Weight of x apples and y oranges =(75x+40y) gm
I hope it's helpful!
5 circles lie on the same plane.What is the maximum number of intersection points the circles can have?
the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.
Answer:20
Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20
Hope it helps!
How many solutions does this equation have?
-7p - 16 = -17p + 8 + 12p
•no solution
•one solution
•infinitely many solutions
Answer:
One solution
Step-by-step explanation:
-7p - 16 = -17p + 8 + 12p
-7p-16=-5p+8
-7p+5p=8+16
-2p=24
p=-12
Find the median:51,53,49,51,53,50,54,56
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
49, 50, 51, 51, 53, 53, 54, 56
the middle are (51,53) and when u have 2 numbers in the middle u add them up and divide by two which gives us 52:)
Solve 2(x - 5) = 6(x - 1)
Answer:
60
Step-by-step explanation:
so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60
Answer:
x=-1
Step-by-step explanation:
2(x-5)=6(x-1)
2x-10=6x-6
-4x-10=-6
-4x=4
x=-1
What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
y = -5x
y = 2x - 5
y = -5x + 2
Answer:
y= -5x+2 is the equation.
Answer:
y= -5x + 2
Step-by-step explanation:
y = mx + b(we will put the points of "x" and "y" into this formula)
2= -5 (0) +b( as "x" is "0" and is multiplied by "-5" it will become "0" giving us the value of "b")
2=b(finally we will substitute this answer in the formula we've written)
therefore the answer will be:
y= -5x + 2
A steel bridge is 1000m lang at 20 degrees celsius. The bridge will expand or contract by .10m when the temperature changes by 1 degree celsius. How long would the bridge be at 24 degrees celsius? *
Answer:
1000.4m
Step-by-step explanation:
Objects usually expand when the temperature is warmer
Each degree celsius higher, the bridge expands by .10m
If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m
1000m+0.4m=1000.4m
Select all of the expressions equivalent to 2(x + 9y) + 3(2x - 6y).
Answer:
8x
Step-by-step explanation:
=2(x+9y)+3(2x-6y)
=2x+18y+6x-18y
=2x+6x-0y
=8x
Ginger the cat weighed 25lbs! The vet put Ginger on a diet and by the end of the month, Ginger weighed 20lbs. What percentage of her weight did Ginger loose? She lost of her weight.
Answer:
20%
Step-by-step explanation:
25 divided by 5 is 5 and in fractions 1/5 is 20 therefore 20% for every 5 pounds so if you lose 5 pounds you lost 20% of her weight.
Answer:
ana totta
Step-by-step explanation:
the scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
Answer:
17 in
Step-by-step explanation:
.5 in : 6 ft
204/6 x .5 = 17
Your family is on the way to Disneyland! On the freeway you have driven for 120 minutes at a constant speed of 65 miles per hour before you stop for lunch. After lunch you get back on the freeway with a bit of traffic and drive at a constant speed of 40 miles per hour for 30 minutes before stopping for gas. How far did you drive in all? Use a ratio method.
Answer:
150 miles
Step-by-step explanation:
You buy a car in 2017 for $25,000. The value decreases by 16% each year. How much will the car be worth
in 2022? Round your answer to the nearest penny, 2 decimal places.
Answer:
The appropriate answer is "10,455.29856".
Step-by-step explanation:
According to the question,
The time will be:
⇒ t = [tex]2022-2017[/tex]
⇒ = [tex]5[/tex]
On applying formula, we get
⇒ [tex]f(t)=25000(1-.16)^t[/tex]
On substituting the value of "t", we get
⇒ [tex]f(5)=25000(1-.16)^5[/tex]
⇒ [tex]=25000(0.84)^5[/tex]
On solving the power, we get
⇒ [tex]=25000\times 0.4182119424[/tex]
⇒ [tex]=10,455.29856[/tex]
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there are 405 containers in the store, how many are grape juice?
Answer: There are 180 grape juice in the store
Step-by-step explanation:
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4
Total number of containers = 405
total ratio = 4+5 =9
The number of containers that are orange juice = 5/9 x 405
=5 x 45=225
The number of containers that are grape juice will now be = 4/9 x 405
=4 x 45= 180.
Two angles of an isosceles triangle are X and (X+10) .find two possible values of X.
Answer:
Step-by-step exp
X+x+(x+10)=180
3x+10=180
3x=180-170
x=56.666666degrees.
Case 2
x+(x+10)+(x+10)=180
3x+20=180
3x=160
X=53.333333
i hope the answer is help ful
When two angles of an isosceles triangle are given in the form of x, then the value of a single angle can have two possible outcomes those are:
X can be [tex]56.66^\circ[/tex]X can be [tex]53.33^\circ[/tex]Given,
Two angles: X and [tex]\rm{X}+10[/tex]
As we know in an Isosceles triangle, the sum of all the angles is equal to[tex]180^\circ[/tex] and any of the two angles can be equal.
There can be two possible outcomes:
Case 1. When the two equal angles are X
[tex]\begin{aligned}\text{X}+\text{X}+(\text{X+10})&=180\\3\text{X}+10&=180\\3\text{X}&=180-10\\\text{X}&=\dfrac{170}{3}\\\text{X}&=56.66^\circ\end{aligned}[/tex]
Case 2: When the two equal angles are [tex]\rm{X}+10[/tex]
[tex]\begin{aligned}\text{X}+(\text{X}+10)+(\text{X}+10)&=180\\3\text{X}+20&=180\\3\text{X}&=180-20\\\text{X}&=\dfrac{160}{3}\\\text{X}&=53.33^\circ\end{aligned}[/tex]
Therefore, the two possible values of X can be [tex]56.66^\circ[/tex] and [tex]53.33^\circ[/tex]
To know more about the angles of the isosceles triangle, refer to the link:
https://brainly.com/question/12105959
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What is the slope of the line passing through the points (4,-2) and (-5, 4)?
-3/2
-2/3
3/2
2/3
Answer:
B.) -⅔
Step-by-step explanation:
Subtract each variable
y¹-y
x¹-x
-2-4 = -6
4-(-5) = 9 -6/9 = -⅔
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. How much does the store charge for the one additional turkey sub?
Answer:
Seven dollars
Step-by-step explanation:
what is six and eight seven thousandths as a decimal
Answer:
6.087
Step-by-step explanation:
0.000
^ones
^tenths
^hundredths
^thousandths
> Find the area of a circle with diameter 12 yd. Use the value 3.14 and do not round your answer. Be sure to include the correct unit in your answer. 12 yd
[tex]area = \pi {r}^{2} [/tex]
[tex]area = (3.14) {(6)}^{2} [/tex]
[tex]area = (3.14)(36)[/tex]
[tex]area = 113.04 \: yd[/tex]
True or False: Tamika is having 5 friends over for a birthday party. Each serving of ice cream is of a cup. She would like to double that amount for each serving and have enough ice cream for her and her friends. 4 cups is enough
Answer:
TRUE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
False
If you have her and 5 friends that is 6 people.
And her doubled serving is 2 cups.
Enough ice cream would be 12 cups
(6 x 2 = 12)
She only has 4 which is not enough ice cream for everyone given these servings.
I hope this helps.
If you have any questions or concerns please comment or message me. :)
use the distributive property to rewrite the algebraic expression below
4 (x + 2)
the point P = (x, -5/7) lies on the unit curcle shown below. What is the value of x in the simplest form?
Answer:
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Step-by-step explanation:
The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.
Given
[tex]P = (x,-\frac{5}{7})[/tex]
Required
Determine the possible value of x
Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:
[tex]x^2 + y^2 = 1[/tex]
Substitute -5/7 for y
[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]
[tex]x^2 + \frac{25}{49} = 1[/tex]
Collect Like Terms
[tex]x^2 =1- \frac{25}{49}[/tex]
Take LCM
[tex]x^2 =\frac{49 -25}{49}[/tex]
[tex]x^2 =\frac{24}{49}[/tex]
Take the square root of both sides
[tex]x =\± \sqrt{\frac{24}{49}}[/tex]
[tex]x = \±\frac{\sqrt{24}}{7}[/tex]
[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]
Split
[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
While working at a soup kitchen, Roxanne made a pot of vegetable soup to serve 25 people. She made 10 quarts of soup, and gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.
Answer:
2.5 quarts or 5/2
Step-by-step explanation:
Answer:
2/5 quarts or 0.4 quarts
Step-by-step explanation:
there are 25 persons
she made 10 quarts soup
10 quarts / 25 persons = 2/5 quarts = 0.4 quarts
write a linear equation of a line that goes through (8,0) and (-6,7)
Answer:
Line equation: y=−0.5x+4
Slope: -0.5
Intercept: 4
Step-by-step explanation:
If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
values of x and y.
Answer:
x = 6
y = 13
Step-by-step explanation:
since DE and JK are congruent, they are both 18
to find 'y':
3y - 21 = 18
3y = 39
y = 13
DF and JL are diagonals that are congruent so:
9x - 23 = 7x - 11
2x = 12
x = 6
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answer:
what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).
Which is the simplified version of:
7x + 12 + 3x = -6 (x - 7) + 9x
A. 5x = -30
B. 7x = -54
C. 7x = 30
D. 7x = -19
PLEASE DON’T GUESS :(
Will mark brainliest if your rightƪ(˘⌣˘)ʃ
Answer:
The answer is letter D
Step-by-step explanation:
Answer:
7x+3x=10x
-6(x-7)= -6x+42
then 10x+12=-6x+42+9x
10x+12=3x+42
10-3=42_12
7x=30
then the correct answer is C
What do you notice about the equation y=12?
Answer:
X=0
Step-by-step explanation:
If you look at the graph and follow, the x axis to match up with y=12, then you will see that x is 0
Answer:
M=0
Step-by-step explanation:
I got it right on I-Ready and because there is no change in y
a water cooler shaped like a rectangular prism has length of 80 centimeters a width of 40 centimeters and height of 100 centimeters what volume of water is needed to fill the water cooler
[tex]volume = lwh[/tex]
[tex]volume = (80)(40)(100)[/tex]
[tex]volume = 320000 \: {cm}^{3} [/tex]
You need a volume of 320000 cm³ of water to fill the water cooler.
A function is represented by the graph. The y intercept of the function y=-2x+8 is what to the y intercept of the function represented in the graph
Answer:
8
Step-by-step explanation:
HELP HELP I NEED HELP ASAP
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh?
